The probability of getting a prime number of heads given that heads occurs on at least 6 of the tosses is 0.0078
The number of observations n is 7
Here the success is heads
The probability of heads is 1/2
We need to find the the probability of getting a prime number of heads.
Heads occurs on at least 6 of the tosses
prime number greater than equal to 6 and less than equal to 7 is 7
So, X = 7
P(X = 7) = 7C7(1/2)⁷(1/2)⁰
P(X = 7) = 1 x (1/2)⁷ x
P(X =7 ) = 1/128
= 0.0078
Therefore, the probability of getting a prime number of heads given that heads occurs on at least 6 of the tosses is 0.0078
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The wholesale price for a desk is $144 .A certain furniture store marks up the price by 20%.Find the price of the desk in the furniture store. Round the nearest cent,as necessary
The printed price of the desk on the furniture store is $173. It can be solved by the concept of cost price and selling price.
What is cost price and selling price?
Cost price is the price of the object at which it is purchaged and selling price is the price of the object at which it is sold. If cost price is more than the selling price then the seller will earn a loss. If the cost price is less than then the selling price then the seller will earn a profit.
The cost price of the furniture = $144
Now, 20% of cost price is,
[tex]=\$ 144\times\frac{20}{100}\\=\$28.8[/tex]
Now, price of furniture on the store = Cost price + 20% of cost price
= $144 + $28.8
= $172.8$
Round off the price = $173
Hence, the printed price of the desk on the furniture store is $173.
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A town has a population of 15000 and grows at 4. 5% every year. To the nearest tenth of a year, how long will it be until the population will reach 20700?.
At a 4.5% annual growth rate, it will take 8.4 years to double the population from 15,000 to 20700.
What is percent?In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Here,
The initial population=15000
Growth rate=4.5%
Final population=20700
Population growth=15000*4.5%
=675
Let n be the number of years.
Final population=initial population + Population growth*number of years
20700=(15000+675n)
675n=20700-15000
675n=5700
n=5700/675
n=8.4 years
It will take 8.4 years to grow the population from 15000 to 20700 at the growth rate of 4.5% per year.
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Which of the following is NOT true of the sample variance when the samples are independent and normally distributed?
it decreases as the number of sample values increases it is an unbiased point estimate of the population variance
it has a normal sampling distribution it remains constant as the number of sample values increases
it has a skewed sampling distribution
Option C, which states that the sample variance is constant as the number of sample values rises when the samples are independent and regularly distributed
Each sampling distribution's variability declines as the sample size go up, becoming more and more leptokurtic. The sample distribution's range is less than the original population's range.
The margin of error & sample size has an inverse relationship, meaning that as sample size rises, sampling error falls. It is because the findings would be more accurate the more evidence you had.
The distribution's dispersion is gauged by the standard error. The dispersion decreases as the sample size increases and the distribution's mean moves closer to the population mean.
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because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. the current production method operates with a mean cost of $220 per hour. a research study will measure the cost of the new method over a sample production period. (a) develop the null and alternative hypotheses most appropriate for this study.
Observe from the data that a director of manufacturing must persuade management that the proposed production process cuts costs in order for the new way to be implemented.
The average cost of the present production process is $220 per hour.
What does "cost" mean?
The sum paid for anything, or its equivalent, is referred to as the price. the investment or expenditure (as of labor or sacrifice) made to obtain a thing; the average cost of a college education has increased significantly.
a)
In this instance, note how the researcher conducts experiments to ensure that the new method will function with a
mean price was under $220. Which is.µ < 220
The following is the Null and Alternative Hypothesis:
Negative hypothesis H.: The new technique will be operational at a mean cost of at least $220.
Therefore, H: µ > 220
An alternative theory. H.: The new technique will function at a mean cost that is lower than
$220
Meaning H µ < 220
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because the sample size is 81, do you need to be concerned about the shape of the population distribution when conducting the t test in (a)? explain. choose the correct answer below. a. no, because n is equal to 81, the sampling distribution of the t test is approximately normal. in general, the t test is appropriate for a large sample size. b. yes, because n is equal to 81, the sampling distribution of the t test cannot be determined. in general, the t test is only appropriate for a normally distributed sample. c. no, because n is equal to 81, the sampling distribution of the t test is approximately normal. in general, the t test is appropriate for this sample size unless the population is skewed. d. yes, because n is equal to 81, the sampling distribution of the t test cannot be determined. in general, the t test requires a larger sample size.
