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tia_tia [17]
3 years ago
15

Factorization of:

Mathematics
1 answer:
zubka84 [21]3 years ago
3 0

Answer:

Step-by-step explanation:

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75: 3 * 5 * 5

168: 2 * 2* 2 * 3 * 7

It's not really multiplication. It's more division.

Try 2800 as a sample. What you are trying to do is break this down into primes. The first prime is 2

2800/2 = 1400

1400 / 2 = 700

700 / 2 = 350

350 / 2 = 175. That's the end of what the 2s can do.

175 / 5 = 35

35/ 5 = 7 7 is a prime. You are done. Now run up the ladder.

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75 is not an even number. It has no 2s. Go to 3

75 / 3 = 25.

25 / 5 = 5

That's the end

75: 3 * 5 * 5

Your calculator can be of great help. The rule is keep factoring until you get a decimal remainder. Move on to the next prime. Stop when the last division gives you a prime.

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Is each line parallel, perpendicular, or neither parallel or perpendicular to a line whose slops is -3/4?
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Answer:

Line M is neither.

Line N is perpendicular.

Line P is neither.

Line Q is parallel.

Step-by-step explanation:

Parallel lines are lines whose slope are the same. Line q is the exact same slope. It is parallel.

Perpendicular lines are lines whose slopes are the negative reciprocal of each other \frac{a}{b}, -\frac{b}{a}. Line n is 4/3 and is perpendicular.

Line m and p are neither.


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3 years ago
What is the slope of the line that contains these points? (39,36) (40,29) (41,22) (42,15)
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Answer:

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Step-by-step explanation:

As x increases by 1, y decreases by 7, so the "rise"/"run" is ...

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Answer:

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Step-by-step explanation:

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3 years ago
A random sample of a specific brand of snack bar is tested for calorie count, with the following results: Assume the population
LenKa [72]

Answer:

The 95% confidence interval for the population mean (calorie count of the snacks bars) is (130.32, 161.68).

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"A random sample of a specific brand of snack bar is tested for calorie count, with the following results: </em><em>149, 145,140,160,149,153,131,134,153</em><em>. Assume the population standard deviation is </em><em>σ=24</em><em> and that the population is approximately normal. Construct a 95% confidence interval for the calorie count of the snack bars."</em>

We start by calculating the mean of the sample:

M=\dfrac{1}{9}\sum_{i=1}^{9}(149+145+140+160+149+153+131+134+153)\\\\\\ M=\dfrac{1314}{9}=146

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is know and is σ=24.

The sample mean is M=146.

The sample size is N=9.

As σ is known, the standard error of the mean (σM) is calculated as: \sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{24}{\sqrt{9}}=\dfrac{24}{3}=8

The z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=1.96 \cdot 8=15.68

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 146-15.68=130.32\\\\UL=M+t \cdot s_M = 146+15.68=161.68

The 95% confidence interval for the population mean is (130.32, 161.68).

8 0
3 years ago
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