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19 days ago

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Carmen is going to roll an 8-sided die 200 times. She predicts that she will roll a multiple of 4 twenty-five times. Based on th

e theoretical probability, which best describes Carmen’s prediction?
Carmen’s prediction is exact because 200 times 1/8 is 25.

Carmen’s prediction is low because 200 times 1/4 is 50.

Carmen’s prediction is low because 200 divided by 2 is 100.

Carmen’s prediction is high because200 divided by 25 is 8.

2 answers:

AnnZ [9K]19 days ago

4 0

Answer:

Carmen's estimate is too low, since rolling 200 times $\frac{1}{4}$ results in a total of 50.

Step-by-step explanation:

Initially, we will define the sample space for this scenario.

The sample space is Ω = {1,2,3,4,5,6,7,8}

For the event A: "Rolling an 8-sided die to get a multiple of 4"

The probability for event A is $P(A)=\frac{2}{8}=\frac{1}{4}$

This is because there are two multiples of 4 (4 and 8) out of a total of eight numbers (1 through 8).

Next, considering the random variable X: "Total count of multiples of 4 if she rolls an 8-sided die 200 times"

X can be described as following a Binomial distribution.

X ~ Bi (n,p)

X ~ Bi (200, $\frac{1}{4}$ )

Where n is the number of rolls and p is the probability of success, defined as rolling a multiple of 4.

The mean for this variable is

$E(X)=np=200.\frac{1}{4}=50$

Thus, we conclude that Carmen's prediction is low, as rolling 200 times $\frac{1}{4}$ yields 50.

Zina [9.1K]19 days ago

3 0

Carmen’s estimate is low since 200 times 1/4 equals 50.

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9 days ago

Question: Sara started her homework at 5:30 p.M. And finished it at 9:15 p.M. How much time did she take to finish her homework?

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Explicación detallada:

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14 days ago

Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer) between a "worker" com

Inessa [9000]

Answer:

a. Alpha equals 3.014 while beta equals 12.442

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c. The chance that data transfer time falls between 50 and 75 ms is 0.176

Step-by-step explanation:

a. Given the data, the mean and standard deviation for the random variable X are 37.5 ms and 21.6, respectively.

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To find alpha, we need to apply the formula:

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alpha=(37.5)∧2/21.6∧2

alpha=1,406.25 /466.56

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To determine beta, the following formula is employed:

β= V(X) ∧2/E(X)

β=(21.6) ∧2/37.5

β=466.56 /37.5

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P(X>50)=1−P(X≤50)

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The chance of data transfer time exceeding 50ms is 0.238

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To find the probability that data transfer time is between 50 and 75 ms, we apply the formula:

P(50<X<75)=P(X<75)−P(X<50)

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=0.176

The probability that data transfer time falls between 50 and 75 ms is 0.176

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12 days ago

A baseball is thrown up in the air. The table shows the heights y (in feet) of the baseball after x seconds.

lawyer [9240]

Answer:

Alright, we can express the baseball's motion with an equation like:

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Here, x denotes time, while h(x) indicates height.

Let’s construct this:

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a(t) = a

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Where v0 signifies the initial vertical velocity.

Subsequently, we can determine position or height by integrating once more:

h(x) = a*x^2 + v0*x + h0

Here, h0 is the initial height.

<pthus our="" equation="" is:="">

h(x) = a*x^2 + v0*x + h0.

<pexamining the="" table:="">

When x = 0s, h(0s) = 6ft

<pthus:>

h(0s) = a*0s^2 + v0*0s + h0 = 6ft

h0 = 6ft.

It’s also noted that:

h(2s) = h(4s)

<pthe symmetry="" of="" the="" quadratic="" function="" implies="" that="" axis="" lies="" between="" and="" located="" at="" x="3s.</p"><pin a="" standard="" quadratic="" function:="">

a*x^2 + b*x + c

The symmetry line is given by:

x = -b/2a

<pin this="" instance:="">

b = v0

a = a

<ptherefore we="" derive:="">

3s = -v0/(2*a)

v0 = -3s*(2a)

<phaving gathered="" all="" necessary="" data="" for="" our="" equation="" we="" can="" express="" it="" as:="">

h(x) = a*x^2 - 6s*a*x + 6ft

<pnext focusing="" on="" just="" one="" variable="" we="" know="" that="" at="" x="2s," h=""><pso:>

h(2s) = 22ft = a*(2s)^2 - 6s*a*2s + 6ft

<pthus our="" resulting="" equation="" reads:="">

h(x) = (-2ft/s^2)*x^2 + (12ft/s)*x + 6ft

b) The height after 5 seconds is expressed as:

h(5s) = (-2ft/s^2)*(5s)^2 + (12ft/s)*5s + 6ft = 16ft

</pthus></p></pso:></pnext></phaving></ptherefore></pin></pin></pthe></pthus:></pexamining></pthus>

7 0

1 month ago

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AnnZ [9099]

Answer:

a) The outlier is the point located at the bottom right of the graph

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Step-by-step explanation:

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4 0

1 month ago