As per the given sample size, the shape of the population distribution when conducting t test is approximately normal.
Sampling.
in statistics, sampling refers the statistical procedure that is concerned with the selection of the individual observation; it helps us to make statistical inferences about the population.
Given,
Here we have the sample size is 81.
Now, we need to find the shape of the population distribution when conducting the t test.
Let us consider you are the manager of a restaurant for a fast-food franchise. And in last month, the mean waiting time at the drive-through window for branches in your geographical region, as measured from the time a customer places an order until the time the customer receives the order, was 3.9 minutes.
Now, you are selecting a random sample of 81 orders.
As per the sample size, the sample mean waiting time is 3.72 minutes, with a sample standard deviation of 0.8 minute.
Now, we complete parts (a) and (b) below.
a. here at the 0.01 level of significance, is there evidence that the population mean waiting time is different from 3.9 minutes.
And state the null and alternative hypotheses.
H0: μ▼ H1: μ ▼
So, H0 is sufficient insufficient evidence to conclude that the population mean waiting time is different from 3.9 minutes .
b. According to the sample size is 81,
The shpe of the population distribution when conducting t test is approximately normal. As in the t test is appropriate for a large sample size.
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a hot-air balloon has a 1414-foot diameter that is being deflated at a rate of 0.250.25 feet per minute. how many minutes, xx, will it take before the balloon has shrunk to a diameter of 88 feet?
The amount of time it would take for the balloon's diameter to decrease to 8 feet is 56 minutes.
What is an example of diameter?
If you look at the cycle wheel, the spikes that run through the center from one end to the other are an illustration of diameter. This is comparable to a circle's diameter, which is a line segment that extends from one end of the circle to the other end while passing through the center.
In how long would the diameter have decreased to 8 feet?
A circle's diameter is determined by drawing a line across its center, touching both ends of its circumference.
Minutes are calculated as diameter/decline.
56 minutes from 14/0.25
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Please explain how you got the answer
Answer:
12x + 6
Step-by-step explanation:
4x + 3 = 12 + (2x) y / x
10x + 6 = X
= 12x + 6 = (18x)
Answer:
12x+6
Step-by-step explanation:
Perimeter is adding all sides or 2(l)+2(w)
it is no different in this so we fill in formula
2(4x+3)+2(2x)
Distribute the 2
2(4x)+2(3)+2(2x)
8x+6+4x
Combine like terms
8x+6+4x
8x+4x+6
12x+6
hopes this helps please mark brainliest
A rancher is filling a trough for her horses. The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. How long will it take for the trough to have 80 gallons of water?
Write and solve an equation to find the answer. How many minutes.
Answer: 5 minutes
Step-by-step explanation: The total change in the amount of water in the trough is the difference between the final amount and the initial amount, which is 80 gallons - 25 gallons = 55 gallons.
Since the rancher is adding 11 gallons of water per minute, the time it will take for the trough to have 80 gallons of water is the total change in the amount of water divided by the rate at which the water is being added, which is 55 gallons / 11 gallons/minute = 5 minutes.
Therefore, it will take the rancher 5 minutes to fill the trough with 80 gallons of water.
For the following pairs of assertions, indicate which do not
comply with our rules for setting up hypotheses and why (the
subscripts 1 and 2 differentiate between quantities for two
different populations or samples): (a) H0: μ = 100, Ha: μ > 100
These hypotheses comply with our rules. H0 cannot include equality,
so these hypotheses are not in compliance. Each μ is a statistic,
so these hypotheses do not comply with our rules. The asserted
value in H0 should not appear in Ha, so these hypotheses are not in
compliance. (b) H0: σ = 20, Ha: σ ≤ 20 These hypotheses comply with
our rules. Ha cannot include equality, so these hypotheses are not
in compliance. Each σ is a statistic, so these hypotheses do not
comply with our rules. The asserted value in H0 should not appear
in Ha, so these hypotheses are not in compliance. (c) H0: p ≠0.25,
Ha: p = 0.25 These hypotheses comply with our rules. Ha cannot
include equality, so these hypotheses are not in compliance. Each p
is a statistic, so these hypotheses do not comply with our rules.
