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3 years ago

26 = 3x - 2 - 7x show york work but please try to summarize you're explanation

Mathematics

1 answer:

Delvig [45]3 years ago

6 0

26 = 3x - 2 - 7x
26 + 2 = -4x
28 / -4 = x
x = -7
Best answer me please!

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An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

bija089 [108]

$a_1=-9\\\\a_2=a_1-8\to a_2=-9-8=-17\\\\a_3=a_2-8\to a_3=-17-8=-25\\\\a_4=a_3-8\to a_4=-25-8=-33\\\\\text{The general term of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\a_1-first\ term\\d-common\ difference\\\\\text{We have}\ a_1=-9\ \text{and}\ d=-8.\ \text{Substitute:}\\\\a_n=-9+(n-1)(-8)=-9-8n+8=-8n-1\\\\\text{Put n = 43 and calculate}\ a_{43}\\\\a_{43}=-8(43)-1=-344-1=-345\\\\Answer:\ \boxed{?=-345}$

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3 years ago

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3 years ago

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The standard IQ test has a mean of 97 and a standard deviation of 17. We want to be

densk [106]

Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97. But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,

μ = 97

Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions. This means the standard deviation of the average x is

σ = 17/√n

We want to be 95% certain

97 - 5 ≤ x ≤ 97 + 5

By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that

μ - 2σ ≤ x ≤ μ + 2σ

Comparing to what we want, that's means we have to solve

2σ = 5

2 (17/√n) = 5

√n = 2 (17/5)

n = (34/5)² = 46.24

We better round up.

Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean

6 0

3 years ago

What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?

Hitman42 [59]

Answer:

$\large\boxed{y-12=\dfrac{5}{6}(x+9)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point on a line

We have

$m=\dfrac{5}{6},\ (-9,\ 12)\to x_1=-9,\ y_1=12$

Substitute:

$y-12=\dfrac{5}{6}(x-(-9))\\\\y-12=\dfrac{5}{6}(x+9)$

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3 years ago

An entrepreneur buys some microscopes. Each one cost $200 and resells online for $526. What is the mark-up percentage?

Dafna11 [192]

Answer:

326

Step-by-step explanation:

Given: Microscopes. Each one costs $200 and resells online for $526.

To find: What is the mark-up percentage?

Solution: Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage.

$526 - 200 = 326$

Net Profit Margin = 61.98%

Net Profit = $326.00

Profit Percentage = 163.00%

Find more here: brainly.com/question/23345732

6 0

3 years ago