WILL GIVE THE BRAINLIEST. PLEASE HELP.

WILL GIVE THE BRAINLIEST. PLEASE HELP.

Answers

Answer 1

Answer:

300 miles.

Step-by-step explanation:

Distance = Rate * Time

We know the rate, 80 miles per hour.

We know the time, 3.75 hours.

As these use the same time unit, hours, we don't need to change any values.

We can just put these values into the formula:

[tex]d=r*t[/tex]

[tex]d=80*3.75=300[/tex]

Answer: 300 miles.

Answer 2
Your answer will be 300 miles

Related Questions

After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.) y = 32,000(1.08)x y = 32,000(0.08)x y = 34,560(1.08)x y = 34,560(0.08)x

Answers

Answer:

y = 32,000(1.08)^x

Step-by-step explanation:

The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.

In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)

If we plug these into the equation, we get the equation y = 32,000(1.08)^x

So, y = 32,000(1.08)^x is the correct answer.

Answer:

A

Step-by-step explanation:

on edge 2020

28.Neethi had 8
1
4
cups of flour and 3 liters of juice with her. She decided to make cupcakes and

distribute juice for her birthday.
a) A cupcake requires 3
4
cup of flour. How many cupcakes can she make?



Answers

Answer:

2 1/3 cupcakes

Step-by-step explanation:

A cupcake can make 3 four cups of flour

In 8 fourteen cups of flour, require (14 X 4)/(3 X 8) of cupcakes

  = 56/24 = 2 1/3 cupcakes

I DON'T WANT TO BE HOMESCHOOL I WANT REAL SCHOOL SO OPEN BACK UP

Answers

Answer:

I agree.

Step-by-step explanation:

Where I am, our parents had a choice, to chose whether they wanted us to go back to school or to do it online, and my grandma has me down for online, and I hate it so much.

answer these questions with Always,never it sometimes

An exterior angle of a triangle is equal to the sum of its adjacent angle and one remote interior angle

An isosceles triangle is an equilateral triangle

An equilateral triangle is an isosceles triangle

Answers

Answer:

sometimes. exterior angle of a triangle is equal to the sum two remote interior angles. But in a special case when the adjacent angle is equal to the remote interior angle, it is true

sometimes. Only when the isosceles triangle is equilateral

always. This is always true by definition.

PLEASE HELP Ruri is a 30-year-old math teacher. She has been informed that she is the winner of a grand prize for the lottery. She can choose either a one-time payment of $20 million or $5000 per week for the rest of her life. Which choice would most likely result in the greatest amount of winnings for Ruri? Explain your reasoning.

Answers

Answer:

$5,000 per week

Step-by-step explanation:

Ruri is a 30 year old female.

there are about 4 weeks per month

there are about 52 weeks per year

52*5000 = 260,000

She would get 260,000 per year and lets see how much she would have at 40.

260,000*10

at 40 she would have 2,600,000

2,600,000*10

at 50 she would have 26,000,000

at 50 she already has earned more money that the $20 million.

She should go with the $5000 per week if she would like more money.

If $x \geq 0$ and $y \geq 0$, how many lattice points does the line $y = -2x + 18$ pass through?

Answers

what does the question mean?

If a+8√5b = (8+√5)÷(8-√5) + (8-√5)÷(8+√5)

Answers

Answer:

3 or at least i think

Step-by-step explanation:

Answer:

a= 138/59 - 8√5b B=69√5/1180 - a√5/40

Step-by-step explanation:

yuh

Which of the following systems of linear equations has a solution of (-4,3)? 1. −4x+2y=22 −y=−3x−9 2. −4x+2y=22 y=−3x−9 3. −4x−2y=22 y=−3x−9 4. −4x−2y=22 −y=−3x−9

Answers

Hey there! I'm happy to help!

SYSTEM #1

-4x+2y=22

-y=-3x-9

We can multiply both sides of the second equation by -1 to see what y equals.

y=3x+9

We can substitute this value for y into the first equation and solve for x.

