Answer:
The value of a is 7.
Step-by-step explanation:
To calculate mean, add all of the numbers in the set and divide by the number of terms in said set. There are 7 numbers in this set, so the equation can be set up as follows.
(4 + 10 + 3 + 6 + a + 9 + 10)/7 = 7
Simplify the terms on the top.
(42 + a)/7 = 7
Multiply both sides by 7.
42 + a = 49
Subtract both sides by 42.
a = 7.
Proof:
(4 + 10 + 3 + 6 + a + 9 + 10)/7 = 7
Substitute variable.
(4 + 10 + 3 + 6 + 7 + 9 + 10)/7 = 7
Add in the parenthesis.
49/7 = 7
Divide.
7 = 7.
Solve the system of equations! I will mark branliest!
Answer:
x = 16/3, y = -1/9
Step-by-step explanation:
4x + 1 = 5(x-3y) - 6
3(x+6y) + 4 = 9y + 19
Simplify both equations
4x + 1 = 5x-15y - 6
-x + 15y = -7
3x + 18y + 4 = 9y + 19
3x + 9y = 15
Now multiply 3 on both sides for the first equation.
(easier for adding both equations)
-3x + 45y = -21
3x + 9y = 15
Add both equations
x cancels out
54 y = -6
y = -1/9
plug in to other equation
3x + 9y = 15
3x - 1 = 15
3x = 16
x = 16/3
For an art project, a cone is covered with paper without any gaps or overlaps. The height of the cone is 28 inches and its diameter is 14 inches.
What is the surface area of the covering to the nearest square inch?
The surface area of the covering of the cone to the nearest square inches is 788 inches²
Surface area of a conesurface area of a cone = πr(r + l)
where
r = radiusl = slant lengthTherefore,
diameter = 2(radius)
14 = 2r
r = 14 / 2
r = 7 inches
l² = 7² + 28²
l = √49 + 784
l = √833
l = 28.8617393793
l = 28.86 inches
Therefore,
surface area = 3.14 × 7 (7 + 28.86)
surface area = 21.98 × 35.86
surface area = 788.2028
surface area = 788 inches²
learn more on surface area here: https://brainly.com/question/13343525
Answer: Here you go :)
Step-by-step explanation:
Hope this helps, have a nice day!
Click on the time that passed from start to end.
Pls help
Answer:
the answer is 28 minutes
Juan and two of his friends are going to share of a pizza. How much will each person get?
(A) 2/3 of the pizza (B) 1/4 of the pizza (C) 1/3 of the pizza (D) 1/6 of the pizza
Answer:
[C] 1/3 of the pizza
Step-by-step explanation:
Given that:
Juan and two of his friends are going to share of a pizza.
Thus, we know that:
Juan + two of his friend = 3 people
Hence, each person gets
1/3 of the pizza
Check Answer
1/3 × 3 =1 whole {whole pizza}
or we can do
1/3 + 1/3 + 1/3 = 1 whole.
We can also do this:
Numerator = how many each person gets
Denominator = Total people
For more info about Numerator and Denominator:
https://brainly.com/question/20712359
Kavinsky
What is the answer to this 3x+17=-2x-13???
Answer:
x = -6
Step-by-step explanation:
3x + 17 = -2x - 13
==> add 2x to both sides
5x + 17 = - 13
==> subtract 17 from both sides
5x = -30
==> divide both sides by 5
x = -6
-10Y +8 - Y + 2X + X - 3 SIMPLIFY
Write the equation of the line that passes through the points (4,8) and
(1,8). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answer:
y=8
Step-by-step explanation:
vertical lines parallel to x axis
Quadrilateral wxyz is a paralelogram if w=50
what is wzy
2x2x-2x2 what do u get when u add them together and multiply
Answer:
4x - 4
Step-by-step explanation:
Step-by-step explanation:
Hehe just my try hope it helps you( ＾∇＾)An empty container in the shape of a cube 6 inches deep is filled with plastic cubes.
How many plastic cubes measuring 1 inch across each face will it take to fill the container?
Enter your answer in the box.
Answer:
108
Step-by-step explanation:
Dwayne used 12 centimeters of tape to wrap 6 presents. How much tape will Dwayne need in all if he has to wrap 9 presents?
Answer:
18cm
if it takes 12cm to wrap 6 presents, it means it takes 2cm to wrap one present.
9 individual presents will take 2 wraps, so Dwayne needs 18cm of wrapping paper.
Find the surface area of the pyramid
Answer:
can u show a more clear picture or tell me the numbers on it
The length of a rectangle is 3 less than 4 times
the width. The perimeter is 34. Find the length
and width.
Let
x = width
4x-3 = length
w=x
P = 2w + 2L
34 = 2x + 2(4x-3)
L=4x-3
→ Perimeter = 2( Length + Width)
→34 = 2x + 2(4x-3)
→34 = 2x + 8x - 6
→34 = 10x -6
→10x = 34 +6
→10 x = 40
→x = 40/10
→x = 4
Width is 4 unit and length is (4*4 -3) = 13 unit.Hope this helped you!
