4.

Is the relationship shown by the data linear? If so, model the data with an equation.

A. The relationship is linear; y + 2= -5/4(x + 9).
B. The relationship is not linear.
C. The relationship is linear; y + 2= 4/5(x + 9).
D. The relationship is linear; y + 9= -4/5(x + 2).

Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).

We have the standard deviation for the population, which is why the z-distribution is used to solve this question.

The interval is given by:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.

Then:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 480 - 1.96\frac{100}{\sqrt{656}} = 472[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 480 + 1.96\frac{100}{\sqrt{656}} = 488[/tex]

The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).

A similar problem is given at https://brainly.com/question/22596713

Answer:

See Below

Step-by-step explanation:

Slope is rise over run.

Rise is the difference in the y values

Run is the difference in the x values.

Rise/Run = 5 (slope)

You have both x values 4 from one point and 5 from the other point so the difference is 1.  The Run is equal to 1

So you now have Rise / 1 = 5

The first y value you have is 5 and based on (rise/1 = 5), you know the difference in the y values must equal 5.  That means the other y value has to be either 10 or 0.

0 will not work because that would make the slope negative since the line would slope downward from left to right.

Answer:

22, 25, 28

Step-by-step explanation:

10 + 3 = 13

13 + 3 = 16

16 + 3 = 19

19 + 3 = 22

22 + 3 = 25

25 + 3 = 28.

all numbers go up by three points

Answer:

1 : 9

2 : 24

Step-by-step explanation:

Answer:

9 < 24

Step-by-step explanation:

1.4 x 10 = 14

14 - 5 = 9

2.8 x 10 = 28

28 - 4 = 24

I am assuming this is an inequality.

Hope This Helps!

Answer:

X = 150

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

X=150

Step-by-step explanation:

Answer:

[tex]v = \frac{rk}{2} + h[/tex]

Step-by-step explanation:

Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:

Start by multiplying both sides by k:

[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]

rk = 2(v - h)

Divide both sides by 2:

[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]

[tex]\frac{rk}{2} = v - h[/tex]

Add h to both sides to isolate v :

[tex]\frac{rk}{2} + h = v - h + h[/tex]

[tex]\frac{rk}{2} + h = v[/tex]

Answer:

Step-by-step explanation:

c=1/4(A-3c)

4c = A-3c

7c = A

c = A/7

Answer:

98.25 M/s

Step-by-step explanation:

Answer:

x²+7x+12

Step-by-step explanation:

x*x=x²

x*4=4x

3*x=3x

4x+3x=7x

3*4=12

=x²+7x+12=0

Answer: ^2 + 7 + 12

Step-by-step explanation:

(x + 4)(x + 4)

( + 4)+3( + 4)

( + 4)+3( + 4)

^2 + 4 + 3( + 4)

^2 + 4 + 3 + 12

^2 +7 +12

Answer:

-2.5 or -5/2

Step-by-step explanation:

To find the slope we need to find the change in y and divide it by the change in x:

m = change in y ÷ change in x

m = (-5 - 20) ÷ (11 - 1)

m = 25 ÷ -10

m = -2.5 or -5/2

Hope this helps!

Step-by-step explanation:

(x/2) +(y/-8)=1

[tex] \frac{x}{2} - \frac{y}{8} = 1[/tex]

well that is the equation

Answer:

y=(y/x+8/x) x-8

Step-by-step explanation:

Answer:

really I am confused and you are putting this here

Answer:

h = g^2 f

Step-by-step explanation:

because it just is your welcome

Answer:2 hours 15 mins = 2 1/4 hours

2 1/4 hours = 25 miles

1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles

Answer: 11.1 mph

Step-by-step explanation:

Answer:

answer is 27 trust me. I can't explain step by step so please trust ma ans is27

Answer:

0, 1, and 2

This is the answer

Answer:

3215

Step-by-step explanation:

There is no explanation

Go and increase you Intelligence

The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C

Given the data :

Person 1 :

Person 2 :

Person 3 :

Mean value = (Total sum ÷ Frequency)

Mean value = [(-2 + (-1) + 12) ÷ 12]

Mean value = - 9 ÷ 12 = - 0.75

Therefore, the mean value of the result is 0.75°C

Learn more : https://brainly.com/question/25242892

Answer:

where question？

Step-by-step explanation:

i dont know the question it cant be solve

Answer:

I don't see the question. it cannot be solved

Answer:

Step-by-step explanation:

To solve, we first need to know how to find the average of a group of numbers. To find the average of a group of numbers, you add all the numbers together and divide that answer by the number of numbers you have. For instance, to find the average of 1, 2, 3, 4 and 5, we would add all the numbers together, which would equal 15. We would then divide that number by 5, because there are 5 numbers total: 15/5 = 3. So the average is 3.

