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BlackZzzverrR [31]
3 years ago
14

In a certain Algebra 2 class of 26 students, 5 of them play basketball and 12 of them play baseball. There are 12 students who p

lay neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer:\dfrac{7}{13}

Step-by-step explanation:

There are only two games basketball and baseball.

Any student who plays could play basketball or baseball.

Given that there are 26 students in total.

Given that there are 12 students who don't play any game at all.

So,there are 26-12=14 students who play play some baseball or basketball.

Probability=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}

The required probability is \frac{14}{26}=\frac{7}{13}

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Question 3 of 14
kobusy [5.1K]

Answer:

\$84,000

Step-by-step explanation:

Remember that

6\%=6/100=0.06

we know that

The amount the salesman would earn in a year must be equal to the base salary multiplied by 12 (number of months in a year) plus 6% of the amount sold in merchandise in a year

so                                                

4,000(12)+0.06(600,000)=\$84,000

8 0
3 years ago
A line intersects the points (-23, -17) and (-13, -7). Find the slope of the line.
dolphi86 [110]
The slope of a line through points A(x_1, y_1) and B(x_2, y_2)  is :

\displaystyle{ \frac{y_2-y_1}{x_2-x_1}

or 

\displaystyle{ \frac{y_1-y_2}{x_1-x_2}, 

it is the same thing, BUT it it always y's over x's and always in the same order of 1 and 2:

don't write: \displaystyle{ \frac{y_1-y_2}{x_2-x_1}

--------------------------------------------------------------------------------------------------


The slope of the line through the points <span>(-23, -17) and (-13, -7) is :

</span>\displaystyle{  \frac{-17-(-7)}{-23-(-13)}= \frac{-17+7}{-23+13}= \frac{-10}{-10}=1
<span>

Answer: 1</span>
3 0
4 years ago
Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. K
zalisa [80]
<h2>Hello!</h2>

The answer is:

It will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.

<h2>Why?</h2>

To calculate how long after they start they will be 3/4 miles apart, we need to write two equations.

So, writing the equations, we have:

Calculations for Ava:

We have the following information,

v_{Ava}=6mph

Then, writing the equation,

x_{Ava}=x_{o}+v_{Ava}*t

x_{Ava}=x_{o}+v_{6mph}*t

Calculations for Kelly:

We have the following information,

v_{Kelly}=8mph

We need to calculate when Kelly will be 3/4 miles apart of Ava, so, it's position will be the Ava's position plus 3/4 miles.

Then, writing the equation,

x_{Ava}+0.75miles=x_{o}+v_{Kelly}*t

x_{Ava}+0.75miles=x_{o}+v_{8mph}*t

Now, substituting Ava's speed into the second equation, we have:

x_{o}+6mph*t+0.75miles=x_{o}+8mph*t

6mph*t+0.75miles=+8mph*t

8mph*t-6mph*t=0.75miles

2mph*t=0.75miles

t=\frac{0.75miles}{2mph}=0.375hours

Hence, we have that it will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.

Have a nice day!

7 0
3 years ago
Read 2 more answers
you are getting your hair cut and it costs you $18.30 you decide to tip the hairdresser 15% how much did you pay in total​
rodikova [14]

Answer:

You pay $21.05 in total!

6 0
3 years ago
A shop buys a pair of shoes for $50. They sell them for $60. What is the mark–up on the shoes?
mojhsa [17]

Answer:

The markup for the shoes is 20 percent.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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