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Natasha2012 [34]

2 years ago

10

In this arithmetic sequence, the difference between each pair of consecutive terms is 2 1/6 Find the next term. 1, 3 1/6, 5 1/3,

7 1/2

1 answer:

cluponka [151]2 years ago

5 0

7 1/2 + 2 1/6 = 7 3/6 + 2 1/6 = 9 4/6 = 9 2/3
The next term is 9 2/3

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The following shows the monthly sales in units of six salespersons before and after a bonus plan was introduced. At 95% confiden

saw5 [17]

Answer:

it is clear that at 95% confidence that the bonus plan has increased the sales significantly, because if we observe you will notice that sales after is greater than sales before in all six cases.

Step-by-step explanation:

A 95% confidence interval as we have above is the range of values that we can say with utmost certainty and confidence that 95% chance it contains the true mean of the population. in other words we can say that a 95% confidence interval defines a range of values that you can be 95% certain contains the population mean.

4 0

3 years ago

Which expression is equivalent to 128x^5y^6 \ 2x^7y^5 ? Assume x > 0 and y > 0.

N76 [4]

Answer: Last option.

Step-by-step explanation:

Given the expression:

$\sqrt{\frac{128x^5y^6}{2x^7y^5}$

The Quotient of powers property states that:

$\frac{a^m}{a^n}=a^{(m-n)}$

And the Power of a powet property states that:

$(a^m)^n=a^{mn}$

Then, applying these properties, you get:

$=\sqrt{\frac{(2^3)^26y}{x^2}$

Now you must remember that:

$\sqrt[a]{a^n}=a$

Therefore, simpliying the expression, you get:

$=\frac{2^3\sqrt{y}}{x}=\frac{8\sqrt{y}}{x}$

7 0

3 years ago

Read 2 more answers

Factor then solve.<br>1.81 - 4x²=0<br>2. 4s² + 9 = 12s

elena-14-01-66 [18.8K]

$1.\\81-4x^2=0\\\\9^2-(2x)^2=0\\\\(9-2x)(9+2x)=0\iff9-2x=0\ \vee\ 9+2x=0\\\\-2x=-9\ \vee\ 2x=-9\\\\x=4.5\ \vee\ x=-4.5$

=============================================================

$2.\\4s^2+9=12s\\\\4s^2-12s+9=0\\\\(2s)^2-2\cdot2s\cdot3+3^2=0\\\\(2s-3)^2=0\\\\(2s-3)(2s-3)=0\iff2s-3=0\\\\2s=3\\\\s=1.5$

7 0

3 years ago

Read 2 more answers

Solve m=9/5p+18 for p.

Goshia [24]

$m=\dfrac{9}{5p+18}\\\\\dfrac{9}{5p+18}=\dfrac{m}{1}\ \ \ \ \ |cross\ multiply\\\\m(5p+18)=9\\\\5mp+18m=9\ \ \ \ |subtract\ 18m\ from\ both\ sides\\\\5mp=9-18m\ \ \ \ \ \ |divide\ both\ sides\ by\ 5m\\\\\boxed{p=\frac{9-18m}{5m}}$

7 0

4 years ago

Post-test about graphs need help

Murrr4er [49]

Answer:

O A. $y=\frac{4}{3} x-\frac{1}{3}$

Step-by-step explanation:

To find the equation of the line, we need to know the slope and the y-intercept.

so, let's start by the slope. We need two points given in the graph.

(4, 5) and (-2, -3)

Then use the Slope-Formula to identify the Slope of the line.

m = slope

m = $\frac{y2-y1}{x2-x1}$ Slope Formula

m = $\frac{-3-5}{-2-4}$ subtract the second y from the first y / second x from first x

m = $\frac{-8}{-6}$ Turn the fraction to positive because two negatives = positi-

m = $\frac{8}{6}$ Simplify

m = $\frac{4}{3}$ Final Answer

The slope of the line is $\frac{4}{3}$ now what about the y-intercept?

The y-intercept is located at the y axis.

It determines how many units the graph goes up or down depending...

Well in this case, the y-intercept is negative because it is below on the yaxis

Then we must determine the y-intercept.

so we know is negative but it isn't exactly on a point so it is formed as a fra-

then we can determine it by seeing when it hits another unit (hard explainin)

y-intercept = -1/3

Final Answer: y = $\frac{4}{3} x-\frac{1}{3}$

7 0

3 years ago