y-(-11)=-1/2(x-(-10))what is y

The correlation coefficient is -0.4124

From the question, we have the following parameters that can be used in our computation:

The table of values

Next, we enter these values in a graphing tool, where we have the following summary

X Values

∑ = 52

Mean = 6.5

∑(X - Mx)2 = SSx = 42

Y Values

∑ = 93

Mean = 11.625

∑(Y - My)2 = SSy = 7567.875

X and Y Combined

N = 8

∑(X - Mx)(Y - My) = -232.5

For the coefficient, we have

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -232.5 / √((42)(7567.875)) = -0.4124

Hence, the value is -0.4124

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Answer:

Step-by-step explanation:

.................8908989

Answer:

26

Step-by-step explanation:

○= 7

□=5

◇=4 (The triangle)

JL = 4x = 12 units.

Step-by-step explanation:

Since JKLM is an isosceles trapezoid, we know that parallel sides JK and LM are congruent. Additionally, since the diagonals intersect at point R, we know that angles JRM and KRL are congruent.

To find m∠JKL, we can use the fact that the sum of the angles in a quadrilateral is 360 degrees. We know that angle LMK is 78 degrees, angle KJM is 27 degrees, and JRM and KRL are congruent. So, m∠JKL = 360 - 78 - 27 - 2x, where x is the measure of angle KRL.

To find angle KRL, we can use the fact that JRL and KRM are congruent (since they are opposite angles formed by intersecting lines). We also know that JRL + KRL = 180 degrees (since they form a linear pair). Therefore, JRL = KRL = (180 - 27 - 78) / 2 = 37.5 degrees.

Plugging this into our equation for m∠JKL, we get:

m∠JKL = 360 - 78 - 27 - 2(37.5) = 197 degrees

To find m∠KJM, we can simply use the given measure:

m∠KJM = 27 degrees

To find JL, we can use the Pythagorean theorem on right triangles JRL and KRL. We know that JRL is a 3-4-5 right triangle (since 3, 4, 5 is a Pythagorean triple), so JR = 3x and RL = 4x for some value of x. Similarly, we know that KRL is a 7-24-25 right triangle (since 7, 24, 25 is another Pythagorean triple), so KR = 7y and RL = 24y for some value of y.

Since JR = 39 and KR = 42, we can set up two equations:

3x + 24y = 39

4x + 7y = 42

Solving for x and y using any method (substitution, elimination, etc.), we get:

x = 3, y = 2

Therefore, JL = 4x = 12 units.

An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

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Answer:

The probability of selecting the color of ball that you just selected(a red ball) is \(P(r) =  \frac{2}{10}\)

Step-by-step explanation:

From the question we are told that

  The total number of colored balls  is  n  =  10

   The number of red balls is r =  2 red

    The number of white ball is  w =  4

    The number of blue balls is  b  =  4

   The number of balls to be selected is  N  =  2 balls

    The cost of playing picking a ball is  c  =  $10

    The winnings is \(k =  \$ P(A)\)

Here P(A) is the probability of obtaining the exact sequence of result  and from the question it  is  P(A) =  0.10

Generally my price according to the question is  

     \(k =  \frac{0.10 }{10}\)

=>   \(k =  0.01 \)

Let assume we selected a red ball

 Generally the probability of selecting a red ball is  mathematically represented as

       \(P(r) =  \frac{2}{10}\)

Answer/Step-by-step explanation:

5. ✔️Exterior angle = angle outside the triangle = W

✔️Remote interior angle of the triangle to the exterior angle W = opposite angles to angle W which are X and Y

✔️m<X + m<Y = m<W (exterior angle theorem of a triangle)

✔️m<W + m<Z = 180° (linear pair/angles on a straight line)

6. m<6 = 115°

m<5 = 120°

✔️m<2 = 180° - m<5° (linear pair/angles on a straight line)

m<2 = 180° - 120°

m<2 = 60°

✔️m<3 = 180° - m<6° (linear pair/angles on a straight line)

m<3 = 180° - 115°

m<3 = 65°

✔️m<1 = 180° - (m<2 + m<3) (sum of triangle theorem)

m<1 = 180° - (60° + 65°)

m<1 = 55°

✔️m<4 = 180° - m<1 (linear pair/angles on a straight line)

m<4 = 180° - 55°

m<4 = 125°

Answer: The surface area of the rectangular prism is approximately 4 square yards.

Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

So, we have:

160 = lwh

Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.

Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:

lw = V/h = 160/10 = 16

Now, we have two equations:

lw = 16

wh = 160/10 = 16

Solving for w in the first equation, we get:

w = 16/l

Substituting this expression for w in the second equation, we get:

l(16/l)h = 16

Simplifying, we get:

h = 1

Therefore, the dimensions of the rectangular prism are:

length = l

width = 16/l

height = 10

Now, we can calculate the surface area of the rectangular prism using the formula:

SA = 2lw + 2lh + 2wh

Substituting the values we found, we get:

SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))

SA = 32/l + 20l + 160/l

To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:

dSA/dl = -32/l^2 + 20 + (-160/l^2)

0 = -32/l^2 + 20 - 160/l^2

52/l^2 = 20

l^2 = 52/20

l ≈ 1.44

Substituting this value of l back into the expression for SA, we get:

SA ≈ 4 square yards

Therefore, the surface area of the rectangular prism is approximately 4 square yards.

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Carrie has 4 more pints of paint than Bryan.

Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.

To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.

Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.

Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.

To find the difference, we subtract Bryan's pint quantity from Carrie's:

24 - 20 = 4 pints.

Therefore, Carrie has 4 more pints of paint than Bryan.

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The volume of the shape is 490cm³

A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.

The base of this prism is rectangular. The volume of a prism is expressed as;

V = base area × height

base area = 7 × 10 = 70cm²

height = 7cm

the volume of the shape = 70× 7 = 490cm²

therefore the volume of the shape is 490cm³.

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Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 + 11

The value of x that will make both lines A and B to be parallel is:  20

The line transversal theorem states that:

If two parallel lines are cut by a transversal line, then it means that the Alternate Exterior Angles are congruent.

Similarly, If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

Now, we see that the two given angles will be corresponding angles using the line transversal theorem and as such they are congruent. thus:

3x + 20 = 80

3x = 80 - 20

3x = 60

x = 60/3

x = 20

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The input-output tables represent a function that will be table C and table D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

If the value of the output is single for each distinct value of the input. Then the table represents the function.

In option A, the number of outputs is 2 for a single value of the input that is x = 1. So, it does not represent a function.

In option B, the number of outputs is 2 for a single value of the input that is x = 5. So, it does not represent a function.

In option E, the number of outputs is 2 for a single value of the input that is x = 1. So, it does not represent a function.

The input-output tables represent a function that will be table C and table D.

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Answer:

15,235

Step-by-step explanation:

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Answer:

\(6t + \frac{t^2}{2}+2/5t^{5/2} + C\)

Step-by-step explanation:

Given the expression;

g(t) = 6 + t + t²/√t

This can be rewritten as;

g(t) = 6 + t +t²/t^1/2

g(t) = 6 + t +t^{2-1/2}

g(t) = 6 + t +t^3/2

Integrate the result

\(\int\limits {(6 + t+t^{3/2}}) \, dt\\\)

Using the formula x^{n+1}/n+1

\(\int\limits {(6 + t+t^{3/2}}) \, dt\\ = 6t + \frac{t^2}{2}+\frac{t^{3/2+1}}{3/2 + 1} \\ = 6t + \frac{t^2}{2}+\frac{t^{5/2}}{5/2} \\= 6t + \frac{t^2}{2}+2/5t^{5/2} + C\)

An antiderivative is a function that reverses what the derivative does.

Antiderivative is also known as integration.

Antiderivative of given function is  \(6t+\frac{t^{2} }{2}+\frac{2}{5}t^{5/2}+C\)

Antiderivative ,    \(\int\limits^ {}t^{n} \, dt=\frac{t^{n+1} }{n+1} +C\)

So,  \(\int\limits {(6+t+t^{2}/\sqrt{t} )} \, dt =\int\limits {(6+t+t^{3/2} )} \, dt\\\\=6t+t^{2}/2 + \frac{t^{3/2+1} }{3/2+1}\)

     \(\int\limits {g(t)} \, dt=6t+\frac{t^{2} }{2}+\frac{2}{5}t^{5/2}+C\)

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:
Rolled the dice 6 times each with different values.
The total values after the 6 rollings is 31 you just add the sticks after each roll that's how you get the 31.
But the question is asking how many times are we likely to get 5.
You look for the numbers that are equal or greater than 5 / the total values found
The answer will be 5/331
Hope this helped.

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Step-by-step explanation:

all of these 4 numbers are

integer (whole numbers positive and negative).

real (every whole number can be written as e.g. 3.0 and is part of the real numbers).

rational (as any whole number can be written as e.g. 3/1 and is part of the rational numbers).

whole (no fractions).

natural (they are in the set of [1, 2, 3, ... infinity) ).

the only thing here they are not is irrational, as to be irrational they would need to have an infinite sequence of digits after the decimal point without any repeating pattern.

Answer:4x as much as GCF

Step-by-step explanation:

u need to do 4x

Answer:

Step-by-step explanation:

Polynomials can be solved in several ways.

The possible first steps are: A. Factor out a GCF and F. Factor by grouping

A polynomial with 4 terms is represented as:

Because it has 4 terms, it cannot be solved by sum or difference of cubes or squares.

This mean that: options (b), (c), (d) and (e) are false.

However, the terms of the polynomial can be factored, if they have a common factor, and they can also be grouped.

Hence, the possible first steps are: A. Factor out a GCF and F. Factor by grouping

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Answer:

Step-by-step explanation:

2(2) + (2)^3  - 1/2(2)^2

4 + 8 - 1/2(4)

4 + 8 - 2

12 - 2 = 10

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

The probability of the volume of water being over 90 ml is 24.10%.

For the given question;

The mean of the sample is; μ = 62 ml.

The standard distribution is; σ = 40 ml.

The probability of the values must lie more than 90 ml.

Thus,

P(x > 90) = P[ (x - μ)/ σ ]

Substitute the values;

P(x > 90) = 1 -  P[ (90 - 62)/ 40]

P(x > 90) = 1 - P[0.7]

P(x > 90) = 1 - 0.758

P(x > 90) = 0.2410

P(x > 90) = 24.10%

Therefore, the probability that the  the volume of water will be greater than 90 ml is 24.10%.

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Answer:

(3,2)

Step-by-step explanation: