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Whitepunk [10]
3 years ago
8

B is the midpoint of segment AC. Find the value of x.

Mathematics
1 answer:
tester [92]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

Since B is the midpoint, AB and BC are congruent in length.

   5x-6 = 2x

      5x = 2x + 6

5x - 2x = 6

       3x = 6

         x = 2

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A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to
Archy [21]

Answer:

0.2916, 0.1488, 0.0319

Step-by-step explanation:

Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.

Since each trial is independent there is a constant probability for any random car to need oil is 0.10

Let X be the number of cars that need oil

A) Here X is BIN(4,0.1)

P(X=1) = 4C1(0.1)(0.9)^3 \\= 0.2916

B) Here X is Bin (8, 0.1)

P(x=2) = 8C2 (0.1)^2 (0.9)^6\\\\=0.1488

C) Here X is Bin (20,5)

P(x=5) = 20C5 (0.1)^5 (0.9)^{15} \\=0.0319

3 0
3 years ago
How many 4 digits codes can be formed with odd numbers without repetition? 0 is not allowed.
Sliva [168]

9514 1404 393

Answer:

  120

Step-by-step explanation:

The number of permutations of 5 things taken 4 at a time is 120.

__

There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.

120 4-digit codes can be formed using odd digits with no repetition.

3 0
3 years ago
Which function below is the inverse of f(x) = The quantity of three x plus five, over seven?
Nastasia [14]
Given function: f(x) = (3x+5)/7

y = f(x) so it's the same as y = (3x+5)/7

Swap every copy of x and y to get x = (3y+5)/7

Solve for y to get....
x = (3y+5)/7
7x = 7*(3y+5)/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
3y = 7x-5
3y/3 = (7x-5)/3
y = (7x-5)/3

So the inverse function is f^(-1)(x) = (7x-5)/3

Answer is choice A


5 0
3 years ago
Read 2 more answers
A cat heart beats about 130 beats per minute .A kitten heartbeat can be as fast as 240 beats per minute.How many times does a ki
sineoko [7]
21,600 minutes because 1 hour equals 60 mins. while half in an hour is 30 mins. and 60 + 30 = 90 so you multiply 240 by 90 getting 21,600
4 0
3 years ago
Which ordered pair must be a solution in the graph of the leaner inequality below?
poizon [28]

Answer is A (-5 , 1)

Coordinate point (-5 , 1) lies in the shaded region

Hope it helps

7 0
3 years ago
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