Answer:
x = 7, y = 8Step-by-step explanation:
Given numbers in order:
4, 6, x, y, 10The mean is same as median.
The median is x as middle number. Since x is a whole number, the mean is also a whole number.
x and y can be selected from 7, 8 or 9 (numbers between 6 and 10).
The mean is:
(4 + 6 + x + y + 10)/5 =(20 + x + y)/5 = 4 + (x + y)/5It should be a whole number, so (x + y) should be divisible by 5.
The option is (7 + 8) = 15, and 9 is excluded.
Let's verify:
Median = x = 7Mean = 4 + (7 + 8)/5 = 4 + 3 = 7Mean:-
[tex]\\ \sf\longmapsto \dfrac{4+6+x+y+10}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}[/tex]
Median:-
n=5M(D)=n+1/2=5+1/2=3rd term[tex]\\ \sf\longmapsto M(D)=x[/tex]
Compare
[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}=x[/tex]
[tex]\\ \sf\longmapsto x+y+20=5x[/tex]
[tex]\\ \sf\longmapsto 4x=y+20[/tex]
[tex]\\ \sf\longmapsto x=y/4+5[/tex]
[tex]\\ \sf\longmapsto x[/tex]
Take pair of (7,8)
[tex]\\ \sf\longmapsto 7=8/4+5\implies 7=2+5[/tex]
Verified
Hence
x=7y=8Select the correct answer.
Ann is buying a house that costs $250,000. She is making a down payment of 15 percent, and her closing costs will amount to 3 percent. Over the life of her loan, she will pay $282,089.89 in monthly payments. What is the total cost of her house?
A.
$327,089.89
B.
$338,390.89
C.
$339,560.89
Answer:
c i think
Step-by-step explanation:
I'm sorry if not
what is 4 - (-10) equal too? explain in your own words and why so
Answer:
14
Step-by-step explanation:
When there are 2 -, they both create a +. the brackets are removed and you get 4--10, which is equal to 4+10 which = 14
Alexander earns 12% commission each week. Last week, he sold $6,400 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did make in commission in 2011?
Answer:
Commission = $768
Total amount commission in 2011 = $41,472
Step-by-step explanation:
Commission = Sales × 12% of sales
Commission = $6,400 × .12
Commission = $768
Number of weeks in a year = 52 weeks
Total amount commission in 2011 = Commission per month × Number of
weeks in a year
Total amount commission in 2011 = $768 × 52
Total amount commission in 2011 = $41,472
help plssah
answer the question...
Answer:
2
Step-by-step explanation:
1. The coordinates tell you that every 12 seconds 5 gallons of water runs from the
hose into a bucket
How many gallons of water were in the bucket after 1 second
Answer:
5/12 of a gallon
Step-by-step explanation:
5 divided by 12 is 5/12
please help me I really need help
1) 300 squared cm
2) 105 squared cm
3) about 165.75 squared cm
4) about 211.4 squared cm
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Neither
Step-by-step explanation:
Parallel lines need to have the same slopes, but lines A and B have different slopes, so parallel is off the list.
Perpendicular lines need slopes that multiply to -1, meaning one of them must be negative. This is not possible if both are greater than 1, making them positive. The lines cannot be perpendicular.
If they are the same line, they need the same slopes. However, they have different slopes, making this option impossible.
We are left with neither.
What is Logarithms ?
Answer:
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Answer:
In mathematics the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Name two pairs of congruent angles using the figure shown.
Option 1: ∠JKM ≅ ∠KJL and ∠JLM ≅ ∠KML
Option 2: ∠JLM ≅ ∠KJL and ∠JKM ≅ ∠KML
Option 3: ∠JKM ≅ ∠JLM and ∠KJL ≅ ∠KML
Option 4: ∠JLM ≅ ∠KJL and ∠JLM ≅ ∠JKM
A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.
Draw the normal curve
What range of hours constitutes 96% of light bulb hours of life?