-4x+2(3x+9)=22

We use distributive property to undo the parentheses.

-4x+6x+18=22

We combine like terms.

2x+18=22

Subtract 18 from both sides.

2x=4

Divide both sides by 2.

x=2

Our x has to be -4 to be the correct answer, so this option is incorrect.

SYSTEM #2

-4x+2y=22

y=-3x-9

We plug this y value into the first equation to solve for x.

-4x+2(-3x-9)=22

We use distributive property to undo the parentheses.

-4x-6x-18=22

We combine like terms.

-10x-18=22

Add 18 to both sides.

-10x=40

x=-4

We have the correct x-value to be the answer, so let's find the y-value by plugging our x-value into one of the equations.

y=-3(-4)-9

y=12-9

y=3

So, the solution of this system of equations is (-4,3), so the correct answer is 2. -4x+2y=22, y=-3x-9

Have a wonderful day! :D

Find the slope and y-intercept of the line. y = x – 8

Answers

Answer:

y- intercept= -8

slope= 1

Step-by-step explanation:

Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.

Answer:

Y-intercept = -8

Slope = 1

Step-by-step explanation:

The Y-intercept is the constant or the integer in the equation.

So, the y-intercept is "-8".

The slope is the number with which "x" is multiplied with.

So, the slope is 1, because 'x' and '1x'  are similar; therefore the slope is 1.

Questions attached below ( *︾▽︾) Thanks for the help :)

Answers

Answer:

See below

Step-by-step explanation:

Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.

To create this equation we will need a regression calculator. The equation will be as follows.

y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )

(b) 2025 - 1900 = 126 years,

y = 0.125873(125) - 7.11916 = $ 8.614965

Minimum Wage : $ 8.614965

Attachment 2 : The rest of the problems can be solved similarly...

(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029

(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³

Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ

(b) 9.08292(1.09965)⁶⁰ = [tex]2713.27743\dots[/tex] ( About 2713 recommendations )


36. What is the solution to x+3 = -6?

HELP! answer if you can!​

Answers

Answer:

x = -9

Step-by-step explanation:

subtract 3 from both sides

x = -9

Answer:

x = -9

Step-by-step explanation:

x + 3 = -6

Subtract 3 from both sides.

x + 3 - 3 = -6 - 3

x = -9

What are the domain and range of the function? f(x)=−4x√x

Answers

Answer:

Domain x ≥ 0 Range y ≤ 0

Step-by-step explanation:

Answer:

[tex]Domain = \{x\,|\,x\geq 0\}[/tex]

[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]

Step-by-step explanation:

Notice that the Range of the function (x-values for which the function exists) is limited by the possible values of x inside the square root. For [tex]\sqrt{x}[/tex] to exist, x must be larger than or equal to zero ([tex]x\geq 0[/tex])

So this gives us the description for building the Domain (what is called "set builder notation":

[tex]Domain = \{x\,|\,x\geq 0\}[/tex]

Now for the Range, let's look into all the possible values that these  [tex]x\geq 0[/tex] values of x can render:

[tex]x\geq 0\\\sqrt{x} \geq 0\\x\,\sqrt{x} \geq 0[/tex]

but now, if we multiply both sides of the inequality by "-4", the direction of the inequality changes rendering;

[tex]-4\,x\,\sqrt{x} \leq 0[/tex]

Since these are the possible values of the "y-coordinate", then we right the Range in set builder notation as:

[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]

6. Find the focus for the parabola.
2x=(y+3)^2+14
Focus: (x,y) =

Answers

Answer:  Focus = (7.5, -3)

Step-by-step explanation:

The Vertex form of a horizontal parabola is: x = a(y - k)² + h   where

a is the vertical stretch; [tex]a=\frac{1}{4p}[/tex]p is the distance from the vertex to the focus(h, k) is the vertex

Rewrite the equation in Vertex form to identify a, h, & k:

2x = (y + 3)² + 14

[tex]x=\dfrac{(y+3)^2+14}{2}\\\\x=\dfrac{1}{2}(y+4)^2+7[/tex]

