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S_A_V [24]
2 years ago
6

Jim, Katrina, Larry, and Jim have all been invited to a dinner party. They arrive randomly and each person arrives at a differen

t time.
a. In how many ways can they​ arrive?
b. In how many ways can Jim arrive first and Kim ​last?
c. Find the probability that Jim will arrive first and Kim last.

a.___ (Type an integer)
b.___ (Type an integer.)
c.___ (Type a fraction. Simplify your answer)
Mathematics
2 answers:
tino4ka555 [31]2 years ago
7 0

Answer:

24

6

1/12

Step-by-step explanation:

a) This is a counting problem 4*3*2*1 = 24 different ways.

b) 1 * 2 * 1 * 1   = 2 ways

This is one you should try.

Jim Kat Larry Kim

Jim Larry Kat Kim

You can't get another way.

c)

There are 2 ways that Jim can arrive first and Kim Last shown in b

2/24 = 1/12

DaniilM [7]2 years ago
3 0

Answer:

i) 4!=24

ii) 2 ways

iii) 2/24=1/12

Answered by gauthmath.

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Jeannie is an experienced business traveler, often traveling back and forth from San Francisco to the East Coast several times p
lesya692 [45]

Answer:

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Jeannie should leave her office 55 minutes early.

Step-by-step explanation:

Let <em>X</em> = time it requires Jeannie to catch her plane.

The random variable <em>X</em> is normally distributed, N(46, 5).

Compute the probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour as follows:

P(X>60)=P(\frac{X-\mu}{\sigma} >\frac{60-46}{5} )\\=P(Z>2.8)\\=1-P(Z

The probability that Jeannie will miss her flight because her total time for catching her plane exceeds one hour is 0.0026.

Now, it is provided that Jeannie has 96% chance of catching her flight if she reaches under <em>x</em> minutes.

That is, P (X < x) = 0.96.

Compute the value of <em>x</em> as follows:

P(X

**Use the <em>z</em>-table to compute the value of <em>z</em>.

The value of <em>z</em> is 1.751.

Compute the value of <em>x</em> as follows:

z=\frac{x-46}{5}\\ 1.751=\frac{x-46}{5}\\x=46+(1.751\times5)\\=54.755\\\approx 55

Thus, Jeannie should leave her office 55 minutes early.

4 0
3 years ago
Find the length of UC on the attached diagram. Thank you!
ValentinkaMS [17]
<h2>Answer </h2>

The length of UC is 18

<h2>Explanation </h2>

First we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.

We can infer from our picture that JN is 82 + 105, so JN = 187

We can also infer that JU = JH + HU

                                     JU = 22 + 96

                                     JU = 118

We can also infer that CN = 51

Now we can fin the length of UC:

UC=JN-(JU+CN)

UC=187-(118+51)

UC=18

We can conclude that the length of UC is 18.

3 0
3 years ago
Read 2 more answers
A milligram is what fraction of a kilogram
pishuonlain [190]
The answer is 1/1000000
4 0
3 years ago
Worth a lot of points! please help and explain your answer tysm
Arte-miy333 [17]

Answer:

option c is incorrect

because the value of tan B will be perpendicular/base

so tan B=5/12.

mark me brainlist

6 0
3 years ago
Round 593,204 to the nearest million
GenaCL600 [577]
1,000,000 If the number is 5-9 (in this case, the one in the hundred-thousands place), you round up. If lower, then round down
6 0
2 years ago
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