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LiRa [457]
3 years ago
7

In a triangle, JKL,< J measures 35 degrees and k is a right angle. What's the measure of l.

Mathematics
2 answers:
e-lub [12.9K]3 years ago
8 0

Answer:

55 degrees

Step-by-step explanation:

Hello There!

If you didn't know the measure of all of the angles in a triangle have a sum of 180

So to find a missing angle we subtract the two given angles from 180

We are given that one angle = 35 degrees

and another angle is a right angle

(a right angle measure 90 degrees)

Given this information we can find the missing angle of I

angle I = 180 - 90 - 35

180 - 90 - 35 = 55

so we can conclude that the measure of angle I is 55 degrees

balandron [24]3 years ago
7 0

Answer:

55°

Step-by-step explanation:

180 - 35 - 90 = 55°

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A rectangular picture frame has a width of 9 cm and a length of x cm.
Fantom [35]

Answer:

x+9

Step-by-step explanation:

the perimeter of any polygon is the sum of all the sides

7 0
2 years ago
The number of events is 29​, the number of trials is 298​, the claimed population proportion is​ 0.10, and the significance leve
Nina [5.8K]

Answer:

z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155  

p_v =2*P(Z  

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly different from 0.1 .  

Step-by-step explanation:

1) Data given and notation

n=298 represent the random sample taken

X=29 represent the events claimed

\hat p=\frac{29}{298}=0.0973 estimated proportion

p_o=0.1 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is 0.1 or no.:  

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

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.

3) Calculate the statistic  

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

z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155  

4) 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 next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(Z  

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly different from 0.1 .  

We can do the test also in R with the following code:

> prop.test(29,298,p=0.1,alternative = c("two.sided"),conf.level = 1-0.05,correct = FALSE)

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2 years ago
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Step-by-step explanation:

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podryga [215]
<span>This one is the correct answer----->Multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together.

</span><span>X + 6y = 2 ....top
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then we solve for x =>   x = 22/9 

then with the top equation, we solve for y == >  y = -2/27</span>
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The box plot on this page shows the total amount of time, in minutes, the students of a class surf the Internet every day:
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Answer:

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Step-by-step explanation:

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