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4 years ago

The quotient to the above algebra problem

Mathematics

1 answer:

max2010maxim [7]4 years ago

4 0

6ax is a common factor, so divide top and bottom by 6ax:
(a-3x+7ax)/6ax.
Divide each of the terms in the numerator by the denominator:
1/6x-1/2a+7/6

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What is 5/8 written as a decimal

Vera_Pavlovna [14]

What is 5/8 written as a decimal?

5/8 = 5 : 8 = 0.625

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3 years ago

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State the null and alternative hypotheses to test if the population represented by Sample 1 has a mean that is 2.0 units higher

avanturin [10]

Answer:

Null Hypothesis, $H_0$ : $\mu_A-\mu_B$ = 2.0 units or $\mu_D$ = 2.0 units

Alternate Hypothesis, $H_A$ : $\mu_A-\mu_B\neq$ 2.0 units or $\mu_D\neq$ 2.0 units

Step-by-step explanation:

We are given the following data below and we have test if the population represented by Sample 1 has a mean that is 2.0 units higher than the population represented by Sample 2;

Pair : 1 2 3 4 5 6 7

Sample1 : 5 6 10 3 6 7 8

Sample2 : 4 4 3 5 5 5 3

Let $\mu_A$ = population mean represented by Sample 1

$\mu_B$ = population mean represented by Sample 2

$\mu_D$ = population mean matched-pair differences for Sample 1 - Sample 2

So, Null Hypothesis, $H_0$ : $\mu_A-\mu_B$ = 2.0 units or $\mu_D$ = 2.0 units

Alternate Hypothesis, $H_A$ : $\mu_A-\mu_B\neq$ 2.0 units or $\mu_D\neq$ 2.0 units

Here null hypothesis states that the population represented by Sample 1 has a mean that is 2.0 units higher than the population represented by Sample 2.

On the other hand, alternate hypothesis states that the population represented by Sample 1 has a mean that is not 2.0 units higher than the population represented by Sample 2.

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4 years ago

What is h(x) = –3x2 – 6x + 5 written in vertex form?

Lynna [10]

H=-3x^2-6x+5 subtract 5 from both sides

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(5-h)/3=x^2+2x halve the linear coefficient, square it, add it to both sides....

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(5-h+3)/3=x^2+2x+1, now the right side is a perfect square...

(8-h)/3=(x+1)^2 multiply both sides by 3

8-h=3(x+1)^2 divide both sides by -1

h-8=-3(x+1)^2 add 8 to both sides

h=-3(x+1)^2+8

h(x)= -3(x+1)^2+8

Second answer down from the top :)

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3 years ago

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A "child has six blocks, three of which are red and three of which are green". How many patterns can shemake by placing them all

makvit [3.9K]

Answer: There are 20 ways and 1680 ways respectively.

Step-by-step explanation:

Since we have given that

Total number of blocks = 6

Number of red blocks = 3

Number of green blocks = 3

So, Number of patterns she can make by placing them all in a line is given by