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balandron [24]
3 years ago
8

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a spade fo

r the second card drawn, if the first card, drawn without replacement, was a heart? Express your answer as a fraction or a decimal number rounded to four decimal places
Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer: 0.5049

Step-by-step explanation:

The probability that the first card drawn is a heart is 13/52 = 1/4

The probability that the second card drawn, without replacement, is a spade is 13/51

So the probability of drawing a heart for the first card and spade for the second card is

1/4 + 13/51 = 103 / 204 = 0 5049

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Rectangle fence two sides will have lengths o 28 feet each and Ricky has 100 feet of fencing what is the greatest possible lengt
liraira [26]

Answer: 22

Step-by-step explanation: Perimeter of a rectangle is 2H + 2B = P

if each side has 28 feet then 28* 2 = 56. We take 100 - 56 = 44. Then we take 44/2 to find one remaining side = 22.

8 0
3 years ago
The expression 3xy-(2x+4xy) is equivalent to
Goryan [66]
There are no answer options so I will just simplify the expression:
3xy-(2x+4xy)
3xy-2x-4xy
-2x-xy
3 0
3 years ago
Eloise bought 12 grapefruits. Each grapefruit weighed 0.52 pound.
Virty [35]

Answer:

6.24 pounds

Step-by-step explanation:

12 x .52 = 6.24 pounds

4 0
2 years ago
Read 2 more answers
Megan has $15,000 to invest. She is considering two investment options. Option A pays 3.2% simple interest. Option B pays 4.1% i
True [87]

wheee



Compute each option


option A: simple interest


simple interest is easy

A=I+P

A=Final amount

I=interest

P=principal (amount initially put in)


and I=PRT

P=principal

R=rate in decimal

T=time in years


so given

P=15000

R=3.2% or 0.032 in deecimal form

T=10


A=I+P

A=PRT+P

A=(15000)(0.032)(10)+15000

A=4800+15000

A=19800

Simple interst pays $19,800 in 10 years




Option B: compound interest

for interest compounded yearly, the formula is

A=P(1+r)^t

where A=final amount

P=principal

r=rate in decimal form

t=time in years


given

P=15000

r=4.1% or 0.041

t=10


A=15000(1+0.041)^{10}

A=15000(1.041)^{10}

use your calculator

A=22418.0872024

so after 10 years, she will have $22,418.09 in the compounded interest account





in 10 years, the investment in the simple interest account will be worth $19,800 and the investment in the compounded interest account will be worth$22,418.09

4 0
3 years ago
Read 2 more answers
F(x)= 7.45x +33.7 at x=-4.3
weeeeeb [17]

To solve this function, all we need to do is substitute -4.3 in for wherever "x" appears and then simplify.

f(x) = 7.45x + 33.7; x = -4.3

f(-4.3) = 7.45(-4.3) + 33.7

f(-4.3) = -32.035 + 33.7

f(-4.3) = 1.665

This means that, when x = -4.3, f(x) = 1.665.

Note: It may help to remember that, in a function such as this, f(x) can be thought of as the "y" value that corresponds to the given "x" value (in fact, when writing it out with words, f(x) is the same as "function of x"). And, if you are given a value for f(x), then the opposite is true. Just substitute in the value given for f(x) and solve for x.

Hope this helps!

8 0
3 years ago
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