Help pls 100 points plus brainiest
In a science experiment, Mathilda and Jonathan observed how a spring's length changed when they hung blocks of different weights from its end. They noted the weight in pounds and the increase in the spring's length in inches. The graph shows the data that they recorded.

The coordinates of vertex D in the parallelogram are (-7, -10).

We have,

To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.

One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.

Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:

Find the vector representing one of the sides of the parallelogram.

We can use the vector AB.

Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)

= (6 - 8, -4 - 2)

= (-2, -6)

Add this vector to point C to find the coordinates of D.

Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)

= (-5 - 2, -4 - 6)

= (-7, -10)

Therefore,

The coordinates of vertex D are (-7, -10).

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ1

The answer of the given question based on probability to compute the variance of X. Round to 2 decimal places the answer is ,Rounding to 2 decimal places, the variance of X is 1.31.

In statistics, variance is  measure of how spread out or dispersed set of data is. It is calculated as  average of the squared differences from the mean of data. The variance is expressed in units that are square of the units of data, and small variance indicates that data points tend to be close to mean, while a large variance indicates that  data points are spread out over  wider range of values.

To calculate  variance of  set of data, first find mean (average) of the data points. Then, for each data point, subtract  mean from that data point and square the difference. Next, sum up all  squared differences and divide by the total number of data points minus one.

The probability of drawing a red card on any one draw is 1/4, and the probability of drawing a green card is 3/4. Since the draws are made with replacement, the draws are independent, and we can use the binomial distribution to model the number of red cards drawn in 7 draws.

The probability mass function of  binomial distribution with parameters n and p are below:

P(X = k) =(n choose k) *p^k*(1-p)^(n-k)

In this case, we have n = 7 and p = 1/4, so the probability mass function of X is:

P(X = k) = (7 choose k) * (1/4)^k * (3/4)^(7-k)

We can use this formula to calculate the probabilities of X taking each possible value from 0 to 7:

P(X = 0) = (7 choose 0) * (1/4)^⁰ * (3/4)^⁷ ≈ 0.1335

P(X = 1) = (7 choose 1) * (1/4)¹ * (3/4)⁶ ≈ 0.3348

P(X = 2) = (7 choose 2) * (1/4)² * (3/4)⁵ ≈ 0.3119

P(X = 3) = (7 choose 3) * (1/4)³ * (3/4)⁴ ≈ 0.1451

P(X = 4) = (7 choose 4) * (1/4)⁴ * (3/4)³ ≈ 0.0415

P(X = 5) = (7 choose 5) * (1/4)⁵ * (3/4)² ≈ 0.0064

P(X = 6) = (7 choose 6) * (1/4)⁶ * (3/4)¹ ≈ 0.0005

P(X = 7) = (7 choose 7) * (1/4)⁷ * (3/4)⁰ ≈ 0.0000

To calculate the variance of X, we need to calculate the expected value of X and the expected value of X squared:

E(X) = Σ k P(X = k) = 0P(X=0) + 1P(X=1) + 2P(X=2) + 3P(X=3) + 4P(X=4) + 5P(X=5) + 6P(X=6) + 7P(X=7) ≈ 1.75

E(X^2) = Σ k²P(X = k) = 0²P(X=0) + 1²P(X=1) + 2²P(X=2) + 3²P(X=3) + 4²P(X=4) + 5²P(X=5) + 6²P(X=6) + 7²P(X=7) ≈ 4.56

Then, we can use the formula for the variance:

Var(X) = E(X²) - [E(X)]² ≈ 4.56 - (1.75)² ≈ 1.03

Rounding to 2 decimal places, the variance of X is 1.31.

To know more about  Probability mass function visit:

https://brainly.com/question/30765833

#SPJ1

Assuming each draw is a random selection of one card and X = number of red cards drawn. So, the  variance of X rounded to two decimal places is 1.31.

In statistics, variance is  measure of how spread out or dispersed set of data is. It is calculated as  average of the squared differences from the mean of data. The variance is expressed in units that are square of the units of data, and small variance indicates that data points tend to be close to mean, while a large variance indicates that  data points are spread out over  wider range of values.

The probability of drawing a red card on any one draw is 1/4, and the probability of drawing a green card is 3/4. Since the draws are made with replacement, the draws are independent, and we can use the binomial distribution to model the number of red cards drawn in 7 draws.

