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Sloan [31]
3 years ago
10

A consumer report counted 72 low quality, 112 medium quality, and 711 high quality computers based on a random sample. The repor

t went on to say that all computers, regardless of quality, are packaged identically and sold at the same price. Use the observed frequencies to create a probability model for the quality of the next computer purchased
Mathematics
2 answers:
RUDIKE [14]3 years ago
3 0
Total number of computers in sample = 72 + 112 + 711 = 895.
P(LQ) = 72/895 = 0.08
P(MQ) = 112/895 = 0.125
P(HQ) = 711/895 = 0.794
MArishka [77]3 years ago
3 0

Answer:

P(L) = 0.0804

P(M) = 0.1251

P(H) = 0.7945

Step-by-step explanation:

A probability is the number of desired outcomes desired by the number of total outcomes.

I am going to say that we have these following events

L is the event that a computer is low quality.

There are 72+112+711 = 895 computers. Of those, 72 are low quality. So

P(L) = \frac{72}{895} = 0.0804

M is the event that a computer is medium quality.

Of the 895 computers, 112 of them are medium quality. So

P(M) = \frac{112}{895} = 0.1251

H is the event that a computer is medium quality.

Of the 895 computers, 711 of them are medium quality. So

P(H) = \frac{711}{895} = 0.7945

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alexira [117]

Answer:1.627\times 1.627\times 1.88\ ft^3

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume V=l^2\cdot h

h=\frac{V}{l^2}

volume V=5 ft^3

Area of side wall is A_s=l^2

Area of top Wall A_t=l\times h

Area of bottom A_b=l\times h

Cost of bottom wall c_b=20\times l\times h=20lh

Cost of top wall c_t=50\times l\times h=50lh

Cost of side walls c_s=4\times l^2\times 10=40l^2

total cost C=c_s+c_t+c_b=20lh+50lh+40l^2

C=70lh+40l^2

C=70\times l\times \frac{5}{l^2}+40l^2

differentiate C w.r.t l to get minima or maxima

\frac{\mathrm{d} C}{\mathrm{d} l}=0

-\frac{350}{l}+80l^2=0

l^3=\frac{350}{80}

l=1.627 ft

h=\frac{5}{2.648}

h=1.88 ft

Dimension of Box is 1.627\times 1.627\times 1.88\ ft^3

5 0
3 years ago
PLZ HELP ill GIVE BRAINIESt!!!!
Elenna [48]
This problem can be modeled by the picture shown below. We notice that we are given to side lengths, specifically legs, of the triangle. Therefore, we can use the Pythagorean Theorem, which states that a^2+b^2=c^2, where a and b are legs and c is the hypotenuse. So we can do:

16^2+12^2=c^2
256+144=c^2
400=c^2

The square root of 400 is 20, which is our hypotenuse.

(You might wonder why we used 12, that is because the whole base length is 24, but we only need half of the base to  use the Pythagorean Theorem. 24/2 is 12).

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5 0
3 years ago
If y=10 and d=126, then what is the value of z?
juin [17]

Answer:26

Step-by-step explanation:

85*2=170

170+64+x=360

234+x=360

x=126

3 0
2 years ago
Richard s kitchen floor measures 22 ft by 16ft. He plans on laying title down and each tile piece measures 16 inches by 16 inche
olya-2409 [2.1K]
We calculate the floor area of the kitchen:
 A = (22) * (16)
 A = 352 feet ^ 2
 We consider the following conversion:
 1 foot = 12 inches.
 Applying the conversion we have:
 A = 352 * (12/1) ^ 2
 A = 50688 in ^ 2
 We calculate the area of each tile:
 A = (16) * (16)
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 Then, the number of tiles is given by:
 N = (50688) / (256)
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 Answer:
 He
 needs to buy 198 tiles
3 0
3 years ago
Write a vector equation of the line that passes through point P(-4,11) and is parallel to a=[-3,8]. Then write parametric equati
Assoli18 [71]

Answer:

\vec l = (-4, 11) + t\cdot (-3,8), x = -4 - 3\cdot t and y = 11 + 8\cdot t

Step-by-step explanation:

The vector equation of the line is:

\vec l = \vec P + t \cdot \vec A

\vec l = (-4, 11) + t\cdot (-3,8)

The parametric equations of the line are:

x = -4 - 3\cdot t and y = 11 + 8\cdot t

4 0
3 years ago
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