There were 12 cookies on plates. Think of all the possible ways to divide the 12 cookies evenly between playes

2. A(an) ______________of a prism is a perpendicular segment that joins the planes of the bases. (The height h is the length of

tiny-mole [99]

Answer:

A(an) altitude of a prism is a perpendicular segment that joins the planes of the bases. (The height h is the length of one.)

Step-by-step explanation:

AN ALTITUDE - An altitude of a triangle is a line segment that passes through a vertex and is perpendicular to (i.e. forms a right angle with) the base line (the side opposite the vertex). The expanded base of the altitude is the line that contains the opposing side. The foot of the altitude is the point where the extended base meets the altitude. The area of a triangle can be calculated using altitudes: one half of the product of an altitude's length and its base's length equals the triangle's area. As a result, the longest altitude is perpendicular to the triangle's shortest side. Through trigonometric functions, the heights are also connected to the triangle's sides.

Hence , the answer is an altitude .

6 0

2 years ago

At a private school, each first-year student is sorted into one of four houses. If 3 students are randomly selected from 11 av

Elis [28]

$\frac{3}{11}$

8 0

3 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

Lubov Fominskaja [6]

Answer:

P(X ≤ 3) = 0.9933.

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success

Also, given n = 5, p =0.2.

The above situation can be represented through binomial distribution;

$P(X = r)= \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x = 0,1,2,3,.........$

where, n = number of samples (trials) taken = 5

r = number of success = less than equal to 3

p = probability of success which in our question is 0.20.

Let X = A random variable

So, X ~ Binom(n = 5, p = 0.20)

Now, the probability that X is less than and equal to 3 is given by = P(X ≤ 3)

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= $\binom{5}{0} \times 0.20^{0} \times (1-0.20)^{5-0}+\binom{5}{1} \times 0.20^{1} \times (1-0.20)^{5-1}+\binom{5}{2} \times 0.20^{2} \times (1-0.20)^{5-2}+\binom{5}{3} \times 0.20^{3} \times (1-0.20)^{5-3}$

= $1 \times 1 \times 0.80^{5}+5 \times 0.20^{1} \times 0.80^{4}+10 \times 0.20^{2} \times 0.80^{3}+10 \times 0.20^{3} \times 0.80^{2}$

= 0.9933

4 0

3 years ago

6.3r < -45.36 which graph shows the correct soultion

skelet666 [1.2K]

6.3 r < -45.36

Here first we have to solve for r and for that we need to get rid of 6.3 .

To get rid of 6.3, we divide both sides by 6.3 that is

r < -7.2

So the solution is all the values which are less then -7.2

And for graph, we put a blank circle or a parenthesis that is () on -7.2 and extend a line to the left side since the inequality is less then .

4 0

3 years ago

What is nine? Huhhhhhhhhhhh?

grigory [225]

Step-by-step explanation: The base of the power in the original equation becomes the base of the log. So we have $^{log}3$ .

Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.

So we have $^{log} 3$ $9 = 2$ which is 3² = 9 written in logarithmic form.

This can also be switched around to read $2 = ^{log} 3 = 9$ .

So the first choice will be your answer.

My work is also show in the image attached,

I just didn't switch it.

7 0

3 years ago

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