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3 years ago

What is the slope of the line shown below? (4,8) (2,2)

Mathematics

2 answers:

jeyben [28]3 years ago

8 0

Answer:

C) 3

Step-by-step explanation:

Slope = $\frac{y2 - y1}{x2 - x1} = \frac{Rise}{Run}$

Given: (2, 2) ; (4, 8)

Here x1 = 2, y1 = 2, x2 = 4 and y2 = 8

Now plug in these values in the slope formula, we get

Slope (m) = $\frac{8 - 2}{4 - 2}$

=6/2

Dividing by 2, we get

slope (m) = 3.

elena55 [62]3 years ago

4 0

Hi there! :)

Step-by-step explanation:

<h2>Lesson: Slope/ and slope-intercept form</h2>

$SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{2-8}{2-4}=\frac{-6}{-2}=3$

Slope is 3

Final answer is 3

*The answer must have a positive sign.*

I hope this helps you!

Have a nice day! :)

-Charlie

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Order the numbers from least to greatest -3/4, -4/15, -2/5

barxatty [35]

Answer:

-3/4, -2/5, -4/15

Step-by-step explanation:

using calculator, -3/4 = -0.75, -4/15 = -0.266666..., -2/5 = -0.40

imagine that -0.75, -0.26... and -0.40 are temperatures

the coolest temperature is -0.75, the warmest one is -0.26...

so the least number is -0.75, greater -0.40 and the greatest -0.26...

4 0

3 years ago

4. How fast was a driver going if the car left skid marks that were 32 feet long on dry concrete? (The coefficient of friction i

Monica [59]

Answer:

$v_{o} \approx 31.247\,mph$

Step-by-step explanation:

The deceleration experimented by the car is the product of kinetic coefficient of friction and gravitational constant:

$a = \mu_{k}\cdot g$

$a = (1.02)\cdot \left(32.174\,\frac{ft}{s^{2}} \right)$

$a = 32.817\,\frac{ft}{s^{2}}$

The initial speed is computed from the following kinematic expression:

$v^{2} = v_{o}^{2} - 2\cdot a \cdot \Delta s$

$v_{o} = \sqrt{v^{2}+2\cdot a\cdot \Delta s}$

$v_{o} = \sqrt{\left(0\,\frac{ft}{s} \right)^{2}+2\cdot \left(32.817\,\frac{ft}{s^{2}} \right)\cdot (32\,ft)}$

$v_{o}\approx 45.829\,\frac{ft}{s}$

$v_{o} \approx 31.247\,mph$

8 0

3 years ago

Find the first 4 terms in each sequence

koban [17]

Answer:

a₁ = -21 (Given)

a₂ = -28

a₃ = -35

a₄ = -42

Step-by-step explanation:

First term a₁ = -21 (Given)

…………………………………

Second term a₂ :

a₂ = $a_{2-1} - 7\\a_{1} - 7\\a_{1} = -21\\-21 - 7 = -28$

…………………………………

Third term a₃ :

a₃ = $a_{3-1} - 7\\a_{2} - 7\\a_{2} = -28\\-28 - 7 = -35$

…………………………………

Fourth term a₄ :

a₄ = $a_{4-1} - 7\\a_{3} - 7\\a_{3} = -35\\-35 - 7 = -42$

5 0

2 years ago

A survey was conducted in the United Kingdom, where respondents were asked if they had a university degree. One question asked,

katovenus [111]

Answer:

$z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620$

$p_v =2*P(Z>1.620)=0.105$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance

Step-by-step explanation:

Data given and notation

$X_{1}=45$ represent the number of correct answers for university degree holders

$X_{2}=57$ represent the number of correct answers for university non-degree holders

$n_{1}=373$ sample 1 selected

$n_{2}=639$ sample 2 selected

$p_{1}=\frac{45}{373}=0.121$ represent the proportion of correct answers for university degree holders

$p_{2}=\frac{57}{639}=0.0892$ represent the proportion of correct answers for university non-degree holders

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportions are different between the two groups, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{45+57}{373+639}=0.101$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620$

Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

Since is a one side test the p value would be:

$p_v =2*P(Z>1.620)=0.105$

7 0

3 years ago

Traveling at 65 miles per hour how long will it take me to drive 310 miles

ycow [4]

Travel at the speeds of 65 miles per hour to drive the distance of 310 miles (if the speed in which the person in question is traveling at the same speed) =
310 divided by 65 = $\frac{310}{65}$
= 4 and $\frac{10}{13}$ hours
since it is "traveled distance = speed multiplied by time it takes

4 0

3 years ago