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Vesna [10]
3 years ago
10

What is the surface area of the sphere below?

Mathematics
2 answers:
evablogger [386]3 years ago
8 0

Answer:

area of sphere=5πr³=5×π×5²=125πunit²

trasher [3.6K]3 years ago
5 0
The answer is c I’m pretty sure
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-22-(6)(-9)/3

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2 years ago
A survey showed that 79​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 14 adults are
Alexxandr [17]

Answer:

P(X \leq 1) = P(X=0) +P(X=1)

And if we find the indidivual probabilities we got:

P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}  

P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}

And replacing we got:

P(X \leq 1) = 1.74x10^{-8}

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!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Solution to the problem

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

X \sim Binom(n=14, p=0.79)  

For the first part we want this probability:

P(X \leq 1) = P(X=0) +P(X=1)

And if we find the indidivual probabilities we got:

P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}  

P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}

And replacing we got:

P(X \leq 1) = 1.74x10^{-8}

4 0
3 years ago
A circle has a circumference of 50.2450.24 units. What is the radius of the circle?
Roman55 [17]

The formula for circumference is 2 x PI x r

Using the circumference we can find the radius:

50.24 = 2 x PI x r

Multiply 2 by PI:

2 x 3.14 = 6.28

50.24 = 6.28 x r

Divide both sides by 6.28:

R = 50.24 / 6.28

R = 8

The radius is 8 units.

8 0
3 years ago
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