The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on the test range from 0 to 500. Demonstrating the ability to use the mean to solve a problem is an example of the skills and knowledge associated with performance at the Basic level. An example of the knowledge and skills associated with the Proficient level is being able to read and interpret a stem‑and‑leaf plot.

In 2019, 147,400 eighth‑graders were in the NAEP sample for the mathematics test. The mean mathematics score was Xbar=282. We want to estimate the mean score in the population of all eighth‑graders. Consider the NAEP sample as an SRS from a Normal population with standard deviation =40.

If we take many samples, the sample mean Xbar varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score in the population. What is the standard deviation of this sampling distribution?

Give your answer to four decimal places.

Answer:

6,690 boxes per hour

Step-by-step explanation:

Given:

Number of boxes fill = 6,021

Time is taken = 0.9 hour

Find:

Number of boxes fill per hour

Computation:

Number of boxes fill per hour = Number of boxes fill (1 hour / Time taken)

Number of boxes fill per hour = 6,021 (1 hour / 0.9 hour)

Number of boxes fill per hour = 6,690

Answer: four units left and 1 unit up

Step-by-step explanation:

because negative is at the bottom

Answer:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Now we know that point D, which we can write as (x, y), is at a distance of 8 units from the origin.

Where the origin is written as (0, 0)

We also know that point D is 6 units away along the y-axis.

Then point D could be:

(x, 6)

or

(x, -6)

Now, let's find the x-value for each case, we need to solve:

\(8 = \sqrt{(x - 0)^2 + (\pm6 - 0)^2}\)

notice that because we have an even power, we will get the same value of x, regardless of which y value we choose.

\(8 = \sqrt{x^2 + 36} \\\\8^2 = x^2 + 36\\64 - 36 = x^2\\28 = x^2\\\pm\sqrt{28} = x\\\pm 5.29 = x\)

So we have two possible values of x.

x = 5.29

and

x = -5.29

Then the points that are at a distance of 8 units from the origin, and that are 6 units away along the y-axis are:

(5.29, 6)

(5.29, -6)

(-5.29, 6)

(-5.29, -6)

\(~~~~~~ \textit{Compound Interest Earned Amount}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount deposited}\dotfill &\$5000\\r=rate\to 1.25\%\to \frac{1.25}{100}\dotfill &0.0125\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{yearly, thus once}\end{array}\dotfill &1\\t=years\dotfill &10\end{cases}\\\\\\A=5000\left(1+\frac{0.0125}{1}\right)^{1\cdot 10}\implies A=5000(1.0125)^{10}\implies A\approx 5661.35\)

Answer:

x+6=y

Step-by-step explanation:

Since the coordinates of the translated triangle are (3,5), (5, 6), and (2, 9), the translation vector is (x, y)   → (x + 2, y + 1).

In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

By translating the pre-image of this triangle vertically upward by 1 unit and horizontally right by 2 units, the coordinates of the image include the following:

(x, y)                               →                  (x + 2, y + 1)

(1, 4)                        →                  (1 + 2, 4 + 1) = (3, 5).

(3, 5)                        →                  (3 + 2, 5 + 1) = (5, 6).

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The correct two - way frequency table for the data on High School Students, and the kind of band they want to play at the school dance, is:

                                                     Rap          Rock           Country      Total

Grades 9 - 10                                40              30                55              125

Grades 11 - 12                                60              25                35              120

Total                                              100              55                90             245

Option A is therefore correct.

In a two-way frequency table, there will be totals for both the rows and the columns.

The totals for the rows in this instance are:

Grade 9 - 10 totals :

= 40 + 30 + 55

= 125

Grade 11 - 12 :

= 60 + 25 + 35

= 120

The totals for the columns are:

Rap totals :

= 40 + 60

= 100

Rock :

= 30 + 25

= 55

Country :
= 55 + 35

= 90

Two-way frequency tables allow for us to be able to conclude on the event described by looking at totals from both the columns and the rows. This gives a clearly understanding on preferences and categories.

