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3 years ago

4,6,7,8 and 9 are composite numbers.

Mathematics

2 answers:

Monica [59]3 years ago

7 0

Answer:

SANA HINDI KA PA MAMATAY! SANA HINDI KA MAPUNTA SA IMPYERNO! GODBLESSSSS!

#EPALKA

Diano4ka-milaya [45]3 years ago

6 0

Answer:

False

Step-by-step explanation:

7 is a Prime Number because its factors are 7 and 1.

4, 6 and 9 have more than 2 Factors; therefore, they are composite.

Hope it helps!

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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

The dimensions of a square Wendy’s hamburger are length and width 4 in. and thickness 3/16 of an inch. The dimensions of a McDon

emmainna [20.7K]

Answer:

McDonald’s hamburger has a greater volume, compared to Wendy’s hamburger.

McDonald’s hamburger is 0.5 cubic Inch bigger.

Step-by-step explanation:

Volume of square burger = 4 * 4 * 3/16 = 3 cubic Inch

Area of the circular hamburger:

pi * diameter

Volume of the circular hamburger =

pi * diameter * thickness

pi * 4.5 * 1/4 = 3.53429173528852 cubic Inch

rounded answer is 3.5 cubic

McDonald’s circular hamburger has a greater volume, compared to Wendy’s hamburger, a bit more then 0.5 cubic Inch bigger.

3 0

3 years ago

4,6,7,8 and 9 are composite numbers.​

4,6,7,8 and 9 are composite numbers.