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alekssr [168]
3 years ago
14

In a basketball game Anya makes 14 baskets. Some of these baskets were worth 2-points and others were worth 3-points. In total s

he scored 30 points write a system of equations to find how many 2-point baskets she made.
Mathematics
1 answer:
Tems11 [23]3 years ago
7 0

Answer:

She made 12 two point basket.

Step-by-step explanation:

Assuming the number of 2 point basket is x and that of 3 point basket is y.

Based on the question the total numbers of basket is 14, that is x + y = 14 , and the total numbers of points is 30, which helps us with our second equation 2(x) +3(y)=30.

x + y = 14 eqn 1

2(x) +3(y)=30 eqn 2

Using elimination method multiplying eqn 1 by -3 and adding it to equation 2

-3x-3 y = -42 adding to eqn 2 gives

-x= -12

x=12. Which gives the number of the 2 points basket she made .

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The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The
zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x     f(x)

0-3 13

4-7  13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x     f(x)

1.5 13

5.5  13

9.5 10

13.5 11

17.5 0

21.5 3

Start by calculating the mean using:

\bar x = \frac{\sum fx}{\sum f}

This gives

\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}

Evaluate

\bar x = 7.98

The standard deviation is then calculated as:

\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}

So, we have:

\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13  * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}

Evaluate

\sigma= \sqrt{30.6496}

Solve

\sigma= 5.54

Hence, the standard deviation is 5.54

Read more about standard deviation at:

brainly.com/question/15858152

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7 0
2 years ago
What is the LCD of 11/12 and 1/8
s344n2d4d5 [400]
11/12 and 1/8
we only need to look at the denominators which is 
12 and 8

12 24 36
8   16 <span> 24
</span>so the LCD is 24
7 0
3 years ago
Simplify the expression completely. (5√50-3√200+3√18)
Kaylis [27]

Answer:

4\sqrt{2}

Step-by-step explanation:

5\sqrt{50} - 3\sqrt{200}  + 3\sqrt{18} =

= 25\sqrt{2} - 30\sqrt{2} + 9\sqrt{2} = 4\sqrt{2}

8 0
3 years ago
Read 2 more answers
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