The relationship between the number of games Carlos buys and the total price is proportional.
What is a proportional relationship?
A proportional relationship exists between two or more variables if they move in the same direction. If one of the variables increases, the other variable increases.
As the number of games that are bought increases, the total price paid also increases. This means that the relationship is proportional.
The formula that is used to represent proportional relationship is:
T = kg
Where:
T = total price k = constant g = number of games boughtT = $36g
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help me i need it bad
Answer:
36
I looked it up on
If 1 pound = 16 ounces, how many pounds are in 435 ounces?
Answer: 27.1875 pounds
Step-by-step explanation:
To find out how many pounds are in 435 ounces, we need to divide the number of ounces by the number of ounces per pound. Since 1 pound is equal to 16 ounces, we can divide 435 ounces by 16 ounces per pound to get the number of pounds. This gives us 435 ounces / 16 ounces/pound = 27.1875 pounds.
Therefore, there are approximately 27.1875 pounds in 435 ounces.
Answer:
27.1875 pounds
Step-by-step explanation:
1 pound = 16 ounces,
x pounds = 435 ounces
x = 435 ounces * 1 pound / 16 ounces
x = 27.1875 pounds
the number line shows point m at 15,490 rounded to the nearest thousand?
Answer:
I can't see the number line, but I'll say 15,000
The solution is, 15000 when 15,490 rounded to the nearest thousand.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, we have,
given that, 15,490
now, we have to rounded to the nearest thousand.
we get, 490 < 500
so, it is 15000
Hence, The solution is, 15000 when 15,490 rounded to the nearest thousand.
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residents of three villages with three different types of water supply were asked to participate in a survey to identify the prevalence of cholera carriers. virtually everyone present at the time submitted to examination. the proportion of residents in each village who were carriers was computed and compared. what type of study was this?
The type of study was cross-sectional study.
An example of an observational study design is the cross-sectional study design. In a cross-sectional study, the researcher simultaneously assesses the participants exposures and outcomes.
After choosing the study subjects, the researcher conducts the study in order to evaluate the exposure and results.
For population-based surveys and to determine the prevalence of illnesses in clinic-based samples, cross-sectional designs are employed.
These studies are typically affordable and reasonably quick to carry out.
An illustration of a cross-sectional study might be a medical investigation into the incidence of cancer in a particular community.
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A scientist is determining
the mass of 30,000
molecules of oxygen.
a. How many
significant digits
should be in the
solution?
Mass of one molecule of
oxygen = 5.3 x 10-23 gram
Answer:
The mass of the 30,000 molecules is 1.59\times 10^{-18}1.59×10
−18
Given that,
There are 30,000 molecules.
And, the mass of one molecule of oxygen i.e. 5.3\times 10^{-23}5.3×10
−23
gram.
Based on the above information, the calculation is as follows:
\begin{gathered}= 30,000 \times 5.3\times 10^{-23}\\\\= 3\times10^4 \times 5.3\times 10^{-23}\\\\= 15.9\times 10^{-23+4}\\\\= 15.9\times 10^{-19}\\\\= 1.59\times 10^{-19}\times 10\\\\= 1.59\times 10^{-18}\end{gathered}
=30,000×5.3×10
−23
=3×10
4
×5.3×10
−23
=15.9×10
−23+4
=15.9×10
−19
=1.59×10
−19
×10
=1.59×10
−18
Therefore we can conclude that the mass of the 30,000 molecules is 1.59\times 10^{-18}1.59×10
−18
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A coin is flipped 8 times. find the probability of the event: exactly 6 heads a. 0.4375 b. 0.75 c. 0.0039 d. 0.109
The correct option d. 0.109, for the probability of the event: exactly 6 heads out of 8.
Describe the term binomial distribution?The possibility that a value would take one of 2 independent values given a particular combination of factors or assumptions is captured by the statistical distribution known as the binomial distribution.P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
The probability of getting one head = 1/2.
p = 0.5.
Thus, the probability of getting one tail = 1/2
q = 0.5
Thus, for exactly 6 heads
P(X = 6) = ⁸C₆. (0.5)⁶ (0.5)²
P(X = 6) = 0.109
Thus, the probability of the event: exactly 6 heads on flipping coin 8 times is 0.109.
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calculate a two-sided 95% confidence interval for true average degree of polymerization. (round your answers to two decimal places.)
