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Rasek [7]
3 years ago
5

A company is tracking how many of the cell phones it produces do not meet specifications. It runs a simulation 100 times and rec

ords how many defects are in each simulated sample of 1000 phones.
Mathematics
1 answer:
mylen [45]3 years ago
3 0

Answer: The p-value is 0.18, which is more than 0.05. Fail to reject the null hypothesis.

Step-by-step explanation: Well I took the quiz and that was the answer...

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Element X decays radioactively with a half life of 12 minutes. If there are 200 grams of Element X, how long, to the nearest ten
Semenov [28]

Answer:

It would take 24 minutes for the element to decay to 50 grams

Step-by-step explanation:

The equation for the amount of the element present, after t minutes, is:

Q(t) = Q(0)e^{-rt}

In which Q(X) decays radioactively with a half life of 12 minutes.(0) is the initial amount and r is the rate it decreases.

Half life of 12 minutes

This means that Q(12) = 0.5Q(0)

So

Q(t) = Q(0)e^{-rt}

0.5Q(0) = Q(0)e^{-12r}

e^{-12r} = 0.5

\ln{e^{-12r}} = \ln{0.5}

-12r = \ln{0.5}

12r = -\ln{0.5}

r = -\frac{\ln{0.5}}{12}

r = 0.05776

If there are 200 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 50 grams?

This is t when Q(t) = 50. Q(0) = 200.

Q(t) = Q(0)e^{-rt}

50 = 200e^{-0.05776t}

e^{-0.05776t} = 0.25

\ln{e^{-0.05776t}} = \ln{0.25}

-0.05776t = \ln{0.25}

0.05776t = -\ln{0.25}

t = -\frac{\ln{0.25}}{0.05776}

t = 24

It would take 24 minutes for the element to decay to 50 grams

6 0
3 years ago
The side lengths 30, 41, and 70 can form a triangle.
True [87]
A = 30
B = 41
C = 70

A < B + C
30 < 41+70 ==> 30 < 111 (TRUE)

B < A + C ==>
41 < 30 + 70 ==> 41 < 100 (TRUE)

C < A+B
70 < 30 + 41 ==> 70 < 71 (TRUE)

Yes, can!
3 0
3 years ago
Answer with at least 3-4 sentences. No fake answers lots of points
Rus_ich [418]

Answer:

4

Step-by-step explanation:

Calculation of the discriminant of the polynomial : x⋅2−4⋅x+5

1. Applying the formula to calculate the discriminant Δ=b2−4⋅a⋅c with : a=0, b=−2,c=5

2. Δ=(−2)2−4⋅(0)⋅(5)=4=4

3. The discriminant of the polynomial x⋅2−4⋅x+5 is equal to 4

5 0
3 years ago
Based on the information below, choose the correct answer.
Soloha48 [4]
Hi there

dollar amount of each monthly payment is interest
11,798.81÷120
=98.32

percent of the total payments is total interest
(11,798.81÷41,798.81)×100
=28.23%

Hope it helps
3 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (1,4) and (-2,-8)?
natita [175]

Answer: I know it 4 but I don’t know the equation for it, I can only help you this far.(hope it help)

Step-by-step explanation:

(1,4) and (-2,-8)

(x is the first number of the point which is 1 and -2, y is the second number of the point which is 4 and -8.)

(x1 is 1, it alway the first point they tell you on the problem like (1,-4) is on the problem first so it gonna be x1 and y1, for x2 it -2, it alway the second point in the problem like (-2,-8) is the second point they tell you so it gonna be y1 and y2.)

Do x2 - x1 and y2 - y1(y/x)

-8 - 4/-2 - 1 = -12/-3

-12/-3 divide top and bottom by -3, that would equal to 4

8 0
2 years ago
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