Which distribution is positively skewed?
O A.
OB.
O C.
ח
0 2
4
8 10
5
H
14
HHHH
24
6
8 10 12 14 16 18 20 22 24 26 28 30

Which Distribution Is Positively Skewed?O A.OB.O C.0 248 105H14HHHH2468 10 12 14 16 18 20 22 24 26 28

Answers

Answer 1

The distribution that is positively skewed would be the Box plot in Option C.

What does a positive skew mean ?

When discussing distributions, a positive skew refers to the tail being lengthier on the right side as opposed to the left. As such, more extreme values are located on the right-hand portion of said distribution.

To put it another way, there is a predominance of data clustering toward the left with only a handful of instances where extreme values are found further along the right-hand scale. This scenario would prompt an observer to note how the mean outstrips the median.

The box plot in option C has most of the data towards the left side which is the positive side so this is positively skewed.

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Related Questions

-) Find the equation of the line that passes through (1,0) and (3,6).

Answers

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Find
Domain:
Range:
x-intercept:
Y-intercept:
Horizontal Asymptote:
Vertical Asymptote:
For =1/x
Pic attach below​

FindDomain: Range: x-intercept: Y-intercept: Horizontal Asymptote: Vertical Asymptote:For =1/x Pic attach

Answers

Answer:

Ignore my handwriting loll

Step-by-step explanation:

Hope this helps! :)

FindDomain: Range: x-intercept: Y-intercept: Horizontal Asymptote: Vertical Asymptote:For =1/x Pic attach

Evaluate (99)3 using suitable identities​

Answers

Answer:

297

Step-by-step explanation:

(99)3 =

(99) x 3 =

(90 + 9) x 3 =

(90) x 3 + (9) x 3 =

90 x 3 + 9 x 3 =

270 + 27 =

297

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Correction:

Evaluate (99)^3 using suitable identities.

Solution:

(99)^3 = (100 - 1)^3

since, (a - b)^2 = a^3 - b^3 - 3ab (a-b)

Where,

a = 100 andb = 1

Now,

(99)^3

=> (100)^3 - (1)^3 - 3(100)(1)(100 - 1)

=> 1000000 - 1 - 3(100)(100 - 1)

=> 1000000 - 1 - 300 (99)

=> 1000000 - 1 - 29700

=> 970299 Ans.

Identify the correct equation of the graph

Identify the correct equation of the graph

Answers

Answer:

The correct function is

\(f(b) = {b}^{2} - 4\)

Find P(A/B), in S = {10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80), A = 40 or less in S and B = even in S. Use fraction form for the probability​

Answers

Answer:

P(A|B) =  1/2

Step-by-step explanation:

Sample space for B = {10, 20, 30, 40, 50, 60, 70, 80}

where B is even

Total number of elements in sample space = 8

P(A|B) = Probability of a number being 40 or less from the sample space of 8

Sample space for A|B  = {10, 20, 30, 40}

So out of a possible 8 elements in the sample space for B only 4 elements can be chosen for the sample space of A

So P(A|B) = 4/8 = 1/2

Which equation has the solutions x=1+/- 5?
Ox^2+2x + 4 =0
Ox^2-2x + 4 =0
Ox^2+ 2x-4 = 0
Ox^2-2x – 4 =0

Answers

Answer:

\(x^{2} -2x-4=0\)

Solving Steps

Use the quadratic formula

\(x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}\)

Multiply / Remove the parentheses / Evaluate

\(x=\frac{2(+/-)\sqrt{4+16} }{2}\)

Calculate

\(x=\frac{2(+/-)\sqrt{20} }{2}\)

Separate the solutions

\(x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}\)

Simplify

\(x=1+\sqrt{5} \\x=1-\sqrt{5}\)

A students tuition was $4263 a loan was obtained for 4/7 of the tution how much was the Loan?

