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3 years ago

Simplify 4+(9×2)÷(4-2)+1

Mathematics

2 answers:

arlik [135]3 years ago

7 0

The answer is 14.

Using the steps of pemdas, solve what's inside the parentheses, from left to right.

4+(9×2)÷(4-2)+1

4+18÷2+1

Divide the 18 by 2.

4+9+1

Complete the addition from left to right.

13+1

kogti [31]3 years ago

3 0

First we have to work out everything inside the parentheses (according to PEMDAS):

9 × 2 = 18

4 - 2 = 2

Now, we can rewrite the expression:

4 + 18 ÷ 2 + 1

According to PEMDAS, we should complete the division in the middle first:

18 ÷ 2 = 9

Now we can rewrite the expression again:

4 + 9 + 1

And now it's as simple as just adding the three numbers together:

4 + 9 + 1 = 14

Your final answer is 14. :)

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An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y

Kay [80]

Answer:

$t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28$

Now we can calculate the p value with the following probability:

$p_v =2*P(t_{60}$

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

$\bar X_{1}=14$ represent the mean for sample 1 (younger)

$\bar X_{2}=20$ represent the mean for sample 2 (older)

$s_{1}=5$ represent the sample standard deviation for 1

$s_{f}=6$ represent the sample standard deviation for 2

$n_{1}=31$ sample size for the group 2

$n_{2}=31$ sample size for the group 2

t would represent the statistic

System of hypothesis

We want to test if that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

The statistic is given by:

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

And the degrees of freedom are given by $df=n_1 +n_2 -2=31+31-2=60$

Replacing the info given we got:

$t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28$

Now we can calculate the p value with the following probability:

$p_v =2*P(t_{60}$

6 0

3 years ago

For a population with u=100 and a=20, what is the z-score that corresponds to x=90?

max2010maxim [7]

I guess that u = μ & that a=σ. If so:

μ =100 & that σ =20 & x=20

Z score = (x-μ) / σ ==> Z score = (90-100)/20 ==> Z = - 0.5

3 0

3 years ago

Write the slope-intercept form of the equation.<br><br> 5x – y = 10

Rashid [163]

Answer:

y=5x-10

Step-by-step explanation:

5x - y = 10

-y = -5x + 10

y = 5x -10

4 0

2 years ago

Read 2 more answers

X + 4y = 16<br> -X + 3y = -2

jeyben [28]

Answer:

(8, 2 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 16 → (1)

- x + 3y = - 2 → (2)

Adding the 2 equations term by term will eliminate the x- term

0 + 7y = 14

7y = 14 ( divide both sides by 7 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for x

Substituting into (1)

x + 4(2) = 16

x + 8 = 16 ( subtract 8 from both sides )

x = 8

solution is (8, 2 )

7 0

3 years ago

Complete factorization f(x)=x^4-x^3-5x^2-x-6

Marianna [84]

The solution to the above factorization problem is given as f′(x)=4x³−3x²−10x−1. See steps below.

<h3>What are the steps to the above answer?</h3>

Step 1 - Take the derivative of both sides

f′(x)=d/dx(x^4−x^3−5x^2−x−6)

Step 2 - Use differentiation rule d/dx(f(x)±g(x))=d/dx(f(x))±d/dx(g(x))

f′(x)=d/dx(x4)−d/dx(x^3)−d/dx(5x^2)−d/dx(x)−d/dx(6)

f′(x)=4x^3−d/dx(x3)−d/dx(5x^2)−d/dx(x)−d/dx(6)

f′(x)=4x^3−3x2−d/dx(5x^2)−d/dx(x)−d/dx(6)

f′(x)=4x^3−3x^2−10x−d/dx(x)−d/dx(6)

f′(x)=4x^3−3x^2−10x−1−dxd(6)

f′(x)=4x^3−3x^2−10x−1−0

Learn more about factorization:
brainly.com/question/25829061
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5 0

2 years ago