We first determine the z-scores for the given x-values of 64 and 96.
For x = 64: z = (64 - 80) / 8 = -2
For x = 96: z = (96 - 80) / 8 = 2
Therefore we find the probability that -2 < z < 2, which is around 0.95. Therefore, out of 100 students, approximately 100(0.95) = 95 students will weigh between 64 and 96 pounds.

7 0

3 years ago

Sophia owns a clothing store that sells graphic T-shirts. n is the number of

goldenfox [79]

Answer:

n = 150

Step-by-step explanation:

If n is the number of T-shirt sell each month, then the revenue function of Sophia's store is r = 21n .......... (1)

and the cost function of her store is C = 16n + 750 ........ (2)

Now, at break-even point, the revenue of a business is equal to its cost.

Therefore, r = C {From equations (1) and (2)}

⇒ 21n = 16n + 750

⇒ 5n = 750

⇒ n = 150

So, the break-even point of the store will occur when the number of T-shirt production is 150. (Answer)

8 0

2 years ago

Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find

Anastasy [175]

Required area of shaded portion

= Area of square ABCD - 4 × area of one quadrant

$= 14 \times 14 - 4 \times \frac{90}{360} \times \frac{22}{7} \times (7) \times (7)$

$= 196 - 154 = 42 \: cm {}^{2}$

3 0

2 years ago