Find the volume of a right circular cone that has a height of 6.7 in and a base with a diameter of 8.8 in. Round your answer to the nearest tenth of a cubic inch.

The missing statement and reason to complete the given proof of parallelogram is Option A.

What is a parallelogram?

A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of a polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length. A parallelogram has adjacent angles that add up to 180 degrees.

Given, NL is a diagonal of parallelogram KLMN

Since KL || NM and LN is transversal

That implies, ∠KLN ≅∠MNL by alternate interior angles theorem

Again, KN || LM  and NL is transversal

That implies, ∠LNK ≅ ∠NLM by alternate interior angles theorem

Hence, Option A is the correct answer.

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Answer:

B.

∠KLN ≅ ∠MLN, and ∠KNL ≅ ∠MNL

by the alternate interior angles theorem

Step-by-step explanation:

Answer:

top right graph

Step-by-step explanation:

Having a zero at 3 means that the y coordinate is 0 when the x-coordinate is 3.

A y-intercept of 9 means it includes the point (0, 9).

Answer: top right graph

Emily can't get an A in the class, even if she gets an A on the last exam. This expectancy theory might explain.

Expectancy theory suggests that indivisuals are motivated to perform if they know that their extra performance is recognized and rewarded. Consequently companies using performance-based pay can expect improvements.

Expectancy theory explains the process of why someone chooses one behavior over another. In making this conclusion choice, there are three elements considered: expectancy, instrumentality and valence.

Expectancy is the belief that your effort will lead to better performance.

Instrumentality is the trust that if you perform well you will achieve the outcome you expect.

Valence is the how important you feel the outcome, and any related reward is to you personally.

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Answer:

Pick at least four pennies to be sure of getting at least four pennies from the same year.

Step-by-step explanation:

To be sure of getting at least four pennies from the same year, you would need to pick at least four 1967 pennies, four 1968 pennies, or four 1971 pennies. Since these are the three smallest groups of pennies, you would need to pick at least four pennies to be sure of getting at least four pennies from the same year.

The ven diagram from set theory must be used to determine the highest value and minimum value in a set.

We're using this as an illustration.

Let A and B represent two sets with 4 and 7 items, respectively. The maximum number of elements that A and B can have is then written.

So let's assume:

A's element count is equal to n. (A).

B's element count is equal to n. (B).

The sum of the elements of A and B is n (A and B).

Now, here is the equation for the components of A U B:

n(A∪B)=n(A)+n(B)−n(A∩B)

The answer to the question states that set A's element count is four, whereas set B's element count is seven. We can thus write:

The number of elements that are included in both sets A and B is represented by the numbers n (A) = 4 and n (B) = 7.

The maximum number of elements in n(A,B) must be determined. Therefore, when n(AB) is smallest and when n(AB) is zero, n(AB) is at its maximum.

n(A∪B)=n(A)+n(B)−n(A∩B)⇒n(A∪B)=4+7−0⇒n(A∪B)=11

Hence, the maximum number of elements in A∪B is 11.

You might be asking why n (AB) must be minimized in order to be maximized, and why the minimal value of n (AB) is 0.

In the formula for n (A∪B),

n(A∪B)=n(A)+n(B)−n(A∩B)

L.H.S will be maximized when in the R.H.S; the term after minus sign will be minimized. Hence, n (A∩B) must be minimized.

The fact that n (AB) can take on any value less than 0 indicates that there are no elements in sets A or B that are shared by both sets. Furthermore, it's possible that the two sets we have don't share any elements.

When no elements is common in both the sets, the n (A∩B) is ∅.

The set which has no element in it is called a null set or an empty set.

By this we can find maximum value in a set.

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In First Case Service fee is $0.95 , In Second Case The ticket price = $28 , In Third Case Ticket price = $45, Service Fee = $2.25

According to the given information

In First Case

We are given

The Ticket price is = $19

Service fee is 5% of ticket price

19 × 5% = 0.95

Service fee is $0.95

Total Cost including service fee is $19.95

In Second Case

We are given

Service fee = $1.4

The ticket price = 1.4 ÷ 5%

                          = $28

Total Cost including service fee is $29.4

In Third Case

Total Cost including service fee is $47.25

Ticket price = 47.25 ÷ ( 1 + 5% )

                    = $45

Service Fee = 45 × 5%

                    = $2.25

In First Case Service fee is $0.95 , In Second Case The ticket price = $28 , In Third Case Ticket price = $45, Service Fee = $2.25

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After solving, she is 25 years old.

In the given question,

When he asked her age, She replied "If you take my age and square it and then subtract 22 time my age then the result is 75"

We have to find the age of she.

To find the age of she we we firstly simplify the given statement in the form of expression then we solve the expression.

To write the expression we clearly read then sentence and then write the expression.

Let the age of she is x.

So When we take the square of her age, it is x^2.

When we subtract 22 times her age then it is x^2-22x.

Then its is equal to the 75. Now the expression is;

x^2-22x=75

Subtract 75 on both side, we get

x^2-22x-75=0

Now we simplifying the equation by factoring it.

x^2-(25-3)x-75=0

x^2-25x+3x-75=0

x(x-25)+3(x-25)=0

(x+3)(x-25)=0

Now the factor of x is -3 and 25.

Age can not be negative. So the age of she is 25.

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The right question is;

When he asked her age, She replied "If you take my age and square it and then subtract 22 time my age then the result is 75"how old is she?

Answer:

yes

Step-by-step explanation:

2x+4=3x-2

4=x-2

6=x

x=6

Answer:

Yes, It equals 6.

Answer: 108×1000×425 |

Step-by-step explanation:

Step 1: Speed of the train=108km/h

- Time taken=6hrs25mins

- =6+25/60=6+041=6.41hrs

Step 2: Distance =speed X time

- =108X08×1000×425

Hope this helps!

Answer:

(i)The train takes 0625 hours to travel from Town A to Town B.

(ii)The distance between Town A and Town B is 693 km.

Step-by-step explanation:

(i)

Leaving time of the Train from Town A= 0845 hours.

Arriving time of the Train at Town B= 1510 hours.

Thus, the total time taken by the train to travel from Town A to Town B is:-

=> Arrival time at Town B - Departure time from Town B = (0845-1510)hours

                                                                                             = 0625 hours.

Therefore, the total time taken by the train to travel from Town A to Town B is 0625 hours.

(ii)

   The average speed of the train is 108 km/h.

   The total time taken by the train is 0625 hours, which can also be

expressed as

6 5/12 hours,

    We know that,

=> Distance = Speed X Time                 [Speed-Distance formulae]

                    = 108 X 6 5/12 => 693 km.

Therefore, the distance between Town A and Town B is 693 km.

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The mean of this sampling distribution is 1 cm, the standard deviation is 0.033, X-bar is called the sampling distribution of the sample mean

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance.

The bigger the deviation within the data collection, the more the data points deviate from the mean; hence, the higher the standard deviation, the more dispersed the data.

Processor chips = 35

Let the x-bar be the sample mean

x-bar = 1 mm

Size of the processor chips = 0.2 mm

n = 35

Standard deviation = Size of the processor chips/[tex]\sqrt{n}[/tex]

= 0.2/[tex]\sqrt{35}[/tex]

= 0.2/5.9160

= 0.033

Standard deviation = 0.033

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The required equation is $650 / 17.50 = 37$ to determine the number of months and the solution to the equation is 37.

To determine the number of months it will take Erik to save the $650, we need to find out how many $17.50 increments are in $650. We can do this by dividing $650 by $17.50. This gives us 37.142. Since Erik can only save in whole dollar amounts, we can round this number down to 37.

Thus, the equation we are looking for is $650 / 17.50 = 37$, where the left side of the equation represents the total amount of money Erik wants to save, divided by the amount of money Erik saves each month. The right side of the equation represents the number of months it will take Erik to save the $650.

Therefore, we can fill in the blanks as follows:

Blank 1: $650 / 17.50 = 37$

Blank 2: 37

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Answer:

Class 1

Mean 78.83

Median 88

Mode 90

Class 2

Mean 79.42

Median 85.5

Mode 90

Class 3

Mean 79.42

Median 78

Mode 75 and 80

The line of fit for the coordinate points (1960, 23) and (2000, 32) is y=9/40 x+418.

The given coordinates are (1960, 23) and (2000, 32).

The line of best fit calculates a straight line that minimises the separation between itself and the locations of the observations in a given data collection. A trend or correlation between the dependent variable and the independent variable is depicted using the line of best fit (s). It can be expressed mathematically or graphically.

In the coordinate points (1960, 23) and (2000, 32)

In (1960, 23), 1960 is x-coordinate and 23 is y-coordinate

In ((2000, 32), 2000 is x-coordinate and 32 is y-coordinate

Here, Slope =(y2-y1)/(x2-x1)

= (32-23)/(2000-1960)

= 9/40

Substitute m=9/40 and (x, y)=(1960, 23) in y=mx+c, we get

23= 9/40 (1960)+c

23= 9×49+c

c=23-441=418

Substitute m=9/40 and c=418 in y=mx+c, we get

y=9/40 x+418

Hence, the line of fit for the coordinate points (1960, 23) and (2000, 32) is y=9/40 x+418.

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The inequality represents a number no more than 5 is n < 5.

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

We have to find which inequality represents a number no more than 5.

Consider, the first inequality n ≤ 5.

This inequality contain 5 and less numbers.

Consider the second inequality n ≥ 25

This inequality contain numbers 5 and more

For n > 5  

This inequality contain numbers more than 5.

For n < 5

This inequality does not contain number more than 5.

Hence, the inequality represents a number no more than 5 is n < 5.

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Answer:

A

Step-by-step explanation:

16 / a = x (+ r)

16 is the dividend

a is the divisor

x is the quotient

(r is the remainder, if the division is an integer division)

the smaller the divisor, the larger the quotient, of course. and vice versa.

remember, a division is the calculation how often the divisor fits into the dividend.

therefore, the smaller the divisor, the more often it fits into the dividend.

the quotient must be greater than 4. so, 4 itself is not a valid quotient for this problem.

but let's start with it :

16 / 4 = 4.

so, a = 4 (B) is not a valid solution.

to make the quotient larger (than 4), a must be smaller than 4.

the only valid solution is

A a = 2

except for C all other answer options are larger than 4 making the quotient smaller than 4.

and C is negative, which would make the quotient negative and therefore smaller than 4.

so, A is the only remaining valid answer.

16/2 = 8

perfect. the quotient (8) is larger than 4.

Answer: The are of square 3 is 9cm

the area of square = a^2

= 3 ^2 = 9

Step-by-step explanation:

Answer: $91017.17865 / 12 = $7585.5987

Step-by-step explanation:

To solve this problem, we need to first determine the total interest that will be earned on the account over the 5-year period. We can do this by using the formula for compound interest, which is:

A = P (1 + r/n) ^ nt

where A is the total amount of money in the account after the interest has been compounded, P is the initial deposit, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years the money is deposited.

In this case, the initial deposit is $10,000, the interest rate is 2.05%, the number of times the interest is compounded per year is 12 (because the interest is compounded monthly), and the number of years the money is deposited is 5. Plugging these values into the formula, we get:

A = 10000 (1 + 0.0205 / 12) ^ (12 * 5)

A = 10000 (1.001708333) ^ 60

A = 10000 (1.101717865)

A = 101017.17865

Therefore, the total amount of money in the account after 5 years will be $101017.17865.

Since Monica wants to save up $10,000, we can subtract this amount from the total amount in the account to find out how much she needs to deposit each month in order to reach her goal:

101017.17865 - 10000 = 91017.17865

Therefore, Monica needs to deposit $91017.17865 each month in order to save up $10,000 in 5 years. This means that she will need to deposit $91017.17865 / 12 = $7585.5987 per month in order to reach her goal.

The flux of the vector-field F = 4i + 4j + 1k across the surface S is 63/4. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 3x+2y+z = 3.

and given F = 4i + 4j + 1k

divG = div(3x+2y+z = 3) = 3i + 2j + k

Flux = ∫(4i + 4j + 1k) (3i + 2j + k) dA

φ = ∫ (12 + 8 + 1)dA

= 21∫dA

A = 1/2 XY (on the given x-y plane)

3x+2y =3

at x = 0, y = 3/2

y = 0, x = 1

1/2 (1*3/2) = 3/4

Therefore flux = 21*3/4 = 63/4

φ = 63/4.

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The [0.513,0.616] range is the 95% confidence interval for the percentage of all dies that pass the test.

Given,

Number of items inspected = 356

Number of items passed the test = 201

We have to calculate the 95% (two-sided) confidence interval for the proportion of all dies that pass the test;

Here,

p' = 201 / 356 = 0.56460

Now,

The 95% confidence interval for the percentage of all dies that pass the test;

p∈ [p' ± zα / 2√p' (1−p') / n]

p∈ [0.56460 ± 1.96 × √0.56460 (1 − 0.56460) 356]

p∈ [0.513, 0.616]

That is,

The 95% confidence interval for the percentage of all dies that pass the test is [0.513, 0.616]

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Answer:

y=6

Step-by-step explanation:

**THE ANSWER IS POSITIVE! WHAT I GOT WAS A NEGATIVE SINCE THE CLOSEST ANSWER WAS 6.**

Since 5 × -6 is -20, we would subtract that with the 10.

So, 10-5(-6) = -20.

*please let me know if this is correct or not!*

Expected number of defectives is 3.

What do you mean by probability?

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The likelihood or chance of an event happening is known as probability.

Probability =  (the number of ways of achieving success)/( the total number of possible outcomes)

It is given that there are total 50 computers and out of which 3 are defective. So , here atmost 3 can be  defective out of 7.So , out of 7 , one can be defevtive , 2 can be defective and 3 can be defective

Therefore, expected number of defectives is 3.

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Answer:

4

Step-by-step explanation:

[tex]\frac{-3}{4}[/tex] m - [tex]\frac{1}{2}[/tex] = 2 + [tex]\frac{1}{4}[/tex] m  Multiply each term by 4

-3m - 2 = 8 + m  Add 3m to both side

-2 =  8 + 4m  Subtract 8 from both sides

-10 = 4m  Divide both sides by 4

[tex]\frac{-5}{2}[/tex] = m

Functions are expressions, rules, or laws that specify the relationship between an independent variable and a dependent variable

Given,

A function;

An expression, rule, or regulation that establishes the connection between an independent variable and a dependent variable is known as a function (the dependent variable).

A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).

Examples for function are;

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The total amount they will pay = $95.557

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.

Cost of meal = $75.99

tax amount = 6.75% of 75.99

                   = ( 6.75/100 ) * 75.99

                   = $5.129

Tip amount = 19% of 75.99

                   = (19/100)*75.99

                   =  $14.438

Total amount they will pay = $75.99 + $5.129 + $14.438 = $95.557

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Answer:-3 < x < 0

Step-by-step explanation:

A function that is used to find the maximum = MAX

We know that the MAX function in Excel returns the data's largest numeric value from a set of values.

MAX does not take into account empty cells, logical values TRUE and FALSE, or text values.

To find the  to find the maximum value in a set of values:

First select a cell below or to the right of the numbers you're looking for the smallest number for.

Then click the arrow next to AutoSum on the Home tab, in the Editing group, then click Min (calculates the smallest) or Max (calculates the largest), and then press ENTER.

MAX function is used to find the maximum.

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Answer: 3.1, 1, -0.5, -2.85, -3.04

Step-by-step explanation:

Answer: 3.1, 1, -0.5, -2.85, -3.04

Step-by-step explanation:

The reason it is like this is because 3.1 is greater than the negative numbers and 1 so that would put it in first.

The second would be 1 because it is greater than all of the negative numbers.

The third would be -0.5 because it is greater than the other negative numbers.

The fourth would be -2.85 because it is greater than the last negative number.

So the fifth number would be -3.04 because it is the last number there is.

Answer:

cant help if there's no question

Step-by-step explanation:

Answer:

6+15t

Step-by-step explanation:

3(2+5t)

3(2)+3(5t)

6+3(5t)

6+15t

Domain and range of a square root graph is  [0, ∞) and  [0, ∞) respectively.

Domain of a function:

The domain of a function is the set of input values (x) for which it produces an output value.

Range of a function:

The set of all output values of a function.

Like if we consider a function [tex]y = f(x)[/tex]

then input inside function that is x is know as domain of function

output of function that is y is known as range of function.

First we write square root function as y = [tex]\sqrt{x}[/tex]

So inside root negative numbers are not allowed so value of x should be positive numbers  means x>=0.

So domain of square root function [0, ∞).

Output of square root function is always positive so range of square root function is also [0,∞).

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