1. Find the missing side length.


Can someone please help??? I'll give extra points!!
And mark as brainliest. PLEASEEEE!!!

1. Find The Missing Side Length.Can Someone Please Help??? I'll Give Extra Points!!And Mark As Brainliest.

Answers

Answer 1

Answer:

Therefore the missing length is AC = 24.46 units

Step-by-step explanation:

Consider a Δ ABC with

∠ B = 43°

AB = c = 18

BC = a = 8

To Find:

AC = c = ?

Solution:

We know in a Triangle Cosine Rule Says that,

[tex]b^{2} =c^{2}+ a^{2}-2\times a\times c\times \cos B[/tex]

Substituting the given values in above formula we get

[tex]b^{2} =18^{2}+ 8^{2}-2\times 8\times 18\times \cos 43\\\\b^{2} =324+64+288\times 0.7313\\\\b^{2} =598.6144\\\\Squaare\ Rooting\\\therefore b = 24.46\ units[/tex]

Therefore the missing length is AC = 24.46 units

1. Find The Missing Side Length.Can Someone Please Help??? I'll Give Extra Points!!And Mark As Brainliest.
Answer 2

Answer:

13.32

Step-by-step explanation:

if the missing side length is b,

1.)  b^2 = 18^2 + 8^2 - 2(8)(18)(cos43)

2.)  b^2 = 177.3701

then take square root of 177.3701

3.)  √(b^2) = √(177.3701)

4.)  b = 13.32

see ya have a good day


Related Questions

the midpoint is AB is M(3,-2). One endpoint is A(7,-9). Find the coordinates of the other endpoint B.

Answers

Final answer:

To find the coordinates of the other endpoint B given the midpoint M and one endpoint A. Apply the midpoint formula and solve the equations to find the coordinates of B(-1, 5).

Explanation:

The midpoint coordinates are given as M(3, -2) and one endpoint is given as A(7, -9). To find the coordinates of the other endpoint, we can use the midpoint formula which states that the coordinates of the midpoint are the average of the coordinates of the two endpoints.

Let the coordinates of the other endpoint be B(x, y). Using the midpoint formula, we have:

[(x + 7) / 2, (y + -9) / 2] = (3, -2)

Simplifying the equation, we get:

(x + 7) / 2 = 3

(y - 9) / 2 = -2

Multiplying both sides by 2, we have:

x + 7 = 6

y - 9 = -4

Subtracting 7 from both sides, we get:

x = -1

Subtracting -9 from both sides, we get:

y = 5

Therefore, the coordinates of the other endpoint are B(-1, 5).

5/6 ÷2/7 divide the fraction

Answers

Answer:

35/ 12

Step-by-step explanation:

5/6 divided by 2/7

= 5/6 x 7/2

= 35/ 12

A candy store sells caramels and milk chocolate by the pound the table below shows the total cost in dollars for a pound of each type of candy the store sells

Caramels: $10.28
Milk Chocolate: $13.85

How much more is the cost for 1 3/4 pounds of milk chocolate than the cost for 1 3/4 pounds of caramels?

Answers

The cost of [tex]1\frac{3}{4}[/tex] pounds chocolate milk is $6.25 more than the cost of [tex]1\frac{3}{4}[/tex] pounds of Caramel.

Step-by-step explanation:

Given,

Cost of one pound of Caramels = $10.28

Cost of [tex]1\frac{3}{4}[/tex] pounds of Caramel = [tex]10.28*1\frac{3}{4}[/tex]

Cost of [tex]1\frac{3}{4}[/tex] pounds = [tex]10.28*\frac{7}{4}=\frac{71.96}{4}= \$17.99[/tex]

Cost of one pound of chocolate milk = $13.85

Cost of [tex]1\frac{3}{4}[/tex] pounds = [tex]13.85*1\frac{3}{4}=13.85*\frac{7}{4}[/tex]

Cost of [tex]1\frac{3}{4}[/tex] pounds = [tex]\frac{96.95}{4}=\$24.24[/tex]

Difference = 24.24 - 17.99 = $6.25

The cost of [tex]1\frac{3}{4}[/tex] pounds chocolate milk is $6.25 more than the cost of [tex]1\frac{3}{4}[/tex] pounds of Caramel.

