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quester [9]
3 years ago
14

A particular fruit's weights are normally distributed, with a mean of 372 grams and a standard deviation of 26 grams. If you pic

k 36 fruit at random, what is the probability that their mean weight will be between 365 grams and 380 grams
Mathematics
1 answer:
Mrac [35]3 years ago
3 0

Answer: 90.93%

Step-by-step explanation:

M= 372

s= 26

n=36

P(365<u><</u>x<380)

1. Find Z ----> <u>365-372</u> \sqrt{36} = -1.6     Next Z----><u>  380 - 372 </u>\sqrt{36}<u>= </u>  1.8

                           26                                               26

2.  plug into calculator to find probablity: normalcdf(-1.6 , 1.8 ) = .90927 or 90.93% that the prob is between 365 and 380

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A would be 4 and b would be 5.

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The cost of a type of educational toy is expressed as y = 3x + 2. Find the rate of change.
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3

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Fill in the blank. In the triangle below, y=
arsen [322]

Answer:

47.10

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

... Cos = Adjacent/Hypotenuse

The value y is the length of the hypotenuse, and the given length 35 is the side adjacent to the given angle. Thus, the cosine relationship will be helpful.

Filling in the given values, we have ...

... cos(42°) = 35/y

Multiplying by y/cos(42°), we can find y to be ...

... y = 35/cos(42°) ≈ 35/0.7431

... y ≈ 47.10

Y will be approximately  47.10 in length

Step-by-step explanation:

we will use this  form that we memorized in our schools ............. SOH CAH TOA

CAH means , Cos ∅= Adjacent/Hypotenuse

Given values

∅ =42°

hypotenuse= y

adjacent side length = 35

now putting in our values  into

Cos ∅= Adjacent/Hypotenuse

OR

cos(42°) = 35/y

by multiplying y on both sides we get

y= 35/cos( 42°)

cos(42°)= 0.743

so  y= 35/0.743    

y = 47.10632

OR

y ≈ 47.10

3 0
3 years ago
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