Answer:
y=5.7
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
This isn't too difficult once you understand it.
The bottom left angle of the left triangle (on the other side of 110), that angle is congruent to the 70 degrees angle. that angle is 70 degrees. y = 90 degrees, 90 + 70 = 160
180 - 160 = 20
Considering the situation described, we have that:
a) The critical value is of z = -1.645.
b) Since the test statistic is less than the critical value, we should reject the null hypothesis H0.
<h3>What is the critical value?</h3>
We have a left-tailed test, as we are testing if the proportion is less than a value. Hence the critical value is z with a p-value equals to the significance level, hence z with a p-value of 0.05, hence z = -1.645.
<h3>What is the decision?</h3>
Considering the test statistic, for a left-tailed test, we have that:
- Less than the critical value: Reject H0.
- Equal or greater: Do not reject.
In this problem, z = -2.39 is less than -1.645, hence we should reject the null hypothesis H0.
More can be learned about the test of an hypothesis at brainly.com/question/13873630
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Answer:
Here, 
denotes the required number.
Step-by-step explanation:
Let denotes the required number that satisfies the following condition.
''seven times a number is less than or equal to a quantity that is 24 less than that same number''
Seven times a number is equal to 
Quantity that is 24 less than that same number is equal to 
Now find the inequality.
As seven times a number is less than or equal to a quantity that is 24 less than that same number,
