What is the mode for test scores 84,76,95,66,87,91,79,88,81,87?

Answers

Answer 1

Answer: mode is 94

Step-by-step explanation:


Related Questions

What is the x value of the solution to the following system
x + y =40
x - 3y = -4

Answers

Answer:

x=y , x-3y=4. x = y x = y , x − 3y = 4 x - 3 y = 4. Replace all occurrences of x x with y y in each equation. Tap for more steps... −2y = 4 - 2 y = 4. x = y x = y. Divide each term in −2y = 4 - 2 y = 4 by −2 - 2 and simplify. Tap for more steps... y = −2 y = - 2.

Step-by-step explanation:

Just smart

Answer:

C) 29

Step-by-step explanation:

1st equation - 2nd equation,

x+y - (x-3y) = 40-(-4)

x+y-x+3y = 40+4

4y = 44

y = 44÷4

y = 11

substituting y into the first equation,

x + 11 = 40

x = 40-11 = 29

answer is C

hope it helps. :)

What is the slope of the line shown?
A. slope = 2
B. slope = 1/2
C. slope = -1
D. slope = 1

Answers

Answer:

I think b 1/3

Step-by-step explanation:

slope is rise over run

Answer:

1/2

Step-by-step explanation:

find 2 clear points A(2,0) B(8,3)

use the formula of the angular coefficient

[tex]c = \frac{y2 - y1}{x2 - x1} [/tex]


Select the values that make the inequality

Answers

The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.

Given,

In the question:

To see the figure:

To select the values that makes the inequality  s ≤ 4 true.

Number table are given in figure.

To see the figure and analysis.

Now, According to the question;

To make the inequality s ≤ 4 true.

The selected value must be less than 4 {Properties of Inequality}

The values are sorted from small to large:

So, The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.

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In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 10 A (amperes), the resistance is 13 ohms. What is the resistance when the current is 26 A?

Answers

Answer:

33.8ohms

Step-by-step explanation:

10A : 13ohm

26A : 33.8ohm


On average, Jaya drinks of a 6-ounce glass of water in 13 hours. How many glasses of water does she drink in one hour?

Answers

On average, Jaya drinks 0.46 ounces glasses of water does she drink in one hour.

Average:

Average refers the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

On average, Jaya drinks of a 6-ounce glass of water in 13 hours.

Here we need to find the number of glasses of water does she drink in one hour.

Let x be the number of glasses of water does she drink in one hour.

We know that, Jaya drinks of a 6-ounce glass of water in 13 hours.

So, in order to find the average we have to divide the number of glasses by the time taken.

So, it can be written as,

=> 6/13

=> 0.46

Therefore, for one hour Jaya drinks 0.46 ounces of water.

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Which expression has the same value as 3 ÷ 5/9? A. 3 × 5/9 B. 1/3 ÷ 5/9 C. 3 ÷ 9/5 D. 3 × 9/5

Answers

Answer:

D: 3x9/5

Step-by-step explanation:

the formula for dividing fractions is skip flip multiply where we keep the first term the same and then flip the second to multiply

Hopes this helps please mark brainliest

Evaluate the expression when a=5 and b=1/2: 13/2 - 7/2 -b( 2/3) + 4/8 - ab

Answers

Answer is 2/3 or .66666667

In a study of helicopter usage and patient survival, among the 49,401 patients transported by helicopter, 244 of them left the treatment center against medical advice, and the other
49,157 did not leave against medical advice. If 40 of the subjects transported by helicopter are randomly selected without replacement, what is the probability that none of them left
the treatment center against medical advice?
The probability is
(Round to three decimal places as needed)

Answers

Answer:

40%

Step-by-step explanation:

One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was revealed that they watched an average of 151 hours each month with a standard deviation of 32 hours. Assume that the underlying population distribution is normal.

Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)

Answers

The Z distribution also referred to as the standard normal distribution is the distribution that we would have to use here.

What is the z distribution?

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution.

By transforming the values of any normal distribution into z-scores, it is possible to standardize it. Z-scores indicate the number of standard deviations from the mean that each value falls within.

This is the z distribution given that the value of n is more than 30.

We have to make use of z when n which is the number of samples  is greater than 30.

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Find the 14th term of the geometric sequence 1,-5,25

Answers

The 14th term of the geometric sequence will be -1220703125.

What is geometric sequence?

The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc.

Geometric Progression (GP), a form of sequence in mathematics, is a series in which each subsequent term is created by multiplying each preceding term by a set integer, known as a common ratio. A geometric sequence of integers that follows a pattern is another name for this development.

[tex]1*(-5)^{13}[/tex]The terms are given, 1,-5,25

a = 1

r = -5/1 = -5

The 14th term will be= [tex]ar^{13}[/tex]

= [tex]1*(-5)^{13}[/tex]

= -1220703125

Hence, the 14th term of the geometric sequence will be -1220703125.

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Three middle schools in a city had enrollments of 296,315 and 278 what was the total middle school enrollment

Answers

The total middle school enrollment is 889 for the given city.

According to the question,

We have the following information:

Three middle schools in a city had enrollments of 296,315 and 278.

Now, the total middle school enrollment can be easily found by adding the enrollments in three middle schools of the city.

So, we have the following expression:

Total middle school enrollment = 296+315+278

(We already know that the digits are first added from the right hand side and then we move to the left hand side.)

Total middle school enrollment = 889

Hence, the total middle school enrollment is 889 for the given city.

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Which one is triangle a and b

Answers

In both triangle one angle is larger than 90 degree . so these triangles are obtuse triangles.

What is  Obtuse triangle?

When one of the interior angles of a triangle is more than 90 degrees, the triangle is said to have obtuse angles. The sum of the other two angles in an obtuse triangle is less than 90° if one angle in the triangle is greater than 90°.Degrees with obtuse angles include 110°, 135°, 150°, 179°, 91°, and more. Therefore, all angles that fall between 90° and 180° are obtuse angles.

Triangle B = Obtuse triangle

Triangle C = Obtuse triangle

in both triangle one angle is larger than 90 degree . so these triangles are obtuse triangles.

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What is the solution set for 5x−5=15, given the replacement set {0, 1, 2, 3, 4}?
Responses

x = 4
x, = 4

x = 3
x, = 3

x = 2
x, = 2

x = 1
x, = 1

x = 0

Answers

The solution to the equation 5x - 5 = 15 in the replacement set is x = 4

How to solve the equations using the replacement sets?

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

5x - 5 = 15

The replacement set is given as

{0,1, 2, 3, 4}

So, we replace the variables using the elements in the replacement set

When x = 0, we have

5(0) - 5 = 15

-5 = 15 -- false

When x = 1, we have

5(1) - 5 = 15

0 = 15 -- false

When x = 2, we have

5(2) - 5 = 15

5 = 15 -- false

When x = 3, we have

5(3) - 5 = 15

10 = 15 -- false

When x = 4, we have

5(4) - 5 = 15

15 = 15 -- true

Hence, the value of the equation is x = 4

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NO LINKS!! Please help me with these graphs Part 4a​

Answers

Answer:

a.  x = 1.75,  x = 4.25

b.  y = -7

c.  Maximum point at (3, 5).

d.  Domain:  (-∞, ∞)

e.  Range:  (-∞, 5]

f.  See attachment.

Step-by-step explanation:

Given function:

[tex]\text{f}(x)=-4|x-3|+5[/tex]

As per the question, use a graphing calculator to graph the given function.

Part a

The x-intercept(s) are the points at which the curve crosses the x-axis.

x-intercepts:  x = 1.75,  x = 4.25

Part b

The y-intercept is the point at which the curve crosses the y-axis.

y-intercept:  y = -7

Part c

From inspection of the graph:

Maximum point at (3, 5).

Part d

The domain of a function is the set of all possible input values (x-values).

The domain of the given function is unrestricted.

Domain:  (-∞, ∞)

Part e

The range of a function is the set of all possible output values (y-values).

