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3 years ago

Simplify by combining like terms: 5x + 3x + 10x

Mathematics

2 answers:

Maurinko [17]3 years ago

8 0

Answer:

18x

Step-by-step explanation:

Since all 3 are monomial terms with the same variable, we can add them together:

5x + 3x = 8x + 10x = 18x

Sholpan [36]3 years ago

5 0

Answer: 18x

Explanation: The three parts of this expression, +5x, +3x, and +10x are called terms and the numbers in front of the variables, +5, +3, and +10 are called coefficients.

Because the variables, x, x, and x are identical,

the three terms in this problem are called like terms.

Like terms can be added together

by simply adding their coefficients.

So in this problem, since 5 + 3 + 10 is 18, 5x + 3x + 10 is simply 18x.

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Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow

Pavel [41]

Answer:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

Step-by-step explanation:

Data given and notation

$\bar X_{1}=104$ represent the mean for the sample 1

$\bar X_{2}=106$ represent the mean for the sample 2

$\sigma_{1} =8.4$ represent the population standard deviation for the sample 1

$\sigma_{2}=7.6$ represent the population standard deviation for the sample 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0: $\mu_{1}-\mu_{2} =0$

H1: $\mu_{1} -\mu_{2} \neq 0$

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

7 0

3 years ago

factorise the following 1. x²-2x+15.... 2. y²-19y+90

Marta_Voda [28]

Answer:

1. x²-2x+15

This can't be factored, I've tried multiple ways now, but it just can't be factored.

2. y²-19y+90

Let's factor y^2−19y+90

y^2−19y+90

The middle number is -19 and the last number is 90.

Factoring means we want something like

(y+_)(y+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -19

Multiply together to get 90

Can you think of the two numbers?

Try -9 and -10:

-9+-10 = -19

-9*-10 = 90

Fill in the blanks in

(y+_)(y+_)

with -9 and -10 to get...

(y-9)(y-10)

Answer:

(y−9) (y−10)

3 0

3 years ago

PLEASE HELP I ONLY HAVE AN HOUR

skelet666 [1.2K]

Answer:

A. I can't quite see the question, but I'm pretty sure it's A

Step-by-step explanation:

Sin(A) = 1/3

Sin^2(A) + Cos^2(A) = 1

(1/3)^2 + cos^2(A) = 1

1/9 + cos^2(A) = 1

cos^2(A) = 1 - 1/9

cos^2(A) = 8/9

cos(A) = √(8/9)

√8 = √(2 * 2 * 2) = 2√2

√9 = 3

cos(A) = 2√2/3

4 0

3 years ago

Can someone pls help

Katyanochek1 [597]

Answer:

x = 35

Step-by-step explanation:

Sum of angles of triangle = 180°

60 + 60 + 4x - 80 = 180
40 + 4x = 180
4x = 140
x = 140/4
x = 35°

3 0

3 years ago

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Murljashka [212]

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3 years ago

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