The required measure for the given case is mode. The correct option is (b).
How to find the mean and median for a given sample of data?In order to find the mean, first sum all the values of the data and count the number of data then divide them.
In order to find the median, first check whether the number of data is even or odd. For even number, the median is n/2 th element of the sample and for odd number the median is (n + 1)/2 th element.
The given problem deals with a sample of data.
In order find the correct answer, each option is analysed one by one as follows,
(a) The mean of a sample of data represents a standard value for the whole sample such that the individual values of the data may be more or less than it. but, it does not tell about the number of times a value is repeated.
(b)The median of a given sample can tell the middle most value of data when arranged in ascending order.
(c) The mode of a sample is about the times of occurrence of a single value in the whole sample.
As per the given question, to tell about the most frequently brand mode can be used.
Hence, the statistical measure that measures gives the most frequently mentioned brand is mode.
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Which mean the same as 60%? Check all that apply
a.3/5
b. 0.06
c. 0.60
d. 6/10
e. 6/100
A shop sells “Gello” pens and “Inko” pens. A “Gello” pen costs £5 and an “Inko” pen costs £7. One day the shop sold 17 pens and recieved £109. How many of each type of pen were solved? Form a pair of simultaneous equations to solve this question.
Answer:
5 Gello Pens and 12 Inko Pens.
12 Inko Pens adds up to 84.
5 Gello Pens adds up to 25.
84 + 25 = 109.
I hoped this helped :)
Machine A can fill 1 box of nails in 6 minutes. Machine B can fill 1 box of nails in 9 minutes. They started to work at the same time and they stopped also at the same time. In all they filled 100 boxes. How many were filled by machine A?
A-
1 box --- 6 minutes
y boxes --- 1 minute
y = 1/6
B-
1 box --- 9 minutes
t boxes --- 1 minute
t = 1/9
So...
r - used time
r(1/9 + 1/6)=100
r=(100.18)/5
r= 360 minutes
1/6 . 360 = 60 boxes
answer: 60 boxes
In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.
Let's use the concept of the rate of work to solve this problem. The rate of work is the amount of work done per unit of time.
Machine A's rate of work is 1 box of nails every 6 minutes.
Machine B's rate of work is 1 box of nails every 9 minutes.
Let's assume that machine A filled x boxes, and machine B filled y boxes. Since they worked for the same amount of time, the total number of boxes filled by both machines is 100.
So, the equation representing the total work is:
x (boxes filled by A) + y (boxes filled by B) = 100
Now, let's use their rates of work to form two more equations:
Rate of work of A = 1 box every 6 minutes
Rate of work of B = 1 box every 9 minutes
Since work = rate × time, we can write two equations:
x (boxes filled by A) = (1/6) * t (time in minutes)
y (boxes filled by B) = (1/9) * t (time in minutes)
Since they both worked for the same time, we can set the time for both machines as equal:
t = t
Now, we have a system of equations:
x + y = 100
x/6 = y/9
t = t
Let's solve the system of equations. We can start by substituting the value of y from the second equation into the first equation:
x + (x/6)*3 = 100
x + (x/2) = 100
Multiply both sides by 2 to eliminate the fraction:
2x + x = 200
3x = 200
x = 200/3
Now, let's find the value of y using the second equation:
y = (x/6)*3
y = (200/3)/6 * 3
y = 200/3
So, machine A filled 200/3 boxes of nails, which is approximately 66.67 boxes.
Machine B filled 200/3 boxes of nails, which is also approximately 66.67 boxes.
Since they cannot fill a fraction of a box, we can distribute the remaining 2/3 box between machine A and machine B, giving one extra box to each.
In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.
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Name five fractions whose values are between 1/8 and 1/5
The five fractions whose values are between 1/8 and 1/5 will be 13/100, 7/50, 3/20, 4/25, and 9/50.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The fraction numbers are given below.
1/8 and 1/5
Convert the fraction number into decimal numbers. Then we have
0.125 and 0.20
The five fractions whose values are between 1/8 and 1/5 will be given as,
0.13, 0.14, 0.15, 0.16, 0.18
13/100, 14/100, 15/100, 16/100, 18/100
13/100, 7/50, 3/20, 4/25, 9/50
The five fractions whose values are between 1/8 and 1/5 will be 13/100, 7/50, 3/20, 4/25, and 9/50.
