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padilas [110]
2 years ago
6

A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise

at night. Tara claims that 35:55, 45:80, and 20:65 are possible ratios from this data. Jim claims that 35:100, 45:100, and 20:100 are possible ratios from this data. Who is correct? Explain.​
Mathematics
2 answers:
Rashid [163]2 years ago
7 0

100 total people ... 35 exercise in the morning ... 45 in the afternoon ... and 20 at night

Jim is correct ...

35/100 is the ratio of people who exercise in the morning to total people.

45/100 is the ratio of afternoon exercisers to total people

20/100 is the ratio of night exercisers to total people

Vadim26 [7]2 years ago
5 0

Answer: Jim is correct because 35:100, 45:100, and 20:100 are part-to-whole comparisons. There are other possible part-to-part ratios from the data.

Step-by-step explanation: sample response

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Two armadillos and three aardvarks sat in a five-seat row at the Animal Auditorium. What is the probability that the two animals
Serhud [2]

Answer:

      \dfrac{1}{15}

Explanation:

The number of different ways in which the<em> two armadillos</em> would be at the ends of the row is 2:

                      P(2,2)=\dfrac{2!}{(2-2)!}=\dfrac{2}{0!}=2

The number of different combinations in which<em> two of the three aardvarks </em>can sit at the ends of the row is P(3,2):

          P(3,2)=\dfrac{3!}{(3-2)!}=\dfrac{3\times 2\times 1}{1}=6

Therefore, there are 2 + 6 = 8 different ways in which the two animlas on the ends of the row were both armadillos or both aardvarks.

Now calculate the total number of different ways in which the animals can sit. It is P(5,5):

        P(5,5)=\dfrac{5!}{(5-5)!}=5!=5\times 4\times 3\times 2\times 1=120

Thus, <em>the probability that the two animals on the ends of the row were both armadillos or both aardvarks</em> is equal to the number of favorable outputs divided by the total number of possible outputs:

      Probability=\dfrac{8}{120}=\dfrac{1}{15}

8 0
2 years ago
Please see attachment for the question.
nekit [7.7K]

Answer:

\frac{ {20x}^{3}  -  {7x}^{2} + 3x - 7 }{ { - 13x}^{2}  - 5}

-13x²-5≠0

13x²+5≠0

x²≠ -5/13

option D

8 0
2 years ago
Read 2 more answers
The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of
grandymaker [24]

Answer:

At the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Step-by-step explanation:

We are given that the mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000.

The ship building association wishes to find out whether their welders earn more or less than $20,000 annually.

<u><em>Let </em></u>\mu<u><em> = mean gross annual incomes of certified welders</em></u>

So, Null Hypothesis, H_0 : \mu = $20,000    

Alternate hypothesis, H_A : \mu \neq $20,000

Here, null hypothesis states that the mean income of welders is equal to $20,000.

On the other hand, alternate hypothesis states that the mean income of welders is not $20,000.

Also, the test statistics that would be used here is <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;

                              T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean income

            \sigma = population standard deviation = $2,000

            n = sample size

Now, at the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

3 0
2 years ago
Eli caught three fish. The weights of the fish were 2lb4oz, 1lb11oz, and 4lb14oz,. What was the total weight of the three fish?
laiz [17]

Answer:

The total weight of the three fishes is 8lb and 13oz

Step-by-step explanation:

2lb 4oz + 1lb 11oz + 4lb + 14 = 7lb 29oz

Remember, there are 16 ounces (oz) in a pound (lb).

So 29oz - 16 oz would be 13oz and the answer would be 8lb and 13 oz.

Hope this helps, can you please mark me brainliest because I just need 4 more brainliest to become expert:)

5 0
2 years ago
Which graph shows a dilation? On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 4
gayaneshka [121]

Answer:

On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 1, 0), (negative 2, 1), (0, 1), and (1, 0).      

Step-by-step explanation:

<u>Larger quadrilateral</u>

Length of the top and bottom segments are 6 units.

Length of the left and right sides:

d = √[(-5 - (-2))² + (3 - 0)²] = √[3² + 3²] = √(2*3²) = 3√2 units

From point (-5, 3) to point (-2, 0) the slope is:

m = (3 - 0)/(-5 - (-2)) = -1

<u>Smaller quadrilateral</u>

Length of the top and bottom segments are 2 units.

Length of the left and right sides:

d = √[(-2 - (-1))² + (1 - 0)²] = √[1² + 1²] = √2 units

From point (-2, 1) to point (-1, 0) the slope is:

m = (1 - 0)/(-2 - (-1)) = -1

If you dilate the smaller quadrilateral by a factor of 3, you get the larger quadrilateral (they have the same slope, and 3 times length of the smaller quadrilateral is equal to the length of the larger quadrilateral).

5 0
2 years ago
Read 2 more answers
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