Answers
Answer: See the table below
========================================================
Explanation:
The first task is to sort the values from largest to smallest.
Doing so gets us this list
57, 51, 48, 46, 45, 44, 43, 41, 40, 39, 39, 38, 37, 36, 36, 35, 35, 34, 33, 32, 31, 29, 29, 28, 24, 21, 19, 18, 13, 8
Next, we look for values that are between 56 and 60. That would be the single value of 57. This means we have 1 tally mark for the first row and the frequency is 1.
After that, we look for values between 51 and 55. That would be the single value of 51. Like the previous row, we'll have a single tally and a frequency of 1.
The 46-50 group will have the values 48 and 46 in it, so we have two tally marks and a frequency of 2 for this row.
This process is continued until all the values are accounted for. Effectively you are sorting the values into the proper bins.
You should end up with the table below. The fourth column is optional. It helps show where all of the values are sorted (to help confirm we have the correct tallies and frequencies).
Related Questions
what is the value of x for 3x^2 - x + 9 = 0
Answers
Correct option is A)
Consider the given equation,
3
2x
+10.3
x
−9=0
Let ,y=3
x
Now ,
y
2
−10y+9=0
y
2
−9y−y+9=0
y(y−9)−1(y−9)=0
(y−9)(y−1)=0
When,
x−9=0
x=9
Now ,
9=3
x
3
2
=3
x
x=2
When,
y−1=0
y=1
3
x
=1
3
x
=3
0
x=0
x=0,x=2
This is the answer
1 In general, given
a
x
2
+
b
x
+
c
=
0
ax
2
+bx+c=0, there exists two solutions where:
x
=
−
b
+
b
2
−
4
a
c
2
a
,
−
b
−
b
2
−
4
a
c
2
a
x=
2a
−b+
b
2
−4ac
,
2a
−b−
b
2
−4ac
2 In this case,
a
=
3
a=3,
b
=
−
1
b=−1 and
c
=
9
c=9.
x
=
1
+
(
−
1
)
2
−
4
×
3
×
9
2
×
3
,
1
−
(
−
1
)
2
−
4
×
3
×
9
2
×
3
x
=
2×3
1+
(−1)
2
−4×3×9
,
2×3
1−
(−1)
2
−4×3×9
3 Simplify.
x
=
1
+
107
ı
6
,
1
−
107
ı
6
x=
6
1+
107
,
6
1−
107
To get access to all 'How?' and 'Why?' steps, join Cymath Plus!
x
=
1
+
107
ı
6
,
1
−
107
ı
6
x=
6
1+
107
,
6
1−
107
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer. 64m 86m
Answers
To solve this problem, we have to find the area of the semi circles and the area of the rectangle and add them up together.
The area of the field is equal to 8719.36m^2
Area of the FieldLet us start by finding the area of the rectangle.
Data;
width = 86mlength = 64mArea of a rectangle is given as
[tex]a = length * width \\a = 86 * 64\\a = 5504m^2\\[/tex]
The area of the rectangle is 5504m^2
Area of the semicircle
The formula of a semi circle is given as
[tex]A = \frac{1}{2} \pi r^2[/tex]
But since we have two semi circles here, we can simply multiply it by two and the formula becomes
[tex]A = 2 * \frac{1}{2} \pi r^2\\A = \pi r^2[/tex]
But in the question, we have the diameter of the semi circle as the length of the rectangle.
[tex]radius = \frac{diameter}{2} \\radius = \frac{64}{2} \\radius = 32m[/tex]
The radius of the semicircle is 32m
Area of the semicircle is
[tex]A = \pi r^2\\A = 3.14 * 32^2\\A = 3215.36m^2[/tex]
The area of the field is
[tex]area of field = 3215.36 + 5504\\area = 8719.36m^2[/tex]
The area of the field is equal to 8719.36m^2
Learn more on area of rectangle and semi circle here;
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does anyone know the answer?
Answers
Answer: Choice A
40.61 square meters
==========================================================
Explanation:
The area of a full circle is
A = pi*r^2
meaning half of it (aka semicircle) will have this area
A = 0.5*pi*r^2
The diameter of the semicircle is 5.4 meters, which divides in half to get the radius of r = 2.7
The semicircle has an area of...
