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Leona [35]
3 years ago
11

Are these ratios equivalent?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

3 medium cars to 1 small car can be made into a fraction like this: \frac{3}{1} or \frac{1}{3}. But you must be consistent if the denominator represents medium cars or small cars.

For this, I'm just going to make medium cars the numerator.

18 medium cars to 6 cars can be made into a fraction like this : \frac{18}{6}.

When you divide both fractions in a calculator (or in your head), you will realize that they both are the same value (equivalent).

\frac{3}{1}=\frac{18}{6} = 3

\frac{1}{3} = \frac{6}{18} = .3333333

These ratios are equivalent.

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A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given th
taurus [48]

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0518

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

n = 27, s = 21.4. So

M = 2.0518\frac{21.4}{\sqrt{27}}

M = 8.45

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

5 0
3 years ago
HELPPPPPP
dimaraw [331]
32, i believe is the answer

5 0
3 years ago
Help plz it is only one question
Akimi4 [234]
It would be 43.75% because 

7÷16=0.4375
0.4375×100=43.75%
3 0
3 years ago
I just need the answer no explanation
Eva8 [605]

Applying log rules leaves us with the following equation:

x^2 + 8 = 6x

Change to standard form and solve using factoring.

x^2 - 6x + 8 = 0

(x - 4)(x - 2) = 0

x = 4

x = 2

Hope this helps!

4 0
2 years ago
A salesman makes 4% commission on sales. What is his commission on $8,472 worth of sales?
Slav-nsk [51]

Answer:

The answer is $12,000 I think check to be sure...Sorry in advance I'm not the best at math guys...    

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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