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3 years ago

What is the areas of a square with sides of length 8?

Mathematics

1 answer:

suter [353]3 years ago

4 0

Area of square = side^2

so Area of square with side 8 is 8^2 = 64

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Among 6 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the pro

Oksanka [162]

Answer:

66.67% probability that all selected components function properly

Step-by-step explanation:

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

The order in which the components are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Desired outcomes:

2 components which function properly, from a set of 5. So

$D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10$

Total outcomes:

2 components, from a set of 6. So

$T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15$

Probability:

$p = \frac{D}{T} = \frac{10}{15} = 0.6667$

66.67% probability that all selected components function properly

3 0

3 years ago

I will give you brainliest, 5 stars, and a thanks! Plus ten points please answer quickly!!

svlad2 [7]

Pre-Image:

(-4, 2), (4, 2), (-3, -1), (3, -1)

Image:

(-8, 4), (8, 4), (-6, -2), (6, -2)

6 0

3 years ago

In order to estimate the average electric usage per month, a sample of 81 houses was selected and the electric usage was determi

lana [24]

Answer:

Confidence interval: (1760,1956)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 81

Sample mean =

$\bar{x} = 1858 \text{ kWh}$

Population standard deviation =

$\sigma = 450 \text{ kilowatt-hours}$

Confidence Level = 95%

Significance level = 5% = 0.05

Confidence interval:

$\bar{x} \pm z_{critical}\displaystyle\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

$1858 \pm 1.96(\displaystyle\frac{450}{\sqrt{81}} ) = 1858 \pm 98 = (1760,1956)$

6 0

3 years ago

Eva invests $6400 in a new savings account which earns 3.4 % annual interest, compounded continuously. What

cupoosta [38]

Answer:

$7821.74

Step-by-step explanation:

Eva invests $6400 in a new savings account which earns 3.4% annual interest, compounded continuously.

We have to find the value of her investment after 6 years,

Now, using the formula for the compound interest we can get the value of her investment.

So, it will be $V = 6400 (1 + \frac{3.4}{100} )^{6} = 7821.74$ Dollars (Approximate)

{Rounded to the nearest cent} (Answer)

7 0

3 years ago

Answer this with the whole chart filled in for more points and brainliest

kiruha [24]

(-5,7) Quadrant 2
(5,-18) Quadrant 4
(10,6) Quadrant 1
(-6,-4) Quadrant 3
(-2,6) Quadrant 2
(2,-6) Quadrant 4
(-10,-13) Quadrant 3
(-4,0) x axis
(0,5) y axis

3 0

3 years ago