cubed root of 4896 = 16.98
round to 17
17-1 = 16
17 +1 = 18
16* 17 *18 = 4896
bin is 16 in x 17 in x 18 in
Old
9.99×55
=549.45
New
10.68×55
=587.4
((10.68÷9.99)−1)×100
=6.9%
The <em><u>correct answer</u></em> is:
Her variable expenses can be reduced.
Explanation:
In a household budget, you have fixed expenses and variable expenses.
Fixed expenses are expenses that are the same from month to month, such as a car payment, rent, power bill, etc. These cannot be reduced; if you were to pay less on your car payment, your car would be repossessed; paying less than you owe on the power bill can result in your power being disconnected; etc.
Variable expenses are expenses that are different from month to month, such as food, clothing, shopping, etc. If you are dealing with a situation where your wages are less than you anticipate, you can reduce items within your variable expenses to make sure you have enough money. For example, you can purchase fewer clothes that pay period or cut your grocery bill down.
A. The mean and standard deviation.
The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.
The standard deviation of a sample distribution is equal to,
u(m) = u/sqrt n
Substituting the known values,
u(m) = 6.9 / sqrt 25 = 1.38
b. Get the z-score of both items,
z-score = (data point - mean) / standard deviation
z-score of 172.5
z-score = (172.5 - 174.5) / 1.38 = -1.49
This translates to 0.068.
z-score of 175.8
z-score = (175.8 - 174.5) / 1.38 = 0.94
This translates to 0.83.
The difference between the two z-scores is 0.762.
The number of samples with this height is 0.762(200) which is equal to approximately 152.
c. z-score of 172 centimeters
z-score = (172 - 174.5) / 1.38
z-score = -1.81
This translates to 0.03.
The number of people with this height from the sample is (0.03)(200) = 6
Answer:
option C. Angle BTZ Is-congruent-to Angle BUZ
Step-by-step explanation:
Point Z is equidistant from the vertices of triangle T U V
So, ZT = ZU = ZV
When ZT = ZU ∴ ΔZTU is an isosceles triangle ⇒ ∠TUZ=∠UTZ
When ZT = ZV ∴ ΔZTV is an isosceles triangle ⇒ ∠ZTV=∠ZVT
When ZU = ZV ∴ ΔZUV is an isosceles triangle ⇒ ∠ZUV=∠ZVU
From the figure ∠BTZ is the same as ∠UTZ
And ∠BUZ is the same as ∠TUZ
So, the statement that must be true is option C
C.Angle BTZ Is-congruent-to Angle BUZ
