Answer:
b) 65.08
ii) 0.75
Step-by-step explanation:
x(Kg): 62 63 64 65 66 67 68
Frequency(f): 1 5 11 15 10 6 2
xf: 62 315 704 975 660 402 136
b) mean(X) = ∑xf/N = 3254/50 = 65.08
c) x - X : -3.08 -2.08 -1.08 -0.08 0.92 1.92 2.92
(x - X)²: 9.49 4.33 1.17 0.0064 0.85 3.69 8.53
ii) Standard deviation(S.D.): √(∑(x - X)²/N = √(28.0664)/50 = √0.5613
∴ S.D.= 0.75
What is an equation of the line that passes through the point (-5,-4) and is
perpendicular to the line 53 + 6y = 36?
Answer:
Submit Answer
attempt 1 out of 2
Answer:
6,25
Step-by-step explanation:
The cost of hat, pants, and sweater is $225. The pant cost $10 more than hat, and the sweater cost $10 more than the pants. What is the cost of the hat ?
Answer:
$65
Step-by-step explanation:
Let x represent the cost of the hat.
Since the pants cost $10 more than the hat, the cost can be represented by x + 10.
Since the sweater cost $10 more than the pants, the cost can be represented by x + 20.
Create an equation adding these all together and setting it equal to 225, then solve for x:
(x) + (x + 10) + (x + 20) = 225
3x + 30 = 225
3x = 195
x = 65
So, the hat cost $65
plz help with equation of the circle will award fastest CORRECT answer with brainliest
Answer:
[tex](x-1)^2+(y-2)^2=6.25[/tex]
Step-by-step explanation:
The equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h,k) is the center and r is the radius.
The center is the red dot, which is (1,2). Thus, h=1 and k=2.
To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (1,2) be x₁ and y₁ and let (2.5,4) be x₂ and y₂. Therefore:
[tex]d=\sqrt{(2.5-1)^2+(4-2)^2}\\d=\sqrt{(1.5)^2+2^2}\\d=\sqrt{2.25+4}\\d=\sqrt{6.25}=2.5[/tex]
Thus, r is 2.5.
Plugging these numbers into the equation, we have:
[tex](x-h)^2+(y-k)^2=r^2\\(x-1)^2+(y-2)^2=2.5^2\\(x-1)^2+(y-2)^2=6.25[/tex]
Solve.
d+e= 2
d-e = 4
Use the substitution method.
O There are an infinite number of solutions.
O There is no solution.
О
The solution is
(3. – 1).
(5, 1)
O The solution is
Step-by-step explanation:
let d+e=2 be equation 1
let d-e=4 be equation 2
lets make d the subject in equa 1
d = 2-e equation 3
put equation 3 in 2
2-e=4
e=2-4
e=-2
put e=-2 in equa 1
d-2=2
d=4
e is -2 and d is 4
A sample is generated from a population of 20 items. Each of the 20 items are given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample. This is an example of a __________.
A. systematic sample
B. random sample
C. convenience sample
D. self-selecting sample
Answer:
Option B, random sample
it should be the answer
The given information is an example of a random sample. The correct option is B.
What is a random sample?In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.
It is given that A sample is generated from a population of 20 items. Each of the 20 items is given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample.
The above information is an example of a random sample. Follow the given definition above.
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At Pontotoc Middle School there are only
7th and 8th graders. There are 15x + 13xy + 10y
students. There are 8x + 8xy + 8y 8th graders.
How many 7th graders are there?
Answer:
So what we need to do is find out how many are left after taking away the 8th graders.
15x - 8x = 7x
so we have part of that
7x
Then 13xy - 8xy
5xy
10y - 8y
2y
this means that for 7th graders its
7x + 5xy + 2y
Step-by-step explanation:
Answer:
7x + 5xy + 2y is the number of 7th graders in the school.
Step-by-step explanation:
We are told that the total number of students is 15x + 13xy + 10y for both, 7th and 8th grade. We are also told that there are 8x + 8xy + 8y 8th graders. Incase you weren't able to figure out by this detail, we need to subtract to find the answer. We need to subtract the total students, 15x + 13xy + 10y, from the 8th graders, 8x + 8xy + 8y.
