A spinner is separated into equal sections numbered 1 through 8. The spinner is spun, and 2 coins are flipped. Using the fundamental counting principle, how many total possible outcomes are there?

Answers

Answer 1

Answer:

The fundamental counting principle states that the total number of outcomes for any compound event is found my multiplying the total number of possible outcomes for each event. The spinner has 8 possible outcomes which are the integers from 1 to 8, each of the two coins has two possible outcomes, a head and a tail.

By the fundamental counting principle, there total number of outcome $n$ is calculated as shown below,

$n=8*2*2=8* 4=32.$

There are 32 possible outcomes.

Answer 2

Answer:

Using the fundamental counting principle, the total possible outcomes are:

Step-by-step explanation:

The spinner is spun, and 2 coins are flipped.

Now when a spinner is spin then total 8 outcomes are possible.

Since any of the 8 numbers could be obtained on the spin( 1 to 8)

and when a coin is flipped then there are only two possible outcome i.e.

either Head or Tail.

Hence, the total number of possible outcomes are:

8×2×2=32

( since the first possibility 8 is possible from spinner and the '2' outcomes are possible from each of the flip of a coin )

Hence, the answer is:

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to multiply a number by 12, Carter likes to multiply the number by 10 and then multiply it by 2 and add the product. Write an expression with parenthesis how carter would solve 12×16

Answers

Since carter multiplies by 10 and then by 2 and adds the two, here we have been given 16 * 12

Step 1: Carter would first multiply the number by 10. This would be = 16*10

Step 2: Carter would multiply the number by 2. This would be = 16*2

Step 3: He would add the two. This would be = (16*10) + (16*2)

Carter's solution would be:

=16*12

=(16*10) + (16*2)

= 160 + 32

= 192

Stan earns $12 per hour by working as an intern at a law firm. How much money does he earn in a week in which he works 28 hours? A. $400 B.$380 C.$350 D.$336 E.$300

Answers

Answer:

The answer is D

Step-by-step explanation:

Use the given graph to determine the limit, if it exists. A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1, a closed point at 3, 7, and a horizontal line starting at the open point 3, 3. Find limit as x approaches three from the right of f of x..

Answers

Answer:

The limit as x approaches three from the right of f(x) is:

Step-by-step explanation:

We are given a coordinate graph such that:

The left limit of three approaches to 1 .

( Since A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point (3, 1) )

The value of the graph at x=3 is: 7

( Since a closed point at (3, 7) )

Also the right limit at x=3 is: 3

( Since there is a horizontal line starting at the open point (3, 3) )

right hand limit is 3 left hand limit is 1.

Hope this helps X

Find the expected value of the winningsfrom a game that has the following
payout probability distribution:

Answers

Answer:

The expected value is $3.95

Step-by-step explanation:

Here, we want to get the expected value

Mathematically, what we have to do here is to multiply each of the probabilities by the pay out value, before we proceed to add up

We have this as;

0(0.5) + 0.2(5) + 0.15(8) + 10(0.1) + 15(0.05)

= 0 + 1 + 1.2 + 1 + 0.75 = 3.95

Answer:

3.00

Step-by-step explanation:

Given that :

Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10

Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05

Expected value :E(X) = ΣX* p(x)

E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)

E(X) = 3

Expected value = 3.00

Please i need help! first answer i will mark brainliest!

Answers

Answer:

Mark the -5 and place an arrow pointing to the left.

Step-by-step explanation:

The sign used in the question mean less than or equal to. So n must be -5 or less.

In gym class, you run 3/5 mile. Your coach runs 10 times that distance each day, How far does your coach run each day?

Answers

first you have to get 3/5 to a decimal to make it easier to multiply. so you would do 5 times 20 and that would make your denominator 100.

___
100

if you times the denominator by 20, you have to do the same thing to the numerator so 3 times 20 is 60 so that's 60/100 which is 0.60 and that's equivalent to 3/5 and 6/10 and all that.so 0.60 times 10 is 6, so your coach runs 6 miles everyday. or you could do 10/1 times 3/5. hope that helped.

Answer:

6 miles

Step-by-step explanation:

3/5 multiplied by 10

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Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below: Pentagon ABCDE and pentagon A prime B prime C prime D prime E prime on the coordinate plane with ordered pairs at A negative 4, negative 2, at B negative 6, negative 3, at C negative 5, negative 6, at D negative 2, negative 5, at E negative 2, negative 3, at A prime 3, 1, at B prime 1, 2, at C prime 2, 5, at D prime 5, 4, at E prime 5, 2 Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'? Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis Translated according to the rule (x, y) →(x + 1, y + 7) and reflected across the x-axis Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the y-axis Translated according to the rule (x, y) →(x + 1, y + 7) and reflected across the y-axis