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2 years ago

14

Factor completely : 6x^2 - 4x - 2

1 answer:

TiliK225 [7]2 years ago

6 0

$6x^2-4x-2\\-----------------------\\-4x=-6x+2x\\---------------------\\6x^2-6x+2x-2=6x(x-1)+2(x-1)=\boxed{(x-1)(6x+2)}\\----------------------\\6x+2=2(3x+1)\\------------------------\\Answer:\boxed{2(x-1)(3x+1)}$

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There are 36 people camping at Max's family reunion. They are sleeping in tents. If 4 people can sleep in each tent, how many te

tiny-mole [99]

9 because 4 times 9 =36

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2 years ago

Finke typing speed increased from 40 words per minute to 45 words per minute. What was the percent increase?

Kaylis [27]

In the given question, it is already disclosed that the typing speed of Finke has increased from 40 words per minute to 45 words per minute. Now we have to find the percentage increase in the speed of typing.
For this purpose we have to find the solution in the method described below.
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Then Percentage increase in the speed of typing by Finke = (5/40) * 100
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2 years ago

What is 5 1/2 divided by 3/4?<br>HELP please I need immediately!!

Levart [38]

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4 0

3 years ago

Read 2 more answers

Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on pr

Fed [463]

Answer:

There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task

Step-by-step explanation:

Given

Let subscript 1 represent men and 2 represent women, respectively.

$n_1 = 25$

$n_2 = 21$

$s_1 = 0.98$

$s_2 = 1.02$

$\alpha = 0.02$

Required

Determine if here is enough evidence

First, we need to state the hypotheses

$H_o: \sigma_1^2 = \sigma_2^2$

$H_1: \sigma_1^2 \ne \sigma_2^2$

Next, calculate the test statistic using:

$F = \frac{s_1^2}{s_2^2}$

$F = \frac{0.98^2}{1.02^2}$

$F = 0.923$

Calculate the rejection region;

But first, calculate the degrees of freedom

$df_1 =n_1 - 1$

$df_1 =25 - 1$

$df_1 =24$

$df_2 = n_2 -1$

$df_2 = 21 - 1$

$df_2 = 20$

Using the F Distribution: table

$c = \frac{\alpha}{2}$

$c = \frac{0.02}{2}$

$c = 0.01$

At 0.01 level (check row 20 and column 24), the critical value is:

<em></em> $f_{0.01,24,20} = 2.86$ <em> --- the upper bound</em>

At 0.01 level (check row 24 and column 20), the critical value is:

$f_{0.01,20,24} = 2.74$

Calculate the inverse F distribution.

$f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365$ ---- the lower bound

The rejection region is then represented as:

$0.365 < Test\ Statistic < 2.86$

If the test statistic falls within this region, then the null hypothesis is rejected

$F = 0.923$ --- Test Statistic

$0.365 < 0.923 < 2.86$

<em>The above inequality is true; so, the null hypothesis is rejected.</em>

<em>This implies that, there is no sufficient evidence.</em>

7 0

2 years ago

Solve 2(x-2)=6 please help me

Elena L [17]

2(x-2)=6
2x-4=6
2x=6+4
2x/2=10/2
x=5

4 0

2 years ago

Read 2 more answers