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3 years ago

Find the surface area of this triangular prism.

Mathematics

1 answer:

mylen [45]3 years ago

6 0

Answer:

960m²

Step-by-step explanation:

½(12)(8)

=48

48×20

=960m²

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Check whether (0, -2) is solution of the equation x - 2y = 4 or not.

Elan Coil [88]

Answer: Yes, it is a solution

===================================================

Explanation:

Any ordered pair, aka point, is of the form (x,y)

x is always listed first

The point (0,-2) means x = 0 and y = -2 pair up together

Let's plug them into the equation and simplify everything

x-2y = 4

0-2(-2) = 4

0+4 = 4

4 = 4

We end up with a true statement since we get the same thing on both sides, therefore the original equation is true for (x,y) = (0,-2)

(0,-2) is a solution to the given equation

Phrased another way: the point (0,-2) is on the line x-2y = 4. This point is the y intercept.

6 0

3 years ago

Two inches are cut off one side of a square board and three inches are added to an adjacent side. The resulting rectangle has a

devlian [24]

Answer: 53

Step-by-step explanation:

The original square had a dimension of x and x was reduced by 2 which means x-2 and 3 was added so the formula will be x-2+3=54 and to work that out you have to do it backwards.

54-3=51

51+2=53

So the original dimension was 53inches

8 0

3 years ago

6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<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.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

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

Then:

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

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

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

6 0

2 years ago

Write the polynomial in standard form.

andriy [413]

B if I'm not mistaking
if I'm wrong I apologize

5 0

4 years ago

Someone pleaseee helpp with My Math I will Mark BrainliestHelen went with her mother to a fabric Sale. on the sale table, fabric

kompoz [17]

The answer is B I’m pretty sure

4 0

3 years ago

Read 2 more answers