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3 years ago

I NEED HELP WITH THIS AND U GOTTA EXPLAIN HOW U GOT THE ANSWER q2

Mathematics

2 answers:

Studentka2010 [4]3 years ago

6 0

There is the work side X and Y are congruent

Fantom [35]3 years ago

4 0

Answer:

27 degrees

Step-by-step explanation:

5t - 13 = 3t + 3

subtract 3t on both sides

2t - 13 = 3

add 13 to both sides

2t = 16

divide by 2 on both sides

t = 8 degrees

Now, plug in 8 to the measure of x

5(8) - 13 = 27

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How to justify each step in the solution of 5x+15=0

velikii [3]

Answer:

Step-by-step explanation:

The given equation is:

5x+15 =0

Subtract 15 from both sides:

5x+15-15= 0-15

By solving the like terms we get:

5x=-15

Divide both sides by 5

5x/5 = -15/5

Simplify:

x= -3...

8 0

3 years ago

Paul works at a local grocery store. he worked 15 hours this week. last week he worked 2.5 times as many hours as he worked this

Nonamiya [84]

So last week Paul worked 2.5x this week's hours, so he worked a total of 2.5x15= 37.5 hours last week.

6 0

3 years ago

A Cell Phone company sells cellular phones and airtime in a State. At a recent meeting, the marketing manager states that the av

GarryVolchara [31]

Answer:

The null hypothesis is rejected.

There is enough evidence to support the claim that the average age of the customers differs from 40 years.

The sample does not support the manager claim (the average age seems to differ from 40 years).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The manager claims that the average age of customers is 40 years. As this is an equality, we will test if the average age differs from 40. If the null hypothesis failed to be rejected, the claim of the manager is right.

Then, the claim is that the average age of the customers differs from 40 years.

Then, the null and alternative hypothesis are:

$H_0: \mu=40\\\\H_a:\mu\neq 40$

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=38.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.

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

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7}{\sqrt{50}}=0.99$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{38-40}{0.99}=\dfrac{-2}{0.99}=-2.02$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

This test is a two-tailed test, with 49 degrees of freedom and t=-2.02, so the P-value for this test is calculated as (using a t-table):

$P-value=2\cdot P(t$

As the P-value (0.049) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average age of the customers differs from 40 years.

3 0

4 years ago

How many different outcomes are possible from rolling a six sided cube four times

Marianna [84]

Answer:

1296 different outcomes

Step-by-step explanation:

Each cube has 6 possible values (from 1 to 6), and for each additional cube rolled, we have 6 more possible values, and the final number of different outcomes is the product of all the number of possible values for each cube.

So, if we roll the cube four times, the total number of different outcomes is:

6 * 6 * 6 * 6 = 1296

We have 1296 different outcomes from rolling the six sided cube four times.

7 0

3 years ago

Consider the expression 40+24 . Find the greatest common factor of the two numbers and use the distributive property to rewrite

Margarita [4]

Hi there!

$\large\boxed{8(5+3)}}$

The greatest common factor of 40 and 24 is 8.

8 goes into 40 5 times:

8 goes into 24 3 times.

We can rewrite this expression for distribution using the amount of times 8 goes into both numbers:

8(5 + 3)

Using this, we get:

8(5) + 8(3) = 40 + 24.

3 0

3 years ago