The steps would look like this:
15x + 13xy + 10y
— 8x + 8xy + 8y
---------------------------
7x + 5xy + 2y
15 - 8 = 7
13 - 8 = 5
10 - 8 = 2
land and sea corporation has just purchased some shoreline property, and according to their calculations it will cost 2.5 times as much to develop the land as much as it did to buy it. If land and sea believe it will end up spending a combined total of $13,457,500 on both the land and its developments, how much must be the land alone have cost?
Answer:
5,383,000 / *improvments cost 8,074,500
Step-by-step explanation:
if 2.5 is by 'times' then,
13,457,500 / 2.5 =
5,383,000
Which means the cost of the land is 5,383,000
To check just multiply:
5,383,000 x 2.5 = 13,457,500
*Extra
13,457,500 - 5,383,000
= the cost of improvements = 8,074,500
Hope this helps, and have a good day :)
Answer:
$3,845,000
Step-by-step explanation:
Land cost = lDevelopment cost = dTotal cost = $13,457,500As per given:
d= 2.5 lThen total is:
l+2.5l= 134575003.5l= 13457500l= 13457500/3.5l= $3845000Cost of the land alone is $3,845,000
the vertex form of a function is g(x)=(x-3)^2+9
Answer:
(3,9) is the answer.
Step-by-step explanation:
given m||n, find the value of x
Step-by-step explanation:
3x+5+x-25=180°
4x=180°+20
x=50
Because m and n are parallel, we can use the supplementary angles theorem. This means that the two angles add up to equal 180°.
Knowing this, we can add the two angles together and they should equal 180:
(3x + 5) + (x - 25) = 180
4x - 20 = 160
4x = 160
x = 40
If needed, to find the angle measures, we can just plug in our x value to find the measures of the angles.
mister Limbu bought a bicycle for Rs2500 and he labelled it's price 20 Percent above the cost price if he allows 10percent disc
ount to a customer, find his profit percent
Answer: 8%
Step-by-step explanation:
Purchase Price is $2500
Ticket Price is $2500(1 + 20%)
= $2500(1.2)
= $3000
Discounted Price is $3000(1 - 10%)
= $3000(0.9)
= $2700
The profit made is $2700 - $2500 = $200
Profit Percentage is Profit ÷ Purchase Price: [tex]\dfrac{200}{2500}=0.8=\large\boxed{8\%}[/tex]
Determine if the product CA is defined, state it’s dimensions not the product
Answer:
Dimensions of the product matrix = (3 × 3)
Step-by-step explanation:
If matrix P having dimensions (m × n) and matrix Q having dimensions (n × r) are multiplied,
Dimensions of the product matrix PQ will have the dimensions as (m × r).
That means product of the two matrices are defined when columns of first matrix P is equal to the rows of the second matrix Q.
Following this rule,
Dimensions of matrix A = (2 × 3)
[ Rows × Columns]
Dimensions of matrix B = (3 × 3) [Rows of B = 3, columns of B = 3]
Dimensions of matrix C = (3 × 2) [Rows of C = 3, columns of C = 2]
Since columns of C and rows of A are equal.
Therefore, product of C and A is defined.
Product of the matrices C & A will have the dimensions as (3 × 3).
What are the amplitude, period, phase shift, and midline of f(x) = 7 cos(2x + π) − 3? (6 points) Amplitude = −3; period: π; phase shift: x = negative pi over 2 ; midline: y = 3 Amplitude: 7; period: π; phase shift: x = negative pi over 2 ; midline: y = −3 Amplitude: 7; period: 2π; phase shift: x = pi over 2 ; midline: y = 3 Amplitude: −3; period: 2π; phase shift: x = pi over 2 ; midline: y = −3
Answer:
So the amplitude is 7
The period is pi
The phase shift is negative pi/2
The midline is -3
Step-by-step explanation:
A trigonometric function is the same as
[tex]f(x) = a \cos(b(x + c)) - d[/tex]
Where a is the amplitude, 2 pi/ absolute value of b is the period, c is the phase shift, and d is the vertical shift or midline.
Given the function
[tex]7 \cos(2x + \pi) - 3[/tex]
The amplitude is 7, and the midline is -3. The period is
[tex] \frac{2\pi}{2} = \pi[/tex]
The phase shift is
[tex]2x + \pi = 0[/tex]
[tex]2x = - \pi[/tex]
[tex]x = - \frac{\pi}{2} [/tex]
So the amplitude is 7
The period is pi
The phase shift is negative pi/2
The midline is -3.
