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salantis [7]
2 years ago
8

A tennis player has won 24 out of 36 matches. His sponsor says that he must win 70% of his total number of matches to qualify fo

r a bonus. If there are 14 matches remaining on the tour, how many must he win to collect his bonus?
Mathematics
2 answers:
galben [10]2 years ago
6 0
He must win 11 more matches
pashok25 [27]2 years ago
5 0

Answer:

He must win 11 more matches to qualify for the bonus.

Step-by-step explanation:

24/36 * 100 = 67% (to the nearest %) - This is the current percentage of what the Tennis player has won.

If we add 14 more matches on to the 36 the player has already played, we know that the Tennis player plays 50 matches in total.

Let's say the Tennis player was playing 100 matches, they would need to win 70 or more to qualify for the bonus. Because the player is playing half this amount of matches, we half the amount of games they have to win...

35/50 games or more must be won to qualify for the bonus. The Tennis player has already won 24 matches, so must win 11 more matches to qualify for the bonus.

Hope that helps!

You might be interested in
High school football team had the best game of the season they scored eight touchdowns (seven points each) and three field goals
Alla [95]

Answer:

65 points in all

Step-by-step explanation:

3 x 3 = 9

7 x 8 = 56

56 + 9 = 65

:))

6 0
3 years ago
Twice x, plus 7, is the same as – 10.<br> The answer is N
sergij07 [2.7K]

Answer:

x=-8.5.

Step-by-step explanation:

First, write an equation. Twice x (2x) plus 7 (+7) is the same as (=) negative ten (-10), or 2x+7=-10. To solve, first subtract 7 from both sides to get 2x=-17. Then, divide both sides by 2 (x=-8.5).

3 0
3 years ago
A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann
emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

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

A confidence interval has two bounds, the lower and the upper

Lower bound:

\pi - M

Upper bound:

\pi + M

In this problem, we have that:

\pi = 0.26, M = 0.05

Lower bound:

\pi - M = 0.26 - 0.05 = 0.21

Upper bound:

\pi + M = 0.26 + 0.05 = 0.31

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

4 0
3 years ago
Multiply. Write in simplest form. 1/2 * 24
Dennis_Churaev [7]

Answer:

1. 12

2. 4

3. 6.8

4. 4.5

5 1.2

Step-by-step explanation:

5 0
3 years ago
Please help me with this
xenn [34]

Step-by-step explanation:

based on my understanding of the dreidel, this is a regular spinner with 4 equal sides (but different symbols on them, so, we can clearly distinguish between the possible 4 different outcomes).

in other words, this resembles a die with only 4 sides and therefore only 4 equally probable outcomes.

and therefore, the probability to get the specified symbol in 1 attempt is indeed 1/4.

remember, a probability is always desired cases over totally possible cases.

and here, we have one desired outcome out of 4 possible outcomes. hence the probability of 1/4.

now, we are spinning the dreidel twice.

that means we have now 4×4 = 16 possible outcomes.

but we only want the outcomes, where the specified symbol is showing exactly once - either after the first spin or after the second spin.

so, out of the 16 possible combinations, we want only the ones, where the first spin delivered that result :

1 option on the first spin and 3 options (4 minus the already delivered result) on the second spin : 1×3 = 3.

and the ones, where the second spin delivered the result (but not the first). so, we have 3×1 = 3 options there.

that means we have 6 desired cases out of total 16 possible outcomes, and the probability is

6/16 = 3/8

mathematically we would simply say that the probability is the sum of

the probability of spinning it first combined with the probability of not spinning it second.

the probability of not spinning it first combined with the probability to spin it second.

that is

1/4 × 3/4 = 3/16

+

3/4 × 1/4 = 3/16

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

6/16 = 3/8

I don't know the options you can select, but I hope you understand the principles I explained. and I gave you the result and the way to calculate it.

so, hopefully you find the fitting options.

8 0
2 years ago
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