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ololo11 [35]
3 years ago
11

The Burke family is taking a 3-week vacation to Alaska. How many days will their vacation last?

Mathematics
1 answer:
ozzi3 years ago
6 0
The answer is 21 days
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Please answer ASAP (Will mark brainliest!!!) :Which of the following ordered pairs represents the x-intercept of the equation y
andreyandreev [35.5K]
To get the x-intercept you put y=0

0=2x-8

2x=8 , x=4

the point is (4,0)
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He dimensions are tripled. The new surface area would be times larger than the original surface area.
ddd [48]

Answer:

The new surface area would be 9 times larger than the original surface area.

Step-by-step explanation:

Here we do not know what was the original shape, but we will see that it does not matter.

Let's start with a square of side length L.

The original area of this square will be:

A = L^2

Now if each dimension is tripled, then all the sides of the square now will be equal to 3*L

Then the new area of the square is:

A' = (3*L)^2 = (3*L)*(3*L) = 9*L^2 = 9*A

So the new surface area is 9 times the original one.

Now, if the figure was a circle instead of a square?

For a circle of radius R, the area is:

A = pi*R^2

where pi = 3.14

Now if the dimensions of the circle are tripled, the new radius will be 3*R

Then the new area of the circle is:

A' = pi*(3*R)^2 = pi*9*R^2 = 9*(pi*R^2) = 9*A

Again, the new area is 9 times the original one.

If the figure is a triangle?

We know that for a triangle of base B and height H, the area is:

A = B*H/2

If we triple each measure, we will have a base 3*B and a height 3*H

Then the new area is:

A' = (3*B)*(3*H)/2 = (3*3)*(B*H/2) = 9*(B*H/2) = 9*A

Again, the new area is 9 times the original area.

So we can conclude that for any shape, the new area will be 9 times the original area.

3 0
3 years ago
I need help can you help me?
UNO [17]
The remaining 2 debts have to add up to a cetain number which I represent as x.
476.25 - 93.22 - x = 0
x = 383.03
The correct two debts should add up to -383.03.
Therefore the answer is B. -66.72 and -316.31
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3 years ago
Consider 7 times the ten to the third power write a pattern to find the value of the expression
Gala2k [10]
7 times 7 times 7 times 7 times 7 times 7 times 7 times 7 times 7 times 7

5 0
3 years ago
Military radar and missile detection systems are designed to warn a coutry of an enemy attack. Assume that a particular detectio
Tom [10]

Answer:

0.96 = 96% probability that at least one of them detect an enemy attack.

Step-by-step explanation:

For each radar, there are only two possible outcomes. Either it detects the attack, or it does not. The missiles are operated independently, which means that 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.

Assume that a particular detection system has a 0.80 probability of detecting a missile attack.

This means that p = 0.8

If two military radars are installed in two different areas and they operate independently, the probability that at least one of them detect an enemy attack is

This is P(X \geq 1) when n = 2. So

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{2,0}.(0.8)^{0}.(0.2)^{2} = 0.04

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.04 = 0.96

0.96 = 96% probability that at least one of them detect an enemy attack.

6 0
3 years ago
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