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Alex777 [14]
3 years ago
11

???!! Someone pleaseee help me

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0
If AB + BC = AC, and A, B and C are collinear, then
B is between A and C
You might be interested in
A pine tree grows about 18 inches per year. After how many years will the tree be 90 inches tall? [Type your answer as a number.
Monica [59]

5 years because when you divide 90 by 18 to get how many years it takes the tree to grow to 90 inches tall, you get 5.

3 0
3 years ago
9. Given f(x) = 7x2 and g(x) = x +1,<br> find f(g(x)). SHOW ALL WORK.
Nezavi [6.7K]

I hope this helps you

f(g(x)) =f(x+1)=7(x+1)^2

f(x+1)=7.(x^2+2x+1)

f(x+1)=7x^2+14x+7

8 0
3 years ago
Read 2 more answers
What is the length of the unknown side?
777dan777 [17]

Answer:

Hi there!

The correct answer is: 20

Step-by-step explanation:

knowing this a right triangle you can solve this problem in two ways

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then plug in the values

(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2

square root both sides and you get c = 20

Method Two: Pythagorean Identities

if you ever learned the Pythagorean identity 3,4,5

this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4

so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20

 

4 0
3 years ago
Please do number 19 for me.
dedylja [7]
Angles in triangle add to 180 degrees
20x=180
x=9
Angle ABC is the top one
8x9=72
4 0
2 years ago
Read 2 more answers
Suppose X has an exponential distribution with mean equal to 23. Determine the following:
e-lub [12.9K]

Answer:

a) P(X > 10) = 0.6473

b) P(X > 20) = 0.4190

c) P(X < 30) = 0.7288

d) x = 68.87

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

Mean equal to 23.

This means that m = 23, \mu = \frac{1}{23} = 0.0435

(a) P(X >10)

P(X > 10) = e^{-0.0435*10} = 0.6473

So

P(X > 10) = 0.6473

(b) P(X >20)

P(X > 20) = e^{-0.0435*20} = 0.4190

So

P(X > 20) = 0.4190

(c) P(X <30)

P(X \leq 30) = 1 - e^{-0.0435*30} = 0.7288

So

P(X < 30) = 0.7288

(d) Find the value of x such that P(X > x) = 0.05

So

P(X > x) = e^{-\mu x}

0.05 = e^{-0.0435x}

\ln{e^{-0.0435x}} = \ln{0.05}

-0.0435x = \ln{0.05}

x = -\frac{\ln{0.05}}{0.0435}

x = 68.87

5 0
3 years ago
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