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2 years ago

PLEASE HELP ME WITH THIS PROBLEM!!!!!!

Mathematics

1 answer:

Jet001 [13]2 years ago

5 0

Answer:

n = 59

Step-by-step explanation:

I find it easiest to work problems of this kind using a graphing calculator. That way, extraneous solutions can be avoided. It seems to work well to rewrite the problem, so you're looking for a value of n that makes the result zero. Here, that would mean you want ...

... f(n) = √(n+5) -√(n-10) -1

_____

The solution by hand involves eliminating the root symbols. You do that by squaring the equation:

... n +5 -2√((n+5)(n-10)) + n -10 = 1

Now, we isolate the remaining root and square again.

... 2n -6 = 2√((n+5)(n-10)) . . . collect terms, add 2√( ) -1

... n -3 = √(n²-5n-50) . . . . . . . divide by 2

... n² -6n +9 = n² -5n -50 . . . . square both sides

... 59 = n . . . . . . . . . . . . . . . . . add 50 +6n -n²

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Mrrafil [7]

Answer:

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.

This means that $P(A) = 0.8, P(B) = 0.6$

The probability that at least one part works for one year is 0.9.

This means that: $P(A \cup B) = 0.9$

We also have that:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$0.9 = 0.8+0.6 - P(A \cap B)$

$P(A \cap B) = 0.5$

Calculate the probability that part B works for one year, given that part A works for one year.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.8} = 0.625$

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

3 0

2 years ago

The radius of a sphere is 3 inches. Which represents the volume of the sphere?

Leni [432]

Answer:

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)(pi)r^3.

Here, with r = 3 in, the volume is

V = (4/3)(3.14)(3 in)^2, or V = 36(pi)(27 in)^3 = 36pi in^3

8 0

1 year ago

Plz help me ASAP I will give Brainliest if right. What is the probability that he gets a number less than 4 or A multiple of 4?

mezya [45]

Answer:

5/8

Step-by-step explanation:

The sectors are labeled 1,2,3,4,5,6,7,8

Numbers less than 4: 1,2,3

Multiples of 4: 4,8

We are looking for 1,2,3,4,8 = 5 choices

P (1,2,3,4,8) = Number of choices/ total

= 5/8

4 0

2 years ago

Point R is located at (1, 2) on a coordinate grid. Point S is located at (4, 5) on the same

Aleksandr-060686 [28]

Answer:

4.2 units

most likely answer choice B

Step-by-step explanation:

(1, 2) and (4, 5)

To find the distance between two points, we use the distance formula:

$d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }$

Let's plug in what we know.

$d = \sqrt{(4 - 1)^2 + (5 - 2)^2 }$

Evaluate the parentheses.

$d = \sqrt{(3)^2 + (3)^2 }$

Evaluate the exponents.

$d = \sqrt{(9) + (9) }$

Add.

$d=\sqrt{18}$

Evaluate the radical.

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Round to the nearest tenth.

d = 4.2 units

*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.

Hope this helps!

6 0

2 years ago

Probability of father and mother born in Michigan independent.<br><br>

raketka [301]

Answer:

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Step-by-step explanation:

Let A = "father born in Michigan" and B = "mother born in Michigan".

If A and B are independent, then ...

P(A|B) = P(A)

The table tells us ...

P(A|B) = P(A&B)/P(B) = 0.29/0.73 ≈ 0.397

and

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