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Anika [276]
3 years ago
5

The life expectancy of a circulating coin is 30 years. The life expectancy of a circulating dollar bill is only

Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0
Life expectancy of dollar bill = d
life expectancy of coin = c

d = 1/20 c

substitute value in for c (30)

d = 1/20 * 30
d = 30/20
d = 1.5

life expectancy of a dollar bill = 1.5 years
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It took Jimena 89 minutes to run a 15-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minu
Novosadov [1.4K]
The answer is <span>9.55 minutes
</span>
1. Turn 15 km into miles:
    1 km = 0.621 mile
    15 km = 15 * 0.621 mile = 9.315 miles
So, she ran 9.315 miles for 89 minutes

2. Calculate <span>how many minutes it took Jimena to run 1 mile during the race:
    S</span>he ran 9.315 miles for 89 minutes.
    She ran 1 mile for x minutes.
    9.315 mi : 89 min = 1 mi : x
    x = 89 min * 1 mi / 9.315 mi
    x = 9.55 min
3 0
3 years ago
Find the measure of the indicated angle.<br> Please can you help?<br> I need to show work.
777dan777 [17]

Answer:

64°

Step-by-step explanation:

∠RQP = 46°

∠PRQ = 180° - 110° = 70°

∠PRQ + ∠RQP + <u>∠RPQ</u> = 180°

70° + 46 + <u>∠RPQ</u> = 180°

116° + <u>∠RPQ</u> = 180°

Find <u>∠RPQ</u>

<u>∠RPQ</u> = 180° - 116° = 64°

4 0
3 years ago
How are radicals and rational exponents related?
icang [17]

Answer:

Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.

Step-by-step explanation:

8 0
3 years ago
In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin
denpristay [2]

Answer:

a) Z = -0.8

b) Z = 2.4

c) Mary's score was 241.25.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 210, \sigma = 25

a) Find the z-score of John who scored 190

Z = \frac{X - \mu}{\sigma}

Z = \frac{190 - 210}{25}

Z = -0.8

b) Find the z-score of Bill who scored 270

Z = \frac{X - \mu}{\sigma}

Z = \frac{270 - 210}{25}

Z = 2.4

c) If Mary had a score of 1.25, what was Mary’s score?

Z = \frac{X - \mu}{\sigma}

1.25 = \frac{X - 210}{25}

X - 210 = 25*1.25

X = 241.25

Mary's score was 241.25.

3 0
3 years ago
Read 2 more answers
A quality control manager at a factory selects 7 light bulbs at random for inspection out of every
shutvik [7]

Answer:

350 lightbulbs

Step-by-step explanation:

First find the number of batches made.

20,000 divided by 400 = 50

This means that there are 50 batches in which 7 light bulbs will be selected at random to be inspected.

We can multiply the number of batches to the lightbulbs being inspected.

50 times 7 = 350

Therefore, 350 lightbulbs will be inspected.

Please tell me if I am incorrect :)

6 0
3 years ago
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