A population of values has a normal distribution with μ=152.8 and σ=26.2 . You intend to draw a random sample of size n=94 . Find the probability that a single randomly selected value is less than 149.6. P(X < 149.6) =

Answers

Answer 1

Answer:

P(x < 149.6) = 0.11821

Step-by-step explanation:

We start by calculating the z-score of the parameter given

Mathematically,

z-score = (x-mean)/SD/√n

z-score = (149.6-152.8)/26.2/√94

z-score = -3.2/2.70

z-score = -1.18

So the probability we want to calculate is;

P( x < -1.18)

we can use the standard normal distribution table to get this

From the standard normal distribution table, this value is 0.11821


Related Questions

plsssssssssssssss help​

Answers

Answer:

(D). (8, - 5)

Step-by-step explanation:

Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)

Coordinates of the midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

(x² - 10x + 25) + (y² + 2y + 1) = 25

(x - 5)² + (y + 1)² = 5²

(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)

5 = (2 + x) / 2 ⇒ x = 8

- 1 = (3 + y) / 2 ⇒ y = - 5

(D). (8, - 5)

Find the value of c that completes the square

x^2-16x+c

Please help me with how to do this, and show me. Thank you.

Answers

Answer:

The value that completes the square is: c=8

Step-by-step explanation:

Find the value of c that completes the square  [tex]x^2-16x+c[/tex]

The formula used is: [tex]a^2-2ab+b^2=(a-b)^2[/tex]

In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,

2(x)(8) = 16x

so, c= 8

Solving:

[tex]x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64[/tex]

So, the value that completes the square is: c=8

The cost of 3 scarves is $72.75. What is the unit price?

Answers

Answer:

$24,25

Step-by-step explanation:

72.75 ÷ 3 = 24,25

Can someone check this for me! I am not sure if I did this right

Answers

9514 1404 393

Answer:

  8 seconds

Step-by-step explanation:

Your answer is the time interval at which the projectile is at or above ground level.

The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.

__

Comment

We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.

Type the correct answer in the box. Use numerals instead of words.

Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.

Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.

Answers

Answer:

22% because her taxable income will now be 40,000 dollars

Step-by-step explanation:

Answer:

15% Plato

Step-by-step explanation:

The ratio between the number of red and green marbles in a box is 3:7. How many marbles are in the box if there are 20 fewer red marbles than green marbles?
I need this ASAP!

Answers

Answer:

50 marbles

Step-by-step explanation: The difference between the ratio of the red and green marbles is 4 units and the number value is 20 so its safe to say that 4 units is equal to 20 and thus one unit is 5 and because of the fact that there is a total of 10 units of marbles in the box according to the ratio, just multiply 5 and 10 which you get 50.

4 units = 20

1 unit = 20÷4 = 5

Total = 10 units

10 unit = 5 ×10 = 50

Ans : 50 marbles

Calculate the slope of the line passing through the points (4, 7) and (9, -1).

Answers

the answer is -8/5

ur welcome lolz

Answer:

The slope is -1.6

Given the information in the diagram, which theorem
best justifies why lines e and f must be parallel?
оооо
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
O converse of the same side interior angles theorem

Answers

Answer:

the answer is D

Step-by-step explanation:

edu 2021

Please help due in 5 min

Answers

Answer: 4 UNITS LEFT!!!

Step-by-step explanation: I know it!

Please give me brainiest

Hope I helped :)

4 units left of the x-y plane

Find the values of and y.

Answers

Answer:

Step-by-step explanation:

2y = 58

y=58/2

y = 29

58 + 2x = 180

2x = 122

x = 61

PLZ HELP!!!!!!!!!!!!!!!!! LOTS OF POINTS!!!!

There are 6 racers who went on a 25 meter race!!
X=time in seconds
Y=distance in meters

1) The winner race D (line purple) won the race in 9.6 seconds! Equation for line y=2.5x+1
How fast was this person traveling? Write in unit rates

2) what would the graph look like if one of the riders fell off their tricycle

Answers

Answer:

0u09u0u

Step-by-step explanation:

8

find the coordinates of the circumcenter of the triangle below

Answers

(2,2) (6,2) (6,8) Hope this helps I’m pretty sure this is correct :)

Mr. Lopez went on a bike ride. Every time he stops to drink water, his bike ride takes 3
minutes longer. If he stops to drink water 6 times, how much longer does his bike ride
take? (Input the number only for your answer)

Answers

Answer:

18

Step-by-step explanation:

6 breaks x 3 minutes each

= 18 minutes

what value of x makes the equation true ?

Answers

Answer:

x = -7

Step-by-step explanation:

You have to set up an algabraic equasion

2x + 3 = x - 4

-7 = x

Help PLEASE HELP IT FOR MY LOTTLE SIS AND I stink at math soHELP!!

Answers

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

All the fractions can simplify to 2/3

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

Step-by-step explanation:

re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.      

Find the circumference a circle with the diameter AB

A (-8,4) and B (4,-1)

Answers

Answer:

C = 13π ≈ 40.82 units

Step-by-step explanation:

C = 2 r π = d π

AB = [tex]\sqrt{(-8-4)^2 +(4+1)^2}[/tex] = 13 units

C = 13π ≈ 40.82 units ( π ≈ 3.14 )

i am in need of help

Answers

Answer:

(in the image)

Step-by-step explanation:

for the slope one - both triangle a and b have a slope of 5/3 (b's goes from 15/9 to 5/3 because of simplifying)

for the second one - 5/3=15/9 because the sides of both triangles correspond

My Answer to that:

5 - 3= 15 - 9 (Statement)- 5/3 = slope (Reason)

Definition of slope (Statement) - triangle A is similar to triangle B (Reason)

- sorry if wrong but that is the answer I would put

Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

14

Step-by-step explanation:

Help it’s an easy question I’m just dumb please help me!

Find the x-intercept of the rational function.

A. (0,-2)
B. (-2,0)
C. (0,5)
D. (5,0)

Please explain how you got your answer. Thanks

Answers

Answer:

c

Step-by-step explanation:

c i think

The x-intercept is where the graph touches the x-axis. From the picture you sent, it’d be (6,0).

What is an equation of the line that passes through the points
(4,-8) (-4,2)

Answers

Y=Mx+B

(4,-8), (-4,2)
X1 y1 x2 y2

2-(-8)/-4-4= 10/-8 dived by 2
=5/-4 or -5/4
M=-5/4
(M is slope)

A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?

Answers

Answer:

2450 J

Step-by-step explanation:

mass(m)=25kg

height(h)=10m

gravity(g)=9.8

now,

PE=mgh

=25×10×9.8

=2450J

ANS

What is the measure of angle A'B'C?
20 Degrees
40 degrees
60 degrees
80 degrees

Answers

Answer:

40 degrees

Step-by-step explanation:

Answer:

40 degree because of common angle.

What is the sum of all integers that are multiples of 4 from 1 to 150? *Show your solution*

Answers

There's a pretty simple formula to follow: count of multiples [tex]*[/tex] average of the multiple.

To find the average, we take the smallest multiple of 4 which is in the range of 1 and 150 which is 4 of course. And the largest would be 148 since that's the only number in the range. So now average them: [tex]\frac{4 + 148}{2} = \frac{152}{2} = 76[/tex]

Now we find the count of the multiples which is in the range of 1 to 150. To do that, we use this formula:

[tex]\frac{\text{largest multiple} - \text{smallest multiple}}{n} \\[/tex]

Here, [tex]n[/tex] is 4 so this would be:

[tex]\frac{148-4}{4} = \frac{144}{4} = 36[/tex]

This would give you the exclusive count of all the numbers, but we want the inclusive count so, we simple add 1 so the count would be [tex]37[/tex]

Now following the 1st formula we get: [tex]37 * 76 = 2812[/tex]

So the answer would be 2812! :D

And here's the check too:

help mesothelioma this pleaseeee

Answers

For this question I think the answer would be a :)

Find the values of X and Y.

Answers

Answer:

They are axis so it would be 6 for x and 15 for y

Step-by-step explanation:

HELP ASAP !! NEED ANSWERS !!!

Answers

Answer: 180 degrees clockwise

Step-by-step explanation:

BRAINLIEST
PLS HELP ASAP IM FAILING

Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4.6), and D(2,2). If it is
reflected over the x-axis, what are the coordinates of B'? (Answer as an ordered pair without spaces)
pair without spaces)

Answers

Answer:

B' (0,-4)

Step-by-step explanation:

When a point undergoes a reflection across the x-axis, it follows this transformation:

(x, y) --> (x, -y)

(0, 4) --> (0, -4)

this 5th question ...please answer ​

Answers

Answer:

Im 47 and i have no idea

Step-by-step explanation:

thanks for 5 points

3(x+5)-10 = -2(x+10)

Answers

Answer:

x=−5

Step-by-step explanation:

calculator

URGENT HELP PLEASE


Using the proof above, what is the reason for statement 6?

Answers

Answer:

ASA

Step-by-step explanation:

hope it helps ;)

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