Between 300 and 700 hours
Less than 600 hours
Answer:
C. 97.1 should be your answer
Step-by-step explanation:
g(x)=-4x+1;{-5, -1, 0, 2, 10}
Answer:G(-5)=21, G(-1)=5 G(0)=1 G(2)=-7 G(10)=-39
Step-by-step explanation:
Four equations are graphed on the coordinate grid: which set of equations has (-2,5) as its solution?
If you get it right ill give brainliest hurry pls
|9+40i| = |√9^2 + -40^2| = √1681 = 41
Answer: 41
Answer:
41
Step-by-step explanation:
We know that complex numbers are a combination of real and imaginary numbers
Real part is x and imaginary part y is multiplied by i, square root of -1
Modulus of x+iy =
Here instead of x and y are given 9 and 40
i.e. 9+40i
Hence to find modulus we square the coefficients add them and then find square root
|9+49i| =
By long division method we find that
|9+40i| =41
Find the slope between the following points: (6,-2) and (-18,4)
Answer:
[tex]-\frac{1}{4}[/tex]
Step-by-step explanation:
1. Use the slope formula:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
2. Using the x and y values from both points (it doesn't matter which order you choose the points in as long as you keep their numbering consistent, i.e. point 1 = [tex](x_1, y_1)[/tex] and point 2 = [tex](x_2, y_2)[/tex]) plug into the formula.
[tex]slope=\frac{4-(-2)}{-18-6}[/tex]
3. Simplify the fraction.
[tex]slope=\frac{6}{-24} =-\frac{1}{4}[/tex]
whats bigger? -6 or -5????? PLZ HELP
Answer:
-5 is more positive than -6. SO bigger, I think means less negative, so -5.
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
On a number scale, -5 is bigger than -6 because it is less negative than -6. You can also think about it in context: if the temperature was -5 degrees it would be warmer than -6 degrees so is therefore bigger!
Hope this helps!
What are the integer solutions to the inequality below?
[tex]10 \leq 2x \leq x+7[/tex]
Here's ur perfect answer
PLEASE HELP RLLY NEED ANSWER
Angle A and angle B are supplementary. The measure of angle B is 82.5.
What is the measure of angle A, in degrees?
Enter your answer as a decimal, if necessary, like this: 42.5
Answer:
97.5
Step-by-step explanation:
Supplementary means the angles add up to 180°
So,
m∠A = 180 - m∠B
m∠A = 180 - 82.5
m∠A = 97.5
which process do you preferred in identifying if the binomial is a factor of the polynomial?
Step-by-step explanation:
Remainder Theorem states that if polynomial f(x) is divided by a linear binomial of the for (x - a) then the remainder will be f(a). Factor Theorem states that if f(a) = 0 in this case, then the binomial (x a) is a factor of polynomial f(x).
PLEASE I NEED HELP
The figure shows a quarter circle and an equilateral triangle. What is the area of the shaded part? Give your answer to 3 significant figures. (Take π = 3.14.)
Answer:
14.0
Step-by-step explanation:
First, find the area of the whole circle using the equation pi * r^2.
pi * (7^2) = 49pi
Then, to only get the area of a quarter of the circle, divide this number by 4.
49pi/4 = 38.485
Then, to get only the shaded region, you have to find the area of the triangle and subtract it from the area of the quarter circle. The area of the triangle is found using 1/2 * b * h.
1/2 * (7*7) = 24.5
Then subtract that number from the previous one.
38.485 - 24.5 = 13.985
You need to round this to 3 significant figures, so it would be 14.0.
Hope this helps
For each of the following solids, find
1.
the volume,
(i) the total surface area,
of the solid.
(a)
(b)
24 cm
26 cm
1.2 m
0.5 m
50 cm
2.5 m
-PB
1.2 m
+20 cm
d
e
e
(c)
(d)
e
a
3.5 m
3.5 m 4m
40 cm
3.5 m
b
40 cm
and
Answer:
this is so easy and the answer of this all questions is54
write a math story about this problem : -4n = -24 how to find n!