The probability mass function of  binomial distribution with parameters n and p are below:

P(X = k) =(n choose k) \(p^{k}*(1-p)^{n-k}\)

In this case,

we have n = 7 and p = 1/4, so the probability mass function of X is:

P(X = k) = (7 choose k) * \((1/4)^{k}*(3/4)^{7-k}\)

We can use this formula to calculate the probabilities of X taking each possible value from 0 to 7:

P(X = 0) = (7 choose 0) × (1/4)⁰ × (3/4)⁷

≈ 0.1335

P(X = 1) = (7 choose 1) × (1/4)¹ × (3/4)⁶

≈ 0.3348

P(X = 2) = (7 choose 2) × (1/4)² × (3/4)⁵

≈ 0.3119

P(X = 3) = (7 choose 3) × (1/4)³ × (3/4)⁴

≈ 0.1451

P(X = 4) = (7 choose 4) × (1/4)⁴ × (3/4)³

≈ 0.0415

P(X = 5) = (7 choose 5) × (1/4)⁵ × (3/4)²

≈ 0.0064

P(X = 6) = (7 choose 6) × (1/4)⁶ × (3/4)¹

≈ 0.0005

P(X = 7) = (7 choose 7) × (1/4)⁷ × (3/4)⁰

≈ 0.0000

To calculate the variance of X, we need to calculate the expected value of X and the expected value of X squared:

E(X) = Σ k P(X = k)

= 0P(X=0) + 1P(X=1) + 2P(X=2) + 3P(X=3) + 4P(X=4) + 5P(X=5) + 6P(X=6) + 7P(X=7)

≈ 1.75

E(X²) = Σ k²P(X = k)

= 0²P(X=0) + 1²P(X=1) + 2²P(X=2) + 3²P(X=3) + 4²P(X=4) + 5²P(X=5) + 6²P(X=6) + 7²P(X=7)

≈ 4.56

Then, we can use the formula for the variance:

Var(X) = E(X²) - [E(X)]²

≈ 4.56 - (1.75)²

≈ 1.03

Rounding to 2 decimal places, the variance of X is 1.31.

To know more about Probability mass function visit:

https://brainly.com/question/30765833

#SPJ1

The complete question is as follows:

A small deck of four cards consists of one red card and three green cards. Draw 7 times with replacement. Assume each draw is a random selection of one card. Let X = the number of red cards drawn, compute the variance of X. Round to 2 decimal places.

Var(X) =

The groups of the shapes are;

A parallelogram is known to be a kind of a quadrilateral that consist of two pairs of parallel sides.

Note that the opposite sides of a parallelogram is said to be equal in length, and the opposite angles are known to be of the same measure.  So this tells  that the shapes in group A are parallelograms.

The shapes in the group B are known to have opposite parallel sides and the angle that exist between the adjacent sides is seen as 90 degrees. This tells that the shapes in group A are rectangles

Therefore, The groups of the shapes are;

Learn more about Shapes from

https://brainly.com/question/27110461

#SPJ1

Answer: (C)

Step-by-step explanation:

The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

Learn more about system of equations click;

https://brainly.com/question/20067450

#SPJ1

The function increases by 10 units.

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

The function f(x) = 5x is a linear function with a slope of 5. Therefore, the function increases by 5 units for every 1 unit increase in x.

To determine how the function changes over the interval from x=8 to x=10, we can calculate the difference in the function values at these two points:

f(10) - f(8) = 5(10) - 5(8) = 50 - 40 = 10

This means that the function f(x) = 5x increases by 10 units over the interval from x=8 to x=10.

The function increases by 10 units.

To know more about linear function visit,

https://brainly.com/question/4025726

#SPJ1

the approximate annual cost of raising a child born in 2013 at age 17 is about $15,050, assuming that the trend of increasing cost per year continues. we first need to calculate the slope (m) and the y-intercept (b)

what do you mean by approximate ?

Approximate means "close to but not exactly" or "an estimate". In other words, an approximate value is a value that is not exact but is close enough to the actual value to be useful or meaningful in a given context.

In the given question,

To find the equation of the line of fit in slope-intercept form, we first need to calculate the slope (m) and the y-intercept (b) using the two given points (8, 12,800) and (14, 14,420).

m = (y₂ - y₁) / (x₂ - x₁)

m = (14,420 - 12,800) / (14 - 8)

m = 1,620 / 6

m = 270

b = y - mx

b = 12,800 - 270(8)

b = 10,940

Therefore, the equation of the line of fit in slope-intercept form is:

y = mx + b

y = 270x + 10,940

To use this equation to estimate the cost of raising a child born in 2013 at age 17, we can plug in x = 17 and solve for y:

y = 270x + 10,940

y = 270(17) + 10,940

y = 15,050

Therefore, the approximate annual cost of raising a child born in 2013 at age 17 is about $15,050, assuming that the trend of increasing cost per year continues.

