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alukav5142 [94]
2 years ago
7

Which statements about the hyperbola are true? Check all that apply.

Mathematics
2 answers:
mariarad [96]2 years ago
8 0

Answer:

True options: 1, 2 and 5

Step-by-step explanation:

From the given diagram, you can see that the center of the hyperbola is placed at the origin, so first option is true (see attached diagram for definition of center, vertices, foci, i.e.)

There are two vertices of the hyperbola, they are placed at (-6,0) and (6,0), so second option is true.

The transverse axis is the segment connecting vertices, this segment is horizontal, so option 3 is false.

The foci are not placed within the rectangular reference box, so this option is false.

The directrices are vertical lines with equations x=\pm \dfrac{a}{e}, so this option is true.

dusya [7]2 years ago
6 0

Answer:1 2 5

Step-by-step explanation:

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Color blindness is an inherited characteristic that is more common in males than in females. If M represents male and C represen
DerKrebs [107]

Answer:

The probability that a randomly selected person is not color blind is 0.958

Step-by-step explanation:

Given,

C represents red-green color blindness,

Also, the probability that a randomly selected person is color blind,

P(C) = 0.042,

Thus, probability that a randomly selected person is not color blind,

P(C') = 1 - P(C) = 1 - 0.042 = 0.958

4 0
2 years ago
Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon. Yu bought 3 pieces of ribbon. Nailah bought 5 pieces of ribbo
Svetllana [295]

ENter you name for more info:________________

5 0
2 years ago
Decrease £16870 by 3% , give your answer rounded 2 decimal places
lidiya [134]
To decrease it by 3% we need to fine 97% of it and 97% is the same as 0.97

16870 times 0.97=16363.9

16870 decreased by 3% is 16363.9

I hope I've helped!
5 0
1 year ago
Find the volume of a cone with a base radius of 3 cm and a height of 9 cm
katovenus [111]

The volume of a cone is 84.78 cm                

<u>Step-by-step explanation</u>:

<u>Given</u>:

radius = 3 cm and

height = 9 cm

<u>To Find</u>:

The Volume of a Cone

<u>Formula</u>:

The Formula for the volume of a cone is

V=πr2 *h/3

<u>Solution</u>:

V=πr2 *h/3

π value is 3.14

V= 3.14*(3)^2*9/3

V=3.14*9*3

V= 84.78 cm

Therefore the volume is 84.78 cm.

5 0
2 years ago
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = t
pentagon [3]

Answer:

P(R\ and\ B) = 0.0256

Step-by-step explanation:

Given

Red = 22

Yellow = 38

Green = 20

Purple = 28

Blue = 26

Orange = 16

Required

Determine the probability of red then blue jelly? i.e. P(R and B)

From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean

So, we have:

P(R\ and\ B) = P(R)\ and\ P(B)

This is then solved further as:

P(R\ and\ B) = P(R)\ *\ P(B)

P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}

The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean

The equation becomes:

P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}

P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}

P(R\ and\ B) = \frac{22*26}{150*149}

P(R\ and\ B) = \frac{572}{22350}

P(R\ and\ B) = 0.02559284116

P(R\ and\ B) = 0.0256

3 0
1 year ago
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