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3 years ago

Question is 20 points

Mathematics

2 answers:

Tom [10]3 years ago

8 0

Answer:

the answer is c

Step-by-step explanation:

guajiro [1.7K]3 years ago

3 0

The answer is the third one

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Five more than n is equal to 9

dedylja [7]

n+5=9 is the answer for this

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4 years ago

What is the sum of the first 200 natural numbers?

kow [346]

The sum of the first natural numbers is 20100

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3 years ago

Leah is buying curtains for her bedroom window. She wants the certains to hang from the top of the window to the floor. The wind

scoray [572]

Because the window is 4 feet and you need it to cover the window and the floor, you could start with the window. 4 feet at 12 inches per foot is 48 inches already. Then you would add the distance between the window and the floor, 21/2 feet is 10.5 feet. 10.5 * 12 inches is 126 inches. 126+48=174. You need 174 inches. See my pic

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3 years ago

Solve the problem. Find the surface area of a right regular hexagonal pyramid with sides 2 cm and slant height 5 cm. Round youra

BabaBlast [244]

Answer:

The surface area of the right regular hexagonal pyramid is 50.78 cm².

Step-by-step explanation:

Given:

A right regular hexagonal pyramid with sides(s) 2 cm and slant height(h) 5 cm.

Now, to find the surface area(SA) of the right regular hexagonal pyramid.

So, we find the area of the base(b) first:

Area of the base = $\sqrt[3]{3}\times s^{2}$

= $\sqrt[3]{3}\times 2^{2}$

On solving we get:

Area of the base(b) = $20.784$

Then, we find the perimeter(p) :

Perimeter = s × 6

$p=2\times 6=12$

Now, putting the formula for getting the surface area:

Surface area = perimeter × height/2 + Area of the base.

$SA=\frac{p\times h}{2}+b$

$SA=\frac{12\times 5}{2}+20.784$

$SA=30+20.784$

$SA=50.784$

As, <em>the surface area is 50.784 and rounding to nearest hundredth becomes 50.78 because in hundredth place it is 8 and in thousandth place it is 4 so rounding to it become 50.78.</em>

Therefore, the surface area of the right regular hexagonal pyramid is 50.78 cm².

5 0

3 years ago

A TV show, Lindsay and Tobias, recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to that show. A

kati45 [8]

Answer:

8.6% probability that none of the households are tuned to Lindsay and Tobias.

There is a 91.4% probability that at least one household is tuned to Lindsay and Tobias.

There is a 32.2% probability that at most one household is tuned to Lindsay and Tobias.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are watching the TV show, or they are not. This means that we use the binomial probability distribution to solve this problem.

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 combinatios 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.

In this problem we have that:

$n = 11, p = 0.20$

Find the probability that none of the households are tuned to Lindsay and Tobias.

This is P(X = 0).

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

$P(X = 0) = C_{11,0}.(0.20)^{0}.(0.80)^{11} = 0.086$

8.6% probability that none of the households are tuned to Lindsay and Tobias.

Find the probability that at least one household is tuned to Lindsay and Tobias.

Either no household is tuned, or at least one is tuned. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.086 = 0.914$

There is a 91.4% probability that at least one household is tuned to Lindsay and Tobias.

Find the probability that at most one household is tuned to Lindsay and Tobias.

This is

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

$P(X = 1) = C_{11,1}.(0.20)^{1}.(0.80)^{10} = 0.236$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.086 + 0.236 = 0.322$

There is a 32.2% probability that at most one household is tuned to Lindsay and Tobias.

8 0

3 years ago