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Over [174]
2 years ago
6

Find the hypotenuse of a right triangle with side lengths of 4 and 13. Round your answer to one decimal place.

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
6 0

Answer:

c≈13.6

Step-by-step explanation:

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The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with a mean of 6.7
hram777 [196]
We need to work out the z-value of each question to work out the probability

Question a)

We have
X = 5 minutes
The mean, μ = 6.7 minutes
Standard deviation, σ = 2.2 minutes
z-score = (X - μ) / σ = (5 - 6.7) / 2.2 = -0.77

We want to find the probability of z < -0.77 so we read the z-table for the value of z on the left of -0.77 we have the probability P(z< -0.77) = 0.2206

The table is attached in picture 1 below

The probability of assembly time less than 5 minutes is 0.2206 = 22.06%

Question b)

z-score = (10-5) / 2.2 = 2.27

Reading the z-table for P(z<2.27) = 0.9884
The table reading is shown in the second picture below

The probability the assembly time will be less than 10 minutes is 0.9884

We can use this information to find the probability of the assembly time will be more than 10 minutes  = 1 - 0.9884 = 0.0116 = 1.16%

Question c)

The value of z between 5 minutes and 10 minutes is

P(-0.77<z<2.27) = P(z<2.27) - P(z< -0.77)
P(-0.77<z<2.27) = 0.9884 - 0.2206 = 0.7678 = 76.78%


6 0
3 years ago
Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teac
IrinaK [193]

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

<u>To calculate the Future Value, we need to use the following formula:</u>

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

<u>For example, for one year:</u>

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

8 0
2 years ago
Mr. K cooked down 2 pumpkins yesterday. He did this to make pumpkin pies for Thanksgiving. He was able get 30.5 cups of pumpkin.
Tasya [4]
He can make 17 pies and here are the steps :)

6 0
2 years ago
10. fossils are found only in _____. sedimentary rocks intrusive igneous rocks metamorphic rocks extrusive igneous rocks
Rashid [163]
Fossils are only found in sedimentary rocks. 
3 0
2 years ago
Read 2 more answers
I need help im confused and lost
baherus [9]

Answer:

B

i think

Step-by-step explanation:

7 0
2 years ago
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