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3 years ago

Which point identifies the intersection of two lines with slopes that multiply to −1?

Mathematics

1 answer:

Sever21 [200]3 years ago

3 0

Answer:

Perpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines in the plane, you get −1 . That is, the slopes of perpendicular lines are opposite reciprocals .

Hope this help:)

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Use the t-distribution to find a confidence interval for a difference in means μ1-μ2 given the relevant sample results. Give the

Serggg [28]

Answer:

(a) The best estimate of $\mu_{1}-\mu_{2}$ is 13.2.

(b) The margin of error is 5.30.

Step-by-step explanation:

The (1 - α)% confidence interval for the difference between population means using a t-interval is:

$CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2, (n_{1}+n_{2}-2)} \sqrt{S_{p}^{2}[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

(a)

A point estimate of a parameter (population) is a distinct value used for the estimation the parameter (population). For instance, the sample mean $\bar x$ is a point-estimate of the population mean μ.

Similarly the point estimate of the difference between two means is:

$\bar x_{1}-\bar x_{2}$

Compute the point estimate of $\mu_{1}-\mu_{2}$ as follows:

$E(\mu_{1}-\mu_{2})=\bar x_{1}-\bar x_{2}\\=79.0-65.8\\=13.2$

Thus, the best estimate of $\mu_{1}-\mu_{2}$ is 13.2.

(b)

Compute the pooled variance as follows:

$S_{p}^{2}=\frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2}=\frac{(35-1)10.5^{2}+(20-1)7.2^{2}}{35+20-2}=89.311$

Compute the critical value of t as follows:

$t_{\alpha/2, (n_{1}+n_{2}-2)}=t_{0.05/2, (35+20-2)}=t_{0.025, 53}=2.00$

*Use a t-table.

Compute the margin of error as follows:

$MOE=t_{\alpha/2, (n_{1}+n_{2}-2)} \sqrt{S_{p}^{2}[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=2.00\times\sqrt{89.311\times [\frac{1}{35}+\frac{1}{20}]} \\=5.298\\\approx5.30$

Thus, the margin of error is 5.30.

(c)

Compute the 95% confidence interval for the difference between two means as follows:

$CI=(\bar x_{1}-\bar x_{2})\pm MOE$

$=13.2\pm 5.298\\=(7.902, 18.498)\\\approx (7.90, 18.50)$

Thus, the 95% confidence interval for the difference between two means is (7.90, 18.50).

4 0

4 years ago

Aidan has four cards with +, -, x, ÷ printed on them.

lutik1710 [3]

9514 1404 393

Answer:

multiply (×)

Step-by-step explanation:

5 ×4 - 3 +2 ÷1 = 19

Emma would place the multiply (×) operation first.

6 0

3 years ago

Which one it’s it?????????? I can’t seem to find the answer.

Scrat [10]

-- Take a piece of paper
-- Take a pencil or a pen
-- Write the first nine or ten terms of the sequence:

Term Value
#1 0
#2 0.5
#3 1
#4 1.5
#5 2
#6 2.5
#7 3
#8 3.5
#9 4
#10 4.5

-- Now, find the graph of that sequence of numbers.

Hint: It's Graph-D .

5 0

3 years ago

4. In 2003, Mississippi’s labor force totaled

bearhunter [10]

employed: 1,312,700 people

total people : 1,312,700

unemployment : 5.6%

employed : 100% - 5.6% = 94.4%

employed people:

94.4% * 1,312,700

1239188.8

≈ 1239189 people

8 0

2 years ago

Read 2 more answers

Gum

yan [13]

Answer:

60 pieces

Step-by-step explanation:

The rate of pieces to packages is 15/1.

Multiply this rate by 4 to get the answer.

15 * 4 = 60

3 0

4 years ago

Read 2 more answers