Answer:
Mean: 3 Mad: 1/3
Step-by-step explanation:
First we need to find out the numbers, so to get a mean of 3 we have to get to 9 ebcause there are 3 arrows.
We have to make sure that the arrows are not too close to the centerYou can have decimals2nd: Once you find the numbers which are 2.5, 3, and 3.5 you add them together and divide it by 3 to get 3 the mean
3rd: Find the MAD but adding .5 and .5 to get 1 then divide it by 3 and you get 1/3 as the MAD.
Hope this helps!
The archer's mean distance in the second round is 1.6 inches and the MAD is 0.83 inches.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
Let's first recall that MAD stands for Mean Absolute Deviation, which is a measure of the variability of a set of data.
The MAD is calculated by taking the absolute value of the difference between each data point and the mean, and then finding the average of those absolute values.
Let the mean distance of the archer's arrows in the second round be m, and let the MAD be d.
In the first round, the archer's mean distance was 1.6 inches and the MAD was 1.3 inches.
This means that the absolute difference between each arrow's distance from the mean was, on average, 1.3 inches.
In the second round, the archer's arrows were farther from the center, so we expect the mean distance to be larger than 1.6 inches.
However, the arrows were more consistent, so we expect the MAD to be smaller than 1.3 inches.
To find the new value for the mean distance, we can use the fact that the sum of the distances from the mean is equal to zero. This means that:
3(m - mean) = 0
Solving for m, we get:
m = mean
Therefore, the mean distance in the second round is equal to the mean distance in the first round, which is 1.6 inches.
To find the new value for the MAD, we can use the fact that the variance (the square of the standard deviation) is equal to the average of the squared differences between each data point and the mean.
This means that:
Var = (1/3)(d²)
Since the arrows in the second round are more consistent, we expect the variance to be smaller than in the first round.
Therefore, we can set the new variance to be some fraction f of the old variance, and solve for the new value of d:
f(Var) = (1/3)(d²)
d² = 3f(Var)
d = √(3f(Var))
We don't know the exact value of f, but we do know that it is less than 1 since the variance is decreasing.
Let's assume that f = 0.5 for simplicity.
Using this value of f and the given values for the mean and MAD in the first round, we get:
Var = (1/3)(1.3³) = 0.56
d = sqrt(30.50.56) = 0.83
Therefore,
The archer's mean distance in the second round is 1.6 inches and the MAD is 0.83 inches.
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A
D
B
С
E
F
Are the two triangles similar is so what is the identity that proves it?
Question 2,4,6 I don’t understand the question
Step-by-step explanation:
2.
an isometry means the distance between any two points in the original space is the same as the distance between them in the second space.
rotation and translation are such isometries. they leave the original shape or curve unchanged in its inner structure but move it around.
so, the shapes in this question are visibly an isometry. the size and structure of the pre-image is the same as for the image. only its position changed.
4.
(x, y) -> (x-3, y+5) means that every point of the shape or curve is moved (translated) 3 units to the left (the x coordinate is decreased) and 5 units up (the y coordinate is increased).
6.
(x, y) -> (x+7, y-2) -> (x-3, y+2)
this means that first every point of the shape or curve is moved (translated) 7 units to the right and 2 units down, and then 3 units to the left and 2 units up.
in the end this means that every point moved 4 units to the right (no up or down changes, as the intermediate changes canceled each other out).
In gym class students were asked to form nine equal groups. If there were 16 students in each group, then how many total students were there?
Answer:
there are 144 students in total
Please help me asap I have attached a screenshot ( with explanation)
Answer:
306 m
Step-by-step explanation:
distance between her house and the third point:
280 - 10 = 270 m
distance between the third point and the beach:
164 - 20 = 144 m
We have a right triangle ,then we can apply the Pythagorean theorem:
[tex]\text{the distance between her house and the beach} =\sqrt{\left( 270\right)^{2} +\left( 144\right)^{2} } = 306\ m[/tex]
A swimsuit has been marked down from an original price of $75 to $56.25. By
what percent of the original price has the suit been marked down?
f(x)= 5^x reflection in the y-axis followed by a translation 2 units up
A function assigns the values. The translation of the function f(x) when it is moved 2 units up is (5ˣ+2).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function, f(x)=5ˣ. Now, if the function is needed to be translated by 2 units, then +2 is needed to be added to the overall value of f(x). Therefore, the function will become,
f(x) = 5ˣ
f(x) = 5ˣ + 2
Hence, the translation of the function f(x) when it is moved 2 units up is (5ˣ+2).
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Nathaniel has a toy car collection of 480 toy cars. He keeps 216 of the toy cars on his wall. What percentage of Nathaniel's toy car collection does he keep on his wall?
Answer:
45%
Step-by-step explanation:
216/480
216 ÷ 480
= 0.45
0.45 × 100
= 45%
please help and explain
Answer:
Step-by-step explanation:
Remark
These two angles are related by the supplement of corresponding angles. So they add to 180.
Equation
<1 + <2 = 180
2x + 4 + 8x - 14 = 180
Givens
<1 = 2x + 4
<2 = 8x - 14
Solution
<1 + <2 = 180 Substitute the givens into this equation
2x + 4 + 8x - 14 = 180 Combine like terms
2x + 8x + 4 - 14 = 180
10x - 10 = 180 Add 10 to both sides
10x-10+10 = 180+10 Combine
10x = 190 Divide by 10
10x/10 = 190/10
x = 19
Answer: x = 19
Expanded form for 0.817
Answer:
Your number written in expanded form is:
0.8
+ 0.01
+ 0.007
Answer:
0.8
+ 0.01
+ 0.007
Step-by-step explanation:
I think
BRAINLIEST!!! no links, they'll be reported
Complete the factorization of 3x2 – 10x 8. 3x2 – 10x 8 = (x – )( x – 4)
The factorization of the given expression, 3x² - 10x + 8, is expressed completely as: (x - 2)(3x - 4).
How to Factorize an Expression?Given the expression, 3x² - 10x + 8, to factorize, follow the steps below:
Find two factors that will give you -10 when you add them and also give you 24 when you multiply them. Let's use -6 and -4.
3x² - 6x - 4x + 8
(3x² - 6x) - (4x + 8)
3x(x - 2) - 4(x - 2)
(x - 2)(3x - 4)
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Answer:
2 and 3
Step-by-step explanation:
can i have some help with this question
Answer:25
Step-by-step explanation:
f(x) = x² - 5x + 1f(-3) = (-3)² - 5(-3) + 1f(-3) = 25
anyone knows the answer?!
Answer:
Domain: All real numbers
Range: y≤5
Step-by-step explanation:
Domain: All real numbers (it can be all x values)
Range: y≤5 (the y values can be 5 or less.)
Which is the correct answer?
Answer:
Kings and hearts
Step-by-step explanation:
Two events are said to be mutually exclusive if they cannot occur at the same time:
Tossing a coin is not mutually exclusive because you need two events for mutual exclusion to occurChoosing a random card is not mutually exclusive you need two events for mutual exclusion to occurTurning left and turning right are mutually exclusive because you cannot do both actions at the same timeKings and hearts are not mutually exclusive because it is possible to select a King of hearts with one card.please help guys anything will be helpful
[tex]~~~~~2^{x+1} = 3^x\\\\\implies \ln \left(2^{x+1}\right) = \ln\left(3^x \right)\\\\\\\implies (x+1) \ln 2 = x \ln 3\\\\\\\implies \dfrac{x+1}x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies 1+ \dfrac 1x = \dfrac{\ln 3}{\ln 2}\\\\\\\implies \dfrac 1x = \dfrac{\ln 3 }{ \ln 2}-1\\\\\\\implies \dfrac 1x = \dfrac{ \ln 3 - \ln 2}{\ln 2}\\\\\\\implies x = \dfrac{\ln 2}{\ln 3 - \ln 2}\\\\\\\implies x \approx 1.7095\\\\\\[/tex]
A certain radioactive element has a half-life of 35 days. If you had 100 grams of this element, the mass m of the element after t 35-day intervals is represented by m=100(0.5)^t. Find the approximate daily decay rate of this element.
A. 1.4%
B. 98.0%
C. 17.5%
D. 2.0%
Answer:
2%
Step-by-step explanation:
m = 100(.5)^(1/35) = 98 so 2 % is gone after 1 day
How many inches/second are in
1.73 meters/minute?
Answer:
Step-by-step explanation:
103.8 seconds
68.11024 inches
Helppppppppppppppppppp
Answer:
X=Y since x and y are alternating angles
Find the radius of a circle in which the central angle, o, intercepts an arc of the given length s.
a= 90° s = 57m. Round final answer to nearest tenth.
How do you find the area of a 2x-3 square
Which number sequence follows the rule add 4 starting from 2?
what additional information do you need to prove ABC congruent DEF by the SAS postulate
Answer:
C , third choice
Step-by-step explanation:
SAS
Side AE Congruent to Side EC simple as that
Hope it helped ! Mark me as Brainliest pls !
[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
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[tex] \qquad \qquad \sf5 x = 95[/tex]
Answer:
......
Step-by-step explanation:
[tex] 5x = 95[/tex]
Divide both sides by 5:-[tex] \displaystyle{ \frac{5x}{5} = \frac{95}{5} }[/tex]
[tex]x = 19[/tex]
Answer:
19
__________________________________________________________
Divide 95 by 5
[tex]\frac{95}{5} = 19[/tex]
Now we know that x is 19, solve the whole problem optionally.
[tex]5 * 19 = 95[/tex]
__________________________________________________________
Tuesday.
Callie and her 4 friends have
20 bracelets they want to share
equally. How many bracelets
will each girl get?
Answer:
4
Step-by-step explanation:
callie and her 4 friends so you have to include callie which makes 5 people. 20/5 is 4 :)
Answer:
5 Each
Step-by-step explanation
There are 4 girls and they want to share so break the 20 in 5 4 times then u get 20 bck
11 Dani wants to buy cookies for her friend. The radius of a cookle is 5 Inches. What is the cookie's circumference? Round to the nearest tenth
Answer:
Around 31.4
Step-by-step explanation:
The circumference formula of a circle is C=2[tex]\pi[/tex]r. Plug the radius in which is 5. 5 times 2 is 10. 10 times pi would be around 31.4
solve the value of s (4s+8)54
Answer:
2
Step-by-step explanation:
Which Fractions have a Least Common Denominator of 45
A) 2/3, 1/6, 1/5
B) 2/3, 1/9, 1/15
C)2/3, 1/5, 1/3
D) 2/27, 1/7, 1/3
==========================================================
Reason:
For choice A, the LCD is 30 since
2/3 = 20/301/6 = 5/301/5 = 6/30We get 30 from the fact that 5*6 = 30. Notice 2/3 and 1/6 already have the LCD of 6. We could rewrite the 2/3 into 4/6 to help show this better. Effectively we want to find the LCD of 4/6, 1/6, 1/5
Cross choice A off the list because we want an LCD of 45 instead of 30.
--------------------
Choice B is the answer because
2/3 = 30/451/9 = 5/451/15 = 3/45What we can do is find the LCD of 2/3 and 1/9 to get 9. The 2/3 turns into 6/9. This means we need to find the LCD of 6/9, 1/9, and 1/15
Multiply the two unique denominators to get 9*15 = 135, then divide by the GCF 3 to get 135/3 = 45.
Recall that LCD(x,y) = (x*y)/GCF(x,y)
--------------------
We can stop here since we know choice B is the answer.
But if you wanted to continue, then the LCD of 2/3, 1/5 and 1/3 is 3*5 = 15. This rules out choice C.
Choice D can be ruled out because the LCD is 27*7 = 189.
A circle has a circumference of 33 inches. What is
the area of the circle?
Answer: Circle
Solve for area
A≈86.66in²
C Circumference
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=332
4·π≈86.65987in²
Step-by-step explanation:
best answer gets brainly ^^
Answer:
(6, 5)
Step-by-step explanation:
Coordinates are written in the form (x, y), where x is the x-axis value that the point is in, in this case 6, and where y is the y-axis value, in this case 5.
Answer:
the answer would be (6,5)
Directions: Determine the area of the shaded region of each figure. The polygons in each problem are regular polygons. You must include your calculations.
Problem 1
Imagine placing the nonpencil part of your compass at the center of both hexagons. Extend the compass so the pencil reaches the right-most point on the larger hexagon. Then sweep a full 360 degrees to form a circle. This surrounds the larger hexagon to form what is called the circumcircle. The circumradius is 6+6 = 12 feet.
If we know the circumradius r = 12 and the number of sides n = 6, then we can find the area of the larger regular hexagon using this formula
[tex]A = 0.5n*r^2*\sin(360/n)[/tex]
Your calculator must be in degree mode. This formula only works for regular polygons.
Let's use that formula to calculate the area of the larger regular hexagon.
[tex]A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*12^2*\sin(360/6)\\\\A \approx 374.122974[/tex]
Then do the same for the smaller regular hexagon that has circumradius of r = 6 this time. We still have n = 6 sides.
[tex]A = 0.5n*r^2*\sin(360/n)\\\\A = 0.5*6*6^2*\sin(360/6)\\\\A \approx 93.530744[/tex]
Now subtract the areas
374.122974-93.530744 = 280.59223
The green region has an area of roughly 280.59223 square feet.=========================================================
Problem 2
The formula we use here is
[tex]A = 0.25n*s^2*\cot(180/n)[/tex]
where
n = number of sides = 5 in this case for both figuress = side length = will be different values depending on which figure you focus on"cot" refers to the cotangent function, which is the reciprocal of tangent. Your calculator should support cotangent. If not, then you'd have to do 1/tan of the value of 180/n. In this case, n = 5 so 180/n = 180/5 = 36. So you either calculate cot(36) or 1/tan(36)Your calculator must be in degree mode.This formula only works on regular polygons. These are polygons with the same side lengths and same angles.Let's use that formula to calculate the area of the larger regular pentagon. It has side lengths of s = 8
[tex]A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*8^2*\cot(180/5)\\\\A = 0.25*5*8^2*\cot(36)\\\\A = 0.25*5*8^2*\frac{1}{\tan(36)}\\\\A \approx 110.110554\\\\[/tex]
The larger regular pentagon has area of roughly 110.110554 square cm.
Repeat those steps for the smaller pentagon where each side is now s = 6. Keep n = 5 the same.
[tex]A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*5*6^2*\cot(180/5)\\\\A = 0.25*5*6^2*\cot(36)\\\\A = 0.25*5*6^2*\frac{1}{\tan(36)}\\\\A \approx 61.937186\\\\[/tex]
Now subtract the two areas to get the area of the shaded green region.
110.110554 - 61.937186 = 48.173368
The green region has area of roughly 48.173368 square cm.