Table 2. Hybrid Car Sales in the USA Year 2005- 205,828 Year 2007-352,852 Year 2012-432,798. By What percent did tje sales of hybrid cars increase from 2005 to 2012? Rnter your answer rounded to the nearest whole percent
The percentage increase in the sales of hybrid cars from 2005 to 2012 is 10%.
What are percentages?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency.
What is the increase in the percentage of hybrid cars?Percentage increase = (number of cars sold in 2012 / number of cars sold in2005)^(1/n) - 1
(432,798/ 205,828)^(1/8) - 1 = 10%
To learn more about percentages, please check: https://brainly.com/question/25764815
Alvarez has $650 deposited into his bank account. The account earns simple interest of 5. 5% per year. No other money is added or withdrawn from the account for a period of four years. What is the total amount of money in the account after four years?
Answer:
$793
Step-by-step explanation:
The amount of money in an account earning simple interest is given by the formula ...
A = P(1 +rt)
where P is the principal invested at rate r for t years.
__
Using the values given in the problem statement, the account balance can be found to be ...
A = $650(1 +0.055×4) = $650×1.22 = $793
There will be $793 in the account after 4 years.
Write an equation for the line in point-slope and slope-intercept forms.
Passes through (3, 5) and has a slope of 5/3.
point-slope form: y-y₁ = m(x-x₁)
=============
[tex]\rightarrow \sf y - 5 = \dfrac{5}{3} (x-3)[/tex]
slope-intercept form: y = mx + b
============
[tex]\rightarrow \sf y - 5 = \dfrac{5}{3}(x)+ \dfrac{5}{3}(-3)[/tex]
[tex]\rightarrow \sf y - 5 = \dfrac{5}{3}(x)-5[/tex]
[tex]\rightarrow \sf y = \dfrac{5}{3}(x)-5+5[/tex]
[tex]\rightarrow \sf y = \dfrac{5}{3}(x)[/tex]
point slope form:-
y-y_1=m(x-x_1)y-5=5/3(x-3)3(y-5)=5(x-3)3y-15=5x-15Slope intercept form
y=mx+b
3y=5xy=5/3x+0Robert is going to invest $640 and leave it in an account for 20 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest hundredth of a percent, would be required in order for Robert to end up with $1,280?
Answer:
The answer is: 3.48%
Step-by-step explanation:
Answer :
R = 3.48%
interset rate
Carmen is going to roll an 8-sided die 200 times. she predicts that she will roll a multiple of 4 twenty-five times. based on the theoretical probability, which best describes carmen’s prediction? carmen’s prediction is exact because 200 times startfraction 1 over 8 endfraction is 25. carmen’s prediction is low because 200 times one-fourth is 50. carmen’s prediction is low because 200 divided by 2 is 100. carmen’s prediction is high because 200 divided by 25 is 8.
The expected value is 50 then Carmen’s prediction is low because 200 times one-fourth is 50. Then the correct option is B.
How to calculate the expectation value?Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.
Thus, if the random variable is X, and its probability mass function is given as
[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]
(n is the number of values X takes)
Carmen is going to roll an 8-sided die 200 times.
She predicts that she will roll a multiple of 4 twenty-five times.
The sample will be
Total event = 8 {1, 2, 3, 4, 5, 6, 7, 8}
Then the favorable event will be to roll an 8-sided die and get a multiple of 4. Then we have
Favorable event = 2 {4, 8}
Then the probability will be
[tex]\rm P = \dfrac{2}{8} = \dfrac{1}{4}[/tex]
A dice is rolled 200 times, then by the binomial theorem we have the expected value will be
[tex]E(x) = nP = 200 \times \dfrac{1}{4} = 50[/tex]
More about the expectation link is given below.
https://brainly.com/question/19585939
Answer:
B
Step-by-step explanation:
Yvonne’s age, in years, is represented by y. Rebekah’s age is one year less than three times Yvonne’s age. What expression represents Rebekah’s age in years?
The expression that can be used to represent Rebekah's age in years given Yvonne's age is 3y - 1.
What expression represents Rebekah’s age?Mathematical expressions are statements that contain a combination of numbers and variables.
Given that Yvonne's age is y.
Rebekah's age = one less than 3 times y. 'less' means subtraction and 'times' means multiplication.
(3 x y) - 1
3y - 1
To learn more about mathematical expressions, please check: https://brainly.com/question/11980704
And how far away is this value from the mean? _____ million
Answer:
Mean: (1.5+3.8+1.3+1.6+2.9+1.4+0.9+2.3+8.4+1.3)/10 = 2.54
Lowest Number: :: 2.54 - 0.9 = 1.64 million less than mean
Highest number: :: 8.4 - 2.54 = 5.86 million more than mean mean
What is the answer to 3x +5x
Answer:
8x
Step-by-step explanation:
To do this we simply add the coefficients of x to give us our answer:
3 + 5 = 8
So our answer is 8x
One way to put this into perspective is to imagine x is the number of apples:
If you add 3 apples and 5 apples you get 8 apples.
