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4 years ago

If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)?

Mathematics

1 answer:

bazaltina [42]4 years ago

7 0

(f+g)(x) = f(x) + g(x) = (|x| + 9 ) + (-6) =

|x| + 9 - 6 = |x| + 3

Answer is |x| + 3

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The probability that a household owns a pet is 0. 55. Suppose there are 5 houses on a block. Assuming each household is independ

Alexandra [31]

If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.

Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.

We are required to calculate the probability that all the five households will have pets.

Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.

Binomial probability distribution is basically the probability calculations but in different combinations.

In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to $5C_{5}(0.55)^{5} (1-0.55)^{0}$

=1(0.0503) $(0.45)^{0}$

=1*0.0503*1

=0.0503

Hence the probability that all the five households will have pets is equal to 0.0503.

Learn more about probability at brainly.com/question/24756209

#SPJ4

6 0

1 year ago

50,000 contestants participate in an on-line game. The game randomly eliminates 20% of the contestants each day. Determine the n

irga5000 [103]

Answer:10,486 contestants

Step-by-step explanation:

First day:

Total number of contestants at the beginning = 50,000

After first day, 20% 0f 50,000 are removed.

That is, (20/100)×50,000 = 10,000

Contestants remaining after first day = 50,000-10,000 = 40,000

Second day:

Contestants= 40,000

20% removed

That is (20/100)×40000=8000

Balance =40000-8000=32,000

Third day:

Contestants= 32000

20% removed

That is (20/100)×32000=6400

Balance =32000-6400=25,600

Fouth day:

Contestants= 25,600

20% removed

That is (20/100)×25,600=5,120

Balance =25,600-5,120=20,480

Fifth day:

Contestants= 20,480

20% removed

That is (20/100)×20,480=4096

Balance =20,480-4096=16,384

Sixth day:

Contestants= 16,384

20% removed

That is (20/100)×16,384=3276.8

Balance =16,384-3276.8=13,107.2

Seventh day:

Contestants= 13,107.2

20% removed

That is (20/100)×13,107.2=2621.44

Balance =13107.2-2621.44=10485.76

Therefore, number of contestants remaining after one week equals 10,486.

6 0

3 years ago

Ugh I’m kinda stuck someone can help me ?

lara31 [8.8K]

Answer:

To graph this line, move one of the points to positive three on the horizontal (side to side) line and negative six on the vertical (up and down) line. To get a slope of negative 1/2 you move down one point and right two points, and you continue until you reach the edge of the graph. Then you do the opposite on the way up (up one and left two).

Hope this helps!

3 0

3 years ago

Read 2 more answers

The net of a right triangle

marusya05 [52]

Answer:

l \

l______\

Step-by-step explanation:

8 0

3 years ago

HELPPPP

AVprozaik [17]

Answer:

The smaller number is: 8

The bigger number is: 20

Step-by-step explanation:

Ok let's say the two numbers are x and y.

x is the smaller one, and y is the bigger one.

This is the equation to find x:

x + 4y = 88

x + y = 28

x - x + 4y - y = 88 - 28

3y = 60

y = 20

x + 20 = 28

x = 8

4 0

3 years ago