Find the missing parts of each parallelogram

Point (6,2) is part of the function.

What are functions?

In mathematics, a function is a procedure that uniquely connects the value of one variable to the value of another variable (or variables).

Here, we have the plotted points as:

(0,3), (2,7), (3,1), (5,4), (7,6)

Assuming from the above, we get a sinusoid graph as below.

Now if we try to plot the provided points, we see that only (6,2) satisfies the curve.

Hence, (6,2) is a point that is part of the function.

To learn more about functions, visit the following link:

https://brainly.com/question/10439235

#SPJ1

Age and you can also use weight too

you can easily group people by their age and weight but not by eye color

example

age people

5 - 10 14

10 - 15 5

the table above shows that we have 14 people within the range of 5 to 10 years

and likewise the weight of the people can serve the same purpose

Answer:

just a and b

Step-by-step explanation:

If a 10-digit phone number has the following format: (XYZ)-ABC-DEFG. With these limitations, there are 25,200,000 phone numbers that can have seven digits.

Possible methods

XYZ=4 C'4 could be an area code.

A numbers 2 through 8 equal C'7

C'10 + B = C'9

D,E,F, and G are the same as C'10 C'10 C'10

Hence,

Alternatives: C'4 C'7 C'10 C'9 C'10 C'10 C'10

Possible methods: 4 7 10 9 10 10 10 10

Numbers of possible ways: 25,200,000

In light of this, if a ten-digit phone number has the format (XYZ)-ABC-DEFG. These limitations make the following seven-digit phone numbers possible: 25.2 million phone numbers

Learn more about phone number here;

https://brainly.com/question/28293707

#SPJ1

No, we cannot use the binomial probability formula with x counting the number who are left-handed in this case

This is because the adults surveyed were selected without replacement. The binomial distribution requires that the samples are independent and identically distributed (i.e., the probability of success remains constant for each trial).

However, when we sample without replacement, the probabilities are not constant because the population size changes with each selection. This means that the probability of selecting a left-handed person for the first selection is not the same as the probability of selecting a left-handed person for the second selection, and so on. Therefore, we cannot use the binomial distribution to calculate the probability of at least 30 left-handed adults among 100 selected without replacement from the US population.

Instead, we can use the hypergeometric distribution to calculate the probability of at least 30 left-handed adults among 100 selected without replacement from the US population. The hypergeometric distribution takes into account the changing probabilities as each selection is made without assuming that the selections are independent.

For more such questions on binomial probability

https://brainly.com/question/9325204

#SPJ4

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

Obtenga más información sobre el modelo matemático en

https://brainly.com/question/30517381

#SPJ1

The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

For more questions like Correlation click the link below:

https://brainly.com/question/30116167

#SPJ11

Answer:

Decimal--x= -1.39

Fraction--x= -139/100

Step-by-step explanation:

You want to get x by itself in this problem

You have to distribute the 3 into the parenthesis first

1.2/8=15x+21

Now you can do 2 of either things....you can either divide 1.2/8 and then subtract 21 from both sides or you can just subtract 21 from both sides without dividing. I will use option 2.

1.2/8-21=15x+21-21

So now you cancel out the 21 on the right side and get...

-20.85=15x

Now divide by 15

-1.39=x in fraction form -139/100=x

Hope this helped!

Answer:

6 hours

Step-by-step explanation:

Let both of them plan for  t hours to plant 111 trees n t hours

Melissa  can plants 10 trees in 1 hour

in t hours she can plant 10 t trees

Jane plants 17 tree in 2 hours

in one hour Jane can plant 17/2 trees

in t hours she can plant (17/2)t  trees.

Total trees planted by both of them in t hours in terms of t will be

10t + (17/2)t

= (10t*2 + 17t)/2

= (20t + 17t)/2

= 37t/2

but it is given that they planted 111 trees together

so 37t/2 should be equal to 111

37t/2 = 111

=> 37t = 111*2 = 222

=> t = 222/37 = 6.

Thus, it takes 6 hours for both of them to plant 111 trees together.