Answer:
n=6
Step-by-step explanation:
-4n=-24
4n=24
n=24÷4
=6
solve pls brainliest
Answer:
1/3
Step-by-step explanation:
Answer:
b.1
Step-by-step explanation:
I NEED HELP WITH QUESTION 2 ONLY (GIVING BRAINIEST) 50 points
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. ANSWER: 6 (incorrect solution)
Steps:
Calculation: 5(6 - 3) = 6 + 13
Multiplication: 5 x 3 = 19
Checking the equality: 15 + 19
So there for the solution is not 6
2. Simplify both sides. Show your work.
3. Is x = 6 a solution to the equation? Why or why not? ANSWER: 6 is not the solution
Solving for x:
5(x – 3) = x + 13
5x - 15 = x + 13
5x - x = 13 + 15
4x = 28
x = 28/4
x = 7
Answer:
5x-15=x+13
Step-by-step explanation:
I don't know which equation you want me to simplify, so I assume it is, 5(x – 3) = x + 13?
here is a list of numbers: 12, 13, 19, 16 ,32, 15, 13.a)work out the range of the numbers in the list.b)work out the mean of the numbers in the list
Answer: Mean: 17.14 Range: 20.
Step-by-step explanation: 12+13+13+15+16+19+32 25+13+15+16+19+32 38+15+16+19+32 53+16+19+32 69+19+32 88+32 120/7 17.14
32-12 20
Please answer! I’ll give you Brainliest
A)
The four small squares are all 3x3, so the perimeter is 3+3+3+3 = 12.
12 * 4 = 48
We can find the perimeter of the large diamond shape using the Pythagorean theorem, a^2 + b^2 = c^2
a = 4
b = 4
4^2 + 4^2 = c^2
16 + 16 = c^2
32 = c^2
c = 5.65685425
So the perimeter of the large diamond shape is
5.65685425+5.65685425+5.65685425+5.65685425 = 22.627417
48+22.6 = 70.6
B)
The areas of the small squares are 3x3 = 9
9 * 4 = 36
The area of the large diamond shape is
5.65685425 * 5.65685425 = 32
36 + 32 = 68
Angles of a triangle worksheet
I got most of it but still confused on the rest… anyone got answers ASAP!
Answer:
I wish a could help u,
Step-by-step explanation:
I dont know what is that:)
Jasmine is reading a book. She has finished 23 of the book and has 56 pages left to read. How many pages has she read
Answer:
She would have 33 more pages left.
Step-by-step explanation:
You would want to subtract 23 from 56.
What are the group of boxes or cells in a table that go side to side (horizontal) is called?.
Answer:
A group of boxes in a table that go side to side (horizontal) are called: Grids.
:)
A group of boxes in a table that go side to side (horizontal) are called Grids.
What is a grid answer?
A pattern of intersecting horizontal and vertical lines that creates a grid of squares is known as a rd. A grid is also a system of wires that connects several locations in a region with electricity: a power grid.When straight lines cross over one other to form squares, it is said to be in a grid pattern. The grid on maps is designed to guide you in finding a certain object or location. ...an ironwork grid.An illustration of a grid would be the lines on graph paper. noun. (football) (football) the field.Learn more about grid
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Anyone Please Help (for A Brainly )
Answer:
y < x + 1
Step-by-step explanation:
Put the answer in desmos graphing calculator
the answer is y ≤ x + 1
ok done. Thank to me :>
Pls help fast
What is the recursive rule for the sequence shown in the graph
Answer:
[tex]a_{n} =a_{n-1} -4[/tex]
explanation:
The recursive rule for the given graph will be [tex]a_{n} = a_{n-1}-4[/tex] thus, option (A) is correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
In the given graph, as n increases [tex]a_{n}[/tex] decreases.
At n = 4 , a₄ = a₃ - 4 = 5 - 4 = 1
Thus, [tex]a_{n} = a_{n-1}-4[/tex] will be the recursive rule.
Hence "The recursive rule for the given graph will be [tex]a_{n} = a_{n-1}-4[/tex]".
To learn more about graphs,
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