Keywords: difference, multiplication

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Final answer:

The cost for 1 3/4 pounds of milk chocolate is $6.25 more than the cost for 1 3/4 pounds of caramels, after calculating the total cost of each based on their per pound price.

Explanation:

To find out how much more the cost for 1 3/4 pounds of milk chocolate is than the cost for 1 3/4 pounds of caramels, we first need to calculate the cost of 1 3/4 pounds of each type of candy. Since the cost per pound of caramels is $10.28 and the cost per pound of milk chocolate is $13.85, we can set up our calculations as follows:

Total cost of caramels = 1.75 (pounds) * $10.28 (per pound) = $17.99

Total cost of milk chocolate = 1.75 (pounds) * $13.85 (per pound) = $24.24

Now, we subtract the total cost of caramels from the total cost of milk chocolate to find the difference:

Cost difference = $24.24 - $17.99 = $6.25

So, the cost for 1 3/4 pounds of milk chocolate is $6.25 more than the cost for 1 3/4 pounds of caramels.

Solve for x
Y= 0.39(8x+30)

Answers

Answer:

[tex]\large\boxed{x=\dfrac{50y-585}{156}}[/tex]

Step-by-step explanation:

[tex]y=0.39(8x+30)\qquad\text{use the distributive propety}\\\\y=(0.39)(8x)+(0.39)(30)\\\\y=3.12x+11.7\qquad\text{multiply both sides by 100}\\\\100y=312x+1170\qquad\text{subtract 1170 from both sides}\\\\100y-1170=312x\qquad\text{divide both sides by 312}\\\\\dfrac{100y-1170}{312}=x\\\\x=\dfrac{100y:2-1170:2}{312:2}\\\\x=\dfrac{50y-585}{156}[/tex]

What is the y-intercept of the function f(x) = -3x
Ο
Ο
on who wire on
Ο
Ο

Answers

Answer:

see the explanation

Step-by-step explanation:

we know that

The y-intercept is the value of the function when the value of x is equal to zero. Also is called the initial value of the function

I will analyze two cases

Part 1) we have

[tex]f(x)=-3x[/tex]

so

For x=0

substitute

[tex]f(0)=-3(0)=0[/tex]

therefore

The y-intercept is the point (0,0)

Part 2) we have

[tex]f(x)=-3^x[/tex]

so

For x=0

substitute

[tex]f(0)=-3^0=-1[/tex]

therefore

The y-intercept is the point (0,-1)

The buyer for a chain of stores purchased lawn ornaments in bulk, paying $23 each. The stores will sell each lawn ornament for $37.08. What is the mark-up percentage?

Answers

Answer:

The markup percentage is 61.2

Step-by-step explanation:

Given as :

The cost price of each ornaments = $23

The sell price of each ornament = $37.08

Let The markup percentage = x

Now, According to question

Markup percentage = [tex]\dfrac{s.p - c.p}{c.p}[/tex] × 100

Or, x% = [tex]\dfrac{37.08 - 23}{23}[/tex]

Or, x% = [tex]\dfrac{14.08}{23}[/tex]

Or, x% = 0.612

∴ x = 0.612 × 100

I.e x = 61.2

So, The The markup percentage = x = 61.2

Hence, The markup percentage is 61.2 Answer

mike scored a 125 at a semi final diving competition season. He scored a 95 at this final season. what is the percent decrease?

Answers

Answer:

24%

Step-by-step explanation:

Formula:

   x                 new price - old price

---------    =     ---------------------------------

100%                      old price

please help I need to get this done today ​

Answers

Answer:

18) If ∠1 = 124° , then ∠4 = 56°.

19) if ∠2 = 48°, then ∠3 = 132°.

20) if ∠4 = 55°, then ∠2 = 55°.

21) if ∠6 = 120° , then ∠8= 120°.

22) if ∠7 = 50.5 , then ∠6= 50.5°.

23) if ∠3 = 118.7°, then ∠2= 61.3°

Step-by-step explanation:

Given two parallel lines a and b.

And other line, which is called transversal line cuts these two parallel lines to make 8 angles.

Now,

18) Given, ∠1 = 124°

 Now, sum of consecutive interior angles made by transversal line with parallel lines = 180° .

⇒∠1 + ∠4 = 180°

⇒∠a = 180° - 124° = 56°.

19) ∠2 = 48°.

as sum of consecutive interior angles made by transversal line with parallel lines = 180° .

∠2 + ∠3 = 180°.

⇒ ∠3 = 180° - 48° = 132°.

20) ∠4 = 55°

Alternate angles made by transversal line with parallel lines are equal .

⇒∠2 = ∠4 = 55°.

21) ∠6 = 120°

As corresponding angles made by transversal line with parallel lines are equal. ∠6 = ∠3 = 120°.

now, also opposite angles are equal

⇒ ∠3 = ∠8 = 120°.

22) ∠7 = 50.5

As corresponding angles made by transversal line with parallel lines are equal. ∠7 = ∠2 = 50.5°.

now, also opposite angles are equal

⇒ ∠2 = ∠6 = 50.5°.

23) ∠3 = 118.7°

as sum of consecutive interior angles made by transversal line with parallel lines = 180° .

∠3 + ∠2 = 180°.

⇒ ∠2 = 180° - 118.7° = 61.3°

which formula can be used to find an ?

Answers

Answer:

Step-by-step explanation:

an = 6n - 13

If n  = 10  ,  a10 = 6*10 - 13 = 60-13 = 47

If n  = 11 ,  a11 = 6*11 - 13 = 66-13 = 53

If n  = 12  ,  a12 = 6*12 - 13 = 72-13 =  59

The formula to find the nth term of the sequence an, is a(n) = -13 + 6n

How to determine the formula to find an ?

From the question, we have the following parameters that can be used in our computation:

a(10) = 47

a(11) = 53

a(12) = 59

a(13) = 65

The nth term of an arithmetic sequence can be represented as

a(n) = a(1) + (n - 1) * d

Where,

common difference,

d = 6

So, we have

a(n) = a(1) + (n - 1) * 6

Using the 12th term, we have

a(1) + (12 - 1) * 6 = 59

a(1)  = 59 - 66

a(1)  = -7

So,, we have

a(n) = -7 + (n - 1) * 6


Expand

a(n) = -13 + 6n

Hence, the formula to find an is a(n) = -13 + 6n

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3.3(x – 8) - x = 1.2

Answers

Answer:

3.3 x - (3.3*8) - x = 1.2

2.3 x - (3.3*8) = 1.2

2.3 x - 26.4 = 1.2

2.3 x - 26.4 + 26.4 = 1.2 + 26.4

2.3 x = 27.6

2.3 x / 2.3 = 27.6 / 2.3

x = 12

What is the domain for the piece of the function represented by f(x) = x + 1? x < –1 –1 ≤ x ≤ 1 1 ≤ x < 2 x > 1

Answers

Note: As you missed to mention the graph for f(x) = x + 1 from where we had to check which option defines the accurate graph. But, after a little research, I was able to get the graph of this question, and hence attaching the graph. So, I am answering based on that graph which, anyways, would clear your concept about determining the domain of the function that shows in a graph.

Answer:

x > 1 is the domain of the f(x) = x + 1.

Step-by-step explanation:

A domain is the set of all x values that a function passes through. It means a domain is set of all input values where the function is defined, meaning whatever you input the x value, for every x-value there is only one y-value that corresponds to it.

So, now lets talk about the given function f(x) = x + 1 and its graph as shown in attached figure. Carefully observe the top right part of the graph of f(x) = x + 1. It is validating the condition of x > 1.

For example,

Just input some x values, greater than 1 i.e. x > 1, in f(x) = x + 1 to determine the output values.

For example, for x > 1

For x = 2, f(x) = 3. So, the graph must pass through of P(2, 3)For x = 3, f(x) = 4. So, the graph must pass through of P(3, 4)For x = 4, f(x) = 5. So, the graph must pass through of P(4, 5)

and so on.

So, the top right part of the graph of f(x) = x + 1 is validating the condition of x > 1 as it is passing through P(2, 3), P(3, 4) and P(4, 5) etc. and so on.

So, x > 1 is the domain of the f(x) = x + 1.

Keywords: domain, function

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Answer:

"D"  X > 1

Step-by-step explanation:

HOPE THIS HELPS!!!

Solve for X
12.8 = 8x

Answers

the answer is: X= 1.6

you just divide 12.8 by 8

Nati randomly selected 10 girls and 10 boys from her 7th grade class and recorded their heights in inches. The results are shown. Girls: 61, 58, 63, 57, 58, 59, 62, 60, 64, 56 Boys: 58, 55, 63, 60, 58, 65, 60, 57, 63, 62 A. Find the mean and median of the girls’ heights. Show your work.

Answers

Answer:

Mean= 59.8 and median = 59.5

Step-by-step explanation:

Mean  = Summation of values/ No. of Values

Mean of Girls' height= 61+58+63+57+58+59+62+64+60+56/10

Mean=  598/10= 59.8

Arranged Data = { 56, 57,58,58,59, 60, 61,62,63,64}

As the number of observations is even so the 5th and 6th value will be added and divided by 2

59+60/2= 59.5

Median = 59.5

please help me I need it.
Deon needs 50g of shugger to make 15 biscuits.
she also needs three times as much flour as sugar
two times as much butter as sugar
Deon is going to make 60 biscuits
work out the amount of flour she needs.

Answers

Answer:

200g of sugar, 600g of flour, 400g of butter

Step-by-step explanation:

50g sugar = 15 biscuits

3 x 50g = flour --) 150g = flour

2 x 50g = butter --) 100g = butter

60/15 = 4; 4 times as much

4 x 50g = 200g of sugar

4 x 150g = 600g of flour

4 x 100g = 400g of butter

The amount of flour she needed is 600g.

Given that,

Deon needs 50g of shugger to make 15 biscuits. she also needs three times as much flour as sugar  two times as much butter as sugar. Deon is going to make 60 biscuits.

Based on the above information, the calculation is as follows:

50g sugar = 15 biscuits

[tex]= 3 \times 50g\\\\ = 150g\ flour[/tex]

And.  

[tex]= 2 \times 50g \\\\= 100g \ butter[/tex]

Now  

[tex]= 60\div15[/tex]

= 4 times

Therefore, the amount of floor should be

[tex]= 150 \times 4[/tex]

= 600 grams.

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What’s equivalent to 25x + 35y

Answers

Answer:5x+7y

Step-by-step explanation:

Your welcome

Six more than five times a number is the same as nine less than twice the number. Find the number.

Answers

6+5x = 2x-9
3x = -3
x = -1 = the number

Answer:

x = -5

Step-by-step explanation:

let the number be x

"five times a number" : 5x

"Six more than five times a number" : 5x + 6

"twice the number" = 2x

"Six more than five times a number = 2x - 9

"Six more than five times a number" = "Six more than five times a number

5x + 6 = 2x - 9

5x - 2x = -9 -6

3x = -15

x = -15 / 3

x = -5

Worst Buy, a local electronics store, advertises a sale price of 25% off all televisions 42" or bigger. Model the sale price (original price minus discount) of those televisions, y, as a function of the regular price of the TV, x.

Answers

25% off means it would be selling for 75% of the original price ( 100% - 25% = 75%).

To find the sale price you would multiply the regular price by 75%:

The equation would be y = 0.75x

Round 8923 to the thousands

Answers

Answer:

9000

Step-by-step explanation:

When you are rounding to the thousands, if the hundreds place is 500 or greater you have to round up in the thousands place.

That would mean 8923 rounded to the thousands place would equal 9000

Hope This Helps!

Answer:

9000  

Step-by-step explanation:

To  round a number to the nearest thousand, you look at the number in the hundreds place.

If the number in the hundreds place is

greater than 5, you add 1 to the number in the thousands place less than 5, you keep the number in the thousands place exactly 5 with only zeros following it, you round the number in the thousands place to the nearest even number

Here's how to round 8923 to the nearest thousand.

The digit in the thousands place is the 8. The number in the hundreds place (8) is greater than 5. Add 1 to the digit in the thousands place.

The rounded number is 9000.

NEED NEED HELP! !!!!

Answers

for number 11, it’s the first, third and fifth. If they speak of it being more than something, it’s addition since you ADD MORE. If it’s saying times a number, it’s talking about multiplication because if you put a number times a number, you’re using multiplication.

There were 9 beluga whales, 3 bowhead whsles, and 2 narwhales. Each whale travels 6 miles. How many miles did the whale trvael?

Answers

84 miles I would think

Explanation:

14 whales in all, each travelled 6 miles.

14x6=84

Hope I helped :)

X/28=2/10 I need help solving for X

Answers

Answer:

x =  28/5

Step-by-step explanation:

Step 1: Cross-multiply

x  / 28 = 2/10

x*(10)=(2)*(28)

10x=56

Step 2: Divide both sides by 10.

10x  / 10 = 56/10

x = 28/5

The given ratios can be solved to obtain x as 5.6.

What is the application ratio and proportion?

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given expression is x/28 = 2/10.

In order to find the equality of two ratios, the cross products of their numerators and denominators are equal which is given as,

10x = 2 × 28

⇒ x = 56/10

⇒ x = 5.6

Hence, the value of x is given as 5.6.

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What is the point (5, -3) after a rotation of 90 degrees counterclockwise

Answers

Answer:

It would be (3,5)

Step-by-step explanation:

On a coordinate plane it would be changed in which the 2nd number becomes first & the + or - changes. Same for the first number.

Emily has $3.15 worth of dimes and quarters. She has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Emily has.

Answers

Answer:

The number of dimes is 14 and the number of quarters is 7.

Step-by-step explanation:

Given:

Emily has $3.15 worth of dimes and quarters.

She has twice as many dimes as quarters.

Now, to determine the number of dimes and the number of quarters.

Let the number of quarters be [tex]x.[/tex]

And the number of dimes be  [tex]2x.[/tex]

So, the total worth of dimes and quarters = $3.15.

Now, to get the number of dimes and quarters:

According to question:

[tex]0.10(2x)+0.25x=3.15[/tex]

[tex]0.20x+0.25x=3.15[/tex]

[tex]0.45x=3.15[/tex]

Dividing both sides by 0.45 we get:

[tex]x=7.[/tex]

Thus, the number of quarters = 7.

So, the number of dimes = [tex]2x=2\times 7=14.[/tex]

Therefore, the number of dimes is 14 and the number of quarters is 7.

What is a rational number equivalent to ——
3.12

Answers

Answer:

[tex]\frac{78}{25}[/tex]

Step-by-step explanation:

A rational number has the form

[tex]\frac{a}{b}[/tex] ← where a and b are integers

3.12 = [tex]\frac{312}{100}[/tex] ← divide numerator/denominator by 4, thus

3.12 = [tex]\frac{78}{25}[/tex] ← in simplest form

A little towns population is growing at an annual rate of 7.5%, annually. What is it’s growth rate per 3 years? Per 5 years? Round to the nearest tenth of a percent.

Answers

Answer:

A) The increase population of town after 3 years is 1.2 times initial population

B) The increase population of town after 5 years is 1.4 times initial population .

Step-by-step explanation:

Given as :

The rate of growth of population of a town = r = 7.5%

Let The initial population of town = p

A ) Let The increase population of town after 3 years = P

The time period = n = 3 years

Now, According to question

The increase population of town after n years = initial population of town × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, The increase population of town after n years = initial population of town × [tex](1+\dfrac{\textrm r}{100})^{\textrm n}[/tex]

Or, The increase population of town after 3 years  = p × [tex](1+\dfrac{\textrm 7.5}{100})^{\textrm 3}[/tex]

Or, P = p × [tex](1.075)^{3}[/tex]

Or, P = p × 1.242

So, The increase population of town after 3 years = P = 1.2 times initial population

Hence,The increase population of town after 3 years is 1.2 times initial population .  Answer

B )  Let The increase population of town after 5 years = P'

The time period = n = 5 years

Now, According to question

The increase population of town after n years = initial population of town × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, The increase population of town after n years = initial population of town × [tex](1+\dfrac{\textrm r}{100})^{\textrm n}[/tex]

Or,  The increase population of town after 5 years = p × [tex](1+\dfrac{\textrm 7.5}{100})^{\textrm 5}[/tex]

Or, P' = p × [tex](1.075)^{5}[/tex]

Or, P' = p × 1.4356

So, The increase population of town after 5 years = P' = 1.4 times initial population

Hence,The increase population of town after 5 years is 1.4 times initial population . Answer

Vivi is a drummer for a band. She burns 756756756 calories while drumming for 333 hours. She burns the same number of calories each hour.
How many calories does Vivi burn per hour?

Answers

burned: 756 calories

hours: 3

same number of calories each hour

-> to find this, we must split the number of calories evenly among the hours

steps

756/3

= 252 calories per hour

Answer:

252

Step-by-step explanation: 756/3

Two-thirds of a number added to itself is 20. What is the number?

Answers

Answer:

12

Step-by-step explanation:

2/3 x + x = 20

2/3 x + 3/3x = 20

5/3 x = 20   ... times 3/5 both sides

x = 12

check: 2/3 x 12 + 12 = 8 + 12 = 20

Someone please help!

Answers

Answer:

See explanation

Step-by-step explanation:

1. Lines l and k are parallel. These lines are cut be transversal n. Angles 2 and 7 are corresponding angles when parallel lines l and k are cut by transversal n. By Corresponding Angles Ttheorem, angles 2 and 7 are congruent.

2. Lines m and n are parallel. These lines are cut be transversal k. Angles 2 and 10 are alternate interior angles when parallel lines m and n are cut by transversal k. By Alternate Interior Angles Theorem, angles 2 and 10 are congruent.

3. Angles 2 and 7 are congruent (see 1)

   Angles 2 and 10 are congruent (see 2)

  Hence, angles 7 and 10 are congruent by transitive property.

A waiter received a $15.25 tip. If the check totaled $25, what percentage was received?

Answers

Answer:

61%

Step-by-step explanation:

15.25/25

=0.61

Multiply it by 100 and you will get the answer

Whole row form: 15.25/25*100

61 percentage was received.

Hope that helps! :)

Answer: He received 61%

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Tip (t) : $15.25 Total amount (T): $25

To, find the percentage (p):

p = t/T x 100

Replacing with the values given:

p = (15.25/25)x100

p= 0.61 x 100=61%

He received 61%

Feel free to ask for more if needed or if you did not understand something.

The scatterplot represents the total fee
for miles traveled on a toll road.
The line of best fit for the data is
y = 0.043x + 0.324.
Use the line of best fit to predict the toll
when 100 miles are driven.

Answers

Answer:

[tex]4.624[/tex]

Step-by-step explanation:

[tex]y=0.043x+0.324\\given \ miles \ x=100\\y= 0.043\times100+0.324\\=4.3+0.324\\=4.624[/tex]

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All organisms are made up of cells. Organisms can have A. 200-300 cells each. B. either many cells or no cells. C. only one cell each. D. one cell or many cells. What was an effect of the Kansas-Nebraska Act?It repealed the Missouri Compromise.California was admitted to the Union.The Compromise of 1850 was repealed. Which method of public speaking involves looking at the audience most of the time, while occasionally glancing at brief notes? Which of the following pairs of alleles would be most likely to cross over?( ) A..........B( ) A...B......( ) A......B.......C( ) AB.............( ) ..........AB 4. Which of the following is a pseudo-noble-gas electron configuration?O A 1s22s22p3s23p%3d10OB 1s22s22p63s23p6OC 1s22s22p63s2305OD 1s22s2p63s23d10452 Your general knowledge of words, facts, names, definitions, and other assorted trivia reflects which type of long-term memory?\ A total of 300 trees will be planted in a park, for every two pine trees there will be 3 maple trees what is the number of pine and maple trees that were planted in the park? ______________ did pioneering work on National Income Accounting at the NBER This was very important along with Wesley Mitchell's study of the Business Cycle and Milton Friedman's research on the demand for money..A. Adam SmithB. Joseph SchumpeterC. Torstein VeblenD. Simon Kuznets Now suppose that the government immediately pursues an accommodative policy by increasing government purchases in response to the short-run economic impact of the higher oil prices. In the long run, when the government pursues accommodative policy, the output in the economy will be $ billion and the price level will be A group of students is reviewing various methods for assessing pain. The students demonstrate understanding of the material when they identify what as the most reliable method? Interest groups often employ _____________________ as lobbyists in order to gain access to those in Texas government. A researcher reports that there is no consistent relationship between grade point average and the number of hours spent studying for college students. The correlation between grade point average and the number of hours studying is an example of __________.(A) a positive correlation(B) a negative correlation(C) a correlation near 0(D) a correlation near 1 Elsa purchased concert tickets about two months ago. Today is the concert but it's raining out, meaning Elsa would have to purchase an umbrella and rain boots if she still wants to go. Why is Elsa still likely to be persuaded to attend the concert? The equation which correctly represents this situation isA)x2 = 306B)2x2 = 306C)x2 + x = 306D)2x2 + x = 306 Suppose that you own a store that sells a particular stove for $1,000. You purchase the stoves from the distributor for $800 each. You believe that this stove has a lifetime which can be faithfully modeled as an exponential random variable with a parameter of lambda = 1/10, where the units of time are years. You would like to offer the following extended warranty on this stove: if the stove breaks within r years, you will replace the stove completely (at a cost of $800 to you). If the stove lasts longer than r years, the extended warranty pays nothing. Let $C be the cost you will charge the consumer for this extended warranty. For what pairs of numbers (C,r) will the expected profit you get from this warranty be zero. What do you think are reasonable choices for C and r? Why? Travis is comparing the effects of upbeat music and slow music on task productivity. His research assistants tell him they really enjoy the upbeat music condition. Imani is doing a study on sociability in college students,with participants either one-on-one or in small groups. She later finds out that one of her research assistants is much chattier than the others. Marcos is testing how performance in video games affects aggression; he randomly assigns participants to play either an easy video game or a difficult video game. Some of his participants have never played video games before. Shilpa wants to measure the positive effects of shopping online versus shopping in person. She recruits participants from a message board focused on online shopping and randomly assigns them to either buy three things online or three things in a store and then complete her shopping attitude scale_________.A. Unsystematic B. Variability C. Systematic Regardless of age-related losses, the majority of adults in their sixties and seventies reported being ______ their lives. In her account of unmarried womens experiences in colonial Philadelphia, Wulf argues that edu-Line cated young women, particularly (5) Quakers, engaged in resistance to patriarchal marriage by exchanging poetry critical of marriage, copying verse into their commonplace books. Wulf suggests that this (10) critique circulated beyond the daughters of the Quaker elite and middle class, whose com- monplace books she mines, proposing that Quaker shools (15) brought it to many poor female students of diverse backgrounds. Here Wulf probably overstates Quaker schools impact. At least three years study would be (20) necessary to achieve the literacy competence necessary to grapple with the material she analyzes. In 1765, the year Wulf uses to demonstrate the diversity of (25) Philadelphias Quaker schools, 128 students enrolled in these schools. Refining Wulfs numbers by the information she provides on religious affiliation, gender, and (30) length of study, it appears that only about 17 poor non-quaker girls were educated in Philadelphias Quaker schools for three years or longer. While Wulf is correct that (35) a critique of patriarchal marriage circulated broadly, Quaker schools probably cannot be credited with instilling these ideas in the lower classes. Popular literary satires (40) on marriage had already landed on fertile ground in a multiethnic population that embodied a wide range of marital beliefs and practices. These ethnic- and (45) class-based traditions themselves challenged the legitimacy of patriarchal marriage. The primary purpose of the passage is toA. argue against one aspect of Wulfs account of how ideas critical of marriage were disseminated among young women in colonial PhiladelphiaB. discuss Wulfs interpretation of the significance for educated young women in colonial Philadelphia of the poetry they copied into their commonplace booksC. counter Wulfs assertions about the impact of the multiethnic character of colonial Philadelphias population on the prevalent views about marriageD. present data to undermine Wulfs assessment of the diversity of the student body in Quaker schools in colonial PhiladelphiaE. challenge Wulfs conclusion that a critique of marriage was prevalent among young women of all social classes in colonial Philadelphia What is the equation of a line in slope-intercept for that passes through (4,8) and (-1,-12) How does direct current differ from alternating current?