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Tema [17]
3 years ago
7

Last season a baseball play hit 48 home runs. So far this season he has hit 30 home runs. The number of home runs he has hit so

far this season is what percent of the number f home runs he hit last season?
Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

The home runs hit this season is <u>62.5%</u> of the home runs hit last season.

Step-by-step explanation:

Given:

Runs hit last season = 48

Runs hit this season so far = 30

So, in order to find the percentage of home runs hit this season so far compared to the last season, we need to divide the home runs hit this season by that of the last season and then express the result as a percentage by multiplying the fraction with 100.

Therefore,

Percentage of home runs scored this season is given as:

Percent=\dfrac{\textrm{Home runs this season}}{\textrm{Home runs last season}}\times 100\\\\\\Percent=\frac{30}{48}\times 100\\\\Percent=0.625\times 100\\\\Percent=62.5\%

Therefore, the home runs hit this season is 62.5% of the home runs hit last season.

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Kim, Laura and Molly share £385
trapecia [35]
Set x equal to the amount of money Kim gets, and y for Molly's money.

 x = 2/5y, since the ratio is 2:5.
y = 105 + x, since Molly has 105 more pounds than Kim.

Substitute x into this equation, so that y = 105 + 2/5y. Subtract 2/5y from both sides to get 3/5y = 105. Divide each side by 0.6 (equivalent to 3/5) and you get y = 175, which is how much Molly has. Kim gets 2/5 of Molly's share (or 105 fewer pounds), so she has 70.

70 + 175 (Kim and Molly's shares) is equal to 245. Therefore, Laura receives the remaining 140 pounds.

140/385 = a/100
Cross multiply so that 385a is 14000. Divide by 385 to get 36.4 (rounded).

Thus, Laura receives about 36.4% of the total money. Hope this helps (:
5 0
3 years ago
2.
Fantom [35]

Answer:

the mode remains the same

Step-by-step explanation:

42 is outlier.

mod is the most repetitive number of a number string, and outlier does not change it.

the mode remains the same.

7 0
3 years ago
What is 11÷165 as a decimal please answer
LuckyWell [14K]

Answer:

0.066666666

Step-by-step explanation:

also known as 0.06 repeating

6 0
3 years ago
Read 2 more answers
In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds a
iren2701 [21]
<h3>Answer: Choice B)   3:1</h3>

=============================================================

Explanation:

Consider a very small town of only 4 people.

If 1 person bikes to work, then 1/4 = 0.25 = 25% of the population commutes by bicycle. We see that the remaining 4-1 = 3 people don't travel by bike.

The odds against selecting someone who uses their bike to get to work is 3:1 which is why the answer is choice B

We list the number of people we don't want first, and then the number of people we do want (those who use a bike). A colon separates the two values to form the odds ratio.

We can say "3:1" as "3 to 1". It means we're 3 times more likely to select someone we don't want vs someone we do want. The odds are against the bike person which is why the value we don't want is listed first.

In contrast, if your teacher asked "what are the odds in favor of selecting someone who commutes by bicycle?" then the answer would be 1:3. We simply swap the positions of what we set up earlier.

5 0
3 years ago
Read 2 more answers
Health insurers are beginning to offer telemedicine services online that replace the common office visit. A company provides a v
Veronika [31]

Answer:

\text {CI} = (60.54, \: 81.46)\\\\

Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)

Step-by-step explanation:

Let us find out the mean savings for a televisit to the doctor from the given data.

Using Excel,

=AVERAGE(number1, number2,....)

The mean is found to be

\bar{x} = \$71  

Let us find out the standard deviation of savings for a televisit to the doctor from the given data.

Using Excel,

=STDEV(number1, number2,....)

The standard deviation is found to be

 s = \$ 22.35

The confidence interval is given by

\text {confidence interval} = \bar{x} \pm MoE\\\\

Where the margin of error is given by

$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\

Where n is the sample of 20 online doctor visits, s is the sample standard deviation and t_{\alpha/2} is the t-score corresponding to a 95% confidence level.

The t-score is given by is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 20 - 1 = 19

From the t-table at α = 0.025 and DoF = 19

t-score = 2.093

So, the margin of error is

MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) \\\\MoE = 2.093\cdot \frac{22.35}{\sqrt{20} } \\\\MoE = 2.093\cdot 4.997\\\\MoE = 10.46\\\\

So the required 95% confidence interval is

\text {CI} = \bar{x} \pm MoE\\\\\text {CI} = 71 \pm 10.46\\\\\text {CI} = 71 - 10.46, \: 71 + 10.46\\\\\text {CI} = (60.54, \: 81.46)\\\\

Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)

7 0
3 years ago
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