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larisa86 [58]
2 years ago
11

Solve for b₂, in terms of the area of a trapezoid, A, the height, h, and b₁: A =1/2 (b₁ + b₂)h

Mathematics
1 answer:
nikklg [1K]2 years ago
8 0

Answer: b₂=2A/h-b₁

Step-by-step explanation:

A =1/2 (b₁ + b₂)h

2A=(b₁ + b₂)h

2A/h=b₁ + b₂

b₂=2A/h-b₁

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Graph the soloution x+2y=8
ELEN [110]

Answer:

Im 100% sure that it’s (A)

5 0
3 years ago
Last week a sales representative earned a salary of $412.56 and a commission of 72.48 how much did the earn in all?
Lesechka [4]

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8 0
3 years ago
A random sample of n 1 = 249 people who live in a city were selected and 87 identified as a democrat. a random sample of n 2 = 1
kvasek [131]

Answer:

CI=\{-0.2941,-0.0337\}

Step-by-step explanation:

Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is \displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2} where \hat{p}_1 and n_1 are the sample proportion and sample size of the first sample, and \hat{p}_2 and n_2 are the sample proportion and sample size of the second sample.

We see that \hat{p}_1=\frac{87}{249}\approx0.3494 and \hat{p}_2=\frac{58}{113}\approx0.5133. We also know that a 98% confidence level corresponds to a critical value of z^*=2.33, so we can plug these values into the formula to get our desired confidence interval:

\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\\\CI=\biggr(\frac{87}{249}-\frac{58}{113}\biggr)\pm 2.33\sqrt{\frac{\frac{87}{249}(1-\frac{87}{249})}{249}+\frac{\frac{58}{113}(1-\frac{58}{113})}{113}}\\\\CI=\{-0.2941,-0.0337\}

Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}

The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.

5 0
2 years ago
If your plants receive water and sunlight they will grow. independent dependent
Yuliya22 [10]
Dependent because its growing by it self and it will need sun and light its depending on the sun and water
6 0
3 years ago
The sum of the consecutive numbers is 111. What is the smallest of the three numbers?
sammy [17]
Let
x = first consecutive number
x + 1 = second consecutive number
x + 2 = third consecutive number

The sum of these numbers are 111.
x + x + 1 + x + 2 = 111
3x = 111 - 1 - 2
3x = 108
x = 36

Therefore, the smallest number is 36 because other numbers are 37 and 38.
8 0
3 years ago
Read 2 more answers
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