To know more about  slope , visit:

https://brainly.com/question/3605446

#SPJ1

Answer:

see below

Step-by-step explanation:

I think you are asking how many tokens she has left. She has 18 - 3 * 2 = 18 - 6 = 12 tokens left. She can play 12/3 = 4 more games.

Answer:

$40.00 is the answer

Step-by-step explanation:

also can you mark me as a brainlist if you get a chance

Answer: $40.00

Step-by-step explanation:

12 is 30% of 40

Answer:

2/0 or infinity

Step-by-step explanation:

Answer: (f×g)(x)

Step-by-step explanation:

12×-6= -72

3×0= 0

-6×6= -36

So h(x) is equal to (f×g)(x)

Answer:

48 units

Step-by-step explanation:

36 is 75% of what number

36 = .75n

n = 36/.75

n = 48

The correct answer is "Oy-axis" as it represents the line of reflection for triangle DEF to triangle D'EF.

To determine the line of reflection that maps triangle DEF to triangle D'EF, we can examine the coordinates of the corresponding vertices.

Given that E' is located at (10, 4) and the corresponding vertex E in triangle DEF is at (-10, 4), we can observe that the x-coordinate of E' is the negation of the x-coordinate of E.

This suggests that the line of reflection is the y-axis. A reflection across the y-axis results in a transformation where the x-coordinate of each point is negated while the y-coordinate remains the same.

Since "Oy-axis" indicates the line of reflection from triangle DEF to triangle D'EF, it is the appropriate response.

for such more question on triangle

https://brainly.com/question/1058720

#SPJ8

Answer:

Kindly check table below :

Step-by-step explanation:

Given :

Ages of Best Actors Age %

26-35 30

36-45 35

46-55 25

56-65 4

66-75 3

76-85 3

The class width = difference between the intervals = (35 - 26) = 10

Class midpoint = (sum of interval) / 2 = (26 + 35) / 2 = 61 / 2 = 30.5

The class boundaries :

Lower - 0.5 = 26 - 0.5 = 25.5

Upper + 0.5 = 35 + 0.5 = 35.5

Ages _ F ___Class Bound.__ classW__midpoint

26-35 _ 30 _ 25.5-35.5 ____ 10 _____ 30.5

36-45 _ 35 _ 35.5-45.5 ____ 10 _____ 40.5

46-55 _ 25 _ 45.5-55.5 ____ 10 _____ 50.5

56-65 _ 4 __ 55.5-65.5 ____ 10 _____ 60.5

66-75 _ 3 __ 65.5-75.5 _____10 _____ 70.5

76-85 _ 3 __ 75.5-85.5 _____ 10 _____ 80.5

Answer:

\(R' = (-1,-0.5)\)

Step-by-step explanation:

See attachment for complete question.

From the attachment:

\(P = (-3,-3)\)

\(R = (1,2)\)

Dilation:

\(D_{(0.5,P)}\)

Required

Determine R'

First, subtract the coordinates of P from R. This means that R is measured from P.

\(R = (1-(-3),2-(-3))\)

\(R = (1+3,2+3)\)

\(R = (4,5)\)

Next, apply dilation factor 0.5

\(R' = R * 0.5\)

\(R' = (4,5) * 0.5\)

\(R' = (4* 0.5,5* 0.5)\)

\(R' = (2,2.5)\)

Lastly, measure R' from the origin by adding the coordinates of P to R'

\(R' = (2+(-3),2.5+(-3))\)

\(R' = (2-3,2.5-3)\)

\(R' = (-1,-0.5)\)

Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.

The coordinate of the R' after the dilation is (-1,-0.5)

Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.

Given information-

The points of PQRS are Q(-3,2), R(1,2), P(-3,-3), S(1,-3).

The given points are dilated. This dilation can be measured by subtracting the point P from each point . Thus the point of Q is,

\(Q'=Q-P\\Q'=(-3-(-3), 2-(-3))\\Q'=(0,5)\)

Similarly,

\(R'=R-P= (1-(-3),2-(-3))=(4,5)\\P'=P-P=(-3-(-3), 3-(-3)=(0,0)\\S'=S-P=(1-(-3),-3-(-3))=(4,0)\\\)

As the dilation factor is 0.5. Thus, the point of Q is,

\(Q"=(0.5)\times(0,5)=(0,2.5)\)

Similarly,

\(R"=(0.5)\times(4,5)=(2,2.5)\\P"=(0.5)\times(0,0)=(0,0)\\S"=(0.5)\times(4,0)=(2,0)\\\)

Add the points P back, to the above coordinate plane to get the dilation point. Thus the point of Q is,

\(Q'''=(0,+(-3), 2.5+(-3))\\Q'''=(-3,-0.5)\)

Similarly,

\(R'''=(2+(-3),2.5+(-3))=(-1,-0.5)\\P'''=(0+(-3),0+(-3))=(-3,-3)\\S'''=(2+(-3),0+(-3))=(-1,-3)\\\)

Thus the coordinate of the R' after the dilation is (-1,-0.5)

Learn more about the dilation here;

https://brainly.com/question/10253650

Events

• A: the babies are identical twins

• B: the babies are two boys

We have to find the probability of identical twins given that the twins consist of two boys. This is expressed mathematically as P(A|B). This probability is computed as follows:

From the previous question, P(A) = 5/11

P(A∩B) means the probability of A and B, that is, the babies are identical twins and two boys. From the table:

Substituting P(A) = 5/11 and P(A∩B) = 5/22 into the formula, we get:

The probability is 1/2

Answer:

I think it's D

Step-by-step explanation:

The number never goes over 0 so there is no need to put anything above 0

Answer:

the answer is D. The second arrow he drew should have started at -15 instead of 0.

Step-by-step explanation:

was on a test I took and got 100

The absolute minimum of the function is f ( -10 ) = -1

Given data ,

Let the function be represented as f ( x )

Now , the function f ( x ) is plotted on the graph

where the minimum of a function is the smallest value that the function takes on over its entire domain.

It is the point on the graph of the function that is the lowest possible point

So , the function has the minimum value of - 1 at the point x = -10

Hence , the minimum of function is f ( -10 ) = -1

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ1

Answer:

Step-by-step explanation:

1.) 143.25 - 11.25 = $132

$132 - 22 - 22 - 22 - 22 - 22 - 22 = 132

so 6 people can go

2.) it was 18 miles which stella whent 18 miles from her  house to the airport

please mark this as brainlists

To calculate the merit increase based on your annual review score, we can use the given information that merit increases start at 0.5% for a score of 2.6 and increase by 1% every 0.4 points.

First, we need to determine the difference between your score and the starting score of 2.6:

3.4 - 2.6 = 0.8

Next, we divide this difference by 0.4 to determine the number of 0.4-point intervals:

0.8 / 0.4 = 2

Since each 0.4-point interval corresponds to a 1% increase, we multiply the number of intervals by 1% to find the total increase:

2 * 1% = 2%

Therefore, you will be receiving a merit increase of 2%.

Answer:

m = -2

Step-by-step explanation:

To find the slope of a line, use the equation:

m = y2 - y1 / x2 - x1

Then, substitute in values:

m = 54 - 58 / 2 - 0

m = -4 / 2

m = -2

Answer:

c

Step-by-step explanation:

you need to count step by step

Answer: 91

Step-by-step explanation:

21/15=1.4

15*1.4=21

20*1.4=28

10*1.4=14

there are 3 sides that equal 14

3*14=42

42+21+28= 91

Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

60 percentage of the tickets were sold to fans of the home team.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

To find the percentage of tickets sold to fans of the home team,

we need to divide the number of tickets sold to home team fans by the total number of tickets sold, and then multiply by 100 to convert the fraction to a percentage:

Percentage of tickets sold to home team fans = (Number of tickets sold to home team fans / Total number of tickets sold) x 100%

Number of tickets sold to home team fans = 90

Total number of tickets sold = 150

Percentage of tickets sold to home team fans = (90 / 150) x 100%

Percentage of tickets sold to home team fans = 0.6 x 100%

Percentage of tickets sold to home team fans = 60%

Therefore, 60% of the tickets were sold to fans of the home team.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ2

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

--------------------------------------------------

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

----------------------------------------------------

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

-------------------------------------------------

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

--------------------------------------------------

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Answer:

x=12

Step-by-step explanation:

3x=2x+12

3x-2x=12

x=12

Answer:

---------------------------------------

Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

Answer:

(P+20)(p-2)

Step-by-step explanation:

p^2+18p-40

P^2+(20-2)p-40

P^2+20p-2p-40

P(p+20)-2(p+20)

(P+20)(p-2)