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elena-s [515]
3 years ago
8

Assuming the lines are parallel angel 4 corresponds with angle ___

Mathematics
2 answers:
Soloha48 [4]3 years ago
6 0

Answer:

∠ 2

Step-by-step explanation:

∠ 2 corresponds to ∠ 4 because each is in the same position, the upper right- hand corner, in its group of 4 angles.

nydimaria [60]3 years ago
5 0

Answer:

Angle 2

Step-by-step explanation:

They're in the same positions on the same transversal and different parallel lines. Stay safe :)

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The chart shows a production possibilities schedule for Sabrina’s Soccer.

Combination: Soccer balls: Soccer nets:

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C 6 2

D 4 3

E 2 4

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A. The opportunity cost of producing one soccer net is eight soccer balls.

B. The opportunity cost of producing two soccer nets is two soccer balls.

C. The opportunity cost of producing two soccer balls is one soccer net.

D. The opportunity cost of producing four soccer balls is three soccer nets.

The opportunity cost of producing two soccer balls is one soccer net.

Answer: Option 3

<u>Explanation:</u>

Opportunity cost is when a particular option is chosen from the alternatives given, the opportunity cost is the cost incurred by not enjoying the benefit associated with the best alternative choice.

The problem of the opportunity cost occurs because the resources given in the economy are limited in availability and there fore because of that there has to be some choices that are to be made among the alternatives given in the economy.

In this example it shows that for producing two soccer balls, the opportunity cost is one soccer net.

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What's the simplified form of this expression? 3-[-2/3 x (7 +2) =11]
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Answer:

x = 4/3

Step-by-step explanation:

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Antonio is going to the carnival. He can spend no more than $20.00. if the ticket to in is $7.50, and each ride cost $1.25, how
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An auto company claims that the fuel efficiency of its sedan has been substantially improved. A consumer advocate organization w
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Answer:

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021

df=n-1=12-1=11

p_v =P(t_{(11)}>2.021) =0.0342

If we compare the the p value with the significance level provided \alpha=0.1, we see that p_v < \alpha, so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations (This problem) we can use it.  

Let put some notation :

x=test value 2017 , y = test value 2019

x: 28.7 32.1 29.6 30.5 31.9 30.9 32.3 33.1 29.6 30.8 31.1 31.6

y: 31.1 32.4 31.3 33.5 31.7 32.0 31.8 29.9 31.0 32.8 32.7 33.8

Solution to the problem

The system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x \leq 0

Alternative hypothesis: \mu_y -\mu_x >0

Because if we have an improvement we expect that the values for 2019 would be higher compared with the values for 2017

The first step is calculate the difference d_i=y_i-x_i and we obtain this:

d: 2.4, 0.3, 1.7,3,-0.2, 1.1, -0.5, -3.2, 1.4, 2, 1.6, 2.2

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{11.8}{12}=0.983

The third step would be calculate the standard deviation for the differences, and we got:

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =1.685

We assume that the true difference follows a normal distribution. The 4th step is calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021

The next step is calculate the degrees of freedom given by:

df=n-1=12-1=11

Now we can calculate the p value, since we have a right tailed test the p value is given by:

p_v =P(t_{(11)}>2.021) =0.0342

If we compare the the p value with the significance level provided \alpha=0.1, we see that p_v < \alpha, so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

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2 years ago
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