The fish tank has 60 fish. 12 of the fish have spots. What percent of the fish have spots?

NEED HELP!! Scenario #1: You flip a coin and roll a six sided die. What is the probability that you will flip heads and roll a n

leva [86]

Scenario #1:

Flipping a coin and rolling a die are independent events, so the combined probability is the product of the individual probabilities.

Flipping a coin: There are two different possible outcomes, heads and tails. You are interested in heads. You are interested in 1 outcome out of 2.

p(heads) = 1/2

Rolling a die: There are 6 different possible outcomes, the numbers 1, 2, 3, 4, 5, and 6. You are interested in a number greater than 2, so your desired outcomes are 3, 4, 5, 6, which means 4 different desired outcomes out of 6.

p(die toss greater than 2) = 4/6 = 2/3

Combined probability:

p(heads followed by number greater than 2) =

= p(heads) * p(die toss greater than 2)

= 1/2 * 2/3

= 1/3

Scenario #2:

There are 4 colors on the spinner. For each color on the spinner, the die can land on one of 6 numbers. 4 * 6 = 24. There are 24 different combined outcomes.

You are interested in blue OR 6. Six outcomes have blue and a number from 1 to 6. Then if the spinner lands in any of the other 3 colors, each one has one outcome of 6 with that color. The total number of desired outcomes is 6 + 3 = 9.

Number of desired outcomes: 9

Number of possible outcomes: 24

p(blue or 6) = 9/24 = 3/8

Final Question:

The scenario that gives you better odds is Scenario #2 since 3/8 > 1/3.

4 0

3 years ago

In rectangle JKLM, angle JML is 3x - 15. Find the value of x.

S_A_V [24]

All angles of a rectangle are right angles.
Right angles measure up to 90 degrees.
JML is also a right angle which means 3x - 15 is equal to 90

3x - 15 = 90
3x = 105
x = 35

8 0

3 years ago

Noah is solving an equation, and one of his moves is unacceptable. Here are the moves he made.

faust18 [17]

Answer:

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Step-by-step explanation:

The solution is correct up to the step 2x = 6x

2x = 6x

Subtract 2x from both sides.

0 = 4x

Divide both sides by 4.

x = 0

You cannot divide both sides by x since x could be zero, and in fact, it is.

Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

3 0

3 years ago

How many months until they price is the same in 22 + 24.50x = 47 + 18.25x

solmaris [256]

I think 89 I don’t know why I am just guessing

8 0

3 years ago

Today joelle walked at a rate of 3 miles per hour and she ran 15 minutes at a rate of 6 miles per hour.How many total miles did

svetoff [14.1K]

I added a screenshot with the complete question

Answer:
Total miles = 2.5 miles

Explanation:
1- While walking:
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked $\frac{20}{60} = \frac{1}{3}$ of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while walking:
Distance = 3 * $\frac{1}{3}$ = 1 mile

2- While running:
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran $\frac{15}{60} = \frac{1}{4}$ of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while running:
Distance = 6 * $\frac{1}{4}$ = 1.5 miles

3- getting the total mileage:
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles

Hope this helps :)

4 0

3 years ago