As the function has a maximum point at y = 5, the range is restricted.

Range:  (-∞, 5]

Part f

Graph label the axes using a scale of 1 (see attachment).

Plot the maximum point (3, 5).  Plot the y-intercept:  (0, -7).Draw a straight line from the maximum point through the y-intercept.

Substitute x = 5 into the function to find the value of y at that point:

[tex]\begin{aligned}\implies \text{f}(5)&=-4|5-3|+5\\&=-4|2|+5\\&=-4(2)+5\\&=-8+5\\&=-3\end{aligned}[/tex]

Plot found point (5, -3).Draw a straight line from the maximum point through point (5, -3).

Número 5 five pls help me

Answers

Explanation below …..

find the distance between two points rounding to the nearest tenth if needed. (-5,4) and (4,-8)

Answers

Answer:

d = 15

Step-by-step explanation:

(-5, 4), (4, -8)

(x₁, y₁)   (x₂, y₂)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(4 - (-5))² + (-8 - 4)²

d = √(4 + 5)² + (-12)²

d = √(9)² + (-12)²

d = √81 + 144

d = √225

d = 15

I hope this helps!

Is -4 a solution to the following equation? 4 + 3(x + 2) = 12x + 20 -4x

Answers

Answer:

-4 is not a solution to the following equation.

Step-by-step explanation:

It you replace x with -4 on both sides of the equation you get -2=-12 and they are not equal to each other. Therefore, -4 is not a solution to the equation.

4. Daryll rides a bike 8 miles in 40 minutes. Isabella rides a bike 5 miles in 30
minutes. If they continue to ride at those speeds, who will bike the farthest
in 2 hours? How much father? Show your work.

5 A student sells 5 ears of corn for $2.00 how much will 9 ears cost show your work

6 A market sells 4 oranges for 2.45 how much will 8 oranges cost ? 12 oranges show your work

Answers

Answers
4. Daryl = 24 miles, Isabella = 20 miles
so Daryl bikes the farthest by 4 more miles in 2 hours (120 minutes)

5. $3.60 for 9 ears

6. $4.90 for 8 oranges, $7.35 for 12 oranges
_____________

Step by step

4.
Solve for Daryl
8 miles /40 min = x miles / 120 min.
Find rate 8/40 = .2 miles per minute
.2 x 120 minutes = 24 miles in 120 minutes

Solve for Isabella
5 miles / 30 minutes = x miles / 120 minutes
Find rate 5/30 = 1/6 rate x 120 = 20 miles in 120 minutes

5.
5 ears corn for $2.00
Find rate $2.00/5 = .40 per ear

Multiply .40 x 9 ears = $3.60 for 9 ears

6.

4 oranges for 2.45
Find rate $2.45 / 4 = .6125 per orange

.6125 x 8 oranges = $4.90
.6125 x 12 oranges = $7.35


At a supermarket, oranges cost $1.30 per pound and pears cost $1.90 per pound. Misha spent less than $10.00 on 2 pounds of oranges and x pounds of pears. Which inequality represents this situation?

Answers

Answer:

kind423

Step-by-step explanation:

Answer: 2(1.9)+1.30x<10

Step-by-step explanation:

Orange= $1.30/lb

Pear= $1.90/lb

$1.30/lb = $y/2lb

y=1.30*2

y=$2.6 for 2lb of orange

So

She spent

2(1.30)+1.90x< $10

2.6+1.90x<10

1.90x<10-2.6

1.90x<7.4

x<7.4/1.90

x<3.89

According to 2(1.30)+1.90x< $10

2.6+1.90*3.89<10

9.991<10

Use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated.
65 lb to g

Answers

The conversion of the measurement of 65 lb will be 29483.5 g.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

In this case, we need to convert 65 lb to g

It should be noted that we have to multiply the weight value by 453.5

Therefore, it should be noted that 65 lb will be:

= 65 x 453.5

= 29483.5 g.

Therefore, it should be noted that the conversion of the measurement of 65 lb will be 29483.5 g.

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The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.


2 0, 1, 4
3 1, 2, 6
4 1, 3, 7
5 1, 1
6 5
Key: 3|2 means 3.2


What is the mean, and what does it tell you in terms of the problem?

Answers

Using the stem-and-leaf plot, the mean of the data is 3.85.

It means the average feet that the heavy ball was thrown is 3.85 feet, which is the typical number.

How to calculate the Mean of a Data Set represented by Stem-and-Leaf Plot?

To find the mean of a data set that is represented by a stem-and-leaf plot, first, list out all the data values that are represented on the stem-and-leaf plot, add all the values and divide by the number of values that was represented on the stem-and-leaf plot.

Given the stem-and-leaf plot above, using the key, the data points represented are:

2.0, 2.1, 2.4, 3.1, 3.2, 3.6, 4.1, 4.3, 4.7, 5.1, 5.1, 6.5

Mean = [2.0 + 2.1 + 2.4 + 3.1 + 3.2 + 3.6 + 4.1 + 4.3 + 4.7 + 5.1 + 5.1 + 6.5]/12

Mean = 46.2/12

Mean = 3.85 feet

The mean of 3.85 feet means that the average distance that the heavy ball was thrown in feet is 3.85.

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The Answer is:

3.85 ft.
* *

-

What is the value of k in 10*10=10

Answers

The value of k in 10 × 10 = [tex]10^k[/tex] is k = 2

The equation is give

10 × 10 = [tex]10^k[/tex]

The equation is defined as the mathematical statement that represent the two algebraic expression with an equal sign. The equation will no contain the inequality signs like greater than, less than etc..

The power of a number is the base number is raised to the exponent

Here the equation is

10 × 10 = [tex]10^k[/tex]

10 is the base number and k is the exponent.

We know that,

10 × 10 = [tex]10^2[/tex]

The value of k = 2

Here 2 is the exponent of base number 10

Hence, The value of k in 10 × 10 = [tex]10^k[/tex] is k = 2

The complete question is:

What is the value of k in 10 × 10 = [tex]10^k[/tex] ?

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Enrique has a pay-per-use plan on his cell phone. It costs $0.10 per minute talk, $0.20 per text message, and $0.25 per picture message. His total bill last month was $30.95. The total number of text and picture messages sent was 87. The cost for the use of minutes was $1.60 less than the cost of the text messages. Find the number of talk minutes, text messages, and picture messages he used.​

Answers

The number of minute talk's, text message's and picture message's are 128, 72 and 15 respectively.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Enrique who has a pay-per-use plan on his cell phone. It costs $0.10 per minute talk, $0.20 per text message, and $0.25 per picture message. His total bill last month was $30.95. The total number of text and picture messages sent was 87. The cost for the use of minutes was $1.60 less than the cost of the text messages

Assume that [x], [y] and [z] represents the number of minute talk's, text message's and picture message's respectively. Then -

0.1x + 0.2y + 0.25z = 30.95         ..[1]

y + z = 87           ..[2]

0.1x = 0.2y - 1.6     ...[3]

We can write Eq[1] as -

0.2y - 1.6 + 0.2y + 0.25z = 30.95  

z = 87 - y

0.2y - 1.6 + 0.2y + 0.25(87 - y) = 30.95  

Solving, we get y = 72.

So z = 87 - 72 = 15

and

0.1x = 0.2 x 72 - 1.6

0.1x = 14.4 - 1.6

x = 128

Therefore, the number of minute talk's, text message's and picture message's are 128, 72 and 15 respectively.

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Help me please it’s confusing

Answers

Answer: 1/6

Step-by-step explanation:

To subtract fractions, you must have a common denominator. To do this, the common multiple of 3 and 2 is 6. So 2/3 is multiplied by 2/2 and 1/2 is multiplied by 3/3. The multiplication is valid since we multiplied by one, it didn't alter the value but rather it put it into an alternate, equivalent form.

1. Amy is practicing target shooting at a special facility. A target projectile is launched
into the air from a platform 10 feet above the ground at a rate of 96 feet per second.
Amy aims and shoots at her target. Her bullet follows a linear path with a slope of 17
feet per second and she fires from a height of 5 feet.

Answers

The equation used to determine height and time is y = 16x² + 96x + 10 and y = 17x + 5

What is Projectile Motion ?

A projectile is something that has only one force acting on it the entire time, which is gravity, with the exception of the beginning.There are numerous types of projectiles.A projectile is something that is launched from the position of rest.A projectile is also any object that is hurled vertically upward as long as air resistance has no effect. Additionally, a projectile is any object that is fired upward at an angle to a horizontal plane.

The height of projectile after t seconds is given,

h(t) = 1/2 gt² + v₀t + s₀

where,

v₀ ( initial velocity ) = 96 feet per second

s₀ ( initial height ) = 10 feet

g = 32 feet per second²

put the values,

h(t) = 1/2 (32)t² + 96 t + 10

h(t) = 16 t² + 96 t + 10

so, let h(t) = y and t = x

y = 16x² + 96x + 10

We know, Amy's bullet follows a linear path,

The linear equation is,

y = mx + b

where, slope (m) = 17 feet per second and,

y-intercept (b) = 5 feet

plug in the values in linear equation,

y = 17x + 5

Therefore, The equation used to determine height and time is y = 16x² + 96x + 10 and y = 17x + 5

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The equation for line u can be written as y = -x + 1. Line v, which is perpendicular to line
u, includes the point (-3, 2). What is the equation of line v?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
미미
Submit

Answers

Answer:

Line v:  y = x + 5

Step-by-step explanation:

Given two lines are perpendicular and the equation of one line, we use the following formula to find the slope of the other line where m1 is the slope of the line we're given and m2 is the slope of the line we want to find:

[tex]m_{2}=-\frac{1}{m_{1} }\\m_{2}=1[/tex]

The general equation of a line is y = mx + b, where m is the slope and b is the y-intercept.  

Therefore we plug in our slope and the point (-3, 2) to find the y-intercept of line v:

[tex]2=1(-3)+b\\2=-3+b\\5=b[/tex]

The method of tree-ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.
1,320 1,264 1,215 1,271 1,268 1,316 1,275 1,317 1,275

(a)
Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to four decimal places.)


A.D.
s =
yr
(b)
When finding an 90% confidence interval, what is the critical value for confidence level? (Give your answer to three decimal places.)
tc =
What is the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site? (Round your answer to the nearest whole number.)
E =
Find a 90% confidence interval for the mean of all tree-ring dates from this archaeological site. (Round your answers to the nearest whole number.)
lower limit
A.D.
upper limit
A.D.

Answers

Using the t-distribution, it is found that:

a)

The mean is: 1280.1111The standard deviation is: 33.5799.

b)

The critical value is: 1.86.The margin of error is: 21.The interval is: (1259, 1301).

What is a t-distribution confidence interval?

The bounds of the confidence interval are given according to the rule presented as follows:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the variables of the equation are listed as follows:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The margin of error of the interval is:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

Then the interval can be interpreted as the sample mean plus/minus the margin of error.

For the confidence interval in this problem, using a calculator, the parameters are given as follows:

[tex]\mu = 1280.1111, s = 33.5799, n = 9[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 9 - 1 = 8 df, is t = 1.86.

Then the margin of error of the interval is:

M = 1.86 x 33.5799/sqrt(9) = 21.

Then the bounds of the interval are:

Lower: 1280 - 21 = 1259.Upper: 1280 + 21 = 1301.

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Which ordered pairs in the form (x,y) are solutions to equation 3x -4y =21? SELECT MORE THAN ONE ANSWER. a- (11,30) b-(7,0) c-(-1,-6) D- (-3,3) please help

Answers

In  linear equation, option A,B,C are equal expect D .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

The given equation is  3x -4y =21.

A.  (11, 3)

3(11) - 4(3) = 21

21 = 21 > equal

B.  (7, 0)

3(7) - 4(0) = 21

21 = 21 > equal

C.  (−1, −6)

3(-1) - 4(-6) = 21

21 = 21 > Equal

D.  (−3, 3)

3x – 4y = 21

3(-3) - 4(3) = 21

-21 = 21 > not equal

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100 POINTS!!!

2. Millicent's password for a website is a 5-digit number. The digits are the prime factors of 2,205 listed from least to greatest. What is Millicent's password?

33577

D 35577

B 33557

A 33357

Answers

Answer:

Step-by-step explanation:

I

Ellie bought cookies and cupcakes for $102.44. If she spent $36.44 on cookies
and the cupcakes are $11 per box, how many boxes did she buy?

Answers

she bought 6 boxes!:) hope this helps

Answer:

Step-by-step explanation: First since the cookies are 36.44 dollars and the total spent is 102.44, use 102.44-36.44= 66 dollars

66/11=6 cupcake boxes

6 cupcake boxes + 1 cookie box = 7 boxes in total

Other Questions
which patented inspection process enables the firewall administrator to gain visibility and ensure that only those who have a business need have access to an application Simplifique la siguiente expresin.(3) 4.3. the social and cultural regulations governing emotional expressions, especially facial expressions are called a 20.0 kgkg wood ball hangs from a 1.30 mm -long wire. the maximum tension the wire can withstand without breaking is 400 nn . a 0.900 kgkg projectile traveling horizontally hits and embeds itself in the wood ball. part a what is the largest speed this projectile can have without causing the cable to break? express your answer with the appropriate units. Is the function that cuts through the points (2, 3) and (-1, 6) increasing or decreasing? a. increasing c. neither b. decreasing d. cannot be determined Please select the best answer from the choices provided A B C D Mark this and return Please help! ( I'll give brainliest! )In three to five sentences, explain how the valleys and mountain ranges form.(4 points)( I will re- write your answer in my own words. ) How many molecules are in 12.80 moles of strontium bydroxide? Bimpe rues 5km per hour faster thean she walk- If she runs for 45 minute and walks for 3 hour.! BE A GOOD NAJM/ NAJMAH, AL find the missing length the tiny country of fremont has a population of 100,000 people. in 2009, there were 2,000 births, 500 deaths, 200 emigrants, and 100 immigrants. what is the population growth rate (r) for 2009? help is needed please and thank you a cylindrical space colony 13 km in diameter and 30 km long has been proposed as living quarters for future space explorers. such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. all this would be held in place by the rotation of the cylinder about the long axis. how fast would such a cylinder have to rotate at its perimeter to produce a 1-g gravitational field at the walls of the cylinder? Identify all the statements that relate to the Haymarket Riots.A) Involved Carnegie's steel plantB) Began as support for 8-hour work dayC) Took place in Chicago in 1886D) Involved a railroad companyE) Bombing killed 8 peopleWhich letters are correct? How do you solve #22? The definition of food needed by humans and animals is you open the newspaper and read that europe is headed for a recession. use the fed model to forecast what you expect to happen to the u.s. economy. a. a european recession is a macroeconomic shock that decreases u.s. aggregate expenditure, due to a decrease in net exports . b. demonstrate the effects of the macroeconomic shock, using the is-mp framework. todd is attempting to finish an extraction begun by his lab partner. at this time, his separatory flask contains water and toluene, with benzylamine, 1,3-diphenylacetone, and phenol dissolved in the toluene layer. to separate out the benzylamine, he should add: In the above map, the Pacific plate (oceanic crust) collides with the South American plate (continental crust). Based on the data you mapped and the shape it made above, which plate is more dense and slides under the other? Continental crust this is actually for earth science A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 4 points with 99% confidence assuming S=13.8 based on earlier studies? Suppose the doctor would be content with 90 confidence. How does the decrease in confidence affect the sample size required? which of the following statements is/are true about experimental designs? group of answer choices they are the most rigorous of the designs they do not require random assignment to a control or intervention group it is not possible to conduct a study of this design in the social sciences the comparison and control groups do not need to be equivalent all of the above are true