A population can be divided into two subgroups that occur with probabilities 60% and 40%, respectively. An event A occurs 30% of the time in the first subgroup and 50% of the time in the second subgroup. What is the unconditional probability of the event A, regardless of which subgroup it comes from

His/her lowered score was most likely due to statistical regression.

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

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The table that matches the equation is:

Time    Calories

-20          -110

-10          -55

-15         - 82.50

-5            -27.50

The correct table would contain values that are multiples of 5.5t

For example:

Total calories burned at 20 seconds : 5.5 x 20 = 110

Total calories burned at 10 seconds : 5.5 x 10 = 55

Total calories burned at 15 seconds : 5.5 x 15 = 82.50

Total calories burned at 5 seconds : 5.5 x 5 = 27.50

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Answer:

The 2nd one

Step-by-step explanation:

its the right one

Answer:

x = 58°

z = 60°

y = 29( 58°)

Step-by-step explanation:

The arrows on the lines are trying to tell you that these lines are parallel to each other, whenever you see parallel lines think of *FUN* method

2y = 58° (alternate angles)

y = 29

x = 58° (alternate angles)

62° + 58° + z = 180° (sum of angles on a triangle)

120° + z = 180°

z = 60°

The variation equation is xy = a^3

An inverse variation is represented as:

xy = k

Where k is the constant of variation

When y = a and x =a^2, we have:

k = a * a^2

Evaluate

k = a^3

Substitute k = a^3 in xy = k

xy = a^3

Hence, the equation is xy = a^3

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Answer:

finished this question is from matric it is very easy

Answer:
183/8 or 22.875

Step-by-step explanation:

Take 22.5 and put it over 1 so 22.5/1

And then multiply by 8 to get a common denominator (180/8) then add the 3/8 and you get 183/8 or 22.875

Answer: 11

Step-by-step explanation:

By the trapezoid midsegment theorem, x = (9+13)/2 = 11

Answer: (2,5)

Step-by-step explanation: Step 1: Identify key concepts for Part A

y=7x-9

Slope: 7

y int.  :  -9

y=3x-1

Slope: 3

y int.  :  -1

Since you know this information, you can plot the points and graph it.

Part B

To solve a system of equations, you need to identify the point whereby the two graphs intersect, and since you're solving it graphically, just find the point of intersection. You should get an answer of: (2,5)

(x=2) and (y=5)

Answer:

Data Set C

Step-by-step explanation:

You can see that the data is best fit and better looking and fitting to the line in the data set C.

Answer:

y=5/3x+4

Step-by-step explanation:

Slope intercept formula: y=mx+b

m=slope

b=Y-Intercept

Answer:

[tex]\sf y=\dfrac{5}{3}x+4[/tex]

Step-by-step explanation:

Given:

[tex]\textsf{slope of $\dfrac{5}{3}$, and a y-intercept of $4$}[/tex]

⇒ Slope-Intercept Form: y = mx + b

where:

Substitute the given values:

[tex]\sf\\ \implies y=mx+b\\\\\implies y=\dfrac{5}{3}x+4[/tex]

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Polynomial is an expression that consists of indeterminates(variable) and coefficients. The roots of the polynomial are ​1, 2.7321, and -0.7321.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The roots of the polynomial are:

x³ - 3x² + 2

If we divide the polynomial by (x-1), then

(x³ - 3x² + 2)/(x-1) = x² - 2x - 2

now, factorize the given polynomial,

x² - 2x - 2

x = 1 ± √3

x = ​1, 2.7321, -0.7321

​Hence, the roots of the polynomial are ​1, 2.7321, and -0.7321.

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Answer:

Step-by-step explanation:

f(x) = x^2 – 5x + 12

The value of f(–10) = 82?     NO

f(-10) = (-10)^2 – 5(-10) + 12

f(-10) = 100 + 50 + 12

f(-10) = 162

NO

The graph of the function is a parabola.   YES

See attached graph.

YES

The graph of the function opens down.  NO

See attached graph.

The graph contains the point (20, –8).    NO

See graph

----

Plus we can use x=20 in the function and see if it returns -8:

f(x)=x^2-5x+12

f(20)=(20)^2-5*(20)+12

f(20) = 400 - 100 + 12

f(20) = 312  It does not result in -8

The graph contains the point (0,0).        NO

See graph

Answer:

3 different ways

Step-by-step explanation:

2, 3, and 5 are all prime numbers under 6

Answer: x≠±2, x<±2, x>1, x<1, and x>±2

explanation:

for this equation to be true

Case 1

either (x-1) should be a negative while (x²-4) should be positive

which gives:-

x-1<0

so, x<1

also, x²-4>0

so, x²>4

⇒x>±2

Case 2:-

x-1>0 and x²-4<0

which gives

x>1 and x²-4<0

so, x>1 or x<±2

Case 3:-

either way, the denominator can't be 0

so, x²-4≠0

which gives,

x≠±2

compiling all, we have,

x≠±2, x<±2, x>1, x<1, and x>±2

These solutions can be pointed to as points on a number line and the behavior shows their discontinuity.

