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2 years ago

9

Consider a standard deck of 52 cards (13 cards each in 4 suits, clubs, spades, diamonds and hearts). What is the probability of

picking out a jack of spades and then, without replacing the card to the deck, pick out a jack of diamonds?

1 answer:

Anna11 [10]2 years ago

4 0

Answer:

1/2652

Step-by-step explanation:

52 cards one jack spades 1/52

now 51 cards left one jack diamonds 1/51

1/52 * 1/51 = 1 / 2652

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31. A business rents cars for $150 a day and vans for $300 a day. One day it rented a total of 30 vehicles and

Advocard [28]

Answer:

D. 22 Cars and 8 Vans

Step-by-step explanation:

1. You multiply 22 x 150 = 3,300.

2. Then you multiply 300 x 8 = 2,400.

3. Next, add 3,300 + 2,400

4. That equals 5700.

Hopefully, that helps!

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3 years ago

Use the distributive property<br> write an equivalent expression.<br> 26 + 2.9 =

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3 years ago

One lap around an indoor track is 0.15 mile. Brett runs 9 laps around the track. What is the total distance Brett runs?

Ket [755]

Answer: Brett runs for 1.35 miles in total

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3 years ago

Read 2 more answers

A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t

frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y

since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

$\mathbf{L = 3x - 2( \dfrac{1000000}{x})}$

$\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}$

$\mathbf{ x^2= \dfrac{2000000}{3} }$

$\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }$

$\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}$

Now, if we replace the value with equation (1), then y will be:

$\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}$

$\mathbf{x =500\sqrt{6}}$

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

$\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}$

$\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}$

$\mathbf{L =2000 \sqrt{6} }$

$\mathbf{L \simeq 4899 \ ft}$

Learn more about the area of a rectangle here:

brainly.com/question/25292087

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2 years ago

Explain what a graph for Jed’s test scores {61%, 65%, 73%, and 79%} would look like if it was not misleading. Make sure it is di

Mila [183]

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3 years ago