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3 years ago

Evaluate each expression. Click on undefined as needed

Mathematics

1 answer:

Brums [2.3K]3 years ago

4 0

If the 0 is in the numerator, the value is 0
if the 0 is in the denominator, the value is undefined

so 0/8 = 0
and 3/0 = undefined

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Is the equation minumum or maximum

amid [387]

Answer:

Minimum

Step-by-step explanation:

A minimum occurs when the line goes from decreasing to increasing

8 0

2 years ago

Read 2 more answers

Jessica is a custodian at Oracle Arena. She waxes 20 m² of the floor in = of an hour. Jessica

Wewaii [24]

The complete question is as follows:

Jessica is a custodian at Oracle Arena. She waxes 20 $\mathbf{m^{2}}$ of the floor in $\mathbf{\frac{3}{5}}$ of and hour. At this rate, how many square meters can she wax per hour ?

Answer:

$\mathbf{\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}$

Step-by-step explanation:

$\textrm{rate}=\frac{\textrm{Area waxed in square meter}}{\textrm{Time taken to wax in hours}}$

$\textrm{rate}=\frac{20 \ \textrm{m}^{2}}{\frac{3}{5} \ \textrm{hours}}$

$\textrm{rate}=\frac{20\times5}{3}$

$\mathbf{rate=\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}$

8 0

3 years ago

In Mr. Smith's 7th Hour

tatiyna

binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22

(assuming children are independent and male and female are equally likely)

| probability

less than 16 boys | 0.9534

16 or less boys | 0.9827

more than 16 boys | 0.01734

16 or more boys | 0.04657

fraction of boys | 16/(16 + 7) ≈ 0.695652

fraction of girls | 7/(16 + 7) ≈ 0.304348

expected value | 11.5

standard deviation | 2.398

variance | 5.75

11.5

3 0

3 years ago

32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.32)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

Part b

$P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]$

$P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211$

$P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

Part c

$P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264$

$P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218$

$P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123$

$P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

6 0

3 years ago

An expert shot bits the target 95% of the time. What are the probabilities that he will miss the target: at least one time durin

Mkey [24]

If he hits the target 95% of the time, then you could say that he has a probability of 0.95, or 95% of hitting the target. Let p = the probability of hitting the target or p = 0.95. So you are interested that he misses the target at least once - this could be thought of as not getting a perfect score. So to get a perfect score, it is 0.95 for each target -- 0.95^15 for 15 targets is 0.464. Thus to miss at least one target he needs to NOT have a perfect score -- 1 - 0.464 = 0.536, or 53.6% of happening. Enjoy

3 0

3 years ago