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Tatiana [17]
3 years ago
12

Kelly's basketball team made a total of 33 two points and three point baskets in their game last week. If her team scored a tota

l of 72 points how many two points baskets did they make
Mathematics
1 answer:
vladimir2022 [97]3 years ago
4 0

Answer:

They make <u>27</u> two points basket.

Step-by-step explanation:

Given:

Kelly's basketball team made a total of 33 two points and three point baskets in their game last week.

If her team scored a total of 72 points.

Now, to find the number of two points baskets they make.

Let the two points basket be x.

And the three points basket be y.

So, total number of two points and three point baskets are:

x+y=33

y=33-x\ \ \ .........(1)

Now, the total points team scored:

2x+3y=72

Substituting the value of y from equation (1) we get:

2x+3(33-x)=72

2x+99-3x=72

<em>Subtracting both sides by 99 we get:</em>

2x-3x=-27

-x=-27

<em>Dividing both sides by -1 we get:</em>

x=27.

The the two points basket = 27.

Therefore, they make 27 two points basket.

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What is the greatest common multiple of 96,48,84
never [62]

Answer: 12

Step-by-step explanation: 96-84=12

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5 0
3 years ago
A recent study asked U. S. Adults to name 10 historic events that occurred during their lifetime that have had the greatest impa
Nadusha1986 [10]

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, the parameters are:

z = 2.575, n = 2000, \pi = 0.77

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7458

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7942

The 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
2 years ago
Harper works at an electronics store as a salesperson. Harper earns a 6% commission on the total dollar amount of all phone sale
agasfer [191]

<u>Answer:</u>

The system of equations are

x + y = 2600   …….equation (1)

and, 6x + 5y = 13700  ……equation (2)

<u>Explanation:</u>

Let x = amount of sales of phone;

y = amount of sales of computer

For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.

Similarly for computer,

5% of y = 0.05y

Given the total sales; x + y = 2600

And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700

Therefore the system of equations are

x + y = 2600   …….equation (1)

6 x + 5 y = 13700  ……equation (2)

7 0
3 years ago
Can you solve this? :)
Nina [5.8K]
The answer is B.
X = -11 :-)
8 0
3 years ago
Read 2 more answers
Carter is selling his bike. His research shows that the bike has a current value of $90, which is 45% of the amount Carter paid
GaryK [48]

Carter paid $200 for the bike.

Step-by-step explanation:

Given,

Current value of bike = $90

This represent 45% of the original amount Carter paid for bike.

Let,

x represent the original amount of bike.

45% of x = 90

\frac{45}{100}x=90\\\\0.45x=90

Dividing both sides by 0.45

\frac{0.45x}{0.45}=\frac{90}{0.45}\\x=200

Carter paid $200 for the bike.

Keywords: percentage, division

Learn more about division at:

  • brainly.com/question/899976
  • brainly.com/question/884169

#LearnwithBrainly

6 0
3 years ago
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