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
yaroslaw [1]
4 years ago
15

I’m completely lost can anybody help solve this

Mathematics
1 answer:
Marizza181 [45]4 years ago
7 0

Answer:

\huge\boxed{x=54^o}

Step-by-step explanation:

<em>Look at the picture.</em>

<em />

We have:

l=108^o

Therefore

2\alpha=108^o           <em>divide both sides by 2</em>

\dfrac{2\alpha}{2}=\dfrac{108^o}{2}\\\\\alpha=54^o

You might be interested in
Tain has a great literary tradition that spans centuries. One might assume, then, that Britons read more than citizens of other
tresset_1 [31]

Answer:

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

z=3.02  

p_v =P(Z>3.02)=0.00127  

The p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

Step-by-step explanation:

1) Data given and notation  

X_{1}=0.86*1004 represent the number of Canadians randomly sampled by Gallup that read at least one book in the past year

X_{2}=0.81*1009 represent the number of Britons randomly sampled that read at least one book in the past year

n_{1}=1004 sample of Gallup selected

n_{2}=1009 sample of Britons selected

p_{1}=0.86 represent the proportion of Canadians randomly sampled by Gallup that read at least one book in the past year

p_{2}=0.81 represent the proportion of Britons randomly sampled that read at least one book in the past year

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion for men with red/green color blindness is a higher than the rate for women  , the system of hypothesis would be:  

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{0.81+0.86}{2}=0.835

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.86-0.81}{\sqrt{0.835(1-0.835)(\frac{1}{1004}+\frac{1}{1009})}}=3.02  

4) Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>3.02)=0.00127  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

5 0
4 years ago
A 5 1/2 quart pot is filled 2/3 of the way with water. How many more quarts of water can the pot hold?
kondaur [170]

The pot can hold 1/3 more "of the way." Then 1/3 of 5 1/2 quarts is:

(1/3)(11/2) = 11/6 quarts. The pot can hold 11/6 quarts total.

8 0
3 years ago
Read 2 more answers
19/100+7/10 wich fraction can be used in place of 7/10 to find the value of the expression​
Dimas [21]

Answer:

70/100.

Step-by-step explanation:

When adding fractions, you need to find a common denominator.

This just means that the numbers at the bottom of both fractions you are adding must be the same.

So for 19/100 + 1/10, you need to match the two denominators (bottom numbers).

To do this, you need to multiply 10 by 10 to get 100.

What you do to the bottom, you must always do to the top as well.

So multiply 7 by 10 and get 70.

70/100 will replace 7/10.

Now you can add fractions because the bottom numbers are the same.

4 0
3 years ago
Write in vertex form y= -3x^2-18x-31
9966 [12]

Answer:

I'm not sure if your asking for an entire equation but the points for the vertex would be (-3,-4)

5 0
3 years ago
Read 2 more answers
Andrew has 212 coins, all of
Igoryamba

Answer:

158 quarters

54 dimes

Step-by-step explanation:

Let d = no. of dimes

     q = no. of quarters

10d = value of all the dimes since each dime is worth 10 cents

and 25q = value of all the quarters since each quarter is worth 25 cents

$44.90 = 4490 cents

  10d + 25q = 4490              d + q = 212

<u> - 10d - 10q = -2120</u>

             15q = 2370

                 q = 158 quarters   d + 158 = 212

                                                        d = 54 dimes

8 0
3 years ago
Other questions:
  • PLEASE HELP ASAP!!!!
    7·1 answer
  • Kayak: $329.95, 33% off find the discount price
    11·1 answer
  • Lily owes $52000 in student loans for college. If the loan will be repaid in 5.5 years and the interest rate charged is 6.75%, t
    7·1 answer
  • 2 times 2 times 2 times what equal 28
    9·2 answers
  • A company rents water tanks shaped like cylinders. Each tank has a diameter of 8 feet and a height of 3 feet. The cost is $5 per
    6·1 answer
  • Please help!
    8·1 answer
  • Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • Write the slope-intercept form of the equation of each line given the slope and y-intercept.
    6·1 answer
  • This is my question it is kind of confusing but can you guys help me solve it thanks.
    10·1 answer
  • True or False: (EXPLAIN your answer) If angle CEF is complementary to angle DCF,
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!