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4 years ago

What is the surface area of this square pyramid?

Mathematics

1 answer:

Viefleur [7K]4 years ago

3 0

base = 3*3 = 9 sq. in.

side = 1/2 *3*6 = 9 sq. in.

4 sides x 9 = 36 + 9 (base) = 45 in^2

Answer is A

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Evaluate show the solution of 14C6 and 15C4

ICE Princess25 [194]

Answer:

Evaluate each expression for a = 4, b = 2, and c = 5.

c − a

8 0

3 years ago

A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32

vovangra [49]

The number of days for both Companies to have the same total amount is

6.4 days

<h3>Word Problem leading to Algebraic expression</h3>

Given Data

Let the total payment be y

Let the number of days be x

Company A

Charges per day = $57

Flat fee = $32

y = 57x+ 32 -----------------1

Company B

Charges per day = $62

Flat fee = $0

y = 62x + 0-----------------2

Equating 1 and 2 we have

57x+ 32 = 62x+ 0

Solving for x we have

62x-57x = 32

5x = 32

Divide both sides by 5

x = 32/5

x = 6.4 days

Learn more about word problem here:

brainly.com/question/13818690

5 0

3 years ago

Evaluate.<br><br> 15 + 102 • [12 – (12 – 3 • 2)] + 6

mylen [45]

Answer:

633

Step-by-step explanation:

We have the equation

$15+102[12-(12-3*2)]+6\\\\15+102[12-(12-6)]+6\\\\15+102[12-(6)]+6\\\\15+102[6]+6\\\\15+612+6\\\\633$

3 0

4 years ago

Read 2 more answers

I'll give you brainlies if you help me on this!

ryzh [129]

Answer:

5/4 ounces.

Step-by-step explanation:

There are 4 marks. So 1/4 is the smallest one. There are 5 of them. 5x1/4 is 5/4 or 1 1/4

3 0

2 years ago

Read 2 more answers

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper

Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that $p = 0.3$

14 of these containers of paper.

This means that $n = 14$

What is the probability that John finds less than 7 golden sheets of paper?

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068$

$P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407$

$P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134$

$P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943$

$P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290$

$P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963$

$P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067$

90.67% probability that John finds less than 7 golden sheets of paper

7 0

3 years ago