7y + 6 - 1 + 12y equals what

The probability of rolling an even number on a fair number cube and drawing a red card from a standard deck of cards is 1/4.

The probability of rolling an even number on a fair number cube is 1/2 because there are three even numbers (2, 4, 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6).

The probability of drawing a red card from a standard deck of cards is 26/52, or 1/2, because there are 26 red cards (13 hearts + 13 diamonds) out of a total of 52 cards in the deck.

To find the probability of both events happening, you multiply the probabilities together: (1/2) * (1/2) = 1/4.

The probability of rolling an even number on a six-sided die and drawing a red card from a standard deck of cards is 1/4. P(EM) refers to the probability of rolling a number that is both even and a multiple of three. P(E OR M) represents the probability of rolling a number that is either even or a multiple of three.

The probability of rolling an even number on a fair six-sided die is calculated by counting the even numbers (2, 4, 6) and dividing by the total number of sides, which gives us P(E) = 3/6 = 1/2. For drawing a red card from a standard deck of 52 playing cards, half of the cards are red, so P(Red) = 26/52 = 1/2. To find the combined probability of both independent events occurring, we multiply their respective probabilities: P(Even number and Red card) = P(E) × P(Red) = (1/2) × (1/2) = 1/4.

What does P(EM) mean in words?

P(EM) represents the probability of the intersection of two events, E and M, meaning the probability that the number rolled is both even and a multiple of three.

What does P(E OR M) mean in words?

P(E OR M) signifies the probability of the union of two events, E or M, which is the chance that the number rolled is either even or a multiple of three.

1 ton = 2000 pounds

4* 2000 = 8000 pounds total

8000 * 0.60 = $4,800.00

it will cost $4,800 to move

Answer:

Step-by-step explanation:

1 ton = 2000 pounds

4* 2000 = 8000 pounds total

8000 * 0.60 = $4,800.00

it will cost $4,800 to move

The total wage for full-time workers is 84000$.

Simplifying a value simply means finding it in its most basic form. To simplify the problem, we use a number of approaches, including PEMDAS and BODMAS. Aside from the value, the variables must also be made simpler.

Given, A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff.

The Total wage for the full-time staff =  36000 + 27000 + 21000

The total wage for the full-time staff = 84000

Therefore 84000$ was the wage bill for the 3 full-time staff.

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110% =1.10

 multiply the old price by that

2.85 *1.10 = 3.135

 round to 3.14

 new price is $3.14

To find the height of the mat off the ground, we can use trigonometry.

To find the height of the mat off the ground, we can use trigonometry. Since the angles of the right triangle formed by the mat are 60° and 30°, we can determine the height using the sine function. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse.

In this case, the side opposite the 30° angle is the height of the mat, and the hypotenuse is the length of the mat, which is 5 feet. So, we have sin(30°) = height/5. Solving for the height, we get height = 5 * sin(30°) = 5 * 0.5 = 2.5 feet.

Therefore, the mat is 2.5 feet off the ground.

The correct answer is option B. The height of the gymnastics mat off the ground is [tex]\frac{5\sqrt{3}}{3}}[/tex] feet.

Given that the gymnastics mat extends 5 feet across the floor, this length corresponds to the side opposite the 60° angle in the right triangle.

Let's denote the length of the side opposite the 30° angle as [tex]$x$[/tex].

According to the properties of a 30-60-90 triangle, the side opposite the 60° angle is [tex]\sqrt{3}[/tex] times the side opposite the 30° angle, so we have:

[tex]\[ 5 = x\sqrt{3} \][/tex]

To find [tex]$x$[/tex], we divide both sides of the equation by [tex]$\sqrt{3}$[/tex]:

[tex]\[ x = \frac{5}{\sqrt{3}} \][/tex]

To rationalize the denominator, we multiply the numerator and the denominator by [tex]$\sqrt{3}$[/tex]:

[tex]\[ x = \frac{5\sqrt{3}}{3} \][/tex]

The complete question is:

From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?

A. [tex]\frac{5}{2}[/tex] ft.

B. [tex]\frac{5\sqrt{3}}{3}[/tex] ft.

C. [tex]5\sqrt{3}}[/tex] ft.

D. 10 ft.

The selling price of the house decreased by 16%.

To find the percentage decrease in the selling price of the house, we need to calculate the difference between the initial selling price and the final selling price, and then divide that by the initial selling price. Finally, we multiply the result by 100 to get the percentage decrease.

Therefore, the selling price of the house decreased by 16%.

The selling price of the house decreased by 16%.

To find the percentage decrease in the selling price of the house, we can use the following formula:

Percentage decrease = ((Initial price - Final price) / Initial price) x 100

In this case, the initial price is $250,000 and the final price is $210,000. Plugging these values into the formula, we get:

((250,000 - 210,000) / 250,000) x 100 = (40,000 / 250,000) x 100 = 0.16 x 100 = 16%

Therefore, the selling price of the house decreased by 16%.

The volume of a sphere is.

Answer:

C

Step-by-step explanation:

141.9in3

Answer:

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?

A