1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svet-max [94.6K]
4 years ago
6

If p || r, then what is m∠G

Mathematics
1 answer:
Zanzabum4 years ago
7 0
We have a case of two parallel lines with a transversal intersecting these lines. To find the m∠G, we are going the use the Alternate Exterior Angles Theorem, stating that two angles who lie on opposite sides of the transversal, not located in the interior, are congruent. 

Therefore, the m∠G = 34°

Hope this helps! :^)
You might be interested in
A manufacturer of a new medication on the market for Alzheimer's disease makes a claim that the medication is effective in 65% o
NeX [460]

Answer:

z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309  

p_v =P(z  

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 adults with the medication was effective is not significantly less than 0.65

Step-by-step explanation:

Data given and notation

n=180 represent the random sample taken

X=115 represent the adults with the medication was effective

\hat p=\frac{115}{180}=0.639 estimated proportion of adults with the medication was effective

p_o=0.65 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)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that true proportion is less than 0.65.:  

Null hypothesis:p \geq 0.65  

Alternative hypothesis:p < 0.65  

When we conduct a proportion test we need to use the z statisitc, 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{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309  

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=0.05. The next step would be calculate the p value for this test.  

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

p_v =P(z  

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 adults with the medication was effective is not significantly less than 0.65

3 0
3 years ago
i am a decimal number less than 1. the digit in my tenths place is an even prime number. my hundredths digit is twice my tenths
tankabanditka [31]

Answer:

.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Eric is 6ft 2 in. tall. His brother is 4ft 9 in.tall.How many inches taller is Eric than his brother?
Oksanka [162]

Answer:

17

Step-by-step explanation:

6ft and 2 in === 74 in

4ft and 9 in === 57 in

74-57 = 17 in

5 0
3 years ago
Read 2 more answers
What is 16 less than a number
Gre4nikov [31]
Less than mean subtracting
7 0
3 years ago
Read 2 more answers
What is the 43rd term of the sequence: 17, 9, 1, -7
Yuki888 [10]

Answer:

-319

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • An ecologist took samples of several different tundra plants.
    7·2 answers
  • Miss has a sheet of wrapping paper 85cm in length and 60 cm in width. She cuts the paper into rectangular pieces of length 20 cm
    8·1 answer
  • The graph compares the weights in pounds of 100 dogs and cats that are brought in to a veterinarian's office. Select from the dr
    11·2 answers
  • Tom bought five candy bars and paid a total of 6.75, including tax. if each candy bar cost 1.25, how much tax did Tom pay?
    11·1 answer
  • Taxi Fares are normally distributed with a mean fare of $22.27 and a standard deviation of $2.20.
    8·1 answer
  • Pls help 25 points and brainliest.
    12·2 answers
  • Solve each equation.<br> X – 10 = 4<br> Math
    12·2 answers
  • Kelly rides the bus to work d days each month. She pays a fare of $2.25 each time. On t of those days, she pays an additional fa
    14·1 answer
  • 4. A man who is 40 years old wants to begin exercising daily. Calculate his target heart
    9·1 answer
  • The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!