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 = 0.022

Step-by-step explanation:

Draw a normal distribution curve

Find the z score.

z score = 0.12

Find the probability for the z score.

P = 0.478

Subtract probability from 0.5

0.5 - 0.478 =0.022


Related Questions

HELPPPP PLEASEEE ASAPPPPP

Answers

Answer:

Step-by-step explanation:

PQRS

PQ + QR + RS + PS = 186

RS = SP - 7

PQ = RS = x - 7

QR =  PS = x

2x + 2(x - 7) = 186

4x = 200

x = 50

PQ and RS = 43

QR and SP are 50

the answer is 43 & 50 ^^

A construction crew has just finished building a road. The crew worked for 2 4/5 days. If they built 3 2/7 kilometers of road each day, what is the total length of road they built?

Answers

harjot Singh answer hai bro

I NEED HELP ASAPPP!!!


PLEASE HELP MEEE

Answers

C (1,3)


.............
C:1/3 hope this helps gl:)

Solve x2 – 8x + 15 < 0.

Select the critical points for the inequality shown.

Answers

Answer:

x=3,5

Explanation:

x2−8x+15=0

Try to express the terms of the equation in square form.

Adding 16 both sides of the equation,

(x2−2⋅x⋅4+42)+15=16

or,(x−4)2+15−16=0

or,(x−4)2−1=0

or,(x−4)2−12=0

This is the a2−b2=(a+b)(a−b)form.

(x−4+1)(x−4−1)=0

or,(x−3)(x−5)=0

Now, equate both the terms to zero since both of them when multiplied, give zero.

Either,

x−3=0

∴x=3

Or,

x−5=0

∴x=5

Ans:x=3,5 Hope this helpsXD...!!

Answer:

3<x<5

Step-by-step explanation:

an Univariate quadratic polynomial can be divided into the product of two first order equations

In this example, x2 - 8x + 15 =  (x-3) * (x-5) <0

as a result. the answer is 3< x <5

Multiply (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19). Express the answer in scientific notation.

3.6 ⋅ 10^9
3.6 ⋅ 10^10
36 ⋅ 10^9
36 ⋅ 10^10

Answers

Answer:

3.6 • 10^9

Step-by-step explanation:

Through multiplying, we get 3,600,000,000

The number divided by 10^ 9 = 3.6

Therefore the Answer is 3.6 × 10^9

In ΔGHI, the measure of ∠I=90°, the measure of HI=47 Feet, and IG = 93 feet. Find the length of ∠G to the nearest degree​

Answers

Answer:

27.0

Step-by-step explanation:

Tan G= opposite/adjacent=47/93

Tan G=47/93

G=tan ^-1(47/93)

G=26.811~26.8 degree

G=26.811 and/or 26.8

Look at the picture please!!!!

Answers

Answer:

Angle 1: 131

Angle 6: 49

Answer:

m∠1 = 131º

m∠6 = 49º

Step-by-step explanation:

So we know that a straight line is equal to 180º and we already know the measure of angle 8 (49º) so to find the measure of angle 7, we just subtract 49 from 180.

180 - 49 = 131

So m∠7 = 131º

Now because of the alternate exterior angle rule, we can now find out that m∠7 is the same as m∠1

Now for the measurement of angle 6, we know that it's 49º because of the vertical angles rule.

Evaluate: 2! + (8 - 3)!

Answers

Answer:

122

Step-by-step explanation:

2! = 2

(8-3)! =

(5)! = 120

2+120 =122

You walk 2/5 miles to a clothing store. Then you walk another 1/2 miles to a music store. How many miles have you walked in all?

Answers

Answer:

9/10ths of a mile. Or 0.9 miles.

Step-by-step explanation:

To get the total it's helpful to look at it in decimals:

2/5 mile = 0.4 miles (1 mile divided by 5 = 0.2 miles, times that by 2)

1/2 mile = 0.5 miles

Add them together = 0.9 miles.

Which is 9/10ths of a mile.

The total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.

It is given that you walk 2/5 miles to a clothing store and then walk another 1/2 miles to a music store.

We have to find out the total distance in miles that you have walked.

What do you mean by fractions ?

A fraction can be defined as a portion or part of any quantity or it defines a part of a whole.

As per the question ;

You walk 2/5 miles to a clothing store

and

then ; walk another 1/2 miles to a music store.

To find out the total distance walked by you in total , we need to add both the distances given in the question.

i.e.,

Total distance will be ;

= [tex]\frac{2}{5}[/tex] + [tex]\frac{1}{2}[/tex]

= [tex]\frac{4+5}{10}[/tex]

= [tex]\frac{9}{10}[/tex] miles

or

= 0.9 miles

Thus , the total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.

To learn more about addition of fractions click here ;

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If x= time in minutes, y= distance in miles, and y=1/6x. How far can you run 5 points
in 3 hours? Please please help

Answers

Answer: 30 miles

Step-by-step explanation:

3 hours is 180 minutes.

y=1/6(180)

y=30 mi

ANSWER PLEASE !!!!! I NEED IT NOW!!

Answers

it would look like this :) it’s rise over tun meaning you go up 2 and you move to the right 5 :)

Marsha initially deposited $98,232 into her checking account in January. She deposited $14,443 into her account at the beginning of every month starting in February. About how much money will she have at the end of April?

Answers

Equation = 14,443x + 98,232
February till April = 3 months
14,443(3) + 98232 = $141,561

First we have to subtract 14,443 from 98,232 since deposit means take out. Now that would become 83,789 so that would continue from Feb to April that would be about 3 times so we have to keep subtracting 14,443 or just do 14,442 since we have to do this 3 times and then subtract 98,232 from 43326(the answer from 14,442*3)  and we get 54906 as our final answer!

bill gates receives weekly income of $42,000 plus 1.5% of all computer sales. last weeks sales were $2,500,000.00 How big was his check? *

A. 155000
B. 43000
C. 79500
D. 86400​

Answers

Answer is C

42000+(2500000.00•0.015)=79500

a class of 40 pupils 2.5 of them are boys how many are girls​

Answers

Answer: 24 girls


Explanation:

1+1 explain in ironically amazing detail!​

Answers

Okay, in my opinion, 1+1 = 11

Because if you just remove the addition sign, you get 11!

It’s very simple and easy

However, 1+1 may equal 22 as some add the two ones together to get 2, and 2!

Ik I’m a jeenyus, you don’t need to remind me

Loll
1 plus 1 equals 2. Duh.

I need help with it problem

Answers

Answer:

I think 4y M 8x L 8x K 8y J??

Step-by-step explanation:

I'm not sure but I am going to learn this so I can become better at it.

4.
(03.01 MC)
Which expression is equivalent to 56 + 21? (1 point)

7(49 + 14)
8(7 + 21)
8(48 + 13)
7(8 + 3)

Answers

It’s gonna be 7(8+3) you use distributive property so it’ll be the same as 56+21

A rectangular window is 4ft long and 3ft wide what is the area in square inches

Answers

Answer: 12 inches squared

Step-by-step explanation: 3x4

Answer:

1728 inches

Step-by-step explanation:

Convert each measurement to inches:

1 foot = 12 inches4 ft = 12 × 4 = 48 inches3 ft = 12 × 3 = 36 inches

Find the area:

48 × 36 = 1728

I hope this helps!

PLEASE HELP ME ASAP!! THANK YOU

Answers

Answer:

The slope is m=-1

Step-by-step explanation:

ind the slope and y intercept of -9x+3y=5

Answers

Answer:

first, you need to get y on one side. So, because the x is negative it becomes positive when you switch it to the other side. 3y= 9x+5. You then need to divide all parts by 3. 3/3= 1 so thats just y. 9/3 is 3 so thats 3x. then 5/3 is a fraction that you can write as just 5/3 or 1 and 2/3. That would leave you with y= 3x + 5/3. Then x (3) is your slope. and what you add to it (5/3) is your y int.

The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?

2 units
6 units
Square root of 12 units
Square root of 20 units

Answers

Answer:

its 6 units

Step-by-step explanation:

Answer:

Square root of 20

I really hope i'm right sorry in advanced if i'm not

Subtract. (29v)−(−13v+59)

Answers

Answer: 42v-59

Step-by-step explanation:

Combine like terms

29v- -13v= 42v

The negative sign turns 59 into -59

The value of the equation is A = 42v - 59

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 29v ) - ( -13v + 59 )   be equation (1)

On simplifying the equation , we get

A = 29v - ( -13v ) - 59

On further simplification , we get

A = 29v + 13v - 59

The value of A = 42v - 59

Therefore , the value of A is 42v - 59

Hence , the equation is A = 42v - 59

To learn more about equations click :

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A cereal box has 30% more cereal in its new box. The original box held 33.5 ounces. How much cereal does the new packaging hold?

Answers

Answer:

43.55 ounces

Step-by-step explanation:

30% of 33.5 would be 10.05, since the new box is 30% more, you add the 10.05 to the original 33.5

Write the equation of a line perpendicular to y=-5x that passes through the point (1,1) in slope intercept form. (This question is worth 2 points. One point for the correct slope and the second point is for the correct y intercept.)

Answers

Answer:

y= 1/5x + 0.8

Step-by-step explanation:

Hope this helps

What is the value of x?

Answers

Value of x is 10 duhhhhhh

Answer: the letter x is often used in algebra to mean a value that is not yet known. It is called a variable or sometimes an unknown. In x + 2=7, is a variable, but we can work out it's variable if we try!

Step-by-step explanation:

I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?

Example: 110=2∙5∙11. Factors of 110:1, 2, 5, 11, 2∙5, 2∙11, 5·11, 2∙5∙11.

Problem : 1001=7∙11∙13

Answers

9514 1404 393

Answer:

  18

Step-by-step explanation:

Only 1 and 2 will have single-digit cubes. Only 1^3 will still be a single digit after 7 is added. The tens digit must be 1, and the units digit must be 1+7=8.

The number is 18.

a square of side 2cm​

Answers

Answer: A square of 2cm sides has a perimeter of 8, and an area of 4.

Step-by-step explanation:

Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years. a. Calculate a 95% two-sided confidence interval on the death rate from lung cancer. b. Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03

Answers

Answer:

a. The 95% confidence interval is 0.799<p<0.847

b. The sample size n is 622

Step-by-step explanation:

A

P^ = 823/1000

= 0.823

At 95% confidence interval

P^ +- z-alpha/2√p^(1-p^)/n

z-alpha/2 = 1.96

When we insert values we get:

0.823+-1.96√0.823(1-0.823)/1000

= 0.823+-1.96√0.000145671

= 0.823+-1.96(0.012069)

= (0.8467, 0.7993)

The 95% confidence interval is 0.799<p<0.847

B.

We are to compute the sample size here.

The formula and full calculation has been done in the attachment.

4268.4x0.145671

= 621.78

= 622

n = 622

Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)

Answers

Answer:

A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Step-by-step explanation:

Given:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Required:

Find an equivalent polynomial

Solution:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Using distributive property of multiplication

2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)

-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸

There are no like terms to add or combine, therefore:

(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Answer:

-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8

Step-by-step explanation:

I took the test

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
b
How many hours would it take to fill the order if the number of working machines increased by a factor of 2?

Answers

Answer: 11 hours

Step-by-step explanation:

22/2 = 11

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