Can you help me with this?

Answer:

The 95% confidence interval estimate of the population mean  is (7.38, 8.46).

Step-by-step explanation:

Before building the confidence interval, we need to find the mean and standard deviation of the sample.

In this sample, there are 50 values.

Mean of the sample:

Sum of all values divided by the number of values.

With the help of a calculator, the mean is of 7.92.

Standard deviation:

Square root of the division of the sum of the difference squared between each value and the mean by the number of the values.

With the help of a calculator, the standard deviation is of 1.8958.

Confidence interval:

We have the confidence interval for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.01

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.01\frac{1.8958}{\sqrt{50}} = 0.54[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.92 - 0.54 = 7.38

The upper end of the interval is the sample mean added to M. So it is 7.92 + 0.54 = 8.46

The 95% confidence interval estimate of the population mean  is (7.38, 8.46).

Answer:

is it 120

Step-by-step explanation:

it is 120 I can't really explain how I got it though

Answer:

5 ( x + 7 )

Step-by-step explanation:

= 5x + 35

= 5 ( x + 7 )

Therefore, after factorizing you will get 5 ( x + 7 )

Answer:

hey , it can be factored:

this is the factored expression:

5(x+7)

Answer:

y = - 15.57x² + 179.32x + 0.20

510

Step-by-step explanation:

The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :

y = - 15.57x² + 179.32x + 0.20

Where, height = y

x = time

Using the model obtained ; the height, to the nearest foot, at a time, x = 6.4 seconds.

y = - 15.57x² + 179.32x + 0.20

y = - 15.57(6.4^2) + 179.32(6.4) + 0.20

y = 510.1008

y = 510

The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :

height = y

x = time

                          Using the model obtained;

The height, to the nearest foot, at a time, x = 6.4 seconds.

Thus, the correct answer is 510.

Know more :

https://brainly.com/question/23117287?referrer=searchResults

Answer:

3. B

4. B

5. C

Step-by-step explanation:

Answer:

z = 100*x₁  + 150*x₂  +  210*x₃

Step-by-step explanation:

Lyric a looks like there is a typing error in the first term ( 100.11 ) .

the right is 100*x₁

9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the FCI for soccer. The given values tell us ...

  s + (s +7.47) = 108.09

  2s = 100.62 . . . . . . . . . . subtract 7.47

  s = 50.31

  s+7.47 = 57.78

The FCI for soccer was $50.31; the FCI for hockey was $57.78.

Answer:

Table of values

[tex]x \to y[/tex]

[tex]0 \to -5[/tex]

[tex]1 \to -2[/tex]

[tex]2 \to 1[/tex]

[tex]3 \to 4[/tex]

[tex]4 \to 7[/tex]

[tex]5 \to 10[/tex]

See attachment for graph

Step-by-step explanation:

Given

[tex]y = 3x - 5[/tex]

Solving (a): Make a table

Considering the values of x from 0 to 5, we have:

When [tex]x = 0[/tex]

[tex]y = 3x - 5 \to 3 * 0 - 5 = -5[/tex]

When [tex]x = 1[/tex]

[tex]y = 3x - 5 \to 3 * 1 - 5 = -2[/tex]

When [tex]x = 2[/tex]

[tex]y = 3x - 5 \to 3 * 2 - 5 = 1[/tex]

When [tex]x = 3[/tex]

[tex]y = 3x - 5 \to 3 * 9 - 5 = 4[/tex]

When [tex]x = 4[/tex]

[tex]y = 3x - 5 \to 3 * 4 - 5 = 7[/tex]

When [tex]x = 5[/tex]

[tex]y = 3x - 5 \to 3 * 5 - 5 = 10[/tex]

So, we have:

[tex]x \to y[/tex]

[tex]0 \to -5[/tex]

[tex]1 \to -2[/tex]

[tex]2 \to 1[/tex]

[tex]3 \to 4[/tex]

[tex]4 \to 7[/tex]

[tex]5 \to 10[/tex]

Solving (b): The graph

See attachment

Answer:

(2 , 1)

Step-by-step explanation:

point Z (x, y)

x = 3/5 × (6+4) + (-4)

= 3/5×10 -4

= 6-4

= 2

y = 3/5 ×(3+2) + (-2)

= 3/5 ×5 -2

= 3-2

= 1

so, point Z => (2 , 1)

Answer:

5.39

Step-by-step explanation3.14

Answer:

A. 9.8ft

Step-by-step explanation:

work out arc length using this formula

[tex]2\pi \: \times r \times \frac{\theta}{360} [/tex]

r is the radius, 7 in this case and theta(the symbol above 360) is the angle, 80 in this case

Answer:

c: 120

Step-by-step explanation:

Answer:

sin X=30 degree

cos X=30 degree

tan X=30 degree

cot X=30 degree

sec X=30 degree

Step-by-step explanation:

Answer:

153:20

Step-by-step explanation:

765000/100000

=153/20

9514 1404 393

Answer:

  7 minutes

Step-by-step explanation:

The total of stacks per minute is ...