Always do this trick when collecting like terms in algebra.
which of the following is an equations of the line passing through the points (-1,4) and (1,2)
Answer:
y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)
Step-by-step explanation:
You need to do slope-intercept formula and the slope formula.
The Slope-Intercept Formula: y=mx+b
The Slope Formula: y2 - y1 / x2-x1
Your coordinates:
(-1,4) and (1,2)
2 - 4/1- (-1)
-2/2
Simplified is -1
Your "m" in the slope-intercept formula is -1
Formula: y=-1x + b
Now, you need to find the Y-Intercept which is the "b"
Using our slope-intercept formula, you need to plug in "x1" and "y1"
4 = -1(-1) + b
4 = 1 +b
4-1 = b
3 = b
So your equation is:
y = -1x + 3 or y = -x + 3
need some help with the question in the image
Cheers
Answer:
22%
Step-by-step explanation:
formula for percentage increase:
increase/original number x 100
increase is $66 (366-300)
66/300 x 100
= 22/100 x 100
= 22
hope this helped :)
Which statements are true about the data sets? check all that apply. set a is symmetrical. set b has the same mean and median. set b is right skewed. set a is left skewed. the median of set a is larger than the mean of set a.
1) The mean of set A is larger than the mean of set B.
2)The median of set A is larger than the median of set B.
A = {10, 12, 12, 6, 8, 5, 4, 10, 8, 10, 12, 12, 6}
B = {8, 8, 8, 7, 9, 7, 9, 10, 6, 8}
What is the mean?Mean is the ratio of the sum to the total number of observations.
Mean of set A = 115/13
Mean of set B =80/10 =8
So, the mean of set A is larger than the mean of set B.
Arranging both the sets in ascending order
A = {4, 5, 6, 6, 8, 8, 10, 10, 10 12, 12, 12, 12 }
Median of set A = middle term = 7th term = 10
Similarly, the median of set B =8
So, the median of set A is larger than the median of set B.
Thus, 1) The mean of set A is larger than the mean of set B.
2)The median of set A is larger than the median of set B.
Answer:
B D E
Step-by-step explanation:
I took the assignment and these are right. :)
The side lengths of △JKL are 60 cm, 80 cm, and 100 cm. Which formula can be used to show that △JKL is a right triangle?
Answer:
a^2 +b^2= c^2
Step-by-step explanation:
to prove that a triangle have right angles triangle you have to use the Pythagoras theorem
Find the value of x
please help!!!
Sum of the interior angles of any n-side shape must equals to :
[tex](n - 2) \times 180[/tex]
Thus ;
[tex](5 - 2) \times 180 = [/tex]
[tex] 3\times 180 = [/tex]
[tex]540 \: \: degrees[/tex]
So :
[tex]x + 122 + 100 + 90 + 144 = 540[/tex]
[tex]x +456 = 540[/tex]
Subtract both sides 456
[tex]x + 456 - 456 = 540 - 456[/tex]
[tex]x = 84[/tex]
There u go...
Have a great day ♡♡♡♡♡What is 1/6 x 1/7 x 588 = ???
Answer:
14
Step-by-step explanation:
Because I looked it up
You and Omar are talking about which two frozen treats would be best to sell. Omar claims that because 50% of the frozen treats sold in Week 1 were sundae cups, the sundae cups accounted for 50 % of the profit. Is Omar correct? Provide an explanation to justify your answer
Answer:
Step-by-step explanation:
He may or not be correct. It depends on the profit you make on each sundae cup compared with the profit on the other treat. The other treat might give a higher profit.
Omar is correct since if 50% of the
What is Profit?Profit is defined as the amount gained by a person or business.
Profit = Total Revenues - Total cost
Given that,
you and Omar are talking about which two frozen treats would be best to sell.
Omar claims that because 50% of the frozen treats sold in Week 1 were sundae cups, the sundae cups accounted for 50 % of the profit.
Total number of the frozen treats = 100%
If 50% of the frozen treats sold in Week 1 were sundae cups, then the profit of the frozen treats will be 50% of the total which came from sundae cups.
Hence Omar is correct.
Learn more about Profit here :
https://brainly.com/question/15699405
#SPJ2
Twelve is 14 more than an unknown number
Answer:
-2
Step-by-step explanation:
Since 12 is more
12 - 14
-2
Write an equation for the line on the graph below:
Answer:
y=2
Step-by-step explanation:
Hey there!
The answer is y=2 because the x-axis is not defined (there's no value for it as the line didn't pass through it)