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Akimi4 [234]
3 years ago
8

Please help! factorise 3e^2 + 5e

Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

3e^2 + 5e = e(3e +5)

............................

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lauren took 12 hours to read a 360 boo.at this rate how long will it take her to read a 400 page book
yulyashka [42]

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Step-by-step explanation:

7 0
3 years ago
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The distance that a Tesla model 3 can travel is normally distributed with a mean of 260 miles and a standard deviation of 25 mil
Alja [10]

Answer:

2.28% probability that a randomly selected Tesla model 3 can travel more than 310 miles

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.

In this problem, we have that:

\mu = 260, \sigma = 25

What is the probability that a randomly selected Tesla model 3 can travel more than 310 miles?

This is 1 subtracted by the pvalue of Z when X = 310. So

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

Z = \frac{310 - 260}{25}

Z = 2

Z = 2 has a pvalue of 0.0228

2.28% probability that a randomly selected Tesla model 3 can travel more than 310 miles

3 0
3 years ago
What is the value of x?
malfutka [58]

Answer:there is no Val to x except I you use it as an variable

Step-by-step explanation:

Do the same steps that you would use for any other problem

7 0
4 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
VashaNatasha [74]
Short answer
y >-x + 4
y <= 2(x - 1)^2 - 18

Comment

Let's establish what we are talking about. The question says purple and to me purple means the shaded area above the blue and to the upper right of the parabola. 

Not so. It is the wine colored area right above the parabola according to the direction of he inequalities.

Second thing: the question is trying to see if you can read all he information you need from a graph. 

Step One
Find the equation of the line.
We can read 2 points right away the x and y intercepts.
(4,0) is the x intercept
(0,4) is the y intercept

The general equation for the slope intercept equation is
y = mx + b So when x = 0 then b = y
4 = m*0 + b
b = 4

This far we have
y = mx + 4
when x = 4, y = 0
0 = m*4 + 4 Subtract 4 from both sides.
-4 = m*4      Divide by 4
-4/4 = m
m = - 1

Complete equation is y = -1x + 4
The inequality is y > -x + 4            Top answer block.

Step Two

Find the equation for the parabola

You could just read the minimum point which is (1,-18) There is a catch. (Isn't there always?) This may have a constant in front of the (x - a)^2 term. We'll check that out in the next step.

y = (x - 1)^2 - 18 is the basic vertex solution

Step Three
Find the value of a in
y = a(x -  1)^2 - 18
You have to do this because the answer has a space before the brackets. We need another point. The y intercept might work. 

y = a(0 -1)^2 - 18
Use the point (0,-16)
-16 =  a(1) - 18 
-16 = a - 18 Add 18 to both sides.
2 = a

So the equation of the quadratic is
y <= 2(x - 1)^2 - 18 <<<<<< answer second section down on your question sheet.


5 0
3 years ago
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