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ArbitrLikvidat [17]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
horsena [70]3 years ago
8 0

Answer:

98

Step-by-step explanation:

all interior angles add up to 180 so the third angle is53+45=98 so 180-98=82

X=180-82whiCh is 98

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A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in deter
lbvjy [14]

Answer:

z=\frac{0.85 -0.8}{\sqrt{\frac{0.8(1-0.8)}{100}}}=1.25  

p_v =P(z>1.25)=0.106  

If we compare the p value obtained and the significance level given \alpha=0.05 we see that 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 people who favored candidate A  is not significalty higher than 0.8

ii) not significantly greater than 80%

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

\hat p=0.85 estimated proportion of people who favored candidate A

p_o=0.8 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  the true proportion is higher than 0.8.:  

Null hypothesis:p\leq 0.8  

Alternative hypothesis:p > 0.8  

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{0.85 -0.8}{\sqrt{\frac{0.8(1-0.8)}{100}}}=1.25  

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 right tailed test the p value would be:  

p_v =P(z>1.25)=0.106  

If we compare the p value obtained and the significance level given \alpha=0.05 we see that 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 people who favored candidate A  is not significalty higher than 0.8

ii) not significantly greater than 80%

8 0
2 years ago
Express the ratio as a fraction in simplest form. 18 : 12
Mashutka [201]
The answer is 9:1. All you have to do is simplify it
7 0
3 years ago
The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the
hjlf

Answer:

Side known in ratio as 8: 32

Side known in ratio as 9: 36

Side known in ration as 10: 40

Step-by-step explanation:

We can add all the numbers in the ration to form the sum of all the sides, or also equal to perimeter. 8+9+10 equals 27.

So we can write 27x=108

x=4. Multiply 4 to 8, then 9, then 10. You get 32, 36, 40

Hope this helped, Have a Great Day!!

4 0
2 years ago
2 QUESTIONS 50 POINTS!!! Question 1: A car's odometer starts at 25 miles and for every 25 miles traveled, 1 gallon of gas is use
Arte-miy333 [17]

Answer:

1: is in fact graph 3 2: however I do not use a ray tool so sorry on that one brother

5 0
2 years ago
The number of keys Nicholas has if Luis has twice as many as Juanita, who has three fewer than Ahmed, who has three more than Ni
il63 [147K]

Answer:

7

Step-by-step explanation:

Nicholas: x

Luis: 2(7) = 14

Juanita: 10 - 3 = 7

Ahmed: 10

           

Ahmed - 3 keys = Nicholas

10 - 3 = x

x = 7

8 0
2 years ago
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