If f(x)=2x+1 and g(x)=x^2, find g(f(3)).

at a pizza party, 40% of the pizzas were pepperoni. if there were 6 pepperoni pizzas how many pizzas were there in all.

disa [49]

I think 10 tell me if I am wrong

7 0

3 years ago

Read 2 more answers

What is the value of x, if the area of ΔABC is 12√3 square cm.

lana [24]

Answer:

What is the value of x, if the area of ΔABC is 12√3 square cm ...

Step-by-step explanation:

maybe this link helps you

6 0

2 years ago

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

Sergio [31]

Using the binomial distribution, it is found that:

a) There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.

b) There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.

c) 9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

The values of the parameters are given as follows:

n = 18, p = 0.267.

Item a:

The probability is P(X = 6), hence:

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

$P(X = 6) = C_{18,6}.(0.267)^{6}.(0.733)^{12} = 0.1618$

There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.

Item b:

The probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Then:

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

$P(X = 0) = C_{18,0}.(0.267)^{0}.(0.733)^{18} = 0.0037$

$P(X = 1) = C_{18,1}.(0.267)^{1}.(0.733)^{17} = 0.0245$

$P(X = 2) = C_{18,2}.(0.267)^{2}.(0.733)^{16} = 0.0758$

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0037 + 0.0245 + 0.0758 = 0.104.

There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.

item c:

We have to look at the mean and the standard deviation, given, respectively, by:

E(X) = np = 18 x 0.267 = 4.81.

$\sqrt{V(X)} = \sqrt{18(0.267)(0.733)} = 1.88$

9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B5%7D%20x-5%5C%5Cy%3D-x-7" id="TexFormula1" title="y=-\frac{3}{5} x-5\\y=

oksian1 [2.3K]

Answer:

Step-by-step explanation:

7 0

2 years ago

The diameter of a cylindrical water tank is 12ft , and its height is 14ft . What is the volume of the tank?

Luda [366]

So the formula for finding the area of a cylinder is $2 \pi r^{2}+2 \pi rh$ . r=radius. If we put the numbers into the equation it is $2 \pi 6^{2}+2 \pi 6(14)$ We get 6 as the radius because half of 12 is 6. 6 squared is 36 and 6*14= 84. So our equation is now $2 \pi36+2 \pi84$ . 2*pi=6.28318530718 but let's round that to 6.283. So now our equation is much simpler 6.283(36)+6.283(84). Just multiply them. 226.188+527.772= 753.96 is your final answer.

7 0

3 years ago