A sample of 50 elements from a population with a standard deviation of 20 is selected. The sample mean is 150. The 90% confidence interval for is: a.165.0 to 185.0. b.146.4 to 153.6. c.145.3 to 154.7. d.171.8 to 188.2.

Answers

Answer 1

Answer:

c.145.3 to 154.7.

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{20}{\sqrt{50}} = 4.7[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 150 - 4.7 = 145.3.

The upper end of the interval is the sample mean added to M. So it is 150 + 4.7 = 154.7.

Thus the correct answer is given by option c.


Related Questions

16 • (14) =
-9 • (-8) =
- 13 • 7

Answers

Answer:

16×14 = -9×(-8) = -13×7

Falso

Step-by-step explanation:

Use the distributive property to simplify
the equation below.
с
8(2a + 4b - c)
[? ]a + [ ]b - [
[ ]

Answers

Answer:

16a +32b - 8c

Step-by-step explanation:

8(2a + 4b - c)

Distribute

8*2a  + 8*4b+ 8*(-c)

16a +32b - 8c

Answer:

16a + 32b - 8c

Step-by-step explanation:

You bring 8 inside the parenthesis and then multiply it with everything. so for a you put 16, b you put 32 and c you put 8

10) Find three numbers whose product is -72. You may use integers from -10 to 10. Give two
examples

Answers

Answer:

Step-by-step explanation:

-8 *  9 * 1

If you are going to get - 72, you need to have an odd number of minus signs.

4 * 3 * - 6

You must be careful of the limits. You can't use something like 36 * 2  * 1 because the numbers don't fall within +/- 10

You could use 6*6*-2

Use the graph to determine the input values that correspond with f(x) = 1.

Answers

Answer:

[tex]x = -7[/tex] and [tex]x = 2[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Find x, for [tex]f(x)= 1[/tex]

From the graph, we have the following readings

[tex]f(x)= 1[/tex] when:

[tex]x = 2[/tex] and [tex]x = -7[/tex]

Hence, (d) is correct

The gcf of two numbers is 3 and their lcm is 180, if one of the numbers is 45 then found the second number

Answers

Answer:

answer is 12

Step-by-step explanation:

gcf = 3

lcm = 180

let 45 be y

let unknown be X

to get x

X=( lcm * gcf) / y

X=(180*3)/45

X=(540)/45

X=12

the other number is 12

what are two examples of acute angle​

Answers

Answer:

Ex. 45° & 89°

Step-by-step explanation:

Acute angles are angles less than 90°. Therefore, any angle less than 90° will do.

Answer:

acute angles are angles which are less than 90° .

For example . A angle with 50°.

more examples of acute angels are : 78° , 60° , 45° , 30 ° .

hope this helps you

mrk me braniliest

of a loaf of brown bread costs R6, how much will 4 halves cost?​

Answers

Answer:

R12

Step-by-step explanation:

Answer: R12

Explanation:

Cost of 1 loaf = R6

Cost of 4 halves = 6/2×4

= 6 × 2

= R12

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.Part D. Analyze the residuals.
Birth weight
(pounds)
Adult weight
(pounds)
Predicted
adult weight
Residual
1.5
10

3
17

1
8

2.5
14

0.75
5

a. Use the linear regression equation from Part C to calculate the predicted adult weight for each birth weight. Round to the nearest hundredth. Enter these in the third column of the table.

b. Find the residual for each birth weight. Round to the nearest hundredth. Enter these in the fourth column of the table.

c. Plot the residuals.

d. Based on the residuals, is your regression line a reasonable model for the data? Why or why not? ​

Answers

Answer:

Hi there! The answers will be in the explanation :D

Step-by-step explanation:

a) I'll attach a doc for the table so it'll basically answer a and b.

c) I'll also attach the graph.

d) I'm not entirely sure for this question, but I'll do my best to answer it correctly for you. I would say no, because we can see that the residuals are all positive, but the graph we're looking is going down which means it's negative. We can also see the table is increasing a bit so it doesn't really make any sense...

Hope this helped you!

