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3 years ago

Fiona found 47 pens for $3. Please help Fiona by figuring out the ratio. (round to 2 decimal places)

Mathematics

2 answers:

Lady_Fox [76]3 years ago

4 0

B i think hope this helps

Shtirlitz [24]3 years ago

3 0

Your equation is 47/3=X
X is the ratio of dollars to pen.
When calculated you get 15.67 per pen.
Your answer is B.

Hope this helps!

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For i≥1 , let Xi∼G1/2 be distributed Geometrically with parameter 1/2 . Define Yn=1n−−√∑i=1n(Xi−2) Approximate P(−1≤Yn≤2) with l

murzikaleks [220]

Answer:

The answer is "0.68".

Step-by-step explanation:

Given value:

$X_i \sim \frac{G_1}{2}$

$E(X_i)=2 \\$

$Var (X_i)= \frac{1- \frac{1}{2}}{(\frac{1}{2})^2}\\$

$= \frac{ \frac{2-1}{2}}{\frac{1}{4}}\\\\= \frac{ \frac{1}{2}}{\frac{1}{4}}\\\\= \frac{1}{2} \times \frac{4}{1}\\\\= \frac{4}{2}\\\\=2$

Now we calculate the $\bar X \sim N(2, \sqrt{\frac{2}{n}})\\$

$\to \frac{\bar X - 2}{\sqrt{\frac{2}{n}}} \sim N(0, 1)\\$

$\to \sum^n_{i=1} \frac{X_i - 2}{n} \times\sqrt{\frac{n}{2}}} \sim N(0, 1)\\\\\to \sum^n_{i=1} \frac{X_i - 2}{\sqrt{2n}} \sim N(0, 1)\\$

$\to Z_n = \frac{1}{\sqrt{n}} \sum^n_{i=1} (X_i -2) \sim N(0, 2)\\$

$\to P(-1 \leq X_n \leq 2) = P(Z_n \leq Z) -P(Z_n \leq -1) \\\\$

$= 0.92 -0.24\\\\= 0.68$

6 0

3 years ago

PLS HELP

DochEvi [55]

Answer:

10.5

Step-by-step explanation:

v=158

l×w×h =158

l×5×3=158

l×15=158

L =158÷15=10.5

8 0

2 years ago

Question Help A manufacturer ships toasters in cartons of 1010. In each carton, they estimate a 1010% chance that any one of t

natta225 [31]

Answer:

The probability that there will be repair exactly 3 toaster is 0.0574.

Step-by-step explanation:

Binomial Distribution:

A discrete random variable X having the set {0,1,2,3......,n} as the spectrum, is said have a binomial distribution with parameter n= number of trials and p=probability of number of success on an individual trial, if the p.m.f (probability mass function) of X given by,

$P(X=x)=C(n,x)p^x(1-p)^{n-x}$ x=0,1,2,......,n

=0 elsewhere

where 0<p<1 and n is a positive integer.

Total number of toaster in cartons(n) = 10.

Probability of number of success on an individual trial p= 10% = 0.10

$\therefore P(X=3)= C(10,3)(0.10)^3(1-0.10)^{10-3}$

$=\frac{10!}{3!(10-3)!}(0.10)^3)(0.90)^7$

=0.0574

The probability that there will be repair exactly 3 toaster is 0.0574.

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3 years ago

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