Determine f(a+h) for f(x) = 2x^3

Suppose the life of a particular brand of laptop battery is normally distributed with a mean of 8 hours and a standard deviation

Ierofanga [76]

Answer:

4.75% probability that the battery will last more than 9 hours before running out of power

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:

$\mu = 8, \sigma = 0.6$

What is the probability that the battery will last more than 9 hours before running out of power g

This is 1 subtracted by the pvalue of Z when X = 9. So

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

$Z = \frac{9 - 8}{0.6}$

$Z = 1.67$

$Z = 1.67$ has a pvalue of 0.9525

1 - 0.9525 = 0.0475

4.75% probability that the battery will last more than 9 hours before running out of power

4 0

3 years ago

State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.

malfutka [58]

Answer:

FED ~ MLF

Step-by-step explanation:

∠L = ∠E

∠F = ∠F

Since both angles are congruent, that would mean all angles are congruent.

If all angles are congruent, then the triangles are always similar no matter the length of the sides.

6 0

3 years ago

Read 2 more answers

Helppppppp will give the brainiest if correct !!!

MissTica

Answer:

Step-by-step explanation:

$7-3x-4+x\qquad\text{combine like terms}\\\\=(-3x+1x) + (7-4)\\\\=-2x+3=3-2x$

7 0

4 years ago

Consider triangle ABC with the measure of an angle B = 60ﾟ and sidelinks a equal 4 &c equal 5 what option listed is an expre

ivann1987 [24]

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The correct option is B.

<h3>What is the Law of Cosine?</h3>

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

$c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}$

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

The length of the sidelink b using the cosine rule can be written as,

$b = \sqrt{a^2+c^2-2ac\cos(\angle B)}\\\\b = \sqrt{4^2+5^2 - 2(4)(5)(\cos 60^o)}\\\\b = \sqrt{16+25-20}$

Hence, the correct option is B.

The complete question is:

Consider ABC with the measure of angle B equal to 60 degrees, and side lengths a=4 and c=5. Which option lists an expression that is equivalent to the length of side b?

Options are given in the image below.

Learn more about the Law of Cosine:

brainly.com/question/17289163

#SPJ1

8 0

2 years ago

What is the ratio of 1/6:6 = what

frutty [35]

1/6=16.666666...

So it is 16.6666.... to 6(or 100)

5 0

3 years ago