Jolyn's points per basketball game are normally distributed with a standard deviation of 7 points. If Jolyn scores 48 points, and the z-score of this value is 3, then what is her mean points in a game?

Answers

Answer 1

If Jolyn scores 48 points, and the z-score of this value is 3, then her mean points in this normally distributed game is equal to 27.

How to calculate the mean points?

In a normal distribution, the relative score or z-score can be calculated by using this formula:

[tex]z=\frac{x\;-\;u}{\sigma}[/tex]

Where:

x represents the sample score.u represents the mean point.σ represents the standard deviation.

Making mean (μ) the subject of formula, we have:

μ = x - zσ  x

Substituting the given parameters into the formula, we have;

Mean point, μ = 48 - (3 × 7)

Mean point, μ = 48 - 21

Mean point, μ = 27.

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Related Questions

Helppp it’s due tomorrow
……..

Answers

By using a trigonometric relation we will see that FD = 32, the correct option is C.

How to find the length FD?

We can see a right triangle, such that FD is the hypotenuse.

We also know one angle of this triangle, and the adjacent cathetus to that angle.

Now remember the relation:

cos(a) = (adjacent cathetus)/(hypotenuse)

Replacing the values we know we get:

cos(30°) = 28/hypotenuse

Solving the equation for the hypotenuse we get:

hypotenuse = 28/cos(30°) = 32.3

Rounding to the next whole number we get FD = 32

The correct option is C.

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Solve 2x2 + 20x + 8 = 0 by completing the square.

Answers

Answer:

x=−5+ 21 ,−5− 21

Step-by-step explanation:

x= 4−20+4= 214−20−4 =21

What do this mean on this work

Answers

Answer:

The answer should be 13.928

Step-by-step explanation:

You do A square + B square = C square

Mr. Dunston and Mr. Dolland spent $45 all
together. Mr. Dunston and Ms. Campbell
spent $65 all together. If Ms. Campbell spent
3 times as much as Mr. Dolland, how much
did Mr. Dunston spend?

Answers

The money spent by Mr. Dunston is $ 35.

Given that:-

Money spent by Mr. Dunston and Mr. Dolland = $ 45

Money spent by Mr. Dunston and Ms. Campbell = $ 65

Ms. Campbell spent 3 times as much as Mr. Dolland.

We have to find the money spent by Mr. Dunston.

Let the money spent by Mr. Dunston be $ x,

Let the money spent by Mr. Dolland be $ y and,

Let the money spent by Ms. Campbell be $ 3y

Hence, from the data given in the question, we can write,

x + y = 45  ...(1)

x + 3y = 65 ... (2)

By elimination method, we can write,

(2) - (1)

2y = 20

y = 10

x + 10 = 45

x = 45 - 10 = 35

x = 35

Hence, the money spent by Mr. Dunston is $ 35.

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One year, the population of a city was 181,000. Several years later it was 150,230. Find the percent decrease.

Answers

The percentage decrease in population is 17%

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply it by 100. percentage . The word per cent means per 100. It is represented by the symbol “%”.

percentage decrease in population= (0riginal population- new population)÷ original population × 100

%decrease in population = (181000 - 150230) ÷ 181000× 100

=( 307770×100)/181000

= 17%

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17%

Step-by-step explanation:

i tried it it worked

Cassidy has $425 in her savings account, and she has to pay $5 each month to her parents for her cell phone. Calvin has $95 and he saves $25 each month from his job walking dogs for his neighbor. At this rate, when will Cassidy and Calvin have the same amount of money? How much will they each have?

Answers

Cassidy and Calvin have the same amount of money in 11 months.

The amount is $370.

How to illustrate the equation?

Cassidy has $425 in her savings account, and she has to pay $5 each month to her parents for her cell phone. This will be:

= 425 - 5m

Calvin has $95 and he saves $25 each month from his job walking dogs for his neighbor. This will be:

= 95 + 25m

where m = number of months

The equation will be:

425 - 5m = 95 + 25m

Collect like terms

425 - 95 = 25m + 5m

330 = 30m

Divide

m= 330/30

m = 11

The number of months is 11.

The amount will be:

= 425 - 5m

= 425 - 5(11)

= 425 - 55.

= 370

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Question 4
Simplify the expression: (7x + 2)²
A 49x² + 4
B 49x² + 28x + 4
C 49x² - 4
D 25x² + 9

Answers

Answer:

B

Step-by-step explanation:

(7x+2)(7x+2)

7x×7x=49

7x×2+2×7x=28x

2x2=4

Which expression is equivalent to 5x - 5x + 3x - 3x?

Answers

Answer:

0

Step-by-step explanation:

subtracting same numbers give you zero

Fill in the table using the function rule y=5x-2

Answers

The table has been shown using the function rule y = 5x - 2. (Refer to the table attached below).

What is the function rule?The relationship between the input or domain and the output or range is known as the function rule. If and only if there is a single value in the range for each domain value, a relation is a function.When the provided input values are applied, the function rule y = 2 x + 4 produces the output values displayed in the table. Now, the output numbers " are represented by and the input values are represented by. Consequently, the expression f (x) = 3 x + 1 can be used to represent the function rule y = 3 x + 1.

So, the rule is y = 5x - 2:

Now calculate values as follows:

(A) When x = 0:

y = 0 - 2y = - 2

(B) When x = 1:

y = 5 - 2y = 3

(C) When x = 2:

y = 10 - 2y = 8

(D) When x = 3:

y = 15 - 2y = 13

Therefore, the table has been shown using the function rule y = 5x - 2. (Refer to the table attached below)

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Current Attempt in Progress
Monty Corp. purchased a new machine on October 1, 2022, at a cost of $124,000. The company estimated that the machine will have
a salvage value of $15,000. The machine is expected to be used for 10,000 working hours during its 5-year life.
(a)
Compute the depreciation expense under straight-line method for 2022.
Depreciation expense $
2022

Answers

The depreciation expense under the straight-line method for 2022, for Monty Corp., is $5,450.

What is the straight-line depreciation method?

Under the straight-line depreciation method, one of the cost-recovery methods, the depreciable amount of an asset is divided by its estimated useful life.

The quotient is the depreciation expense for each year.  However, if the asset is not used for a full year, the depreciation expense is prorated according to the number of months or days that the asset is in use.

Note that the depreciable amount is the difference between the cost of the asset and its salvage value.

Cost of new machine = $124,000

Purchase date = October 1, 2022

Estimated salvage value = $15,000

Depreciable amount = $109,000 ($124,000 - $15,000)

Estimated useful life = 5 years

Estimated working hours = 10,000 hours

Depreciation method = Straight-line

Annual Depreciation Expense = $21,800 ($109,000/5)

October 1, 2022, to December 31, 2022, = 3 months

Depreciation expense for 2022 = $5,450 ($21,800 x 3/12)

Thus, using the straight-line method, Monty Corp. will record a depreciation expense of $5,450 for the new machine it purchased on October 1, 2022.

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Kevin has $97,800 in a savings account that earns 2% interest per year. The interest is not
compounded. How much will he have in total in 4 months?

Answers

So you would do I=P times R times T

solve the following inequality
x³-5x² < 4x-20

Answers

The final solution is all the values that make (x+5) (x+2) (x−2)=0 true.

x = −5,−2,2

What is factorization?

Factorization, also known as factoring, is the process of breaking down an object (such as a number, a matrix, or a polynomial) into a product of another object, or factors, which when multiplied together yield the original object (such as the number or matrix) in question.

What is inequality?

A relationship between two expressions or values that are not equal to each other is called an inequality.

Here, we have

Factor out the greatest common factor from each group

x²(x+5) - 4(x+5) = 0

Factor the polynomial by factoring out the greatest common factor, (x+5)

(x+5)(x²-4) = 0

Rewrite 4 as 2².

(x+5)(x²-2²) = 0

(x+5)(x+2)(x-2) = 0

Now,

x+5 = 0

x-2 = 0

x+2 = 0

set x+5 =0 then we get

x = -5

set x+2 =0 then we get

x = -2

set x-2 =0 then we get

x = 2

Hence, the final solution is all the values that make (x+5) (x+2) (x−2)=0 true.

x = −5,−2,2

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the cost of 2kg carrots is £7 work out the cost of 5kg carrots.

Answers

2kg = £7
So 1kg = £3.5
So 5kg is 17.5

Is there a proportional relationship between the area and radius of a circle? Explain.

Answers

The area of any circle is directly proportional to the square of the radius thus there are proportional relationships between the area of a circle and to the radius of the circle.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

The area of a circle with radius "r" is given as,

A = πr²

Since,π = constant.

Removing constant by proportionality.

A ∝ r²

Hence "The area of any circle is directly proportional to the square of the radius thus there are proportional relationships between the area of a circle and to the radius of the circle".

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Use technology to obtain approximate solutions graphically. All solutions should be accurate to one decimal place. (Zoom in for improved accuracy.)
Find the intersection of the line through (0, 1) and (4.3, 2) and the line through (2.1, 3) and (5.4, 0).
(x, y) =

Answers

Answer:

  (x, y) ≈ (3.4, 1.8)

Step-by-step explanation:

You want the point of intersection of the lines through (0, 1), (4.3, 2) and (2.1, 3), (5.4, 0).

Graph

The first attachment shows a graph of the lines and the coordinates of the point of intersection. The solution is ...

  (x, y) ≈ (3.42, 1.8)

  (x, y) = (3.4, 1.8) . . . . accurate to 1 decimal place

__

Additional comment

For each pair of points, the equation of the line can be written as ...

  (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0

  (2 -1)(x -0) -(4.3 -0)(y -1) = 0   ⇒   x -4.3y +4.3 = 0

and

  (0 -3)(x -2.1) -(5.4 -2.1)(y -3) = 0   ⇒   -3x -3.3y +16.2 = 0

The calculator result in the second attachment shows the exact solution to be ...

  (x, y) = (3 229/540, 1 43/54) ≈ (3.42407, 1.79630)

Finding missing side length given two similar triangles

Answers

Value of BC is 36  in triangle's similarity .

What is  the triangle's similarity?

If one of the following conditions is satisfied by two triangles, they are comparable. There is equality between two sets of matching angles. It is proportionate to have three sets of comparable sides. In addition to being proportional and having equal corresponding angles, two pairs of corresponding sides are also identical.

ΔABC and ΔPQR are similar .

so all sides are equal in ratio .

let BC is x .

 AB/BC = PQ/QR

 18/x = 2/4

    18 * 4 = 2 * x

       x = 18 * 4/2

        x = 18 * 2

         x = 36

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Use the product-to-sum identities to rewrite the following expression as a sum or difference.

2sin(2x)sin(2x)

Answers

The sum form of the trigonometric function 2 · sin 2x · sin 2x by product-to-sum formula is 1 - cos 4x.

How to transform a product of trigonometric functions into a sum of trigonometric functions

Herein we find the definition of a trigonometric function defined as a product of trigonometric function, this can be transformed into a sum of trigonometric functions by means of the following product-to-sum formula:

sin α · sin β = [cos (α - β) - cos (α + β)] / 2

First, write the trigonometric function defined in the statement:

2 · sin 2x · sin 2x

Second, use the product-to-sum formula by considering α = β = 2 · x:

2 · [[cos (2x - 2x) - cos (2x + 2x)] / 2]

cos 0 - cos 4x

1 - cos 4x

Third, write the resulting expression:

2 · sin 2x · sin 2x = 1 - cos 4x

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What is the sum -10 + (-9) + (-8) + ... + 9 + 10 +11 + 12?

Answers

Answer:

23

Step-by-step explanation:

the numbers from -10 to 10 cancel out, so all that is left is 11+12=23

Find a formula for the nth term in this
arithmetic sequence:
a1 = 9, a2 = 13, a3 = 17, a4 = 21, ...
an =?n+

Answers

Answer: an=4n+5

Step-by-step explanation:

a1 = 9, a2 = 13, a3 = 17, a4 = 21, ...

A formula for the nth term of the arithmetic sequence:

                            [tex]a_n=a_1+d(n-1)[/tex]

where: a₁ - is the first term of the arithmetic sequence

            d - is the difference between the terms of the arithmetic sequence

d=a₂-a₁=a₃-a₂=a₄-a₃= ...

d=13-9=17-13=31-17= ...

d=4

             n - is the number of the arithmetic sequence term

[tex]a_n=9+4(n-1)\\\\a_n=9+4n-4\\\\a_n=4n+5[/tex]

The graph shows Derek’s pay compared to the hours he has worked.
What is Derek’s hourly rate of pay?

Charlie earns $52.25 in 5 hours of work. What is Charlie’s hourly rate of pay?
Who gets paid more per hour? How much more?

Answers

Answer:

Charlie gets paid more then Derek. Charlie gets paid per hour $52.25

The average December temperature in Salt Lake City, Utah is 10 degrees Farenheit. The actual December
temperture can vary in Salt Lake City by 5 degrees Farenheit either above or below the average. What is the
minimum temperature of Salt Lake City in December?

Answers

The minimum temperature in Salt Lake City in December is 5 degrees Fahrenheit.

The average December temperature in Salt Lake City, Utah, is 10 degrees Fahrenheit. The actual December temperature can vary in Salt Lake City by 5 degrees Fahrenheit either above or below the average.

We need to find out the minimum temperature in Salt Lake City in December. Let the temperature be denoted by the variable "M". The minimum temperature is the difference between the average temperature and the variation in the temperature.

M = 10 - 5

M = 5

Hence, the minimum temperature in Salt Lake City in December is 5 degrees Fahrenheit.

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If f(x) = 4x² and g(x)=3x, what is (fg)(x)?
(fg)(x)=
(Simplify your answer.)

Answers

The multiplication of the given function is  (fg)(x) = 12[tex]x^3[/tex]

What is operations of the function ?

   Similar to how a function's constituent terms can be added, subtracted, multiplied, and divided, so can functions. These are to be noted as follows:

Addition f( x ) + g ( x ) means to combine two functions, and it may alternatively be expressed as ( f + g ) ( x )

It is possible to write ( f g ) ( x ) to represent the operation of subtracting the g(x) function from the f(x) function.

The two functions are multiplied together when you multiply f (x ) g (x), which can also be represented as (f g ) (x).

Division f (x)/g (x) means to split the two functions in half, and it can alternatively be expressed as (f/g)(x).

Here the given function ,

=> f(x) = 4[tex]x^2[/tex]

=> g(x)= 3x

Now (fg)(x) = f(x)*g(x)

=> (fg)(x)=  4[tex]x^2[/tex]*3x

=>  (fg)(x) = 12[tex]x^3[/tex]

Hence the  (fg)(x) = 12[tex]x^3[/tex].

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rita class has 14 girls and 16 boys how does the ratio 14:30 describe ritas class

Answers

Answer:

The ratio shows that there are 14 girls to 30 students in total

Step-by-step explanation:

14 + 16 = 30 that mean that there are 30 students in total, therefore, the ratio shows 14 girls : 30 students

4x + 10y = 2
x - 10y = 13

Answers

Answer:

x = 3

y = -1

Step-by-step explanation:

4x + 10y = 2        Eq. 1

 x  - 10y = 13       Eq. 2

The result of the sum of Eq. 1 and Eq. 2 is:

4x + x = 5x

10y - 10y = 0y = 0

2 + 13 = 15

Then the result is:

5x = 15

x = 15/5

x = 3

From Eq. 2:

x - 10y = 13

3 - 10y = 13

-10y = 13 - 3

-10y = 10

y = 10/-10

y = -1

Check:

From Eq. 1:

4x + 10y = 2

4*3 + 10*-1 = 2

12 - 10 = 2

The solution of the equation is that the value of x = 3 and y = -1.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The equation will be solved as,

4x + 10y = 2        Eq. 1

x  - 10y = 13       Eq. 2

The result of the sum of Eq. 1 and Eq. 2 is:

4x + x = 5x

10y - 10y = 0y = 0

2 + 13 = 15

Then the result is:

5x = 15

x = 15/5

x = 3

From Eq. 2:

x - 10y = 13

3 - 10y = 13

-10y = 13 - 3

-10y = 10

y = 10/-10

y = -1

Therefore, the solution of the equation is that the value of x = 3 and y = -1.

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help pleas now...............math

Answers

The value of q after solving the expression, q/3+2/3 = 8q/3-5/3, is 1.

According to the question,

We have the following expression:

q/3+2/3 = 8q/3-5/3

Now, taking 3 as the denominator on both the sides:

(q+2)/3 = (8q-5)/3

Now, 3 in the denominator on the left hand side can be divided by 3 in the denominator on the right hand side:

q+2 = 8q-5

Now, changing the sides of this expression:

8q-5 = q+2

Moving q from the right hand side to the left hand side:

8q-q-5 = 2

7q -5 = 2

Moving 5 from the left hand side to the right hand side:

7q = 2+5

7q = 7

q = 7/7

q = 1

Hence, the value of q after solving the given expression is 1.

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Mr.Marx has been in the journalism industry for 24 years. She has worked at her current job 8 of those years. What fraction of her career has she been at her current job? What is this fraction as a decimal?

Answers

Fraction of her career has she been at her current job is 1/3 or 0.333.

Given:

Mr.Marx has been in the journalism industry for 24 years.

She has worked at her current job 8 of those years.

Fraction = number of year in current job/number of years in journalism industry.

= 8 years/24 years

= 8/24

= 1/3 ≈ 0.333.

Therefore fraction of her career has she been at her current job is 1/3 or 0.333.

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Alan has 229 songs on a playlist. He's categorized them in the following manner: 11 rock, 21 Latin American, 46 gospel, 30 country, 39 rap, 25 classical, and 57 pop. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?

Answers

The probability of the event that the first song played by Alan is a rock song is 0.01.

What is probability

The probability of an event occurring is the ratio of the number of required outcome divided by the total number of possible outcomes. But the probability of an event say event "a" not occurring is 1 - a.

We shall calculate for the probability of the event that Alan's first song to be played is a rock song as follows:

probability of playing a rock song = 11/229

probability of not playing a Latin American song = 208/229

probability of not playing a gospel song = 183/229

probability of not playing a country song = 199/229

probability of not playing a rap song = 190/229

probability of not playing a classical song = 204/229

probability of not playing a pop song = 172/229

So,

The probability that the first song played is a rock song = (11/229) × (208/229) × (183/229) × (199/229) × (190/229) × (204/229) × (172/229)

The probability that the first song played is a rock song = 0.05 × 0.91 × 0.80 × 0.67 × 0.83 × 0.89 × 0.75

The probability that the first song played is a rock song = 0.01

Therefore the probability of the event that Alan's first song played is calculated to be 0.01 approximated to 2 decimal places.

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For each chart below, identify the output rule and classify the function as exponential, linear or neither.

Answers

The classification and the output rule for each function in this problem is given as follows:

1. Output rule: y = 5x + 11. Classification: Linear.

2. Output rule: y = 2^x. Classification: Exponential.

3. Output rule: y = 3 if |x| is even, y = 1 if |x| is odd. Classification: Neither.

What defines a linear function?

A linear function is defined when the increase of 1 in x result in the addition of a constant to y, hence the rule is:

y = mx + b.

In which:

m is the addition to y when x increases by one.b is the value of y when x = 0.

Hence, for the first table, as 5 is added to x when x increases by one, the rule is:

y = f(x) = 5x + 16.

What defines an exponential function?

An exponential function is defined when the increase of 1 in x result in the multiplication of a constant to y, hence the rule is:

y = a(b)^x.

In which:

b is the addition to y when x increases by one.a is the value of y when x = 0.

Hence, for the second table, the rule is:

y = 2^x.

For the third table, none of the definitions for linear and for exponential functions are true, hence the function is neither, as it is a piece-wise function that assumes one value for odd numbers and another for even numbers.

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Write a coordinate rule for the dilation.

Answers

Answer: 584390

Step-by-step explanation: the r4u819

Use Structure A shoe store buys packs of socks wholesale for $5 each and marks them up by 40%. The store decides to discount the packs of socks by 40%. Is the discounted price $5?



Multiple choice question.
cross out

A)
yes; The packs of socks are marked up to $7 and then discounted to $5.

cross out

B)
yes; The packs of socks are marked up to $9 and then discounted to $5.

cross out

C)
no; The packs of socks are marked up to $7 and then discounted to $4.20.

cross out

D)
no; The packs of socks are marked up to $5.20 and then discounted to $4.99.

Answers

The correct option regarding the price is C. no; The packs of socks are marked up to $7 and then discounted to $4.20.

How to calculate the price?

In this situation, a shoe store buys packs of socks wholesale for $5 each and marks them up by 40%. The price will be:

= Original price + Markup

= 5 + (40% × 5)

= 5 + 2

= $7

Then, the store decides to discount the packs of socks by 40%. This will give a price of:

= 7 - (40% × 7)

= 7 - 2.8

= $4.2

The price isn't discounted to $5.

In conclusion, the correct option is C.

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which is not one of the reasons the anti-imperial league gave for opposing the creation of an american empire? x/2=8/5what is x??? The sum of 3 and four times a number How to identify whether the word problem is about direct proportion, inverse proportion or partitive proportion? ____ 1. Many Texans had to rebuild their homes after a. prairie fires in 1839. b. they had been destroyed by military action during the Runaway Scrape. c. the floods of 1838. d. they were seized by the government for unpaid debts. ____ 2. Many immigrants came to Texas in the 1840s, encouraged by a. Mexico, who wanted to reduce the American influence there. b. the opportunity to get jobs in the major cities. c. the opportunity to go to war with Mexico. d. the prospect of better economic opportunities. ____ 3. Many settlers from the Lower South of the United States settled a. in East Texas and along the coast. b. on the Red River in the north. c. in the Rio Grande valley, where cotton would grow well. d. in the Hill Country, near Johnson City. ____ 4. Many Tejanos were forced to flee their homes after attacks by a. the Texas army. b. Cherokees, who wanted their land back. c. adventurers, or new immigrants from the United States. d. small detachments of the Mexican army, who crossed the border at night. ____ 5. Many of those who founded new towns in Texas were a. ranchers, who wanted stores and services nearby. b. speculators in land, who hoped to become wealthy. c. Tejanos, who wanted to build Spanish-speaking communities. d. illegal immigrants from the United States. in the endosymbiotic theory, it is proposed that mitochondria evolved from the endocytosis of what type of prokaryote? true or false? having more billing owners makes it easier for a company to manage its technology stack or platform. forces and newtons laws 3.1 Essential Questions How are force and motion related? cassius: and why should caesar be a tyrant then? poor man! i know he would not be a wolf but that he sees the romans are but sheep. he were no lion were not romans hinds. those that with haste will make a mighty fire begin it with weak straws. what trash is rome. which statement best explains the figurative language in the bolded lines? Which play borders the philippine plate What do you need to multiply the subtotal by in order to get the total? Given: Subtotal: 42.00Total: 45.99Tax rate: 9.5%Sales tax: $3.99 help pls its due today thank you you manage an azure resource group named rg-global for your organization. the corporate billing department asks you for cost and consumption data from rg-global. you associate the appropriate taxonomic tags with the rg-global resource group. what other action is required? 1. (a) What does probability convey about an event'soccurrence? (b) What is the probability of arandom event based on? Select the correct answer.Which set of absolute values is compared correctly?A. -71 student enrollment at a local school is concerning because the number of student has dropped to 504, which is 20% decrease from the previous year. what was the student enrollment the previous year? Select the correct answer.Roy wrote the following research question:"How can playing video games improve socialization in teens?"Look at the bulleted list from an article Roy is thinking about using as a source.Why Video Games Can Be Good For You:Video games may slow down agingVideo games sharpen your decision-making skillsVideo games can improve your ability to collaborate with othersVideo games can make you become more sociableBased on the information in the bulleted list, should Roy consider using the article in his research? A. No, because there is not enough information in the list to make a connection to Roy's research. B. No, because the information in the bulleted list could be biased. C. Yes, because the items contain key words and ideas from Roy's research question. D. Yes, because all items in the list pose playing video games as something positive. v+8w=4v,for v-m+5n=-2, for n The sum of two odd consecutive integers is 88. Find the integers. a frustum is made by removing a small cone from a similar large cone. The height of the small cone is quarter of the height of the large cone. Find the volume of the frustum.Height of large cone =12radius of large cone =6