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goblinko [34]
4 years ago
7

Use the digits 1-9 to create 3 equivalent ratios. Each digit can only be used once. _:_=_ _:_=_ _:_ _

Mathematics
1 answer:
Oksana_A [137]4 years ago
7 0

3 equivalent ratios are: \frac{1}{2} = \frac{3}{6} = \frac{4}{8}

<u>Explanation:</u>

<u />

Given:

Number to be chosen = 1 to 9

Each digit can be used once.

We have to find three equivalent ratios.

So,

Considering the simplified ratio to be \frac{1}{2}

Then, the three equivalent ratios are:

\frac{1}{2} = \frac{3}{6} = \frac{4}{8}

\frac{3}{6} when simplified gives \frac{1}{2}

\frac{4}{8} when simplified gives \frac{1}{2}

Therefore, 3 equivalent ratios are: \frac{1}{2} = \frac{3}{6} = \frac{4}{8}

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Ten runners join a race. In how many possible ways can they be arranged as first, second, and third placer? Pls answer
Daniel [21]
Ans: 720

<span>This is equal to the number of different arrangements of three persons from a group of 10 persons </span>

Required number of ways = 10P3 = 720

OR can be solved in this way
select 3 runners (10C3 ways)
These 3 runners can be arranged in 3! ways
<span>Total = 10C3×3! = 720

</span>
5 0
3 years ago
Read 2 more answers
Suppose that, in the past, 40% of all adults favored capital punishment. Do we have reason to believe that the proportion of adu
Alex_Xolod [135]

Answer:

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

Step-by-step explanation:

Suppose that, in the past, 40% of all adults favored capital punishment. Test if the proportion has increased:

At the null hypothesis, we test if the proportion is still of 40%, that is:

H_0: p = 0.4

At the alternative hypothesis, we test if the proportion has increased, that is, is greater than 40%, so:

H_1: p > 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \mu = 0.4, \sigma = \sqrt{0.4*0.6}

Random sample of 15 adults, 8 favor capital punishment.

This means that n = 15, X = \frac{8}{15} = 0.5333

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.5333 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{15}}}

z = 1.05

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion of 0.5333 or more, which is 1 subtracted by the p-value of z = 1.05.

Looking at the z-table, z = 1.05 has a p-value of 0.8531.

1 - 0.8531 = 0.1469.

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

3 0
3 years ago
Which ordered pair is the solution to the system of linear equations y =5x +8 and y= -4 x-1
aleksley [76]

Answer:

(-1,3)

y=5x+8 , y=-4x-1y=5x+8,y=−4x−1

Both sides have y on the left hand side so make the right hand side equal and solve for x

5x+8= -4x-15x+8=−4x−1

To solve for x , add 4x on both sides

9x+8=-19x+8=−1

Subtract 8 on both sides

9x=-99x=−9

Divide by 9 on both sides

x=-1x=−1

Now plug in -1 for x in the first equation and find out y

y=5x+8y=5x+8

y=5(-1)+8y=5(−1)+8

y=-5+8y=−5+8

y=3y=3

Ordered pair is (x,y) that is (-1,3)

Step-by-step explanation:

Mark me as brainliest plsss

8 0
2 years ago
The sum of a number and seven is less than 12
marin [14]

Answer:

Step-by-step explanation:

X+7 < 12

3 0
3 years ago
Please help.A teacher asked her pupils what their favourite school subject was.
julia-pushkina [17]
Yes this is simple just what is the angle of the whole circle and just subtract from that number.
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3 years ago
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