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3 years ago

−3(y−8)=33 What is the value of y?

Mathematics

1 answer:

Julli [10]3 years ago

3 0

Answer:

Step-by-step explanation:

-3(y-8)= 33

+3 +3

y - 8 = 36

+ 8 + 8

y = 44

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Twenty five heat lamps are connected in a greenhouse so, that when one lamp fails, another takes over immediately (only one lamp

olga55 [171]

Answer:

P = 0.006

Step-by-step explanation:

Given

n = 25 Lamps

each with mean lifetime of 50 hours and standard deviation (SD) of 4 hours

Find probability that the lamp will be burning at end of 1300 hours period.

As we are not given that exact lamp, it means we have to find the probability where any of the lamp burning at the end of 1300 hours, So we have

Suppose i represents lamps

P (∑i from 1 to 25 ( $X_i$ > 1300)) = 1300

= P( $X^{'}$ > $\frac{1300}{25}$ ) where $X^{'}$ represents mean time of a single lamp

= P (Z> $\frac{52-50}{\frac{1}{\sqrt{25}}}$ ) Z is the standard normal distribution which can be found by using the formula

Z = Mean Time ( $X^{'}$ ) - Life time of each Lamp (50 hours)/ (SD/ $\sqrt{n}$ )

Z = (52-50)/(4/ $\sqrt{25}$ ) = 2.5

Now, P(Z>2.5) = 0.006 using the standard normal distribution table

Probability that a lamp will be burning at the end of 1300 hours period is 0.006

4 0

3 years ago

A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1),

prisoha [69]

24/36 which simples down to 2/3 ever 2 in 3 roles

5 0

3 years ago

The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

7 0

3 years ago

If i can get 3 snapple Iced tea. and its 3 for $6 How would it be if i get 2 snapple Iced tea?

nikklg [1K]

Answer:

4 dollars for 2 drinks (2 dollars for 1 drink)

Step-by-step explanation:

Okay, so you can get 3 snapple drinks from 6 dollars. and you want to know the cost of 2 snapple drinks.

3 ÷ 6 = 2

So 1 drink is 2 dollars, if you wanted to buy 2 drinks the cost would be 4 dollars! Have a great day friend! :D

8 0

3 years ago

Read 2 more answers

Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtai

Aneli [31]

Answer:

I cannot understand this question

Step-by-step explanation:

I don't know what is in the question

5 0

2 years ago