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Nuetrik [128]
3 years ago
8

A tennis team has won 15 out of 20 matches they played this season. How many more matches will they need to win in a row to rais

e its winning percentage to 90%?
Mathematics
1 answer:
artcher [175]3 years ago
7 0

Answer:

they will need to win 18/20 matches

Step-by-step explanation:

if winning 9/10 matches gives them a winning percentage of 90% then you take 9/10 and multiple it by 2 since they played two times the matches of 10, then you get 18/20

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Lines L and M are parallel lines cut by the transversals line t. which angle is congruent to angle 5
Stells [14]

Answer:

When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary

Step-by-step explanation:

8 0
3 years ago
The slope of a line that passes through points (-1, -3) and (-2,5) is:
sweet [91]

Answer:

m = -8

Step-by-step explanation:

Use the slope formula: m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{5+3}{-2+1} =\frac{8}{-1} =-8

m = -8

6 0
2 years ago
"You measure 34 dogs' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 13.5 o
liraira [26]

Answer:

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{13.5}{\sqrt{34}} = 4.54

The lower end of the interval is the sample mean subtracted by M. So it is 67 - 4.54 = 62.46 ounches.

The upper end of the interval is the sample mean added to M. So it is 67 + 4.54 = 71.54 ounces.

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

7 0
3 years ago
Which best explains why state governments are better able to focus on the needs of their citizens than the federal
sesenic [268]

Answer:

The state governments are able to focus entirely on the citizens that live there. The federal government has to deal with wide spread, national issues, and would not provide the care and attention that the smaller state governments can.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Given a dilation around the origin, what is the scale factor K?<br><br> Do, K = (20,16) → (-5,-4)
Rudik [331]

Answer:

Scale factor, K = -1/4

Step-by-step explanation:

Dilation of any image changes its size and the shape remains same.

The scale factor is the ratio of dilated image to original image.

Dilation rule: (x, y) → (kx, ky), where k is the scale factor.

It means k = x₂/x₁ or y₂/y₁

K = -5/20 = -1/4 or K = -4/16 = -1/4.

<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>

Hence the scale factor is K = -1/4.

5 0
3 years ago
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