To maintain the same child-to-adult ratio, the number of adult needed for 108 children are 18.
Explain the term ratio of the number?The amounts (numbers) m as well as n are referred to as the ratio's terms in the ratio m: n. Both the first term (i.e., m) and also the second term (i.e., is n) are referred to as antecedent and consequent, respectively.As the stated question-
At the preschool, there's many 36 children and 6 adults.
Thus, this is solved by using unitary method.
36 children -----> 6 adults.
1 children -----> 6/36 adults.
For 108 children, multiply both sides by 108.
108 children -----> 6 x 108/36 adults.
108 children -----> 18 adults.
Thus, to maintain the same child-to-adult ratio, the number of adult needed for 108 children are 18.
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A new crew of painters takes two times as long to paint a small apartment as an experienced crew. Together, both crews can paint the apartment in 4 hours. How many hours does it take the new crew to paint the apartment?
It takes hours for the new crew to paint the apartment.
It will take the new crew 8 hours to paint the new apartment.
what is inverse proportion?Two quantities are said to be in inverse proportion if an increase in one leads to a decrease in the other quantity and a decrease in one leads to an increase in the other quantity". In other words, if the product of both the quantities, irrespective of a change in their values, is equal to a constant value, then they are said to be in inverse proportion.
if it takes both crews 4 hours to paint the crew and both crew worked at same rate.
Then it will take the new crew 4 x 2 hours to complete the apartment which is 8 hours.
In conclusion, the new crew will complete the apartment in 8 hours
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which of the following calculations is not derived from the confidence interval? question content area bottom part 1 choose the correct answer below. a. difference between the limits, 2e b. the population mean, c. the margin of error, e d. the point es
Among the following, the population mean u = (upper confidence limit) + (lower confidence limit) is not derived from the confidence interval.
A confidence interval is defined as the range of values that we observe in our samples and for which we expect to find the value that accurately reflects the population.
In frequentist statistic, a confidence interval is a range of estimates for an unknown parameter.
To find a confidence level for a data set by taking half of the size of the confidence interval, multiplying it by the square root of the sample size and then dividing by the sample standard deviation.
Confidence level refers to the percentage of probability,or certainty, that the confidence interval would contain the true population parameter when you draw a random sample many times. The most common confidence levels are 90%, 95% and 99%.
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a grocery store manager computes the average amount of money spent on produce per visit, this is an example of what kind of data?
This is an example of discrete data because this data cannot be broken into decimals.
26/5 as a mixed number
Answer:
5 1/5
Step-by-step explanation:
you set up the fraction in the division bracket with the denominator staying the same in the final answer. The denominator will go on the inside, and the 5 on the outside.
5 1/5 :)))))))))))))))))))))))))))))))))))))))))))
"write the equation in fully simplfied slope - intercept form" Can someone provide a step by step answer pls.
Step-by-step explanation:
y=Mx+b
M- slope
B- y intercept
1. find slope by choosing 2 point(any 2)
Once you’ve picked 2 point- (X1, y1) (x2, y2) set up the equation to calculate slope
y2-y1 / x2-x1 = m
2. Solve for b
Take any point and plug in the x and y value
Plug in y= (the slope you solved for)(x intercept) + b
3. then write the equation
Y= (slope)x + b
A large university, except 70% of the students to apply. All the students at the university acceptance, 30% actually enroll. If 10,000 series apply, how many actually enroll?
The amount that actually enrol is 3000
How to determine the amount that actually enrol?From the question, we have the following parameters that can be used in our computation:
Expected enrolment = 70%
Actual enrolment = 30%
Number of applicants = 10000
This means that
Actual = Actual enrolment * Number of applicants
Substitute the known values in the above equation, so, we have the following representation
Actual = 30% * 10000
Evaluate
Actual = 3000
Hence, the amount is 3000
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Solve the equation 1 - (-x + 3) =10
▸
These figures are similar. The perimeter and
area of one are given. The area of the other
is also given. Find its perimeter and round
to the nearest tenth.
