Find the equation of this linear model

A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group

Bas_tet [7]

Answer:

This data is not a probability distribution

The reason sum of the probabilities is not equal

∑ P(X=x) ≠ 1

Step-by-step explanation:

<u>Explanation</u>:-

Given data

x 0 1 2 3

p(x) 0.091 0.334 0.408 0.166

<u>Discrete distribution :-</u>

Probability distribution of a random variable is the set of its possible values together with their respective probabilities. Suppose X is a discrete random variable with possible outcomes (values) x₁ , x₂ , x₃ ,......... The probability of each possible outcome

$p_{i} = P(x=x_{i}) = p(x_{i}) for I= 1,2,3......$

If the numbers $p(x_{i}) , I =1 ,2,3,.....$ satisfy the two conditions

i) $p(x_{i}) \geq 0 for all values of i$

ii) ∑P(X=x) =1

Given data condition(i) satisfied $p(x_{i}) \geq 0 for all values of i$

but the condition (ii) is not satisfied

0.091+0.334+ 0.408+ 0.166 = 0.999

sum off all probabilities is not equal to one

<u>Conclusion</u>:-

The given data is not probability distribution

6 0

4 years ago

Students in Mrs. Marquez's class are watching a film on the uses of geometry

Oxana [17]

The given information on the diagram of the projector and the image can

be used to prove the congruency of the triangles.

∠ABD, ∠BDA, and side $\overline {AD}$ on ΔABD are congruent to ∠CBD, ∠BDC, and

segment $\overline {CD}$ on ΔCBD, therefore, ΔABD ≅ ΔCBD, by <u>AAS Theorem</u>

Reasons:

The figure of the projector that casts an image on the screen is attached.

The bisector of the line $\overline {AC}$ = $\overline {BD}$

From the drawing, we have;

∠ABD ≅ ∠CBD by equal number arc mark.

The two column proof is therefore, presented as follows;

Statement ${}$ Reason

$\overline {BD}$ is perpendicular bisector of ${}$ $\overline {AC}$ Given

$\overline {AD}$ = $\overline {CD}$ ${}$ Definition of bisected line $\overline {AC}$

∠BDC = 90° ${}$ $\overline {BD}$ is perpendicular $\overline {AC}$

∠BDA = 90° ${}$ $\overline {BD}$ is perpendicular $\overline {AC}$

∠ABD ≅ ∠CBD ${}$ Given on the diagram

ΔABD ≅ ΔCBD ${}$ by Angle-Angle-Side AAS Congruency rule

The Angle-Angle-Side, AAS, Congruency postulate states that two

triangles are congruent where two adjacent angles and a non included side

on one triangle are congruent to the corresponding two adjacent angles

and a non included side on the other triangle.

Learn more here:

brainly.com/question/15274307

8 0

3 years ago

This will be a easy math problem add me as a friend for more easy problems for alot of points.

Vlad [161]

Answer:

30

Step-by-step explanation:

Multiply the factors, to get the product of 30

~theLocoCoco

5 0

3 years ago

Marta runs a mandarin-orange fruit stand. She is talking to an employee, Maribel, on the phone and trying to tell her the equati

Ivanshal [37]

Answer:

Fifty more than half the number of the oranges is one-hundred-and-twenty.

The sum of fifty and half the number of oranges is the same as one-hundred-twenty.

Step-by-step explanation:

The equation is 50 + one-half m = 120.

Assume the number of oranges=m

50+1/2m=120

1/2m=120-50

1/2m=70

m=70÷1/2

=140

All statement that applies includes:

1. Fifty more than half the number of the oranges is one-hundred-and-twenty.

50+1/2m=120

2. The sum of fifty and half the number of oranges is the same as one-hundred-twenty.

50+1/2m=120

Martha can use the two statements above to communicate the correct equation

8 0

3 years ago

Read 2 more answers

Simplify (x + 5)2 using the square of a binomial formula.

Olegator [25]

Answer:

$x^2 + 10x + 25$

Step-by-step explanation:

Hello!

Formula: $(a +b)^2 = a^2 + 2ab + b^2$

a = x
b = 5

Plug it into the formula and simplify.

<h3>Simplify</h3>

$(a +b)^2 = a^2 + 2ab + b^2$
$(x +5)^2 = x^2 + 2(x)(5) + 5^2$
$(x +5)^2 = x^2 + 10x + 25$

The answer is the first option: $x^2 + 10x + 25$ .

7 0

2 years ago