Answer:

your dad is never coming back

Step-by-step explanation:                                                
$3 milk                                                      |
x= distance                                               |
                                                                  |
                                                   _______|________________
y= time                                                     o                                   |
                                                             home                    grocery store
f(x)= | 3/x |        
lim
x ➔ o
 f (x)               now thats your answer bye give credits >:)                                                

Answer:

C. 2.

Step-by-step explanation:

The graph descends from the left  so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below.  The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.

f(x) = a(x + 20)(x - 6.5)(x - 13)   where a is  a negative constant.

(This is only an approximation).

By the Remainder theorem, when the expression is divided by (x + 10):

f(-10) = -20 so we have

-20 = a (-10 + 20)(-10-6.5)(-10 - 13)

(10)(-16.5)(-23)a = -20

a = -20 / (10)(-16.5)(-23)

a = -0.0053

When  the equation is divided by (x - 10) then f(10)  is the remainder so substituting we have as the remainder:

-0.0053(10+20)(10-6.5)(10 -13)

-0.0053 * 30 * 3.5 * -3

= 1.7 approximately.

Looks like the answer is 2.

The type of nonprobability design that is most likely to yield a representative sample is a stratified random sampling.

In stratified random sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables that are relevant to the research objective. Then, a random sample is selected from each stratum proportionally to the size or importance of that stratum in the population. This approach ensures that the sample reflects the diversity and heterogeneity of the population.

By stratifying the population and using random sampling within each stratum, the stratified random sampling design increases the likelihood of obtaining a representative sample. It allows for accurate representation of different groups within the population, which can help reduce sampling bias and provide more precise estimates of population characteristics.

However, it's important to note that even with stratified random sampling, there may still be limitations and potential sources of bias. Factors such as nonresponse rates and the accuracy of the population data used for stratification can impact the representativeness of the sample. Nevertheless, when properly implemented, stratified random sampling is a valuable nonprobability design for achieving representativeness in a sample.

Learn more about probability here, https://brainly.com/question/251701

#SPJ11

Answer:

Step-by-step explanation:

We need to figure out how far Eric's car takes him in 1 rotation based on the diameter of his tire in feet. If the diameter of the tire is 18", then it is 1.5'. The circumference will tell us the distance 1 rotation of his tires will take him:

C = 3.1415(1.5) so

C = 4.71225 feet is how far he goes in 1 rotation. If he travels 88 feet in 1 second, we can figure the number of rotations by dividing 88 by 4.71225 to give us the unit rate (or, rotations per second his car makes). This quotient is 18.67 feet per sec, which rounds to 19, choice B.

The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

To know more about Venn diagram refer here :

https://brainly.com/question/318076803

#SPJ11

The length of the garden is 99 m.

The formula for the area of a rectangle is:

Area = Length x Width

We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:

8811 \(m^{2}\) = Length x 89 m

To solve for the length, we can divide both sides of the equation by 89 m:

Length = 8811 \(m^{2}\) / 89 m

Simplifying, we get:

Length = 99 m

Therefore, the length of the garden is 99 m.

to know more about rectangle

brainly.com/question/29123947

#SPJ1

T is a point in the line segment SU

SU = ST + TU

SU = 4x

ST = 2x + 6

TU = 4

\(4x =( 2x + 6 )+ 4 \\ 4x = 2x + 10 \\ 4x - 2x = 10 \\ 2x = 10 \\ x = \frac{10}{2} \\ \\ x = 5\)

x = 5

ST = 2x + 6 = (5×2) + 6

HOPE THIS WILL HELP....

Answer:

\(d=0.364\ g/cm^3\)

Step-by-step explanation:

It is given that,

Mass of benzene, m = 0.1 L

Mass, m = 36.4 g

We know that, 1 L = 1000 cm³

0.1 L = 100 cm³

The density of an object is equal to its mass divided by its volume. So,

\(\rho=\dfrac{m}{V}\\\\=\dfrac{36.4\ g}{100\ cm^3}\\\\=0.364\ g/cm^3\)

So, the density of benzene is \(0.364\ g/cm^3\).

Answer:

Step-by-step explanation:

V = length * height * width = 18 * length * width

2,592 = 18 * length * width ; divide both sides by 18

144=  length * width ; now what 2 numbers multiplied are giving us 144?

