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salantis [7]
3 years ago
9

A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl

. What is the probability that they will have at least one boy and at least one girl?
a. 0.5
b. 0.125
c. 0.75
d. 0.875
e. None of these
Mathematics
1 answer:
Ugo [173]3 years ago
6 0

Answer:

c. 0.75

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have the following sample space

That is, the possible outcomes.

I am going to call boys b and girls g

b - b - b

b - b - g

b - g - b

b - g - g

g - b - b

g - b - g

g - g - b

g - g - g

Total outcomes:

8 outcomes

What is the probability that they will have at least one boy and at least one girl?

Desired outcomes:

At least one boy and at least one girl

b - b - g

b - g - b

b - g - g

g - b - b

g - b - g

g - g - b

Six desired outcomes.

Probability

P = \frac{6}{8} = 0.75

The correct answer is:

c. 0.75

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Reuben Araújo received a $800 discount loan to purchase a washer and dryer. The loan was offered at 10% for 120 days. What are t
Kaylis [27]

The proceeds on the loan is $9600

Data;

  • Principal = $800
  • Rate = 10% = 0.1
  • Time = 120 days
  • Simple Interest
<h3>Simple Interest</h3>

To solve this problem, we need to calculate the simple interest of the loan which is done by the formula below

S.I = PRT

  • P = principal
  • R = rate
  • T = time

Let's substitute the values into the equation and solve

S.I = 800*0.1*120\\ S.I = 9600

The proceeds on the loan is $9600

Learn more on simple interest here;

brainly.com/question/26066433

6 0
3 years ago
At the store deli, Rita spent $13.45 on 5 pounds of cheese. How much would it cost to buy 2 pounds of cheese?
spayn [35]
Let x be he price of 2 pound of cheese. Then:
13.45/5 = x/2
x = 13.45*2/5
x = 5.38
The answer will be $5.38
4 0
3 years ago
Read 2 more answers
A unit vector lies in the xy plane, at an angle of 153 degrees from the x axis, with a positive y component. What is the unit ve
tino4ka555 [31]

Answer:

unit vector = -0.891i + 0.454j

Step-by-step explanation:

Given that;

magnitude of unit vector =

angle of 153° degrees from the x axis, with a positive y component

{ second quadrant }

so, x and y components of the vector are;

x component = 1 × cos(153°) = - 0.891

y component = 1 × sin(153°) = 0.454

⇒ -0.891i + 0.454j

Therefore, unit vector = -0.891i + 0.454j

3 0
3 years ago
The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00
xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

2.50x + 0.75y \leq22

Now, if there are three people in the group we have that x = 3.

2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8

Thus, they could travel a maximum of 5 people.

ANswer:

2.50x + 0.75y \leq22

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

7 0
3 years ago
Which table ordered pairs represents a linesr function (-7, 24) (0,2) (7,24) (14, 103)
mestny [16]

Answer:

which table ordered pairs represents a linesr function (-7, 24) (0,2) (7,24) (14, 103)

Step-by-step explanation:

7 0
3 years ago
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