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3 years ago

Yis inversely proportional to X. When X = 3, Y = 8 Work out the value of Y when X = 8.

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

8 0

Answer:

Y = 3

Hope This Helps!

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Part A: The sun produces 3.9 • 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 2

pickupchik [31]

A perfect situation to use a proportion:

(3.9 x 10³³) / 1 = X / (2.45 x 10⁵) .

Solve that proportion for ' X ' in the usual way.
If you can't remember how to solve a proportion, then
THAT's what you have to go look up. It's much more
important to you right now than how much energy the
sun is putting out.

7.4 x 10⁴ mm is the same size as about 243 feet !
If the tracks on a DVD were that far apart, there would not be
room for very many tracks on a DVD. That's not reasonable.

If the tracks are 7.4 x 10⁻⁴ mm apart, then there are about
34,000 tracks in a stripe that's 1-inch wide. I have no idea
how they do this, but it's certainly more reasonable than the
other choice.

5 0

3 years ago

PLZZZ I'M DESPERATE!!! I GIVE FIVE STARS AND BRAINLIEST!!!! PLZZZZ ASAP! Ten boxes are packed tightly in a crate. From above, th

Elodia [21]

Answer:

$6:5$

Step-by-step explanation:

Let $a$ be the length of the longer side of the smaller rectangle and $b$ be the length of the shorter side of the smaller rectangle

When you look at the combined rectangle from top to bottom, you can see that $3a=l$ . Therefore, $a=\frac{1}{3}l$

This is the same for $4b=l$ . Thus, $b=\frac{1}{4}l$

When you look from right to left, you can see that $w = 2b+a$ . Using this, we can represent $w$ in terms of $l$ .

$w=\frac{1}{2}l+\frac{1}{3}l\\\\w=\frac{5}{6}l$

Now, we can find the ratio of $l:w$ :

$l:\frac{5}{6}l\\\\1:\frac{5}{6}\\\\6:5$

This question was quite hard to explain.

If you have any questions about the solution, feel free to ask.

Please have a look at the diagram below to get a better understanding of the solution.

5 0

4 years ago

Lie detectors Refer to Exercise 82. Let Y = the number of people who the lie detector says are telling the truth.

mr_godi [17]

Answer:

a) $P(Y\geq 10) = PX \leq 2) = 0.558$

b) $E(X) = \mu_X = np = 12*0.2 = 2.4$

$\sigma_X = \sqrt{np(1-p)}=\sqrt{12*0.2*(1-0.2)}=1.386$

$E(Y) = \mu_Y = np = 12*0.8 = 9.6$

$\sigma_Y = \sqrt{np(1-p)}=\sqrt{12*0.8*(1-0.8)}=1.386$

For this case the expected value of people lying is 2.4 and the complement is 9.6 and that makes sense since we have a total of 12 poeple.

And the deviation for both variables are the same.

Step-by-step explanation:

Assuming this previous info : "A federal report finds that lie detector tests given to truthful persons have probability about 0.2 of suggesting that the person is deceptive. A company asks 12 job applicants about thefts from previous employers, using a lie detector to assess their truthfulness. Suppose that all 12 answer truthfully. Let X = the number of people who the lie detector says are being deceptive"

For this case the distribution of X is binomial $X \sim N(n=12, p=0.2)And we define the new random variable Y="the number of people who the lie detector says are telling the truth" so as we can see y is the oppose of the random variable X, and the distribution for Y would be given by:[tex] Y \sim Bin (n=12,p=1-0.2=0.8)$

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$