Perimeter = 21.3 m
Area = 16 m²
Perimeter [? ]m
Area = 25 m²
Enter
Check the picture below.
bearing in mind that the ratio of the sides of similar figures is the same as the ratio of their perimeters
[tex]\stackrel{\textit{\Large perimeters}}{21.3\hspace{5em}p}\hspace{5em}\stackrel{\textit{\Large areas}}{16\hspace{5em}25} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(21.3)^2}{(p)^2}~~ = ~~\cfrac{16}{25}\implies \left( \cfrac{21.3}{p} \right)^2=\cfrac{16}{25}\implies \cfrac{21.3}{p}=\sqrt{\cfrac{16}{25}}\implies \cfrac{21.3}{p}=\cfrac{\sqrt{16}}{\sqrt{25}} \\\\\\ \cfrac{21.3}{p}=\cfrac{4}{5}\implies 106.5=4p\implies \cfrac{106.5}{4}=p\implies {\Large \begin{array}{llll} 26.625=p \end{array}}[/tex]
after collecting the data, douglas finds that the finishing times for cyclists in a race is normally distributed with mean (μ) 149 minutes and standard deviation (σ) 16 minutes. what is the probability that a randomly selected race participant had a finishing time of less than 165 minutes? use the empirical rule provide the final answer as a percent.
Probability which is randomly selected race participants with finishing time less than 165 minutes is equal to 0.84.
As given in the question,
Mean 'μ' = 149 minutes
Standard deviation 'σ' = 16 minutes
Probability of randomly selected race for finishing time less than 165 minutes
⇒ P( X < 165 ) = P [(X - μ)/σ < (165 -149)/16]
= P [(X - μ)/σ < 1]
= P ( z < 1 )
Probability is associated with 1,2,3 standard deviation of 68%, 95% and 99.7%
Empirical rule = 68 - 95 - 99.7
P ( z < 1 ) = 0.5 + 0.68/2
= 0.5 + 0.34
= 0.84
Therefore, the probability for randomly selected participants whose finishing time is less than 165 minutes is 0.84.
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Answer:
Step-by-step explanation:
84% is the answer for Knewton Alta Stats
At a lunch counter, 1/3 liter of soup is served with each sandwich and soup combo. The cook made 16 liters of soup to serve with sandwiches as part of the combo.
How many sandwich and soup combos can be served?
The sandwich and soup combos that can be served is 48.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, 1/3 liter of soup is served with each sandwich and soup combo.
Since the cook made 16 liters of soup to serve with sandwiches as part of the combo. The sandwich and soup combination will be:
= 16 ÷ 1/3.
= 16 × 3
= 48
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A child stands on a bathroom scale while riding in an elevator. The child's weight when the elevator is not moving is 100 Ibs. What does the scale read when the elevator accelerates upward while travelling downward?
The scale reads more than 100 pounds of force when the elevator speeds upward while moving downward.
Explain the term gravitational force?The gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force.However, all mass-bearing objects are pulled toward one another by gravity.Gravity pulls downward while the lift is not in motion, as shown by the reading on the scale of;
F = m g
F = 100 lbs force.
When the lift begins to rise quickly, the child's normal response force increases by (ma)
Net weight on the scale becomes;
F = m g + m .
Scale will thus display weight that is larger than 100 lbs. force.
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a grocery store company wanted to know how well some of their local stores were doing. in order to find out, they hired 6 different reviewers to rate 15 local stores. what are the degrees of freedom?
The degrees of freedom here is 5.
Given,
A grocery store company wanted to know how well some of their local stores were doing.
The number of sample reviewers they hired to rate 15 local stores = 6
We have to find the degrees of freedom;
Degrees of freedom;-
The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the number of items in the data sample.
Here,
Degrees of freedom = n - 1
n = 6
Then,
Degrees of freedom = 6 - 1 = 5
That is,
5 is the degrees of freedom in this case.
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You deposit $200 in an account that earns simple interest at an annual rate of 3%. How much money is in the account after 3 years?
The account balance after 3 years will be $218.
What is simple interest?The crediting of cash flows connected with an investment or deposit is referred to as "simple" interest.
Given that you deposit $200 in an account that earns simple interest at an annual rate of 3%.
The formula to calculate the simple interest is given below,
SI = ( P x R x T ) / 100
SI = ( 200 x 3 x 3 ) / 100
SI = 2 x 3 x 3
SI = $18
Total account balance = 200 + 18 = $218
Therefore, the account balance after 3 years will be $218.
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the weights of salmon grown at a commercial hatchery are nor- mally distributed with a standard deviation of 1.2 pounds. the hatchery claims that the mean weight of this year’s crop is at least 7.6 pounds. sup- pose a random sample of 16 fish yields an average weight of 7.2 pounds. is this strong enough evidence to reject the hatchery’s claims at the 5 percent level of significance? how about 1 percent level of significance? what is the p-value?
Since pp-value is greater than all considerable significance levels (alpha = 0.05, 0.01α=0.05,0.01), we fail to reject the null hypothesis. In order words, we do not have enough evidence to disapprove hatchery's claims.
What is hypothesis?A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis). A straightforward hypothesis is a claim that expresses the relationship between precisely two variables. a dependent and a single independent. Take the statement "Smoking is a significant cause of lung cancer" as an example. Smoking is an independent variable that influences the dependent variable, lung cancer.
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in order to fairly set flat rates for auto mechanics, a shop foreman needs to estimate the average time it takes to replace a fuel pump in a car. how large a sample must he select if he wants to be 99% confident that the true average time is within 15 minutes of the sample average? assume the standard deviation of all times is 30 minutes.
The value of n is 25 according to standard deviation in the question.
What is standard deviation?
Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.
Main body:
s = 30 minutes
C.I. = 99%
mean = 15 minutes
z value for 99% = 2.58
mean = z*s/√n
15 = 2.58 * 30 / √n
√n = 5.06
n = 25
Hence the value of n is 25 .
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g in a class of 30 children, 20 take latin, 14 take greek, and 10 take hebrew. if no child takes all three languages and eight children take no language, how many children take greek and hebrew?
The number of children take greek and hebrew = 2
In this question, we have been given that in a class of 30 children, 20 take latin, 14 take greek, and 10 take hebrew.
So, n(s) = 30
Let set a: children taking Latin language
n(a) = 20
set b: children taking Greek language
n(b) = 14
set C: children taking Hebrew language
n(c) = 10
no child takes all three languages
⇒ n(a ∩ b ∩ c) = 0
And eight children take no language
⇒ n(S) - n(a ∪ b ∪ c) = 8
So, n(a ∪ b ∪ c) = 8
This means, 22 children taking languages.
Of those 22 kids, 14 take Greek and 10 take Hebrew.
14+10 = 24
This means, at least 2 children must taking Greek and Hebrew.
Since no child takes all three languages, the children taking Greek and Hebrew can't be taking Latin. Since 20 of the 22 kids are taking Latin, that means at most 2 are taking Greek and Hebrew.
Therefore, 2 children take greek and hebrew
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a bank pay is 7% interest on 3 years certificates of deposit what is the value of a $500 certificate after one year give your answer to the nearest cent
The value of a $500 certificate after one year is $525.
question what is the hundredths digit of the decimal z ? (1) the tenths digit of 100z is 2. (2) the units digit of 1,000z is 2.
We can infer that those assertions do not provide us with adequate details on the hundredths in the decimal system.
What do we mean by a decimal?The decimal numeral system is widely used to express both integer and non-integer numbers.
The Hindu-Arabic number system has been expanded to include non-integer values.
The way of representing numbers in the decimal system is known as decimal notation.
(1) Since 2 is the eleventh digit of 100z, we may begin writing 100z.
10z = 100(a.bcd)
The decimal point is moved two places to the right by multiplying by 100, giving us the value of:
10z = 100abc.d
Then we shall have d = 2 if the tenths of 100z equal 2.
We have so far: z = a.bc2
(2) Since 1000z's units digit is 2, we may begin writing 1000z.
1000z = 1000a.bc2
We need to move the decimal point three places to the right so that we have order to multiply by 1000:
1000z = abc2
As a result, we can now confirm that the unit digit is actually 2.
However, the number is as follows: z = a.bc2
Therefore, we can infer that those assertions do not provide us with adequate details on the hundredths in the decimal system.
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Q(t)=4000(4)t^3
. Write an equivalent function of the form Q(t)=ab^t.Q(t)=abt
The equivalent form of the function is [tex]Q(t)=4000(64)^t[/tex]
How to determine the equivalent form of the function?The equation of the function, according to the question is given as
Q(t)=4000(4)3t
This equation can be properly rewritten as
Q(t)=4000(4)³⁺
Express 4 as a radical expression
So, we have the following representation
Q(t)=4000(4³)⁺
Evaluate the exponent in the above expression
Q(t)=4000(64)⁺
The above expression cannot be further simplified
Hence, the solution to the exponential expression is Q(t)=4000(64)⁺
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Complete question
Q(t)=4000(4)3t.
Write an equivalent function of the form Q(t)=ab^t.
Find the sum of the interior angles of a 22-sided polygon.
Group of answer choices
1,980°
2,160°
3,360°
3,600°
Answer:
3600°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 22 , then
sum = 180° (22 - 2) = 180° × 20 = 3600°
Answer:
3360°
Step-by-step explanation:
180n-360= sum of interior angles
Please help with this question
Blank 1: Corresponding because All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.
Blank 2:
Blank 3: x= 46 as 180-134 = 46
Find the missing value in each row. Use the percent equation. Principal (P) $100 $500 $200 :1 1. Interest Rate (r) 5% 4% 10% Time in Interest years (1) years (1) Earned (1) 3 7 2 $20 $35 $6
The missing values are as shown below:
A.) 15
B.) 1 year
C.) $50
D.) 1.5%
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The percentage equation goes thus:
Interest earned = principal * rate * time
A)
Principal: $100 Interest rate: 5% Time in years: 3 Interest earned
Interest earned = $100 * 0.05 * 3
Interest earned = $15
B.)
Principa;" $500 Interest rate: 4% Time in years: interest earned: $20
Interest earned = principal * rate * time
20 = 500 * 0.04 * time
20 = 20 * time
Time = 20 / 20 = 1
Time = 1 year
C.)
Principal: Interest rate:10% Time in years: 7 Interest earned:$35
Interest earned = principal * rate * time
$35 = principal * 0.1 * 7
$35 = principal * 0.7
Principal = $35 / 0.7
Principal = $50
D.)
Principal: $200 Interest rate: Time in years:2 Interest earned: $6
Interest earned = principal * rate * time
$6 = $200 * rate * 2
$6 = $400 * rate
Rate = $6/$400
Rate = 0.015 = 1.5%
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an important problem in industry is shipment damage. a windshield factory ships its product by truck and determines that it cannot meet its profit expectations if, on average, the number of damaged items per truckload is greater than 12. a random sample of 12 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.64. select a 99% confidence interval for the true mean of damaged items.
99% confidence interval would be (10.78,11.82) for the true mean of the damaged items.
What is meant by Variance?Variability is measured by the variance. It is determined by averaging the squared deviations from the mean.
The degree of dispersion in your random sample collection is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.
You may determine the average distance between each number and the mean using the standard deviation, which is obtained from variance. It is the variance's square root.
Both metrics capture distributional variability, although they use different measurement units:
Standard deviation is represented in the same units as the initial values (e.g., meters).
Larger units are used to express variation.
How to solve?
n = 12
Average = 11.3
Variance = 0.49
Standard deviation = √0.49=0.7
so, we need to find 99% confidence interval.
At 99% confidence , z = 2.58
So, interval would be
x±z* σ/√n = 11.3 ±2.58* 0.7/√12
=11.3±0.521
=(11.3 - 0.521,11.3 +0.521
= (10.78, 11.82)
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Marcus and his friend james go to a festival marcus buys one game of miniature golf and 3 ride bracelets for a total of $26 james buys one game of miniature golf and 5 ride bracelets for a total of $38 write a system of equations that models the situation and find the price of the miniature golf game and the price of a ride bracelet
The system of equations that models the situation are:
g + 3b = $26
g + 5b = $38
The price of one miniature golf game is $8 and the price of one bracelet price is $6
What is the price of the miniature golf game and the price of one ride bracelet?g + 3b = $26 equation 1
g + 5b = $38 equation 2
Where:
g = price of one miniature golf game b = price of one braceletThe elimination method would be used to solve the equations.
in order to determine the value of b, subtract equation 1 from equation 2
2b = 12
Divide both sides of the equation by 2
b = 12 /2
b = 6
In order to determine the value of g, substitute for b in equation 1:
g + 3(6) = $26
g + 18 = $26
g = $26 - $18
g = $8
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convert 37 base ten to base five
[tex]-3\sqrt{12} + 2\sqrt{3} +3\sqrt{6}[/tex]
Can you help me too???????
A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (2, 5) and the stadium in Columbus is at point (8, 13). The map shows a highway rest stop halfway between the cities. What is the distance between the high school and the stadium? (One unit = 8.6 miles.)
To find the distance between the high school and the stadium, we need to use the distance formula. The distance formula is given by the following equation:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) is the coordinates of the starting point, and (x2, y2) is the coordinates of the ending point.
In this case, the starting point is the high school, which is located at the coordinates (2, 5), and the ending point is the stadium in Columbus, which is located at the coordinates (8, 13). Plugging these values into the distance formula, we get:
d = sqrt((8 - 2)^2 + (13 - 5)^2)
d = sqrt(6^2 + 8^2)
d = sqrt(36 + 64)
d = sqrt(100)
d = 10
Therefore, the distance between the high school and the stadium is 10 units. Since 1 unit is equal to 8.6 miles, the distance between the high school and the stadium is 86 miles.
It's worth noting that the rest stop is located halfway between the high school and the stadium. This means that the distance from the high school to the rest stop is 86/2 = 43 miles, and the distance from the rest stop to the stadium is also 43 miles. This can be verified by using the distance formula to find the distance between the rest stop and the high school, and then between the rest stop and the stadium.
(Solving Equations Using Square and Cube Roots LC)
Solve z3 = 8.
The value of z after solving the equation z³ = 8 is 2.
Define cube root.The result of a number (x) being multiplied three times is referred to as the cube of that number. The phrase "cube root" in mathematics means "the number that needs to be multiplied three times in order to acquire the original number." Let's now examine the cube root formula, in which y is equal to the cube root of x. ∛x = y. Any integer can be represented as the cube root by the radical sign ∛, which has a little 3 written on the top left of the sign. Writing 1/3 as a number's exponent is another method to represent a cube root.
The given equation
z³ = 8
The number 8 can be written as
8 = 2 × 2 × 2
= 2³
So,
z³ = 2³
So, comparing both sides, we get
z = 2
This is the solution to the equation.
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if integer polynomials p and q satisfy p(x)/q(x) is an integer for infinitely many integer inputs x, does it follow that q(x) divides p(x)?
The condition that p(x)/q(x) is an integer for any number of inputs of integers x is satisfied by the integer polynomials p and q. It's not necessary for q(x) to split p(x).
What are integer polynomials?In mathematics, a polynomial with integer values (also called a numerical polynomial) has an integer value for each integer n.
Contrary to popular belief, every polynomial with integer coefficients has integer values.
For instance, when t is an integer, the polynomial takes on integer values.
So, polynomials are the sums of terms of the form kˣⁿ, where k is any number and n is a positive integer.
A description of polynomials, such as the polynomial 3x+2x-5.
The concepts of degree, standard form, monomial, binomial, and trinomial are all covered in this section.
Therefore, the condition that p(x)/q(x) is an integer for any number of inputs of integers x is satisfied by the integer polynomials p and q. It's not necessary for q(x) to split p(x).
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A researcher wants to test the hypothesis that on average girls perform better on standardized tests than boys. Since it is true that some boys do better than girls and some girls do better than boys, the researcher must use a two tailed test.
True OR False
The statement of the given hypothesis is False.
What is hypothesis testing?
Hypothesis testing is a statistical analysis that looks at a sample to see if the findings are representative of the population. Depending on the type of data used and the goal of the research, the analyst will choose a certain approach.
Given: A researcher wants to test the hypothesis that on average girls perform better on standardized tests than boys.
">" sign implies that right-tailed test i.e., one-tailed right-sided.
Hence, the given statement is False.
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