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podryga [215]
3 years ago
12

The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. if she completed 12 free throws, fi

nd how many free throws she attempted.
a. 3 free throwsc.21 free throwsb.7 free throwsd.4 free throws
Mathematics
2 answers:
Artemon [7]3 years ago
6 0
Ratio of the free throws completed to attempted free throws is given to be 4:7. This ratio should be equal to the ratio of the next case. Let x be the number of free throws attempted. The proportion takes a form of,                  
                    (4 completed / 7 attempted) = (12 completed / x attempted)
Solving for x gives x = 21. Thus, the answer is letter c. which is the second among the choices. 
svp [43]3 years ago
4 0

The correct answer is:

C. 21 free throws

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3.) Inequalities.
Hope it helped.
7 0
3 years ago
A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normall
Vlad1618 [11]

Answer: (2.54,6.86)

Step-by-step explanation:

Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.

We assume the incomes are normally distributed.

Mean income : \mu=\dfrac{\sum^{10}_{i=1}x_i}{n}=\dfrac{47}{10}=4.7

Standard deviation : \sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}

=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}

=\dfrac{30.265}{10}=3.0265

The confidence interval for the population mean (for sample size <30) is given by :-

\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given significance level : \alpha=1-0.95=0.05

Critical value : t_{n-1,\alpha/2}=t_{9,0.025}=2.262

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)

Hence, 95% confidence interval for the true mean= (2.54,6.86)

7 0
3 years ago
Solve 3(x+2)+5(x+2)=64
valkas [14]

Answer:

6

Step-by-step explanation:

3x+6+5x+10=64

3x+5x+6+10=64

8x+16=64

8x=64-16

8x=48

divide both sides by 8

x=6

6 0
3 years ago
Five people each take the same number of candies from a jar. Then a group of seven people does the same: in so doing they empty
Vika [28.1K]

Answer:

Step-by-step explanation:

Let first group of people take x candies each

and second group of people take y candies each

5x + 7y will be total candies

5x +7y = 239 (needed to find positive solution of x,y)

now take x=38,  y =7

or x=31,   y= 12

hence lots of possibilities ,so we can not say exactly

3 0
3 years ago
Read 2 more answers
Eugene noticed the temperature had dropped by 8 degrees from 17. What was the new temperature?
zubka84 [21]

Answer:

9 degrees

Step-by-step explanation:

given:

Initial temperature : 17 degrees

temperature change = reduction by 8 degrees (i.e - 8 degrees)

hence the final temperature

= initial temperature + temperature change

= 17 + (-8)

= 17 - 8

= 9 degrees

8 0
3 years ago
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