A = 0.5*pi*r^2
A = 0.5*3.14*(2.7)^2
A = 11.4453
which is approximate since pi = 3.14 is approximate.
Now compute the area of the triangle
area = base*height/2 = 5.4*10.8/2 = 29.16
Then add those sub-areas to get the grand total area.
semicircleArea + triangleArea = 11.4453+29.16 = 40.6053
That rounds to 40.61 which shows why choice A is the answer.
the perimeter of a rectangle is 84cm if the width of rectanle is 16 cm Find its lenth
Answers
Answer:
26 cm
Step-by-step explanation:
Formula for Perimeter
Perimeter = 2(Length + Width)Solving (given Perimeter is 84 cm and width is 16 cm)
84 = 2(Length + 16)42 = Length + 16Length = 42 - 16Length = 26 cmAnswer:
L= 26cm
Step-by-step explanation:
Perimeter= 2(l x w)
Perimeter= 84cm
Width= 16cm
Length=?
84= 2l + 32
2l = 84-32
2l= 52
L= 52/2
L= 26cm
What is the quotient?
-3/8 divided -1/4
Answers
Answer:
3/2 or 1.5
Step-by-step explanation:
(-3/8) ÷ (-1/4)
Copy dot flip
=(-3/8)* (-4/1)
=12/8
=3/2 or 1.5
Sarah makes a red hair bow using 21 4/5 inches of ribbon. She makes a purple hair bow using 18 1/4 inches of ribbon.
How much more ribbon is used to make the red hair bow than the purple hair bow?
Answers
Answer:
91/20 or 4 11/20
Step-by-step explanation:
First, convert the 2 amounts into improper fractions
Red: 21 4/5 = 114/5
Purple: 18 1/4 = 73/4
Then, using cross multiplication, you can give them the same denominator
Red: 114/5 = 456/20
Purple: 73/4 = 365/20
Then just subtract the numerators and keep the denominator
456/20 - 365/20 = 91/20
So your answer is
91/20 or 4 11/20
simplify −4+x≤9 PLEASEE
Answers
Answer: HEYAA :))
I THINK YOUR ANSWER IS x≤13
Step-by-step explanation:
Solve for x by simplifying both sides of the inequality, then isolating the variable.
HOPEFULLY THIS HELPS YOOUUU
- MATTHEW ~^^
- - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Simplify -4+x≤9.
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
❖ Add 4 on both sides:-
x≤9+4
x≤13
✯ So the values of x less than or equal to 13 will make this inequality true.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - -
Suppose we want to choose 3 letters, without replacement, from the 4 letters A, B, C, and D.
Answers
Answer:A) 24 waysB) 4 waysStep-by-step explanation:a) permutation occurrs when order of choices matters.N = 4P3 = 4!/(4-3)! = 4!/1!N = 24 waysb) combination occurs when order of choices doesn't matter.N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)N = 4 ways
Step-by-step explanation:
a) permutation occurrs when order of choices matters.N = 4P3 = 4!/(4-3)! = 4!/1!N = 24 waysb) combination occurs when order of choices doesn't matter.N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)N = 4 ways(hope this helps:)
Express 29 l 360 ml into ml.
Answers
Answer:
569 millimetres because 290 +36 ml is 569
Simplify [2 x (10+5)] - 5
Answers
Answer:
25
Step-by-step explanation:
[2 x (10+5)] - 5
[2 x (15)] - 5
[30] - 5
25
h(x) = (x2 − 49)(x + 4)
Answers
Answer:
h(x) = x³ + 4x² - 49x - 196
Step-by-step explanation:
h(x) = (x² - 49)(x + 4) <== distribute
h(x) = x²(x) - 49(x) + x²(4) - 49(4)
h(x) = x³ - 49x + 4x² - 196 <== rewrite in standard form (descending degrees)
h(x) = x³ + 4x² - 49x - 196
Hope this helps!
A couple Invested $6100 in an account some of it went into a savings account paying 3% annual simple interest . The rest was invested in a riskier mini - mall development plan paying 11% annual simple interest . The combined interest earned for the first year was $503 . How much money was invested at each rate ?
Answers
Answer:
4387.63
Step-by-step explanation:
What is the median of the set of data?
{131, 154, 204, 244, 244, 276, 263, 289, 288, 274, 207}
Enter your answer in the box.
Answers
A car rental company charges $120 plus $0.37 per mile, m. Which equation represents the total cost, c, of renting a car?
Answers
Explanation: 120 is the cost of the renting so you just add that to the total amount. Next, since it is 0.37 PER mile, you will have to multiply and add 0.37 to each mile that the car is driven.
the graph of y = (x) is shown below
Answers
Answer:
Step-by-step explanation:
Solution
The question is a bit obscure. The best choice I think, would be A. F(x) could equal something like y = x - 3. When y = 0, x = 3 or put the other way, when x = 3 y= 0.
Avani misses 5% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 4?
Answers
Answer:
She had a total of 80 throws.
Step-by-step explanation:
4x20 (20x5%=100%) = 80, so she had 80 throws.
the normal return on investment considered effective inflation and purchasing power inflation rate positive the normal rate return will be go to the real real return on investment
Answers
Answer:
What is the normal rate of return?
Normal rate of return . ' means the average rate of return that a firm would receive in an industry when conditions of perfect competition prevail.
Step-by-step explanation:
4.1 A bag contains 6 red, 4 green, 2 yellow and 3 blue balls. In each case, give the ratio (in simplest form) of the asked number of balls in the bag.( 4 ) 4.1.1 The number of red balls to the number of green balls.
Answers
The number of red balls to the number of green balls is 3 : 2
How to determine the ratio?The distribution of the balls is given as:
6 red, 4 green, 2 yellow and 3 blue balls
The number of red balls to the number of green balls is represented as:
Ratio = Red : Green
So, we have:
Ratio = 6 : 4
Simplify
Ratio = 3 : 2
Hence, the number of red balls to the number of green balls is 3 : 2
Read more about ratios at:
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Scientists are tracking the population of a specific species of bird. They have determined that the function P(x) = 575 (1.025)x models the number of birds, P(x), after x years. Which of the following is true about the brid?
Answers
31. (05.08 MC)
What is the equation for a geometric sequence with a first term of 3 and a second term of -9?
Answers
Answer:
[tex]a_n=3(-3)^{n-1}[/tex]
Step-by-step explanation:
Geometric sequence
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termr is the common ratioGiven:
[tex]a_1=3[/tex][tex]a_2=-9[/tex]To find the common ratio r, divide consecutive terms:
[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{-9}{3}=-3[/tex]
Therefore, the equation is:
[tex]a_n=3(-3)^{n-1}[/tex]
Find the sum of the first 14 terms of the finite geometric series given as:
0.5+ (-1) +2+...
Answers
The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5
How to determine the sum of the series?The series is given as:
0.5+ (-1) +2+...
The above series is a geometric series, with the following parameters:
First term, a = 0.5Common ratio, r = -2Number of terms, n = 14The sum of the first 14 terms is calculated using:
[tex]S_n= a *(1 - r^n) \div (1 - r)[/tex]
So, we have:
[tex]S_{14}= 0.5 *(1 - (-2)^{14}) \div (1 + 2)[/tex]
Evaluate
[tex]S_{14}= -2730.5[/tex]
Hence, the sum of the series is -2730.5
Read more about series at:
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Read each item carerur 1. What is the rule of the sequence: 7, 13, 19, 25, 31? A. Add 6 B. Subtract 6 C. Multiply by 2 D. Multiply by 3
Answers
Answer:
A.
Step-by-step explanation:
it’s add 6 because, 6 + 7 = 13 and 13 + 6 = 19 and it keeps on continuing this is how I know I am correct.
Answer:
the answer is A) Add 6
Step-by-step explanation:
you add so 7 plus 6 is 13 and 13 plus 6 is 19 and so it continues
hope this helps!!
The function y = log(x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?
please help
Answers
Answer: [tex]y=\log(x-1)-2[/tex]
Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. (x, y) = (−2, 10) and (x, y) = (4, −8) are points on the line
Answers
♪ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ♪
[tex]\textsc{heya!}[/tex]
☑︎ what we need to do:
find the equation of the line☑︎ what we are provided with:
two points on this line[tex]\textsc{solution:}[/tex]
equation: y=-3x+4[tex]\textsc{explanation:}[/tex]
first, these are the points on our line:
• (-2, 10) • (4, -8)
what we need at this moment is the gradient (slope) of the line.
remember, there's a little formula that will help us find the gradient:
[tex]\large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]
our values are:
• (-2, 10) and (4, -8)
after substituting the values into the above formula, we obtain
[tex]\large\text{$\displaystyle\frac{-8-10}{4-(-2)}$}[/tex]
after simplifying, we obtain
[tex]\large\text{$\displaystyle\frac{-18}{4+2}$}[/tex]
simplifying more,
[tex]\large\text{$\displaystyle\frac{-18}{6}$}[/tex]
dividing,
[tex]\large\text{$-3$}[/tex]
but that's only part of our problem. we need to find the equation, and we have the gradient only.
let's use the first point in our equation
• (-2, 10)
[tex]\large\text{$y-y_1=m(x-x_1)$}[/tex]m is the gradient.
this is what we obtain after substituting the values
[tex]\large\text{$y-10=-3(x-(-2)$}[/tex]
simplifying
[tex]\large\text{$y-10=-3(x+2)$}[/tex]
simplifying more
[tex]\large\text{$y-10=-3x-6$}[/tex]
moving 10 to the right side
[tex]\large\text{$y=-3x-6+10$}[/tex]
and finally
[tex]\large\text{$y=-3x+4$}[/tex]
[tex]\textsc{hopefully\:helpful}[/tex]
by: • [tex]\textsc{$d^an_ci^ng$}[/tex]
[tex]\textsc{have\:a\:great\:rest\:of\:your\:day\:ahead!}[/tex]
Find the area of the following figure.
300 cm2
312 cm2
252 cm2
400 cm2
Answers
Answer:
312cm2
Step-by-step explanation:
16*12=192
10*6/2=30
30*4=120
192+120=312
What is 28 percent as a fraction?
Answers
Answer:
28 as a fraction would be written as 56/2.
Step-by-step explanation:
The fraction can be written as 7/25.
Explanation:
Given Input Value = 28%
Place the Percentage Value at the top over 100. = 28/100
The given fraction is 28/100.
On reducing the fraction, we get the exact form 28/100. = 7/25
The exact form of the fraction is 7 /25.
Given f(a, b) = 3a2 – 2ab + 5b2 , determine (a) f(-2, 3) and (b) f(x+y, x-y)
Answers
Answer:
1) 45
2) 6x^2-4xy+10y^2
Step-by-step explanation:
1) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine (a) f(-2, 3)
Replace a with (-2) and b with (3):
3(-2)^2-2(-2)(3)+5(3)^2
3(4)-2(-6)+5(9) *Took care of exponents and performed some multiplication in the middle term.
12-12+45 *performed more multiplication
0+45 *additive inverses property applied
45 *performed some addition
2) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine f(x+y, x-y)
Replace a with (x+y) and b with (x-x-y):
3(x+y)^2-2(x+y)(x-y)+5(x-y)^2
*Explained binomial squares
3(x^2+2xy+y^2)-2(x+y)(x-y)+5(x^2-2xy+y^2)
*Expand product of the sum of two numbers with the difference of said numbers
3(x^2+2xy+y^2)-2(x^2-y^2)+5(x^2-2xy+y^2)
*Distribute
3x^2+6xy+3y^2-2x^2+2y^2+5x^2-10xy+5y^2)
*Combine like terms
6x^2-4xy+10y^2
Books cost $6.95 each. Mary had a $5 bill,a$1 bill.and 3 dimes.How much more money does she need to buy one book?
Answers
Answer:
65 cents
Step-by-step explanation:
5 + 1 + .30 = 6.30
6.95 - 6.30 = .65
Graph the inequality x < - 10/3
Answers
Answer:
Picture Below :)
Step-by-step explanation:
*ta da*
- Have a great day -
A cylinder has a volume of 200 cm³. If the height of the cylinder is 10 cm, what is the radius of the cylinder
Answers
Answer:
2.5
Step-by-step explanation:
The radius of a cylinder formula is
R = √(V / π × h)Plug in
R = √(200 / 3.14 × 10)So . .
R = √(6.4)R = 2.5
( I rounded to the tenth decimal place so you know!)