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trapecia [35]
2 years ago
13

Find the measure of angle A. x + 47 780 x + 61 A) 31° B) 44° C) 51°

Mathematics
2 answers:
kondaur [170]2 years ago
5 0
A hope it’s correct
miskamm [114]2 years ago
3 0

Answer:

180 degrees in a triangle

180 - 78 - 47- 61 = -6

2X = -6

-6/2 = -3

-3 + 47 = 44

-3+61= 58

78 + 58 + 44= 180

A = 44 degrees

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dezoksy [38]
Multiply 2/3 by 8 and you will get 16/3 or 5.33 repeating.
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3 years ago
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Fowle Marketing Research Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean tim
sergejj [24]

Answer:

a) Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

b) t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958      

c) p_v =P(t_{34}>2.958)=0.0028    

d) If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 1% of signficance.  

Step-by-step explanation:

Data given and notation  

The sample mean is given by:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And the sample deviation is:

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

\bar X=17 represent the sample mean    

s=4 represent the sample standard deviation

n=35 sample size  

\mu_o =15 represent the value that we want to test  

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

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

Part a State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is less or equal than 15, the system of hypothesis would be:  

Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

Since we don't  know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Part b Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958  

Part c P-value  

The degrees of freedom are given by:

df = n-1= 35-1=34

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

p_v =P(t_{34}>2.958)=0.0028  

Part d Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 1% of signficance.  

7 0
3 years ago
How to solve a system of three equations with substitution
zloy xaker [14]

Answer:

Usually there are the variables x y z but it doesn't matter what they are.

Step-by-step explanation:

First choose your first variable to solve. Find x by putting all the numbers and variables to one side.

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Once you have solved 2 variables then you are able to solve z.  

If you have questions please feel free to ask in the comments below.

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3 years ago
Turn .125 to a proper fraction
klio [65]

Answer:

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Step-by-step explanation:

Start by multiplying both the top and bottom by 1,000, to get 125/1,000. Then simplify the fraction if you'd like to. For example, you should see that both the top and bottom are dividable by 5, so divide them each by 5 to get 25/200.

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Maslowich
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