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Citrus2011 [14]
3 years ago
8

Margaret is playing a game with a standard deck of 52 cards which contains 4 jacks. The first player to select a jack gets to st

art the game. What is the theoretical probability that Margaret, when choosing first, will choose a jack?
Mathematics
2 answers:
vovikov84 [41]3 years ago
8 0
The answer would be 1/13
mixer [17]3 years ago
7 0

Answer:

1/13

Step-by-step explanation:

There are 4 jacks out of 52 cards.  Since Margaret goes first, she has the chance to get any of the 4 jacks out of all 52 cards; this makes her probability

4/52 which simplifies to 1/13.

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If the radius of a circle is 14 ft, then the diameter of the circle is _____.
miv72 [106K]

14 \times 2 = 28
its B.) 28ft
6 0
3 years ago
Read 2 more answers
Rabies is an often-fatal disease typically transmitted through the bite of an infected animal. The state of Florida has been rec
slega [8]

Answer:

a) 3.6

b) 1.897

c)0.0273

d) 0.9727

Step-by-step explanation:

Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.

a)

The mean of a Poisson random variable X is μ.

mean=E(X)=μ=3.6.

b)

The  standard deviation of a Poisson random variable X is √μ.

standard deviation=S.D(X)=√μ=√3.6=1.897.

c)

The probability for Poisson random variable X can be calculated as

P(X=x)=(e^-μ)(μ^x)/x!

where x=0,1,2,3,...

So,

P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!

P(no case of rabies)=P(X=0)=0.0273.

d)

P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)

P(at least one case of rabies)=1-0.0273=0.9727

8 0
3 years ago
How many solutions does the equation 4x + 2(x − 5) = 3(2x − 4) have? Group of answer choices infinitely many solutions no soluti
aleksandrvk [35]

Answer:

absolutley no solutions

Step-by-step explanation:

5 0
4 years ago
In the past, the average age of employees of a large corporation has been 40 years. Recently, the company has been hiring older
earnstyle [38]

Answer:

Step-by-step explanation:

In the past, mean of age of employees

i.e. \mu = 40

Recently sample was taken

n = sample size = 60

Mean of sample = 45

Std dev of sample s = 16

H_0: \bar x = 40\\H_a: \bar x >40

(Right tailed test)

Since only population std deviation is known we can use t test only

Std error = \frac{s}{\sqrt{n} } \\=\frac{16}{\sqrt{61} } \\=2.049

Mean difference = 45-40 =5

Test statistic t=\frac{5}{2.049} \\=2.441

df = 60

p value =0.008739

Since p < 0.05 we reject null hypothesis

The mean age has increased.

5 0
3 years ago
Find all numbers whose absolute value is 3 . If there is more than one, separate them with commas. If there are no such numbers,
adelina 88 [10]

Answer:

3, and -3

Step-by-step explanation:

Because absolute value is the distance away from zero, |3| and |-3| would both be 3 units away from 0. Be sure to have the negative on the inside if you're trying to make something positive, otherwise -|3| means that the absolute value of 3 would then become negative since the negative sign isn't a part of the absolute. hope this helps!

3 0
3 years ago
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