Assume that students across the nation who took the SAT math exam were normally distributed about a mean value of 580 with a standard deviation of 60. Determine whatpercentage of the students scored higher than 750 on the exam.

Answer: \(\frac{2(x-7)}{5(x-3)(x-2)}\)

Step-by-step explanation:

I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.

1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.

2. I used the same method. Now I will multiply the two.

3. \(\frac{2(x-7)}{5(x-3)(x-2)}\)

Answer: Taking a poll of how many calls someone took anonymously and randomly choose 100 people

Step-by-step explanation:

Answer:

licensed drivers who own cell phones

Step-by-step explanation:

licensed drivers who own cell phones

Answer:

It's 64 !!

Step-by-step explanation:

Multiplying a negative and a positive equals a negative: (-) × (+) = (-)

\( - 9 < - \frac{ 1}{5} x\)

Multiplying both side of the inequality by -5 and flip the inequality sign:

\(( - 5) \times ( - 9) = 45\)

\(45 > x\)

Now, swap the sides of the inequality and flip the inequality sign:

\(x < 45\)

The answer is a) the mode.

The mode is one of the measures of central tendency used in statistics, along with the mean and the median, and it is especially useful for identifying the most common or typical value in a dataset.

The mode represents the most common value in a distribution, so to determine the measure of central tendency that represents the most common number of days it takes for most repairs, we need to identify the mode of the distribution.

In the given frequency table, we can see that the number of repairs is highest for the value 4 days, with a frequency of 18.

Therefore, the mode of the distribution is 4 days.

So the answer is a) the mode

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The most common number of the days it's take for more repairs the answer is a) the mode.

The mode is one of the measures of central tendency used in statistics, along with the mean and the median, and it is especially useful for identifying the most common or typical value in a dataset.

The mode represents the most common value in a distribution, so to determine the measure of central tendency that represents the most common number of days it takes for most repairs, we need to identify the mode of the distribution.
In the given frequency table, we can see that the number of repairs is highest for the value 4 days, with a frequency of 18.
Therefore, the mode of the distribution is 4 days.
So the answer is a) the mode

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Answer:

Step-by-step explanation:

To find the median, arrange the data in ascending order

10,20,30,40,50,60,70,80,90

Number of data = 9 . It is a odd number

So, median will be the (n+1)/2 th term

\(\left(\dfrac{9+1}{2} \right)^{th \ term} = (\dfrac{10}{2})^{th \ term} = 5^{th \ term}\)

Median =  50

Solution:

Step-1: Re-arrange the following data from biggest to smallest.

Step-2: Refer to the following:

    1. If there is an even number of digits, you will use the formula:

    2. If there is an odd number of digits, you will use the formula:

Step-3: Find the median:

If we count the number of digits in the data, we can say that nine numbers are in this data. Thus, we will use the formula "(Total number of digits + 1)/2"

The fifth term of the group is the median.

Step-4: Review the "biggest to smallest" data.

Since 50 is the 5th term, the median is 50.

The largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 3y + 4z = 9 has dimensions x = 1.5, y = 1, and z = 2.25, with a maximum volume of 3.375 cubic units.

To find the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 3y + 4z = 9, we can use the method of Lagrange multipliers.

Let the sides of the rectangular box be represented by the variables x, y, and z. We want to maximize the volume V = xyz subject to the constraint x + 3y + 4z = 9.

The Lagrangian function is then given by L = xyz + λ(x + 3y + 4z - 9).

Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them equal to zero, we get:

yz + λ = 0

xz + 3λ = 0

x*y + 4λ = 0

x + 3y + 4z - 9 = 0

Solving these equations simultaneously, we get:

x = 1.5, y = 1, z = 2.25, and λ = -0.5625

Therefore, the maximum volume of the rectangular box is V = 1.512.25 = 3.375 cubic units.

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Answer:

linear pair

Step-by-step explanation:

Linear pair because they are adjacent and supplementary

2x - 8y = 6

-2x + 2y = 7

Add the two equations together by combining like terms:

2x + -2x = 0

-8y + 2y = -6y

and 6 + 7 = 13

So when you combine the terms you end up having:

-6y = 13

Now solve for y by dividing each side by -6:

y = 13/-6

Rewrite by moving the negative sign in front of the fraction to get

y = -13/6

The answer is C.

Solve for y in the two equations below using substitution.

Equation 1 ➢ 2x - 8y = 6

Equation 2 ➢ -2x + 2y = 7

Adding both equations together, by combining similar terms, We get,

When we combine the terms, We get,

⇒ -6y = 13

Now, solving for y, by divide Right Hand Side & Left Hand Side by -6, We get,

⇒ y = \( \sf \frac{13}{-6} \)

⇒ y = \( \sf \frac{-13}{6} \)

∴ The value of y is \( \bf \frac{-13}{6} \)

The value of y is \( \bf \frac{-13}{6} \)

Hence, Option C. \( \bf \frac{-13}{6} \) is correct answer.

The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.

Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.

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Answer:

99          pls five me brainiest

Step-by-step explanation:

180-123=57

180-57-42=81

180-81=99

Answer

x=5 y=2

Step-by-step explanation:

Answer: A.

x*(2/5) = 10

Solve for x.

B.

y*(1/16) = 5

Solve for y

C.

t*(2/17) = 5

solve for t

Step-by-step explanation:

Jordy's first error in his proof is option (c) Jordy established all necessary conditions, but then used an inappropriate congruence criterion

Jordy's first error in his proof is that he used an inappropriate congruence criterion to prove that the two triangles are congruent. He established all necessary conditions, but AAA congruence is only valid for proving congruence of triangles in certain special cases, such as when the triangles are similar.

In general, AAA congruence is not a valid congruence criterion. This highlights the importance of choosing the correct congruence criterion when proving that two triangles are congruent, as using an invalid or inappropriate criterion can lead to an incorrect conclusion.

Therefore, the correct option is (c) Jordy established all necessary conditions, but then used an inappropriate congruence criterion

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a claim that is accepted as true without evidence, also referred to as an axiom. Lemmas and theorems are deduced from postulates, which serve as their fundamental building block.

For instance, Euclid's postulates, a set of five postulates, provide the foundation of all of Euclidean geometry.

Why are theorems and postulates crucial in geometry?

The foundation of any mathematical system, including geometry, algebra, and trigonometry, are postulates and theorems. Mathematicians have created entire systems of mathematics by utilizing postulates to argue theorems that can then be proved by other theorems.

A statement that has been proven true or that can be proven is known as a theorem in mathematics. A logical argument that uses the deductive system's inference rules to establish a theorem is called a proof.

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Answer:

-1,0 and -11,0 because you already factored and solved.

Answer:

5/12

Step-by-step explanation:

Answer:

Improper form: 17/12

Mixed number form: 1 5/12

Step-by-step explanation:

Turn the fractions into improper fractions. Once you do that you get 31/12 - 7/ 6. Next, you find a common denominator which is in this case 12. To get 7/6 denominator to 12, multiply the numerator and denominator by 2. Once this is done, you get 31/12 - 14/12. Subtract to get 17/12 aka 1 5/12.

The volume formula by making substitutions for V and L will be 100 = HW².

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

Suppose that a prism has a volume of 200 cm³ and L = 2W.

The volume formula by making substitutions for V and L will be

V = L x W x H

200 = 2W x W x H

100 = HW²

The volume formula by making substitutions for V and L will be 100 = HW².

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Answer:

0.125

Step-by-step explanation:

Answer:

$90

Step-by-step explanation:

c = 50 + .2m

c = 50 + .2(200)

c = 50 + 40

c = 90

This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the

pyramid to the volume of the prism?

1

A} volume of Pyramid

volume of priam

B} volume of pyramid

volume of priuam

C} volume of pyramid

volume of priim

D} Volume of pyramid

volume of

prime

____________________________________________

volume of the prism

x=-8 All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given

Answer:

equal parts of this story is the order I am the first thing to say about this

Answer:

25 flowers 14 bushes

Step-by-step explanation:

13f/23b = 308

16f/21b = 306

8f/260 = 308

25 · 6 = 150

14 · 10 = 140

140+150 = $290

Sarah can buy 25 flowers and 14 bushes considering her budget.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Let x be the number of flowers and y be the number of bushes.

Total expense = $300

Cost for each flower = $6

Cost for each bush = $10

We get an equation,

6x + 10y = 300

(a) 13 flowers and 23 bushes

Total cost = (6 × 13) + (10 × 23) = $308

(b) 16 flowers and 21 bushes

Total cost = (6 × 16) + (10 × 21) = $306

(c) 8 flowers 26 bushes

Total cost = (6 × 8) + (10 × 26) = $308

(d) 25 flowers 14 bushes

Total cost = (6 × 25) + (10 × 14) = $290

Hence the possible combination is 25 flowers and 14 bushes.

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Answer:

Slope=2

x−intercept=−  

2

4

​  

=−2

y−intercept=  

1

4

​  

=4.00000

Step-by-step explanation:

In order to help the museum digitize the remaining books, they will need to use the technique of data compression. What is data compression? Data compression is the process of compressing digital data to reduce its size. The goal is to save storage space and improve transmission speed. The term “compression” refers to the technique of compacting information into fewer bits, whereas “decompression” refers to the process of restoring the original data from the compressed data.

Digitize: To digitize is to transform a physical object, text, image, or sound into a digital format that can be used by computers or other electronic devices to be stored or processed. Digitizing is becoming more popular because digital files are easier to manage, edit, and store than physical documents.

Digital files: A digital file is a file that contains digital data, such as images, video, audio, or text, that can be stored, edited, and manipulated by electronic devices. Digital files are stored on a computer, server, or another electronic device, and can be accessed and shared over the internet.

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The probability of a randomly selected bill being at least $39.10 is approximately option (d) 0.0344

To solve this problem, we need to standardize the given value using the standard normal distribution formula

z = (x - mu) / sigma

where:

x = $39.10 (the given value)

mu = $30 (the mean)

sigma = $5 (the standard deviation)

z = (39.10 - 30) / 5

z = 1.82

Now, we need to find the probability of a randomly selected bill being at least $39.10, which is equivalent to finding the area under the standard normal distribution curve to the right of z = 1.82.

Using a standard normal distribution table or calculator, we can find that the probability of a randomly selected bill being at least $39.10 is approximately 0.0344.

Therefore, the correct option is (d) 0.0344.

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