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3 years ago

find the value of y for a given value of x if y varies direclty with x if y= -252 when x= 84 what is y when x=74

1 answer:

4 0

If it's directly related, it would be y = x + b.
Given coordinates (84, -252)
-252 = 84 + b
b = -252 - 84 = -336
y = x - 336
y = 74 - 336 = -262

Hope this helps, and whoever wrote this problem seriously needs to reconsider their grammar and usage of "with" and "when" and "but" in the right context, it just seems more confusing and misused.

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In what order should you perform the operations in the expression 4×3−12÷2+5?

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Give the numerical value of the parameter p in the following binomial distribution scenarioA softball pitcher has a 0.721 probab

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Answer:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)$

$P(X=16)=(19C16)(0.721)^{16} (1-0.721)^{19-16}=0.112$

$P(X=17)=(19C17)(0.721)^{17} (1-0.721)^{19-17}=0.051$

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And replacing we got:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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:

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

Solution to the problem

For this case our random variable is given by:

$X \sim Binom(n = 19, p = 0.721)$

For this case we want this probability:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)$

$P(X=16)=(19C16)(0.721)^{16} (1-0.721)^{19-16}=0.112$

$P(X=17)=(19C17)(0.721)^{17} (1-0.721)^{19-17}=0.051$

$P(X=18)=(19C18)(0.721)^{18} (1-0.721)^{19-18}=0.015$

$P(X=19)=(19C19)(0.721)^{19} (1-0.721)^{19-19}=0.002$

And replacing we got:

$P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801$

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

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3 years ago

The volume of a cone is 36 min 3. What is the volume of a cylinder with the same base and height as the cone?

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Answer: LAST OPTION

Step-by-step explanation:

The formula for calculate the volume of a cone is:

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Where r is the radius and h is the height.

The formula for calculate the volume of a cylinder is:

$V_{cy}=r^2h\pi$

Where r is the radius and h is the height.

As you can see, the difference between the the formulas is that <em>r²hπ</em> of the cone is divided by 3. Therefore, if you know the volume of the cone and you know that cylinder has the same base and height as the cone, you have to multiply the volume of the cone by 3.

Therefore, the result is:

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