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irga5000 [103]
3 years ago
10

Sam and Kevin both worked hard over the summer. Together they earned a total of $425. Kevin earned $25 more than Sam.

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0

Answer:

(a)

system of equations are

s+k=425

k-s=25

(b)

Graph is attached

(c)

Sam earned =$200

Kevin earned =$225

Step-by-step explanation:

Let's assume

's' for the amount Sam earned

'k' for the amount Kevin earned

(a)

Together they earned a total of $425

so, we get

s+k=425

Kevin earned $25 more than Sam

so, we get

k=s+25

so, system of equations are

s+k=425

k-s=25

(b)

now, we can draw graph


(c)

intersection point will be our solution

and we got intersection point as

(200, 225)

so,

s=200

k=225

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4 0
3 years ago
The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with me
iragen [17]

Answer:

a) 229 and 305 days

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Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

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In this problem, we have that:

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Standard deviation = 19

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By the Empirical rule, 95% of all pregnancies fall within 2 standard deviations of the mean.

So

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to

267 + 2*19 = 305 days

(b) How short are the shortest 2.5% of all pregnancies?______days or less

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