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2. Evaluate the polynomial two ways: by substituting in the given
value of x, and by using long division.
Find P(-3)for P(x)= 4x2 +10x - 8.
Answer:
P(-3) = -2
Step-by-step explanation:
Substitution
P(-3) = 4(-3)^2 +10(-3) -8 = 36 -30 -8
P(-3) = -2
__
Long Division
See the working below. The remainder is -2, so ...
P(-3) = -2
what is -4 as a fraction
Answer:
-4/1
Step-by-step explanation: whenever you have a whole number you just put a 1 as the denominator to make it a fraction.
help me please real quick
Answer:
D) [tex]360 m^{3}[/tex]
Step-by-step explanation:
Let's review the formula for finding the volume of a cube or rectangular prism.
[tex]V = (l)(h)(w)[/tex] - Basically saying "Volume = length × height × width".
In this case, you can consider 9 meters as the length, 5 meters as the height, and 8 meters as the width (but it doesn't really matter which dimensions are which since you are just multiplying them all together).
Now, let's multiply our dimensions together.
[tex]9 * 5 * 8 = 360[/tex]
That's your answer! Make sure to not forget your units (in this case, meters) cubed.
Hope that helps and maybe earns a brainliest!
Have a splendid day! <3
Someone pls help . Thank you sm !!
Answer:
28 = -3k + 728 - 7 = -3k
21 = -3k
21/-3 = k
k = -7
1/5 x - 17 = 3x/5 = 3 + 17
x/5 = 20
x = 5*20
x = 100
82 = 7/10 G + 1282 - 12 = 7G/10
70 = 7G/10
70*10 = 7G
700 = 7G
700/7 = G
G = 100
Solve for v. 3v + 5v = 72 please simplify as much as possible! v = _ ?
Answer:
v is 9
Step-by-step explanation:
it is 9 because if you simplify it is 8v=72 or 9
Answer:
v = 9
Step-by-step explanation:
3v + 5v = 72
combine like terms
8v = 72
Divide by 8
8v/8 = 72/8
v =9
The number of radians in a 720-degree angle can be
written as an, where a is a constant. What is the
value of a ?
Answer:
a=4
Step-by-step explanation:
When going from degrees to radians, 180 degrees is always going to equal π radians
That means 2π would be 360 degrees, and 4π would be 720
And since we're trying to find a in aπ when it's a 720 degree angle, we can conclude that a=4
Answer:
4
Step-by-step explanation:
We know that:
π rad= 180°Then:
720° = 4*180° = 4π radianThe value of a:
4π = aπ ⇒ a= 4The following frequency table shows the number of hours each of the staff members at Eroy's Electronics slept Thanksgiving night. Find the mean number of hours of sleep.
Answer:
Mean
=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees
= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1
= 3+0+0+12+7+8/ 1+0+0+2+1+1
= 30 / 5
= 6
So the mean of number of hour sleep is 6 hours.
I hope this helps
if u have question let me know in comments ^_^
Answer:
Step-by-step explanation:
Mean
=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees
= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1
= 3+0+0+12+7+8/ 1+0+0+2+1+1
= 30 / 5
= 6
So the mean of number of hour sleep is 6 hours.
I hope this helps
On a certain map, 3 inches represents 15 miles. Briarwood and Middletown are 5 inches apart on the map. What is the actual distance between Briarwood and Middletown? A. 25 mi B. 30 mi C. 50 mi D. 75 mi
Answer:
i think the answer is a. 25
Find the value of x.
Answer:
D. 15
Step-by-step explanation:
Both equations need the same end result because this is a square:
3x - 15 = 45 - x =
3x - 3x = 45 - x - 3x
0 = 45 - 4x
4x = 60
4x/4 = 60/4 =
X = 15
Check:
3(15) - 15 = 45 - 15
45 - 15 = 45 - 15
30 = 30
In which pair do both decimals represent rational numbers?
A. 0.397 and 0.8999...
B. 2.28182845904523536... and 0.8999
C. 9.1426535893793238... and 0.397
D. 9.1426535893793238... and 0.8999...
Answer:
Option b
step by step explanation:
Answer:
Option (A)
Step-by-step explanation:
0.296 and 0.9888 is correct because rational no are terminating and repeating ..