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They will meet after 13.2 minutes and Emilio has walked 0.98 miles when Lynda picks him up

Total distance from Emilio and Lynda live = 10 miles

Time taken to walk the distance = \(2\frac{1}{4}\) hours

Convert the mixed fraction to simple fraction

\(2\frac{1}{4}\) hours = 2.25 hours

Speed = Distance / Time

Speed while walking = 10 / 2.25

= 4.44 miles per hour

Time taken to drive = 15 minutes = 15/60

= 0.25 hours

Speed = 10 / 0.25

= 40 miles per hours

Relative speed = 40 + 4.44

= 44.44 miles per hour

The time taken = 10 / 44.44

= 0.22 hours

= 13.2 minutes

The distance that Emilio walked = Speed × Time

= 4.44 × 0.22

= 0.98 miles

Hence, they will meet after 13.2 minutes and Emilio has walked 0.98 miles when Lynda picks him up

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Answer:

six

Step-by-step explanation:

Answer:

if you want the answer us photo math I think !

Answer:

(A)(10, –2)

Step-by-step explanation:

The image of the given triangle has points :

\(A'(-2, 10)\\B'(-6, 4)\\C'(-10, 8)\)

When points are reflected across the line y = x, the x-coordinate and y-coordinate change places.

Therefore, the pre-image of the triangle has points:

\(A(10,-2)\\B(4,-6)\\C(8,-10)\)

Therefore, the pre-image of vertex A' is (10,-2).

The correct option is A.

Answer:

A. (10, –2)

May I have brainliest please? :)

Answer:

\(\left(-\frac{5}{2}, -1 \right)\)

Step-by-step explanation:

\(\left(\frac{-5+0}{2}, \frac{2-4}{2} \right)=\left(-\frac{5}{2}, -1 \right)\)

Answer:

28.52

Step-by-step explanation:

105.87 - 77.35 = 28.52

The total centimeters that the plants grew in all was 200 centimeters or 2.00 centimeters when written as a decimal.

Centimetres (cm) is a unit of length in the metric system, equal to one-hundredth of a metre. It is commonly used in everyday life, for example when measuring the height of a person or the size of a room. Centimetres are also used in scientific and engineering measurements, such as the size of an object or the distance between two points. Centimetres are divided into millimetres, which are one-thousandth of a metre.

This can be written as a decimal as 2.00 centimeters.

To determine the total centimeters, we simply add the individual centimeter measurements of the two plants.

Daysha's plant grew 100 centimeters and India's plant grew 100 centimeters.

Therefore, the total centimeters that the plants grew in all was 200 centimeters, or 2.00 centimeters when written as a decimal.

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Hi. I'm sorry but the options given aren't correct, because the ordered pairs shown in the table do not correspond to an Equation of a line.

You're welcome! :)

Answer:

/-37/, /-24/, /-6/, /2/, /18/, /23/

The sum of all the positive numbers from 1 to 116, inclusive, is 6350.

The sum of the first n positive integers can be found using the formula n(n+1)/2. In this case, n=116, so the sum of all the positive numbers from 1 to 116, inclusive, is 116 * 117 / 2 = 6350. This formula can be useful in a variety of mathematical and real-world applications, such as finding the total number of objects in a sequence or the total distance traveled by an object moving at a constant speed.

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Answer:

Step-by-step explanation:

The area of square 1 is 13mm*26mm=338mm^2

The area of the second rectangle is 15mm*32mm=480mm^2

The are of both rectangles = 338mm^2+480mm^2=818mm^2

Considering the given data-set, we have that:

An histogram is a graph that shows the number of times each element of x was observed, or the number of elements x in a range of values, as is used for this problem.

