If two adjacent angles have their exterior sides in perpendicular lines, then the two angles are also perpendicular. Exterior and interior angles sum up to 180 degrees. Hence if the exterior angle is perpendicular, then the interior angle should also be perpendicular in order to sum up to 180 degrees.
Answer:
The test is left - tailed
We cannot reject the organization's claim ( its cheapest screens will truly last less than 2.8 years)
Step-by-step explanation:
Sample size, n = 61
Sample mean,
Standard deviation,
Significance level, α=0.02
Null hypothesis,
Alternative hypothesis,
It is clearly seen from the alternative hypothesis, that it is a left tailed test. It is not tailed towards the two directions.
Calculate the test statistic:
Calculate the P-value:
P(Z < -3.35) = 0.0002
Since (p-value = 0.0002) < (α=0.02), the null hypothesis is rejected.
It can therefore be concluded that the mean of the cheapest screen is less than 2.8 years. i.e. the cheapest screen will last less than 2.8 years
Answer: The yearly birth rate = 5.24%
Step-by-step explanation:
Birth Rate (or crude birth rate) The number of live births per 1,000 population in a given year.
The population increased from 50000 to 82436 within 10 years
increase = 82436 - 50000
= 32436
Rate = increase ÷ number of years
= 32436/10
=3243.6 per year
Natural increase rates are calculated as a percentage
dividing the result by 1000
3243.6/ 1000
3.24
multiplying the result by 100
3.24%
Natural increase = (birth rate - death rate) X 100
3.24 = BR - 2
BR = 3.24 + 2
BR = 5.24%
The yearly birth rate = 5.24%
Answer:
x = 25
Step-by-step explanation:
- Write out your equation: 55° = (x + 30)°
- Subtract 30 from each side, so it now looks like this: 25 = x
I hope this helps!
Answer:
B.) B
Step-by-step explanation:
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