       Vertex: (h, k) = (7, -3)

         [tex]a=\dfrac{1}{2}[/tex]

Find p and then find the focus:  Focus = (h + p, k)

[tex]a=\dfrac{1}{4p}\quad \rightarrow \quad \dfrac{1}{2}=\dfrac{1}{4p}\quad \rightarrow \quad 4p=2\quad \rightarrow \quad p=\dfrac{2}{4}\quad \rightarrow p=\dfrac{1}{2}\\[/tex]

Focus: (7 + [tex]\frac{1}{2}[/tex] , -3) = (7.5, -3)

Mrs. Winthrop went to a store, spent half of her
money and then $ 10 more. She went to a
second store, spent half of her remaining money
and $ 10 more. But she then had no money left.
How much money did she have to begin with
when she went to the first store?

Answers

Answer:

Step-by-step explanation:

Ok so I go to the store

I spend X/2 - 10 and I'm left with x/2

Then I got to store 2 and spend x/2 - 10 again and now have no money left.

So

x/2-10=0

x/2=10

x=20

Before that, she had:

x/2-10=20

x/2=30

x=60

So she started out with $60

She has $60, to begin with when she went to the first store.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs arithmetic operations is called an arithmetic operator.

Operators let do basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

For example 4 + 2 = 6

Let she had x money before the second store.,

So x-x/2–10=0 => x = 20.

Let she had y money before the first store,

where x = y-y/2–10.

So y/2 = 20+10=30

⇒ y = 60

Hence, she has $60, to begin with when she went to the first store.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? X equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a 6 42 57 105

Answers

Answer:

The value of r is 105

Step-by-step explanation:

Quadratic equation helps us to solve any quadratic equation. The formula is:

(-b ± √b² - 4ac) ÷ 2a

For the quadratic equation ax²+bx+c

For the equation: X² - 9x - 6:

a = 1, b = -9 and c = -6

Replacing in the quadratic formula:

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

That means, the value of r is 105

Answer:

105 is right

Step-by-step explanation:

I took the test

mister Limbu bought a bicycle for Rs2500 and he labelled it's price 20 Percent above the cost price if he allows 10percent disc


























ount to a customer, find his profit percent ​

Answers

Answer:  8%

Step-by-step explanation:

Purchase Price is $2500

Ticket Price is $2500(1 + 20%)

                     = $2500(1.2)

                     = $3000

Discounted Price is $3000(1 - 10%)

                             = $3000(0.9)

                             = $2700

The profit made is $2700 - $2500 = $200

Profit Percentage is Profit ÷ Purchase Price: [tex]\dfrac{200}{2500}=0.8=\large\boxed{8\%}[/tex]

                             

Double a number decreased by 25.6 is equal to 90 Find the number

Answers

Answer:

Step-by-step explanation:

2x-25,6=90

2x=90+25,6

2x=115,6

x=57,8

Answer:

The number is 57.8

Step-by-step explanation:

Let x = number

2x -25.6 = 90

Add 25.6 to each side

2x-25.6 +25.6 = 90+25.6

2x=115.6

Divide by 2

2x/2 =115.6/2

x =57.8

What is the value of x ?

Answers

Answer:

x = 3

Step-by-step explanation:

Given two secants drawn from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

x(x + 21) = (x + 1)(x + 1 + 14)

x² + 21x = (x + 1)(x + 15) ← expand using FOIL

x² + 21x = x² + 16x + 15 ( subtract x² + 16x from both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(x - y) + 2y + x3, when x = -3 and y=7
plss help​

Answers

-5 is the answer (or at least I think its is..) since x = -3 and y = 7, thus it will become (-3 - 7) + 2(7) + 3(-3)
That is really hard

after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount​

Answers

Answer:

Marked price= RS 1600

Discount= RS 80

Step-by-step explanation:

Let

x= the marked price

Discount= 5%

Discount = 5% of x

=0.05x

Cost after discount = x-0.05x

= 0.95x

Vat=10%

=0.1

Cost of the radio including vat=0.95x + 0.1(0.95x)

