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Leto [7]
2 years ago
10

The ratio of losses to wins for Kyle's team is 3 to 2. If the team had played the same number of games, but had won twice as man

y of its games, what would the ratio of losses to wins have been? Express your answer as a common fraction.
Mathematics
2 answers:
Fiesta28 [93]2 years ago
4 0

Answer: The new ratio will be 1/4

Explanation: The initial ratio of losses to wins is 3 to 2. If we sum the numer of losses and wins 3 + 2 = 5 games, that means they loss 3 out of 5 games , and they win 2 out of 5 games.

So if they had won twice as many of the games, that is 2*2=4. And since the number of games is the same ( 5 ), then they would have won 4 games and loss only 1.

So the new ratio of losses to wins will be 1 to 4, or expressed in a fraction: 1/4

natali 33 [55]2 years ago
3 0

Answer: the ratio would ben 1 to 4, or (1/4) as a common fraction, this means that the number of games that the team lost is equal to 1/4 of the games that the team won.

Step-by-step explanation:

the ratio is 3 to 2

this means that if they played 5 games (because 3 + 2 = 5), 3 of those games were losses and 2 where wins.

Now, if they played the same number of games (5) and won twice as many of the games (2) them would have wined 2*2 = 4 of 5 games.

then the rate of loses to wins is:

1 to 4

this means that they lost 1 game for every 4 wins.

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Katherine has 32 pop songs and 72 rock songs on her mp3 player that she will be organizing into playlists. She wants to put an e
ruslelena [56]

Answer:

Katherine will make minimum 8 playlists. Each playlist will contain 4 pop songs and 9 rock songs.

Step-by-step explanation:

We have been given that Katherine has 32 pop songs and 72 rock songs on her mp3 player. She is willing to organizing the songs into playlists such that there are equal number of pop songs and an equal number of rock songs into each playlist.

We can find the minimum number of playlists by finding GCF of the given two numbers.

We can write 32 = 2^5 and we can write 72 = 2^3*3^2

Therefore, GCF of the two numbers is 2^3 = 8.

Hence, she will be making total 8 playlists where each playlist will contain 4 pop songs and 9 rock songs.

6 0
2 years ago
This list shows the age at which 43 U.S. Presidents began their terms. 57 61 50 54 54 54 56 54 61 54 48 49 42 51 61 57 68 65 50
tamaranim1 [39]

Answer:

B) 54

Step-by-step explanation:

A mode of a number set is the number the appears the most.

In the list given, 54 was the number that appeared the most.

8 0
2 years ago
Read 2 more answers
Two different samples will be taken from the same population of test scores where the population mean and standard deviation are
Alenkinab [10]

Answer:

The sample consisting of 64 data values would give a greater precision.

Step-by-step explanation:

The width of a (1 - <em>α</em>)% confidence interval for population mean μ is:

\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{n}}

So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (<em>n</em>).

That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.

Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.

The two sample sizes are:

<em>n</em>₁ = 25

<em>n</em>₂ = 64

The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.

Width for n = 25:

\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]        

Width for n = 64:

\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]

Thus, the sample consisting of 64 data values would give a greater precision

5 0
2 years ago
Read 2 more answers
A car travels 15 kilometers west in 10 minutes. After reaching the destination, the car travels back to the starting point, agai
Ugo [173]
Your answer to your question is C
4 0
2 years ago
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Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6dollar sign, 6 for each ho
Margarita [4]

For this case, the first thing we must do is define variables.

We have then:

t: number of hours

F (t): total charge

We write the function that models the problem:

F (t) = 6t + b

Where,

b: represents an initial fee.

We must find the value of b.

For this, we use the following data:

Her total fee for a 4-hour job, for instance, is $ 32.

We have then:

32 = 6 (4) + b

From here, we clear the value of b:

32 = 24 + b

32-24 = b

b = 8

Then, the function that models the problem is:

F (t) = 6t + 8

Answer:

the function's formula is:

F (t) = 6t + 8

7 0
2 years ago
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