If you apply the changes below to the absolute value parent function, f(x)=x, what is the equation of the new function? Shift 2 units to the right shift 3 units down
Answer:
f(x) = Ix - 2I -3
Step-by-step explanation:
f(x) = IxI
f(x) = Ix - 2I -3
The equation is f(x) = | x – 2 | + 3 Then the vertex of the absolute function will be at (2, 3).
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
If you apply the changes below to the absolute value parent function
f(x) = |x|
Then the equation of the new function will be
Shift 2 units to the right, shift 3 units down
f(x) = | x – 2 | + 3
Then the vertex of the absolute function will be at (2, 3).
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Calculate the area of the circle to the nearest hundredth of a square unit. Approximate as 3.14. a. 124.63 cm 2 b. 124.6 cm 2 c. 39.56 cm 2 d.19.78 cm 2
Answer:
[tex]124.63[/tex]
Step-by-step explanation:
[tex]a = \pi \times r {}^{2} = \pi \times (6.3) {}^{2} = \pi \times 39.69[/tex]
[tex]\pi \times 39.6 = 3.14 \times 39.69 = 124.63[/tex]
Hope this helps ;) ❤️❤️❤️
The area of circle will be;
⇒ 124.63 cm²
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The radius of circle = 6.3 cm
Now,
Since, The radius of circle = 6.3 cm
We know that;
Area of circle = π r²
Hence, We get;
⇒ Area of circle = 3.14 × 6.3²
= 3.14 × 39.69
= 124.63 cm²
Thus, The area of circle will be;
⇒ 124.63 cm²
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Rearrange the tiles so that it shows the proper steps of solving this quadratic equation using square property
Answer:
see explanation
Step-by-step explanation:
Given
(x + 2)² = 25 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{25}[/tex] ← Step 1
x + 2 = ± 5 ← Step 2 ( subtract 2 from both sides )
x = - 2 ± 5 ← Step 3
if alan had bought a figure at a discount of 5%, he would pay $20 less. How much would he pay if he had bought it at a discount of 20%
Answer:
80
Step-by-step explanation:
5%-->20% is increased by x4, therefore you multiply 20 by 4 which is 80 or you can set an proportion
5/20=20/x5x=400x=80PLZZ HELPP!! Water is poured from a 1.5 L water bottle into an empty glass until both the glass and the bottle are 3/4 full. What is the volume of the glass?
Answer:
0.5 L
Step-by-step explanation:
volume of bottle: 1.5 L
amount of water = 1.5 L
volume of glass: x
3/4 full is the same as 0.75 full
vol of water in bottle + vol of water in glass = total vol of water
0.75(bottle) + 0.75(glass) = 1.5
0.75(1.5) + 0.75x = 1.5
0.75x = 0.375
x = 0.5
Town B is 250 km from town A on a bearing of 080°.
Town C is 250 km from town B on a bearing of 220°.
What is the bearing from town A to town C?
Answer:
330 degrees
Step-by-step explanation:
Answer: 300deg
Step-by-step explanation:
**TIMED** I REALLY NEED HELP
Answer:
24 students
Step-by-step explanation:
(20 + 23 + 25 + 28)/4
= 94/4
= 24
hope it helps!
Which equation represents an ellipse with foci at (3, 2) and (-9, 2)
that passes through the point (-3, 10)?
Answer:
D, since it horizontal ellipse, a is greater than b
An ellipse has two foci. The correct option is D.
What is the equation of ellipse if its major and minor axis and centre are given?Suppose that the major axis is of the length 2a units and that the minor axis is of 2b units, and let the ellipse is centred on (h,k) with a major ellipse parallel to the x-axis, then the equation of that ellipse would be:
[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]
Coordinates of its foci would be: (h±c, k) where c² = a² - b²
If its major axis is parallel to the y-axis, then,
coordinates of its foci would be: (h, k±c) where c² = a² - b² and its equation would be:
[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]
Given the foci at (3, 2) and (-9, 2) that pass through the point (-3, 10), therefore, the equation of the ellipse will be,
[tex]\dfrac{\left(x+3\right)^{2}}{100}+\dfrac{\left(y-2\right)^{2}}{64}=1[/tex]
Hence, the correct option is D.
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calculate the size of angle x. the sides are 8cm, 11cm and 15cm
Answer:19.93
Step-by-step explanation:
11 x 8 x 15 = 1320
then u would simplify
The value is: angle x is approximately 103.95 degrees.