1*144 = 144 ; 2*72 = 144 ; 3*48=144 ; 4*36 =144 ; 6*24 = 144 ; 8*18 = 144 ;

9*16 =144 ; 12*12 =144

5, 7, 10 and 11 does not divide 144 into a whole number

possible lengths and widths are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

We need to roll a die at least 3 times and a coin should be tossed at least 2 times.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given this, Becca repeatedly tosses a fair coin until she gets a head.

The probability of getting a head P(H) is = 1/2.

The probability of getting a number 3 or higher is,

P(3) + P(4) + P(5) + P(6).

= 1/6 + 1/6 + 1/6 + 1/6.

= 4/6.

= 2/3.

So, to get a number 3 or higher we need at least 3 rolls, and to get a head we need at least 2 tosses.

learn more about probability here :

https://brainly.com/question/743546

#SPJ1

Answer:

13.0 miles

Step-by-step explanation:

We can use the Pythagorean Theorem to figure out the straight line distance from your starting point to your ending point.

To construct a triangle which we can apply the Pythagorean Theorem to, we have to add up the total miles in each direction.

    On the east-west axis, the total distance traveled is 5 miles.

    On the north-south axis, the total distance traveled is 12 miles.

We can make these two values the legs (short sides) of a right triangle, which we can then plug into the Pythagorean Theorem:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

√(169) = √(c²)

c = 13

So, the straight line distance from your starting point is 13.0 miles.

Answer:

1:9 is my best guess because 9 is a factor of 3 and 1 would be the lowest ratio for a number less than 3 :)

Step-by-step explanation:

Hope this helps, have a good day :)

Answer:

AC=16 inches

Step-by-step explanation:

Given two side lengths of a triangle as x and y (x greater than y), the third side z must satisfy the inequality:

x - y ≤ z ≤ x + y

The side lengths are x=17 and y=10, thus:

17 - 10 ≤ z ≤ 17 + 10

7 ≤ z ≤ 27

The third side must be between 7 and 27 inches. The only choice that satisfies the conditions is AC=16 inches

If a number is not prime, it is referred to as a composite number. Any composite number can be expressed as a product of prime factors.

Prime factorization is the method of determining which prime numbers, when multiplied together, produce the original number. Prime factorization aids in a variety of mathematical operations such as finding common denominators, simplifying fractions, and determining greatest common factors. In this problem, we are to express 80 as a product of its prime factors. 80 can be expressed as the product of its prime factors in the following manner:2 × 2 × 2 × 2 × 5 = 80.The factors of 80 are 2, 4, 5, 8, 10, 16, 20, 40, and 80, which can all be determined by multiplying combinations of the prime factors 2 and 5. We can continue to divide by 2 to get prime factors of the number.80 ÷ 2 = 40, 40 ÷ 2 = 20, 20 ÷ 2 = 10, 10 ÷ 2 = 5, 5 ÷ 1 = 5So, we can write 80 as 2 x 2 x 2 x 2 x 5. Therefore, the prime factorization of 80 is 2 x 2 x 2 x 2 x 5. In ascending order, the prime factors of 80 are 2, 2, 2, 2, and 5.A prime number is a positive integer that has only two factors: 1 and itself.

For more such questions on composite

https://brainly.com/question/20344650

#SPJ8

The equation of the plane is ax + by + cz + d = 0, where a = -1, b = -5, c = -5, and d = 11.

The equation of the plane that passes through points (1, 1, 1), (2, 0, 3), and (-1, 4, 2) can be found using the point-normal form of the equation of a plane.

To find the normal vector of the plane, we can take the cross product of two vectors formed by the given points. Let's call the vectors formed by (1, 1, 1) and (2, 0, 3) as vector A, and the vectors formed by (1, 1, 1) and (-1, 4, 2) as vector B.

