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3 years ago

Juan just took a 40 question math test. He scored 75%. How many questions did he get correct

Mathematics

1 answer:

Veronika [31]3 years ago

7 0

Answer:

Step-by-step explanation:

x 0.75

-----------

= 30

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Matt gets paid an hourly rate of $12.50 for the first 40 hours he works in a week. After 40 hours , Matt gets paid at an overtim

lukranit [14]

12.50 x 40 = 500; this is his first week pay from $12.50 an hour for 40 hours

(15 x 55) + 100 = 925; this is the second pay from $15 an hour for 55 hours and an additional $100

Hope this helps! (If not correct me if its wrong xd)

5 0

2 years ago

Calculate annually compounded interest

Hunter-Best [27]

Answer:

$2,851.80

Step-by-step explanation:

Lets use the compound interest formula to solve:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 1.1% into a decimal:

1.1% -> $\frac{1.1}{100}$ -> 0.011

Next, plug the values into the equation:

$A=2,700(1+\frac{0.011}{1})^{1(5)}$

$A=2,851.80$

She will have $2,851.80 after 5 years.

3 0

2 years ago

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=30, p=0.05)$