Here, we have,
To calculate the size of angle x, you can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.
In this case, the sides of the triangle are given as follows:
a = 8 cm (adjacent to angle x)
b = 11 cm (opposite to angle x)
c = 15 cm (hypotenuse)
The Law of Cosines states:
c² = a²+ b² - 2ab*cos(x)
Substituting the given values:
15² = 8² + 11² - 2(8)(11)*cos(x)
225 = 64 + 121 - 176*cos(x)
Simplifying:
225 = 185 - 176*cos(x)
Rearranging the equation:
176cos(x) = 185 - 225
176cos(x) = -40
Now, divide both sides by 176 to isolate the cosine term:
cos(x) = -40/176
cos(x) ≈ -0.2273
To find the value of angle x, take the inverse cosine (cos⁻¹) of -0.2273:
x ≈ cos⁻¹(-0.2273)
x ≈ 103.95 degrees
Therefore, angle x is approximately 103.95 degrees.
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(PLSS HALP) What is the area of triangle PQR on the grid? (5 square units) (6 square units) (10 square units) (12 square units)
I Will Give Brainliest
Answer:
6
Step-by-step explanation:
it might be six but can you show me what the chart looks like?
Please help me i will give brainly!
for vegetable oil, it's increasing by 120, for cornstarch by 30
What is the volume of the right triangular prism shown?
Answer:
C. 567yd^3
Step-by-step explanation:
To find the volume of the right triangular prism, it is: 1/2a c h.
In this case, 1/2✖️9✖️6✖️21=567yd^3
So this means that option C is the correct answer.
Hope this helps!
Have a nice day:)
Answer:
567 cu. yard
Step-by-step explanation:
will make it simple and short.
Vol = area of a triangle x length
Vol = (1/2 * 6 * 9 ) * 21
Vol = 567 cu. yard
Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.
A) reflect triangle a across the y-axis and then translate triangle a 5 units down. B) reflect triangle A across the x-axis and then reflect triangle a across the y-axis.
C) translate triangle a 4 units down and then rotate triangle A 180° counterclockwise about the origin.
D) reflect triangle a across the x-axis and then rotate triangle A 90° counterclockwise about the origin
The triangle is shifted 4 units downwards and then is rotated about the origin.
What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size 3 shape of the figure stays exactly the same.Given are triangles A and B.
Transformation 1 : The triangle is shifted 4 units downwards.
Transformation 2 : The figure is rotated about the origin.
Therefore, the triangle is shifted 4 units downwards and then is rotated about the origin.
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Please help me! There is graph an I out them as pictures!
Pls help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!please I’m begging u
Answer:
7. 36 8. 1 9. 21
Step-by-step explanation:
You plug in the variables in the equation.
7.[tex]5^{2} +-4^{2} = 41[/tex]
8. [tex](5-4)^{2} = 81[/tex]
9. [tex]5+4^{2} =21[/tex]
Answer:
See explanation
Step-by-step explanation:
1. 8^5 = 32768
2. a^6
3. 5^5*9^3 = 2278125
5. (-3)^5 = -243
6. (3/4)³ = 27/64
7. a² + b² = 5² + (-4)² = 25 + 16 = 41
8. (a + b)² = (5 + 4)² = 9² = 81
9. a + b² = 5 + 4² = 5 + 16 = 21
Find an equation of the line with the slope m= 3 that passes through the point (2,2). Write the equation in the form Ax+By = C.
Answer:
[tex]y = 3x-4[/tex]
Step-by-step explanation:
We know that if we were to write an equation with the slope of 3, it would be [tex]y=kx[/tex], where k is the constant (in this case 3.)
So right now, we have [tex]y=3x[/tex].
However, this will not pass through the point (2,2). To do this, we need to add a y-intercept in which (2,2) will be crossed through.
If we have a y-intercept of -4, the points will be:
(0, -4)
(1, -1)
(2, 2)
So our final equation is [tex]y = 3x-4[/tex].
Hope this helped!
Answer: 3x-1y=4 in Ax+By=C form
Step-by-step explanation:
the intercept form is y=3x-4
subracting 3x from both sides would get -3x+y=-4
distributing -(-3x+y=-4) would get 3x-y=4.