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Delicious77 [7]
3 years ago
14

A restaurant can see 100 people it has booth that seat four people and tables that seat six people so far five of the booster fo

r what expression matches the situation
Mathematics
2 answers:
olganol [36]3 years ago
6 0
I don't understand. Could you perhaps be a little bit more clear?
AlladinOne [14]3 years ago
6 0
The expression is ..
4 x 6
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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
A rectangular garden is 44 feet longer than it is wide. it's perimeter is 328 feet. What s this equation?
Vadim26 [7]
Suppose width is X
then length would be X+44

perimeter of rectangle = 2 (length + width)
substitute:
328 = 2 ( X+44 + X )
328 = 2 ( 2X + 44 )
328 = 4X + 88
328 - 88 = 4X
240 = 4X
240/4 = X
X = 60

substitute in the first and second line
width is X so width = 60 feet
length is X + 44 = 60 + 44 = 104 feet
7 0
3 years ago
Y-3(2y-7)=76<br> i dont understand please help
Irina18 [472]
Y=-11
that’s your answer :))
6 0
3 years ago
Read 2 more answers
Consider the rectangle.
zaharov [31]

Answer:

\boxed{ \underline{ \underline { \bold{  \tt{4(x + 1) \: and \: 4x + 4}}}}}

☯\underline{ \underline{ \text{Question}}} :

☥ Which pair of expressions represents the area of the rectangle?

☐ 2(x + 1) + 2 (4) and 2x +9

☐ 2(x + 1) +2 (4) and 2x + 10

☐ 4(x + 1) and 4x + 1

☑ 4(x + 1) and 4x + 4

☪ \underline{ \text{Given :}}

  • Length of a rectangle ( L ) = 4
  • Breadth of a rectangle ( B ) = x + 1

☪ \underline{ \text{To \: Find} : }

  • Pair of expressions which represents the area of the given rectangle

☪ \underline{ \text{Solution}} :

❀ \underline{ \boxed{ \sf{Area \: of \: a \: rectangle = length \times breadth}}}

↦ \sf{4 \times (x + 1)}

↦ \boxed{ \sf{4(x + 1)}}

Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 = \boxed{ \sf{4x + 4}}.

Hence , the right answer is of last option { i.e  4 ( x + 1 ) and 4x + 4 } .

And we're done !

Hope I helped!!

♡ Have a wonderful day / night ツ

~ \text{TheAnimeGirl} ♪

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

4 0
3 years ago
Help math math math
lutik1710 [3]

Hello.

In order to convert this equation into slope intercept form, we need to divide the entire equation by 7:

\tt{8x-7y=13

\tt{\displaystyle\frac{8x}{7} -\frac{7y}{7}=\frac{13}{7}

Simplify:

\tt{\displaystyle\frac{8x}{7}-y=\frac{13}{7}

Add y to both sides:

\Large\boxed{\sf{y=\displaystyle\frac{8x}{7} -\frac{13}{7}}}

I hope it helps.

Have an outstanding day. :)

\boxed{imperturbability}

5 0
2 years ago
Read 2 more answers
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