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stepladder [879]
2 years ago
14

Estimate the product of 45.67and 1.42​

Mathematics
1 answer:
Montano1993 [528]2 years ago
7 0

Answer:

The estimate is about 47

Step-by-step explanation:

45.67 ~ 45.5

1.42 ~ 1.5

1.5 + 45.5 = 47

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The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There
KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5

We have to find the value of x such that the probability is 0.05

P(X > x)  = 0.05

P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05  

= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05  

=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83  

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0
3 years ago
P v q is true for a total of how many cars?
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Answer:D. 80

Step-by-step explanation:

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Given f (x) = x +1 and g(x) = x², what is (gºf)(x)?
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Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

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I just need help with 6c. If you can, please explain how you got the answer.​
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The answer is fully given in the picture below. Hope it helps!

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