The fraction subtracted from 5/3 to get 1 is_____
Answer:
2/3
Step-by-step explanation:
I am not sure
Answer:
2/3Step-by-step explanation:
[tex]Let \:the \: unknown \: fraction \: be \: x\\\\\frac{5}{3} -x = 1\\\\\frac{5}{3}-x=1\\\\\mathrm{Subtract\:}\frac{5}{3}\mathrm{\:from\:both\:sides}\\\\\frac{5}{3}-x-\frac{5}{3}=1-\frac{5}{3}\\\\\frac{5}{3}-x-\frac{5}{3}=-x\\\\1-\frac{5}{3}=-\frac{2}{3}\\-x=-\frac{2}{3}\\\\x=\frac{2}{3}\\[/tex]
A shipping container is in the shape of a right rectangular prism with a length of 2.5 feet, a width of 13 feet, and a height of 11 feet. The container is completely filled with contents that weigh, on average, 0.55 pounds per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
Volume = 2.5 x 13 x 11
Volume = 357.5
357.5 x 0.55 = 196.625, which can be rounded up to 197.
So, the correct answer is 197 pounds.
Let me know if this helps!
Calliope solved the equation 4x+3=2x−8 using the steps shown below. She was asked to provide her reasoning by choosing the properties of equality that correctly justify her work. Help Calliope by matching her steps of work in the left column with the appropriate reason in the right column.
Answer:
4x + 3 = 2x -8
subtraction property of equality: 4x - 2x = -8 - 3
2x = -11
division property of equality: x = -11/2
8) There are 2116 students in a school .In how many equal rows and columns can they be arranged for a drill display?
Answer:
46
Explanation:
root of 2116
=46×46
Therefore 46 columns and 46 rows
Answer:
46 rows, 46 columns.
Step-by-step explanation:
First factor 2116:
2) 2116
2 } 2058
23 ) 529
23
2116 = 2*2*23*23
= 46 * 46
Simplify the following: a) [ -6 +22 – 6 + 8 ] ÷ ( -9 ) b) 400 ÷ { 40 – (-2) -3 – ( -1)} c) 40 x -23 + 40 x -17 d) 1673 x 99 – (-1673) e) 490 x 98
Step-by-step explanation:
a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )[ -6 +22 – 6 + 8 ] = 18
18 ÷ (-9) = -2
b) 400 ÷ { 40 – (-2) -3 – ( -1)}{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40
400 ÷ 40 = 10
c) 40 x -23 + 40 x -17(40 x 23) + (40 x -17)
920 + (-680)
= 240
d) 1673 x 99 – (-1673)(1673 x 99) + 1673
1673 x 100
= 167300
e) 490 x 98 = 48020Hope this helps ^-^
Translate this into an equation 4 times a number divided by eight is three
Answer:
Here is the equation 4x6/8=3
Answer:
4 x q ÷ 8 = 3
4 x 6 ÷ 8 = 3
(24) ÷ 8 = 3
I don’t know how to do this, please help! :) (10-12 or even just 10) I’m so tired and this is due in the morning pls help 25 points
Answer:
10) 3. 88 mi/hr11) 68. 57 mi/hrStep-by-step explanation:
10. RunningAverage speed formula: v= d/tgivens: 3 2/5 miles and 7/8 hour• change 3 2/5 to an improper fraction17/5• divide the givens by receprocating 7/8 and changing the sign to multiplication17/5 × 8/7= 136/35= 3. 88 mi/hr11. DrivingSpeed formula: s= d/tgivens: 120 miles and 1 3/4 hours• change 1 3/4 to an improper fraction7/4• divide the givens by receprocating 7/4 and changing the sign to multiplication120/1 × 4/7= 480/7= 68. 57 mi/hr[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Look at the graph shown.
Which equation best represents the line? (4 points)
y = 1 over 3.x − 1
y = 3x − 1
y = −x + 1 over 3.
y = 3x + 1
Answer:
y=3x - 1
Step-by-step explanation:
we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.
we know that b must be -1 because the line hits the y-axis when y is -1
this now leaves us with either the first or second choice
we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.
so then we know the answer is y=3x-1
hope this helps
If a 15% discount is applied to a 15,000,000 car, what will its price be.
