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Maslowich
3 years ago
12

Find the smallest value of n such that the LCM of n and 15 is 45

Mathematics
2 answers:
krek1111 [17]3 years ago
6 0

Answer:45


Step-by-step explanation:

9 and 15 both go into 45, and 45 is the LCM of those numbers.

Sophie [7]3 years ago
6 0

Answer:

Just here for points XD.

Step-by-step explanation:

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What is the answer to r - 4.5 < 11
Cloud [144]
R - 4.5 < 11
—
r would be 15.5
[ r = 15.5 ]
5 0
2 years ago
Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities. Round the answers to 4 dec
o-na [289]

Answer:

(a) The probability of the event (<em>X</em> > 84) is 0.007.

(b) The probability of the event (<em>X</em> < 64) is 0.483.

Step-by-step explanation:

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 64.

The probability mass function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0, 1, 2, ...

(a)

Compute the probability of the event (<em>X</em> > 84) as follows:

P (X > 84) = 1 - P (X ≤ 84)

                =1-\sum _{x=0}^{x=84}\frac{e^{-64}(64)^{x}}{x!}\\=1-[e^{-64}\sum _{x=0}^{x=84}\frac{(64)^{x}}{x!}]\\=1-[e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{84}}{84!}]]\\=1-0.99308\\=0.00692\\\approx0.007

Thus, the probability of the event (<em>X</em> > 84) is 0.007.

(b)

Compute the probability of the event (<em>X</em> < 64) as follows:

P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)

                =\sum _{x=0}^{x=63}\frac{e^{-64}(64)^{x}}{x!}\\=e^{-64}\sum _{x=0}^{x=63}\frac{(64)^{x}}{x!}\\=e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{63}}{63!}]\\=0.48338\\\approx0.483

Thus, the probability of the event (<em>X</em> < 64) is 0.483.

5 0
3 years ago
1. Nasir borrowed $420 for six months with $77 monthly payments.
scoundrel [369]

Answer: 52 and 793.25

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
F(x)=-3x-5 and g(x) =4x-2 find (f-g)(x)
Triss [41]
<span>F(x)=-3x-5 and g(x) =4x-2 find (f-g)(x)

</span>(f-g)(x) = -3x-5 - (4x-2)
(f-g)(x) = -3x -5 -4x + 2
(f-g)(x) = -7x -3

hope that helps
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There are 25 students in my class and I have to arrange the desks in rows. I want to be sure the rows are even so there will be
jasenka [17]

Answer:

5 desks and 5 rows.

Step-by-step explanation:

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