ABCD is a parallelogram with diagonal AC. If the measure of angle CAB is 24° and the measure of angle ADC is 127°, what is the measure of angle DAC?

A simple difference is also called a marginal means difference. Option B

In experimental design and statistical analysis, a simple difference refers to the comparison of means between two groups or conditions. It represents the difference in average scores or values between the groups being compared. It is often used to assess the impact of an independent variable on a dependent variable by examining the variation in means between different levels of the independent variable.

The term "marginal means difference" emphasizes that the comparison is based on the average or marginal means of the groups being compared. It helps to distinguish it from other types of differences, such as interaction effects or main effects, which involve more complex comparisons or analyses in factorial designs.

Overall, a simple difference or marginal means difference is a straightforward way to evaluate the effect of an independent variable on a dependent variable by comparing the average values between different groups or conditions.

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Answer:

The solution is 24

Step-by-step explanation:

3/4 = n/32

3(32) = 4n

96 = 4n

4n = 96

n = 96/4

n = 24

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer: 15 DVDs

Step-by-step explanation:

C = 2D + 11

41 = 2D + 11

2D = 30

D = 15 DVDs

Answer:

There are 2 terms in the given expression.

Step-by-step explanation:

A term is a simple math expression.

In the expression given, there are two terms: '7h' and '3'.

'7h' - '3​'

Hope this helps.

Answer:

all work pictured and shown

When given a function’s graph, we can vertically stretch it by pulling the curve outwards based on the given scale factor.

To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ). Here are the graphs of y = f (x), y = 2f (x), and y = x.

Note that if (x, y1) is a point on the graph of f (x), (x, y2) is a point on the graph of 2f (x), and (x, y3) is a point on the graph of f (x), then y2 = 2y1 and y3 = y1.

For example, (3, 2) is on the graph of f (x), (3, 4) is on the graph of 2f (x), and (3, 1) is on the graph of f (x).

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AnsweStep-by-step explanation:

9134

Answer:

I think Teresa needs 6 tablespoons of butter..

Step-by-step explanation:

Hope this right...but if it's not,im so sorry

The ratio of the volume of the cylindrical tank to its surface area will be r / 2.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Let r be the radius and h be the height of the cylinder.

Then the volume of the cylinder will be

V = π r²h cubic units

Then the surface area of the cylinder will be

SA = 2πrh square units

Then the ratio of the volume of the cylindrical tank to its surface area will be

V / SA = π r²h / 2πrh

V / SA = r / 2

The ratio of the volume of the cylindrical tank to its surface area will be r / 2.

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The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .

Here's how to solve for the average rate of return:

Total income = $382,000

Residual value = $69,000

Total cost = $695,000

Total profit = Total income + Residual value - Total cost

Total profit = $382,000 + $69,000 - $695,000

Total profit = -$244,000

The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.

Average rate of return = Total profit / Total investment x 100

Average rate of return = -$244,000 / $695,000 x 100

Average rate of return = -0.3518 x 100

Average rate of return = -35.18%

Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.

Average rate of return = Absolute value of (-35.18%)

Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.

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The given statement "without the Central Limit Theorem we really couldn’t do much of what we try to do with statistics." is true. Because The CLT plays a critical role in many statistical analyses and has contributed significantly to the advancement of the field of statistics. This theorem plays a critical role in many statistical analyses and is often used to make important decisions in fields such as finance, medicine, and engineering.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that enables us to make inferences about a population based on a sample of data. The theorem states that, regardless of the underlying distribution of the population, the sampling distribution of the mean approaches a normal distribution as the sample size increases.

One could argue that without the CLT, many statistical techniques that we use today would not be possible. For instance, in hypothesis testing, the CLT is used to calculate the probability of obtaining a certain sample mean or proportion, given a null hypothesis about the population parameter.

Without the CLT, it would be difficult to calculate this probability accurately and would lead to unreliable results. The CLT allows us to assume that the sampling distribution of the mean is approximately normal, which enables us to construct these intervals.

