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1 year ago

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Mathematics

1 answer:

Alex_Xolod [135]1 year ago

8 0

The value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.

<h3>What is a normal distribution?</h3>

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have a probability distribution shown in the table:

P(2 < X ≤ 4)

We have to find the probability between 2 and 4

P(2 < X ≤ 4) = P(x =3) + P(x = 4)

From the table

P(x =3) = 0.10

P(x = 4) = 0.04

P(2 < X ≤ 4) = 0.10 + 0.04 = 0.14

Thus, the value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.

Learn more about the normal distribution here:

brainly.com/question/12421652

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.7 times 4 all this is for a question

anyanavicka [17]

Answer:

7777

Step-by-step explanation:

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2 years ago

Which of the following is the standard equation of the ellipse with vertices at (1,0) and (27,0) and an eccentricity of 5/13?

Dovator [93]

The equation of the elipse is given by:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

The equation of an elipse of center $(x_0, y_0)$ is given by:

$\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 0$

Values a and b are found according to the vertices and the eccentricity.

It has vertices at (1,0) and (27,0), thus:

$x_0 = \frac{27 + 1}{2} = 14$

$y_0 = \frac{0 + 0}{2} = 0$

$a = \frac{27 - 1}{2} = 13$

$a^2 = 169$

It has eccentricity of $\frac{5}{13}$ , thus:

$\frac{5}{13} = \frac{c}{a}$

$\frac{5}{13} = \frac{c}{13}$

$c = 13$

Thus, b is given according to the following equation:

$c^2 = a^2 - b^2$

$b^2 = a^2 - c^2$

$b^2 = 169 - 25$

$b = \sqrt{144}$

$b = 12$

The equation of the elipse is:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

A similar problem is given at brainly.com/question/21405803

3 0

2 years ago

HELP PLEASE!!!!

kumpel [21]

Answer:

The rational numbers are $\frac{11}{3}, 6.25, 0.01045,\sqrt{\frac{16}{81}},0.\bar{42}$ and the irrational functions are $\sqrt{48},\sqrt{\frac{3}{16}}$ .

Step-by-step explanation:

A rational number can be expressed in the form of $\frac{p}{q}$ , where p and q are integers and q is not equal to 0. For example $2,3.5,\frac{2}{5},...$ .

An irrational function can not be expressed in the form of $\frac{p}{q}$ , where p and q are integers and q is not equal to 0. For example $\sqrt{2},\sqrt{3},\sqrt{5},...$ .

If any number is multiplied by a irrational number then the resultant number is an irrational number.

By the above definition we can conclude that:

The number $\frac{11}{3}$ is a rational number.

$\sqrt{48}=\sqrt{16\times 3}=4\sqrt{3}$

Therefore $\sqrt{48}$ is an irrational number.

$6.25=\frac{625}{100}=\frac{25}{4}$

Therefore 6.25 is a rational number.

$0.01045=\frac{1045}{100000}=\frac{209}{20000}$

Therefore 0.01045 is a rational number.

$\sqrt{\frac{16}{81}}=\frac{4}{9}$

The number $\frac{16}{81}$ is a rational number.

$\sqrt{\frac{3}{16}}=\frac{\sqrt{3}}{4}$

The number $\frac{3}{14}$ is an irrational number.

$0.\bar{42}=\frac{42}{99}$

Therefore $0.\bar{42}$ is an irrational number. The numbers with recursive bar are always rational numbers.

3 0

3 years ago

Pre Calculus:

Gwar [14]

Let n be a number of friends at the perty. If dinner costs $30 per person, then it cost $30n for all friends.

Robert has booked a banquet hall which costs $200, then his total expenses are $200+30n.

If the final bill is p, then p=200+30n.

Answer: p=200+30n.

3 0

3 years ago

Read 2 more answers

If the probability of receiving a message on the internet today is 8/9, what is the probability of not receiving a message?

PIT_PIT [208]

Answer:

The probability is 1/9

Step-by-step explanation:

1 - 8/9 = 1/9

6 0

2 years ago