Question text

Assume that a company hires employees on Mondays, Tuesdays, or Wednesdays with equal likelihood.a. If two different employees ar

horsena [70]

Answer:

$P(A) = \frac{1}{9}$

$P(B) = \frac{1}{3}$

$P(C) = \frac{1}{729}$

Step-by-step explanation:

We know that:

Only employees are hired during the first 3 days of the week with equal probability.

2 employees are selected at random.

So:

A. The probability that an employee has been hired on a Monday is:

$P(M) = \frac{1}{3}$ .

If we call P(A) the probability that 2 employees have been hired on a Monday, then:

$P(A) =P(M\ and\ M)\\\\P(A)=( \frac{1}{3})(\frac{1}{3})\\\\P(A) = \frac{1}{9}$

B. We now look for the probability that two selected employees have been hired on the same day of the week.

The probability that both are hired on a Monday, for example, we know is $P(A) = \frac{1}{9}$ . We also know that the probability of being hired on a Monday is equal to the probability of being hired on a Tuesday or on a Wednesday. But if both were hired on the same day, then it could be a Monday, a Tuesday or a Wednesday.

So

$P(B) = \frac{1}{9} + \frac{1}{9} + \frac{1}{9}\\\\P(B) = \frac{1}{3}$ .

C. If the probability that two people have been hired on a specific day of the week is $3(\frac{1}{3}) ^ 2$ , then the probability that 7 people have been hired on the same day is:

$P(C) = (\frac{1}{3}) ^ 7 + (\frac{1}{3}) ^ 7 + (\frac{1}{3}) ^ 7\\\\P(C) = \frac{1}{729}$

D. The probability is $\frac{1}{729}$ . This number is quite close to zero. Therefore it is an unlikely bastate event.

6 0

3 years ago

A 36 ft tree casts a 9 ft shadow at the same time a building casts a 15 ft shadow. How tall is the building?

mote1985 [20]

Answer: The height of the tree is 27f t

Step-by-step explanation: We can set up a proportion comparing the height of each object to the length of the shadow.

h/s

h/15=18/10

Cross multiply

10.h= 18*15

10h=270

Use the multiplicative Inverse

10 h/ 10 = <em><u>270 /10 =27</u></em>

7 0

3 years ago

The formula for the area of a triangle is , where b is the length of the base and h is the height. Find the height of a triangle

Alexandra [31]

The area of a triangle is A= 1/2bh. Plugging in the values you know, 30= 1/2*12*h.

Solving for h,

30= 1/2*12*h

30= 6h

h=5

The height of the triangle is 5 units.

3 0

3 years ago

Please help! Will mark Brainiest!

DochEvi [55]

Answer:

27.93 square yard

Step-by-step explanation:

For semicircle:

Radius (r) = 7 yards

For Triangle:

b = 2r = 2*7 = 14 yd

h = 7 yard

Area of shaded region = Area of semicircle - Area of triangle

$= \frac{1}{2} \times \pi {r}^{2} - \frac{1}{2} \times b \times h \\ \\ = \frac{1}{2} \times 3.14 \times {7}^{2} - \frac{1}{2} \times 14\times 7 \\ \\ = \frac{1}{2} \times 3.14 \times 49 - \frac{1}{2} \times 98\\ \\ = 3.14 \times 24.5 - 49 \\ \\ = 76.93 - 49 \\ \\ = 27.93 \: {yd}^{2} \\$

7 0

3 years ago

Tom and Jack “power walk” towards each other at the same time. Tom’s walking speed is 2.3 m/s, Jack’s speed is 2.2 m/s. They mee

garri49 [273]

Answer:405 meters apart. I think the m means meters, if it meant miles that would be incredible :)

Step-by-step explanation: 2.3 times 1.5 minutes is 90 seconds, so 2.3 times 90=207. 2.2 times 90 =198. 207+198=405

8 0

3 years ago