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SSSSS [86.1K]
3 years ago
9

An item is regularly priced at $31 . It is on sale for 65% off the regular price.

Mathematics
1 answer:
muminat3 years ago
7 0

65% off means the sale price would be 35% of the original price ( 100% - 65% = 35%)

To find the sale price multiply the original price by 35%

31 x 0.35 = 10.85

The sale price is $10.85

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There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the theoretical probability of randomly drawing
zheka24 [161]
25 total marbles, 17 red plus green, so id say d) 68%
7 0
2 years ago
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Percents means "out of ______" <br><br> 50 <br><br> Questions <br><br> 1000 <br><br> 100
Nastasia [14]

Answer:

percent neans "out of 100"

6 0
3 years ago
A report indicated that 37% of adults had received a bogus email intended to steal personal information. Suppose a random sample
fiasKO [112]

Answer:

5.05% probability that no more than 34% had received such an email.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 700, p = 0.37

\mu = E(X) = np = 700*0.37 = 259

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{700*0.37*0.63} = 12.77

In a random sample of 700 adults, what is the probability that no more than 34% had received such an email?

34% is 0.34*700 = 238

So this probability is the pvalue of Z when X = 238.

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

Z = \frac{238 - 259}{12.77}

Z = -1.64

Z = -1.64 has a pvalue of 0.0505

5.05% probability that no more than 34% had received such an email.

7 0
3 years ago
Pilar ha comprado un coche, da una entrada y lo quiere pagar en 12 meses. Cada mes va a pagar 600,82€. Si ha dado al principio u
Molodets [167]

Answer:

Pilar va a pagar en total por el coche 14209.84€.

Step-by-step explanation:

Pilar ha comprado un coche, da una entrada y lo quiere pagar en 12 meses.

Cada mes va a pagar 600,82€. Como lo quiere pagar en doce meses, luego de finalizado ese tiempo el precio pagado se calcula como:

12 meses* 600,82€ por mes= 7209,84€

Por otro lado, Pilar ha dado al principio una entrada de 7000€. Entonces, el total a pagar por el coche es calculado como:

7000€ + 7209,84€= 14209.84€

<u><em>Pilar va a pagar en total por el coche 14209.84€.</em></u>

7 0
3 years ago
If a number increases from 47 to 70.5 what is the rate of increase?
FrozenT [24]
\frac{70.5-47}{47} \cdot100\%= \frac{23.5}{47} \cdot100\%= \frac{2350\%}{47} =50\%\\\\Ans.\ the\ rate\ of\ increase\ is\ 50\%
6 0
3 years ago
Read 2 more answers
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