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3 years ago

13

Leo has $10 more than Sofia and Jacob has $5 less than Sophia. Together, the three siblings have a total of $ 98. How much money

does each person have?

1 answer:

Mariulka [41]3 years ago

5 0

Answer:

Sophia has 31

Leo has 41

Jacob 26

Step-by-step explanation:

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Jenny's parents deposit $10,000 for her college tuition in an account with a 3% simple interest rate. How long will it take to e

KiRa [710]

Ok so <span>Interest = Principle * rate * time P = 10,000 R = 3% = 0.03 T (we need to solve for t I = 3600 now we sub.. 3600 = (10,000)(0.03)(t) 3600 = 300t -- divide both sides by 300 3600/300 = t 12 = t check.. I = prt 3600 = (10000)(0.03)(12) 3600 = (300)(12) 3600 = 3600 (correct) It would take 12 years</span>

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2 years ago

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A central angle θ in a circle of radius 4 m is subtended by an arc of length 5 m. find the measure of θ in degrees. (round your

koban [17]

Answer:

$\theta=71.6\°$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=4\ m$

substitute the values

$C=2\pi (4)=8 \pi\ m$

step 2

Remember that

360 degrees subtends the arc of length $8 \pi\ m$ (circumference)

so

by proportion

Find the measure of θ by an arc of length 5 m

assume $\pi=3.1416$

$\frac{360}{8\pi}=\frac{\theta}{5}\\ \\ \theta=360*5/8\pi \\ \\ \theta=71.6\°$

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2 years ago

Multiply the sum of -13/8 and 5/12 by their difference.

REY [17]

Answer:

1421/576

Step-by-step explanation:

Sum = - 13/8 + 5/12 = - 39/24 + 10/24 = - 29/24

Difference = - 13/8 - 5/12 = - 39/24 - 10/24 = - 49/24

Sum * Difference = (-29/24)*(-49/24) = 1421/576

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2 years ago

Let’s explore a quotient raised to an exponent

irakobra [83]

The answer is 216/y^3

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2 years ago

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If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person se

notsponge [240]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or higher

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 100, \sigma = 5$

What is the probability that a person selected at random will have an IQ of 110 or higher?

This is 1 subtracted by the pvalue of Z when X = 110. So

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

$Z = \frac{110 - 100}{5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or higher

5 0

2 years ago