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3 years ago

Find three consecutive integers such that the sum of the first and third is 22? need help with it

Mathematics

2 answers:

marusya05 [52]3 years ago

8 0

Answer:

10, 11 and 12.

Step-by-step explanation:

Let the integers be x, x+1 and x+2. Then:

x + x+2 = 22

2x = 22 - 2 = 20

x = 20/2

x = 10.

coldgirl [10]3 years ago

4 0

Answer:

Consecutive integers:

(x+1)

(x+2)

Now your equation is given by sum of the first and twice the third is equal to four times the second decreased by five:

x+2(x+2) = 4(x+1)-5

Step-by-step explanation:

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What is the height of a wall 28 ft long that requires 1568 feet long

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3 years ago

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125 2/3as an integer

Stels [109]

Answer:

125.666666666666666666...

Step-by-step explanation:

1/3 is 0.333333333333333...

2/3 is 0.666666666666666666...

3/3 is 1

6 0

3 years ago

A private ship carries two types of cargo: large crates and extra-large crates. Each type of crate weighs a specific amount.

Arisa [49]

Answer:

G. 32

Step-by-step explanation:

32 x 335 = 10720

16,100 - 10720 = 5380/190 = 28.3157894737

275 x 32 = 8800

18,800 - 8800 = 10,000/400 = 25 (This is the closer).

30 x 335 = 10,050

16,100 - 10,050 = 6050/190 = 31.8421052632

30 x 275 = 8250

18,800 - 8250 = 10550/400 = 26.375 (Same reason why it does't work)

25 x 335 = 8375

16,100 - 8375 = 7725/190 = 40.6578947368

25 x 275 = 6875

18,800 - 6875 = 11925/400 = 29.8125

24 x 335 = 8040

16,100 - 8040 = 8060/190 = 42.4210526316

24 x 275 = 6600

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8 0

2 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.

6 0

2 years ago

Mr.Thompson is on a diet. He currently weighs 250 pounds. He loses 3 pounds per month. Write an equation that models Mr.thompson

jekas [21]

250-3m

m represents months

Not an equation but an expression since I don’t know the number of months he was on the diet.

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3 years ago

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