95% confidence interval for true average degree of polymerization is [430.87 ; 446.07] and this interval suggest that 441 is a plausible value for true average degree of polymerization and also this interval does not suggest that 451 is a plausible value.
Given :
Sample = [ 418, 421, 421, 422, 425, 428, 431, 435, 437, 438, 445, 447, 448, 453, 458, 462, 465 ]95% confidence interval.The total number of values given is, n = 17
Mean, μ₀ = 438.47
Standard Deviation, σ = 14.79
The normal distribution is given by: N (438.47 ; 14.79)
If Cl is 95% then is 5% and is 2.5%
α/2 = 0.025
Now, use t-statistics distribution with (n -1) degree of freedom
df = 16
So, the t score for 0.025 and 16 s from t-table 2.120.
CI = [ μ₀ ± [tex]t_{\alpha /2}[/tex] ; (n-1) × σ/ √n]
⇒ CI = [μ₀ ± 2.120 × 14.79/√17
⇒ CI = [ μ₀ ± 7.60]
⇒ CI = 430.87 ; 446.07]
Yes, the interval suggests that 441 is a plausible value for true average degree of polymerization.
No, the interval does not suggest that 451 is a plausible value.
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Clearly, show all working on Folder Leaves. I 1. The area of a trapezium, A, is given by the formula A = (a+b)÷2 h, where a and b are the lengths of the parallel sides and h is the perpendicular height. a) Apply the necessary operations to make side 'b' the subject.
Making b the subject in the formula for area of a trapezium, A, given by A = (a+b)÷2 h is found to be b = 2A/h - a
How to write the expression in terms o f bThe given expression for area of trapezium is A = (a+b)÷2*h
b is solved for as follows
A = (a+b)÷2*h
A = h * (a+b)/2
divide through by h
A/h = (a+b)/2
multiply through by 2
2A/h = (a + b)
2A/h = a + b
b = 2A/h - a
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determine the area under the standard normal curve that lies to the right of the z-score −0.97 and to the left of the z-score −0.59.
0.1116 is the area under the standard normal curve using the given z-score.
What is Z-score?The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed.
Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.
The 90th percentile's z-score is 1.2816, as calculated by the Percentile to Z-Score Calculator.
Therefore, a student's z-score would be deemed "excellent" if it was greater than or equal to 1.2816.
So, the area under the standard normal curve will be:
Find the z-scores by looking at the table's intersection of the 0.9 down and 0.07 across columns, which is 0.1660.
Similarly, find -0.5 down and 0.09 across to get 0.2776.
Add them together now: 0.2776 - 0.1660 = 0.1116
Therefore, 0.1116 is the area under the standard normal curve using the given z-score.
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Helpppppp!!!!!!!!!!!!!!!!!!!!!
Exercise 6. A quadrangular pyramid has a rectangular base of dimensions 6 cm and 8 cm and height 12 cm. a) Draw the lateral edges of the pyramid; b) Calculate the volume of the pyramid; c) Calculate the total surface area of the pyramid
Answer:
Step-by-step explanation:
6you can mow 800 sq ft of lawn in 15 minutes. at this rate, how many minutes will you take to mow a lawn that measures 6000 sq ft
It will take 112.5 minutes to mow a lawn that measures 6000 sq ft .
In the question ,
it is given that ,
the time taken to mow 800 sq ft of the given lawn is = 15 minutes ,
So , the time taken to mow 1 sq ft of lawn is = 15/800 minutes .
to find the time taken to mow 6000 sq ft , we multiply by 6000 ,
We get ,
time taken to mow 6000 sq ft of the lawn is = 6000*(15/800)
on solving , we have
= 90000/8000
Simplifying further ,
we get ,
= 112.5 minutes
Therefore , 6000 sq ft lawn will be mowed in 112.5 minutes .
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Can someone help me out with this question? I've been practicing it this one is confusing to me
Answer:
NK = 26
Step-by-step explanation:
You have a triangle with the centroid identified and all medians drawn. You are given IK = 52 and want NK, where point N is the intersection of median JN with side IK.
CentroidThe centroid of a triangle is the point where the medians intersect. It divides each median in the ratio 2:1.
MedianA median of a triangle joins a vertex with the midpoint of the opposite side. Here, that means point N is the midpoint of side IK.
IK is given as length 52, so each half of that segment is 52/2 = 26.
IN = NK = 26
A bicycle is traveling at a constant speed of 15 miles per hour. The total distance the bicycle travels can be found using the equation: d=15h
The time that it takes for a ride of 24 miles is given as follows:
1.6 hours.
