Given:
The date set for the number of public libraries in each of 14 cities is:
4, 5, 4, 6, 5, 6, 5, 8, 5, 4, 6, 6, 7, 4
To find:
The modes of this data set.
Solution:
We know that, the mode of a data is the most frequent value of data set.
Arrange the given data in ascending order.
4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8
In the given data set,
Frequency of 4 = 4
Frequency of 5 = 4
Frequency of 6 = 4
Frequency of 7 = 1
Frequency of 8 = 1
Clearly, the data values 4, 5, 6 have the largest frequency, i.e., 4.
Therefore, the modes of the given data set are 4, 5, 6.
At what rate per cent will the intrest on Rs. 2520 add up to Rs. 84 in 8 months
Answer:
The rate of percent is 5%
Step-by-step explanation:
Help Please! would really appreciate it.
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The diagram shows:
base = 13height = xRecall that the area of a parallelogram is equal to the base times height
area = base*height
We're told that the area is 117 square units, so that means 13x = 117.
Divide both sides by 13 to isolate x
13x = 117
13x/13 = 117/13
x = 9
The height of the parallelogram is 9
Note how:
area = base*height = 13*x = 13*9 = 117
which helps confirm we have the correct height value for x.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
i think it is A
Which inequality represents "six times a number is less than negative thirty-nine and three-quarters"? 6x > –39Three-fourths 6 + x > -39 Three-fourths 6x < -39Three-fourths 6 x less-than-or-equal-to negative 39 and three-fourths
Given:
The phrase is "six times a number is less than negative thirty-nine and three-quarters".
To find:
The inequality represented by the given phrase.
Solution:
Let x be the unknown number.
Six times a number is "6x".
Less than is "<".
Negative thirty-nine and three-quarters is "[tex]-39\dfrac{3}{4}[/tex]".
So, six times a number is less than negative thirty-nine and three-quarters is:
[tex]6x<-39\dfrac{3}{4}[/tex]
Therefore, the correct option is C.
Answer:
"six times a number is less than negative thirty-nine and three-quarters".
Step-by-step explanation:
or C
3. Kevin and Hannah are both saving money for a new television. Kevin has already saved $ 47 and
plans to save $ 16 every week. Hannah has already saved $ 20 and plans to save $ 25 every week.
Write the system of equation for the information presented. Let m represent the amount of
money and w represent the weeks. *
Answer:
47+16w=
20+25w=
Step-by-step explanation:
Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 < x <6.
Answer:
1
Step-by-step explanation:
Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.
The average value of a function f(x) over an interval [a, b] is
f(b) - f(a)
ave. val. = ---------------
b - a
which in this particular case is
19 - 30
ave. val. = ----------------- = -11/11 = 1
6 - (-5)
The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.
Cik Ain deposited RM5 000 at a bank with an interest rate of 4% per annum.
(a) Calculate the total savings of Cik Ain after she has saved for 1 year.
Answer: RM 5200
Step-by-step explanation:
Principal = RM5000
Rate = 4%
Time = 1 year
Simple Interest = PRT
= 5000 × 4% × 1
= 5000 × 0.04 × 1
= 200
Now, the total savings will be the addition of the principal and the interest which will be:
= RM 5000 + RM 200
= RM 5200
On Monday the price of one share of Webb company stock was 24.85. By Friday the price was 25.004. By how much did the price change from Monday to Friday ?
Answer:
Change in price = 0.154
Step-by-step explanation:
Given that,
The price on Monday = 24.85
The price on Friday = 25.004
We need to find the change in price from Monday to Friday. It can be calculated as follows :
Change = 25.004 - 24.85
= 0.154
So, the required change in the price is equal to 0.154 .
Jane's cell phone plan is $58 each month plus $0.20 per minute for each minute over 200 minutes of call time. Jane's cell phone bill last month was $67.00. Write an equation that can be used to determine the number of minutes over 200 that Jane was billed. How many minutes over 200 was Jane billed last month?
Answer: 45 minutes more than 200
Step-by-step explanation:
So for every minute over 200 jane has to pay 0.20 cents per additional minute. The equation we can use is $58+0.20m=$67 where m is the amount of minutes after 200 jane has to pay 20 cents per
58+0.20m=67
0.20m=9
m=45
So Jane was billed for 45 minutes over 200 minutes last month. so in total 245 minutes and she was charged for the extra 45 minutes
Which of the following statements is INCORRECT?
Answer: (8x - 24)
Step-by-step explanation:
DFE are all correct and the other numbers are placed well.
Step-by-step explanation:
C, because 58 can't equal 40
PLEASE HELP
Answer:
sorry if u need help, hope u feel better! :)
A new car is for lease for $429 per month with a down payment of $1,058. What is the cost for 42 months for this vehicle?
$19,076
$44,865
$44,436
$18,018
$62,454
Which of the following is NOT a linear function?
y=x
y=5
y=-3x-5
y=x^2+6
HELP 40 POINTS!!!! ILL GIVE BRAINLIEST TOO
Answer:
40 students
10 teachers
Step-by-step explanation:
32 + 8 = 40
5 + 5 = 10
Hope this helps!! ♥︎
x(x - 1) -y (у-1) =0
[tex]x(x-1)-y(y-1)=0\\x^2-x-y^2+y=0\\[/tex]
The graph is a x.
