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nika2105 [10]
3 years ago
6

What is the product?

Mathematics
1 answer:
Fantom [35]3 years ago
8 0
B) is correct
a=-4
b=9t
(a+b)(a-b)=a^2-b^2=16-81t^2


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Satelite Corporation projects a year-end net income of $64,722. The net income represents 40% of its projected annual sales. Wha
Goryan [66]

Answer:

The projected annual sales of Satelite Corporation are $ 161,805.

Step-by-step explanation:

Given that Satellite Corporation projects a year-end net income of $ 64,722, and that the net income represents 40% of its projected annual sales, to determine the amount of the projected annual sales of the company the following calculation must be performed:

40 = 64.722

100 = X

(100 x 64,722) / 40 = X

6,472,200 / 40 = X

161.805 = X

Therefore, the projected annual sales of Satelite Corporation are $ 161,805.

4 0
3 years ago
Order the steps to show how to solve the equation 2(4x−11)+9=192(4x−11)+9=19.
Blababa [14]
I hope this helps you

4 0
3 years ago
The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation
Wewaii [24]

Answer:

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.

This means that \mu = 14, \sigma = 2

Sample of 100:

This means that n = 100, s = \frac{2}{\sqrt{100}} = 0.2

What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2?

This is 1 subtracted by the p-value of Z when X = 14.2. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{14.2 - 14}{0.2}

Z = 1

Z = 1 has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

6 0
3 years ago
. Look at each equation and possible solution. Is the solution correct? Select Yes or No for
insens350 [35]
A. No B. No C. Yes I honestly don’t know if that’s 100% right tho
4 0
3 years ago
Help i dont know what to do
oksano4ka [1.4K]

Answer:

Pretend the y-axis is a mirror

If the original shape is

P=4,-2

Z=5,-4

M=4,-4

The new image made by mirroring it will be

P’= -4,-2

Z’= -5,-4

M’= -4,-4

Step-by-step explanation:

Sorry if this doesn’t make sense, just graph P’, Z’, and M’ for a mirrored image

3 0
2 years ago
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