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3 years ago

Determine the slope given the two points. (-19,4) (17,11) PLEASE SHOW WORK

Mathematics

1 answer:

iogann1982 [59]3 years ago

8 0

Answer:

m=7/36

Step-by-step explanation:

we need two points in order to find the ratio of the change in y and change in x, which is the slope

m=(y-y1)/(x-x1) (you can choose any point as y1 but be careful that you use the corresponding x1 value in the denominator)

m=(11-4)/(17-(-19))

m=7/36

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Marco is playing a game with a standard deck of cards. The first person to select a heart from the deck without looking wins. Wh

mestny [16]

Answer:

What is the theoretical probability that Marco will choose a card with a heart on it? It will be 1/4

What is the theoretical probability that Marco will choose a card without a heart on it? the answer to this is 3/4

Step-by-step explanation:

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4 years ago

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

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3 years ago

A rectangular prism has a volume of 729 ft3. The length width and height are all the same. What is the is the length of each sid

swat32

Answer:

9 ft

Step-by-step explanation:

As length, width and height are same, then it is a square prism / cube

Volume of prism = 729 ft³

side³ = 729

side³ = 9³

Side = 9 ft

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3 years ago

Read 2 more answers

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adelina 88 [10]

Answer:201.06

Step-by-step explanation:

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3 years ago

I need help to see if their equivalent help fast pls

Taya2010 [7]

They are not equivalent. When you distribute the 1/4, the expressions are different.

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3 years ago