=0.95x + 0.095x

=1.045x

Price became rs 1672

Therefore,

1.045x=1672

Divide both sides by 1.045

x= RS 1600

Discount=5% of 1600

=0.05 * 1600

=rs 80

Sagan scored 1200 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 980 and standard deviation 100. Andrea scored 27 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 20 and standard deviation 5. Who performed better on the standardized exams and why? Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was a 1200, which is greater than Andrea's score of 27. Andrea scored higher than Sagan. Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Sagan's standardized score of 2.2 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was 220 points above the mean of 980, and Andrea's was 7 points above the mean of 20. Andrea scored higher than Sagan. Andrea is only 9 points from the top score of 36 on the ACT, and Sagan is 400 points from the top score of 1600 on the SAT.

Answers

Answer:

A

Step-by-step explanation:

Option A is correct. Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations.

Answer: Correct

Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.

Step-by-step explanation: No clue:)

You want to build supports at each end of a table in the shape of a triangle. What type of triangle would you use to act as the supports: acute, right, or obtuse? Why?

Answers

Answer:

obtuse

Step-by-step explanation:

because obtuse triangle would provide more support that acute or right as its bigger.

The length, breadth ND height of box are 32 cm 16cm, 8cm.wht is the maxim length of the string that can be used to measure the sides of the box exactly

Answers

Answer:

8 cm

Step-by-step explanation:

The maximum length of the string will be the greatest common divisor of  32 , 16 , 8

32 = 2 * 2 * 2 * 2 * 2

16 = 2 * 2 * 2 * 2

8 = 2 * 2 * 2

GCD = 2* 2 * 2 = 8

The maximum length of the string = 8 cm

*This Question Has 3 Questions in it
Question 1 Use a calculator to find [tex]\sqrt{61.6}[/tex] to the nearest hundredth.
Question 2 Which of the following statements is true?
Refer to Question 2 . PNG

Question 3 simplify [tex]\sqrt{0.81}[/tex]

Answers

Answer:

Ques 1: 7.85

Ques 2: both [tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex] are rational.

Ques 3: 0.9

Step-by-step explanation:

Ques 1:

Solving the [tex]\sqrt{61.6}[/tex], we get 7.8485.

Rounding off to nearest hundredth, we see that next digit is 8, so we increase the previous digit by 1.

So, the answer to nearest hundredth is 7.85.

Ques 2:

[tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex]to be checked  whether they are rational or irrational.

We know that [tex]\sqrt{16}[/tex] is equal to 4.

[tex]-\sqrt{16}[/tex] = -4 which is a rational value.

Let us solve [tex]\sqrt{0.25}[/tex] now.

[tex]\sqrt{0.25} = \sqrt{\dfrac{25}{100}}\\\Rightarrow \dfrac{5}{10}[/tex]

Which is a rational value.

So, both are rational.

Ques 3:

Simplify [tex]\sqrt{0.81}[/tex]

0.81 can be written as [tex]\frac{81}{100}[/tex] in rational form.

Now, taking the square root, we need to take the square root for both Numerator and Denominator and then we can divide to get the desired square root.

[tex]\sqrt{0.81} = \sqrt{\dfrac{81}{100}}\\\Rightarrow \dfrac{9}{10} = \bold{0.9}[/tex]

So, the answers are:

Ques 1: 7.85

Ques 2: both [tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex] are rational.

Ques 3: 0.9

MATH QUESTION: Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 times as much as the parsnips. How many pounds of turnips did Julie buy? Express your answer as a simplified mixed number.

Answers

Answer:

5 5/7

Step-by-step explanation:

Convert it to fractions:

30/7 and 4/3

Now multiply.

120/21

Simplify it:

5 5/7

I need major help quickly

Answers

Answer: Hi! The last answer is correct.

4(2) + 4 isn't equal to nine, so it doesn't make sense that Sadie could have scored 4 goals.

Hope this helped!

Answer:

the answer is the last one because if you do 4 times 2 and then add four it would add up to way more than 9.

Step-by-step explanation:

This system of linear inequalities can be used to find the possible heights, in inches, of Darius, d, and his brother William, w. d ≥ 36;w < 68;d ≤ 4 + 2w
Which statements must be true about their heights?

Answers

Answer:A,C,F

Step-by-step explanation:edge2020

Answer:

A,C,F

Step-by-step explanation:

.You deposit $200 in an account earning 3.5% simple interest. How long will it take for the
balance of the account to be $221?

Answers

Answer:

3 times the percent for the balance to be $221

Step-by-step explanation:

What is the value of 5^4/5^6

Answers

Answer:

1/25 or 0.04

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

5 to the 4th power (5 × 5 × 5 × 5) is 625.

5 to the 6th power (5 × 5 × 5 × 5 × 5 × 5) is 15625.

625/15625 = 0.04.

That's your answer!

Hope that helps and maybe earns a brainliest!

Have a great day! :)

A set of circular cups are placed so that they are touching rim to rim, as close together as possible. It is not possible to fit more cups inside the group if the longest straight line is five cups long, how many cups are there altogether?

Answers

Answer:

The total number of cups in arranged in an hexagonal area = 19 cups

Step-by-step explanation:

The pack the most circles within an area, the arrangement with the densest packing is the hexagonal lattice structure similar to the bee's honeycomb as has been proved Gauss and Fejes Toth.

Therefore, we pack the circles in an hexagonal lattice structure in an assumed hexagonal area where we have;

The longest straight line is five cups the next on either side are four cups and the final line on either side has three cups

The total number of cups = 3 + 4 + 5 + 4 + 3 = 19 cups

The total number of cups = 19 cups.

Other Questions
Corporation has found that % of its sales in any given month are credit sales, while the remainder are cash sales. Of the credit sales, Corporation has experienced the following collection pattern: 20% received in the month of the sale 40% received in the month after the sale 24% received two months after the sale 16% of the credit sales are never received November sales for last year were , while December sales were . Projected sales for the next three months are as follows: January sales. . . . . . . . . . . . . . . . $150,000 February sales. . . . . . . . . . . . . . . $130,000 March sales. . . . . . . . . . . . . . . . . $175,000 Requirement Prepare a cash collections budget for the first quarter, with a column for each month and for the quarter. (Round your answers to the nearest whole dollar.) Sweeney Corporation Cash Collections Budget For the Months of January through March January Cash sales Collections on credit sales: 20% Month of sale 40% Month after 24% Two months after Total cash collections Enter any number in the edit fields and then click Check An When the nuclide carbon-14 undergoes beta decay: The name of the product nuclide is . The symbol for the product nuclide is What is the issue with the work? It is wrong. Please answer this for points! Given the data: Ag2O(s), = 31.1 kJ mol-1, S = +121.3 J mol-1 K-1 Ag(s), = 0.00 kJ mol-1, S = +42.55 J mol-1 K-1 O2(g), = 0.00 kJ mol-1, S = +205.0 J mol-1 K-1 Calculate the temperature at which = 0 for the reaction, Ag2O(s) 2 Ag(s) + O2(g). Assume that, since the physical states do not change, and are independent of temperature between 50.0 C and 950.0 C. Name four breeds of cattle An octagonal pyramid ... how many faces are there, how many vertices and how many edges? A triangular prism ... how many faces are there, how many vertices and how many edges? a triangular pyramid ... how many faces are there, how many vertices and how many edges? A sample of 36 observations is selected from one population with a population standard deviation of 4.2. The sample mean is 101.5. A sample of 50 observations is selected from a second population with a population standard deviation of 5.0. The sample mean is 100.1. Conduct the following test of hypothesis using the 0.10 significance level.H0 : 1 = 2H1 : 1 2a.This is a_________tailed test.b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)The decision rule is to reject H0 if z is ___________the interval.c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic d. What is your decision regarding H0?e. What is the p-value? (Round your answer to 4 decimal places.) g The electronic structure of which ONE of the following species cannot be adequately described by a single Lewis formula? (In other words, the electronic structure of which one can only be described by drawing two or more resonance structures?) A) C2H4 B) SO3 2 C) SO3 D) C3H8 E) HCN Abigail obtained 18.9 grams of calcium carbonate after performing a reaction. From her calculations, she knew she should have obtained 9.9 grams. What was her percent error? Round your answer to one place behind the decimal. Do not include the unit. A student lab group is brainstorming the design of an experiment that uses an ammeter (measures current) and different resistors to determine the effect of the resistance of a resistor upon the current in a simple circuit. Which Post-it note describes the most effective design?Put a 10.0-ohm resistor in the circuit. Measure the current in the circuit. Replace the 10.0-ohm resistor with a 20.0-ohm resistor. Measure the new current. Continue replacing the resistor with a different resistor of known resistance. Measure the current for each resistor. Record all data. Put a 10.0-ohm resistor in the circuit. Measure the current in the circuit. Move the ammeter to a different location in the circuit. Measure the current at this new location. Continue moving the ammeter to different locations within the circuit but be careful to keep the resistor in a fixed location. Measure and record all current values. Obtain a variety of batteries and build several circuits. Make sure that each circuit has at least one resistor and make sure that the resistance values are different in the different circuits. Place various ammeters in each circuit. Measure the number of batteries and the current for each of the circuits. Record the resistance values used in each of these circuits. Put a 10.0-ohm resistor in a circuit with a single D-cell. Measure the current in the circuit. Add a second D-cell and measure the current with two D-cells. Repeat trials for three, four, and five D-cells, being careful to get accurate current measurements for a fixed amount of resistance in each trial. I'm really confused with this plz help Question 5 of 10How did the English colonists profit from the slave trade?A. They sold the slaves to the colonies of other countries.B. They used slave labor to produce cash crops.C. They put well-trained slaves in their armies.D. They traded slaves to the natives for supplies. Reread "Our Backyard Is 85 Million Acres." Which options support the author's choice of using a proposition-and-support structure to develop his argument? A study of 25 graduates of four-year public colleges revealed the mean amount owed by a student in student loans was $55,051. The standard deviation of the sample was $7,568.Required:a. Construct a 90% confidence interval for the population mean.b. Confidence interval for the population men between _______ up to_______________ analyze how an American identity developed in New England in the 17th century what recent major breakthroughs are attributed to engineers in improving the quality of our everyday lives? Lydia drives from city a to city b to transport goods. her return speed is 3 times her departure speed and she takes 40 minutes less on her return trip. how long did her departure trip take? What was notable about the Velvet Revolution in Czechoslovakia? Select two options.It was provoked by union strikes.The protest leader initially opposed it.The protests were largely nonviolent.It began suddenly with mass protests.The communist leader resigned peacefully. Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)=-2cos^(2)x World Class Rings produces class rings. Its best-selling model has a direct materials standard of 16 grams of a special alloy per ring. This special alloy has a standard cost of $63.30 per gram. In the past month, the company purchased 16,800 grams of this alloy at a total cost of $1,061,760. A total of 16,300 grams were used last month to produce 1,000 rings. Requirements: 1. What is the actual cost per gram of the special alloy that World Class Rings purchased last month? (Round your answer to the nearest cent.) The actual cost per gram of the special alloy that World Class Rings purchased last month is $_____. 2. What is the direct material price variance? (Abbreviations used: DM = Direct materials) Begin by determining the formula for the price variance, then compute the price variance for direct materials. 3.What is the direct material quantity variance? (Abbreviations used: DM = Direct materials) Determine the formula for the quantity variance, then compute the quantity variance for direct materials. 4. How might the direct material price variance for the company last month be causing the direct material quantity variance? The_____direct material price variance might mean that World Class Rings purchased a______. As a result, the company______quantity (efficiency) variance alloy than the standard allows. This accounts for the_____quantity (efficiency) variance.