A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

Answers

Answer 1

Answer:

0.57142

Step-by-step explanation:

A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

We are told that the Mean and Standard deviation = 10°C

We convert to Fahrenheit

(10°C × 9/5) + 32 = 50°F

Hence, we solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 59 °F

μ is the population mean = 50 °F

σ is the population standard deviation = 50 °F

z = 59 - 50/50

z = 0.18

Probability value from Z-Table:

P(x ≤59) = 0.57142

The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit

is 0.57142


Related Questions

a.
A bicycle helmet cost $41.40 in 1983. What will a bicycle helmet cost when the CPI is 1869 Round to the nearest cent.
$222.58
b. $144.60
C. $77.00
d. $72.30
Please select the best answer from the choices provided
A
B
D
Mark this and return
Save and Exit
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Submit

Answers

Answer:

✅ C. $77.00

edgen

The price of the bicycle helmet cost at the time when CPI is 186 is $77.

What is consumer price index?

The tool used to gauge inflation is the consumer price index (CPI). It is used to calculate the typical difference in pricing of household goods between two specified periods. It is an overall assessment of product pricing trends while maintaining quality.

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

CPI = consumer price index in current period

[tex]C_t[/tex]  = cost of market basket in current period

[tex]C_0[/tex]  = cost of market basket in base period

Then, we have:

CPI = [tex]C_t[/tex] / [tex]C_0[/tex] x 100

So, 186 = [tex]C_t[/tex] / 41.4 x 100

[tex]C_t[/tex] = $77

Learn more about consumer price index here:

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Solve the equation for m: m-n=5

Answers

Answer:

m=n+5

Step-by-step explanation:

You just add n on both sides to get m because m is isolated on one side and variables and numbers on the other side of the equal sign.

Answer:

m=n+5

Step-by-step explanation:

m-n=5

add n on both sides

m=n+5

Help me please please

Answers

Answer:

Hold a sec I got this

Please help and leave a small explanation!

Answers

The answer is C because A and X are in the same place.
C because the angles match up together. Triangle ABC congruent to triangle XYZ. angle A = angle X, angle B is congruent to Y, angle C is congruent to Z. They match up. The vertex’s (B &Y are congruent) because they are both vertex’s. I hope this makes sense.

72.678 round to nearest whole number

Answers

Answer:

The answer is 73

Step-by-step explanation:

Searched it up lol. Hope this helps tho!

Answer:

78

Step-by-step explanation:

THE NUMBER BEHIDE THE DECIMAL IS over.500

7x-y=3 for y (please show work)

Answers

Answer:

y= -3+7x

Step-by-step explanation:

7x-y=3 for y

Move variable to the right

-y+3-7x

Change the signs

y= -3+7x

plz help me out quick​

Answers

Answer:

6/5

Step-by-step explanation:

because there is 6 triangle and 5 circle

Use two formulas for volume to find the volume of the figure. Express the answer in terms of x and then round to nearest whole number.

Answers

Answer:

Volume of the figure = 341.3π + 1,280π = 1,621.33π

Volume of the figure to the nearest whole number = 1,621π m³

Step-by-step explanation:

The figure shown is composed of a hemisphere and a cylinder.

The volume of the figure = volume of hemisphere + volume of cylinder

Volume of the hemisphere = ⅔πr³

Radius (r) of hemisphere = 16/2 = 8 m

Volume of hemisphere = ⅔*π*8³ = ⅔*π*512 = 341.33π m³

Volume of Cylinder = πr²h

radius (r) = 16/2 = 8 m

height (h) = 20 m

Volume of cylinder = π*8²*20 = 1,280π m³

Volume of the figure = 341.3π + 1,280π = 1,621.33π

Volume of the figure to the nearest whole number = 1,621π m³

Please answer, 50 points and I gotta finish this test
What is the radical in simplest radical form? Please show all steps
sqrt 5/8 (Square root, 5 out of 8 as a fraction)

Answers

The square root of 8 in radical form is represented as √8 which is also equal to 2√2 and as a fraction, it is equal to 2.828 approximately. Squares root of a number is the number, which, on multiplying by itself gives the original number. Since 8 is not a perfect square, hence the value is represented in root form.

The drawing below shows part of an inch ruler. Each inch is broken into smaller pieces to measure more accurately than whole inches. Label each mark on the ruler with the correct fraction

Answers

This is 14 because it shows how to do this problem form elf to right

sorry that im asking back to back!!!!

Answers

Answer:

i love ur pfp of bad bleep just wanted to say

Step-by-step explanation:

PLSSSS JUST SOLVE IT WITH THE INSTRUCTION IT GIVES PLSS THANK YOU

Answers

Answer:

area=47cm²

Step-by-step explanation:

Principal = $500 Interest rate =5% Time = 5 years What is the interest earned?​

Answers

Answer:

125dollars

Step-by-step explanation:

follow me say a thanks mark me branliest

Find the length of the missing side. The triangle is not drawn to scale.

Answers

Answer:

c = 10

Step-by-step explanation:

To find the hypotenuse of the triangle you would do the value of leg^2 + leg^2 to find the hypotenuse. Or you can look at it like a^2 + b^2 = c^2. But in order to get the value you would have to find the scare root of c^2.

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

In this case though we are doing 6^2 + 8^2 which equals 100. After calculating that we know c^2 power equals 100. So know you have to find the actual value of c by itself to get your hypotenuse. So we would find the square root of 100 which is 10. Hope this helps!!

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

Important words

Hypotenuse - In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Cathetus (legs of triangle) - Either of the sides that are adjacent to the right angle.

Find the unit rate. Round to the nearest hundredth, if necessary.

$340 for 18 ft2

Answers

Answer:

18.89

Step-by-step explanation:

340/18=18.8888

18.888 to the nearest hundredth is 18.89

Principal=$100 rate=5% years=3 what is the interest?

Answers

Answer:

Interest would be $15 every 3 years

Step-by-step explanation:

Interest = Principal x Rate x Time

Interest = 100 x 5% x 3

Interest = 5 x 3

Interest = 15

Need help with this problem please! I believe it is b but I get a different answer everytime I redo it!

Answers

Answer:

no u right its b

Step-by-step explanation:

can you solve 5x = -25





Answers

Answer:

x=-5

Step-by-step explanation:

Divide by 5 on both sides and you get x=-5

Hope this helps mark brainliest if correct

Which of the following statements best describes the role of oxeans in the formation of hurricanes?
A: Warm air masses over equatorial regions rise more quickly than air masses over polar regions.
B: Warm , moist air above warm , tropical ocean waters provides the energy that drives storm systems.
C: Cool air masses over polar regions are more dense than air masses over equatorial regions.
D: Cool, dry air above cool , tropical ocean waters provides the energy that drives storm system's.

Answers

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love

Step-by-step explanation:

I need your knowledge.

Answers

Answer:

det(2*3) also det(6)

Step-by-step explanation:

this is just filler so I can send it

10 7 70 28 A. 7,028 + 7 = 1,004 B. 98 + 7 = 14 C. 728 + 7 = 104 D. 2,870 + 7 = 410 1​

Answers

Answer:

umm are u adding this?

Step-by-step explanation:

can someone help my lil sister

Answers

Answer:

y=5.79x

Step-by-step explanation:

What you'll first do it divide both sides by y

So, y/y =5.79x/y

so the answer for question 1 is going to be 5.79xy.

If this is from the textbook, use slader. it might help you better than me.

Now do the same thing for the second one.

Be safe guys!:)

Answer:

took the test y=5.79x

Step-by-step explanation:

You are given that angle YZW and asked ZYX are right angles. What additional piece of information allowed you to prove that triangle WYZ is congruent to triangle XZY? ​

Answers

Answer:

e

Step-by-step explanation:

if there are 1 ,200 calories in 8 oz of hot fudge, how many calories are in 3 caloz of hot fudge?

Answers

Answer:

450!

Step-by-step explanation:

1200/8=150

150x3-450

You need to make at least 360 wraps for a party. You can make 9 wraps per minute.

How long will it take you to make the number of wraps you need?
In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.

Answers

Answer:

40 minutes

Step-by-step explanation:

What the person above/below me is saying, is you have to divide 360 and 9, to find x! X=40, 360/9=40! That's what they mean. I hope this helped you understand their answer!

It will take 40 minutes for me to make the 360 wraps that I need.

9x ≥ 360 ⇒ x ≥ 40

Step-by-step explanation:

I have to make at least 360 wraps for a party.

I can make 9 wraps per minute.

So, it will take minutes for me to make the 360 wraps that I need.

If I work for x minutes to make wraps, then I will be able to make 9x wraps.

So, the inequality that models the given condition is

9x ≥ 360

⇒ x ≥ 40 {Dividing both sides by 9}

Therefore, I need to work at least 40 minutes to reach my goal. (Answer)

Ray SP bisects m∠RST. If m∠RSP = 3x – 2 and m∠PST = 9x -26 Answer: Find: m∠RST=Find:m∠RST

Answers

Answer:

irrational

Step-by-step explanation:

What is the distance between 0.6 and 0

Answers

the answer would most likely be .6

Answer:

on the number its between 0 and 1

Step-by-step explanation:

if you jump from 0 to 6 you would have 6 jumps, so it would be 6.

0.6 equals 0.60 so it could ALSO be 60 jumps. (incase u needed that)

Clancy has 4 2/3 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 3/4 of a cup.

Write a multiplication equation to determine the number of people, p, who can be invited to the party.

Answers

Answer:

4 2/3 divided by 3/4 = p

Step-by-step explanation:

whatever the answer to the equation is the amount of people able to be invited

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].

The number of people that can be invited to the party is 6 people.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 6 = 7 is an equation.

We have,

Amount of cups of yogurt Clancy have = [tex]4\frac{2}{3}[/tex]

Amount of cups of yogurt each person received = 3/4 of a cup

The number of people p that can be invited to the party:

3/4 p = [tex]4\frac{2}{3}[/tex]

3/4 p = 14/3

p = 14/3 x 4/3

p = 56/9

p = 6.22

p = 6

Thus,

The multiplication equation to determine the number of people, p, who can be invited to the party is 3/4 p = [tex]4\frac{2}{3}[/tex].

The number of people that can be invited to the party is 6 people.

Learn more about equations here:

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Could someone please help me with these 2 questions?

Answers

Answer:

#1 -5

Step-by-step explanation:

Which expression is the best result of factoring the expression below by taking out its greatest common factor 8x^2-24

Answers

Answer:

8(x^2-3)

Step-by-step explanation:

I used a math app

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