Consider a normal distribution of values with a mean of 32 and a standard
deviation of 1.5. Find the probability that a value is less than 36.8.


Anyone know?

Answers

Answer 1

Answer: The probability that a value is less than 36.8 is 0.9993.

Step-by-step explanation:

Let X be the random variable that normally distributed.

Given: [tex]\mu=32,\sigma=1.5[/tex]

The probability that a value is less than 36.8 = [tex]P(X<36.8)[/tex]

[tex]=P(\frac{X-\mu}{\sigma}<\frac{36.8-32}{1.5})\\\\=P(Z<3.2)\ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=0.9993[/tex][Using P-value calculator]

Therefore, The probability that a value is less than 36.8 is 0.9993.


Related Questions

Simplify the following fraction 4½-2⅝​

Answers

Answer:

Step-by-step explanation:

4 1/2 - 2 5/8

4 4/8 - 2 5/8 = 1 and 7/8

i mean i guess you could also do this witho ut sol ving

4 4/8 - 21/8 --> 36/8 - 21/8

i dk it's si mplify not solve so here?

I'm working on this equation for my pre-calculus class and I'm stuck. 0.5t = 0.2+ 0.4t

Answers

Answer:

t = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

0.5t = 0.2 + 0.4t

Step 2: Solve for t

[Subtraction Property of Equality] Subtract 0.4t on both sides:                     0.1t = 0.2[Division Property of Equality] Divide 0.1 on both sides:                               t = 2

Find the volume of the pyramid. Round to the nearest tenth if necessary.

Answers

168 yds i’m pretty sure sorry if i’m wrong

Write and solve the equation that represents in the sentence below the product of 18 and a number is 109point statements are correct check all that apply

Answers

Answer:

6 1/18

• There is no sentence below.

• There are no statements to check

Step-by-step explanation:

18x = 109

Divide both sides by 18

x = 109/18

x = 6 1/18

The average number of employees that call in sick for the day over the course of a year is 25. The number of employees that call in sick on 12 days are 25, 10, 16, 39, 27, 25, 32, 25, 25, 22, 28, and 14. Enter the sample mean and the population mean in the boxes

Answers

Answer:

sample mean (x with the bar on top) =24

Step-by-step explanation:

Take the mean of all the number of employees but divide by the number of days size: (25+10+16...)/12=25

population mean (mu) =11.52

The same goes for the other one but divide by the population which is 25

are these correct???

Answers

Answer:

yes

Step-by-step explanation:

Write the equation of the line that passes through
the points (-1,2) and (6, 3) in slope-intercept form

Answers

so if we’re trying to get to y = mx + b we first have to find the slope using the two points using the formula :

m = y2 - y1/x2 - x1

x1 = 6
x2 = -1
y1 = 2
y2 = 3

m = 3 - 2/6 +1
m = 1/7

from this point we now have y = 1/7x + b
all we now need is “b” (intercept) and to find that we’ll plug in one of our given points and solve for b.

3 = 1/7(6) + b
b = 2.14

with the slope and the intercept we have our answer :

y = 1/7x + 2.14

hope this helps !

in a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes. if a child is selected at random, find the probability that the child has blonde hair or brown eyes

Answers

[tex] \frac{14}{35} + \frac{10}{35} - \frac{4}{35} = \frac{4}{7} [/tex]

The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

in a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes.

let, the event be A,

i.e. A = if a child is selected at random, that child has blonde hair or brown eyes.

now, we have,

total no of sample space = 35

probability of blonde hair = 10/ 35

probability of brown eyes = 14/35

probability of both blonde hair and brown eyes = 4/35

so, we get,

probability of  blonde hair or brown eyes = 14/ 35 + 10/ 35 - 4/35

                                                                    = 20 / 35

                                                                    = 4/7

Hence, The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

To learn more on probability click:

brainly.com/question/11234923

#SPJ2

Is ΔABC ~ ΔDEF? Explain. Triangle A B C has angle measures A 18 degrees, B 110 degrees, and C unknown. Triangle D E F has angle measures D 52 degrees, E 18 degrees, and F unknown.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

Triangle ABC has angle measures ...

A = 18°B = 110°C = 180° -18° -110° = 52°

Triangle DEF has angle measures ...

D = 52°E = 18°F = 180° -52° -18° = 110°

Using the angle measures in the order 18, 110, 52, we can write the similarity statement as ...

  ΔABC ~ ΔEFD

The similarity statement given in the problem is incorrect. ΔABC is not similar to ΔDEF.

Solve the equation 4sqrt(3m ^ 2 - 15) = 4

Answers

Answer:

See the image below:)

Step-by-step explanation:

I can only show half of the steps, but these are some of the steps. You can use the app photo math, just take a picture and it will show you the steps and answer.

Answer: c on edge ;)

Step-by-step explanation:

Please help me i gotta get this finished... :P

Answers

Answer:

A) it depends. If they bought 10 calculators, we would multiply 31.25 by 10. 31.25x10=$312.50

B)Divide 500 by 31.25. Since each calculator is $31.25, we divide $500 by it to see how many they can buy with $500. 500/31.25=16

Step-by-step explanation:

*GIVE FREE COOKIE*

My math assignment is due in 15 min pls help with this question

Answers

Answer:

1st quartile: 2.6

2nd quartile or median: 3.1

3rd quartile: 3.25

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIST!

Answers

Answer:

37.5

Step-by-step explanation

your answer is 37.5

What percentage of $250 is $75?​

Answers

To calculate the percentage,

75/250×100 = 30%

Answer:

30%

Step-by-step explanation:

75/250=0.3

0.3= 3/10

3/10=30%

Anyone good at 8th grade math please help out

Answers

Answer:

It should be y = -x + r or y = r - x. To solve for y you would have to isolate y by removing all other variables from y's side of the equation.

Why does 5(x+20) equal 15x? I'm so confused.

Answers

Answer:

Nobody knows its a mistery :'D

Answer:

Because lma/os

Step-by-step explanation:

5 ( x + 20 )

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

1. Simplifly

2. Distribute

3.  5 ( x + 20 )

     5 x + 100

True or false diagonals of rectangle are equal

Answers

Answer: A rectangle is a quadrilateral in which all angles are right angles. A rectangle is a parallelogram, so its opposite sides are equal. The diagonals of a rectangle are equal and bisect each other.

Step-by-step explanation:

What is the value of x?

Answers

x = 6 × 12/8

x = 6 × 3/2

x = 3 × 3

x = 9

........the value of x=9

find the hcf and the lcm of these for 10 points plz

Answers

Answer:

LCM of 64 and 94= 3008

HCF of 64 and 94= 2

Step-by-step explanation:

Do a venn diagram with the prime factors of 64 on the left, and the prime factors of 94 on the right. If they have the same factors put them in the middle of the venn diagram. Then you multiply everything in the diagram and get the LCM. The HCF is found by multiplying the factors in both lists which is only 2.

What is the area of the figure below?
:8 in.
21 in.
A 84 in2
B 160 in?
C 168 in2
D 336 in?

Answers

Answer:

The answer is C. 168 in^2

Step-by-step explanation:

(Area = Base x Height)

21 * 8 = 168

A camera company sells two types of Point and Shoot cameras. Model A costs $150 and Model B costs $225. If the company sold 22 cameras for a total $3900 last month, how many of each model were sold? PLEASE HELP ASAP!!

Answers

Answer:

A=14 and B= 8

Step-by-step explanation:

the equation systems:

150A + 225B = 3900

=> 6A + 9B= 156 .... (1)

A + B = 22 ..... (2)

<=> 6A + 9B = 156

6A + 6B = 132

_____________-

3B = 24

B= 8 and A = 22-8 = 14

how do you solve the problem 2p = 60 ​

Answers

you have to separate the 2 and p so divide 60 by 2 which will leave p=30 and now if you plug it in you see 2 times 30 equals 60 :)

15. Find the rate of change

Answers

The answer is -3/2
#1 x and y have equal rates of change
#2 y has the greater rate of change.
#3 clearly y changes faster. Heck, they told you that in just so many words.
#4 ok
#5 you gave the values for y=x^2
But the function was y = x^2-3


Given Limit of f (x) = 6 as x approaches 1. What is Limit of left-bracket 5 f (x) right-bracket as x approaches 1? 5 6 11 30

Answers

Answer: D. 30

Step-by-step explanation:

Edge 100%

Answer:

the answer is d on edge

Step-by-step explanation:

What is the slope intercept form of this line?

Answers

Answer:

y = 1/4 x - 2

Step-by-step explanation:

y = mx + b

m = 1/4 *rise/run --> rises 1 square then runs 4 squares to the left indicating it's positive

x = x

b = y-intercept --> (0,-2) --> -2

In how many different ways can the letters in the word PAYMENT be arranged if the letters are taken 6 at a time?

A. 5040
B. 42
C. 2520
D. 7

Answers

Answer:

D.

Step-by-step explanation:

7

PAYMENT

1234567

THERE ARE 7 ELEMENTS

pls help anyone!! i don’t know the answers :(

Answers

Answer:

36 Times

Step-by-step explanation:

If there is 10 fruits and 3 of them are pears

10x 12= 120

3x12 = 36

Answer:

Step-by-step explanation:

all the fruits are 10

the pears are 3

probability of picking a pear is 3/10

out of 120 times the pear may be picked 120*(3/10) = 36 times

What is the surface area of the prism?

Answers

Step 1: Find the area of the bases (triangles)

A = 1/2 * base * height

A = 1/2 * 16 * 6

A = 48

48 + 48 = 96

Area of the triangles = 96 cm^2

Step 2: Find the area of the sides (rectangles)

A = base * height

A1 = 16 * 12

A1 = 192

A2 = 10 * 12

A2 = 120

120 + 120 = 240

240 + 192 = 432 cm^2

Step 2: Add the areas together

96 + 432

528 cm^2

Hope this helps!! :)

Need help with question?

Answers

Answer:

150

Step-by-step explanation:

15 times 8 = 120

14-8 = 6

6 times 5 = 30

150

Ooh yes I love answering these

First, you have to find the area
15 x 8 = 120
6 x 5 = 30
Add : 150
So the answer is A

10. (05.05 LC)
Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality: (5 points)
Y
The origin is not included in the shaded region and the shaded area is above the line.
O The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.

Answers

Answer:

c

Step-by-step explanation:

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