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777dan777 [17]
3 years ago
9

Wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and w

ill save $25 each month. The second runner has $50 in savings and will save $60 each month.
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?

112 – 25m + 45 = 50 – 60m
112 + 25 + 45m = 50m + 60
112 + 25 – 45m = –50m + 60
112 + 25m + 45 = 50 + 60m
Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0

Answer:

I believe the last answer is correct

Step-by-step explanation:

Both runners are gaining money

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Rosa claims the longest string of prime factors for 30 is 2x3x5. Tyee claims there is a longer string, 1x2x1x3x1x5. Who is corre
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Rosa is correct, as 1 is not considered a prime no.
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3 years ago
The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the
agasfer [191]

Answer:

0.9138 = 91.38%

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

10 items

This means that n = 10

5 percent of the items shipped can be defective.

This means that p = 0.05

Probability that a batch that meets the contract requirements will be shipped without further inspection

Probability of 1 or fewer defects.

So

P(X \leq 1) = P(X = 0) + P(X = 1)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987

P(X = 1) = C_{10,1}.(0.05)^{1}.(0.95)^{9} = 0.3151

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138

So the answer is:

0.9138 = 91.38%

4 0
3 years ago
Read 2 more answers
Today, Noah swam 1 mile at swim practice and Liam sprinted 880 yards at track practice. How many more yards did Noah travel duri
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First convert both distances to the same unit. 1 mile is 5280 feet or 1760 yards. Subtract 1760-880 and get 880 yards. Noah swam 880 yards further than Liam ran.
6 0
3 years ago
Which pair of undefined terms is used to define the term parallel lines?
Anton [14]

Answer:Coplanar line

Step-by-step explanation:

3 0
3 years ago
If two thirds of a number decreased by 20 is 40, what is the number
oee [108]

Answer:

The unknown number is 90

Step-by-step explanation:

This question requires a good understanding so as to interprets it well

And always ensure that all symbols used in representation are well stated so as to help the examiner or anyone who will mark it to understand better

So back to the question,let the unknown number be x

And two thirds of the unknown number is 2/3x

2/3x was decreased by 20 which can be written as 2/3x-20

And this decrease gives 40

That's,2/3x-20=40

Then go ahead to solve the question

Start by finding the LCM and the LCM is 3

2x-60/3=40

Cross multiply

2x-60=40×3

2x-60=120

Collect like terms by adding 60 to both sides

2x=180

Divide both sides by 2

x=90

Therefore the final answer is 90

8 0
3 years ago
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