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V125BC [204]
3 years ago
12

A standard chemistry examination administered nationally by the American Chemical Society has a mean of 500 and a standard devia

tion of 90. What is the probability that the average of a random sample of examination scores of 25 students will be between 450 and 500?
Mathematics
1 answer:
Maslowich3 years ago
4 0
Let X be a random sample representing the score of a student in the American Chemical Society Examination.
P(450 < x < 500) = P((450 - 500)/(90/sqrt(25)) < z < (500 - 500)/(90/sqrt(25))) = P(-2.778 < z < 0) = P(z < 0) - P(z < -2.778) = P(z < 0) - [1 - P(z < 2.778)] = P(z < 0) + P(z < 2.778) - 1 = 0.5 + 0.99727 - 1 = 0.49727 = 49.7%
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When 0.3(4x - 8) - 0.5(2.4x + 4) is simplified what is the resulting expression?
LUCKY_DIMON [66]
0.3(4x-8)-0.5(2.4x+4)
1.2x-2.4-1.2x+2
x-0.4
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3 years ago
Suppose a triangle has two sides of length 3 and 4 and that the angle
rodikova [14]

Answer:

B

Step-by-step explanation:

We can use the law of cosinse:

c^{2} = a^{2} + b^{2} − 2ab cos(C)

Suppose the two sides are a and b, and the angle betweent them is C.

c^{2} = 3^{2} + 4^{2} − 2*3*4 cos(60)

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Answer choice B

4 0
2 years ago
Read 2 more answers
Felicia places a rectangular rug that measures 10 feet by 11 feet in a triangular room with a base of 30 feet and height of 22 f
arsen [322]

Answer:

1. Area of rectangular rug is 110 ft^{2}

2. Area of triangular room is 330ft^{2}

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, rectangle and triangle.

step one

let us start by solving for the area of the rectangular rug

given data

Area A =  ?

Length l =  11 ft

Width w=  10 ft

we know that the area of a rectangle is expressed as

Area=Length * Width

substituting our given data we have

Area= 11*10\\Area= 110 ft^{2}

step two

let us  solve for the area of the triangular room

given data

Area A =  ?

base b =  30 ft

height  h=  22 ft

we know that the area of a triangle is expressed as

Area= \frac{1}{2} *base* height\\

substituting our given data we have

Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}

8 0
3 years ago
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Yhe baby gained 3 1/4 pounds
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Helen got a $7 reduction in the price of pair of jeans that are normally $32. What is the aproximate percent decrease In The pri
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$ 7 dollar reduction....that means new price is (32 - 7) = 25

percent decrease = (original number - new number) / original number..* 100
                                (32 - 25) / 25....* 100
                                 7/25 * 100
                                 0.28 * 100
                                 28% decrease <==
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3 years ago
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