PLEASE HELP

-6/5k = 12

Show your work in details if you can, I have a hard time understanding this.

Answers

[tex] \begin{cases}\large\bf{\green{ \implies}} \tt \: \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: 10 \end{cases}[/tex]

Answer:

k = -10

Step-by-step explanation:

In order to solve for k, we need to isolate the variable. This means we need k to be on one side of the equation by itself.

We are given:

[tex]-\frac{6}{5}k=12[/tex]

The first thing I would do is multiply both sides of the equation by 5:

[tex](5)-\frac{6}{5}k=12(5)[/tex]

This leaves us with:

[tex]-6k=60[/tex]

Now, in order to get k by itself, we need to divide by -6 on both sides:

[tex]\frac{-6k}{-6}=\frac{60}{-6}[/tex]

Therefore:

[tex]k=-10[/tex]

A study of the effects of color on easing anxiety compared anxiety test scores of participants who completed the test printed on either soft yellow paper or on harsh green paper. The scores for five participants who completed the test printed on the yellow paper were 17, 19, 28, 21, and 1 8. The scores for four participants who completed the test on the green paper were 20, 26, 17, and 24. Using the .05 level, test the researcher's prediction that participants should have lower anxiety scores when taking the test on the yellow paper than when taking the test on the green paper. What is the research hypothesis

Answers

Answer:

H0 : μYellow = μGreen

H1 : μYellow < μGreen

Step-by-step explanation:

Let :

Yellow paper = μYellow

Green paper = μGreen

To test the hypothesis :

The null hypothesis is will state that there is no difference in mean of anxiety scores obtained for test taken of yellow and green papers

H0 : μYellow = μGreen.

The alternative hypothesis is the opposite of the null and it is to the left, where we want to test if the anxiety score is lower when take on a yellow paper

H1 : μYellow < μGreen

What is the area of the trapezoid?

Answers

Answer:

A=a+b

2

Step-by-step explanation:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

What is 3x+8x=13+31?

Answers

Answer:

x = 4

Step-by-step explanation:

3x+8x=13+31

Combine like terms

11x =44

Divide by 11

11x/11 = 44/11

x = 4

The answer you are looking for is x=4.

Solution:

3x+8x=13+31

Combining and adding similar terms,

11x=44

Dividing both sides by 11,

So, therefore,

The final answer is x=4.

On a map, the scale shown is 1 inch : 5 miles. If an island is 2.5 squire inches on the map, what is the actual area of the island? The actual island's area is square miles.​

Answers

Answer:

62.5 square miles

Step-by-step explanation:

if the scale is 1 in. = 5 mi, then 1 square in. = 25 square miles

so if 1 in^2 = 25 mi^2

then you make a proportion

25/1 = x/2.5

(the square inches on the bottom and the square miles on top)

solving for x gives you

x=62.5 square miles

Can someone please help with 25 , please put the way you got it. Please no links it’s serious

Answers

Answer:

X * 0.8 = $64

x = $80

Step-by-step explanation:

Piecewise functions alg1

Answers

Answer:

C. 0

Step-by-step explanation:

Since we are finding f(-4), we use the first function since -4 is less than -2.

f(-4) = (-4) + 4 = 0

Therefore, the answer is C.

URGENT PLS HELP! WILL GIVE BRAINLIEST (PICTURE INCLUDED)

Answers

Answer:

1605

Step-by-step explanation:

in a survey survey of 1200 students who have passed SEE 150 like to admit in science Faculty 600 in humanity first and 240 like to admit either of faculties and the rest were found not to be admitted in both faculties​

Answers

Step-by-step explanation:

here is your answer it may help you

There are 700 don't like to admit in both faculties.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

In a survey, survey of 1200 students who have passed SEE 150 like to admit in science Faculty 600 in humanity first and 240 like to admit either of faculties and the rest were found not to be admitted in both faculties​

Hence, not to be admit in any faculty =   N

Science +  Humanity -  Either   + None  = 200

=> 150 + 600 - 240 + N = 1200

=> 750 - 240 + N = 1200

=> N = 700

Hence, 700 don't like to admit in both faculties.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

Which of the following is correctly written in Standard Form? −3x + 7y = 12, y = 3/7x + 6 ,5x − 4y = 9 ,3/7x + 2y =9

Answers

2nd one - y = 3/7x + 6 , hope this helps:)

Instructions: Given the vertex of a quadratic function, find the axis
of symmetry.
Vertex: (5,7)

Answers

Taking into account the definition of axis of simmetry and vertexn the axis of symmetry is x = 5.

So, first of all, you must know what a quadratic function is. Every quadratic function can be expressed as follows:

f(x) = a*x² + b*x + c

where a, b and c are real numbers.

Axis of symetry

The graph of a quadratic function is a parabola. Every parabola is a symmetric curve with respect to a horizontal line called the axis of symmetry.

That is, the axis of symmetry is an imaginary line that passes through the middle of the parabola and divides it into two halves that are equal of each other.

In other words, the axis of symmetry of a parabola is a vertical line that divides the parabola into two equal halves and always passes through the vertex of the parabola.

Vertex

The point of intersection of the axis of symmetry with the parabola is called the vertex.

The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Summary

Being the vertex of the quadratic function (5,7), where the vertex on the x-axis has a value of 5 and on the y-axis a value of 7, the axis of symmetry is x = 5.

Learn more with this examples:

https://brainly.com/question/2799442?referrer=searchResultshttps://brainly.com/question/20862832?referrer=searchResultshttps://brainly.com/question/15266651?referrer=searchResults

Find the remainder when f(x)=x3−4x2−6x−3 f ( x ) = x 3 − 4 x 2 − 6 x − 3 is divided by x+1

Answers

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (x - a), then the remainder of the operation will be given by P(a).

Our polynomial is:

[tex]P(x) = x^3-4x^2-6x-3[/tex]

And we want to find the remainder when it's divided by the binomial:

[tex]x+1[/tex]

We can rewrite our divisor as (x - (-1)). Hence, a = -1.

Then by the PRT, the remainder will be:

[tex]\displaystyle\begin{aligned} R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}[/tex]

The remainder is -2.

Which graph has the solutions -1 and 4?
a.
On a coordinate plane, a parabola opens up and goes through (negative 4.2, 0) and (0, negative 1).
c.
On a coordinate plane, a parabola opens up and goes through (negative 4, 0) and (1, 0).
b.
On a coordinate plane, a parabola opens up and goes through (0, negative 3) and (4.5, 0).
d.
On a coordinate plane, a parabola opens up and goes through (0, negative 1) and (4, 0).



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

graph d

in graph d, the line intersects the x axis twice at (-1,0) and (4,0), so those two are the solutions of the graph

Given the following coordinates complete the glide reflection transformation.


A(−1,−3)


B(−4,−1)


C(−6,−4)


Transformation: Reflection over the x-axis and a translation of shifting right 10 units.

Answers

Given:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

Transformation: Reflection over the x-axis and a translation of shifting right 10 units.

To find:

The image after glide reflection transformation.

Solution:

The vertices of a triangle are A(−1,−3) , B(−4,−1) and C(−6,−4).

If a figure is reflected over the x-axis, then

[tex](x,y)\to (x,-y)[/tex]

Using this, we get

[tex]A(-1,-3)\to A'(-1,3)[/tex]

[tex]B(-4,-1)\to B'(-4,1)[/tex]

[tex]C(-6,-4)\to C'(-6,4)[/tex]

If a figure is shifting 10 units right, then

[tex](x,y)\to (x+10,y)[/tex]

Using this we get

[tex]A'(-1,3)\to A''(-1+10,3)[/tex]

[tex]A'(-1,3)\to A''(9,3)[/tex]

Similarly,

[tex]B'(-4,1)\to B''(-4+10,1)[/tex]

[tex]B'-4,1)\to B''(6,1)[/tex]

And,

[tex]C'(-6,-4)\to C''(-6+10,4)[/tex]

[tex]C'(-6,-4)\to C''(4,4)[/tex]

Therefore, the vertices of the image are A''(9,3), B''(6,1) and C''(4,4).

A basic cellular package costs $30/month for 60 minutes of calling with an additional charge of $0.40/minute beyond that time. The cost function C (2) for using x minutes would be • If you used 60 minutes or less, i.e. if if x < 60, then C (x) = 30 (the base charge). If you used more than 60 minutes, i.e. (x – 60 minutes more than the plan came with, you would pay an additional $0.40 for each of those (x – 60 minutes. Your total bill would be C (x) = 30 + 0.40 (x – 60). If you want to keep your bill at $50 or lower for the month, what is the maximum number of calling minutes you can use? minutes. The maximum calling minutes you can use is ? Number​

Answers

Answer:

The maximum number of minutes to keep the cost at $50 or less is 110 minutes

Step-by-step explanation:

Given

[tex]C(x) = 30[/tex] ---- [tex]x < 60[/tex]

[tex]C(x) = 30 + 0.40(x - 60)[/tex] --- [tex]x \ge 60[/tex]

Required

[tex]C(x) = 50[/tex] ---- find x

We have:

[tex]C(x) = 30 + 0.40(x - 60)[/tex]

Substitute 50 for C(x)

[tex]50 = 30 + 0.40(x - 60)[/tex]

Subtract 30 from both sides

[tex]20 = 0.40(x - 60)[/tex]

Divide both sides by 0.40

[tex]50 = x - 60[/tex]

Add 60 to both sides

[tex]110 = x[/tex]

[tex]x =110[/tex]

Larry made 14 baskets out of 21 attempts in a recent basketball game. If Scott attempted 24 baskets and made the same proportion of baskets as Larry, how many baskets did Scott make?

Scott made
baskets.

Answers

Answer:

16 baskets

Step-by-step explanation:

Create a proportion where x is the number of baskets that Scott made:

[tex]\frac{14}{21}[/tex] = [tex]\frac{x}{24}[/tex]

Cross multiply and solve for x:

21x = 336

x = 16

So, Scott made 16 baskets.

Can someone help me out

Answers

Answer:

π×64×4=804.25

Step-by-step explanation:

Formula of cylinder is π×square of radius×height

Answer:

803.8

Step-by-step explanation:

it's 3.14×8×8×4 which would give you 803.84 and then you round which would give you 803.8

Billy jogs 4/5 kilometer every minute.How many kilometers does he jog after 6 1/8 minutes

Answers

5.4 km

0.8×6

0.8×0.75

4.8+0.6 =5.4

4/5 of a kilometer = 800m

6 1/8 minutes = 49/8 min

Now

800×49/8

= 100×49

= 4900m

= 4.9km

Must click thanks and mark brainliest

Which of the following methods of sampling is an example of a stratified random sample?

A. Randomly choosing a name from a list of names in the population and then choosing every tenth name thereafter.
B. From 500 names of members of a population in a hat drawing 50 names from the hat without looking.
C. Dividing a target population of students by grade level and choosing the first 25 names from each group.
D. Dividing a population of adults into males and females and randomly choosing a sample proportional to the numbers in each group.

Answers

Answer: D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

PLZ ANSWER ASAP
(look at images below, from khan)

Answers

Answer:

D Replace on equation with sum /difference of both equations

The systems are still the same

Step-by-step explanation:

5x + y = 3

4x - 7y = 8

Subtract the second equation from the first

5x + y = 3

-(4x - 7y = 8)

-----------------

x    +8y = -5

The second equation in system B is the first equation in system a minus the second equation in system A

We added the same thing to each side of the equation so the the system is still the same

the best answer would be d

Please help with Question 2b

Answers

Answer:

MUST BE IN HLA, NOT FROM C TO ASSEMBLY.

PROGRAM 6: Same

Write an HLA Assembly language program that implements a function which correctly identifies when all four parameters are the same and returns a boolean value in AL (1 when all four values are equal; 0 otherwise). This function should have the following signature:

procedure theSam

Find the missing side lengths leave your answer as a racials simplest form

Answers

Answer:

x = 20

y = 10

Answered by Gauthmat

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