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3 years ago

Solve 6 +5(m + 1) = 26.

Mathematics

2 answers:

Neporo4naja [7]3 years ago

4 0

Answer:

m=3

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

EastWind [94]3 years ago

3 0

Answer:

m = 3

Step-by-step explanation:

First, distribute the 5 to the values inside the parentheses.

6 + 5m + 5 = 26

Combine like terms: 5m + 11 = 26

Then, you want to isolate the variable so you subtract 11 from both sides because what you do on one side must be done to the other.

5m + 11 - 11 = 5m

26 - 11 = 15

5m = 15

Then divide both sides by 5.

5m / 5 = m

15 / 5 = 3

m = 3

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Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two pop

nlexa [21]

Answer:

The value of the test statistic is $z = 1.78$

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

$\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8$

Sample 2:

$\mu_2 = 108, s_2 = \frac{6.3}{\sqrt{64}} = 0.7875$

The test statistic is:

$z = \frac{X - \mu}{s}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that $\mu = 0$

Distribution of the difference:

$X = \mu_1 - \mu_2 = 110 - 108 = 2$

$s = \sqrt{s_1^2+s_2^2} = \sqrt{0.8^2+0.7875^2} = 1.1226$

What is the value of the test statistic?

$z = \frac{X - \mu}{s}$

$z = \frac{2 - 0}{1.1226}$

$z = 1.78$

The value of the test statistic is $z = 1.78$

5 0

3 years ago

-3x+3y=3<br> -5x+y=13<br> Solve for substitution

vladimir1956 [14]

Take -5x + y =13 and rearrange for y:
y=13+5x

Substitute into other equation for y:
-3x+3(13+5x)=3

Multiply out brackets:
-3x+39+15x=3

Simplify:
12x+39=3

Rearrange for x:
12x=-36
x=-3

Substitute back into y=13+5x:
y=13+5(-3)
y=13-15
y=-2

8 0

3 years ago

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an

polet [3.4K]

Answer: each boy had $2.5 left after buying his ticket.

Step-by-step explanation:

Miguel and three of his friends went to the movies. They originally had a total of $40. If each boy had the same amount of money, it means that the amount that each boy( 4 boys in total) has is 40/4 = $10

Let x represent the amount of money that each boy had left after buying his ticket. If each boy spent $7.50 on a ticket, then the equation becomes

x + 7.5 = 10

Subtracting 7.5 from the left hand side and the right hand side of the equation, it becomes

x = 10 - 7.5 = 2.5

4 0

3 years ago

A laundry owner's estimate of her weekly profits, is given by the equation p=-4w2+160w, where w represent the number of workers

kirza4 [7]

Answer:

Number of workers = 20.

Step-by-step explanation:

p = - 4w^2 + 160 w

We need to find the value of w when p is a maximum.

We need to convert the equation to vertex form:

p = -4w^2 + 160w

p = -4(x^2 - 40w)

p = -4 [ (x - 20)^2 - 400]

p = -4(x - 20)^2 + 1600.

So the vertex is at (20 , 1600)

The maximum profit is 1600 and the number of workers = 20.

7 0

3 years ago

Pls help i only have 2 minuets left

Sveta_85 [38]

Answer:

14, 3!

Step-by-step explanation:

It is very complicated to explain.

4 0

3 years ago