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2 years ago

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What is the slope of the line through (-9,6)(−9,6)left parenthesis, minus, 9, comma, 6, right parenthesis and (-6,-9)(−6,−9)left

parenthesis, minus, 6, comma, minus, 9, right parenthesis?

1 answer:

uranmaximum [27]2 years ago

6 0

Answer:

Step-by-step explanation:

Slope of line through (-9,6) and (-6,-9) = (-9 - 6)/(-6 - (-9)) = (-15)/(3) = -5

point-slope equation for line of slope -5 that passes through (-9,6):

y-6 = -5(x+9)

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*50 PTS, WILL MARK BRAINLIEST*

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Part A)

Total stores = 362 + 66 = 428

362 / 428 = 0.845 = 84.5% = 85%

66 / 428 = 0.154 = 15.4% = 15%

Yes this is consistent with the percentages shown in the first table.

Part B)

Total stores : 197 +115 = 312

197 / 312 = 0.631 = 63.1% = 63%

115 / 312 = 0.368 = 36.8% = 37%

The percentage for current stores is less than what is shown in the first table, so this would not be consistent.

Part C )

Percentage of new stores for the Northeast = 60 / 310 = 19%

The percentage of new stores for The Midwest and Northeast are below 25%, but the percentage of new stores in the South is above 25%, so the additional training wouldn't be required for the South, but should be required for the other two areas.

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3 years ago

Diane owes $11901.00 to the bank after completing her college degree. With the funds from her new job she is paying back $153.00

Viefleur [7K]

On average, parents pay 10% of the total amount due with borrowed funds; students cover 14% with student loans and other debt-forming sources. The remaining 29% of the cost of college is mostly covered by scholarships and grants won by the student: 17% by scholarships and 11% by grants.

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2 years ago

Read 2 more answers

Assuming a binomial distribution, a production process produces 2% defective parts. A sample of five parts from the production p

Murrr4er [49]

Answer:

0.38% probability that the sample contains exactly two defective parts.

Step-by-step explanation:

For each part, there are only two possible outcomes. Either it is defective, or it is not. The probabilities for each part being defective are independent from each other. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

In this problem we have that:

$n = 5, p = 0.02$

What is the probability that the sample contains exactly two defective parts?

This is $P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{5,2}.(0.02)^{2}.(0.98)^{3} = 0.0038$

0.38% probability that the sample contains exactly two defective parts.

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2 years ago

In 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?

JulsSmile [24]

Answer:

$N = 6$ so that number becomes divisible by 3, 6 and 9.

Step-by-step explanation:

In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that $n = 154N38$ , then its sum of digits is:

$x = 1 + 5+4+N+3+8$

$x = 21+N$ (Eq. 1)

We have to determine which digits corresponds to multiples of three, there are four digits:

N = 0

$x = 21+0$

$x = 21$ ( $3\times 7 = 21$ )

N = 3

$x = 21+3$

$x = 24$ ( $3\times 8 = 24$ )

N = 6

$x = 21+6$

$x = 27$ ( $3\times 9 = 27$ )

N = 9

$x = 21+9$

$x = 30$ ( $3\times 10 = 30$ )

We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:

$154038 = 2\times 3\times 25673$

$154338 =2\times 3\times 29 \times 887$

$154638 = 2\times 3\times 3\times 11\times 11\times 71$

$154938 = 2\times 3\times 7\times 7\times 17\times 31$

It is quite evident that $N = 6$ so that number becomes divisible by 3, 6 and 9.

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2 years ago

What did you do to find the GCF given the remaining factors?

scoray [572]

Answer:

To find GCD or HCF, just write the common factor.

Step-by-step explanation:

To find the GCF of greater numbers, you can factor each number to find their prime factors, identify the prime factors they have in common, and then multiply those together.

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