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MA_775_DIABLO [31]
3 years ago
6

What is the probability a King is chosen? Express your answer as a fraction, in simplest form.

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0

Answer:

1/13

Step-by-step explanation:

In a deck of 52 cards, there are 4 kings

P(king) = number of kings / total cards

P (king) = 4/52

             = 1/13

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if a rectangle has an area of 30 square meters and a perimeter of 34 meters . what is the dimensions of the rectangle?
timama [110]
P=2(L+W)  and P=34 so

2(L+W)=34

L+W=17 so we can say

L=17-W

A=LW using L from above

A=(17-W)W

A=17W-W^2 and A=30 so

30=17W-W^2

W^2-17W+30=0

W^2-2W-15W+30=0

W(W-2)-15(W-2)=0

(W-15)(W-2)=0

So the dimensions of the rectangle are 15 meters by 2 meters.
7 0
3 years ago
Find the focus and directrix of y=4x^2
Mkey [24]

Hello there

the answer is

(0,1/16)


hope my answer helps

thank you !

5 0
3 years ago
1 pound of apples for $2.15 or 3 pounds of apples for $5.76
ollegr [7]

Answer:$7.91


Step-by-step explanation:add 2.15+5.76=7.91


7 0
3 years ago
7. The largest of the Great Pyramids in Egypt was built with a square base,
strojnjashka [21]

Answer:

Difference between the original and current volumes = 4013140.30 cubic feet

Step-by-step explanation:

Largest pyramid has the square base with one edge = 754 feet

Area of the square base = (Side)²

                            = (754)²

                            = 568516 square feet

Volume of the pyramid = \frac{1}{3}(\text{Area of the base})(\text{Height})

                                       = \frac{1}{3}\times 568516\times 481

                                       = 91152065.3 cubic feet

After erosion,

Area of the base = (745)² = 555025 square feet

Volume of the pyramid = \frac{1}{3}(555025)(471)

                                       = 87138925 cubic feet

Difference between the original and current volumes of the pyramid

= 91152065.30 - 87138925

= 4013140.30 cubic feet

5 0
3 years ago
If PQR ~ UTV, find the value of x.
user100 [1]

The value of x is 15.

Solution:

Given ΔPQR \sim ΔUTV.

<em>If two triangles are similar, then the corresponding parts are congruent.</em>

$\Rightarrow \frac{PR}{UV} =\frac{RQ}{VT}

$\Rightarrow \frac{14}{x + 6} =\frac{8}{x -3}

Do cross multiplication, we get

⇒ 14(x - 3) = 8(x + 6)

⇒ 14x - 42 = 8x + 48

Add 42 on both sides.

⇒ 14x = 8x + 90

Subtract 8x on both sides.

⇒ 6x = 90

Divide by 6 on both sides.

⇒ x = 15

The value of x is 15.

5 0
3 years ago
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