Find the value of x and the measure of the angle labeled 3x
3x
27
A. x= 15; angle measure is 27°,
OB. X = 9; angle measure is 27".
C. x= 9; angle measure is 45°
O.D. x= 15; angle measure is 45°
Answer:
The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115
Step-by-step explanation:
If each of the cubes in a Rubik's Cube represented 1 cubic inch, what would be the volume of the Rubik's Cube?
Answer:
The volume of the Rubik's Cube is 27 in^3
Step-by-step explanation:
Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.
We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.
Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.
Now we know that each one of these small cubes has a volume of 1 in^3
Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:
V = 27*( 1 in^3) = 27 in^3
Shannon wants to buy some muffins and a greeting card for her friend's party. A local grocery store sells muffins for $2.75 each and greeting cards for $2.00.
If Shannon buys 12 muffins and 1 card, how much money does she spend at the grocery store?
A. $57.00
В. $33.00
C. $35.00
D. $26.75
Answer:
$35
Step-by-step explanation:
jus trust
What is the equation of this line?
Write the equation in slope-intercept form.
Answer:
we start by finding the gradient which is 2
then we use the formula y-y1=m (x-x1)
which will be = y=2x-7
a polygon with 189 diagonals is called
Answer:
189 diagonals have 21 sides.
it is called hectogan take care
how to solve 6x+4+5X+2=12X-4 to solve for x
11x+6=12x-4
6-4=12x-11x
therefore x=2
simple
Find the center and radius of x2+2x+y2+10y=15
Answer: (x + 7)^2 + (y + 5)^ =9
Step-by-step explanation:
PLZ HELP WILL GIVE BRAINLEST HELP ASAP
Answer:
176 feet
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
find the circumference then multiply by 24 then find the answer that is the closest
write an equation for the following problem
Answer:
x+68=90 degrees
Step-by-step explanation:
Answer:
90-68 or 68+22
Step-by-step explanation:
this works becuz it is a 98 degree angle
Please answer the question above.
Answer:
5.3!
Step-by-step explanation:
( in case you need work ) the angles are congruent so you set them equal to each other!
6x+12=9x-4
you then get 16=3x then divided its 5.3!
Mr. Turney wrote the value statement "x = 2" on the whiteboard. He asked his students to create an equation or inequality with this value as a solution.
Answer:
Some of the equations can be written as-
1. 2x = 4
2. 3x + 9 = 15
3. x + 5 = 7
4. 5x - 2 = 8
Step-by-step explanation:
Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.
To find - He asked his students to create an equation or inequality with
this value as a solution.
Proof -
Given that, The value statement is ''x = 2''
We have to find out that equation in such a way that if we solve the equation , we get the value x = 2
There can be infinite many equation that give the value statement '' x = 2''
Some of the equations can be written as-
1. 2x = 4
2. 3x + 9 = 15
3. x + 5 = 7
4. 5x - 2 = 8
And many more.
Verification -
1. 2x = 4
⇒x = [tex]\frac{4}{2}[/tex]
⇒x = 2
Verified
2. 3x + 9 = 15
⇒3x = 15 - 9
⇒3x = 6
⇒x = [tex]\frac{6}{3}[/tex]
⇒x = 2
Verified
3. x + 5 = 7
⇒x = 7 - 5
⇒x = 2
Verified
4. 5x - 2 = 8
⇒5x = 8 + 2
⇒5x = 10
⇒x = [tex]\frac{10}{5}[/tex]
⇒x = 2
Verified
What is the surface area of the square pyramid?
3,456 m²
9,984 m²
1,296 m²
2,160 m²
Answer:
3,456 m²
Step-by-step explanation:
i just took the test :)
The surface area of the given Square pyramid is 3456 square meters.
What is the Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
Given, a square pyramid with a base side of 36m and a slant height of 30m.
From the general formula of the surface area of the square pyramid,
Surface area = area of base + 4* area of triangle
Surface area = 36*36 + 4 * 1/2*36 * 30
Surface area = 3456 m²
therefore, the surface area of the given Square pyramid is 3456 square meters.
Learn more about the Surface area here:
https://brainly.com/question/29298005
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48ft= how many yards
Answer:
16 yards
Step-by-step explanation:
41 Sam has traveled 800 miles in 1.5 days. How
long would it take him to make a cross-country
trip of 2,500 miles traveling at the same average
speed?
A 3.45 days
4.69 days
4.98 days
05.12 days
please answer as soon as possible!!!
Answer: A or D
Step-by-step explanation:
Look, I’m sorry but I couldn’t find the number of days so your choices are ether A or D. 800 x 3.125 = 2500. I multiply 3.125 and 1.5 but got 4.6875
Which equation represents a line that is perpendicular to the line represented by
4x + y = 7 and passes through the point (1, 8)?
Question 2 options:
y = 14x + 334
y = 4x + 4
y = 14x + 314
y= −4x + 12
Answer:y= -4x + 12
Step-by-step explanation: i graphed it