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2 years ago

Solve for all values of x by factoring. x^2-25= x 2 â’25= 0

Mathematics

1 answer:

lozanna [386]2 years ago

6 0

Answer:

x = ± 5

Step-by-step explanation:

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take square root of both sides )

x = ± $\sqrt{25}$ = ± 5

That is x = - 5, x = 5

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Find the angle of depression from the top of a lighthouse, 260 feet above water to a ship that's 270 feet offshore?

expeople1 [14]

Answer: OPTION C.

Step-by-step explanation:

Observe the triangle ABC attached.

Notice that the angle of depression is represented with $\alpha$ .

Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of $\alpha$ by using arctangent:

$\alpha= arctan(\frac{opposite}{adjacent})$

In this case you can identify that:

$opposite=260\\adjacent=270$

Therefore, substuting values into $\alpha= arctan(\frac{opposite}{adjacent})$ , you get that the angle of depression is:

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3 years ago

7-x= 49<br> Solve the exponential equation

hjlf

Answer:

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3 years ago

A recent survey found that 70% of all adults over 50 wear

lubasha [3.4K]

Answer:

There is an 84.97% probability that at least six wear glasses.

Step-by-step explanation:

For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do 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:

$n = 10, p = 0.7$

What is the probability that at least six wear glasses?

$P(X \geq 6) = P(X = 6) + `P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.8497$

There is an 84.97% probability that at least six wear glasses.

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3 years ago

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yarga [219]

because in each case, the selected column composes one<span>-tenth of the grid in total. The number of blocks is different, but the proportion of space filled is the same.</span>

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3 years ago

Read 2 more answers

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devlian [24]

Answer:

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Step-by-step explanation:

Check attachment

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3 years ago