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Strike441 [17]
3 years ago
5

Help me solve this I wil give brainliest and 40 points

Mathematics
1 answer:
Verizon [17]3 years ago
4 0

Answer:

Slope: -\dfrac{1}{2}

Equation: y=-\dfrac{1}{2}x+8

Step-by-step explanation:

The line of the best fit passes through the points (0,8) and (4,6).

If the line passes through the points (x_1,y_1) and (x_2,y_2) then the slope of the line is

\dfrac{y_2-y_1}{x_2-x_1}

Hence, the slope of the line of the best fit is

\dfrac{6-8}{4-0}=\dfrac{-2}{4}=-\dfrac{1}{2}

The equation of the line is

y=mx+b,

where m is the slope and b is y-intercept, so the equation of the line of the best fit is

y=-\dfrac{1}{2}x+8

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Item 2<br> Question 1<br> Solve 6x≥−42. Graph the solution.
o-na [289]

Answer:

x ≥ -7

Step-by-step explanation:

Divide both sides by 6

Then to graph it, you can make a number line

8 0
3 years ago
Read 2 more answers
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
Aneli [31]

Answer: 5x + 2y = -2

Step-by-step explanation:

Change 5x+2y=12 to slope intercept: 2y = 12 - 5x, y = -5x/2 + 6

A parallel line has the same slope, so the line we try to find is y = -5x/2 + b.

Substitute (-2, 4) in and get 4=5+b, so b = -1.

Therefore the answer is y = -5x/2 - 1, or if you want it in the original form it would be 2y = -5x - 2 ---> 5x+2y = -2.

Hope that helped,

-sirswagger21

7 0
3 years ago
The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a st
madam [21]

Answer:

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If Z \leq 2 or Z \geq 2, the outcome X is considered to be unusual.

In this question:

\mu = 8.21, \sigma = 1.9

Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

This is the pvalue of Z when X = 5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{5 - 8.21}{1.9}

Z = -1.69

Z = -1.69 has a pvalue of 0.0455.

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

8 0
3 years ago
I WILL GIVE BRAINLIEST!!!! Calculate cos M if a= 4, b= 12.5, c= 13.1244 **Round your answer up to four decimal places.
kompoz [17]

Answer:

cosM ≈ 0.3048

Step-by-step explanation:

remember SOH CAH TOA = sine: opposite/hypotenuse; cosine: adjacent/hypotenuse; tangent: opposite/adjacent

cos = CAH

cosM= a / c

cosM = 4.0 / 13.1244

cosM = 0.30477

cosM ≈ 0.3048

7 0
3 years ago
The bases of a trapezoid are 11 meters and 14 meters. Its height is 10 meters. What is the area of the trapezoid?
kenny6666 [7]
Area of Trapezoid = (1/2) * (Sum of bases) * height

Area =   (1/2) * (11 + 14) * 10

        =    (1/2) * 25 * 10   =    5 *25 = 125

Area = 125 m²
4 0
3 years ago
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