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alex41 [277]
3 years ago
12

Use elimination to solve and match each system of equations to the correct solution.

Mathematics
2 answers:
andrey2020 [161]3 years ago
8 0

Answer:

Step-by-step explanation:

5x + 12y = -34

-6x - 12y = 36

-x = 2

x = -2

5(-2) + 12y = -34

-10 + 12y = -34

12y = -24

y = -2

(-2, -2)

Dafna11 [192]3 years ago
6 0

Answer:

x = -2 y= -2

Step-by-step explanation:

5x+12y= -34

2x+ 4y = -12

2x= -4y -12

x= -2y -6

plug back in

5(-2y -6) +12y = -34

-10y -30 +12y = -34

2y = -4

y= -2

2x+4y=-12

4y= -2x -12

y= -.5x -3

plug back in

5x+ 12(-.5x-3)=-34

5x -6x -36 = -34

-x = 2

x= -2

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According to a Pew Research Center study, in May 2011, 35% of all American adults had a smart phone (one which the user can use
taurus [48]

Answer:

z=\frac{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82  

p_v =P(z>1.82)=0.034  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis

And the best conclusion would be:

There is enough evidence to show that more than 35% of community college students own a smart phone (Pvalue = 0.034).

And for the second case the correct system of hypothesis is:

H0: p = 0.078; Ha: p > 0.078

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

\hat p=\frac{120}{300}=0.4 estimated proportion of college students that have a smart phone

p_o=0.35 is the value that we want to test

\alpha=0.1 represent the significance level

Confidence=90% or 0.90

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is >0.35.:  

Null hypothesis:p\leq 0.35  

Alternative hypothesis:p > 0.35  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.1. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>1.82)=0.034  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis

And the best conclusion would be:

There is enough evidence to show that more than 35% of community college students own a smart phone (Pvalue = 0.034).

And for the second case the correct system of hypothesis is:

H0: p = 0.078; Ha: p > 0.078

4 0
3 years ago
PLEASE, ANSWER WILL GIVE BRAINLIEST
balu736 [363]
0.30 • 18 = 5.4
0.30 • 40 = 12
0.30 • 9 = 2.7
0.30 • 70 = 21
0.30 • 48 = 14.4
0.30 • 26 = 7.8
0.30 • 14 = 4.2
Add the sums together which would be 67.5
Subtract $100 from $67.5 and that would be $32.5

Answer: $32.50 change
7 0
3 years ago
A roll of 100 pennies is in the shape of a right cylinder. Each penny has a diameter of 0.75 inches and a thickness of 0.04 inch
zalisa [80]

Answer:

  • (B) π(0.75/2)²(4)

Step-by-step explanation:

<u>The volume formula:</u>

  • V = πr²h

<u>Given:</u>

  • d = 0.75 in ⇒ r = d/2 = 0.75/2 in
  • h = 0.04 in

<u>The volume of each penny:</u>

  • V = π(0.75/2)²(0.04)

<u>The volume of 100 pennies:</u>

  • V = 100*π(0.75/2)²(0.04) = π(0.75/2)²(4)

Correct choice is B

6 0
3 years ago
Read 2 more answers
Mr. Denning bought a jacket for $67.50
Butoxors [25]

67.50 + 12.50 = 80

80/100 = 0,8 x 3 = 2.4

so, the total bill was 80 + 2.4 = 82.4

<em>hope it helps :)</em>

6 0
3 years ago
Demetrius deposits $120 iinto his account. One week later he withdraws $36. Write an addition sentence to represent this situati
Zolol [24]

Answer:

Demetrius's account is $84 higher after the two transactions

Step-by-step explanation:

Let

x -----> original amount in Demetrius's account

y ----> amount in Demetrius's account after the deposit and the withdraws

we know that

The amount in Demetrius's account after the two transactions must be equal to the original amount in Demetrius's account plus the deposit minus the withdraws

so

y=x+120-36

y=x+\$84

therefore

Demetrius's account is $84 higher after the two transactions

3 0
3 years ago
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