Answer:
The mean is decreased by 1.25.
The mode remains the same.
The median is decreased by 2 .
Step-by-step explanation:
Re arranging the data 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29.
Gives
14, 14,17,20, 21, 22, 25,25, 26, 27, 29,30,
Now the mean = 14, +14,+17, +20, +21,+ 22, +25,+25,+ 26, + 27, +29,+30/12
Mean= 270/12=22.5
The Mode ( the repeated value) = 14,25
Median ( the average of middle value) = 22+25/2= 23.5
When 30 is replaced is by 15
Now the mean = 14, +14, +15,+17, +20, +21,+ 22, +25,+25,+ 26, + 27, +29/12
The Mean becomes = 255/12=21.25
The Mode ( the repeated value) = 14,25
Median ( the average of the middle value) = 21+22/2= 21.5
The difference between the 2 means is = 22.5- 21.25= 1.25
The mode remains the same.
The median is decreased by 2 .
The mean is decreased by 1.25 which is more than 50 % of the value obtained between the ratio of the omitted and added value (30/15=) i.e. 2
A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.
Answer:
Apothem = 3.3 units
Step-by-step explanation:
A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.
The formula to find the area of a polygon when given Apothem and Side length =
A = 1/2 × a × p
Where p = no of sides of polygon × side length
In the above question,
We are given a polygon = nonagon = 9 sides
Side length = 7 units
p = 9 × 7 = 63 units
Area = 102.4 square units
Apothem = a = ?
We substitute into the formula
102.4 = 1/2 × a × 63
102.4 = 63a/2
Cross Multiply
102.4 × 2 = 63a
Divide both sides by 63
a = 102.4 × 2/63
a = 3.2507936508 units
Approximately to the nearest tenth = 3.3 units
15 if a die is rolled, what is the probability of getting an even number? P(even) number
What type of angles are 2 and 7?
A. Supplementary angles
B. Alternate exterior angles
C. Alternate interior angles
D. Vertical angles
Answer:
B: Alternate Exterior Angles
HELP FOUR MORE MINUTES LEFT ON MY TEST!
Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?
Answer:
7
Step-by-step explanation:
If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.
Gail ran 6/10miles on Saturday and 6 8/10 miles on Sunday. How many miles did Gail run over the weekend?
Answer:
7 2/5 miles
Step-by-step explanation:
6/10 + 6 8/10 = 6 14/10 = 7 4/10 = 7 2/5 miles
If 6 pounds of grapes costs $1.89, how much would 15 pounds of grapes cost?
Makenzie got a $30 gift certificate to the local theater for her birthday. Adult tickets (x) cost $8.00 and tickets for children (y) cost $4.50. Which inequality represents the number of adults and children who can go to a show using the $30 gift certificate?
The inequality that represents the number of adults and children who can go to a show using the $30 gift certificate is:
x < 4 and y < 7.
Where x is the number of children and y is the number of adults.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Makenzie got a $30 gift certificate to the local theater for her birthday. Adult tickets (x) cost = $8.00
Children's tickets (y) cost = $4.50
Now,
The number of children who can go to the theater.
4.50y = 30
y = 30/4.50
y = 6.67
This means,
y < 7 _____(1)
Now,
The number of adults who can go to the theater.
8x = 30
x = 30/8
x = 3,75
x < 4 ______(2)
Thus,
From (1) and (2).
The inequality represents the number of adults and children
x < 4 and y < 7.
Learn more about inequalities here:
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please i need a answer and u will get good deeds
Answer:
she uses 43 kilograms of clay in all
Step-by-step explanation:
4/6-3/8 zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
The answer is 7/24 ~hope this helps~
btw, sick pic B-)
Step-by-step explanation:
Martina will make flower arrangements with 3 roses in each arrangement. She will use the equation y = 3x to find the total number of roses she needs. What does x represent in the equation
X represents the number of arrangements.
please help me with this
Answer:
808+808=1616 340+340=680 then 1616-680=976
Step-by-step explanation:
you need to add 808 plus 808 which is 1616 then add 340 plus 340 which is 680, then subtract 1616-680 which is 976.
This is the homework problems!
1 1/2 - 2/5 ÷ 4 2/5 × 3/4
Answer:
1 19/44 (1.4318182)
Answer:
1 19/44
Step-by-step explanation:
The surface of a rectangular table has a perimeter 20 feet. Its area is 21 square feet. What are the dimensions of the table?
