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2 years ago

What is 7/8 of the depth of a 32 foot lake

2 answers:

7 0

32/8=4
7*4=28
You divide 32 by 8 because that gives you the value of one part of the fraction, then you times that by the number of parts you are trying to find, in this case 7, leaving you with 28 feet.

zaharov [31]2 years ago

6 0

I think the answer you are looking for is 28.
7/8 multiplied by 32 gives you 28.

You might be interested in

Every month, $35 is withdrawal from Tony saving account to pay for his gym membership. He has enough savings to withdraw no more

schepotkina [342]

9 is your answer
because 10times35 is 350 -35 is 315

3 0

3 years ago

Solve for w 3w-3+4=1-5w

defon

The answer to your question is 0.

6 0

3 years ago

One strange phenomenon that sometimes occurs at U.S. airport security gates is that an otherwise law-abiding passenger is caught

valentinak56 [21]

Answer:

c. 0.16

Step-by-step explanation:

For each passenger there are only two possible outcomes. Either they are caught with a gun, or they are not. The probability of a passenger being caught with a gun is independent from other passengers. So we use the binomial probability distribution to solve this question.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 3000000, p = 0.00001$

$\mu = E(X) = np = 3000000*0.00001 = 30$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{3000000*0.00001*(1-0.00001)} = 5.48$

What is the probability that tomorrow more than 35 domestic passengers will accidentally get caught with a gun at the airport?

This probability is 1 subtracted by the pvalue of Z when X = 35. So

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

$Z = \frac{35 - 30}{5.48}$

$Z = 0.91$

$Z = 0.91$ has a pvalue of 0.8186

1 - 0.8186 = 0.1814.

The closest answer is:

c. 0.16

8 0

3 years ago

The mean of a set of data is 45 years. Find the missing numbers in the data set {40,45,48,?,54,?,45}. Explain the method or stra

Vera_Pavlovna [14]

Answer:

42 and 41

Step-by-step explanation:

So how I did it tbh I went everywere with this but I went backwards because the how you find the mean of something is adding all the values and then dividing them by the number of values(40+41+42+45+45+48+54=315, 315divided by 7=45) but anyway 45x7(because multiplication is the opposite of division)that equals 315-232 which is the answer to 40+45+48+54+45 which were the numbers that were given

8 0

2 years ago

X² - 4x +40=0<br> How do I solve this

sineoko [7]

Answer:

x = 2 + 6i, x - 6i.

Step-by-step explanation:

To factor this you need 2 numbers whose product is + 40 and whose sum is -4. There are no such numbers so we could use the method of completing the square:

x^2 - 4x + 40 = 90

x^2 - 4x = -40

(x - 2)^2 - 4 = -40

(x - 2)^2 = -36 - So the roots are complex numbers:

x - 2 = +/-√36

x = 2 + 6i, x - 6i.

8 0

3 years ago