How to obtain the numeric value of a function or of an expression?To obtain the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the desired numeric value.
The distance in this problem is given as the multiplication of the velocity of 15 miles per hour and the time in hours, as follows:
d = 15h.
The variable h can be isolated, thus giving the time in hours for a distance of d miles, as follows:
h = d/15.
The time for a distance of 24 miles is obtained replacing the lone instance of d by 24, as follows:
h = 22
d = 1.6 hours.
Missing InformationThe problem asks for the time for a distance of 24 miles.
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What is the average rate of change in profit from hour 5 to hour 10, in dollars per hour?.
The profit increased at an average pace of $600 between Hour 5 to Hour 10.
What exactly defines rate of change?The term "rate of change" (ROC) describes the rate where something transforms over time. Thus, it is not the amount of individual themselves but rather the acceleration. (namely, the rate). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.An indicator of the how one dimension changes in proportion to another is a rate of change.
The table for the price is given as;
Hour Profit
0 $0
2.5 $500
5 $900
7.5 $1200
10 $1500
After 5 hours, the profit is 900, and after another 5 hours, the profit is 1500.
In order to determine that average rate of change, we must take 900 away from 1500.
1500-900 = 600
Thus, an average rate of change for profit during Hour 5 to Hour is therefore $600.
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Mary has 2/5 cups of flour, 1/4 cup of sugar 1/2 cups of baking powder. How much ingredients does mary have all together
state the derivatives for the six inverse trigonometric functions. what study suggestions would you recommend for fellow students to learn these?
Derivative of six inverse trigonometric functions are as follow:
d/dx(sin⁻¹x) = 1 / √1 - x²
d/dx(cos⁻¹x) = -1 / √1 - x²
d/dx(tan⁻¹x) = 1 / √1 + x²
d/dx(cosec⁻¹x) = -1 / |x|√ x² - 1
d/dx(sec⁻¹x) = 1 / |x|√ x² -1
d/dx(cot⁻¹x) = -1 / √1 + x²
As given in the question,
Explanation of the derivative of six inverse trigonometric functions are as follow:
1. y = sin⁻¹x
⇒ x = siny
⇒d/dx(x) = d/dx(siny)
⇒ 1 = cosy dy/dx
⇒dy/dx = 1/cosy
⇒dy/dx = 1/√1-sin²y
⇒dy/dx = 1/√1-x²
⇒d/dx( sin⁻¹x) = 1/√1-x²
2. y = cos⁻¹x
⇒ x = cosy
⇒d/dx(x) = d/dx(cosy)
⇒ 1 =-siny dy/dx
⇒dy/dx = -1/siny
⇒dy/dx = -1/√1-cos²y
⇒dy/dx = -1/√1-x²
⇒d/dx( cos⁻¹x) = -1/√1-x²
3. y = tan⁻¹x
⇒ x = tany
⇒d/dx(x) = d/dx(tany)
⇒ 1 =sec²y dy/dx
⇒dy/dx = 1/sec²y
⇒dy/dx = 1/√1+ tan²y
⇒dy/dx = 1/√1 + x²
⇒d/dx( tan⁻¹x) = 1/√1+x²
4. y = cosec⁻¹x
⇒ x = cosecy
⇒d/dx(x) = d/dx(cosecy)
⇒ 1 =-cosecy coty dy/dx
⇒dy/dx = -1/cosecy coty
⇒dy/dx = -1/cosecy√cosec²y-1
⇒dy/dx = -1/|x|√x²-1
⇒d/dx( cosec⁻¹x) = -1/|x|√x²-1
5. y = sec⁻¹x
⇒ x = secy
⇒d/dx(x) = d/dx(secy)
⇒ 1 =secy tany dy/dx
⇒dy/dx = 1/secy tany
⇒dy/dx = 1/secy√sec²y-1
⇒dy/dx = 1/|x|√x²-1
⇒d/dx( sec⁻¹x) = 1/|x|√x²-1
6. y = cot⁻¹x
⇒ x =coty
⇒d/dx(x) = d/dx(coty)
⇒ 1 =-cosec²y dy/dx
⇒dy/dx = -1/cosec²y
⇒dy/dx = -1/√1+ cot²y
⇒dy/dx = -1/√1 + x²
⇒d/dx( cot⁻¹x) = -1/√1+x²
Therefore, the derivative of the six inverse trigonometric functions are given below:
d/dx(sin⁻¹x) = 1 / √1 - x²
d/dx(cos⁻¹x) = -1 / √1 - x²
d/dx(tan⁻¹x) = 1 / √1 + x²
d/dx(cosec⁻¹x) = -1 / |x|√ x² - 1
d/dx(sec⁻¹x) = 1 / |x|√ x² -1
d/dx(cot⁻¹x) = -1 / √1 + x²
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Rewrite the ratio 8: 36 as an equivalent ratio of the form 1 : n.
