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4 years ago

-4(x + 6) = -64 solve step by step please

Mathematics

2 answers:

FinnZ [79.3K]4 years ago

8 0

Answer:

x=10

Step-by-step explanation:

-4 times x =-4x

-4 times 6 =-24

-4x-24=-64

add 24 to both sides

-4x=-40

divide -4 from both sides

x=10

Papessa [141]4 years ago

5 0

Answer:

x = 10

Step-by-step explanation:

-4(x+6) = -64

-4x-24 = -64

-4x = -64+24

-4x = -40

x = 10

hope this helps!!! :)

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A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the

juin [17]

Answer:

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the commercial improved the mean purchase potential rating.

Step-by-step explanation:

If we calculate the difference in ratings we have:

After Before Difference

1 6 -5

5 2 3

6 4 2

3 7 -4

7 4 3

4 3 1

5 3 2

5 6 -1

9 8 1

7 7 0

5 8 -3

6 6 0

We will calculate the mean and standard deviation of the difference to test them later.

The sample size is n=12.

The mean is:

$M=\dfrac{1}{12}\sum_{i=1}^{12}((-5)+3+2+(-4)+3+1+2+(-1)+1+0+(-3)+0)\\\\\\ M=\dfrac{-1}{12}=-0.083$

The standard deviation is:

$s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{12}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{11}\cdot [(-5-(-0.083))^2+(3-(-0.083))^2+...+(0-(-0.083))^2]}\\\\\\$

$s=\sqrt{\dfrac{1}{11}\cdot [(24.17)+(9.51)+...+(1.17)+(0.01)+(8.51)+(0.01)]}\\\\\\s=\sqrt{\dfrac{78.92}{11}}=\sqrt{7.174}\\\\\\s=2.678$

The null hypothesis states that the mean rating "after" would be less than or equal to the mean rating "before." The alternative hypothesis states that the mean rating difference is greater than 0.

Then, the null and alternative hypothesis:

$H_0: \mu\leq0\\\\H_a:\mu> 0$

The significance level is 0.05.

The sample has a size n=12.

The sample difference is d=-0.083.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.678.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2.678}{\sqrt{12}}=0.773$

Then, we can calculate the t-statistic as:

$t=\dfrac{\bar d}{s/\sqrt{n}}=\dfrac{-0.083}{0.773}=-0.108$

The degrees of freedom for this sample size are:

$df=n-1=12-1=11$

This test is a right-tailed test, with 11 degrees of freedom and t=-0.108, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>-0.108)=0.542$

As the P-value is greater than the significance level, the effect is not significant. The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the commercial improved the mean purchase potential rating.

5 0

3 years ago

If there are 2,400 students,<br> 52% are boys and 48% girls. <br> What is the ratio of boy and girl?

jek_recluse [69]

Answer:

13:12

Step-by-step explanation:

52% 2400 = 1248

48% 2400 = 1152

Reduce to 13/12 = 13:12

4 0

4 years ago

Read 2 more answers

Given the equation for the total surface area of a cylinder, solve for the height of the cylinder.

Tju [1.3M]

Answer:

Let S be the total surface area. Then

h = ( S - 2 Pi r^2) / ( 2 Pi r)

Discussion:

Let S be the total surface area. Then

S = 2Pi r*h + 2 Pi r^2 => subtract 2 PI r^2 from both sides

S - 2 PI r^22 = 2 PI r*h => divide both sides by 2 PI r

h = ( S - 2 Pi r^2) / ( 2 Pi r)

Thank you,

MrB

Step-by-step explanation:

6 0

3 years ago

Match the equation with the step needed to solve it.

saveliy_v [14]

To Match

To isolate -1 we need to subtract 2m from both sides

2m - 1 = 3m (SUBTRACT 2m)

To isolate 1 we need to subtract m from both sides

2m = 1 + m (SUBTRACT m)

To isolate m we need to add 1 from both sides

m - 1 = 2 (ADD 1)

To isolate m we need to subtract 2 from both sides

2 + m = 3 (SUBTRACT 2)

To isolate m we need to add 2 from both sides

-2 + m = 1 (ADD 2)

To isolate m we need to subtract 1 from both sides

3 = 1 + m (SUBTRACT 1)

The steps needed are written in bold.

7 0

3 years ago

Read 2 more answers

Mary Lou baker rides a bicycle and travels at twice the speed of Wayne who is roller skates Mary and Wayne begin the race at the

san4es73 [151]

$M=2W \\ \\ \frac{18}{3}=\\6\\W+6=M\\W=6\\M=12$

6 miles per hour.

4 0

4 years ago