Answer: 3
Order the numbers
Before: 2, 9, 1, 7, 8,9
After: 1, 2, 7, 8, 9, 9
Sum divided by the count.
Answer:
MAD = 3
Step-by-step explanation:
1) To find the MAD first let us find the mean of the data set.
mean = Sum of the elements of the data ÷ No. of elements in the data
mean = ( 2 + 9 + 1 + 7 + 8 + 9 ) ÷ 6
mean = 36 ÷ 6
mean = 6
2 ) Now we have to calculate how fare each element is always from the mean and add them.
Note : use the absolute value because distance is always positive.
Let us find it.
( 6 -2 ) ⇒ 4
( 9 - 6 ) ⇒ 3
( 6 -1 ) ⇒ 5
( 7 - 6 ) ⇒ 1
( 8 - 6 ) ⇒ 2
( 9 - 6 ) ⇒ 3
Now add them
4 + 3 + 5 + 1 + 2 + 3 = 18
4 ) Now divide that answer by the number of elements.
MAD = 18 ÷ 6
MAD = 3
What is the GCF of 6 and 35
Answer:
The GCF is 1
Step-by-step explanation:
Step 1: Find the factors of both 6 and 35
6 → 1, 2, 3, 6
35 → 1, 5, 7, 35
To find the factors, both of the sets should have the same number. The highest number that is in both sets is the GCF. So... I have the GCF bold on top to show that the answer is 1.
Answer: The GCF is 1
Farmer Brown and Farmer Green were talking over their fence one afternoon. Farmer Brown said, "If you gave me one of your cows, we would have the same number of cows." Farmer Green said, "If you gave me one of your cows, I would have twice as many cows as you." How many cows do they have in total?
Farmer Brown has 5 cows and farmer Green has 7 cows
Step-by-step explanation:
Let the no. of cows farmer brown has be 'b'
Let the no. of cows farmer green has be 'g'
Given that,
B+1 = G-1
G = B + 2
G+1 = 2(B-1)
G+1 = 2B - 2
G = 2B -3
B + 2 = 2B - 3
2 + 3 = 2B - B
B = 5
G = B +2
G = 5 + 2
G = 7
Farmer Brown has 5 cows and farmer Green has 7 cows
1) 2(4 + 9w) =?
help me pls!
Answer:
8+18w
Step-by-step explanation:
Use the distributive property.
2*4 + 2*9w = 8+18w
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Consider this enlargement. 2 trapezoids. Side A corresponds to 20 centimeters, side B corresponds to 25 centimeters, and a side with length 4 centimeters corresponds to a side with length 10 centimeters. Use the measurements of the scale drawing and original to calculate the scale factor, and then use the scale factor to find the length of side B What is the length of side B? cm
Answer:
the answer is 10
Step-by-step explanation:
Answer:
Its 10
Step-by-step explanation:
just did on edge hope it helps :)
azul bought 10 reams of paper at the store for $84. The tax on the purchase is $4. What was the cost of each ream of paper. Which equation can you use?
10r + 4 = 84
10r - 84 = 4
4 ( 10r) = 84
4 - 10r = 84
Answer:
should be A
Step-by-step explanation:
Answer:The answer is 10r-84=4
Step-by-step explanation:
A basketball player makes 70% of his free throws the random numbers below represent 20 trials for a simulation let the numbers 0 to 6 represent a made free throw and let 7 to 9 represent a missed free throw use this simulation to estimate the probability that the player makes both free throws. (5,5) (0,6) (9,6) (7,4) (9,1) (7,3) (0,4) (9,3) (2,9) (1,4) (6,8) (5,3) (1,7) (1,7) (1,8) (3,5) (7,2) (2,1) (0,6) (1,8)
Answer:
Step-by-step explanation:To estimate the probability that the player makes both free throws based on the given simulation results, we can analyze the number of successful free throws (numbers 0 to 6) in each trial. From the provided data, we can identify the trials where both free throws were successful (made), indicated by the numbers 0 to 6 occurring twice in a row. Let's examine the data:(5,5) (0,6) (9,6) (7,4) (9,1) (7,3) (0,4) (9,3) (2,9) (1,4) (6,8) (5,3) (1,7) (1,7) (1,8) (3,5) (7,2) (2,1) (0,6) (1,8)Based on this data, we can see that the combinations where both free throws were made (0 to 6 occurring twice in a row) are:
(5,5) (1,8)Therefore, there are 2 trials out of 20 where the player made both free throws.To estimate the probability, we can divide the number of trials where both free throws were made (2) by the total number of trials (20):Probability = Number of successful trials / Total number of trials
Probability = 2 / 20
Probability = 0.1Therefore, based on this simulation, the estimated probability that the player makes both free throws is 0.1 or 10%.
The probability that the player makes both free throws is 55%.
Given data:
To estimate the probability that the player makes both free throws, count the number of trials where both free throws were made and divide it by the total number of trials.
Looking at the given random numbers, the pairs (5,5), (0,6), (9,6), (7,4), (9,3), (2,9), (1,4), (6,8), (5,3), (3,5), and (7,2) represent made free throws.
On counting the number of trials where both free throws were made, there are 11 pairs.
Since there are 20 total trials, the estimated probability of the player making both free throws is:
11/20 = 0.55
Hence, the estimated probability that the player makes both free throws is 0.55 or 55%.
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Find the area of the regular 15-gon with radius 5mm
1.Perimeter: [tex]\( P ≈ 31.05 \, mm \)[/tex]
2. Apothem: [tex]\( a ≈ 4.89 \, mm \)[/tex]
3. Area: [tex]\( Area ≈ 75.91 \, mm^2 \)[/tex]
So, the area of the regular 15-gon with a radius of 5 mm is approximately [tex]\( 75.91 \, mm^2 \).[/tex]
To find the area of a regular polygon, you can use the formula:
[tex]\[ Area = \frac{1}{2} \times Perimeter \times Apothem \][/tex]
Where:
- Perimeter is the total length of all the sides of the polygon.
- Apothem is the distance from the center of the polygon to the midpoint of any side.
For a regular polygon, the apothem can be calculated using trigonometry. In this case, the regular 15-gon (also called a pentadecagon) has 15 equal sides.
Let's break down the steps:
1. Calculate the Perimeter:
The perimeter of a regular polygon with ( n ) sides can be calculated as [tex]\( P = n \times s \)[/tex], where ( s ) is the length of each side. Since we're given the radius of the polygon, we need to calculate the length of one side using trigonometry.
2. Calculate the Apothem:
The apothem of a regular polygon can be calculated using the formula:
[tex]\[ a = r \times \cos\left(\frac{\pi}{n}\right) \][/tex]
where ( r ) is the radius of the polygon, and ( n ) is the number of sides.
3. Plug the values into the Area Formula:
Once you have both the perimeter and the apothem, you can plug them into the area formula and calculate the area.
Let's do the calculations:
1. Calculate the Perimeter:
The length of one side ( s )) can be calculated using trigonometry. Since we're dealing with a 15-gon, each interior angle is[tex]\( \frac{(15-2) \times 180°}{15} = 156° \).[/tex]
Using the law of cosines:
[tex]\[ s = 2 \times r \times \sin\left(\frac{180°}{15}\right) \][/tex]
[tex]\[ s = 2 \times 5 \times \sin(12°) \][/tex]
[tex]\[ s ≈ 2 \times 5 \times 0.207 ≈ 2.07 \, mm \][/tex]
So, the perimeter (( P )) is:
[tex]\[ P = 15 \times 2.07 ≈ 31.05 \, mm \][/tex]
2. Calculate the Apothem:
[tex]\[ a = 5 \times \cos\left(\frac{\pi}{15}\right) \][/tex]
[tex]\[ a = 5 \times \cos(12°) \][/tex][tex]\[ a = 5 \times \cos\left(\frac{\pi}{15}\right) \][/tex]
[tex]\[ a ≈ 5 \times 0.978 ≈ 4.89 \, mm \][/tex]
3. Plug the values into the Area Formula:
[tex]\[ Area = \frac{1}{2} \times 31.05 \times 4.89 \][/tex]
[tex]\[ Area ≈ \frac{1}{2} \times 31.05 \times 4.89 ≈ 75.91 \, mm^2 \][/tex]
So, the area of the regular 15-gon with a radius of 5 mm is approximately [tex]\( 75.91 \, mm^2 \)[/tex].
A circle with radius 4 centimeters.
What is the area of this circle in terms of pi?
8Pi cm2
16Pi cm2
32Pi cm2
64Pi cm2
Answer:
= 16 pi cm²
Step-by-step explanation:
Area of a circle = pi × r ²
Where r = radius = 4cm
Therefore
Area = pi × 4² cm²
Area = pi × 4 × 4 cm²
Area = pi × 16 cm²
Area = 16 pi cm²
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the product of 5 and w
Answer:
0
Step-by-step explanation:
Write as a decimal. Some will be repeating decimals
1/3
Answer:
0.3 repeating
Step-by-step explanation:
to find the decimal equivalent of a fraction you have to take the numerator (top number) and divide it by the denominator (bottom number)
If (-5+z) is positive, but (-6+z) is negative, what is one number that z could be?
The number that satisfies both conditions (-5+z being positive and -6+z being negative) given in the question is z = 6.
Explanation:To solve this problem, we use the clues given in the question that (-5+z) is positive and (-6+z) is negative. A number, when added to -5, resulting in a positive one, must be greater than 5. However, when the same number is added to -6, it results in a negative answer, meaning it must be less than 6.
Considering both conditions and finding a number that meets them, we can see that z = 6 is the only possible option. This is because 6 is greater than 5 making -5+6 positive. However, since 6 is equal to 6, -6+6 equals zero, and zero isn’t considered negative, thus satisfying both conditions.
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Worksmith is offering a $25 mail-in rebate on the purchase of a power drill. If the sellingprice is $149.54, what is the final price after the mail-in rebate?
Consider the quadrilateral BCEF inscribed in circle A. Diagonals EB and CF intersect at point D.
Quadrilateral BCEF in circle A with diagonals EB and CF is given below.
Step-by-step explanation:
From the diagram, quadrilateral BCEF is a cyclic quadrilateral.
Opposite angles if a cyclic quadrilateral sum up to 180°
m∠ECB + m∠EFB=180
The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent
m∠CDB≅m∠EDF
Also sum of angles in triangle CBD is 180°.
m∠CDB +m∠DCB+m∠CBD =180
Select all the equations where n= 6 is a solution.
Choose 3 answers:
4=10-n
3=n/2
12=n+7
8n=48
5+n=8
The correct equations where n=6 is the solution are: 4 = 10 - n, 3 = n / 2, and 8n = 48. This is determined by substituting n = 6 into every equation and checking if both sides equate.
Explanation:The topic being explored here is identifying the proper equations with n = 6 as the solution. This involves plugging in the value of n (which is 6) into each equation and checking if the equation holds true.
4 = 10 - n becomes 4 = 10 - 6, which simplifies to 4 = 4. This is true. 3 = n / 2 becomes 3 = 6 / 2, which simplifies to 3 = 3. This is true. 12 = n + 7 becomes 12 = 6 + 7, which simplifies to 12 = 13. This is false. 8n = 48 becomes 8*6 = 48, which simplifies to 48 = 48. This is true. 5 + n = 8 becomes 5 + 6 = 8, which simplifies to 11 = 8. This is false.
Therefore, the correct equations where n = 6 is the solution are: 4 = 10 - n, 3 = n / 2, and 8n = 48.
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Please help me. Explanation needed.
Answer:
D, 1250 square feet
Step-by-step explanation:
Area of a circle:
[tex]\pi * r^2[/tex]
Diameter is twice the radius, so the radius is 20 ft.
Thus the area of grass is 400pi
Answer:
The answer is D
Step-by-step explanation:
You are basically looking for the area of this circle, the formula would be A=Pi*r^2. So plug the values in and it would be, A=3.14*400, we know the radius is 20 because the diameter is double that, and square the radius, this gives you 400.
How do you simplify 12/7
Answer: you can’t it is 12/7
Step-by-step explanation:
Answer:
You cant simplify 12 and seven since they dont have common factors,however you can divide which also applies as a simplification method
Step-by-step explanation:
12/7=1.71
What are the different ways to combine the possible areas to find the area of the composite figure? Multiply the area of the rectangle by 2. Add the area of the rectangle with the area of the triangle. Multiply the area of the triangle by 2. Divide the area of the rectangle by 2.
Answer:
B. Add the area of the rectangle with the area of the triangle.
Step-by-step explanation:
Simple Answer..
The possible areas to find the area of the composite figure is; Add the area of the rectangle with the area of the triangle and Multiply the area of the rectangle by 2.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The composite figure is made up of two shapesas; a rectangle and a triangle. To determine the total area of the composite figure, we can use one of the methods:
First Add the area of the rectangle with the area of the triangle:
We can find the area of the rectangle by multiplying its length and width. We can determine the area of the triangle by multiplying its base and height and then dividing by 2.
Once we get both areas, we can add them together to find the total area of the composite figure.
Multiply the area of the rectangle by 2:
Since the composite figure consists of two rectangles, we can determine the area of one rectangle and then multiply it by 2 to get the total area of the composite figure.
Therefore, by area, the answer will be x2 area of the rectangle and sum of the area of the rectangle and triangle.
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HELP!!!! Need help with this!!
Answer:
x=45
Step-by-step explanation:
so use the formula a²+b²=c²
the a is 6
the b is x (unknown)
the c is 9
6² is 36, and 9² is 81
to find the missing side subtract a (36) from c (81)
the answer is x=45
Which points are on the graph of f(x) = RootIndex 3 StartRoot x EndRoot? Check all that apply. (–27, –3) (–1, 1) (0, 0) (1, 1) (3, 27)
Answer:
(-27,-3) (0,0) (1,1)
Step-by-step explanation:
Because I got it right xD
Answer:
Just DID THIS!!!Here are your answers,
(-27,-3)
(0,0)
(1,1)
Step-by-step explanation:
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Harry plans to paint the triangular portion of
the side of his house. How many square feet
does he need to paint?
Please I really need help on this question, it would mean a great deal to me for any help.
Answer:
25
Step-by-step explanation:
Find the volume of both boxes
V = base * height
Bigger box
base = 50 * 30 = 1500
1500 * 20 = 30,000
Smaller box
b= 10 * 30 = 300
300 * 4 = 1200
30,000 / 1200= 25
Travis is at a carnival and has a chance to win a goldfish. He can either roll 2 or 3 on a six-sided fair die or pick either an A or B out of a hat which contains letters A, B, C, D, and E. Which game should Travis play to win a goldfish? Explain.
Answer:
Travis should pick to play the hat game.
Step-by-step explanation:
You would need to evaluate the probablity of winning in each option
Option 1 (rolling die)
p(roll 2 or 3)=2/6
p(roll 2 or 3)=1/3=.33
Option 2 (pick letters)
p(pick A or B) = 2/5
p(pick A or B) = .4
.33<.4
Since option 2 with picking letters has a higher chance of winning, then Travis should play the second game to win the goldfish as a higher chance of winning makes it easier for him to win the prize.
4. The perimeter of a rectangle is 42 yards.
The difference of the length and width of
the rectangle is 7 yards. Find the length
and width.
Answer:
Step-by-step explanation:
Let width = x
Length = 7 + x
Perimeter = 42 yards
2*(length + width) = 42
2* ( 7 + x + x) = 42
7 + 2x = 42/2
7 + 2x = 21
2x = 21 - 7
2x = 14
x = 14/2
x = 7
Width = 7 yards
Length = 7 + 7 = 14 yards
Will give brainiest if answered plzz helppp!!!!
Answer:
5.375 square ft
Step-by-step explanation:
Side of squre = 5 ft
Diameter of semicircle = 5ft
Radius of semicircle (r) = 5/2 cm = 2.5 cm
Area of green part of logo = area of square - 2 times area of one semicircle
[tex] = {side}^{2} - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = {5}^{2} - 3.14 \times {(2.5)}^{2} \\ \\ = 25 - 3.14 \times 6.25 \\ \\ = 25 - 19.625 \\ = 5.375 \: {ft}^{2} \\ [/tex]
ASAP please help
What is the area of the triangle?
10◢8
6 Units2= btw this ┏ is on right side
Answer:
A=hbb /2
Step-by-step explanation:
Need help ASAP! PLSS
Answer:
i think u add them
Step-by-step explanation:
9+ 7+16=32
in the isosceles trapezoid the marked angles are called _______ angles
Answer:
Step-by-step explanation:
The indicated angles are 1) equal (because the trapezoid is isosceles), 2) acute (their measures are less than 90 degrees each), 3) congruent
factor polnomial 4p^2−16p+12
Answer:
4(p−1)(p−3)
Step-by-step explanation:
Factor 4p2−16p+12
4p2−16p+12
=4(p−1)(p−3)
Answer: (p-1)(p-3)
Step-by-step explanation:
See the answer below
-2=g-9
Please Help!!!
Answer:
g = 7
Step-by-step explanation:
you add 9 to 9 and cancle it out . then you add 9 to -2 and you get 7 = g . just switch it around and you get your answer .
Answer:
7=g
Step-by-step explanation:
adams closet measures 36 inches by 24 inches by 96 inches. what is the longest distance between corners inside his closet? round to the nearest tenth
The longest distance between corners inside his closet is 105.3 inches
Explanation:Adam's closet is given in the form of a rectangular prism as shown below. Here, we know that:
[tex]Length=L=26in \\ \\ Width=W=24in \\ \\ Height=H=96in[/tex]
The longest distance between corners inside his closet is given by the formula:
[tex]d=\sqrt{L^2+W^2+H^2} \\ \\ Substituting \ values:\\ \\ d=\sqrt{36^2+24^2+96^2} \\ \\ d=\sqrt{11,088} \\ \\ d=105.29 \\ \\ \\ \text{Round to the nearest tenth} \\ \\ d=105.3[/tex]
Then:
The longest distance between corners inside his closet is 105.3 inches