Answer:
7 x 2 + 31
Step-by-step explanation:
Equals to the bottom line answer is 7
Using a system of equations, it is found that the correct option is:
A) 1389x+1660y=787x+1121y.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, considering the amounts in each olympics(1389 men and 787 women participated on the 19th, 1660 men and 1121 women in the 22th), the system is:
A) 1389x+1660y=787x+1121y.
More can be learned about a system of equations at brainly.com/question/24342899
Answer:
Step-by-step explanation:
If majority of adults prefer a window seat when they fly, it means that more than half or more than 0.5 of the population prefer a window seat when they fly.
We would set up the hypothesis test.
For the null hypothesis,
p = 0.45
For the alternative hypothesis,
p > 0.5
Considering the population proportion, probability of success, p = 0.5
q = probability of failure = 1 - p
q = 1 - 0.5 = 0.5
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 492
n = number of samples = 806
P = 492/806 = 0.61
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.61 - 0.5)/√(0.5 × 0.5)/806 = 6.24
From the normal distribution table, the p value < 0.00001
Since alpha, 0.01 < than the p value, then we would reject the null hypothesis. Therefore, at a 1% significance level, we can conclude that the majority of adults prefer a window seat when they fly.
Answer: " 15 % " .
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→ " 12 is <u> 15% </u> of 80 " .
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Step-by-step explanation:
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12 = (n/100) * 80 ;
12 = (80n) /100 ; Solve for "n:
Note: 80/100 = (80/10) / (100/10) = (8/10) = 0.8 ;
12 = (0.8)n ;
↔ (0.8n) = 12
Multiply each side of the equation by "10" ; to get rid of the "decimal" ;
10 * (0.8n) = 10 * 12 ;
to get:
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8n = 120 ;
Divide each side of the equation by "8" ;
to isolate "n" on ONE SIDE of the equation; & to solve for "n" ;
8n/8 = 120/ 8 ;
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to get:
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n = 15 .
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Answer: " 15 % " .
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→ " 12 is <u> 15% </u> of 80 " .
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Hope this helps!
Best wishes!
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The Perimeter is 15 inches <span />
