Find the sum and express it in simplest form.

Express the percent and decimal of 12/15

vova2212 [387]

Percent: 80%
decimal: 0.8

7 0

3 years ago

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The length of the top of a table is 3 m greater than the width. The area is 70 m^2. Find the dimensions of the table.

Keith_Richards [23]

Let's call the width $x$ . Since the length is three more than the width, it is $x+3$ .

The area (which we know to be 70) is given by the multiplication of width and length:

$x(x+3) = 70 \iff x^2+3x = 70 \iff x^2+3x-70 = 0$

To solve this equation, you can use the usual quadratic formula: given an equation $ax^2+bx+c=0$ , the two solutions are

$x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

which in your case becomes

$x_{1,2} = \frac{-3\pm\sqrt{9+280}}{2} = \frac{-3\pm 17}{2}$

So, two solutions are

$\frac{-3-17}{20} = -10,\qquad \frac{-3+17}{2} = 7$

Since we can't accept a negative length, we only accept the second solution.

So, the dimensions are 7 and 10

5 0

4 years ago

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The owners of a large pet store have determined that 65\ee, percent of their customers own dogs. They select 151515 customers at

crimeas [40]

Answer:

D is a binomial random variable with $p = 0.65, n = 15$

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.

Binomial probability distribution

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

65% of the customers have dogs:

This means that $p = 0.65$

15 customers:

This means that $n = 15$

What type of variable is D?

D is a binomial random variable with $p = 0.65, n = 15$

5 0

3 years ago

It takes Zoe 12.5 minutes to swim 20 laps around the pool what is Zoe’s unit rate

katen-ka-za [31]

she swims .625 laps per minute

3 0

3 years ago

13. A bag contains 8 red marbles, 4 purple marbles, 5 green marbles, 2 orange, and 1 blue

nexus9112 [7]

Answer:

a) 9 / 200

b) 13 / 100

Step-by-step explanation:

a) The two events are independent because they do not depend each other since the marbles are replaced. To find the total probability of two independent events, you multiply the probability of each event together.

Probability is represented by the amount of desirable outcomes over the total number of outcomes. The total would be the number of marbles, which is: 8 + 4 + 5 + 2 + 1 = 20 outcomes. The number of orange marbles is 2, so the outcomes where you do not pick orange are 20 - 2 or 18 outcomes. The probability of not picking an orange marble would be 18 / 20 or 9 / 10 (using the formula for probability).

There is one outcome where we can pick a blue marble, so the probability of picking a blue marble is 1 / 20. Now, we need to multiply the probabilities for each event: 1 / 20 * 9 / 10 = 9 / 200

b)There are 5 green marbles and 8 red marbles, so the the total outcomes where you pick green or red is 13. We put that over our total to get 13 / 20.

There are 4 purple marbles, so the probability of picking purple is 4 / 20 or 1 / 5. Now we multiply the two probabilities to get the total probability: 1 / 5 * 13 / 20 = 13 / 100

6 0

3 years ago