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3 years ago

$2.99 toy ; 30% discount

1 answer:

5 0

If a toy that costs $2.99 is at a 30% discount then you first need to make 30% a decimal.

30% = .3

Now multiply $2.99 by .3 to find the discount which is .897

Since .897 has a thousandths place we need to round that which would make it 90 cents.

Now we know there is a 90 cent discount on a $2.99 toy.

take $2.99 - 90 cents = $2.09

The toy costs $2.09 after a 30% discount

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Johns grade on his math test was 94 his grade on the second test was 85 what is the percent change in his grade to the nearest p

Olenka [21]

Answer:

req percentage change=9.5744%

Step-by-step explanation:

change=94-85=9

%change= $\frac{9\times100}{85}$

%change = $\frac{900}{85}$

%change =9.5744%

4 0

2 years ago

You always need some time to get up after the alarm has rung. You get up from 10 to 20 minutes later, with any time in that inte

Mama L [17]

Answer:

a) P(x<5)=0.

b) E(X)=15.

c) P(8<x<13)=0.3.

d) P=0.216.

e) P=1.

Step-by-step explanation:

We have the function:

$f(x)=\left \{ {{\frac{1}{10},\, \, \, 10\leq x\leq 20 } \atop {0, \, \, \, \, \, \, otherwise }} \right.$

a) We calculate the probability that you need less than 5 minutes to get up:

$P(x$

Therefore, the probability is P(x<5)=0.

b) It takes us between 10 and 20 minutes to get up. The expected value is to get up in 15 minutes.

E(X)=15.

c) We calculate the probability that you will need between 8 and 13 minutes:

$P(8\leq x\leq 13)=P(10\leqx\leq 13)\\\\P(8\leq x\leq 13)=\int_{10}^{13} f(x)\, dx\\\\P(8\leq x\leq 13)=\int_{10}^{13} \frac{1}{10} \, dx\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot [x]_{10}^{13}\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot (13-10)\\\\P(8\leq x\leq 13)=\frac{3}{10}\\\\P(8\leq x\leq 13)=0.3$

Therefore, the probability is P(8<x<13)=0.3.

d) We calculate the probability that you will be late to each of the 9:30am classes next week:

$P(x>14)=\int_{14}^{20} f(x)\, dx\\\\P(x>14)=\int_{14}^{20} \frac{1}{10} \, dx\\\\P(x>14)=\frac{1}{10} [x]_{14}^{20}\\\\P(x>14)=\frac{6}{10}\\\\P(x>14)=0.6$

You have 9:30am classes three times a week. So, we get:

$P=0.6^3=0.216$

Therefore, the probability is P=0.216.

e) We calculate the probability that you are late to at least one 9am class next week:

$P(x>9.5)=\int_{10}^{20} f(x)\, dx\\\\P(x>9.5)=\int_{10}^{20} \frac{1}{10} \, dx\\\\P(x>9.5)=\frac{1}{10} [x]_{10}^{20}\\\\P(x>9.5)=1$

Therefore, the probability is P=1.

3 0

2 years ago

Why is 2.38 not a probability?

Y_Kistochka [10]

Answer:

Probability can not exceed 1. If an event has a probability of 1, then the event is certain to happen. Example: if you have a bag of 5 blue marbles the probability that you will pull out a blue is 5/5 which simplifies to 1.

Step-by-step explanation:

3 0

2 years ago

The lenght of a rope is 2.589 yards.round the lenght to the nearest tenth of a yard.

Sphinxa [80]

Please mark me brainiest i think the answer is 2.600

5 0

3 years ago

Factor completely 2x^3-6x^2+5x-15

Olenka [21]