Answer:
23.58-th
Step-by-step explanation:
The standard deviation of company B's profit is:
Let X be the profit correspondent to the 14th percentile of company A's profit.
The z-score for 14th percentile of a normal distribution is roughly -1.08.
The z-scores for X in companies A and B are:
The z-score for X in company B's profit distribution is -0.72, which corresponds to the 23.58-th percentile.
Answer:
m∠R is 72°
Step-by-step explanation:
In the given figure
∵ ΔPQR ≅ ΔUVW
→ From congruency
∵ m∠P = m∠U
∵ m∠Q = m∠V
∴ m∠R = m∠W
∵ m∠R = (10x - 18)°
∵ m∠W = 8x°
∵ m∠R = m∠W
→ Equate their measures
∴ 10x - 18 = 8x
→ Add 18 to both sides
∵ 10x - 18 + 18 = 8x + 18
∴ 10x = 8x + 18
→ Subtract 8x from both sides
∴ 10x - 8x = 8x - 8x + 18
∴ 2x = 18
→ Divide both sides by 2 to find x
∴ x = 9
→ Substitute the value of x in the m∠R
∵ m∠R = 10(9) - 18
∴ m∠R = 90 - 18
∴ m∠R = 72°
∴ m∠R is 72°
If the square translates to 7 units on the right and 6 units downwards, the following changes will be made:
Point S will have the coordinates of (3, -5).
Point R will have the coordinates of (-1, -5).
Point U will have the coordinates of (-1, -9).
Point T will have the coordinates of (3, -9).
According to the only answer choices in the picture, only (-5, -3) is the only point that lies on a side of the pre-image, square RSTU.
Answer:
i don't know this one!
Step-by-step explanation:
sorry!
He will burn 225 calories. if you divide 150/20 it will equal 7.5 then multiply 7.5 by 30 and you’ll get 225