  1/10 +1/35 +1/70 = (7+2+1)/70 = 1/7 . . . . stacks per minute

The rate in minutes per stack is the reciprocal of this.

Working together, the workers can sort a stack of mail in 7 minutes.

The correct answer is Option (4).

Answer:

The shortest segment from the point to the line is perpendicular to the line.

Step-by-step explanation:

See the attached image.  The blue segments go from the point to the line, but they are longer than the shortest such segment (red).

Answer:

The image's not clear!

Step-by-step explanation:

Answer:

The answer is 30 (C)

Given:

Two figures.

To find:

The area of the shaded regions for both figures.

Solution:

In first figure, the shaded area is a triangle with base 15 units and height 12 units. So, the area of the shaded region is equal to area of the triangle.

[tex]A=\dfrac{1}{2}\times base\times height[/tex]

[tex]A=\dfrac{1}{2}\times 15\times 12[/tex]

[tex]A=\dfrac{180}{2}[/tex]

[tex]A=90[/tex]

Therefore, the area of the shaded region is 90 square units.

In the seconds figure, we need to subtract the area of square from the area of triangle, to get the area of the shaded region.

Area of triangle with base 15 and height 18 is:

[tex]A_1=\dfrac{1}{2}\times 15\times 18[/tex]

[tex]A_1=\dfrac{270}{2}[/tex]

[tex]A_1=135[/tex]

Area of the square with sides 6.

[tex]A_2=(side)^2[/tex]

[tex]A_2=(6)^2[/tex]

[tex]A_2=36[/tex]

Now, the area of the shaded region is:

[tex]A=A_1-A_2[/tex]

[tex]A=135-36[/tex]

[tex]A=99[/tex]

Therefore, the area of the shaded region is 99 square units.

Answer:

y=-2/5x-11/5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=-2/5(x-2)

y+3=-2/5x+4/5

y=-2/5x+4/5-3

y=-2/5x+4/5-15/5

y=-2/5x-11/5

Answer:

0.109

Step-by-step explanation:

Probability is expressed by the number of desirable outcomes over the total outcomes. The total outcomes would be 2^8 because there are two possibilities in each flip, and using the fundamental counting principle, you get 2^8 total outcomes. Next, to find the amount of situations where you only flip two tails, you use 8 choose 2 because we are looking for the amount of ways you can choose 2 out of the 8 to be tails. 8 choose 2 is the same as:

8! / (6! x 2!) - 28

So, the probability is:

28 / 2^8 or 28/256

As a decimal, this is: 0.109375

And rounded to the nearest thousandth it's 0.109

Answer:

5 x Square root:2

Step-by-step explanation:

Step-by-step explanation:

To get through school nd have something to do w your life!

Answer:

m∡x = 95°

m∡y = 147°

m∡z = 128°

Step-by-step explanation:

m∡z = 180-52 = 128

measure of third angle in left triangle = 180-(45+50) = 85°

m∡x = 180-85 = 95°

measure of top angle in right triangle = 180-(95+52) = 33°

m∡y = 180-33 = 147°

Step-by-step explanation:

I feel there is important information lost in the way you provided the problem statement.

e.g. "... also equal to ?"

equal to what ?

sin x = what ?

so, I can only guess some things.

answer C is definitely correct for any angle up to 180 degrees.

answer A is only correct for an angle of 45 or 225 degrees, where sin(x) and cos(x) are both 1/sqrt(2) or both -1/sqrt(2).

answer B is always wrong (459 degrees is no special number, this is a full circle of 360 degrees and then additional 99 degrees there is no special relationship between sine and cosine for 99 degrees, so sine and cosine cannot have the same value for any x).

answer D is always wrong, as there is always a 30 degree difference between the arguments for sine and cosine, and that can never lead to an equal value.

answer E is also always wrong, as these 45 degrees difference also block equal values.

Answer:

Step-by-step explanation:

The missing diagram showing the trapezoids is attached in the diagram below.

There are three stages by which trapezoid A must be transformed into trapezoid B.

We can see three fundamental differences as follows:

As a result, we will perform the following transformations: 

Answer:

Third Grade!

Step-by-step explanation:

Hope you have a good day <3

Answer:

it's third grade:)

Step-by-step explanation:

just follow the line from 150 and when you see the grade level that meets it exactly there's your answer!