Vector A = (2-1, 0-1, 3-1) = (1, -1, 2)
Vector B = (-1-1, 4-1, 2-1) = (-2, 3, 1)

Now, taking the cross product of A and B, we get the normal vector of the plane:
Normal vector = A x B = (1, -1, 2) x (-2, 3, 1) = (-1, -5, -5)

Using the normal vector and one of the given points (let's use (1, 1, 1)), we can write the equation of the plane as:
-1(x - 1) - 5(y - 1) - 5(z - 1) = 0

Simplifying the equation, we get:
-x - 5y - 5z + 11 = 0

So, the equation of the plane is ax + by + cz + d = 0, where a = -1, b = -5, c = -5, and d = 11.

To know more about equation refer here:

https://brainly.com/question/33722071

#SPJ11

Hi there!

The next 2 terms are 250 and 1,250.

We have a geometric sequence, which means we use multiplication or division to get to the next term.

Here, we multiply by 5 to get to the next term.

So we multiply 50 by 5:

50*5=250

We multiply 250 by 5 to get to the next term:

250*5=1,250

And we're done!

Hope this helps!

~Just a felicitous girlie

#HaveASplendidDay

\(SilentNature :)\)

Answer:

250, 1250

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 5 gives the next term.

Hope that helps!

Answer:

Y intercept is 275. X intercept is 125.

Step-by-step explanation:

The y intercept is where the line meets the y axis. The x intercept is where the line meets the x axis. You just have to look at those.

Answer:

y intercept is (0, 275)

x intercept is (125, 0)

Step-by-step explanation:

a) The amount of the first monthly payment that goes to repay the principal is approximately $421.26. b) The amount of the 121st month's payment that goes toward payment of principal is approximately $55,833.31.

To find the amount of the first monthly payment that goes towards repaying the principal, we can use the amortization formula. The formula to calculate the monthly payment amount is:

P = (r * A) / (1 - (1 + r)⁻ⁿ)

Where:

P is the monthly payment amount,

r is the monthly interest rate,

A is the loan amount, and

n is the total number of monthly payments.

Let's calculate the monthly payment amount first:

Loan amount (A) = $400,000

Annual interest rate = 5.8%

Number of years (n) = 30

To convert the annual interest rate to a monthly interest rate, we divide it by 12 and convert it to a decimal:

Monthly interest rate (r) = (5.8% / 12) / 100 = 0.0048333

Number of monthly payments (n) = 30 years * 12 months/year = 360

Using the formula, we can calculate the monthly payment (P):

P = (0.0048333 * $400,000) / (1 - (1 + 0.0048333)⁻³⁶⁰)

P ≈ $2,354.59 (rounded to two decimal places)

(a) The amount of the first monthly payment that goes to repay the principal is equal to the monthly payment minus the interest accrued. Let's calculate it:

Interest for the first month = Loan amount * Monthly interest rate

Interest for the first month = $400,000 * 0.0048333 ≈ $1,933.33 (rounded to two decimal places)

Principal payment for the first month = Monthly payment - Interest for the first month

Principal payment for the first month = $2,354.59 - $1,933.33 ≈ $421.26 (rounded to two decimal places)

Therefore, the amount of the first monthly payment that goes to repay the principal is approximately $421.26.

(b) To find the amount of the 121st month's payment that goes toward payment of principal, we need to calculate the remaining loan balance after 10 years (120 months) and then subtract it from the initial loan amount.

Remaining loan balance after 10 years can be calculated using the amortization formula:

Remaining balance = P * ((1 - (1 + r)⁻ⁿ) / r) - P * (((1 + r)⁻ⁿ) - 1)

P = Monthly payment amount calculated earlier

r = Monthly interest rate calculated earlier

n = 360 (total number of monthly payments)

Remaining balance after 10 years = $2,354.59 * ((1 - (1 + 0.0048333)⁻¹²⁰) / 0.0048333) - $2,354.59 * (((1 + 0.0048333)⁻¹²⁰) - 1)

Remaining balance after 10 years ≈ $344,166.69 (rounded to two decimal places)

Amount of the 121st month's payment that goes toward payment of principal = Initial loan amount - Remaining balance after 10 years

Amount of the 121st month's payment that goes toward payment of principal = $400,000 - $344,166.69 ≈ $55,833.31 (rounded to two decimal places)

Therefore, the amount of the 121st month's payment that goes toward payment of principal is approximately $55,833.31.

To know more about interest rate:

https://brainly.com/question/33613526

#SPJ4