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

The probability that the weight will be less than 4504 grams is 0.9713.

We need to standardize the value 4504 using the given mean and variance, and then use the standard normal distribution table to find the corresponding probability.

The standard deviation is the square root of the variance: √391876≈626.05

So, the z-score for a weight of 4504 grams is:

z=(4504−3315)/626.05≈1.8974

Using a standard normal distribution table, we find that the probability of a z-score being less than 1.8974 is approximately 0.9713.

Therefore, the probability that a newborn baby boy born at the local hospital will weigh less than 4504 grams is approximately 0.9713.

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According to the question The score on the last paper would need to be 96 in order to raise the class average by 1 point.

To solve this problem, we can use the concept of the class average. The current class average is 67, which is the average of the 28 graded papers.

To raise the class average by 1 point, we need to find the score on the last paper that would contribute to this increase.

Let's assume the score on the last paper is x.

To raise the average by 1 point, the total sum of the scores for all 29 papers would need to increase by \(1 * 29 = 29\) points.

The current sum of the scores for the 28 graded papers is \(28 * 67 = 1876.\)

To raise the sum by 29 points, we have the equation:

\(1876 + x = (29 * 68)\)

Simplifying this equation, we get:

\(\[ 1876 + x = 1972 \]\)

Subtracting 1876 from both sides, we have:

\(\[ x = 1972 - 1876 \] \\\\\ x = 96 \]\)

Therefore, the score on the last paper would need to be 96 in order to raise the class average by 1 point.

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Answer:

30 boxes of cereal

Step-by-step explanation:

Divide 120 boxes equally among 4 shelves. 120/4 = 30

Answer:

27.5 = CE

Step-by-step explanation:

The two triangles should be similar to each other, so we can set up a ratio of 15:6. This gives us a final ratio of 2.5:1 Multiply EA = 11 by 2.5 to find its corresponding side measure

11*2.5 = 27.5

Answer:

Your correct answer is 169.65 square units.

Step-by-step explanation:

Since the radius of the cylinder is 3, and the height of it is 6, you get a total of 169.65 square units.

Here is proof that I am correct:

Answer:

54 pi

Step-by-step explanation:

khan

Answer:

25000 is the amount of gophers there are at the beginning

1.95 is the amount they increase each year (95 percent).

Step-by-step explanation:

don't need one

Answer:

0.5 minutes

Step-by-step explanation:

Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.

h = 32−14m

25 = 32−14m ... subtract both sides by 32

-7 = -14m ... divide both sides by -14

0.5 = m

Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.

Answer:

$19.60

Step-by-step explanation:

245 is 100% of the total.

x is 108% of the total.

245/100 = x/108

245(108) = 26460

26460/100 = 264.6

264.6 - 245 = 19.6

A n s w e r :

$ 1 9 . 6 0

E x p l a n a t i o n

T a k e   t h e   a m o u n t   a n d   m u l t i p l y   b y   t h e   t a x   r a t e   t o  

d e t e r m i n e   t h e   s a l e s   t a x

t a x = 2 4 5 * 8 %

C h a n g e   t o   d e c i m a l   f o r m

t a x = 2 4 5 * . 0 8

= 1 9 . 6 0

The probability l(n) that 16 trout are marked in a sample of 80 is given by l(n) = (n - 16 choose 64)/(n choose 80)

Suppose the lake contains n trout. The probability l(n) that 16 trout are marked in a sample of 80 can be determined using the hypergeometric distribution. This distribution is used when sampling without replacement in situations where the sample size is less than the population size.

In this case, we have a population of n trout in the lake. Of these, 16 trout are marked, and we want to determine the probability that we obtain 16 marked trout in a sample of 80. This means that we will be sampling without replacement from the population of n trout, and we want to know the probability that 16 of the 80 trout we sample are marked. The hypergeometric distribution is given by:

P(X = k) = (M choose k)(N - M choose n - k)/(N choose n)

where M is the number of marked trout, N is the total number of trout in the lake, n is the sample size, and k is the number of marked trout in the sample.

