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marishachu [46]
3 years ago
14

Flip a coin and toss a 1-6 number cube. Probability of: (heads and not a 3)

Mathematics
1 answer:
jeka943 years ago
3 0
When finding the probability of two things happening, you multiply the probability of each individual thing happening. The chances of heads are 1/2 and the chances of not a 3 are 5/6. 1/2*5/6 = 5/12. The probability of that is 5/12
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Mekhanik [1.2K]

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5 0
3 years ago
Suppose a 50-foot ladder is leaning against a wall. Which statements about the base of the ladder are true?
Liula [17]

Answer and Step-by-step explanation:

These are the statements that make the question complete:

A. If the base is 24 feet from the wall, the ladder reaches 45 feet up the wall.

B. If the base is 30 feet from the wall, the ladder reaches 40 feet up the wall.

C. If the base is 27 feet from the wall, the ladder reaches 44 feet up the wall.

D. If the base is 14 feet from the wall, the ladder reaches 48 feet up the wall.

Since the ladder leans against a wall, a right angle triangle is formed. Since the ladder is now slant, then it's length becomes the hypothenuse.

The correct statements can be gotten through Pythagoras theorem which says:

A² + B² = C² where C is the hypothenuse and A and B are the other two sides.

Since the hypothenuse is 50, we can test each statement by taking the square of the two sides and add them up, if they are equal to 50² = 2500, then the statement is true.

A. 24² + 45² = 576 + 2025 = 2601 ≠ 2500, therefore it is false.

B. 30² + 40² = 900 + 1600 = 2500, therefore it is true.

C. 27² + 44² = 729 + 1936 = 2665 ≠ 2500, therefore it is false

D. 14² + 48² = 196 + 2304 = 2500, therefore it is true.

From here, statements B and D are true while the rest are all false.

7 0
3 years ago
Evaluate 4x^2 y^-3 for x=3 and y=-2
Doss [256]

Answer:

36   and -1/8

Step-by-step explanation:

x^2 = 3^2 = 9 * 4 = 36

y^-3 = (-2)^-3 = -1/8

6 0
3 years ago
Read 2 more answers
Bills family is driving across the country on vacation . They plan to stop at historical sites in each state they drive through.
maks197457 [2]

Answer: Blll's family has 70% of driving left.

Step-by-step explanation:

The total mileage of the trip = 3,000 miles.

miles driven so far = 900miles

Miles of diatance left = 3000- 900=2100

Percentage of driving left =  Miles of diatance left / Total miles to cover x 100

=2100/3000 x 100

= 7/10  x100

70%

4 0
3 years ago
A cup is filled with pencils. The teacher sharpen 1/4 of them. A student sharpen 2/3 of them. The fraction of pencils left to be
Bad White [126]

Answer:

1/12

Step-by-step explanation:

1/4+2/3=11/12

4 0
2 years ago
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