Final answer:
This answer explains how to calculate the Mean Absolute Deviation (MAD) for a given data set and determines the MAD for the provided set of numbers.
Explanation:
Mean Absolute Deviation (MAD) measures the average difference between each data point and the mean of the data set.
To calculate MAD:
Find the mean of the data set: (68 + 72 + 77 + 64 + 69 + 76) / 6 = 72.67
Find the absolute difference for each data point: |68 - 72.67|, |72 - 72.67|, |77 - 72.67|, |64 - 72.67|, |69 - 72.67|, |76 - 72.67|
Add up all the absolute differences and divide by the total number of data points: (4.67 + 0.67 + 4.33 + 8.67 + 3.67 + 3.33) / 6 = 4.67
The Mean Absolute Deviation for the given data set is 4.67. Therefore, option c- 4 is the correct answer.
A swimming pool in the shape of a right rectangular prism measures 24 feet by 16 feet and is 4.5 feet deep across the entire pool. What is the volume of the swimming pool, in cubic feet?
72
108
324
1,728
Answer: D- 1,728
Step-by-step explanation: I did the quiz
Answer:
d
Step-by-step explanation:
What is the radian measure of an angle of 132°?
Answer:
11/15 pi radians
Step-by-step explanation:
To convert from degrees to radians, multiply by pi/180
132 * pi/180
11/15 pi
Answer:
2.304 radians
hope this helps :)
The equation h(t)= -16t^2+864t models the path of a rocket shot into the air. After how many seconds does the rocket hit the ground?
Answer:
t = 54 seconds
Step-by-step explanation:
The equation that models the path of a rocket into the air is given by :
[tex]h(t)= -16t^2+864t[/tex]
It is required to find the time after which the rocket will hit the ground. When it hits the ground, the height of the rocket will becomes zero. It means,
h(t) = 0
i.e.
[tex]-16t^2+864t=0\\\\16t(-t+54)=0\\\\16t=0, -t+54=0\\\\t=0\ and\ t=54\ s[/tex]
It means after 54 seconds, the rocket will hit the ground.
What dose equal -7+4(-4)=?
Answer:
-23
Step-by-step explanation:
PEMDAS says to multiply first, so we multiply 4 by -4 and get -16.
Now the equation is -7 - 16. Change the subtraction sign into addition and the negative 16 into a positive, and the equation is -7 + -16.
-7 + -16 is -23.
If the hypotenuse of a right triangle measures 15 cm and one of the legs measures 12 cm, what is the length of the other leg?
Step-by-step explanation:
12 to the 2nd power=144
15 to the 2nd power =225
225-144=81
square root of 81 is 9
Aubrey is selling collection of art and makes a 12% commission on all sales. What would her commission be on the sales of a $ 3250 collection of art?
Answer:
$390
Step-by-step explanation:
3250 x 0.12 = 390
Answer:
The answer is $390
If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
10
12
20
24
Answer:
The answer is 20
Step-by-step explanation:
Given that the smallest angle of rotation for a regular hexagon is 18°. We are to find the number of sides of the polygon. Since the polygon is regular, so all its sides and angles are equal.
Answer:
its 20
Step-by-step explanation:
got it right on my test
A train leaves at 11.15 and arrives at its destination at 12.23. If the train travelled 95 km, what was it's average speed in km/h? Give your answer rounded to 1 dp.
Answer:
Average speed v = 83.8 km/h
Step-by-step explanation:
Given;
Distance travelled = 95 km
Time taken t = 12.23 - 11.15 = 1 hour 8 minutes
t = 1 + 8/60 hours = 1.133 hours.
Average speed v = distance travelled/time taken
substituting the values;
v = 95 km ÷ 1.133 hours
Average speed v = 83.8 km/h
André buys 12 apples at $1 each. He uses a coupon for $1.50 off the total purchase. How much did André spend on apples?
A $10.50 B $11.00 C $11.50 D $12.00
Please HELP LOTS OF POINTS
Question:
Clay bought a baseball card in 2001 for $50. In 2016, the card's value was $500. Determine the average annual rate (r) of appreciation to the nearest whole percent. Show all work.
Answer:
67%
Step-by-step explanation:
500=50*x*15
500=750*x
500/750=x
.666666666=x
.67=x
67%=x
If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w circle r) (x)?
(negative infinity, 0 right-bracket
(negative infinity, 2 right-bracket
Left-bracket 0, infinity)
Left-bracket 2, infinity)
Answer:
[tex](-\infty, 0)[/tex]
Step-by-step explanation:
(w circle r) (x) is the composite function(w of r(x)), that is, w(r(x))[/tex]
We have that:
[tex]r(x) = 2 - x^{2}[/tex]
[tex]w(x) = x - 2[/tex]
Composite function:
[tex]w(r(x)) = w(2 - x^{2}} = 2 - x^{2} - 2 = -x^{2}[/tex]
[tex]-x^{2}[/tex] is a negative parabola with vertex at the original.
So the range(the values that y assumes), is:
[tex](-\infty, 0)[/tex]
The range of (w circle r) (x) will be (-∞,0). Option A is correct.
What is a function?A connection between independent variables and the dependent variable is defined by the function.
Functions help to represent graphs and equations. A function is represented by the two variables one is dependent and another one is an independent function.
The relation between them is shown as y if dependent and x is the independent variable;
Given functions;
[tex]\rm r(x) =2- x^2 \\\\ w(x) =x-2[/tex]
The composite function is found as;
[tex]\rm w(r(x))=w(2-x^2 = 2-x^2-2)\\\\ w(r(x))= -x^2[/tex]
-x² is graphed and shows the negative parabola
The range of (w circle r) (x) will be (-∞,0).
Hence, option A is correct.
To learn more about the function refer to the link https://brainly.com/question/12431044.
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Find the area of the figure. Round to the nearest tenth
Each half of the drawbridge is about 284 feet long. How high does the drawbridge rise when x is 30?? The drawbridge rises about feet. Question 2 How high does the drawbridge rise when x is 45?? Round the answer to the nearest hundredth. The drawbridge rises about feet. Question 3 How high does the drawbridge rise when x is 60? ? Round the answer to the nearest hundredth. The drawbridge rises about feet.
Answer:
height = 142.00 ft
height ≈ 200. 82 ft
height ≈ 245.95 ft
Step-by-step explanation:
The picture below represent the image of the draw bridge. The illustration will form a right angle triangle. The hypotenuse is each half of the drawbridge which is 284 ft long. The opposite side of the triangle is facing the drawbridge half leg and the adjacent side is horizontal length. This is the side that made the angle with the drawbridge half leg(hypotenuse).
The question ask us to find the height of the drawbridge when it rise which is the opposite sides of the triangle when the angle is 30° , 45° and 60°.
Using SOHCAHTOA principle,
Angle 30°
sin 30° = opposite/hypotenuse
sin 30° = height/284
cross multiply
height = 0.5 × 284
height = 142.00 ft
Angle 45°
sin 45° = height/284
height = 284 × 0.70710678118
height = 200.818325857
height ≈ 200. 82 ft
Angle 60°
sin 60 = height/284
cross multiply
height = 0.86602540378 × 284
height = 245.951214675
height ≈ 245.95 ft
The question asks about the height a drawbridge rises at different angles. This is a trigonometry problem that can be solved by using the sine of the angle to calculate the height of the bridge when raised. The height corresponds to the 'opposite' side in a right triangle formed by the raised drawbridge.
Explanation:This question appears to be asking about how high a drawbridge rises based on an angle, x, which is a trigonometry problem. Assuming that the drawbridge forms a right triangle when it rises, the height can be calculated using the sine of the angle, x. Sine of x is equal to the opposite side (height of the bridge when it is raised) over the hypotenuse (half of the drawbridge's length).
Applying these trigonometric principles, calculations for each scenario would look like the following:
For x = 30 degrees: Height = sin(30) * 284 feet = 142 feet. For x = 45 degrees: Height = sin(45) * 284 feet = 200.71 feet (rounded to the nearest hundredth). For x = 60 degrees: Height = sin(60) * 284 feet = 245.98 feet (rounded to the nearest hundredth). Learn more about Trigonometry here:
https://brainly.com/question/11016599
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A grain silo is 56% full. At the end of the week, it is 3/4 full. What percent of the silo was filled that week?
Answer:
75 percent
Step-by-step explanation:
3/4 = 75%
75 - 56 = 19%
19%Mark, Paul and Brian share some sweets in the ratio 1:3:5. Mark gets 14 sweets. How many did Brian get?
Answer:
70
Step-by-step explanation:
mark = 1 1 times 14 = 14
Brian = 5 5 times 14 = 70
Brian receives 70 sweets, as Mark's 14 sweets represent 1 part of the ratio 1:3:5, indicating that 1 part equals 14 sweets and Brian's 5 parts equal 70 sweets.
Mark, Paul, and Brian share sweets in a ratio of 1:3:5, which means that for every sweet Mark gets, Paul gets 3, and Brian gets 5. Since Mark gets 14 sweets, we can use this information to calculate how many sweets Brian gets. First, let's find out what one 'part' of the ratio is worth by dividing the number of sweets Mark gets by his ratio number:
Mark's sweets (14) / Mark's ratio (1) = 14 sweets per ratio part.
Next, determine Brian's share by multiplying the sweets per ratio part by Brian's ratio number:
Brian's share = sweets per ratio part (14) * Brian's ratio (5) = 70 sweets.
Therefore, Brian gets 70 sweets.
Please help me I have been stuck on this question for ages
Answer:28 green and 35 red
Step-by-step explanation:
Given
If there are r red counter and g green counter then
Probability of drawing a green counter is [tex]P(g)=\frac{4}{9}[/tex]
and [tex]P(g)=\frac{\text{No of g counter}}{\text{Total no of counter}}[/tex]
Thus [tex]\frac{\text{No of g counter}}{\text{Total no of counter}}=\frac{4}{9}[/tex]
[tex]\frac{g}{g+r}=\frac{4}{9}[/tex]
[tex]\Rightarrow 9g=4g+4r[/tex]
[tex]\Rightarrow 5g=4r\quad \ldots(i)[/tex]
Also if 4 red and 2 green counter is added the probability of drawing a green counter is
[tex]P(g)=\frac{10}{23}=\frac{\text{No of g counter}}{\text{Total no of counter}}[/tex]
[tex]\Rightarrow \frac{10}{23}=\frac{g+2}{g+2+r+4}[/tex]
[tex]\Rightarrow \frac{10}{23}=\frac{g+2}{g+r+6}[/tex]
[tex]\Rightarrow 10g+10r+60=23g+46[/tex]
[tex]\Rightarrow 10r+14=13g\ quad \ldots(ii)[/tex]
Substitute the value of g in equation (ii)[/tex]
[tex]\Rightarrow 10\times \frac{5}{4}g+14=13g[/tex]
[tex]\Rightarrow \frac{25}{2}g+14=13g[/tex]
[tex]\Rightarrow g=28[/tex]
Therefore [tex]r=35[/tex]
Thus there 28 green counter and 35 red counter
Easy Question, Easy points
Topic: Volume
Use the other attached paper to help u find formula
Focus on question Scenario 3
Answer:
see below
Step-by-step explanation:
A can is a cylinder
V = pi r^2 h
The diameter is 6.4 we want the radius
r = d/2 = 6.4/2 = 3.2
V = 3.14 * (3.2)^ * 12.3
V =395.48928 cm^3
1 cm^3 = 1ml
V = 395.48928 mL
A can of soda has 355 mL
We are over estimating because the can narrows on the ends and the height is actually shorter because the ends do not have volume but are metal to contain the soda. We also did not take into account the curve in the bottom of a can of soda.
Answer:
395.48928 cm³
40.48928 cm³ greater than an actual can
Step-by-step explanation:
Volume of can:
pi × r² × h
3.14 × (6.4/2)² × 12.3
395.48928 cm³
Actual can: 355 cm³
395.48928 - 355 = 40.48928 cm³
Your math teacher asks you to help calculate the height of the gulf coast on your football field you and your partner gather the measured as shown find the height of the top of the goal post round to the nearest 10th of a foot
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image for the step by step explanation for the answer to the question
A rectangle has a length of 7.5 inches and a width of 3 inches. This rectangle is dilated by a scale factor of 2.2 to create a new rectangle. What are the dimension of the new rectangle? Length and Width
Answer:
For this case is the rectangle is dilated a factor of 2.2 we assume that the expansion is in all the dimensions so then the new length and width are:
[tex] L_f = 2.2 L_i= 2.2* 7.5 in = 16.5 in[/tex]
[tex] W_f = 2.2 w_i = 2.2 * 3 in = 6.6 in[/tex]
Step-by-step explanation:
The area of a rectangle is given by [tex] A = L *W[/tex]
For this case is the rectangle is dilated a factor of 2.2 we assume that the expansion is in all the dimensions so then the new length and width are:
[tex] L_f = 2.2 L_i= 2.2* 7.5 in = 16.5 in[/tex]
[tex] W_f = 2.2 w_i = 2.2 * 3 in = 6.6 in[/tex]
And the area would be (2.2)^2 times the initial area since is defined as [tex]A = L_f W_f [/tex]
Answer:
The length and the width of the new rectangle are 16.5 inches and 6.6 inches respectively
Step-by-step explanation:
Given
Shape: Rectangle
[tex]Length = 7.5 inches[/tex]
[tex]Width = 3 inches[/tex]
[tex]Scale factor = 2.2[/tex]
Required
Dimension of the new rectangle
The dimensions of the new rectangle can be solved by multiplying the scale factor by the old dimensions;
This means that
New Length = Scale factor * Old Length
and
New Width = Scale factor * Old Width
Calculating the new length
New Length = Scale factor * Old Length
Substitute 2.2 for scale factor and 7.5 for old length; This gives
[tex]New Length = 2.2 * 7.5 inches[/tex]
[tex]New Length = 16.5 inches[/tex]
Calculating the new width
New Width = Scale factor * Old Width
Substitute 2.2 for scale factor and 3 for old width; This gives
[tex]New Width = 2.2 * 3 inches[/tex]
[tex]New Width= 6.6 inches[/tex]
Hence, the length and the width of the new rectangle are 16.5 inches and 6.6 inches respectively
Find lim x -2 f(x) for: a . f(x) = 9 b. f(x) = x
Answer:
Step-by-step explanation:
Given the limit function
Lim x → 2: f(x)
1. When f(x) = 9
Then,
From limit theorem
Lim x → xo: K = K
Where k is a constant. Then, the limit of a constant is that constant.
Lim x → 2: 9 = 9
So limit is 9.
2. Lim x → 2: f(x)
Lim x → 2: x
When x = 2
Lim x → 2: 2 = 2
Then, x = 2.
Bill plans to save for a pair of headphones that are $89.00. The sales tax rate is 8%. How much will Bill need to save? i'll give you brainliest and five star
Answer:
96.12
Step-by-step explanation:
89x.0.08 is 7.12 add that to 89 gives you 96.12
What are the restrictions of the domain gºh?
Answer:
The restrictions partly depend on the type of function.
You can’t divide by 0
You can’t take the square (or other even) root of a negative number, as the result will not be a real number.
In what kind of functions would these two issues occur?
the function is a rational function and the denominator is
0
for some value or values of x,
f ( x ) = x + 1 2− x
is a rational function
the function is a radical function with an even index (such as a square root), and the radic and can be negative for some value or values of x.
f ( x ) = √ 7 − x
is a radical function
The following table gives examples of domain restrictions for several different rational functions.
Hope this helped
Answer:
The answer is 6.
Step-by-step explanation:
3/10 is what number of 9
Answer:
30
Step-by-step explanation:
unknown number = x
3/10 × x = 9
3x/10 = 9
3x = 90
x = 30
Answer:
2.7 or 2 7/10.
Step-by-step explanation:
9 * 3/10
= 27 / 10
= 2.7.
4/9 times 9/3 can someone please answer this question
Answer:
36/27
Step-by-step explanation:
simplified is 4/3
solve the system of equations y=2x -4,y = -x+2
Answer:
(2,0)
Step-by-step explanation:
Solve by graphing:
Use a graphing tool to graph the lines y=2x -4 and y = -x+2.
The lines intercept at point (2,0).
Therefore, the solution to the set of equations is (2,0).
[tex]x=2\\y=0[/tex]
Brainilest Appreciated!
Answer:
(0, -4) and (2,0)
Step-by-step explanation:
In how many wages can the starting six players of a volleyball team stand in a row for a picture
A:6
B:36
C:720
Use what you know about domain to select all of
the following functions that could be the one
graphed.
f(x) - 3
f(x) - V1
Ax) = VX+1
(x) = 3x-3
Answer:A & B
Step-by-step explanation:
Francesca has already knit 28 centimeters of scarf, and can knit 7 centimeters each night. How many nights will Francesca have to spend knitting in order to knit a total of 42 centimeters of scarf?
Answer:
2 nights
Step-by-step explanation:
We need to find how many nights Francesca will have to spend to knit the rest of the scarf.
First, we have to find how much she has left to knit, and then find how many nights it will take her.
She has already knit 28 centimeters of scarf.
She wants to knit a total of 42 centimeters of scarf.
Therefore, the length of scarf left to knit is:
42 - 28 = 14 centimeters
She can knit 7 centimeters each night.
Therefore, the number of nights more she needs to knit 14 centimeters is:
14 / 7 = 2 nights
She will spend 2 nights to knit a total of 42 centimeters of scarf.
Day 1: Day 2: Comparison of Day 1 and Day 2: ____ < _____ or _____ > _______ Comparison of days with absolute value: ____ < _____ or _____ > _______
Answer:
Step-by-step explanation:
Hello!
Full text:
Here are the low temperatures (in degrees Fahrenheit) for one week in Montreal, Canada:
-3.5ºF, 5ºF, 1.5ºF, -0.5ºF, -2ºF, 2.5ºF, -4ºF
Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
You have to choose two days at random and compare the values of temperature registered those days and compare them, for example:
Day 1: 3rd day: 1.5ºF
Day 2: 7nth day: -4ºF
Comparison of Day 1 and Day 2:
Remember:
"<" indicates that the value from the left is less than the value from the right.
">" indicates that the value from the left is greater than the value from the right.
The temperature registered on Day 1 is 1.5ºF and the temperature registered on Day 2 is -4ºF, as you notice the second temperature is negative and therefore is less than the first temperature:
1.5ºF > -4ºF
Comparison of days with absolute value:
To compare absolute values you have to disregard the sign and consider only the number of the temperature:
|Day 1|= |1.5ºF|
|Day 2|= |4ºF|
Then the registered temperature of Day 1 is less than the registered temperature on Day 2:
|1.5ºF| < |4ºF|
I hope this helps!
Answer:
-4ºF and 1.5ºF
Step-by-step explanation:
Tara has a magnet collection from places she visited. She measures the length of the magnets to the nearest half inch and records the data in a line plot. Are more magnets longer than 2 1/2 inches or shorter than 2 1/2 inches? Explain
Answer:
there are more magnets that longer than 2 1/2
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
From the photo, we can see that:
Length of the magnet:
1 inch there is 1 magnet[tex]1\frac{1}{2}[/tex] inches there are 2 magnets2 inches there are 3 magnets 3 inches there are 4 magnets [tex]3\frac{1}{2}[/tex] there is 1 magnet4 inches there are 2 magnets=> the total number of magnets that longer than 2 1/2 are: 4+1+2 = 7
=> the total number of magnets that shorter than 2 1/2 are: 1+2+3 = 6
Hence, there are more magnets that longer than 2 1/2
Hope it will find you well.
Answer:
Step-by-step explanation: