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Tema [17]
2 years ago
14

Find the slope of line

Mathematics
2 answers:
tamaranim1 [39]2 years ago
8 0

Just take the coordinates of both those red dots and use the slope formula: y2-y1 all divided by x2-x1. that should give you slope


zheka24 [161]2 years ago
3 0

The formula to find the slope of a line is\frac{y_{2}-y_{1}}{x_{2}-x_{1}}, in other words <em>the y coordinate of the second point minus the y coordinate of the first point over the x coordinate of the second point minus the x coordinate of the first point</em>.  


On this graph, the two points given are (-3,4) and (1,-2).  With this, we can determine x_{1} , x_{2} , y_{1} , and y_{2}

x_{1}=-3 \\ x_{2}=1\\ y_{1}=4\\ y_{2}=-2


Plug these values correctly into the slope formula, and you can find your answer.

\frac{-2-4}{1--3} =\frac{-6}{4} =\frac{-3}{2}


The slope of the line is-3/2.


Hope this helps!

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Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average
lutik1710 [3]
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5

Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
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2 years ago
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Based on a​ poll, 67​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot. What is
daser333 [38]

Answer:

The required probability is 0.988.

Step-by-step explanation:

Consider the provided information.

Based on a​ poll, 67​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot.

That means the probability of more careful is 0.67

The probability of not careful is: 1-0.67 = 0.33

We have selected four random Internet​ users. we need to find the probability that at least one is more careful about personal information.

P(At least one careful) = 1 - P(None of them careful)

P(At least one careful) = 1 - (0.33×0.33×0.33×0.33)

P(At least one careful) = 1 - 0.012

P(At least one careful) = 0.988

Hence, the required probability is 0.988.

The result may be higher because of the convenience bias in retrieving the sample. Because the survey subjects volunteered to​ respond not random.

3 0
2 years ago
15 points!!!
Travka [436]
8+292=300

8 out of 300 were defective.

\frac{8}{300}=\frac{x}{3000} \\  \\ 8*3000=300*x \\  \\ 24000=300x \\  \\ 80=x

80 pairs were defective
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The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the
Vika [28.1K]

Answer:

The value of the test statistic is t=1.12.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean amount of time required to reach a customer service representative significantly differs between the two hotels.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

The sample 1, of size n1=20 has a mean of 2.65 and a standard deviation of √2.952=1.72.

The sample 2, of size n2=20 has a mean of 2.01 and a standard deviation of √2.952=1.89.

The difference between sample means is Md=0.64.

M_d=M_1-M_2=2.65-2.01=0.64

The estimated standard error of the difference between means is computed using the formula:

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Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.64-0}{0.571}=\dfrac{0.64}{0.571}=1.12

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$23.40 because 18•0.3=5.4 and 18+5.4=23.4.
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