The asserted value in H0 should not appear in Ha, so these
hypotheses are not in compliance. (d) H0: μ1 − μ2 = 25, Ha: μ1 − μ2
> 100 These hypotheses comply with our rules. H0 cannot include
equality, so these hypotheses are not in compliance. Each μ is a
statistic, so these hypotheses do not comply with our rules. The
asserted value in H0 should also appear in Ha, so these hypotheses
are not in compliance. (e) H0: S12 = S22, Ha: S12 ≠S22 These
hypotheses comply with our rules. H0 cannot include equality, so
these hypotheses are not in compliance. Each S is a statistic, so
these hypotheses do not comply with our rules. The asserted value
in H0 should not appear in Ha, so these hypotheses are not in
compliance. (f) H0: μ = 120, Ha: μ = 150 These hypotheses comply
with our rules. Ha cannot include equality, so these hypotheses are
not in compliance. Each μ is a statistic, so these hypotheses do
not comply with our rules. If μ appears in H0, then it should not
appear in Ha, so these hypotheses are not in compliance. (g) H0:
σ1/σ2 = 1, Ha: σ1/σ2 ≠1 These hypotheses comply with our rules. H0
cannot include equality, so these hypotheses are not in compliance.
Each σ is a statistic, so these hypotheses do not comply with our
rules. The asserted value in H0 should not appear in Ha, so these
hypotheses are not in compliance. (h) H0: p1 − p2 = −0.1, Ha: p1 −
p2 < −0.1 These hypotheses comply with our rules. H0 cannot
include equality, so these hypotheses are not in compliance. Each p
is a statistic, so these hypotheses do not comply with our rules.
The asserted value in H0 should not appear in Ha, so these
hypotheses are not in compliance.
a)
Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is right tailed. And null hypothesis can include equality. Further mu is not a statistics,
So option a) i.e these data comply with our rules, is correct and all other are incorrect.
b)
Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is left tailed. And null hypothesis can include equality. Further sigma is not a statistics,
So option d) is correct and all other are incorrect.
C)
Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is left tailed. And null hypothesis can include equality. Further p is not a statistics,
So option (b) is correct and all other are incorrect.
d)
Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is left tailed. And null hypothesis can include equality. Further mu1 and mu2 is not a statistics,
So option a) i.e these data comply with our rules, is correct and all other are incorrect.
e)
Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is left tailed. And null hypothesis can include equality. Further sigma is not a statistics,
So option (c) correct and all other are incorrect.
f)
Since alternative hypothesis can be of either right tailed or left tailed or a simple hypothesis. Here alternative hypothesis is a simple hypothesis And null hypothesis can include equality. Further mu is not a statistics,
So option a) i.e these data comply with our rules, is correct and all other are incorrect.
g)
Since alternative hypothesis can be of either right tailed or left tailed or two tailed. Here alternative hypothesis is two tailed. And null hypothesis can include equality. Further sigma1 and sigma 2 is not a statistics,
So option a) i.e these data comply with our rules, is correct and all other are incorrect.
h)
Since alternative hypothesis can be of either right tailed or left tailed. Here alternative hypothesis is left tailed. And null hypothesis can include equality. Further p is not a statistics, and asseter value of H0 should not appear in asserted value in Ha.
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i don't know how to start
Using the equation of the proportional relationship, the number of miles she would drive on 50 gallons is: 1,660 miles.
What is a Direct Proportional Relationship?A direct proportional relationship can be defined by the equation, y = kx, where the constant of proportionality between the variables is given as the value of k.
First, we need to write an equation that defines the table of values given. To do this, find the constant of proportionality by using any pair of values from the table, say (6, 199.2):
Number of gallons used = x
Number of miles driven = y
Constant of proportionality, k = y/x = 199.2/2
k = 33.2
To write the equation for the proportional relationship, substitute k = 33.2 into y = kx:
y = 33.2x
To find the how many miles she would drive on 50 gallons, substitute x = 50 into y = 33.2x:
y = 33.2(50)
y = 1,660 miles.
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The perimeter of a rectangle is 8 inches . The length of rectangle is one inch more that twice the width of the rectangle.Find the dimensions for the rectangle
Answer: Length 3, width is 1.
Step-by-step explanation: L + W = 4
L = 2W + 1
which is a characteristic of any function created by the product of two linear factors?
The characteristic of any function created by the product of two linear factors has two x-intercepts.
