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murzikaleks [220]
2 years ago
12

One card from a deck of cards Is selected, it's is replaced, and another card is chosen. What is the probability that the first

card is a red card and the second is a diamond
Mathematics
1 answer:
Elis [28]2 years ago
6 0

Answer:

1/ 8

Step-by-step explanation:

Given that:

Number of red cards in deck = 26

Number of diamonds in deck = 13

Number of cards in deck = 52

Recall :

Probability = required outcome / Total possible outcomes

Probability of choosing a red :

P(red) = 26 / 52 = 1/2

With replacement :

Probability of diamond :

P(diamond) = 13 / 52 = 1/4

Hence,

Probability of first card red, then second card diamond equals

P(red) * P(diamond)

1/2 * 1/4

= 1/8

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G(x)=-x^2-1-2x<br> f(x)= x+5<br> Find (g-f)(x)
sertanlavr [38]
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4 0
3 years ago
Hannah walked 3/4 of the way from school to her home. A.What fractional part of the distance does she have left to walk? b.The r
natita [175]

Answer: A. 1/4 left

Step-by-step explanation:

7 0
3 years ago
Determine if events A and B are independent.
trapecia [35]

Answer:

B) Independent

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

P(A \cap B) = P(A) \times P(B)

In this question:

P(A \cap B) = \frac{63}{200}

P(A) \times P(B) = \frac{9}{20}*\frac{7}{10} = \frac{9*7}{20*10} = \frac{63}{200}

Since P(A \cap B) = P(A) \times P(B), these events are independent.

6 0
3 years ago
three brother spent different amount of money on their recent vacation. matt spent $25 less than todd. jeff spent 3 times as muc
mihalych1998 [28]
We can have different variables to represent each brother (there can be different variations and ways to solve, but I'll do it my way).

Matt=m
Jeff=3m
Todd=m+25

Matt                                  Jeff                   Todd
m+3m+(m+25)=275         3(50)                 50+25
             5m+25=275         =150                 =75
                   5m=250
                     m=50

Matt spent $50, Jeff spent $150 and Todd spent $75

Check:
50+150+75
=$225
5 0
3 years ago
HelP MeEe
omeli [17]

Answer:

f(x) = 4(1.02)^(7x); spreads at a rate of approximately 2% daily

Step-by-step explanation:

The weekly number of people infected is:

f(x) = 4(1.15)^x

So the daily number of people infected is:

f(x) = 4(1+r)^(7x)

To find the value of the daily rate r, we set this equal to the first equation.

4(1.15)^x = 4(1+r)^(7x)

(1.15)^x = (1+r)^(7x)

(1.15)^x = ((1+r)^7)^x

1.15 = (1+r)^7

1.02 = 1+r

r = 0.02

So the equation is f(x) = 4(1.02)^(7x), and the daily rate is approximately 2%.

3 0
3 years ago
Read 2 more answers
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