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2 years ago

Compute the slope of the line intersecting the points (1, 2) and (3, 8). *

Mathematics

1 answer:

DiKsa [7]2 years ago

6 0

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 8)

m = $\frac{8-2}{3-1}$ = $\frac{6}{2}$ = 3

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A spring is attatched at one end to support B and at the other end to collar A, as represented in the figure. Collar A slides al

m_a_m_a [10]

Step-by-step explanation:

cos θ = 3 / AB

When θ = 28°:

cos 28° = 3 / AB

AB = 3 / cos 28°

AB ≈ 3.4

When AB = 5.2:

cos θ = 3 / 5.2

θ = cos⁻¹(3 / 5.2)

θ ≈ 54.8°

3 0

2 years ago

Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100 pounds and a standard devia

EleoNora [17]

Answer:

0.961

Step-by-step explanation:

To answer this, find the area under the standard normal curve to the left of 130 pounds:

Using the function normalcdf( on a TI calculator, we get:

normalcdf(-1000, 130, 100, 17) = 0.961

8 0

2 years ago

In analyzing the city and highway fuel efficiencies of many cars and trucks, the mean difference in fuel efficiencies for the 60

Olegator [25]

Answer:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

Step-by-step explanation:

Data provided

$\bar X=7.38$ represent the sample mean for the fuel efficiencies

$\mu$ population mean

s=2.51 represent the sample standard deviation

n=601 represent the sample size

Confidence interval

The formula for the confidence interval of the true mean is given by:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom for this case is given by:

$df=n-1=601-1=600$

The Confidence level for this case is 0.95 or 95%, and the significance level $\alpha=0.05$ and $\alpha/2 =0.025$ and the critical value is given by $t_{\alpha/2}=1.96$

Replcing into the formula for the confidence interval is given by:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

8 0

3 years ago

6. Which value of x makes the equation below true?<br> 5x - 3 = 11 A. 1.6 B. 2.8 C. 40<br> D. 70

Harlamova29_29 [7]

Answer:

It's B

Step-by-step explanation:

2 times 5 = 10

0.8 times 5=4

10 + 4 =14

14-3=11

8 0

2 years ago

PLEASE HELP ME BRO <br> Find the perimeter of this shape and show ur work.

mylen [45]

Answer:

2 (length +breadth)

Step-by-step explanation:

2(2x+3) (x+1)

Multiply two on both sides and solve it

5 0

2 years ago