According to the question;
We are required to determine which is a characteristic of any function created by the product of two linear factors.
The product of two linear factors results in a quadratic function.
Since a quadratic function is a polynomial of degree two, 2.
In essence, the resulting function created by the product of two linear factors has two x-intercepts.
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Math Question Attached
Answer:
D
Step-by-step explanation:
A simpler way to see it, of course, is that the mentioned line segments lie on the same line, so they must have the same slope.
given vector u equals open angled bracket negative 11 comma negative 5 close angled bracket and vector v equals open angled bracket 4 comma 8 close angled bracket comma what is projvu?
The required projection of u onto v is the vector (-23/20)i - (23/10)j, or approximately <-1.5, -2.13>.
To calculate the projection of vector v onto vector u (proj_vu), we can use the formula:
[tex]proj_{vu} =\dfrac {(v \times u)}{||u||^2} *v[/tex]
Here, u is the vector -11i - 5j and v is the vector 4i + 8j.
Compute the dot product of u and v.
u · v = (-11)(4) + (-5)(8)
= -92
Compute the magnitude of v.
[tex]||v|| = \sqrt{(4^2 + 8^2)} \\= \sqrt{80}\\ = 4\sqrt{5[/tex]
Compute [tex]proj_{vu}[/tex]using the formula.
[tex]proj_{vu} = \dfrac{u \times v} {||v||^2} * v\\ proj_{vu} = (-92 / (80)) * (i + 2j)\\proj_{vu} = (-23/20)i - (23/10)j[/tex]
Therefore, the projection of u onto v is the vector (-23/20)i - (23/10)j, or approximately <-1.5, -2.13>.
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The question is incomplete, the complete question is given below:
Find the projection of vector v onto vector u or what is proj_vu?
Where.
Vector u = <-11, -5>
Vector v = <4, 8>
One hundred people purchase lottery tickets. Three winning tickets will be selected at random. If first prize is $100, second prize is $50, and third prize is $25, in how many different ways can the prizes be awarded?.
The number of different ways the prizes can be awarded is 161700
How to determine the number of different ways can the prizes be awarded?From the question, we have the following parameters that can be used in our computation:
Total number of people, n = 100Total numbers of winners, r = 3 i.e. the first, the second, the thirdThe number of different ways the prizes can be awarded is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 100 and r = 3
Substitute the known values in the above equation
Total = ¹⁰⁰C₃
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 100!/97!3!
Evaluate
Total = 161700
Hence, the number of ways is 161700
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the administration of community hospital is studying the activity of their cardiovascular telemetry unit, which has 12 beds. during the last semiannual period (july through december), there were 2,200 inpatient service days. calculate the average daily census for this period? round to a whole number.
The required the average daily census for this period is 12.
What is Average?A Average can be characterized as the amount of all numbers isolated by the all out number of values. A mean can be characterized as a normal of the arrangement of values in an example of information. At the end of the day, a normal is likewise called the math mean. It is known as a mean to Depict the average.
According to question:there were 2,200 inpatient service days.
Number of days between this period = 184 days
So, average daily census = 2200/184
11.95
⇒ 12 up to whole number.
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Solve for x in this figure.
x = 111°
Interior angles of a polygon
The formula for the sum of the interior angles of a polygon with n sides is: (n-2) x 180°.
The mentioned polygon has 7 sides, so we can put this in the formula:
The sum of the interior angles = (n – 2) x 180°
= (7 – 2) x 180°
= 5 x 180°
= 900°
We already had the value of the 6 interior angles, so we can calculate the 7th angels (x) as follow:
900° = 136° + 118° + 135° + 139° + 141° + 120° + x
= 789° + x
x = 900° – 789°
= 111°
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Answer:
As we than it is a diagram of heptagon. so the sum of its angles is 900°
according to the diagram,
x+136°+118°+135°+139°+141°+120°=900°[total sum of heptagon angles]
or, x+ 789°=900°
or, x=900°-789°
or, x=111°
mr. and mrs. smith plan to roof the cabin on 2 consecutive days. asusming that the chance of rain is independent of the day, what is the progbability it will rain both days
By using the concept of probability, it can be calculated that
Probability that it will rain on both the days = 0.04
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Probability of rain on the first day = 0.2
Probability of rain on the second day = 0.2
Assuming that the chance of rain is independent of the day
Probability that it will rain on both the days = 0.2 [tex]\times[/tex] 0.2 = 0.04
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Complete Question
The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle (ABC), the walls are perpendicular to the level floor (ED), AC || ED, F is the midpoint of AC, and BF ⊥ AC.
During the week the Smiths plan to roof the cabin, there is a 20% chance of rain each day.
Mr. and Mrs. Smith plan to roof the cabin on 2 consecutive days. Assuming that the chance of rain is independent of the day, what is the probability that it will rain both days?
which of the following statements about regression analysis is false? multiple choice it uses information on the explanatory variables to predict the value of the response variable. it can establish cause-and-effect relationships. it is related to correlation analysis. it can have multiple explanatory variables.
It is untrue that it can build cause-and-effect relationships.
When the following criteria are met, a cause-and-effect relationship is asserted: the two occurrences take place at the same time and location; one event occurs right before the other; and it seems doubtful that the second event would have happened without the first event first occurring.
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3x + 2 ≥ 4x + 8 solve and graph the solution to the inequality
answer : x≤-6
steps:
3x+2≥4x+8
-x≥6
x≤-6
Answer:
x≤−6
View graph below
Step-by-step explanation:
x≤−6
Solution Steps
3x+2≥4x+8
Subtract 4x from both sides.
3x+2−4x≥8
Combine 3x and −4x to get −x.
−x+2≥8
Subtract 2 from both sides.
−x≥8−2
Subtract 2 from 8 to get 6.
−x≥6
Divide both sides by −1. Since −1 is negative, the inequality direction is changed.
x≤−6
X could be from -6 to -infinity.
Sean runs 2600 meters in 10 minutes.How many meters can Sean run in one minute?
Answer:
Sean can rub in one minute:
260 meters
Step-by-step explanation:
2600 meters ⇒ 10 minutes
A meters ⇒ 1 minute
A = 2600 meters * 1 minute / 10 minute
A = 260 meters
Answer: The correct answer is Sean can run 260 meters in 1 minute
Step-by-step explanation:
What we know:
Sean runs 2600 meters in 10 minutesWhat we need to find out:
How many meters can Sean run in one minute?Divide the total meters by the total minutes to find out the meters per minute
2600 meters / 10 minutes = 260 meters per minute
Distance in 1 minute
Time * meters per minute = distance
1 * 260 = 260 meters in 1 minute
suppose that you have 600 feet of rope and want to use it to make a rectangle. what dimensions should you make your rectangle if you want to enclose the maximum possible area?
The dimensions of the rectangle should be 150 feet by 400 feet in order to enclose the maximum possible area.
To explain this step by step:
Step 1: We know that the perimeter of a rectangle is equal to 2*length + 2*width.
Step 2: Since we have 600 feet of rope, we can plug this number into the equation: 2*length + 2*width = 600
Step 3: To solve for the length and width, we can divide both sides by 2: length + width = 300
Step 4: We can then separate the equation into two equations: length = 300 - width and width = 300 - length
Step 5: Since we want to find the maximum possible area, we should set width equal to the larger number, 300, and set length equal to the smaller number, 300 - width.
Step 6: Plugging this into the equation, we get: width = 300 and length = 300 - width = 300 - 300 = 0.
Step 7: Therefore, the maximum possible area that can be enclosed with 600 feet of rope is 150 feet by 400 feet dimensions.
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hurry, please!
A rectangle is shown on a coordinate plane with vertices A(Negative 4, 8), B(1, 8), C(1, Negative 1), and D(Negative 4, Negative 1).
On a coordinate plane, a rectangle has 4 points. Point A is (negative 4, 8), point B is (1, 8), point C is (1, negative 1), point D is (negative 4, negative 1).
What are the dimensions of the rectangle?
The base is 4 units and the height is 9 units.
The base is 5 units and the height is 7 units.
The base is 5 units and the height is 9 units.
The base is 9 units and the height is 3 units..
Answer: The base is 4 units and the height is 9 units.
Step-by-step explanation: To find the dimensions of the rectangle, we can use the coordinates of the points A, B, C, and D. The base of the rectangle is the distance between the points A and B, or the distance between the points C and D. We can find this distance by subtracting the x-coordinates of the points: 1 - (-4) = 5. Therefore, the base of the rectangle is 5 units.
Next, we can find the height of the rectangle by subtracting the y-coordinates of the points A and C, or the points B and D. We can do this by subtracting the y-coordinates of the points: 8 - (-1) = 9. Therefore, the height of the rectangle is 9 units.
Therefore, the dimensions of the rectangle are a base of 5 units and a height of 9 units, so the correct answer is A; The base is 4 units and the height is 9 units.
A statistics class designed a survey to learn the favorite season of the freshmen class.
Let A be the event that the name of the favorite season starts with the letter S.
Let B be the event that the name of the favorite season does not start with the letter S.
There are l__l outcomes in the sample space.
There are l__l outcomes in event A.
There are l__l outcomes in event B.
There are 4 outcomes in the sample space.
There are 2 outcomes in event A.
There are 2 outcomes in event B.
Sample Space:
A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes. The random experiment's sample spaces are written in curly brackets, " ".
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There are 4 outcomes in the sample space.
There are 2 outcomes in event A.
There are 2 outcomes in event B.
Sample Space:
Several possible outcomes from a random experiment make up a sample space. The sample space is designated with the letter "S".
Events are a subset of potential experiment outcomes.
A sample region could have a range of outcomes, depending on the experiment.
Any sample space with a finite number of outcomes is said to be discrete or finite. Sample spaces for the random experiment are denoted by " " curly brackets.
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Terry has a goal of making $300 in commission for the week if her commission is based on 18% of sales how much does she need to sell to make her goal
The amount of sales Terry must make is $1667
How to determine the amount in sales?
From the question, we have the following parameters that can be used in our computation:
Commission = 18% of sales
Commission = $300
These parameters mean that
Commission = 18% of sales
Substitute the known values in the above equation, so, we have the following representation
18% of sales = 300
Divide both sides by 18%
Sales = 1667
Hence, the amount is $1667
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Zoe goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 5% is applied to the bill. Zoe decides to leave a tip of 15% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Zoe paid.
The expression in terms of x that represents the total amount that Zoe paid is 1.2x
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
A tax of 5% is applied to the bill.
Zoe decides to leave a tip of 15% on the entire bill (including the tax).
let the bill cost $x.
So, the price after tax and tip
= x+ 5% of x+ 15% of x
= x + 0.05x + 0.15x
= x + 0.20x
= 1.2x
Hence, the expression in terms of x that represents the total amount that Zoe paid is 1.2x
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A team of A4 paper contain 500 heet. The ize of each paper i 297mm long and 210mm wide. The volume of the team i 37422cm cube. Find the thickne of each heet of paper,leaving your anwer in cm
Using the conversion factor, we can say that each sheet of paper is 0.0012mm thick.
What is the conversion factor?A conversion factor is a quantity or formula required to change a measurement from one system of units to another system of the same measurement.
The amount is often expressed as a fraction or ratio with a multiplication factor.
So, 500 sheets of A4 paper make up a conventional ream. Each paper measures 297mm in length by 210mm broad, and one ream contains 3742.2cm of paper.
to change cm to mm
3742.2cm = 37422 mm
Sheet 1's surface
(297mm) X 210mm) = 62370mm²
1st volume sheet:
37422mm : 500 = 74.844mm
One sheet's thickness is:
74.844mm : 62370mm = 0.0012mm
Therefore, each sheet of paper is 0.0012mm thick.
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Correct question:
A ream of A4 paper contains 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm find the thickness of each sheet of paper answer in millimeters
When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 55 days by 15 workers. How many days would it take to build a similar house with 33 workers?
Answer: 25 days
Step-by-step explanation:
We know that it takes 55 days with 15 workers, so we need to find how many days it takes with 1 worker by taking 55 timed 15 = 825 days for 1 worker.
Then we take 825 divided by 33 and get 25 days for 33 workers.
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Answer:
B
Step-by-step explanation:
Its the second one, Answer B
Solve the system by graphing and identify and state the number of solutions y=-x+1. Y=1/3x-3
By graphing the system of equations, we will see that the solution is x = 3 and y = -2
How to solve the system of equations graphically?
Here we have te following system of equations:
y = -x + 1
y = (1/3)*x - 3
To solve the system we can graph bot equation in the same coordinate axis and try to identify the intersection points between the graphs.
Below you can see the graph
We can see that the interception point is (3, - 2), then the solution to the system of equations is x = 3 and y = -2.
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