Now, to find the average in your problem, we need to look at what we know:

He received an 85 and 60 on two of the test scores

He needs an overall average of 70

Let's set this up in equation form:

%2885+%2B+60+%2B+x%29%2F3+%3E=+70

Now, let's get rid of our fraction on the left. We can do this by multiplying the entire equation by 3, giving us:

85 + 60 + x >= 210

Next, combine the numbers on the left, which will give us:

145 + x >= 210

Finally, subtract 145 from both sides, which will give us our answer:

145 + x - 145 >= 210 - 145 =

x >= 65

So, in order to average at least 70, he must score a 65 or higher on his third test.

Answer:

12

Step-by-step explanation:

Since 1 unit is 1x1, we then you can just count the width (4, 4) and the height (2, 2). Then add all. Getting 12.

Answer:

400=(×+20)× is the equation or

400=×^2+20×

(×+10)= square root of 500

×+10=10 radical 5

final answer -10 + or - 10 radical 5=×

Answer:

$400 per month

Step-by-step explanation:

20 - per student

10 groups of 2,

so 20 students

20 * 20 = 400

$400

Answer:

$400

Step-by-step explanation:

10 groups of 2 students so multiply 10 by 2 to get the total of how many students so if he gets $20 per student you will multiply the number of students by the rate which is $20 giving a total of $400

Answer:

(-10, -8), third quadrant

Step-by-step explanation:

8 down from (0, 0) is the same as subtracting 8 from the y coordinate → (0, -8). 10 left from (0, -8) is the same as subtracting 10 from the x coordinate → (-10, -8). You would be in the third quadrant where both coordinates are negative.

Hope this helps!

Answer:

D. 5

Step-by-step explanation:

read each number from the plot. remember each x represents one number so there are 11 numbers. you divide it then it gives you 5

Answer: The answer is 6

Hopefully, this is correct!

Answer:

an apple costs 0.24 and a pear costs 0.28

Step-by-step explanation:

      3a + 4p = 1.84                                 3a + 4p = 1.84

     -5a + 2p = 1.76   m(-2)                 -10a - 4p = -3.52

        3a + 4p = 1.84

 +   -10a - 4p = -3.52

       -7a          = -1.68

           a         = -1.68/-7

           a        =  0.24

       3a + 4p = 1.84

       3(0.24) + 4p = 1.84

       0.72  + 4p = 1.84

                   4p = 1.84 - 0.72

                    4p = 1.12

                      p = 0.28

The cost of an apple is £0.24 and the cost of pear is £0.28

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let a represent the cost of one apple and p represent the cost of one pear.

Then the system of equation will be;

     3a + 4p = 1.84                                

    -5a + 2p = 1.76   m(-2)                

-10a - 4p = -3.52

Solving both the equation;

-7a   = -1.68

a   = -1.68/-7

a   =  0.24

For solving p;

3a + 4p = 1.84

3(0.24) + 4p = 1.84

0.72  + 4p = 1.84

4p = 1.84 - 0.72

4p = 1.12

p = 0.28

Hence, the cost of an apple is £0.24 and the cost of pear is £0.28

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Answer:

cos o sin

Step-by-step explanation:

Differentiate both sides with respect to x, using the chain rule for the sine term:

[tex]\cos(x) + \sin(y) = 1[/tex]

[tex]\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for dy/dx :

[tex]-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}[/tex]

Answer:

Number 3 is correct.

129.19m

Step-by-step explanation:

You might be wondering how did I got 32⁰, well, that's because they are alternate angles.

Now, we're trying to find the opposite side of the triangle.

Using the laws,

we got cos32⁰=x/243.8

243.8cos32⁰=x

129.19⁰

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