Suppose the linear regression line y=-0.3x+11.2 predicts the time, in minutes, it takes you to finish an obstacles course after training for x days. About how much time would it take you to finish the course after training for 5 days.

1) In this question, we are dealing algebra of functions. So, let's add them up.

2)

Note that we wrote it in the standard form.

2) Hence, the answer is:

Answer: (x-2)(x+2) is the solution

Step-by-step explanation:

Use the sum-product pattern

Common factor from the two pairs

Rewrite in factored form

Answer:

(x-2)(x+2)

Step-by-step explanation:

The correct option will be A that is t=(A-P)/Pr by the simplification of equation, "an equation is a mathematical statement that shows that two mathematical expressions are equal ".

In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. In mathematics, an equation is a relationship of equality between two expressions written on both sides of the equal to sign. 3y = 16 is an example of an equation. Some examples of important equations are:

Here,

A=P+Prt

A-P=Prt

t=(A-P)/Pr

The answer is A, which is t=(A-P)/Pr using the equation's simplified form. An equation is a mathematical statement that demonstrates the equality of two mathematical expressions.

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We have the following:

the number of 0 represents the number of the exponent

as is the are zeros to the right, the exponent is negative

Therefore, the answer is:

In the exercise we first formulate and then replace values ​​to find an unknown;

It is important to first look at what data the exercise gives us and then place them in the correct way, it must coincide with what the graph shows us.

If the coordinates of the points are (x, y), then the point lies in the 1st quadrant

If the coordinates of the point are (-x, y), then the point lies in the 2nd quadrant

If the coordinates of the point are (-x, -y), then the point lies in the 3rd quadrant

If the coordinates of the point are (x, -y), then it lies in the 4th quadrant

Since the given point is (-3, 6), then it should be in the 2nd quadrant

Since point B is in the 2nd quadrant, then

The answer is B the third answer

(

The sum of all the possible events is 1, which means that all the events are independent of the others, in that case

P(A or C) = P(A)+P(C) = 0.1 + 0.8 = 0.9

P(B and C) = P(B)*P(C) = 0.1 * 0.8 = 0.08

Answer:

Step-by-step explanation:

Dividend = 24x³ - 14x² + 20x + 6

If the homeowner helps the professional roofer they will do the job in  2.53 days

Let the number of days to complete the job be x

The rate at which the homeowner will roof is x / 16

The rate at which the professional roofer will roof is x / 3

Adding the rates together gives

x / 16 + x / 3

19x / 48

The rate it will take them both to finish the job is

= 48 / 19

= 2.53 days

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The component form of vector v with initial point (-6,2) and terminal point (7,-3) is (13,-5).

The component form of a vector is represented as x, y >, where x denotes the direction of travel (right or left) and y denotes the direction of travel (up or down) of the vector. Any two-dimensional vector may be conceived of as exerting influence in two separate directions. In other words, it can be considered to have two pieces. Components are the individual pieces that make up a two-dimensional vector. A vector's elements show how that vector will act in a specific direction.

Here,

initial point A=(-6,2)

terminal point B=(7,-3).

AB=(Bx-Ax, By-Ay)

=(7-(-6), -3-2)

= (13, -5)

The component form of the vector v with the starting points (-6, 2) and terminal points (7, -3) is (13,-5).

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The probability that any given person is a universal donor is 7.2%. This means that the probability that a person is not a universal donor is 92.8%.This indicates that there is a 0.65 percent chance that at least 1 out of every 10 randomly selected individuals is a universal donor.

Now, if we choose 10 people at random, we can use the binomial distribution to calculate the probability that at least 1 of them is a universal donor. The binomial distribution tells us that the probability of getting exactly k successes in n trials is:

P(k; n, p) = (n choose k) p^k (1-p)^(n-k)

where n is the number of trials, p is the probability of success on a single trial, and k is the number of successes.

plugging in our values, we get:

P(1; 10, 0.072) = (10 choose 1) (0.072)^1 (1-0.072)^9

P(1; 10, 0.072) = 10(0.072) (0.928)^9

P(1; 10, 0.072) = 0.65

This means that the probability that at least 1 out of 10 people chosen at random is a universal donor is 0.65.

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Seven hundredths is:

Fifteen hundredths is:

Explanation:

1) C = 5/9 f + 32

The start value is the constant = 32.

The start value = 32

Growth value = rate of change

Growth value = 5/9

2) y = 4000 - 250x

The start value is the constant = 4000

The start value = 4000

The value of the expression  ctg 30° + 2 csc 60° - 3 cos 30° is 5√3/6

The expression is calculated using trignometic values

ctg 30° + 2 csc 60° - 3 cos 30°

1/tan 30 + 2/sin 60 - 3 cos 30

1/(1/√3) + 2/(√3/2) - 3 (√3/2)

√3 + 4/√3 - 3√3/2

LCM is 2√3

(√3(2√3) + 2(4) - 3√3(√3) )/2√3

(6 + 8 - 9)/2√3

5/2√3

5√3/6

The value of the expression  ctg 30° + 2 csc 60° - 3 cos 30° is 5√3/6

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The value of x in (5 + 2x)/3 < (2x + 2)/4 is x < - 7.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Inequality is (5 + 2x)/3 < (2x + 2)/4.

Now, (5 + 2x)/3 - (2x + 2)/4 < 0.

{4(5 + 2x) - 3(2x + 2)}/12 < 0.

{20 + 8x - 6x - 6}/12 < 0.

(2x + 14)/12 < 0.

2x + 14 < 0.

x + 7 < 0.

x < - 7.

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Answer:

5, 6, 7, 8

Step-by-step explanation:

substitute the values of x from the table into f(x)

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

f(4) = 4 + 4 = 8

the values of f(x) are 5, 6, 7, 8

Given

The given formula

The base is circle

Now back to the given formula

The final answer

The card deck is a standard deck of 52 cards, with 13 cards in each suit.

For the experiment carried out by Michelle, we have the following information:

n(Spades) = 9

n(Hearts) = 11

n(Clubs) = 7

n(Diamonds) = 3

The total number of times she performed the experiment is

The empirical probability will make use of the experimental results, while the theoretical probability will make use of the total possibilities.

PART A: Empirical Probability of selecting a heart.

Probability is calculated by

Therefore, the probability is calculated as

PART B: Theoretical probability of selecting a heart.

This is calculated by

PART C: Empirical probability of selecting a club or diamond.

To calculate the probability for two outcomes, A or B, the probability can be calculated by

Therefore, we will find the probability of getting a club and then a diamond.

Therefore, the probability of selecting a club or a diamond is

PART D: Theoretical probability of selecting a club or a diamond

We will find the probability of getting a club and then a diamond.

Therefore, the probability of selecting a club or a diamond is

Answer:

B

Step-by-step explanation:

If you see two negatives next to each other, just think of them as adding. So add 8 and 7, you get 15.

The price of each bag of popcorn and the price of each drink are $6 and $5 respectively.

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

Given:

The no of popcorn bags bought by Kehlani = 6,

The no of popcorn bags bought by Madelyn = 7,

The no of drinks bought by Kehlani = 8,

The no of drinks bought by Madelyn = 4,

The costing by Kehlani = $76,

The costing by Madelyn = $62,

Let the price of the popcorn bag is x and the price of the drink is y, then,

According to the question statement,

6x + 8y = 76 and 7x + 4y = 62,

Solve the equation by the elimination method,

x = 6 and y = 5

Therefore, the price of each bag of popcorn and the price of each drink are $6 and $5 respectively.

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EXPLANATION

Given the cubic root:

Rewriting 8 as 2^3:

Applying the property of roots:

If each  sides of the slab form 90° angles, The number of feet that

each diagonal measure is 34 feet.

How to find the diagonal feet?

Using Pythagoreans theorem formula to find the diagonal feet

D² =L² + W²

Where:

D = Diagonal

L= Length = 16 feet

W = Width = 30

Let plug in the formula

D² = 16² + 30²

D² = 256 + 900

D=√1156

D= 34 feet

Therefore the diagonal measure 34feet

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By using division of decimal numbers, it is obtained that cost of 1 pound of coffee is $8.99

What is decimal number and division?

Decimal numbers are those numbers which consist of an integer part and a fractional part.

Decimal are of two types-

Terminating decimals are those decimals which has finite number of figures after decimal point

Non terminating decimals are those decimals which has infinite number of figures after decimal point.

Division is the process by which value of single unit can be calculated from the value of multiple unit

The number which is divided is the dividend, the number by which dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula in division

Divisor x Quotient + Remainder = Dividend

Here, division of decimal will be used

Cost of 5 pounds of coffee = $44.95

Cost of 1 pound of coffee = $[tex]\frac{44.95}{5}\\[/tex]

                                          = $8.99

Cost of 8 pounds of coffee = $71.92

Cost of 1 pound of coffee = $[tex]\frac{71.92}{8}\\[/tex]

                                          = $8.99

Cost of 14 pounds of coffee = $125.86

Cost of 1 pound of coffee = $[tex]\frac{125.86}{14}\\[/tex]

                                          = $8.99

Cost of 20 pounds of coffee = $179.80

Cost of 1 pound of coffee = $[tex]\frac{179.80}{20}\\[/tex]

                                          = $8.99

So cost of 1 pound of coffee = 8.99

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The length of the longest side is 27 units, in the isosceles trapezoid.

What is isosceles trapezoid?

A four-sided shape called a trapezoid has two parallel lines on each side (normally the top and bottom sides). A trapezoid that has equal-length non-parallel sides (the legs) is said to be isosceles. Considering everything mentioned before, we may start learning how to calculate an isosceles trapezoid's perimeter.

Given, the congruent nonparallel sides has length 13.

he height of the trapezoid is 12.

the extra length of the larger side will be 2*x, as it will be extra portion in both side.

So x² = 13²-12²

x² = 169-144 = 25

x = √25 = 5

So the lentgh of the larger side is 10 unit larger than smaller side.

The perimer of the isosceles trapezoid will be P = sum of all sides

P = 2*13 + L + L+10

⇒70 = 26+10 +2L

⇒2L = 70 - 36

⇒2L = 34

⇒L = 17

The length of the larger side will be 17+10 = 27 units.

Hence the length of the longest side is 27 units.

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Answer:

0.25

Step-by-step explanation:

3 / 12 = 0.25

Answer:  0.60

Step-by-step explanation:

Recall that the domain of a function is the set of numbers to which the function is defined. That is, if you replace the value of the independant variable (normally represented as x), then the function will give another number as a result.

In this case, we are given the function 400+13x. Since x is the independant variable, to determine the domain we must think on what possible values the variable x can take. Since in this case x represents the number of products made, it is impossible that it takes negative values, since in real life you can't produce negative amounts of products.

So far, we know that x should be greater or equal to zero. Once again, in this context, it doesn't make sense that, for example, x=7.8, since this would mean that 7.8 number of products were made. Since x represents the number of products made, it can only take values as x=0,x=1, x=2, x=3 and so on.

This set receives the name of whole numbers.

The triangle ABC undergoes a dilation of scale factor 2 centered at the origin.

Dilation About the Origin

Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).

If we are given the dilated point, then we can find the original point by dividing by the scale factor.

Triangle ABC was dilated by a scale factor of 2 about the origin mapping it to triangle A'B'C' with vertices A'(-4,4), B'(-4,6), and C(2,4).

The coordinates of triangle ABC are:

A=(-4/2,4/2) = (-2,2)

B=(-4/2,6/2) = (-2,3)

C=(2/2,4/2) = (1,2)

The coordinates of ABC are respectively (-2,2), (-2,3), and  (1,2).

Hence the answer is the triangle ABC undergoes a dilation of scale factor 2 centered at the origin.

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Answer:i'm pretty sure it's the one to the right of the example

Step-by-step explanation:

#28

The given expression is

At first, we will simplify each square bracket

Note that, the + sign does not change the terms in the bracket but the - sign change the signs of the terms inside the bracket

Now, we will multiply the 2 brackets

Now we will add the like terms

The average person burns 575-775 calories per hour in a game of basketball. If they are shooting baskets, they will burn 325-450 calories per hour.

What is Calories?
Calories are a measure of energy. Two main definitions of "calorie" are frequently used due to historical factors. The amount of heat required to increase the temperature of one kilogramme of water by one degree Celsius was the original definition of the large calorie, food calorie, as well as kilogramme calorie (or one kelvin). The amount of heat required to produce the same increase in one gramme of water was known as the small calorie or gramme calorie. As a result, 1000 small calories are equal to 1 large calorie.

How many calories do basketball players burn?

Calories expended per minute equal (MET x body weight in kg x 3.5) / 200

Hence, the average person burns 575-775 calories per hour in a game of basketball. If they are shooting baskets, they will burn 325-450 calories per hour.

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