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3 years ago

Which linear function is represented by the graph?

Mathematics

1 answer:

Vesnalui [34]3 years ago

4 0

Answer:

f(x)could also be written as y in y= mx+ c

by taking two points we are gonna calculate.

(0,1), (4,-1)

finding m

y*- y'/x*-x'

=1-(-1)/0-4

=2/-4

=-2

now c ( intercept)

take any point

eg. (0,1)

y=mx+c

1=-2×0+c

1=c

equation then equals to

y=-2x+1

f (x) =-2x+1

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Answer:

a) The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

b) $P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}, a \leq x \leq b$

And using this function we got:

$P(X$

c) $P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

Step-by-step explanation:

For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:

$X \sim Unif (a= 10, b =12)$

Part a

The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

Part b

For this case we want this probability:

$P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}, a \leq x \leq b$

And using this function we got:

$P(X$

Part c

For this case we want this probability:

$P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

3 0

3 years ago

On a recent quiz, the class mean was 70 with a standard deviation of 2.1. Calculate the z-score (to 4 decimal places) for a pers

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The equation to find a z score is (x- mean)/(standard deviation)

So, in this case the equation would be
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For,
X=76
Mean=70
Standard Deviation= 2.1

After solving we find that the z score equals 2.85714

or

2.8571

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3 years ago