Answer:
7 and 3
Step-by-step explanation:
We know that all 4 sides have to add up to 20 and that 2 of the sides are the same because it's a rectangle. To find the area, we have to do length times width. Two different sides have to equal 21 when multiplied. The factors of 21 are 1, 3, 7, and 21. Let's try 1 and 21. We need an area of 21. 1 x 21 = 21 so it satisfies that. Now let's find the perimeter.21 + 21 + 1 + 1 = 44, but we need an perimeter of 20. Now, let's try 7 and 3. 7 x 3 = 21, so it satisfies the area. 7 + 3 + 7 + 3 = 20, so it also satisfies the perimeter. Therefore, 7 and 3 are the dimensions of the table.
Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D
Find the area of the shaded region in terms of x.
Answer:
35x^2 - 71x + 15
Step-by-step explanation:
look at the photo
Write the equation of the line in fully simplified slope-intercept form
b= (x+7) a= (x=1)=180 solve for angle a and b
b=(x+7)a=(x=1)=180 then 37
Find the value of x! First person to correctly respond gets brainliest!!
Answer:
180-33 = 147
Step-by-step explanation:
A rectangular photograph is 8 cm wide and 12 cm long. The photograph is enlarged by increasing the length and width byan equal amount in order to double its area. What are the dimensions of the new photograph?
a. 12 cm by 16 cm
b. 16 cm by 24 cm
C. 20 cm by 30 cm
d. 48 cm by 72 cm
Answer:
16 cm by 24 cm
Step-by-step explanation:
Well if you want an equal amount you will have to multiply both numbers by the same thing. I used 2 and 16 cm by 24 cm would be your answer.
The dimensions of the new photograph is b. 16 cm by 24 cm.
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
A rectangular photograph is 8 cm wide and 12 cm long.
The original area is
8 x 12 = 96
The photograph is enlarged by increasing the length and width by an equal amount in order to double its area.
The new area is 96 x 2 = 192
So the dimensions are b. 16 cm by 24 cm.
Learn more about the area;
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i missed a day of school and we started a new unit lol
Help 40 points!!! Brainlist!!!
Answer:
V=one third (3)(3)(5)
Step-by-step explanation:
Find the area of the figure and choose the appropriate result.
1 m
3.5 m
8 m
Answer:
Area if figure = 22 m²
Step-by-step explanation:
Given:
Length of rectangle = 8 m
Width of rectangle = 1 m
Base of triangle = 8 m
Height of triangle = 3.5 m
Find:
Area if figure
Computation:
Area if figure = Area of rectangle + Area of triangle
Area if figure = [l x b] + [(1/2)(b)(h)]
Area if figure = [8 x 1] + [(1/2)(8)(3.5)]
Area if figure = 8 + 14
Area if figure = 22 m²
Logan bought two pounds of strawberries for $11.20. What is the price, in dollars per ounce of strawberries?
Answer:
You will have to divide $11.20 by 32 ounces to find how much it is per ounce:
Each ounce of strawberries costs $0.35
Step-by-step explanation:
Answer:
Each ounce of strawberries will cost $0.35
Step-by-step explanation:
11.20/32 = 0.35
Please help with this question... Which expression is equivalent to x^3/2?
Answer: D
Step-by-step explanation:
Answer:
Solve (x+2/x-3);(x-2/x-3) Equating the equation to zero and taking out (x-3) as common denominator (x+2)(x-2)/ (x-3)2 Solving using the identities we get => (x2– 4)/(x2 -6x + 9)= 0 => (x2– 4)=(x2-6x + 9) => -4= -6x +9 => -4 -9= -6x => -13= -6x => 13=6x => x= 13/ 6
B(10,15) B´(4,6) Which type of transformation is that?
Lisa purchased almonds for $3.00 per pound and she spent $24.90. How many pounds of almonds did she purchase? The price went up to $3.50 a pound and lisa only had 25.00 how many pounds of almonds can she buy and whats her chance?
Answer:
1. Lisa purchased almonds for $3.00 and spent $24.90.
The quantity of almonds bought is therefore:
= Total amount spent / Cost per pound
= 24.90 / 3
= 8.3 pounds
2. If the price goes up to $3.50 per pound and the maximum Lisa can spend is $25, the number of pounds she can get is:
= Maximum amount for almonds / Price per almonds
= 25 / 3.5
= 7.14 pounds
Enter the resulting inequality.
13>-3; Subtract 13 from both sides.
The resulting inequality is
Answer:
10>-6
Step-by-step explanation:
Subtract 3 from both sides, 13-3=10, -3-3=6
The original inequality is true
Answer:
The answer is 0>-16
Step-by-step explanation:
[tex]13 > - 3 \\ 13 - 13 > - 3 -1 3 \\ 0 > - 16[/tex]
What is 1,198,145 rounded to the nearest ten thousand?
Answer: 1,200,000
Explanation:
The sum of two numbers is 52 and the difference is 12. What are the numbers?
Answer:
32 and 20
Step-by-step explanation:
x + y = 52
x - y = 12
2y = 40
y = 20
x = 32