The mean of a sequence of numbers is the average.
The true statement is: [tex]\mathbf{mn = m_1 \times n_1 + m_2 \times n_2}[/tex]
The given parameters are:
[tex]\mathbf{Mean = m}[/tex]
[tex]\mathbf{Size = n}[/tex]
The mean of a dataset is calculated as:
[tex]\mathbf{Mean = \frac{\sum x}{Size}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{\sum x}{n}}[/tex]
Multiply both sides by m
[tex]\mathbf{\sum x = mn}[/tex]
When the sequence is split into two, we have:
[tex]\mathbf{\sum x_1 = m_1\times n_1}[/tex]
[tex]\mathbf{\sum x_2 = m_2\times n_2}[/tex]
Where:
[tex]\mathbf{\sum x_ = \sum x_1 + \sum x_2}[/tex]
So, we have:
[tex]\mathbf{mn = m_1 \times n_1 + m_2 \times n_2}[/tex]
Hence, the true statement is: [tex]\mathbf{mn = m_1 \times n_1 + m_2 \times n_2}[/tex]
Read more about mean and averages at:
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A 16-cup carton of ice cream costs $12.00. What is the price per pint?
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Answer:
$1.50 per pint
Step-by-step explanation:
1 pint = 2 cups, so the cost of it is ...
x/(2 cups) = $12/(16 cups)
x = (2)($12/16) = $1.50 . . . . . . multiply by 2 cups
The price per pint is $1.50.
Give the digits in the hundred thousands place and the ten thousands place.
746,089
Answer:
Hundred thousands - 7
Ten Thousands- 4
Step-by-step explanation:
Which of the following can be used to show that these triangles are congruent
Answer: SSS
Explanation: All angles are congruent, so SSS would represent that.
Evaluate the function f(x) =-x/2 -7x -2 find f(-9)
Answer:
[tex]f(-9)=\frac{131}{2}[/tex]
Step-by-step explanation:
In order to evaluate a function at a given x-value, plug in that value into the actual function
[tex]f(x)=-\frac{x}{2} -7x-2\\\\f(-9)=-\frac{9}{2} -7(-9)-2\\\\f(-9) = \frac{131}{2}[/tex]
PLS HELP PLS HELP PLS HELP
The answer is 3/22
Hope this help~
By noon, the temperature in Juneau had risen by 16ºF.
What was the temperature there at noon?
Answer:
-17 degrees F
Step-by-step explanation:
Assuming that the temperature in the chart is the temperature before noon, all we need to do to find the temperature at noon is to add 16 degrees Fahrenheit to the table value (since "risen by 16 degrees F" means to increase by 16 degrees, aka to add 16 degrees).
So,
-33 + 16 = -17
If I eat three-eighths of a candy bar and give one-eighth of it to my friend, how much do I have left?
Answer:
4/8
Step-by-step explanation:
[tex] \frac{8}{8}(or \: 1) - \frac{3}{8} = \frac{5}{8} [/tex]
[tex] \frac{5}{8} - \frac{1}{8} = \frac{4}{8} [/tex]
answer= 4/8
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
You ate [tex]\frac{3}{8}[/tex] of a candy bar.
And you have gave [tex]\frac{1}{8}[/tex] of the candy bar to a friend.
Altogether, you have ate and given to a friend,
[tex]\frac{3}{8} +\frac{1}{8} =\frac{4}{8}[/tex]
Now let's find how much have left now,
[tex]1-\frac{4}{8}[/tex]
[tex]\frac{8}{8} -\frac{4}{8}[/tex]
[tex]\frac{4}{8}[/tex]
[tex]\frac{1}{2}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
The variable r is directly proportional to the square of t, and r = 144 when t = 72.
Write the equation that expresses the relationship between the variables. (Let k represent the variation constant.)
Using the given data, solve for the variation constant k.
Answer:
k=0.023
Step-by-step explanation:
[tex]r \alpha {t }^{2} \\ r = k {t}^{2} \\ 144 = k \times {72 }^{2} \\ k = \frac{144}{ {72 }^{2} } \\ k = 0.023 \\ the \: eqn \: is \: therefore \\ r = 0.023 \times {t}^{2} [/tex]
The equation that expresses the relationship between the variables is r=kt and the variation constant k=2.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, the variable r is directly proportional to the square of t
Now, r∝t
r=kt
Here, r =144 when t =72
Thus, 144=k×72
k=2
Therefore, the equation that expresses the relationship between the variables is r=kt and the variation constant k=2.
To learn more about the proportional relationship visit:
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Question 5 - Last night 20 mm of rain fell in 4 h. If it continues raining at the same rate, how
long will it take for 45 cm of rain to fall?
Answer:
Step-by-step explanation:
45 divided by two
Come on the perimeter of a rectangular pool is 360 m if the length of the pool is 98 m what is its width?
Answer:
82m
Step-by-step explanation:
Hello can someone please help me with this
Answer:
I would assume it is c. 1, because of rounding, but I'm only 70% sure.
What equals 10³ I need to know
Answer:
1,000
Step-by-step explanation:
10 x 10 x 10 = 1,000
1000
Step-by-step explanation:
10³
=10×10×10
1000
Dean was flying his drone at an elevation of 307 feet. A strong gust of wind then caused it to drop 59 feet.
What is the elevation of the drone now?
Answer:
The elevation is 248 feet.
Step-by-step explanation:
You subtract 307-59.
The total number of boys and girls in a class are 45 students. If 65% of the children are girls, what percentage are boys?
Answer:
35%
Step-by-step explanation:
100% - 65% = 35%
Hope this helps!
Answer:
35%
Step-by-step explanation:
65% of 40 is 29.25
40-29.25=15.75
15.75 over 45 × 100 = 0.35
0.35 is also written as 35%
This is just a longer method if it requires more steps:)
6x+3>15 solve for a please
Answer:
x>2
Step-by-step explanation:
1) 6x+3 > 15
2) 6x > 15-3
3) 6x > 12
4) x > 12÷6
5) x > 2
For a project in his Geometry class, Ryan uses a mirror on the ground to measure the height of his school’s football goalpost. He walks a distance of 12.15 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center. He then walks 3.4 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.35 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
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Answer:
4.82 m
Step-by-step explanation:
The mirror reflects light at the same angle the light hits it, so the triangles formed by the line of sight, the ground, and the objects involved are similar. This means corresponding lengths are proportional.
height/mirror distance = T/12.15 = 1.35/3.4
Multiplying by 12.15, we find the top of the goalpost to have a height of ...
T = 12.15(1.35/3.4) ≈ 4.82 . . . meters
The goalpost is about 4.82 meters high.
Here is a list of number 31,29,33,37,43,38,33,40a) work out the range of the number in the list
Answer:
14
Step-by-step explanation:
Range means the difference between the highest and lowest values in a set.
According to this question,
31, 29, 33, 37, 43, 38, 33, 40
Highest value = 43
Lowest value = 29
Now lets find the range of this data set.
Range = 43 - 29
= 14
Hope this helps you.
Let me know if you have any other questions :-)
arrange the following in ascending order
3/4 , -1/3 , 1/-2 , 3/10
Answer:
Ans: 1/-2 , -1/3 , 3/10 , 3/4
Step-by-step explanation:
The LCM of 2, 3, 4 and 10 is 60.
Let's make denominator equal,
→ 3/4 , -1/3 , 1/-2 , 3/10
→ 3×15/4×15 , -1×20/3×20 , -1×30/2×30 , 3×6/10×6
→ 45/60 , -20/60 , -30/60 , 18/60
Now we can order in ascending,
→ -30/60 , -20/60 , 18/60 , 45/60
→ 1/-2 , -1/3 , 3/10 , 3/4 {final answer}
Write $1.50 to $12.00 as a ratio in fraction form in lowest terms.
Answer:
1/8
Step-by-step explanation:
Dry Clean USA has finished cleaning 30% of their 730 orders. How many orders do they still need to finish cleaning?
Step-by-step explanation:
100% = 730
1% = 100%/100 = 730/100 = 7.3
30% = 1% × 30 = 7.3 × 30 = 219
so, they finished 219 of their 730 orders.
that leaves 730 - 219 = 511 orders still to be finished.
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describe fully the single transformation which takes shape a onto shape b
Answer:
Rotation
Step-by-step explanation:
Rotation, point of rotation is (6,6)
7. How much would it cost to buy 10 pens from the school store?
8. How much will it cost for 10 pencils and one notebook?
Answer to Question 7: $5
Answer to Question 8: $6.25
Step-by-step explanation:Explanation to Question 7: 0.5 × 10 = $5
Explanation to Question 8: 0.5 × 10 = $5 => 5 + 1.25 = $6.25
Hoped this helped.
There are 594 calories in six ounces of a certain ice cream. How many calories are there in two pounds?
1 pound=16 ounces
Before you try that problem, answer the question below.
How many ounces will you need to find the number of calories for?
Answer:
3,168 cal= 2lbs of Ice Cream
Step-by-step explanation:
I need to fin how many calories are in two pounds of that ceratin ice cream.
594cal/6=99cal
99cal=1 oz
16oz x 2 = 32oz
99 x 32 = 3,168 cal
There is 3,168 cal in two pounds of ceratin ice cream.
Total consumption of fruit juice in a particular country in 2006 was about 1.41 billion gallons. The population of that country in 2006 was 400 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?
Answer:
3.525 gal/person
Step-by-step explanation:
My class would consume 52.875 gallons
Angles 1 and 2 are coresponding angles angle 1 is 3x+15 angle 2 is 4x-5 degrees.
what is the value of x
Answer:
10
Step-by-step explanation:
3x+15+4x-5=180
7x+10=180
7x=170
x=10
The circle graph shows a family budgets it’s annual income.if the total annual income is 140,000, what amount is budgeted for auto expenses?
Answer: The amount budgeted for Auto Expenses is $18,200
Step-by-step explanation:
13 Percent of $140,000 is $18,200
0.13 times 140,000 :-)
If 20% of the students were boys, what fraction were girls?
Answer:
Girls are 4/5 of the students.
Step-by-step explanation:
boys + girls = 100% of students.
If 20% of the students are boys then 80% are girls
80% = 80/100 = 4/5
Please answer right!
Answer:
Step-by-step explanation:
5x + 2 - 3x - 1 = 3x + 2
5x - 3x - 3x = - 2 + 1 + 2
5x - 6x = 1
-1x = 1
x = 1 / -1
x = -1
Lcd of 4/5 , c/7 where c=3
Answer:
35
Step-by-step explanation:
