Hannah sells computers. The amount of her monthly sales for the first half of the year are listed below:
Find the mean, median and mode for her monthly sales. Show your work.
January - $14,000
February - $18,000
March - $13,000
April - $19,000
May - $21,000
June - $14,000
Answers
Answer:
Mean = $16,500
Mode = $14,000
Median = $16,000
Step-by-step explanation:
Mean: We add all the numbers together and divide by 6 but this isn't the mean as we have to factor out and get it to the correct number. Therefore we will do the following.
14000+18000+13000+19000+21000+14000 / 6 Cancel the common factors
factor 2 out of everything
2(7000+9000+6500+9500+10500+7000) / 6
we get rid of the 2 and the 6 by factoring them out. so we now get
7000+9000+6500+9500+10500+7000 / 3
Now we add the numbers together and divide by 3
49500 / 3 = $16,500
Mode: This is easy as there is only 1 number that appears more then 1 time and therefore is 14,000
Median = we arrange the numbers from smallest to largest and find the center number. since there are an even number we will take the 2 center numbers and add them together and divide by 2.
13000, 14000, 14000, 18000, 19000, 21000
So we will take 14000 and 18000 and add them together then divide by 2.
14000 + 18000 = 32000/2 = $16,000
Related Questions
If the cost of medical care increases by 40 percent, then, other things the same, the CPI is likely to increase by about
.9 Percent
2.4 Percent
8.0 Percent
40 Percent
Answers
If the cost of medical care increases by 40 percent, then, other things the same, the CPI is likely to increase by about:
Your answer: 2.4 Percent
Reason:
The CPI (Consumer Price Index) is a measure of the average change over time in the prices paid by consumers for a basket of goods and services. Medical care is just one component of this basket. If the cost of medical care increases by 40%, it will contribute to the overall increase in the CPI, but the impact will be less than the 40% increase, as other components of the basket will not necessarily increase at the same rate. Based on the given options,
the most likely increase in the CPI is 2.4%.
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Vani needs to order some new supplies for the restaurant where she works. The restaurant needs at least 795 forks. There are currently 315 forks. If each set on sale contains 10 forks, write and solve an inequality which can be used to determine xx, the number of sets of forks Vani could buy for the restaurant to have enough forks.
Answers
The number of sets of forks that Vani can buy for the restaurant is 48.
What is the minimum number of forks that Vani can buy?The first step is to determine the appropriate inequality sign to use:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used is ≥.
(Number of forks per set x number of sets that would be bought) ≥ (number of forks needed - number of forks the restaurant has)
(10 × xx) ≥ (795 - 315)
10xx ≥ 480
xx ≥ 480 / 10
xx ≥48
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What is 12/30 simplified?
Answers
Answer: hey good morning, 12/30 simplified is 2/5 hope this helped :))
Step-by-step explanation:
show an example
of a ratio as a fraction in simplest form
Answers
Answer:
an example of a ratio as a fraction in its simplest form is .5 is 1: 2.
In a certain country, a telephone number consists of six digits with the restriction that the first digit cannot be 8 or 7. Repetition of digits is permitted. Complete parts (a) through (c) below. a) How many distinct telephone numbers are possible?
Answers
The number of distinct telephone numbers possible given the restriction is 800,000.
Given that :
A telephone number consists of six digits.The first digit cannot be 8 or 7.Number of distinct Telephone NumbersFor the first digit, there are 8 options available (digits 0-6 and 9, excluding 7 and 8).
For the remaining five digits (second to sixth), there are 10 options available for each digit (digits 0-9).
Therefore, the total number of distinct telephone numbers possible can be calculated by multiplying the number of options for each digit:
Total number of distinct telephone numbers = 8 * 10 * 10 * 10 * 10 * 10 = 8 * 10⁵ = 800,000
Hence, there are 800,000 distinct telephone numbers possible in this country.
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PLEASE ANSWER HURRY WHICH ONE IS IT?
Answers
Answer:
x = cd-by/ a
Step-by-step explanation:
ax + by / c = d
ax + by = cd
ax = cd-by
x = cd-by/a
Answer:
B
Step-by-step explanation:
You can multiply both sides by c to remove the fraction part.
d(c) = ax + by/c(c)
dc = ax + by
Then subtract "by" from both sides to isolate x.
dc - by = ax - by + by
dc - by = ax
Then divide both sides by a to completely isolate the variable x.
(dc - by)/a = ax/a
(dc - by)/a = x
B
Please help me. Can you help me do A,B,C,D,E, and F please
Answers
Answer:
KGHKWGJRWGJHWG
Step-by-step explanation:
there are 11 pieces of pie left over in the cafeteria. if the 6 pieces are apple and 5 are cherry , what fraction of the remaining are apple
Answers
Answer:
6/11
Step-by-step explanation: If not this try 12/22
This is because 11 is the denominator and both 5 and 6 are numerators. If you were to ask for what the fraction of remaining pie would be cherry, then you would say 5/11
The length of a rectangle is 7 centimeters less than its width. What are the dimensions of the rectangle if its area is 60 square centimeters?
Answers
The dimensions of the rectangle has a width = 12cm and length = 5cm.
Area of rectangleIn calculating the area of a rectangle, we multiply its length and width.
Let us use the letter x to represent the width, so that the length = x - 7
hence we calculate for the unknown x as follows;
x(x - 7) = 60
expand and equate to zero to derive a quadratic equation
x² + 7x - 60 = 0
by factorisation;
x² - 12x + 5x - 60 = 0
x(x - 12) +5(x -12) = 0
(x + 5)(x - 12) = 0
thus for x + 5 = 0
x = -5
and for x - 12 = 0
x = 12
Therefore, x = 12 is true for the quadratic equation and also for the width = 12 and length = 5cm for the rectangle.
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Could you tell me what theorem proves these triangles to be congruent?
Side Angle Side
Hypotenuse Leg
Angle Angle Side
Side Side Side
Angle Side Angle
Answers
The formula F = \frac{9}{5} C + 32$ can be used to convert temperatures between degrees Fahrenheit ($F$) and degrees Celsius ($C$). What Celsius temperature $C$ has the same value when converted to a Fahrenheit temperature $F$?
Answers
The Celsius temperature that has the same value as when converted to a Fahrenheit temperature is -40
What Celsius temperature has the same value as FFrom the question, we have the following parameters that can be used in our computation:
F = 9/5C + 32
The Celsius temperature that has the same value as F implies that
C = F
Substitute the known values in the above equation, so, we have the following representation
C = 9/5C + 32
So, we have
C - 9/5C = 32
Evaluate the like terms
-4/5C = 32
So, we have
C = -32 * 5/4
Evaluate
C = -40
Hence, the value of C is -40
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1/2(12k-6) i don't know what this answer is!!!
Answers
Answer:
6k-3 or 3(2k-1)
Step-by-step explanation:
First, you need to multiply 1/2 by both the numbers in the parentheses
1/2(12k-6)=
(1/2)(12k)+(1/2)(-6)Then, you need to simplify your answer
6k-3*If needed, you can simplify further by taking out a factor of 3
3(2k-1)Answer:
\(3(2k-1)\)
Step-by-step explanation:
\(\frac{1}{2}(12k-6)\)
Expand the bracket by multiplying by 1/2:
\(6k-3\)
Simplify further by taking out a factor of 3:
\(3(2k-1)\)
Y over 3 - 4 = x
Write y as the function of x
Please help me solve this.
Answers
Answer:
y=3x+12
Hope this helps! :)
Anyone know the answers 11 through 20?
Answers
Step-by-step explanation:
11) x^5
12) 5x^2
13) x+21
14) 2x-8
15) 3^3
=3*3*3
=27
16)2^5
=2*2*2*2*2
=32
17) 5^4
=5*5*5*5
=625
18)2 times a number p squared
19)3 times a number m fifth power
20)the addition of half a number and 2
Suppose a central angle is inscribed inside of a circle. The angle measures 36 degrees and the minor arc is 15 cm. Calculate the area of the circle and round your answer to two decimal places.
Answers
The area of the circle is 1790.49 centimeters square
To calculate the area of the circle, we shall need the radius of the circle
We can get the radius from the arc length
Mathematically, the length of an arc is;
\(\frac{\theta}{360\text{ }}\text{ }\times\text{ 2}\pi r\)From the question, the length is 15 cm while the central angle is 36
Thus we have;
\(\begin{gathered} 15\text{ = }\frac{36}{360}\text{ }\times\text{ 2}\pi r \\ \\ 150\text{ = 2}\pi r \\ \\ \pi r\text{ = 75} \\ \\ r\text{ = }\frac{75}{\pi} \end{gathered}\)Mathematically, the area of the circle will be;
\(\begin{gathered} A\text{ =}\pi\text{ }\times r^{2^{}} \\ \\ A\text{ = }\pi\text{ }\times\text{ }\frac{75}{\pi}\text{ }\times\text{ }\frac{75}{\pi} \\ \\ A\text{ = }\frac{75^2}{\pi}\text{ = 1,790.49 cm} \end{gathered}\)Solve the following: 5(2x+1)=50
Answers
Answer:
x = 9/2
Step-by-step explanation:
Answer:
x = \(\frac{9}{2}\)
Step-by-step explanation:
Given
5(2x + 1) = 50 ( divide both sides by 5 )
2x + 1 = 10 ( subtract 1 from both sides )
2x = 9 ( divide both sides by 2 )
x = \(\frac{9}{2}\)
I need a explanation and a answer to the problem plzzz
Answers
When multiplying the 2 and the -12 it would be -24, not 24. Which if my mental math is correct, would make the answer 6
Edit:
Note that subtracting a negative is the same as adding the absolute value.
so:
-24-(-30)
changes to
-24+30
and it equals
6
I need help one last time.
Here are the answer choices.
Y = 72
Y = 16
Y = 32
Y = 1
Answers
Answer:
y = 32
Solving Way #1:
This way uses the "tip" they give us of finding the relation between the first two values and then applying it to the second x.
k = \(\frac{y}{x}\)
2 = \(\frac{16}{8}\)
-
y = kx
y = (2)(16)
y = 32
Solving Way #2:
Since they vary directly which each other, we can set up a proportion to solve. I have y values on the top and x values on the bottom.
\(\frac{16}{8} =\frac{y}{16}\)
256 = 8y
32 = y
y = 32
Either way, when x is 16 y is 32.
A set of eight cards were labeled with A, D, D, I, T, I, O, N. What is the sample space for choosing one card?
S = {A, D, D, I, I, N, O, T}
S = {A, D, I, T, O, N}
S = {A, I, O}
S = {D, I}
Answers
The correct answer is S = {A, D, D, I, T, I, O, N}.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
The sample space is the set of all possible outcomes of an experiment or event.
In this case, the experiment is choosing one card from a set of eight labeled cards.
The sample space for this experiment is the set of all possible cards that can be chosen.
In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.
The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.
This is because each card is distinct and can be chosen independently of the others.
Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.
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Answer: A( A,D, D,I, I,N,O,T)
Step-by-step explanation:
Order does not matter!!
Find the value of k if the graph of y=kx passes through the given point.
A(4,-80)
K=?
Answers
The value of k from the equation is k = -20
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = kx be equation (1)
Let the first point be P ( 4 , -80 )
Substituting the values in the equation , we get
-80 = 4k
Divide by 4 on both sides of the equation , we get
k = - ( 80/4 )
On simplifying the equation , we get
k = -20
Hence , the equation is k = -20
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3 + 4 •2
Or
(3 + 4 ) • 2
Which has a grater value?
Answers
Answer: (3+4)*2
Step-by-step explanation: Without parenthesis, the answer would be 3 + (4*2), which is 3+8, or 11. (3+4)*2 is equal to 7*2, or 14
Answer:
(3 + 4) • 2
Step-by-step explanation:
If the dot represents multiplication then (B) is the answer.
4 × 2 = 8 | 8 + 3 = 11
3 + 4 = 7 | 7 × 2 = 14
Class A has 28 pupils and class B has 8 pupils.
Both classes sit the same maths test.
The mean score for class A is 34.
The mean score for class B is 78.
What is the mean score (rounded to 2 DP) in the maths test across both classes?
Answers
Answer:
43.78
Step-by-step explanation:
In this case, the formula for mean can be as followed:
\(mean = \frac{sum \: of \: all \: student \: scores}{number \: of \: students} \)
Let the sum of all student scores for class A and class B be A and B respectfully,
For Class A,
A/28 = 34
A/28 = 34A = 952
For Class B,
B/8 = 78
B/8 = 78B = 624
Now to find the mean score of both classes using the same formula,
Mean = (952+624)/(28+8)
= 43.77777777777778
≈ 43.78
I need help with this!!
Answers
Answer:
See below.
Step-by-step explanation:
1. Given
2. Commutative property of addition
3. Substitution property
4. Subtraction property of equality
5. Additive inverse property
6. Substitution property
7. Multiplication property of equality
8. Multiplicative inverse property
9. Substitution property
I am lost..? need to know answer?
Answers
Answer:
Can you take a closer picture? I will put my answer in the comments if I can do it.
The numerator of a fraction is 6 more than the denominator. If 5 is subtracted from the denominator, the fraction becomes 3/2. Find the fraction
Answers
Answer:
The fraction is 32/27
Step-by-step explanation:
let the fraction be x/y
x - y = 6
x = 6 + y ••••••(i)
This is according to the first sentence
Furthermore;
x/y-5 = 3/2
2x = 3(y-5) •••••(ii)
Substitute
2(6 + y) = 3y - 15
12 + 2y = 3y - 15
3y -2y = 12 + 15
y = 27
x = 6 + y
x = 6 + 27 = 33
45% of the students in Primary 5 are boys. There are 165 girls. How many more girls than boys are there in primary 5?
Answers
Answer:
30 more
Step-by-step explanation:
hope it helps friend.
Please answer it now in two minutes
Answers
Answer:
135.5
hope this helps :)
Florida has about 66 tornadoes each year, which is approximately 5.7% of all tornadoes in the United States annually. Estimate how many tornadoes occur in the United States each year
Answers
The number of tornadoes that occur in the United States each year is 1158
How to determine the tornadoes each yearLet's call the number of tornadoes in the United States each year "x".
The number of tornadoes in Florida each year is 5.7% of this total
So we can write:
66 = x * 5.7%
Divide both sides by 5.7%
x = 66/5.7%
Evaluate
x = approximately 1158
So, approximately 1162 tornadoes occur in the United States each year.
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PLEASE HELP ASAP!! EXPLANATION = BRAINLIEST! THANK YOU SO SO MUCH
A model of Spaceship Earth, a major tourist attraction at Epcot Center in Florida, is a sphere whose diameter is approximately 5 inches.
The volume of the model sphere is approximately ___ cubic inches.
Use 3.14 for pi. Round only your final answer to the nearest hundredth.
Answers
Answer:
See below.
Step-by-step explanation:
As the diameter is 5 inches, the radius “r” is 5/2 = 2.5 inches.
We calculate the volume of a sphere as follows: \(V = 4/3 \pi r^3\)
As we have to use 3.14 for pi, we’ll use that instead of “true” pi.
The formula becomes:
\(V = 4/3*3.14*2.5^3 = 65.42\)
The volume of the sphere is 65.42 cubic inches.
Yeah I need some help, I'm kinda confused on this entire test.
Answers
Answer:
Answer would be D
Step-by-step explanation: