the quotient of 9 3/4 and 5/8​

Answer:

f(3) = 7

Step-by-step explanation:

f(x) = 2x + 1

f(3) = 2(3) + 1

f(3) = 6 + 1

Substitute the 3 in for x.

f(3) means that x is equal to 3.

This just means we substitute the value of 3 into the f(x) = 2x+ 1 to get

f(x) = 2(3)+ 1,

f(3) = 2(3)+ 1,

f(3) = 6+ 1,

f(3) = 7

Answer:

1 is linear, 2 is linear, 3 is not linear, 4 is not linear

Answer:

Function 1 is linear

Function 2 is linear

Function 3 is not linear

Function 4 is not linear

Answer:

this is not an answer but I will post one, could you tell us what the answer choices are?

Step-by-step explanation:

it would help with the answers.

Answer:

x=3

Line passes through 3 on the x-axis.

The functions (f.g)(x) and (g.s)(x) are illustrations of composite function

The values of the composite functions are:

(fg)(x) = -6x^2 + 31x - 40 and (gs)(x) = -8x^3 + 38x^2 -49x+ 10

The equation of the functions are given as:

f(x) = 3x - 8

g(x) = -2x + 5

s(x) = 4x^2 - 9x + 2

.

The composite functions are calculated using:

(fg)(x) = f(x) * g(x)

So, we have:

(f g)(x) = (3x - 8) * (-2x + 5)

Evaluate the product

(fg)(x) = -6x^2 + 15x + 16x - 40

Evaluate the like terms

(fg)(x) = -6x^2 + 31x - 40

Also, we have:

(gs)(x) = g(x) * s(x)

So, we have:

(gs)(x) = (-2x + 5) * (4x^2 - 9x + 2)

Expand

(gs)(x) = -8x^3 + 18x^2 -4x + 20x^2 - 45x + 10

Collect like terms

(gs)(x) = -8x^3 + 18x^2 + 20x^2-4x - 45x + 10

Evaluate the like terms

(gs)(x) = -8x^3 + 38x^2 -49x+ 10

Hence, the values of the composite functions are:

(fg)(x) = -6x^2 + 31x - 40 and (gs)(x) = -8x^3 + 38x^2 -49x+ 10

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30 × 0.15 = 4.5

30 + 4.5 = 34.5

Sandra's new wage is $34.5 per hour.

Answer:

Area = 996 in^2

Step-by-step explanation:

First, look at the triangle on top, well, like half of it. You can use Pythagorean theorem to find the missing side. See image. Double it to find the base of the whole triangle. Use Area of a triangle:

= 1/2 b•h

to find the area of the top (the triangle).

The 24, used for the triangle base is also the side length of the square below. See image.

Area of a square is:

Area = s^2

OR, just l×w or b×h,

all the same.

Add together the triangle area and the square's area for the final answer. See image.

Answer:

>

Step-by-step explanation:

Answer: >

Step-by-step explanation: Because 1/4 as a decimal is .25 and you can change the 0.4 to 0.40; they are the same thing. And .40 is greater than .25

45+35=80

100-80=20

360×20/100

72 so the answer is this and the formula E=T×%/100

Answer:

All parallelograms are rectangles.

The game's expected value is (A) $0.33

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

Outcome of 2 = Win $8

Other outcomes = Win $0

A die has the following sample space

S = {1, 2, 3, 4, 5, 6}

Using the above sample space, the individual probabilities are:

P(Outcome of 2) = 1/6

P(Others) = 5/6

The expected value is calculated as

Expected value = Sum of the products of the probability and the amount win/lose

So, we have

Expected = 1/6 * 8 + 5/6 * 0

Evaluate the products

Expected = 1.33

The charge is $1

So, we have

Expected = 1.33 - 1

Evaluate

Expected = 0.33

Hence, the expected amount is $0.33

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Step-by-step explanation:

ooo matrics um if you give me a second ill solve it

Answer:

n = 3

Step-by-step explanation:

2n+5-6 = 5 ( add 6 on both sides)

2n+5=11 (then subtract 5 on both sides)

2n=6 (Then divide by 2 on both sides)

n = 3

Answer:

\(n=3\)

Step-by-step explanation:

\(2n + 5 - 6 = 5\)

Subtract 5 from both sides:

\(2n+5-6-5=5-5\)

\(2n-6=0\)

Add 6 to both sides:

\(2n-6+6=0+6\)

\(2n=6\)

Divide both sides by 2:

\(\frac{2n}{2}=\frac{6}{2}\)

\(n=3\)

OAmalOHopeO

Answer:

C.

Step-by-step explanation:

To find which table is correct, you first have to plot the graph. First, pick some easy points on the X axis to graph. Some of these points could be -4, 0 and 4. Now you need to fill in the equation.

Y = -1/2*-4 - 2  = 0

Y = -1/2*0 - 2   = -2

Y = -1/2*4 - 2   = -4

Now you can plot the points and draw your line. Once you have done this, you check each table and see if all the points match up. Doing so would give you answer C.

Also the graph from the equation can be seen below

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

The simplification of the given expression above after division would be = 4

How to simplify the given expression?

When a fraction is to be divided by a whole number, a multiplication sign can be used whereby the numerator becomes the denominator and the denominator becomes the numerator.

That is, 3 ÷ 3/4

= 3 × 4/3

= 4

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Answer:

5x<30

Open circle.

5x<30

Divide by 5

x < 6

Open circle, arrow to the left. Answer is H

Answer:

Reject the null hypothesis. There is sufficient evidence to conclude that the mean is less than 31%.

Step-by-step explanation:

In this case we need to test whether the popular charity has expenses that are higher than other similar charities.

The hypothesis for the test can be defined as follows:

H₀: The popular charity has expenses that are higher than other similar charities, i.e. μ > 0.31.

Hₐ: The popular charity has expenses that are less than other similar charities, i.e. μ < 0.31.

As the population standard deviation is not known we will use a t-test for single mean.

Compute the sample mean and standard deviation as follows:

\(\bar x=\frac{1}{n}\sum X=\frac{1}{10}\cdot[0.26+0.12+...+0.26]=0.238\\\\s= \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 0.0674 }{ 10 - 1} } =0.08654\approx 0.087\)

Compute the test statistic value as follows:

\(t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{0.238-0.31}{0.087/\sqrt{10}}=-2.62\)

Thus, the test statistic value is -2.62.

Compute the p-value of the test as follows:

 \(p-value=P(t_{\alpha, (n-1)}<-2.62}\)

                \(=P(t_{0.05,9}<-2.62)\\=0.014\)

*Use a t-table.

Thus, the p-value of the test is 0.014.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.014 < α = 0.05

The null hypothesis will be rejected at 5% level of significance.

Thus, concluding that there is sufficient evidence to conclude that the mean is less than 31%.

Answer:

18 feet

Step-by-step explanation:

Perimeter=2(l+b)

80=2(w+w+4)

80=2(2w+4)

80=4w+8

80-8=4w

72/4=w

W=18 feet

Answer:

The answer is in the file below, I wasn't able to make it in text form.

The statement which best describes the data given is C) The data can be modeled by a quadratic function.

Given a data,

The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table.

It is clear that the number of customers increases to 18 for the first 4 hours and then decreases to 0 after 9 hours.

So this data cannot be modeled by a linear function or an exponential function.

Also since the number of customers arriving is not constant, this cannot be expressed as constant function.

So it is quadratic function.

Hence the correct option is c.

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Answer:

21 cups of sugar

Step-by-step explanation:

3/4 x 28 = 21

Answer:

133 m^2

Step-by-step explanation:

to find are of a circle it’s r^2 times pi

6^2 x pi

36 pi

113 m^2

Hopes this helps please mark brainliest

Answer:

Answer C is correct

Step-by-step explanation:

The formula to find the area of a circle is:

A = πr²

Here,

r => radius = 6m

Let us find the area of the circle.

A = πr²

A = 3.14 × 6 × 6

A = 113.04 m²

Approx. = 113m²

Answer:

-10, -6

6, 10

Step-by-step explanation:

Let the one number be x.

One number is 3/5 of the other number.

The numbers are x and 3x/5.

Add 4 to one number, the sum equals the other number.

There are two possibilities.

A) x + 4 = 3x/5

B) 3x/5 + 4 = x

Solve A)

5x + 20 = 3x

2x = -20

x = -10

Solve B)

3x + 20 = 5x

2x = 20

x = 10

According to A)

x = -10

3x/5 = -6

According to B)

x = 10

3x/5 = 6

Answer:

-10, -6

6, 10

The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.

To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.

We are given that the area of the square is 25, so we can find the side length of the square:

Area of square = \(s^2 = 25\)

Taking the square root of both sides, we get:

s = √25 = 5

Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:

Diagonal = Diameter = s√2 = 5√2

The radius of the circle is half the diameter, so:

Radius = 5√2 / 2 = (5√2)/2

Now, we can calculate the area of the circle using the formula:

Area of circle = \(\pi r^2\)

Substituting the value of the radius, we get:

Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2

Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.

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Answer:

a

 \(P(\= X \ge 51 ) =0.0062\)

b

\(P(\= X \ge 51 ) = 0\)

Step-by-step explanation:

From the question we are told that

The mean value is \(\mu = 50\)

The standard deviation is  \(\sigma = 1.2\)

Considering question a

The sample size is  n = 9

Generally the standard error of the mean is mathematically represented as

      \(\sigma_x = \frac{\sigma }{\sqrt{n} }\)

=>   \(\sigma_x = \frac{ 1.2 }{\sqrt{9} }\)

=>  \(\sigma_x = 0.4\)

Generally the probability that the sample mean hardness for a random sample of 9 pins is at least 51 is mathematically represented as

      \(P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_{x}} \ge \frac{51 - 50 }{0.4 } )\)

\(\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )\)

     \(P(\= X \ge 51 ) = P( Z \ge 2.5 )\)

=>   \(P(\= X \ge 51 ) =1- P( Z < 2.5 )\)

From the z table  the area under the normal curve to the left corresponding to  2.5  is

    \(P( Z < 2.5 ) = 0.99379\)

=> \(P(\= X \ge 51 ) =1-0.99379\)

=> \(P(\= X \ge 51 ) =0.0062\)

Considering question b

The sample size is  n = 40

   Generally the standard error of the mean is mathematically represented as

      \(\sigma_x = \frac{\sigma }{\sqrt{n} }\)

=>   \(\sigma_x = \frac{ 1.2 }{\sqrt{40} }\)

=>  \(\sigma_x = 0.1897\)

Generally the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51 is mathematically represented as  

       \(P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_x} \ge \frac{51 - 50 }{0.1897 } )\)

=> \(P(\= X \ge 51 ) = P(Z \ge 5.2715 )\)

=>  \(P(\= X \ge 51 ) = 1- P(Z < 5.2715 )\)

From the z table  the area under the normal curve to the left corresponding to  5.2715 and

=>  \(P(Z < 5.2715 ) = 1\)

So

   \(P(\= X \ge 51 ) = 1- 1\)

=> \(P(\= X \ge 51 ) = 0\)

Using the normal distribution and the central limit theorem, we have that there is a:

a) 0.0062 = 0.62% probability that the sample mean hardness for a random sample of 9 pins is at least 51.

b) 0% approximate probability that the sample mean hardness for a random sample of 40 pins is at least 51.

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

Item a:

The probability is 1 subtracted by the p-value of Z when X = 51, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{51 - 50}{0.4}\)

\(Z = 2.5\)

\(Z = 2.5\) has a p-value of 0.9938.

1 - 0.9938 = 0.0062

There is a 0.0062 = 0.62% probability that the sample mean hardness for a random sample of 9 pins is at least 51.

Item b:

Even though the distribution is not normal, the sample size is of \(n = 40 > 30\), hence the Central Limit Theorem can be applied.

\(s = \frac{1.2}{\sqrt{40}} = 0.19\)

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{51 - 50}{0.19}\)

\(Z = 5.26\)

\(Z = 5.26\) has a p-value of 1.

1 - 1 = 0

0% approximate probability that the sample mean hardness for a random sample of 40 pins is at least 51.

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Answer: 626 yd^2

Step-by-step explanation: First you need to split the figure into 2 rectangular prisms (see attached image). The tallest rectangular prism has a length of 12 yd, a width of 3 yd, and a height of 11 yd. The shorter one has a length of 12yd, a width of 4 yd, and a height of 4 yd. The surface area equation is SA=2(wl+hl+hw). First solve for the taller rectangular prism. SA=2(3x12+11x12+11x3). SA=2(36+132+33). SA=2(201). SA=402 yd^2. Now solve for the smaller rectangular prism. SA=2(4x12+4x12+4x4). SA=2(48+48+16). SA=2(112). SA=224 yd^2. Lastly, add both values together. 402+224=626 yd^2.

Answer:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

Step-by-step explanation:I hope it helps

Answer:

It is purple

Step-by-step explanation:

Answer:

purple

because they interset each other

Step-by-step explanation: