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elena-14-01-66 [18.8K]
3 years ago
7

True/ False: a sample of 100 fuses from a very large shipment is found to have 10 that are defective. The 95% confidence interva

l would indicate that, the propotion of defective fuses is between 0 and 0.28.
Mathematics
1 answer:
Kobotan [32]3 years ago
3 0

Answer:

False

Step-by-step explanation:

These questions depend on sample size, which in this case, it'd not fall between 0 and .28.

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Use the exponential decay​ model, Upper A equals Upper A 0 e Superscript kt​, to solve the following. The​ half-life of a certai
Akimi4 [234]

Answer:

It will take 7 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of the substance after t years,

A=A_0 e^{kt}

Where,

A_0 = Initial amount of the substance,

If the half life of the substance is 19 years,

Then if t = 19, amount of the substance = \frac{A_0}{2},

i.e.

\frac{A_0}{2}=A_0 e^{19k}

\frac{1}{2} = e^{19k}

0.5 = e^{19k}

Taking ln both sides,

\ln(0.5) = \ln(e^{19k})

\ln(0.5) = 19k

\implies k = \frac{\ln(0.5)}{19}\approx -0.03648

Now, if the substance to decay to 78​% of its original​ amount,

Then A=78\% \text{ of }A_0 =\frac{78A_0}{100}=0.78 A_0

0.78 A_0=A_0 e^{-0.03648t}

0.78 = e^{-0.03648t}

Again taking ln both sides,

\ln(0.78) = -0.03648t

-0.24846=-0.03648t

\implies t = \frac{0.24846}{0.03648}=6.81085\approx 7

Hence, approximately the substance would be 78% of its initial value after 7 years.

5 0
3 years ago
A basketball player made 57 out of 100 attempted free throws. What percent of free throws was made?
Effectus [21]
57% of free throws were made
6 0
3 years ago
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What can divided 36 and 99
crimeas [40]

Step-by-step explanation:

GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.

3 0
3 years ago
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Please help me with this !!!
liraira [26]

Answer:

\fbox {P = 6.76 cm}

Step-by-step explanation:

<u>Finding the missing angle</u> :

  • 22° + ∠R + 72° = 180°
  • ∠R = 180° - 94°
  • ∠R = 86°

<u>Applying the Law of Sines</u> :

\boxed {\frac{sin P}{P} = \frac{sin R}{PQ}}

<u>Substituting the known values</u> :

  • sin 22° / P = sin 86° / 18
  • P = sin 22° × 18 / sin 86°
  • P = 0.374606593 × 18 / 0.99756405
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Round 7347803 to the nearest hundred thousand
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Answer:

the answer is 7,348,000

Step-by-step explanation:

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