Give any decimals in your answer to 1 d.p.
The value of n in 1:n is 4.5 in the given equivalent ratio.
What is equivalent ratio?
The concept of a ratio in mathematics is the divisional comparison of two quantities, the antecedent and consequent. As an illustration, each ingredient must be added according to a ratio during cooking. So, we may argue that a ratio is employed to represent one quantity as a portion of another. The ratio can be written as a fraction as well. If the ratio a:b is a fraction, its form is a/b. As a result, it is simple to compare two or more equivalent ratios expressed as equivalent fractions.
The given ratio is 8:36.
In fraction form = 8/36
= 1 / 4.5
=1:4.5
Hence, the value of n in 1:n is 4.5.
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Write a polynomial function with rational coefficients so that P(x)=0 p open x close equals 0 has the given roots.
7 and 12
Answer:
p(x)=x^2 -17 x + 84
Step-by-step explanation:
p(x)=(x-7)(x-12)
= x^2-17x+84
i need help asap!! this is due soon!!!
What is the inequality notation of this equation??
(-∞,3)∪(5,∞)
Answer:
Interval notation to inequality notation
each side of a square is increasing at a rate of 7 cm/s. at what rate (in cm2/s) is the area of the square increasing when the area of the square is 64 cm2?
If each side of a square is increasing at a rate of 7 cm/s, then the rate of increasing the area of the the square when the area of the square is 64 cm square is 112 centimeter square per second
The rate of change of length with respect to the time = 7 cm per second
That is
dl / dt = 7 cm per second
The area of the square = l^2
Where l is the length of the square
The rate of change area with respect to the time is
dA / dt = 2l dl/dt
The area is given that 64 centimeter square and the side will be 8 cm
Substitute the values in the equation
dA / dt = 2 × 8 × 7
= 112 centimeter square per second
Therefore, the rate of increasing the area is 112 centimeter square per second
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help! trigonometry, ty
The logarithmic expression as a single logarithm is [tex]log_{2}[/tex](a[tex]b^{2}[/tex]/[tex]c^{3}[/tex])
What is logarithm?A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction.
[tex]log_{2}a + 2log_{2}b - 3log_{2}c[/tex]
[tex]2log_{2}b[/tex] may be simplified as [tex]log_{2}b^{2}[/tex]
[tex]3log_{2}c[/tex] may be simplified as [tex]log_{2}c^{3}[/tex]
Which reduces the expression as
[tex]log_{2}a[/tex] + [tex]log_{2}b^{2}[/tex] - [tex]log_{2}c^{3}[/tex]
factor out log2 since it is common
and replace addition sign with multiplication and subtraction sign with division
[tex]log_{2}(\frac{a * b^{2} }{c^{3} })[/tex] which finally becomes [tex]log_{2}(ab^{2} /c^{3})[/tex]
In conclusion, the simplified form of the logarithmic expression is [tex]log_{2}(ab^{2} /c^{3})[/tex]
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what is 24+70 equals
Please help now asap !!!!!!!!!?!
Answer: 2.12 miles.
Step-by-step explanation: To find the width of Hardee County, we need to determine the length of one of its sides. We can use the fact that the area of a rectangle is equal to its length times its width to find the length of one of its sides.
The area of Hardee County is 637 square miles, and we know that its width is 30 miles. We can use this information to write the following equation: 637 square miles = 30 miles * length
We can solve this equation for the length by dividing both sides by 30: 637 square miles / 30 miles = length
This simplifies to: 21.2 square miles = length
Since the length of a rectangle is one of its sides, the width of Hardee County is 21.2 miles.
when 500 phone books are recycled, which of the following statements is false? a. conserves around 9 cubic yards in landfill space b. conserves around 17-31 trees c. conserves around 4,077 kilowatt hours of energy d. conserves around 463 gallons of oil please select the best answer from the choices provided
The false statement out of given four option is (a)conserves around 9 cubic yards in landfill space.
What is area ?Area is characterized as the complete space taken up by a level (2-D) surface or state of an item. Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Region. Presently, envision your square is comprised of more modest unit squares
According to question:
That's what first explanation expresses "conserves around 9 cubic yards in landfill space "
Yet, here unit of landfill space is off-base. Since landfill space is an amount that in every case express in region. Unit of region in the proclamation articulation ought to be square yards not cubic yards
The excess amounts units are reliable with what they address.
Subsequently, When 500 telephone directories are reused, then, at that point, false statement is option (a) Monitors around 9 cubic yards in landfill space.
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If marbles cost $48 per doz, how many marbles can be bought with $140?
Answer:
2.91666667 dozen marbles can be purchased.
Step-by-step explanation:
To get this answer, you divide $140, by how much it costs per dozen, so $48.
Thus, you can purchase 2.91666667 dozen marbles, with $140.
if the null hypothesis is true, what value is expected on average for the repeated-measures t statistic?
A repeated-measures test's null hypothesis is that the population as a whole will have a mean difference of μD = 0.
What is Null Hypothesis?
In probability and statistics, the null hypothesis is a comprehensive statement or default status that there is zero happening or nothing happening.
The t statistic is calculated from the difference between the sample parameter in question and the value of the corresponding population parameter assumed under the null hypothesis. If the hypothesis is true, the difference between the values (and the corresponding t statistic) is expected to be zero.
A repeated-measures test's null hypothesis is that the population as a whole will have a mean difference of μD = 0.
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Kavion and Samantha like to collect stamps. Kavion 45 has stamps. This is 3 times 2 less than the number of stamps Samantha has.
Kevion and Samantha like to collect stamps and if Kevion has 45 stamps then Samantha has 45*3-2= 129 stamps.
What are Mathematical operations?The fundamental methods for mixing numbers or algebraic expressions to carry out mathematical computations are known as mathematical operations. These operations include multiplication, division, exponentiation, multiplication, and subtraction. More complex operations, such square roots, logarithms, and trigonometric functions, are available in addition to these fundamental operations. Mathematical operations are employed in a wide collection of disciplines, from elementary arithmetic to intricate computations in engineering and physics. We can use these operations to resolve issues and generate predictions based on mathematical models. We may better comprehend the world around us and make more precise predictions about what will happen in the future by applying mathematical procedures.
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if x/3 = y/9 then, 3/9 =
Answer:Y=6
Step-by-step explanation:
I will be using the substitution method:
x+y=9 y=x+3
X + (x + 3) = 9
2x + 3 = 9
*subtract 3 from both sides*
2x = 6
*divide by 2 on each side of the equal sign*
X = 3
find y:
y = 3 + 3
y = 6
check:
3 + 6 = 9
9 = 9 (correct)
The value of x is 3 and the value of y is 6
A health club charges a $50 initial fee plus $2 per visit. Brenda has spent a total of $144 at the health club this year. How many visits has she made?
if anyone can help me that would be great pleasee click image to see
1) The equation of a line passing through the point (5, 9) in point slope form is; (y - 9) = 3(x - 5)
2) The equation that is parallel and passing through (0, 4) is; y = ¹/₂x + 4
3) The equation of the line parallel to y - 7 = 7(x - 3) and passing through the point (4, 2) is; (y - 2) = 7(x - 4)
4) Thus, the equation of the line parallel to y = -7x - 2and passing through (-9, -12) is; y = -7x - 75
How to find the equation of a line in slope intercept form?The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
1) We are given the equation of a line as;
y = 3x + 5
where;
slope = 3
y-intercept = 5
Thus, the equation of a line passing through the point (5, 9) in point slope form is;
(y - y₁) = m(x - x₁)
Thus; (y - 9) = 3(x - 5)
2) Equation of a line is given as;
y = (1/2)x
Thus, the equation that is parallel and passing through (0, 4) is;
y - 4 = (1/2)(x - 0)
y - 4 = ¹/₂x
y = ¹/₂x + 4
3) We are given the equation;
y - 7 = 7(x - 3)
y - 7 = 7x - 21
y = 7x - 14
Thus, equation of the line passing through the point (4, 2) is;
(y - 2) = 7(x - 4)
4) We are given the equation;
y = -7x - 2
Thus, the equation of the line parallel and passing through (-9, -12) is;
y + 12 = -7(x + 9)
y = -7x - 63 - 12
y = -7x - 75
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