Answer:
x=80
Step-by-step explanation:
The sum of interior angles in a quadrilateral is 360°
the square represents a right angle= 90 degrees
124+66+90=280
360-280=80
x=80
Answer:
the solution is (-4, 2)
Step-by-step explanation:
6x + 8y = -8
x + 4y = 4
... can be solved using elimination by addition and subtraction, among other methods. Multiply the second equation by -2 to obtain
6x + 8y = -8
-2x - 8y = -8
Combining these results in
4x = -16. Thus, x = -4.
Substituting -4 for x in x + 4y = 4 results in
-4 + 4y = 4, or 4y = 8, or y = 2
Then the solution is (-4, 2)
Answer:
<u>12.5% ≈ 13%</u>
Step-by-step explanation:
The rest of the question is: There are 75 pills in the batch.
The current batch of pills is the first of the day and our goal is to produce a total of 600.
If there are 75 pills in the batch so percentage of goal completed will be
[(number of pills in the batch)/(Total pills)] * 100

≈ 13% to the nearest whole number
Answer:
When we compare the significance level
we see that
so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
Since is a two sided test the p value would be:
Conclusion
When we compare the significance level
we see that
so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.