The variance of the sample mean is 12/35 = 0.3429.. This is a result of uniform distribution.
The uniform distribution is a continuous probability distribution and is concerned with events that are equally likely to occur. When working out problems that have a uniform distribution, be careful to note if the data is inclusive or exclusive.
According to the question, we have
Sample size (n) = 36; uniform continuous distribution has a maximum of 14 and a minimum of 2.
The notation for the uniform distribution is
X U(a,b), where a= the lowest value of x and b= the highest value of x. The probability density function is f(x) = 1/(ba ) fo axb .
b = 14 and a = 2.
Variance in uniform distribution = (b-a)² / 12.
Put the value of a and b,
Variance = ( 14-2)²/12 = 12
Sample variance is used to calculate the variability of sample sets.
The variance of the sample means = variance / (sample size- 1) 9= (b-a)²/ (n-1)
= 12/35= 0.342
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Find the measure of B
The height (h), in feet, of a balloon is calculated by using the equation h= 3+ + 2 where t is time, in seconds.What is the height of the balloon after 30 seconds?A. 60 ftB. 66 ftO C. 92 ftO D. 102 ft
Given data:
The given expression for height is h=3t+2.
Substitute 30 for t in the above expression.
[tex]\begin{gathered} h=3(30)+2 \\ =92\text{ ft} \end{gathered}[/tex]Thus, the height of the balloon after 30 seconds is 92 ft, so option (C) is correct.
an you guys help me with this one too
Amanda and Diana given right solution set.
The solution set of given graph of inequality is,
x < 4.
Now, The solution of given created inequality,
Amanda:- -3x + 5 > -7
=> -3x> -7 -5
=> - 3x > -12
=> 3x < 12
=> x < 4
So, it is correct
Briana:- 1/2 (2x - 4)> 2
=> 2x - 4 > 4
=> 2x > 8
=> x > 4
It is wrong
Courtney:- -7x+8 > -3x + 24
=> -7x + 3x > 24 - 8
=> -4x > 16
=> 4x < -16
=> x < -4
It is wrong
Diana:- 9x -6 < 3x + 18
=> 9x - 3x < 18 + 6
=> 6x < 24
=> x < 4
So, it is right
Hence, Amanda and Diana given right solution set.
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Please Help I'm soooo stuck
There are 40 fish in a pond. 12 of the fish are bream. Of the fish that are not bream, 1/4 are tench and the rest are carp.
What is the ratio of bream to tench to carp in the pond? Give your answer in its simplest form.
The ratio of bream to tench to carp is given by the expression; 12 : 7 : 21
What is a ratio of items?A ratio is a relationship between two or more items, that quantitatively expresses the number of times a unit item can be found within the quantity of each item in the set of items.
The given parameters are;
Number of fish in the pond = 40
The number of fish in the pond that are bream = 12
The number of fish that are tench = 1/4 of the fish that are not bream
The number of the fish that are carp = The rest of the fish that are not bream or carp
Required;
The ratio of bream to tench to carp of the fish in the pond.
Solution;
The number of fish that are either tench or carp = 40 - 12 = 28
The number of the fish that are tench = (1/4) × 28 = 7
Therefore;
The number of fish that are carp = 28 - 7 = 21
Which gives;
Number of bream in the pond = 12
Number of tench in the pond = 7
Number of carp in the pond = 21
The ratio of the number of bream to tench to carp in the pond is given by the expression;
[tex]\displaystyle{ \frac{12}{40}:\frac{7}{40}:\frac{21}{40}}[/tex]
Given that the expression for the ratio cannot be simplified further, we have;
The ratio of bream to tench to pond is 12 : 7 : 21
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What is the purpose of carbon sequestering technology? To remove carbon from the air and put it into the ground To use respiration to remove carbon from the air To release carbon from the ocean and move it into the air To store carbon in glaciers and snow
Carbon sequestering technology has the main purpose of being used To remove carbon from the air and put it into the ground.
Find out more below.
What is carbon sequestering?Carbon Sequestering refers to various processes that are used to remove the carbon in the air. This carbon is then stored in various places such as the ground and the oceans.
Carbon Sequestering happens naturally such as the process of photosynthesis. Thanks to Carbon Sequestering technology however, humans are able to use the technology to reduce our carbon footprint on Earth.
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1. Technologies in the early 1800s not only
changed transportation but revolutionized what
as well?
a. black rights
b. the Constitution
c. women's rights
d. communication
The technologies that came in the early 1800s changed transportation and revolutionized D. Communication.
How did communication change in the 1800s?In the early 1800s, technology was making things better in the United States. The use of rail lines changed transportation by making many more areas accessible.
Thanks to this improvement in transportation, communication was also revolutionized. For instance, the rail lines made the Federal Postal Service better able to do its job. The Telegraph was also invented in the early 1800s (1844) and allowed for messages to travel much faster than ever before.
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Can someone help me in this please
Angles supplementary to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.
What are supplementary angles?Two angles are considered to be supplementary if their sums total 180 degrees. If two angles in geometry add up to 180 degrees, they are said to be supplementary angles. For instance, A and B are referred to as supplementary angles if A + B = 180°. When combined, supplementary angles always make a straight angle (180 degrees).So, angles supplementary to ∠3:
∠1 is supplementary to ∠3 (Straight angle)∠2 is supplementary to ∠3 (Inversely opposite angle)∠4 is supplementary to ∠3 (Straight angle)∠5 is supplementary to ∠3 (Adjacent angles)∠6 is supplementary to ∠3 (Alternate angles)∠7 is supplementary to ∠3 (Corresponding angle)(Refer to the image attached below)
Therefore, angles supplementary to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.
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How do to solve this problem? (The answer is 262 Hz) I don't need to know the question that it is asking. I just want to know how to solve the equation and its answer. I am a grade 10 student if this helps you.
Step-by-step explanation:
Given the formula below
[tex]undefined[/tex]please help with this homework
Answer:
a.) x = 5
b.) x = 35/2 = 17.5
Step-by-step explanation:
In both problems, we are trying to solve for x, which means we need to isolate it on one side of the equation.
a.) 5/2 x + 1 = 11
5/2 x = 10
Now to divide by a fraction is the same as multiplying by the reciprocal.
x = 10 * 2/5 = 4
b.) 2/7 x - 3 = 2
2/7 x = 5
To divide by a fraction is the same as multiplying by the reciprocal.
x = 5 * 7/2 = 35/2 = 17.5
5y/3 = 30 solve for y simplify your answer as much as possible
Answer: y= 18
Step-by-step explanation:
5y/3 = 30
First step: multiply 3 on both sides
5y/3 * 3 = 30*3
5y = 90
Second step: divide 5 on both sides (isolating variable)
5y/5 = 90/5
y = 18
Answer:
y = 18
Step-by-step explanation:
[tex]\frac{5y}{3}[/tex] = 30 ( multiply both sides by 3 to clear the fraction )
5y = 3 × 30 = 90 ( divide both sides by 5 )
y = 18
If x = 6 and y = 4, work out the value of the following:
4x + y
2y squared
( x - y ) squared
Step-by-step explanation:
If x = 6 and y = 4. Substitute x and y in the expression.
4x+y
4(6)+(4)
24+4
28
2y²
2(6)²
2(36)
72
( x - y )²
(6+4)²
(10)²
100
4. In the graph below, what is the line of reflection for triangle XYZ and triangle X'Y'Z"? (1 point)
the x-axis
Othe y-axis
Ox=2
Oy=2
In the graph given, the line of reflection for the triangle XYZ and triangle X'Y'Z' is x=2.
Given, the coordinates of the triangle XYZ are:
X = (4,5)
Y = (6,3)
Z = (3,2)
and the coordinates of the triangle X'Y'Z' are:
X' = (0,5)
Y' = (-2,3)
Z' = (1,2)
for image of the triangle XYZ to get reflected and become X'Y'Z',
reflection of axis takes place.
But the images are not identical and symmetrical, so the reflection is not about y axis.
we check for x=2
hence reflection of axis when x=a is :
P(x,y) →x'(2a-x , y)
therefore use the above formula and check the coordinates of the reflected image.
X(4,5) when x=2X(4,5) → X'(2(2)-4 , 5)
x(4,5) → X'(0,5)
Y(6,3) when x=2Y(6,3) → Y'(2(2)-6 , 3)
Y(6,3) → Y'(-2,3)
Z(3,2) when x=2Z(3,2) → Z'(2(2)-3 , 2)
Z(3,2) → Z'(1,2)
hence x=2 is the reflection of triangle XYZ and X'Y'Z'.
Therefore we get the requires answer.
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Write the equation of the line in fully simplified slope-intercept form.
Answer:
Step-by-step explanation:
Choose two points on the graph: (-6,-7) and (6,-9)
The straight line equation is: y=mx+b
[tex]\displaystyle\\\boxed {The\ slope\ m=\frac{y_2-y_1}{x_2-x_1} }\\\\x_1=-6\ \ \ \ x_2=6\ \ \ \ \ y_1=-7\ \ \ \ y_2=-9\\\\m=\frac{-9-(-7)}{6-(-6)} \\\\m=\frac{-9+7}{6+6} \\\\m=\frac{-2}{12} \\\\m=-\frac{1}{6}\\\\Hence,\ y=-\frac{1}{6}x+b\ \ \ \ \ (1)[/tex]
To determine the coefficient b, take any of the two points,
for example (-6,-7), that is, x=-6 y=-7
Substitute these values into formula (1):
[tex]\displaystyle\\-7=-\frac{1}{6}(-6) +b\\\\-7=1+b\\\\-7-1=1+b-1\\\\-8=b\\\\Thus,\ b=-8\\\\The\ result\ is\ y=-\frac{1}{6}x-8[/tex]
Describe the correlation:
r = -.009
strong positive
weak negative
weak positive
moderate negative
The correlation for r = -0.009 is B. weak negative.
What is correlation?The Pearson correlation coefficient (r) is the most commonly used metric for determining a linear relationship. It is a number ranging from -1 to 1 that indicates the strength and direction of a link between two variables. When one variable shifts, the other shifts in the same way.
Positive correlation is graded on a scale of 0.1 to 1.0. Weak positive correlation would be between 0.1 and 0.3, moderate positive correlation between 0.3 and 0.5, and strong positive correlation between 0.5 and 1.0. The stronger the positive correlation, the more probable the equities will move in unison. Having a minus means it's negative correlation.
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The sum of two rational numbers is 4. If one of the numbers is 2/3, then what is the other number
Answer:
10/3
Step-by-step explanation:
Let x be the value of the second rational number. The first rational number is 2/3, and we are told that the sum of these numbers is 4:
x + 2/3 = 4
Therefore:
x + 2/3 = 4
x = 4 - 2/3
x = 12/3 - 2/3
x = (10/3)
PLEASE HELP URGENT!!!!
Answer:
Step-by-step explanation:
answer is the first one: square root property of equality
BTS zzz
Answer:
Reflexive property of equality
Step-by-step explanation:
look at the image
HELP.
i want to know how to do all this "graph the slope equations" stuff. i need it as soon as you can, pls tell me the answer, how to do it, and tell me how it makes sense in SIMPLE FORM. I know its a lot but i need it. A piece of paper showing all the work would be nice too<3 <3 i will give brain points to the best answer.
9th grade Algebra 1
Answer:
y = 1/2x - 1
(fraction form)
or
y = 0.5x - 1
(decimal form)
Step-by-step explanation:
To graph:
Start at (0, 0), or the origin, which is in the center of the coordinate plane.Move over x units to the right or left. Then, move over y units up or down. Mark the point.If you're working with a linear equation, draw lines connecting points from left to right. For a quadratic equation, connect points with curved lines.Another suggestion, is to use Desmos Graphing Calculator (website) and just plug in the points to see where to graph.
Hope this helps! :)
in these number grids two numbers are added to get th number below. example 13 +12=25.write the number in the grid to make it correct 4+?+9+?+?=35
Answer:
7+7+8
Step-by-step explanation:
9+4=13
35-13=22
22÷3 because they are three question mark
so 7 r 1
. .
. 4+7+9+7+8 =35
Solve three-fourths + two-sixths = ___.
five-tenths
five-twelfths
twelve-twelfths or 1
thirteen-twelfths or one and one-twelfth
The value of three-fourths + two-sixths is thirteen-twelfths or one and one-twelfth. Option D
What is a fraction?A fraction can be defined as a part of a whole set or element.
There are several types of fractions which includes;
Simple fractionsComplex fractionsMixed fractionsProper fractionsImproper fractionsExamples of simple fractions; 1/ 2, 1/6
Examples of proper fractions; 2/3, 4/7
Examples of improper fractions; 4/3, 3/2
Examples of mixed fractions; 2 1/ 4, 7 1/2
From the information given, we have that;
3/ 4 + 2/ 6
Find the lowest common multiple
9 + 4 /12
13/ 12
Hence, the value is 13/12
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4z+7 what is the value of z
Answer: it could literally be anything
Step-by-step explanation: if 4*z+7=15 then z=2
4х-бу=-26
-2x+3y=13
5. Find the equation of the line joining the points A(5, 7) and B(8, 12).
Given:
There are given that the two points:
[tex]A(5,7),and,B(8,12)[/tex]Explanation:
According to the question:
We need to find the equation of the line:
Then,
To find the equation of the line, first, we need to find the slope of the line.
So,
From the formula of the slope of the line:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where,
[tex]x_1=5,y_1=7,x_2=8,y_2=12[/tex]Then,
Put all the values into the given formula:
So,
[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{12-7}{8-5} \\ m=\frac{5}{3} \end{gathered}[/tex]Then,
From the formula of the equation of the line:
[tex]y-y_1=m(x-x_1)[/tex]Then,
Put the value of m into the above equation:
So,
[tex]\begin{gathered} y-y_{1}=m(x-x_{1}) \\ y-7=\frac{5}{3}(x-5) \\ 3y-21=5(x-5) \\ 3y-21=5x-25 \end{gathered}[/tex]Then,
[tex]\begin{gathered} 3y-21=5x-25 \\ 3y-21+21=5x-25+21 \\ 3y=5x-4 \\ y=\frac{5}{3}x-\frac{4}{3} \end{gathered}[/tex]Final answer:
Hence, the equation of line is shown below:
[tex]y=\frac{5}{3}x-\frac{4}{3}[/tex]What is the solution set for -3x + 12 < 4x - 9
A) x > 21
B) x > 3
C) x < -3
D) x < -21
Answer:
C) x < -3
Step-by-step explanation:
-3x +12 < 4x - 9
-3x -4x < -12 - 9
-7x < -21
x > -3
Missy rode her bicycle 16 miles in 1 1/4 hours. What was her average speed in miles per hour
Answer: 12.8 miles per hour
Step-by-step explanation:
divide 16 by 1.25 in order to get your answer
A 150-pound person uses 5.2 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 240
calories?
Answer: 37.31 minutes
Step-by-step explanation:
Solve for b.49 = b 2b = = 1or
√49 = +/- 7
√16 = +/- 4 as you calculated
Congrats, you did it!
PLS HELPPPPPP
Points A(8, 4) and B(−7, 4) are located on a coordinate plane. Graph the pair of points. Then find the distance between them and complete the explanation.
If the point A(8,4) and B(-7,4) are located one the coordinate plane. Then the graph has been plotted and the distance between the points is 15 units
The first point = A(8,4)
The second point = B(-7,4)
Plot the point on the coordinate plane
The distance between the two points d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where d is the distance between the two points
[tex](x_1,y_1)[/tex] is the coordinates of the first point
[tex](x_2,y_2)[/tex] is the coordinates of the second point
Substitute the values in the equation
The distance d = [tex]\sqrt{(-7-8)^2+(4-4)^2}[/tex]
= [tex]\sqrt{(-15)^2}[/tex]
= 15 units
Hence, If the point A(8,4) and B(-7,4) are located one the coordinate plane. Then the graph has been plotted and the distance between the points is 15 units
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solve for z
6(x-h)=z
Answer: I hope these two answers help please mark me brainlist
Step-by-step explanation:
Simplifying
z = 6(x + -1h)
Reorder the terms:
z = 6(-1h + x)
z = (-1h * 6 + x * 6)
z = (-6h + 6x)
Solving
z = -6h + 6x
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Simplifying
z = -6h + 6x
or another answer
6(x-h)=z
Distribute 6 through the parentheses
6x-6h=z
Swap the sides of the equation
Z= 6x-6h
Brickhouse is expected to pay a dividend of $3.30 and $2.52 over the next two years, respectively. after that, the company is expected to increase its annual dividend at 4.2 percent. what is the stock price today if the required return is 11.6 percent?
The company’s stock price today would be $33.46.
Dividend per share for the first 2 yearsDividend per share Year 1 (D1) = $3.30 per share
Dividend per share Year 2 (D2) = $2.52 per share
Calculation of Stock Price for the Year 2 (P2)Stock Price for the Year 2 (P2) = D2(1 + g) / (Ke – g)
= $2.52(1 + 0.042) / (0.1160 – 0.042)
= $2.63 / 0.0740
= $35.48 per share
The Stock Price todayThe company’s stock price is the Present Value of the future dividend payments and the present value the stock price for the year 2
The Stock Price = D1/(1 + r)1 + D2/(1 + r)2 + P2/(1 + r)2
= $3.30/(1 + 0.1160)1 + $2.52/(1 + 0.1160)2 + $35.48/(1 + 0.1160)2
= [$3.30 / 1.1160] + [$2.52 / 1.24546] + [$35.48 / 1.24546]
= $2.95 + $2.02 + $28.49
= $33.46 per share
Hence, the company’s stock price today would be $33.46.
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A) 35° B) 55° C) 70° D) 145° In the figure above, lines and m are parallel and lines s and t are parallel. If the measure of 21 is 35°, what is the measure of Z2?
If lines and m are parallel and lines s and t are parallel. If the measure of 21 is 35°, the measure of ∠2? is : D) 145°.
Parallel lineBased on the given figure ∠1 and ∠3 form a parallel line.
Now let determine the measure of ∠2
Hence,
∠1+∠3=180 °
35° +∠3= 180 °
∠3 = 180 ° - 35°
∠3 = 145 °
The corresponding angles is ∠4 = ∠3 = 145 °
∠ 2 an ∠ 4 are as well a corresponding angles
So,
∠2 = ∠4 = 145 °
Therefore the we can conclude that the correct option is D.
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