Answers

The answer may be the $800

Using 50 random numbers given below, compute the mean and standard deviation. 0.937776 0.270012 0.243785 0.590701 0.824982 0.131805 0.879337 0.741998 0.254683 0.080259 0.419321 0.928220 0.958430 0.980182 0.263900 0.063119 0.762096 0.485612 0.662900 0.362242 0.724796 0.307736 0.305021 0.417052 0.054337 0.323357 0.069662 0.843387 0.353107 0.074262 0.735596 0.175095 0.390508 0.668932 0.029861 0.205228 0.387740 0.962169 0.646565 0.423914 0.754782 0.156719 0.773113 0.546335 0.323573 0.649740 0.214082 0.382383 0.383982 0.030539 Mean = (to 6 decimals) Standard deviation = (to 6 decimals)

Answers

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

How to Solve the Problem?

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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How can I get the correct answer
2 1/2+1 1/3+1/6

Answers

Answer:

2+1 equal to 4 than 3+1 equal to 4 then 21+6 equals to 27

Answer:

\(\frac{43}{3}\)

Step-by-step explanation:

21/2 + 11/3 + 1/6

Least common multiple of 2 and 3 is 6. Convert \(\frac{21}{2}\) and \(\frac{11}{3}\) to fractions with denominator 6.

\(\frac{63}{6}\) + \(\frac{22}{6}\) + \(\frac{1}{6}\)

Since \(\frac{63}{6} and \frac{22}{6}\) have the same denominator, add them by adding their numerators.

\(\frac{63 + 22}{6}\) + \(\frac{1}{6}\)

Add 63 and 22 to get 85.

\(\frac{85}{6}\) + \(\frac{1}{6}\)

Since \(\frac{85}{6} and \frac{1}{6}\) have the same denominator, add them by adding their numerators

\(\frac{85 + 1}{6}\)

Add 85 and 1 to get 86.

\(\frac{86}{6}\)

Reduce the fraction \(\frac{86}{6}\) to lowest terms by extracting and canceling out 2.

\(\frac{43}{3}\)

PLEASE HELP ME OUT! I'll give brainliest!!

PLEASE HELP ME OUT! I'll give brainliest!!

Answers

Answer: 106

Step-by-step explanation: 12x10=120 7x2=14 120-14=106

Answer:

\(A_{shaded} = 106\ m^2\)

Step-by-step explanation:

Step 1:  Get the area of the inside box

\(A=l*w\)

\(A_{inside\ box} = 7\ m* 2\ m\)

\(A_{inside\ box} = 14\ m^2\)

Step 2:  Get the area of the outside box

\(A = l * w\)

\(A_{outside\ box} = 12\ m * 10\ m\)

\(A_{outside\ box} = 120\ m^2\)

Step 3:  Subtract the inside box from the outside box

\(A_{shaded} = A_{outside\ box} - A_{inside\ box}\)

\(A_{shaded} = 120\ m^2 - 14\ m^2\)

\(A_{shaded} = 106\ m^2\)

Answer:  \(A_{shaded} = 106\ m^2\)

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

Answers

A, B and C working together will finish same piece of work in 10 days

A can do a piece of work in 20 days. That is A is doing the work at a rate of  1 / 20. Therefore

B = 1 / 30

C = 1 / 60

A, B and C working togehter their rate will be added together =

A + B + C =  1 / 20 + 1 / 30 + 1 / 60 = 1 / 10

so they can work together to finish same piece of work in 10 days

Kayla had a balance of $65 in her savings account before withdrawing $28. What is her new balance? $83 $93 $43 $37​

Answers

93 is the correct answer because 65+28 is 93
The answer is 37

Explanation: If Kayla has a total balance of $65 and withdraws $28. You need to subtract 65 by 28 because the word withdraw means to take out (subtract). 65 subtracted by 28 equals to 37.

May i know this answer?

May i know this answer?

Answers

Answer:

1=2=3==929061()7292

What is the exact decimal equivalent of 7/12?

What is the exact decimal equivalent of 7/12?

Answers

Answer:

58.333333333333

Answer:

58.3 repeating

Step-by-step explanation:

Which type of function best models each set of data
points?
1. (0,11),(1,5), (2, 3), (3,5),(4, 11)
2. (-4,-10),(-2,-7), (0, -4), (2, -1),(4,2)
3. (-1,8), (0,4), (2, 1), (3, 0.5)

Answers

Answer:

69-46x y57 -8r8o 98-225+

pls help me

Josh is the owner of CranBog, a Cranberry Bog in Massachusetts. Cranberry production at CranBod can be represented by the inequality y ≤ 150x - 3100
under normal climate conditions, where y
is the annual production of cranberries at CranBog, in thousands of pounds, and x
is the number of acres of land that produce cranberries.

pls help meJosh is the owner of CranBog, a Cranberry Bog in Massachusetts. Cranberry production at CranBod

Answers

The TRUE statements about the inequality y ≤ 150x - 3100 are:

A) For a solution to be viable, both x and y must be integers.E) The ordered pair (40, 2900) is a solution to the inequality and means that with 40 acres of land, CranBog can produce 2,900 (in thousands of) pounds of cranberries.

What is inequality?

Inequality refers to a mathematical statement claiming the inequality of two or more mathematical expressions.

The following types and inequality symbols represent inequalities:

Less than (<)Greater than (>)Not equal to (≠)Less than or equal to (≤)Greater than or equal to (≥).

Check:

Ordered pairs (40, 2900)

y ≤ 150x - 3100

y ≤ 150(40) - 3100

y ≤ 6,000 - 3100

y ≤ 2900

Thus, the true statements about this inequality are Options A and E.

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The following table gives the frequencies of the nest size (number of eggs) of 153 Great Blue Heron nests
recorded on a recent survey in Indian River County. Use the data to construct a discrete probability
distribution.

The following table gives the frequencies of the nest size (number of eggs) of 153 Great Blue Heron nestsrecorded

Answers

The discrete probability distribution is given as follows:

P(X = 0) = 0.3268.P(X = 1) = 0.2353.P(X = 2) = 0.0392.P(X = 3) = 0.0065.P(X = 4) = 0.1438.P(X = 5) = 0.2484.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

There are 153 nests, hence the distribution in this problem is constructed dividing each of the amounts by 153, as follows:

P(X = 0) = 50/153 = 0.3268.P(X = 1) = 36/153 = 0.2353.P(X = 2) = 6/153 = 0.0392.P(X = 3) = 1/153 = 0.0065.P(X = 4) = 22/153 = 0.1438.P(X = 5) = 38/153 = 0.2484.

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A stack of 700 pieces of paper is 10.5 inches tall. How thick is one single piece of paper?

Answers

Answer:

0.381mm or 0.015in

Step-by-step explanation:

no. of papers in the stack-700

total length of stack-10.5in

thickness of single piece of paper= 10.5/700= 0.015in=0.381mm

7,258,630 in expanded form

Answers

Answer:

Hope it helped brainiest plz

Step-by-step explanation:

7,000,000

200,000

50,000

8,000

600

30

8{(5*3)+(2*5)+(2*10)=

Answers

Answer:

8(5*3)+(2*5)+(2*10)=360

Step-by-step explanation:

8(15)+(10)+(20)=

8(45)=

Answer:

The correct to you question is 360

Step-by-step explanation:

Helpppppp pleaseeeee ):

Helpppppp pleaseeeee ):

Answers

Answer:

Smily face=5 lightning=8

Step-by-step explanation:

5+5=10 8x3=24      24+10=34

8x5=40              5x8=40

FIRST RIGHT GETS BRAINLIEST

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

-6 duh its easy right

Step-by-step explanation:

The blue dot represents -6.

The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the
number of minutes.
On a piece of paper, graph c(x) = 3x + 2.00. Then determine which answer matches the graph you drew, including the correct axis labels,

The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is thenumber of minutes.On a piece

Answers

The answer is 7271% you need to divide the 3x by the top ecuation

Answer:

Graph D is the correct answer

Step-by-step explanation:

The graph of is attached.

The y-axis of the graph represents the cost, and the x-axis represents the number of minutes.

Also, the slope of is 2, and the y-intercept is 2.

Now let us look at the choices given and determine which graph represents the function .

The first graph has the slope of 2, and a y-intercept of 2, but the y-axis represents minutes, and the x-axis represents cost—this does not match our graph.

The second graph has y-intercept of 3—also not our graph.

The third graph also has a y-intercept of 3—this does match our graph either.

The fourth graph has a y-intercept of 2 and a slope of 2, and its y-axis represents the cost and x-axis represents the minutes—this perfectly matches our graph.

Therefore, the graph that matches our graph is D.

Solve two sevenths plus seven fourteenths

Answers

Answer:

Eleven Fourteenths

Step-by-step explanation:

Convert 2/7 into 4/14 to get a common denominator then add 4 and 7 to get 11/14

Answer:

c

Step-by-step explanation:

i took the test

Bernard can save $315 per month that he puts into a savings account
earning 7% annual interest. How much will he have saved after 4
years? show your work

Answers

After 4 years of saving $315 per month at 7% annual interest rate, Bernard will have saved approximately $10,864.11.

To calculate the amount that Bernard will have saved after 4 years, we can use the formula for compound interest:

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

Where:

A = the amount of money Bernard will have saved after 4 years

P = the amount of money Bernard is putting into savings each month = $315

r = the annual interest rate = 7% = 0.07

n = the number of times interest is compounded per year (monthly compounding in this case) = 12

t = the number of years = 4

Substituting the given values into the formula, we get:

A = 315(1 + 0.07/12\()^{(12\times 4)\)

A = 315(1.00583333\()^{48\)

A = 315(1.31564)

A = $10,864.11

Therefore, after 4 years of saving $315 per month at 7% annual interest rate, Bernard will have saved approximately $10,864.11.

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What is the area of a rectangle with side lengths of 6/8 meter and 4/10 meter

Answers

Answer: The area is 3/10

Step-by-step explanation: The area of a rectangle is length*width, so you multiply (6/8)*(4/10), multiply the numerators and denominators. It simplifies to 24/80, then reduce the fraction, you get 3/10.

The correct answer is 3/10.

Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS

SOMEONE HELP! PLEASE!

Provide the reasons for the following proof.The figure shows triangle W X Y with a segment X Z drawn

Answers

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

How to carry out a two column proof on a triangle?

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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y=-0.024x^2+0.0791x+4.873

Answers

The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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A high school student became dehydrated while recuperating from a virus. In the hospital he was given 120 cc of glucose intravenously at a drip rate of 1.02 cc per minute.
a. Make a table comparing the elapsed time with the amount of glucose given to the patient by calculating how much glucose is left in the bag over time. Use g for the number of ccs of glucose left in the bag and t for time in minutes.
NOTE: The x-axis is usually used to represent time.
b. Write an equation describing the relationship between the elapsed time and the amount of glucose remaining in bag.
c. Draw a graph. Discuss the meaning of the t-intercept and the g-intercept in this real-world situation.
d. What information from the table in part (a) and the graph in part (b) might be valuable to the doctor?

Answers

The equation describing the relationship between the elapsed time and the amount of glucose remaining in the bag is: g = 120 - 1.02t

What is an equation ?

In mathematics, an equation is a statement that shows the equality between two expressions containing variables. It is typically written as a combination of numbers, variables, and mathematical symbols, such as addition, subtraction, multiplication, and division.

Here is a table comparing the elapsed time with the amount of glucose given to the patient:

Time (minutes) Glucose remaining in bag (cc)

0 120

1 119.98

2 119.96

3 119.94

4 119.92

... ...

t 120 - 1.02t

The equation describing the relationship between the elapsed time and the amount of glucose remaining in the bag is: g = 120 - 1.02t

where g represents the amount of glucose remaining in the bag in cc and t represents the elapsed time in minutes.

Hence,  The equation describing the relationship between the elapsed time and the amount of glucose remaining in the bag is: g = 120 - 1.02t

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10. Choose Yes or No to tell if the fraction
will make each equation true.
Giving brainlest

10. Choose Yes or No to tell if the fractionwill make each equation true.Giving brainlest

Answers

yes
no
no
no
there u go :)
Other Questions
How many 3-digit numbers can be formed from the integers 0;1;2;3;4;5 each taken at most once?what is the probability of getting an even number? A sheet of stickers contains 15 purple, 9 red, 12 yellow, and 4 green stickers. a sticker is chosen at random, placed on a paper, then another sticker is chosen. consider using a z test to test h0: p 5 .6. determine the p-value in each of the following situations. a. ha:p..6,z51.47 b. ha:p,.6,z522.70 c. ha:p?.6,z522.70 d. ha:p,.6,z5.25 The field of sociology first developed due to three major changes in european societies in the 18th and 19th centuries. what were these three major changes? Dan, a new help desk technician, is talking with a customer on the phone. The customer has a problem that Dan has never seen before and does not know how to troubleshoot. What is the first thing that Dan should say to the customer? Why are the roles in different ecosystems the same but the species that fill them often different? EE 21-7 Jonick Company has sales of $740,000, and the break-even point in sales dollars is $547,600. Determine the companys margin of safety as a percent of current sales. Maya is hoping to hire lifeguards to work at her community pools this summer. What is the first step she must take in this process?1) Interview applicants for the job2) Ask applicants to fill out an application form3) Determine how many lifeguards she will need4) Decide whether she will place ads in Craigslist, on Nextdoor, or at the local high school 7. This person made a big impact on Esperanza even though she neverreally knew them, or their last name. The amount of the deposits in the banking system and the monetary base are respectively 39500 mln. euros and 15500 mln. euros. If the currency ratio is 0.29 and the required reserves ratio is set at 10%, find:) the currency in circulationb) the required reservesc) the excess reserves Analyze Motives Why do you think the Spaniards chose to utilize Native Americans in the new colonies? Nike Air Forces were on sale for 12% off at Footlocker. If the Air Forces cost $98.00, what will be the sale price? Find (f^-1)'(a). f(x) = 3x^3 + 5 sin x + 2 cos x, a = 2(f^-1)'(a) = Tiffany is proud to say that she has donated many times to the local blood bank. Puncturing a vein to remove blood for sampling or donation is called Group of answer choices pls help with my edge math a composite aquitard consists of 1.1-foot-deep lacustrine clay layer on top of 5.8-foot-deep glacial till layer. the composite aquitard is found to permit 0.13 gpd of vertical ground-water flow over an area of 34.2 feet2 with a total head loss of 2.4 feet. the hydraulic conductivity of the glacial till is determined to be 2.2 x 10-6 cm/sec (0.0466 gpd/ft2). what is the hydraulic conductivity of the lacustrine clay? A 20-GHz radar has an antenna with a diameter of 2m. The transmitted power is 1kW.a) What is the gain of the antenna if the aperture efficiency is 0.85? Assume all other "efficiencies" are unity.b) What is the power density (W/m2 ) at a point 30km from the radar in the center of the radar beam?c) If there is a 1 meter square metal plate (i.e. perfect reflector) placed at the center of the beam at 30km and oriented normal to the beam, what is the directivity of the plate? The science teacher has a 1. 200 scale model of the space shuttle discovery. the model is 19.5 inches long. calculate the length (in inches) of the actual space shuttle. A tennis player serves a tennis ball such that it is moving horizontally when it leaves the racquet. When the ball travels a horizontal distance of 11 m, it has dropped 54 cm from its original height when it left the racquet. What was the initial speed, in m/s, of the tennis ball One necessary condition for deadlock is ____, which states that at least one resource must be held in a nonsharable mode. A) hold and wait B) mutual exclusion C) circular wait D) no preemption