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1 year ago

If p and q vary inversely and pp is 23 when q is 6, determine q when p is equal to 69.

Mathematics

1 answer:

Lina20 [59]1 year ago

4 0

Answer:

Answer is q = 2

Step-by-step explanation:

First make the equation with a constant so p=k/q

then substitute q to 6 and p to 23.

Then you have 23=k/6 and to find k multiply both sides to get k=138

next substitute p as 69=138/q then multiply q on both sides to get 69xq=138 and then divide 69 to 138 go get q which is 2

Like if it helped!

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Simplify: (–2x+y)(-58 y) O 10x10, 10xv2 10xy 10x10 ,

alekssr [168]

Answer:

Choice C

Step-by-step explanation:

$(-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4$

Hope this helps!

8 0

3 years ago

Nathaniel has $2 worth of dimes and quarters. He has 6 more dimes than quarters. By following the steps below, determine the num

Aleksandr-060686 [28]

Answer:

10 dimes and 4 quarters

Step-by-step explanation:

Number of dimes = d, each d = 10 c
Number of quarters = q, each q = 25 c
Total = $2 = 200 c

Equations according the given:

10d + 25q = 200
d = q + 6

Solve for q by substitution:

10(q + 6) + 25q = 200
10q + 60 + 25q = 200
35q = 140
q = 140/35
q = 4

Find the value of d:

d = 4 + 6 = 10

Nathaniel has 10 dimes and 4 quarters

8 0

3 years ago

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 12

melamori03 [73]

Answer:

98.75% probability that every passenger who shows up can take the flight

Step-by-step explanation:

For each passenger who show up, there are only two possible outcomes. Either they can take the flight, or they do not. The probability of a passenger taking the flight is independent from other passenger. So the binomial probability distribution is used to solve this question.

However, we are working with a large sample. 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

The probability that a passenger does not show up is 0.10:

This means that the probability of showing up is 1-0.1 = 0.9. So $p = 0.9$

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets

This means that $n = 125$

Using the approximation:

$\mu = E(X) = np = 125*0.9 = 112.5$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{125*0.9*0.1} = 3.354$

(a) What is the probability that every passenger who shows up can take the flight

This is $P(X \leq 120)$ , so this is the pvalue of Z when X = 120.

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

$Z = \frac{120 - 112.5}{3.354}$

$Z = 2.24$

$Z = 2.24$ has a pvalue of 0.9875

98.75% probability that every passenger who shows up can take the flight

7 0

3 years ago

Triangle CAT was rotated to create triangle C’A’T’. Describe the transformation using details and degrees

Elis [28]

Answer:

As this triangle is being transformed by rotation, the angles will stay same as well as the sides and other details, if you are doing this on a coordinate plane, then the points of the triangle would be changed and nothing else

If my answer helped, please mark me as the brainliest!!

Thank You!

5 0

3 years ago

3 more than the product of 7 and a number X is less than 26 write an inequality for the statement above

Marta_Voda [28]

7x+3<26 is the answer

4 0

3 years ago