All categories

3 years ago

Which system of equations would have the same solution as the system: x+y=5 3x+2y=10

1 answer:

5 0

{ x + y = 5 * ( -3 )
3x + 2y = 10

- 3 x - 3 y = - 15
3 x + 2y = 10
_______________
- y = - 5 * ( -1 )

y = 5

For x :

3 x + 2 y = 10

3 x + 2 * ( 5 ) = 10

3 x + 10 = 10

3 x = 10 - 10

3 x = 0

x = 0 / 3

x = 0

X = 0 and y = 5

hope this helps!

You might be interested in

Can someone Please help me on this math problem

sdas [7]

Answer:

False

Step-by-step explanation:

Residuals are the measure of the error in the fit. The square of their sum gives no weight to the sign of the error, but gives greater weight to larger errors. The fit will be better when the error is smaller. In this scenario, Line B is a better fit.

The statement that Line A better fits the data is FALSE.

8 0

2 years ago

Hunter wants to prove to his parents that playing computer games while he studies for tests will help him get better grades. He

mars1129 [50]

His mistake was that he did not use a random sample. His tried to show that playing games would give him higher grades which his study does not decisively conclude because the people around him that play games are likely to be in the same academic caste as him, which skews his data. Choice B would be the best because he's not testing any variables, rather just collecting the unadultered data of the group.

7 0

3 years ago

Yall... help pls this is hard

madreJ [45]

Answer:

First one Or Last. I think the last one though

Step-by-step explanation:

3 0

3 years ago

A bottling plant fills one-gallon jugs with milk. The labels on the jugs state that the volume of milk they contain is 128 fluid

mamaluj [8]

Answer:

(1) The correct option is (B).

(2) The mean of the distribution of sample means is 19 fl. oz.

(3) The standard deviation of the distribution of sample means is 0.283 fl. oz.

(4) The correct option is (C).

Step-by-step explanation:

According to the Central Limit Theorem if we have a normal population with mean μ and standard deviation σ and a number of random samples are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

The mean of the sampling distribution of sample mean will be:

$\mu_{\bar x}=\mu$

And the standard deviation of the sampling distribution of sample mean will be:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The information provided is:

μ = 129

σ = 0.80

n = 8

(1)

The shape of the sampling distribution of sample mean will be Normal.

This is because the population from which the sample is selected is normal.

The correct option is (B).

(2)

Compute the mean of the distribution of sample means as follows:

$\mu_{\bar x}=\mu$

$=129$

Thus, the mean of the distribution of sample means is 19 fl. oz.

(3)

Compute the standard deviation of the distribution of sample means as follows:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

$=\frac{0.80}{\sqrt{8}}\\\\=0.282843\\\\\approx 0.283$

Thus, the standard deviation of the distribution of sample means is 0.283 fl. oz.

(4)

Any change in the sample size will have no effect on the mean of the distribution of sample means.

But, if the sample is increased or decreased than the standard deviation will be decreased or increased respectively.

This is because the standard deviation of the distribution of sample means is inversely proportional to the sample size.

So, for n = 100 the standard deviation is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

$=\frac{0.80}{\sqrt{10}}\\\\=0.282843\\\\\approx 0.08$

Thus, the standard deviation was decreased.

The correct option is (C).

7 0

4 years ago

1.which expression is equivalent to x² 10x 24?(x 1)(x 24)(x 4)(x 6)(x 2)(x 12)(x 3)(x 8)

Harrizon [31]

x2 − 10x − 24 x 2 - 10 x - 24 this expression is equivalent to x² 10x 24 (x 1)(x 24) (x 4)(x 6)(x 2)(x 12)(x 3)(x 8).

<h3>What are algebraic expressions?</h3>

A logarithmic articulation is a numerical expression that incorporates factors, constants, coefficients, and mathematical tasks. To increase two logarithmic articulations, we duplicate each term of the main articulation with each term of the subsequent articulation and join every one of the items. In a mathematical articulation, a term might comprise of a steady, one variable, a result of at least two factors, a result of both the variable and consistent part. Moreover, the mathematical terms can be both positive and negative. There are significantly three sorts of mathematical articulations.

Learn more about algebraic expressions, refer:

brainly.com/question/17108023

#SPJ4

6 0

2 years ago