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3 years ago

Help me please 3 and 4

Mathematics

1 answer:

hoa [83]3 years ago

8 0

On number 3 you multiply the number on the outside of the “( )” by the numbers on the inside of the “( )” so 0.5(12m)-0.5(22n)

Number 4 you do the same... 2/3(18x)+2/3(6z) then you multiply those and then add the answers together.

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If e^(xy) = 2, then what is dy/dx at the point (1, ln2)?

love history [14]

E^(xy) = 2
(xdy/dx + y)e^(xy) = 0

At point (1, ln2), dy/dx + ln2 = 0
dy/dx = -ln2

3 0

3 years ago

My Notes A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1600 hours and

Evgen [1.6K]

Answer:

The bulbs should be replaced each 1436.9 hours.

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:

$\mu = 1600, \sigma = 70$

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.

So it is X when Z = -2.33.

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

$-2.33 = \frac{X - 1600}{70}$

$X - 1600 = -2.33*70$

$X = 1436.9$

The bulbs should be replaced each 1436.9 hours.

6 0

3 years ago

Stephanie ran 1 lap in 6 minutes. At the rate, how far would she run in 30 minutes. Use rates. Show all your work.

Delicious77 [7]

Since 1 lap I every 6 minutes then 30\6 is 5 so the answer is 5 LAPS

8 0

3 years ago

Read 2 more answers

State the slope and Y intercept of this problem X =1

lys-0071 [83]

Answer:

not for sure sorry

Step-by-step explanation:

sorry

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3 years ago

What is the sum or difference 6x^7+8x^7

s344n2d4d5 [400]

Answer: 14x^7

You add the coefficients (numbers to the left of the variable terms) to get 6+8 = 14 which is the coefficient of the final answer. The x^7 stays the same. It's like saying "we have 6 apples added to 8 apples, so there are 14 apples overall". Replace "apples" with "x^7" and it's the same idea.

3 0

4 years ago