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The solution of the equation is x=3 or x=-5.

Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.

Let's assume that the (x+2)=u.

The given equation is rewritten as u²-2u-15=0.

Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as

u²-5u+3u-15=0

u(u-5)+3(u-5)=0

Taking out (u-5) as common and get

(u-5)(u+3)=0

Compare each equation with 0 and get

u-5=0 or u+3=0

u=5 or u=-3

Performing back substitution by substituting the values of u in x+2

when u=5 then x is

x+2=5

x=3

And when u=-3 then x is

x+2=-3

x=-5

Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.

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Answer:X=-5 and X=3

Step-by-step explanation:

Answer: No solution

Step-by-step explanation:

Both of these equations have the same number as to coefficient of x (-6) but have a different constant (-8 and 8). This means that there are no solutions to this system of equations.

Answer:

A

Step-by-step explanation:

2a² + 2 + a - 2

+2 and -2 cancel

a² and a aren't like terms

final = 2a² + a

Step-by-step explanation:

[tex] = 49[/tex]

[tex] = 7 \times 7[/tex]

[tex] = {7}^{1 + 1} [/tex]

[tex] = {7}^{2} [/tex]

Answer:

38.8 litres

Step-by-step explanation:

22.6 + 18.7 = 41.3

41.3 - 2.5 = 38.8

38.8 litres

Answer:

38.8 liters.

Step-by-step explanation:

Word problems with addition and subtraction:

To find the quantity of water inside the bath tub, add the quantity of hot water and cold water. Then from this subtract the water that is spilled.

Quantity of water in the bathtub = 22.6 + 18.7 - 2.5

                                                      = 41.3 - 2.5

                                                      = 38.8 liters

Answer:

which class of this exam

Answer:

$40

Step-by-step explanation:

Ramon has $80 saved

half of it came from mowing yard

therefore 80/2 = 40

the rest from raking leaves

80-40=40

Answer:

Step-by-step explanation:

-16p+37=49-21p what is the answer?

-16p + 37 = 49 - 21p

-16p + 21p = 49 - 37

5p = 12p =

p = 12/5

Red sweets

_______

Total number =

N÷n+8

Probility is 7/10=n÷n+8

10n= 7n+56

3n=56

N= 56/3 but it has to be a whole number so 7/10

Tristan needs to make at least 10 visits to the movie theater to earn his first free movie ticket.

Let v be the number of visits Tristan makes to the movie theater.

He receives 25 rewards points just for signing up, and he earns 8.5 points for each visit. So, the total rewards points he will have is

25+8.5v.

He needs at least 110 points for a free movie ticket. Therefore, we can write the inequality:

25+8.5v≥110

To solve for v, we can subtract 25 from both sides of the inequality and then divide by 8.5:

8.5v≥85

v≥85/8.5

v≥10

So, Tristan needs to make at least 10 visits to the movie theater to earn his first free movie ticket.

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Volume is a three-dimensional scalar quantity. Mila only has 350 grams of platinum, therefore, she does not have enough platinum to make a necklace.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of 12 bead = 12 × (4/3) × π × R³

                                        = 12 × (4/3) × π × (0.7)³

                                        = 17.241 cm³

Given the density of platinum as 21.5 grams per cubic centimeter, therefore,

Mass = density × Volume = 370.682

Since Mila only has 350 grams of platinum, therefore, she does not have enough platinum to make a necklace.

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Answer: y = (x - 1) (7x + 5)

Step-by-step explanation:

y = 7x² - 2x - 5     Use the slip and slide method.

y = x² - 2x - 35    Factor

y = (x - 7) (x + 5)  Slide 7 back in, divide -7 by 7 to get -1. Slip 7 into (x + 5).

y = (x - 1) (7x + 5)

The factorized form of the quadratic equation is  y = (7x+5)(x - 1).

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

To factor the quadratic function, we need to find two binomials whose product is equal to the given quadratic. Here's one way to factor y = 7x² - 2x - 5:

First, we need to find two numbers whose product is 7(-5) = -35 and whose sum is -2. These numbers are -7 and 5, since (-7)(5) = -35 and (-7) + 5 = -2.

Next, we use these two numbers to split the middle term of the quadratic:

y = 7x² - 7x + 5x - 5

Notice that we have a common factor of 7x in the first two terms and a common factor of 5 in the last two terms. We can factor these out to get:

y = 7x(x - 1) + 5(x - 1)

Now, we have a common factor of (x - 1), which we can factor out to get the factored form:

y = (7x + 5)(x - 1)

Therefore, the correct answer is: y = (7x+5)(x - 1).

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