x+5273=5723
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The average number of enrollments per day at the Sunnyside Daycare is 21.

An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.

An average is the mean, which is one of the central tendency values.

Day          Number of Enrollments

Monday                 17

Tuesday                19

Wednesday         23

Thursday              14

Friday                  25

Saturday             28

Total =               126

Average enrollments = 21 (126/6)

Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.

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What was the average number of enrollments per day?

Both the domain and range of the transformed function are the same as those of the parent function.

What are Range and Domain?

The collection of all potential output values that a function can generate given its domain is known as its range.

The set of all potential input values for which a function is specified is referred to as its domain.

The function that results from translating the left 5 units and reflecting the function f(x) = |x| across the y-axis is g(x) = |-x + 5|.

Since any real number's absolute value is always non-negative, the original function's domain is all real numbers, or f(x) = |x|.

A function's domain remains unaffected when it is reflected across the y-axis. Since all real numbers fall within the domain of the modified function g(x) = |-x + 5|, this is also true.

Since each real number's absolute value is always non-negative, the original function's range is also all non-negative real numbers, f(x) = |x|.

A function's sign is reversed when it is reflected across the y-axis. Since all non-negative real numbers fall within this range, the transformed function g(x) = |-x + 5| also has this range as well

So, the correct statement about the domain and range of each function is: Both the domain and range of the transformed function are the same as those of the parent function.

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Answer:

i think 1

Step-by-step explanation:

plz brainliest I need it

uhm when you are sending a question, there will be a button that an attatchment (its name is 'add attachment') press on it and add your picture!

Answer:

25%.

Step-by-step explanation:

We create the equation \(450\times x = 315\) and rearrange for \(x= \frac{315}{450}=0.75\). Thus, the sale price is 75% of the original price, so the markdown was 25%.

Answer:

19.400

Step-by-step explanation:

19.400 equals out to 42769.67886386625

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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The number of yards of fabric required for making 7 identical elf costumes is 15 3/4 yards.

A mixed fraction is represented with the quotient and the remainder. So, the combination of a whole number and the proper fraction is called a mixed fraction.

Eg: 2 3/4 where 2 is the quotient and 3 is the remainder.

It is given that,

Mrs. Henderson used 6 3/4 yards of fabric to make 3 identical elf costumes.

Then, for making 1 costume, it requires

1 costume = 6 3/4 ÷ 3

⇒ 27/4 ÷ 3

⇒ 27/4 × 1/3

⇒ 9/4 yards

Thus, making 1 elf costume requires 9/4 yards.

Then, for making 7 identical elf costumes, it requires

7 identical elf costumes = 7 × 9/4 yards = 63/4 yards

The obtained value is expressed in the mixed fraction form as

63/4 yards = 15 3/4 yards.

Therefore, 15 3/4 yards of fabric are needed for 7 identical elf costumes.

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Answer:

A) Yes. At a significance level of 0.05, there is enough evidence to support the claim that the mean water temperature is significantly below 100 °F.

B) P-value = 0.001

C) The probability of not rejecting the null hypothesis at α = 0.05 if the true mean is 104 °F is P(M>98.9)=1. This means that is almost impossible to reject the null hypothesis μ≤100 given that the true mean is 104.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean water temperature is significantly below 100 °F.

Then, the null and alternative hypothesis are:

\(H_0: \mu=100\\\\H_a:\mu< 100\)

The significance level is 0.05.

The sample has a size n=9.

The sample mean is M=98.

The standard deviation of the population is known and has a value of σ=2.

We can calculate the standard error as:

\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{2}{\sqrt{9}}=0.667\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{M-\mu}{\sigma_M}=\dfrac{98-100}{0.667}=\dfrac{-2}{0.667}=-3\)

This test is a left-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=P(z<-3)=0.001\)

As the P-value (0.001) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the mean water temperature is significantly below 100 °F.

The critical value for this left-tailed test is zc=-1.645.

The null hypothesis would be accepted if the test statistic is higher than zc=-1.645. For a normal distribution with the parameters of the null hypothesis (μ=100, σ=2), this would correspond to a value of:

\(X=\mu+z\sigma/\sqrt{n}=100+(-1.645)\cdot 2/\sqrt{9}=100-1.1=98.9\)

This means that if we get a sample of size n=9 and mean bigger than 98.9, we will failed to reject the null hypothesis.

If the true mean is 104 °F, the probability of getting a sample mean over 98.9 for this sample size can be calculated as:

\(z=\dfrac{M-\mu}{\sigma/\sqrt{n}}=\dfrac{98.9-104}{2/\sqrt{9}}=\dfrac{-5.1}{0.6667}=-7.65\\\\\\P(M>98.9)=P(z>-7.65)=1\)

The probability of not rejecting the null hypothesis at α = 0.05 if the true mean is 104 °F is P(M>98.9)=1. This means that is almost impossible to reject the null hypothesis μ≤100 given that the true mean is 104.

Answer:

ok

Step-by-step explanation:

Answer:

b.x2(squared) +2x+4x+8

Answer:

C. X2 (squared) +6x +8

Step-by-step explanation:

I hope this helps

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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Okay, here we have this:

Considering the provided information, we are going to calculate how many pages does she read in 2 minutes, so we obtain the following:

1.5 minutes -> 1.25 pages

2 muntes -> x pages

Then, we have the following equation:

Finally we obtain that Sarah reads approximately 1.66 pages in 2 minutes.

