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monitta
3 years ago
15

Question text

Mathematics
1 answer:
Ede4ka [16]3 years ago
7 0
The answer is 25, I hope this helps you.
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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
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