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Alexxandr [17]
3 years ago
7

An older person is 7 years older than five times the age of a younger person. The sum of their ages is 37. Find their ages.

Mathematics
1 answer:
OLga [1]3 years ago
6 0

Answer:

older person: 32 yrs younger person: 5 yrs

Step-by-step explanation:

older person age: o

younger person age: y

o=5y+7

o+y=37

Solve with substitution:

5y+7+y=37

6y+7=37

6y=30

y=5

Plug back in:

o+5=37

o=32

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3 years ago
If an experimenter sets equal to .01, then she is defining a "statistically rare" event as an event occurring more than one time
Fynjy0 [20]

Answer:

The correct answer is an event occurring one or fewer times in 100 times if the null hypothesis is true.

Step-by-step explanation:

For a statistically rare event, its probability is relatively small and the event is very unlikely to occur.  Therefore, if an experimental sets equal to 0.01 which is statistically rare, then we can interpret this mathematically as:

p(event) = 0.01 = 1/100

where p(event) is the probability of the event.

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3 0
3 years ago
$1000 is invested at 2.9% annual interest for 6 months.<br> a. Simple Interest b. Compound Interest
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Answer:

a. Simple interest = $174

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Step-by-step explanation:

Given the following data;

Principal, P = $1000

Interest, R = 2.9%

Time, T = 6 months

a. To find the simple interest;

S.I = (PRT)/100

S.I = (1000*2.9*6)/100

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b. To find the compound interest;

A = P(1 + \frac{r}{100})^{t}

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A = 1000(1.1871)

A = $1187.1

8 0
2 years ago
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