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3 years ago

What is the median of 5, 7, 2, 4, 3 (remember to place the numbers in order first.)

Mathematics

1 answer:

Inessa05 [86]3 years ago

5 0

Answer:

Step-by-step explanation:

The numbers in order would be

2, 3, 4, 5, 7

The number in the middle is always the median

Therefore, 4 is the median

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An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.

Greeley [361]

Answer: 1) 0.6561 2) 0.0037

Step-by-step explanation:

We use Binomial distribution here , where the probability of getting x success in n trials is given by :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

, where p =Probability of getting success in each trial.

As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel. : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = $P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}$

$=(1)(0.90)^4=0.6561$

∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= $P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037$

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

8 0

2 years ago

URGENTTTT HELPPPPPPP please

Ahat [919]

Given that ABC is a right triangle.

The length of AC = 10 and AB = 17

We need to determine the m∠B

<u>The measure of ∠B:</u>

The side opposite to ∠B is AC and the hypotenuse of the triangle is AB

The m∠B can be determined using the trigonometric identity,

$sin B=\frac{opp}{hyp}$

where $opp=AC$ and $hyp=AB$

Substituting, we get;

$sin B=\frac{AC}{AB}$

Substituting the values, we get;

$sinB=\frac{10}{17}$

$sin B=0.588$

Taking $sin^{-1}$ on both sides of the equation, we have;

$B=sin^{-1}(0.588)$

$B=36.015^{\circ}$

Rounding off to the nearest tenth, we get;

$B=36.0^{\circ}$

Hence, the measure of ∠B is 36.0°

8 0

3 years ago

The graph below represents the solution set of which inequality?

Butoxors [25]

It's B, i just took the test... So :3

5 0

3 years ago

F(x)=\sqrt{\frac{20 x}{x^2-49}}

Lyrx [107]

Answer:

Great use of desmos! But since one line doesn't touch the x- axis it would have to be +infinity. the other line does touch at (0,0) so the x would be 0. This is a question that you should ask your teacher about for sure.

Sorry I cant be more help!

8 0

3 years ago

Manuel builds and sells wooden crates. He made this table to show how much his crates cost in dollars. Number of crates 2 4 6 8

Bumek [7]

Hi i just took the quiz and this is where your point needs to go. Idk how to explain it bc i got it wrong but the dot there is the right answer.

3 0

3 years ago