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3 years ago

Find the slope between (-3,1) and (-17,2)

Mathematics

1 answer:

lapo4ka [179]3 years ago

7 0

Answer:

-1/14

Step-by-step explanation:

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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.

6 0

3 years ago

Simplify the question 18x - 6x + 2x

Aleonysh [2.5K]

To common number is 2 to divide all of them to 2
9x - 3x + x
6x + x
the simplified answer is 7x

3 0

3 years ago

Joe bought a box of laundry detergent that contains 195 scoops.

7nadin3 [17]

Answer:

78 laundries

$0.25

Step-by-step explanation:

If the box contains 195 scoops and at once he uses 2 1/2 you have to divide 195 by 2 1/2 and you get 78.

How much is he paying for each load? you have to find the unit rate. The box costs $19.99 he can do 78 laundries at once so you divide the money by the quantity or in other words $19.99 by 78 and get 0.2562820512820513, since we are talking about money we use only the firs two decimals, so he pays $0.25 per load of laundry.

8 0

2 years ago

-2(4a+4b)+5a>-35<br> Solve the inequality

Amiraneli [1.4K]

Step-by-step explanation:

-2 (4a + 4b) + 5a > -35

-8a -8b + 5a > -35

-3a -8b > -35

for a

-3a > -35 + 8b

a < -35 + 8b ÷ -3

a < 35 - 8b ÷ 3

for b

-3a - 8b > -35

-8b > -35 + 3a

b < -35 + 3a ÷ -8

b < 35 - 3a ÷ 8

5 0

3 years ago

Give an explaination on what Comparing integers is

Paraphin [41]

Okay so basically an integer is just a whole number that isn’t a fraction. Comparing integers is basically comparing whole numbers. For example, comparing the numbers 2 and 34 would be 2<34 and that’s comparing them to each other! :)

3 0

2 years ago