1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Levart [38]
3 years ago
8

A school has two varsity basketball teams. One is the girls' team, and the other is the boys' team. On any given Saturday in Dec

ember, the probability that the girls' team will have a game is 0.8, and the probability that the boys' team will have a game is 0.7. The probability that both teams have games is 0.65.
On any given Saturday in December, what is the probability that either the girls' team or the boys' team has a game?
Answer choices:
0.65
0.7
0.8
0.85
Mathematics
1 answer:
belka [17]3 years ago
5 0

The probability that either the girls' or boys' team gets a game is 0.85            

Step-by-step explanation:

Step 1:

Let P(G) represent the probability of girls team getting a game and P(B) represent the probability of the boys team getting a game.

P(B ∪ G) represents the probability of either girls and boys team getting a game.

P(B ∩ G) represents the probability of both girls and boys team getting a game.

Step 2:

It is given that P(G) = 0.8, P(B) = 0.7 and P(B ∩ G) = 0.65

We need to find the probability of either girls or boys team getting a game which is represented by P(B ∪ G)

Step 3:

P(B ∪ G) = P(B) + P(G) - P(B ∩ G)

= 0.8 + 0.7 - 0.65 = 0.85

Step 4:

Answer:

The probability that either the girls' or boys' team gets a game is 0.85

You might be interested in
A researcher surveyed 220 residents of a city about the number of hours they
olga55 [171]

Answer:

Margin of error of 0.0485 hours.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

\sigma = 0.35, n = 220

The margin of error is of:

M = z\frac{\sigma}{\sqrt{n}}

M = 1.96\frac{0.35}{\sqrt{200}}

M = 0.0485

Margin of error of 0.0485 hours.

5 0
3 years ago
Natalie buys a cooper wire that is 3 feet long. The cost of the wire is $1.25 per foot, including tax. What is the total cost, i
Mnenie [13.5K]

Answer:

$3.75

Step-by-step explanation:

Given:

Natalie buys a cooper wire that is 3 feet long.

The cost of the wire is $1.25 per foot.

Question asked:

What is the total cost, in dollars, of Natalie's wire?

Solution:

<u>By unitary method:</u>

Total length of wire = 3 feet

Each foot of wire cost = $1.25

3 feet of wire cost = $1.25 \times 3 = $3.75

Thus, total cost of wire is $3.75

5 0
3 years ago
How many ways can 5 people be arranged in a line?
Rasek [7]

Answer: 120 ways

Step-by-step explanation: In this problem, we're asked how many ways can 5 people be arranged in a line.

Let's start by drawing 5 blanks to represent the 5 different positions in the line.

Now, we know that 5 different people can fill the spot in the first position. However, once the first position is filled, only 4 people can fill the second spot and once the second spot is filled, only 3 people can fill the third spot and so on. So we have <u>5</u> <u>4</u> <u>3</u> <u>2</u> <u>1</u>.

Now, based on the counting principle, there are 5 x 4 x 3 x 2 x 1 ways for all 5 spots to be filled.

5 x 4 is 20, 20 x 3 is 60, 60 x 2 is 120, and 120 x 1 is 120.

So there are 120 ways for all 5 spots to be filled which means that there are 120 ways that 5 people can be arranged in a line.

I have also shown my work on the whiteboard in the image attached.

7 0
3 years ago
The figure is made of rectangular prisms. What is the volume?
Step2247 [10]

Answer:

<u><em>the answer is 225cm3</em></u>

3 0
3 years ago
-6+3x=9 i need a answer
adell [148]

Answer:

x = 5

Step-by-step explanation:

Isolate then solve for x

3x = 9+6\\3x = 15\\x = \frac{15}{3} \\x = 5

7 0
3 years ago
Other questions:
  • What is the median for the data set?
    12·2 answers
  • End of year assessment
    5·1 answer
  • 1/2 Multiply 5 and explains how you found it
    15·2 answers
  • A country's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponentia
    7·1 answer
  • What two equivalent fraction for 1/5​
    10·2 answers
  • A bakery sells a pack of peanut butter cookies for $3 and a
    10·1 answer
  • Ummm sooo I’m really confused and it’s due tomorrow please help me
    15·1 answer
  • What is the sum of the measures of the interior angles of a regular pentagon?​
    11·1 answer
  • 4.) The graph below shows that the cost of bananas depends on the number of pounds
    5·2 answers
  • Michael consumes a 16-ounce bag of potato chips and 12-ounce bag of pretzels every day after school. How many more ounces of pot
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!