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Serjik [45]
3 years ago
10

The graph below belongs to which function family?

Mathematics
2 answers:
svet-max [94.6K]3 years ago
6 0
The answer is the last one (absolute value)
I am Lyosha [343]3 years ago
6 0

The graph shown in the diagram belongs to the family of absolute function value.

The parent function f(x)=|x| has the graph (red graph in attached diagram).

Reflect this graph across the x-axis and translate 3 units up to get given graph (see blue graph in attached diagram). The function rule will be g(x)=-|x|+3.

Answer: correct choice is D.

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Describe the graph g < 0.6
padilas [110]
Just asking, what book is it?
5 0
3 years ago
Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distrib
natali 33 [55]

Answer:

a) X is a discrete random variable.

b) 2% probability of choosing a unit with 10 rooms

c) 98% probability that a unit chosen at random is not a 10-room unit

d) 30% probability that a unit chosen at random has less than five rooms

e) 7% probability that a unit chosen at random has less than five rooms

Step-by-step explanation:

The distribution means that:

7% probability that a randomly chosen owner-occupied housing unit in a certain city has 3 rooms.

23% probability that a randomly chosen owner-occupied housing unit in a certain city has 4 rooms.

36% probability that a randomly chosen owner-occupied housing unit in a certain city has 5 rooms.

19% probability that a randomly chosen owner-occupied housing unit in a certain city has 6 rooms.

5% probability that a randomly chosen owner-occupied housing unit in a certain city has 7 rooms.

5% probability that a randomly chosen owner-occupied housing unit in a certain city has 8 rooms.

3% probability that a randomly chosen owner-occupied housing unit in a certain city has 9 rooms.

?% probability that a randomly chosen owner-occupied housing unit in a certain city has 10 rooms.

(a) Is X a discrete or continuous random variable?

X is the number of rooms in a randomly selected house. The number of rooms is a countable variable, that is, only assumes values like 1,2,3,4,... You cannot have 3.5 rooms, for example.

So X is a discrete random variable.

(b) What must be the probability of choosing a unit with 10 rooms?

The sum of all probabilities must be 100%(1 decimal). So

0.07 + 0.23 + 0.36 + 0.19 + 0.05 + 0.05 + 0.03 + ? = 1

0.98 + ? = 1

? = 0.02

2% probability of choosing a unit with 10 rooms

(c) What is the probability that a unit chosen at random is not a 10-room unit?

0.07 + 0.23 + 0.36 + 0.19 + 0.05 + 0.05 + 0.03 = 0.98

98% probability that a unit chosen at random is not a 10-room unit

(d) What is the probability that a unit chosen at random has less than five rooms?

7% probability it has 3 rooms

23% probability it has 4 rooms. So

7+23 = 30% probability that a unit chosen at random has less than five rooms

(e) What is the probability that a unit chosen at random has three rooms?

7% probability that a randomly chosen owner-occupied housing unit in a certain city has 3 rooms. So

7% probability that a unit chosen at random has less than five rooms

8 0
3 years ago
Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
kherson [118]

Answer:

=\frac{364\pi}{3} cubic units

Step-by-step explanation:

We are to find the  volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.

f(x)=2x+1, y=0, x=0, x=4.

The picture is given as shaded region.

This is rotated about x axis

Limits for x are already given as 0 and 4

f(x) is a straight line

The solid formed would be a cone

Volume = \pi \int\limits^a_b {(2x+1)^2} \, dx \\= \pi \int\limits^4_0 {(4x^2+4x+1)} \, dx \\=\pi [\frac{4x^3}{3} +2x^2+x]^5_0\\\\=\pi[\frac{4*4^3}{3}+2*4^2+4-0]\\=\frac{364\pi}{3}

7 0
2 years ago
Solve for x. 8x+10-5x=15.
Yanka [14]

Answer:

=

5

3

Step-by-step explanation:

8

+

1

0

−

5

=

1

5

3

+

1

0

=

1

5

7 0
3 years ago
Read 2 more answers
What is pr and sr please
Sonbull [250]

Answer:

Answer C = PR =8   SR =6

Step-by-step explanation:

PR = x-1

PR = 9-1 = 8

PR x = 8

SR = x-3

SR = 9-3 = 6

SR x = 6

3 0
3 years ago
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