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3 years ago

A rectangle with an area of 16 square units?

Mathematics

1 answer:

NeX [460]3 years ago

5 0

Answer:

Area of a rectangle equals length x width soooo

The side lengths should be 2 and 8 since they are what equals 16

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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

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{1}{2} +\frac{1

iren [92.7K]

Answer:

$\frac{1}{2} + \frac{1}{3} = \frac{5}{6}$

Step-by-step explanation:

1/2+1/3 L.C.M = 6

$\frac{3 + 2}{6} = \frac{5}{6}$

4 0

3 years ago

I feel like this is the same thing from my last question (about how to find arc and angle lengths) but it looks very different.

Gnesinka [82]

Yes it is the same except there are two arcs you need to find the length for in this one.

7 0

3 years ago

Calculate the angle of depression, x, if the boat is 850 ft. away from the lighthouse and the lighthouse is 250 ft. high. Round

trapecia [35]

Firstly , we can draw diagram

we can see that

adjacent = 850

opposite =250

so, we can use tan formula

$tan(x)=\frac{250}{850}$

$x=tan^{-1}(\frac{250}{850})$

16.38

$x=16.38$

so,

angle of depression is 16.38 degree........Answer

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3 years ago

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mariarad [96]

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3 years ago