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Lubov Fominskaja [6]
3 years ago
11

PLZ HELP WILL GIVE BRAINLIEST!!!

Mathematics
2 answers:
erica [24]3 years ago
8 0

Answer:

y=2x

100 miles

Step-by-step explanation:

The slope is determined by change of y/ change of x

when using the points (0,0)-(50,100) is

100-0/50-0= 100/50=2

so the slope is 2.

Also there is no Y intercept on the equation bc it goes through the origin.

100 miles is the y point for 50 miles per hour

dimulka [17.4K]3 years ago
5 0

Answer:

The equation of the best line of fit is y = 2x

Step-by-step explanation:

The relationship between y and x is

y = mx + c

Where m = slope of the line

And c = intercept

At 50 miles per hour she has already covered a distance of 100 miles ---- from the graph

We can use this to calculate the slope of the line using the coordinates (0,0) (50,100)

Slope m is calculated as;

m = (y2 - y1)/(x2 - x1)

Where y2 = 100, x2 = 50

y1 = x1 = 0

Substitute these values

So m = (100 - 0)/(50 - 0)

m = 100/50

m = 2

Since there's no intercept, c = 0

The equation y = mx + c becomes

y = 2x + 0

y = 2x

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laila [671]

34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

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<u>Empirical rule to determine the percent:</u>

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$Z(X)=\frac{x-\mu}{\sigma}

$Z(433)=\frac{433-\ 433}{90}=0

$Z(523)=\frac{523-\ 433}{90}=1

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

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i. e. ((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%

Here μ to μ + σ = \frac{68\%}{2} =34\%

Hence 34% of the scores lie between 433 and 523.

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