Answer:

20 degrees

Step-by-step explanation:

90 degrees minus 70 degrees, because it is a 90 degree angle.

The number of triangles in the diagram that can be mapped to one another by similarity transformations include the following: D. 3.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent and similar triangles:

ΔABC

ΔDEF

ΔGHI

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Answer:

loyalty...........................

Answer:

I believe the answer is D. 3/7

The compound interest rate of the investment is 1.10%

The given parameters about the compound interest are

Principal, P = $11,000

Amount, A = $20,000

Time, t = 9

Number of times, n = 12 i.e. monthly interest

To calculate the amount, we have:

A = P(1 + R/n)^nt

Substitute the known values in the above equation, so, we have the following representation

20000 = 11000 * (1 + r/12)^(12 * 9)

This gives

1.82 = (1 + r/12)^108

Take the 108th root of both sides

1 + r/2 = 1.0055

Subtract 1 from both sides

r/2 = 0.0055

Multiply by 2

r = 0.011

Express as percentage

r = 1.10%

Hence, the value of the interest rate is 1.10%

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Answer:

6.66%

Step-by-step explanation:

Compounded Monthly:

�

=

�

(

1

+

�

�

)

�

�

A=P(1+

n

r

​

)

nt

Compound interest formula

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=

20000

�

=

11000

�

=

9

�

=

12

A=20000P=11000t=9n=12

Given values

20000

=

20000=

11000

(

1

+

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12

)

12

(

9

)

11000(1+

12

r

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12(9)

Plug in values

20000

=

20000=

11000

(

1

+

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12

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108

11000(1+

12

r

​

)

108

Multiply

20000

11000

=

11000

20000

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=

11000

(

1

+

�

12

)

108

11000

11000

11000(1+

12

r

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)

108

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Divide by 11000

1.8181818

=

1.8181818=

(

1

+

�

12

)

108

(1+

12

r

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)

108

(

1.8181818

)

1

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108

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1/108

=

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(

1

+

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12

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]

1

/

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[(1+

12

r

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1/108

Raise both sides to 1/108 power

1.0055509

=

1.0055509=

1

+

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r

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−

1

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Subtract 1

0.0055509

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r

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0.0055509

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=

12(0.0055509)=

(

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12

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Multiply by 12

0.0666108

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0.0666108=

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r

6.66108

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=

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Convert to percent (multiply by 100)

�

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6.66

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6.66%

Round to the nearest hundredth of a percent

Answer:

x = 10

Step-by-step explanation:

3x + 38 = 7x - 2

subtract 3x from both sides ogf the equation:

38 = 4x - 2

add 2 to each side:

40 = 4x

divide both sides by 4:

x = 10

The speed of the private jet is 659 miles per hour.

Speed is the ratio of distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent the speed of the jet and b represent the speed of the wind. The private jet can fly 2145​ miles in three​​ hours with a tailwind, hence:

(a + b)3 = 2145

a + b = 715  (1)

It can travel 1809​ miles in three​​ hours with a headwind, hence:

(a - b)3 = 1809

a - b = 603   (2)

From equation 1 and 2:

a = 659, b = 56

The speed of the private jet is 659 miles per hour.

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Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

The equation that represents the cost, c, of n sets is c = 63.74n

from the question, we have the following parameters that can be used in our computation:

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

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Answer:

The probability that one marble drawn at random is not blue is 70%

Based on the provided data sets, it can be observed that both Data Set K and Data Set L have identical values. Therefore, their centers and spreads are also identical.

The center of a data set can be measured using various statistical measures such as the mean, median, or mode. Since the data sets have the same values, all these measures will yield the same result for both sets.

In this case, the center of Data Set K is equal to the center of Data Set L.

Similarly, the spread of a data set refers to the measure of variability or dispersion within the data. Common measures of spread include the range, variance, and standard deviation.

However, since the data sets are exactly the same, all these measures will yield identical results for both sets. Thus, the spread of Data Set K is the same as the spread of Data Set L.

In summary, both the center and the spread of Data Set K are the same as those of Data Set L. Therefore, there is no difference between the two data sets in terms of their central tendency or variability.

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ANSWER :

(-3, 2)

EXPLANATION :

Note that the coordinates when reflecting an image across the y-axis will be :

The sign of the x coordinate will change.

From the problem, the coordinates of B is (3, 2)

The coordinates of it after reflecting across the y-axis will be :

The answer is (-3, 2)

The range of the given equation is [-1, infinity).

We are given that;

Equation  y= underroot(x+5​)

Now,

The domain of this equation is the set of x values that make the expression under the square root non-negative.

That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).

The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.

Therefore, by the range the answer will be [-1, infinity).

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Explanation

We can infer that the Literary Digest poll was wrong because it was biased.

We are told that the poll used lists of telephone and automobile owners to select their sample which doesn't give a full representation of all those who will vote in the election.

So we can infer that the problem with the Literary Digest poll is that it was Biased

Answer:

$246

Step-by-step explanation:

Answer:

y = 10x + 5

Step-by-step explanation:

Remember when x = 0 that is when you get your y-intercept. So when you look at the chart you  can see that your answer has to have a +5 so now you are  down to only to answers.

Now slope is the change of Y over the change of X , so 5 to 55 is 50

and 0 to 5 is 5

\(\frac{y}{x}\)=\(\frac{50}{5}\) and that equals 10

put both parts together and

y = 10x + 5