Area of trapezoid = a + b/2 * h
a = 20, b = 9, h = 21/-16
20+9/2 * (21-16) = 29/2 * 5 = 72.5
The area of the trapezoid = 72.5 in^2
Area of the rectangle = l * w
l = 16, w = 20
16 * 20 = 320
The area of the rectangle: 320 in^2
Answer:
Option A is correct.
Step-by-step explanation:
Correlation coefficients tell us how strongly the two variables are associated.
A positive correlation is a relation when both the variables move together in the same direction. Like if value of first increases the other also increases.
When the correlation coefficient is greater than 0, this means that both variables are correlated.
So, the answer here will be :
A. There is a linear relationship between the variables, and whenever the value of one variable increases, the value of the other variable increases.
Given that,
Sample size= 83
Mean number= 39.04
Standard deviation= 11.51
We know the critical t-value for 95% confidence interval which is equal to 1.989.
We also know the formula for confidence interval,
CI=( mean number - critical t-value*standard deviation/(sample size)^(1/2), mean number + critical t-value*standard deviation/(sample size)^(1/2))
So, we have
CI= (39.04 - 1.989*11.51/83^(1/2), 39.04 + 1.989*11.51/83^(1/2)
CI= (39.04 - 2.513,39.04 + 2.513)
CI= (36.527,41.553)
Therefore, 95% confidence interval for these data is (36.527,41.553), and this result interpret that the true value for this survey sample lie in the interval (36.527,41.553).
Answer:
17 days and a half.
Step-by-step explanation:
First, we can find how much money he makes per day cutting lawns. This can be found with the equation:
40 x 5 = 200
He makes $200 a day cutting lawns.
Now we can divide his goal money ($3500) by his daily rate ($200) to get the number of days it will take to reach his goal.
3500 ÷ 200 = 17.5
It will take him 17.5 days to reach his goal.
!) $18,000
<span>2) 1000 + 425(48) = $21,400 </span>
<span>3) 21,400 - 18,000 = $3400 </span>
<span>4) $23,500 </span>
<span>5) 2000 + 60(425) = $27,500 </span>
<span>6) 27,500 - 23,500 = $4000</span>