In this case, we have M = 16, N = n, n = 80, and k = 16.

Substituting these values into the formula, we get:

P(X = 16) = (16 choose 16)(n - 16 choose 80 - 16)/(n choose 80)

Simplifying this expression, we get:

P(X = 16) = (16 choose 16)(n - 16 choose 64)/(n choose 80)

P(X = 16) = (n - 16 choose 64)/(n choose 80)

Therefore, the probability l(n) that 16 trout are marked in a sample of 80 is given by

l(n) = (n - 16 choose 64)/(n choose 80)

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Answer:  Choice C

Closed filled in circle at -3; shading to the right.

========================================================

Explanation:

Follow the steps shown below to isolate x. Note that the inequality sign flips when we divide both sides by a negative number.

\(-4x+8 \le 20\\\\-4x \le 20-8\\\\-4x \le 12\\\\x \ge 12/(-4)\\\\x \ge -3\\\\\)

Here's another way to isolate x

\(-4x+8 \le 20\\\\8 \le 20+4x\\\\4x+20 \ge 8\\\\4x \ge 8-20\\\\4x \ge -12\\\\x \ge -12/4\\\\x \ge -3\\\\\)

The inequality sign flip happens much earlier when we go from the format of \(A \le B\) to \(B \ge A\)  (in step 3)

The graph of this will have a closed filled in circle at -3, then shading to the right to describe all values -3 or larger.

This is why we go for choice C.

The angular acceleration of the system times the system's radius, which is 40 cm, or 0.4 m, gives rise to the tangential acceleration at the system's farthest edge at time t = 0.5 s. Thus, 0.4 m/s2 is the tangential acceleration.

The radius of the system multiplied by the system's angular acceleration gives the tangential acceleration of a point at its furthest edge. The system's radius in this instance is 40 cm, or 0.4 metres, and the time is 0.5 seconds. As a result, the tangential acceleration at time t = 0.5 s is equal to the system's angular acceleration times its radius, which is 0.4 m. We multiply the angular acceleration by the system's radius, which is 0.4 m, to determine the tangential acceleration. Thus, 0.4 m/s2 is the tangential acceleration at time t = 0.5 s. This indicates that a point on the system's outermost edge accelerates by 0.4.

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Answer:

y is the height and x is the length

Step-by-step explanation:

Remember when you're doing y and x axis y is height and x is length it works like coordinates.

Answer:

ok so differnce of 2 perfect ssquares are

x^2-y^2=(x-y)(x+y)

we are given

one factor is 5x-8

remember that all you do is square both terms individually to get them

(5x)^2=25x^2

8^2=64

they are difference so

25x^2-64 is answer

The given problem is asking for a test to see if the sample mean is significantly different from 85 at the 0.05 level. To solve the problem, we can use the following formula:$$t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}$$where$\bar{x}$ = sample mean$\mu$ = population mean$s$ = sample standard deviation$n

$ = sample sizeTo calculate the t-value, we need to calculate the sample mean and the sample standard deviation. The sample mean is calculated as follows:$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$where $x_i$ is the score of the $i$th student and $n$ is the sample size.

Using the given data, we get:$$\bar

{x} = \frac{78+89+67+85+90+83+81+79}{8}

= 81.125$$The sample standard deviation is calculated as follows:$$

s = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}$$Using the given data, we get:$$

s = \sqrt{\frac{(78-81.125)^2+(89-81.125)^2+(67-81.125)^2+(85-81.125)^2+(90-81.125)^2+(83-81.125)^2+(81-81.125)^2+(79-81.125)^2}{8-1}}

= 7.791$$Now we can calculate the t-value as follows:$$

t = \frac{\bar{x} - \mu}{\frac{s}

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