For the given 20 batting averages given in the table, we have that:

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Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

Answer:

x = 15

Explanation:

First, add both equations on one side, and set it equal to 180° because it's supplementary:

2x + 8 + 8x + 22 = 180

combine like terms:

10x + 30 = 180

subtract 30 on both sides of the equation and you end up with:

10x = 150

divide both sides by 10 and you get:

x = 15

Answer:

x=5

Step-by-step explanation:

Answer:

\(2.41351201 *10^2\)

Step-by-step explanation:

hope this helps have a good rest of your day :) ❤

Therefore, we can say that there is a 95% chance that a randomly selected light bulb will last between 675 and 900 hours.

Probability is a measure of the likelihood of an event occurring. It is a mathematical concept that is used to quantify the chance of a specific outcome in a given situation. Probability is typically expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur.

Here,

To solve this problem, we can use the z-score formula:

z = (x - mu) / sigma

where x is the value we want to find the probability for (in this case, between 675 and 900 hours), mu is the mean (750 hours), and sigma is the standard deviation (75 hours). We can then use a standard normal distribution table or calculator to find the probabilities associated with the calculated z-scores.

First, let's find the z-score for x = 675:

z = (675 - 750) / 75

= -1

Next, let's find the z-score for x = 900:

z = (900 - 750) / 75

2

Since the data is normally distributed, we can use this rule to estimate the probability that a randomly selected light bulb will last between 675 and 900 hours.

Thus, the probability that a randomly selected light bulb will last between 675 and 900 hours is approximately:

P = 95%

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Answer:

Step-by-step explanation:

To compare these two values, we first need to convert the mixed number 7 3/8 to an improper fraction. To do so, we multiply the whole number (7) by the denominator of the fraction (8), then add the numerator (3), and put the result over the denominator:

7 3/8 = (7 x 8 + 3) / 8 = 59/8

Now we can rewrite the inequality as:

(59/8) × (4/5) < 59/8

To simplify the left-hand side of the inequality, we multiply the numerators and denominators:

(59/8) × (4/5) = (59 × 4) / (8 × 5) = 236/40 = 59/10

So the inequality becomes:

59/10 < 59/8

To compare these fractions, we need to find a common denominator. The least common multiple of 8 and 10 is 40, so we can convert both fractions to have a denominator of 40:

59/10 = (59 x 4) / (10 x 4) = 236/40

59/8 = (59 x 5) / (8 x 5) = 295/40

Now we can see that 236/40 < 295/40, which means that:

59/10 < 59/8

Therefore, the inequality 7 3/8 × 4/5 < 7 3/8 is true.

Answer:

12 3/5

Step-by-step explanation:

Answer:

12 3/5

Step-by-step explanation:

Got it right on my test.

Answer: 1/6

Step-by-step explanation:

Given:

4/9 and 11/18

Solve:

STEP ONE: Make the denominators equal by determining the LCM

LCM = Least Common Multiple

First Five multiples of 9 = 9, 18, 27, 36, 45

First FIve multiples of 18 = 18, 36, 54, 72, 90

As we can see from the list above, both 18 and 36 overlap, however, 18 is less than 36. Therefore, 18 is the LCM.

STEP TWO: Compare the size and determine the greater one.

4/9 = (4 × 2) / (9 × 2) = 8/18

11/18 = 11/18

Since 11 > 8, therefore, 11/18 is greater than 8/18

STEP THREE: Find the difference between the two fractions.

 11/18 - 4/9

=11/18 - 8/18

=(11 - 8) / 18

= 3 / 18

= 1/6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Option B

Step-by-step explanation:

The margin of error describes how many percentage points the results will differ from the real population value, thus 'the margin of error for a 95% confidence interval is given as plus or minus 7 milligrams per deciliter of blood (mg/dl)' can be interpreted as 'The study used a method that gives a results within 7 mg/dl of the truth about the population in 95% of all samples.'

Answer:

174.96cm2

Step-by-step explanation:

V=lbh

=3.6×5.4×9

=174.96cm2

I don't knowif you want it in milliliters or litres so here are both of them

milliliters = 174.96

litres = 0.17496