Answer:
$12,750,000
Step-by-step explanation:
15,000,000 x 0.15 = 2,250,000
15,000,000 - 2,250,000 = 12,750,000
Answer:
12750000Step-by-step explanation:
[tex]15\% \: discount \:on \: 15,000,000\\\\= \frac{15}{100} \times 15,000,000\\\\\\= \frac{225000000}{100}\\ \\= 2250000\\\\15 000 000 - 225 0000= 12750000[/tex]
Can someone plz tell me what’s 9% of 41
Answer:
3.69
Step-by-step explanation:
9% of 41 is (9/100)*41=369/100=3.69
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
The amount of sides on the shape are increasing, like 4, 5, 6, so the best answer should be 7 sides for the next shape, however there is no shape that is 7, so C which has 8 sides is the next best answer.
Most likely the next step in the series is hectogon. Therefore, option A is the correct answer.
What is the pattern?A pattern in mathematics is an arrangement of numbers, shapes, colours and other elements that repeat. This arrangement can be related to any event or object. When a group of numbers is organised in a certain way, it is referred to as a pattern. Patterns can also be referred to as a series.
The given series has square, pentagon and hexagon.
We know that, square has 4 sides, pentagon has 5 sides and hexagon has 6 sides.
So, the next figure in the series must have 7 sides.
Thus, 7 sided figure is called has hectogon and septagon.
Therefore, option A is the correct answer.
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Josie has 43 animal books and 29 art books. She puts all the books on 8 shelves. She puts the same number of books on each shelf.
How many books does Josie put on each shelf? Enter the answer in the box.
books
Answer:
9 books
Explanation:
Number of animal books = 43
Number of art books = 29
So, total number of books
= Number of animal books + Number of art books
= 43 + 29
= 72
Number of books in each shelf, if divided equally
= Total number of books/Number of shelfs
= 72/8
= 9
So, each shelf has 9 books in it.
find the surface area of triangle prism.
Step-by-step explanation:
the area of a triangle is baseline×height/2
in case of such a right-angled triangle we can use the sides that enclose the 90 degree angle as baseline and height.
so,
B = 8×6/2 = 8×3 = 24 yd²
the height h is 8 yd (as the picture clearly shows).
the perimeter of the base is the sum of all three sides
P = 8 + 6 + 10 = 24 yd
Write an expression to represent the product of 6 and the square of a number plus 15.
Answer:
6x^2 + 15
Step-by-step explanation:
We don't know what the square of a number is, so we represent it as x^2
The first part tells us to find the product of 6 and the square of a number, so
6x^2
The second part tells us to add 15 so,
6x^2 + 15
The expression that should be represented is [tex]6x^2 + 15[/tex]
Given that
The product of 6.The square of number + 15.Based on the above information,
Let us assume the number should be x
So, from the above information, the expression should be [tex]6x^2 + 15[/tex]
Therefore we can conclude that The expression that should be represented is [tex]6x^2 + 15[/tex]
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Please help!! 20 points
(-78) + 69 =
Answer:
-9
Step-by-step explanation:
Since the signs are different, subtract the two numbers and take the sign of the larger number
78 - 69
9
Since 78 is the larger number and it was negative
-9
Answer:
-9
Step-by-step explanation:
-78+69
=-9
happy to help
-4.1=8(y-5) it says solve equation
[tex]\text{Solve for y:}\\\\-4.1=8(y-5)\\\\\text{Use the distributive property}\\\\-4.1=8y-40\\\\\text{Add 40 to both sides}\\\\35.9=8y\\\\\text{Divide by 8}\\\\\boxed{4.4875=y}\\\\[/tex]
WILL GIVE BRAINLIEST AND 20 POINTS! PLEASE SHOW WORK!
How many different 8-digit phone numbers do not contain the digit 2? Assume that any digit in the phone number can be any of the remaining numbers. Use the Multiplication Principle of Counting to solve the problem.
The number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers
Since there are 10 digits in our number system from 0 to 9, and we are looking for the number of different 8-digit phone numbers that do not contain the digit 2, we would be one digit short. So, for each digit position, we would have 10 - 1 digits = 9 digits.
Since we have 8 places for each digits, for the first place, we have 9 digits. For the second place, we have another 9 digits and so on till we get to the 8 th digit place.
So, for all 8 digit places, we have 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 = 9⁸.
So, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 9⁸ numbers = 43046721 numbers.
Thus, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers.
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A chocolate company has a new candy bar in the shape of a prism whose base is a 1-inch equilateral triangle and whose sides are rectangles that measure 1 inch by 2 inches. These prisms will be packed in a box that has a regular hexagonal base with 2-inch edges, and rectangular sides that are 6 inches tall. How many candy bars fit in such a box