Answer:
The mean is also increased by the constant k.
Step-by-step explanation:
Suppose that we have the set of N elements
{x₁, x₂, x₃, ..., xₙ}
The mean of this set is:
M = (x₁ + x₂ + x₃ + ... + xₙ)/N
Now if we increase each element of our set by a constant K, then our new set is:
{ (x₁ + k), (x₂ + k), ..., (xₙ + k)}
The mean of this set is:
M' = ( (x₁ + k) + (x₂ + k) + ... + (xₙ + k))/N
M' = (x₁ + x₂ + ... + xₙ + N*k)/N
We can rewrite this as:
M' = (x₁ + x₂ + ... + xₙ)/N + (k*N)/N
and (x₁ + x₂ + ... + xₙ)/N was the original mean, then:
M' = M + (k*N)/N
M' = M + k
Then if we increase all the elements by a constant k, the mean is also increased by the same constant k.
The density curve below represents the number of minutes after Naledi's alarm clock rings that she rises from bed.
Answer:
BOTH A and C
Step-by-step explanation:
answer pls>>>>>.
pls
Find the slope of the line through the given points (-7, 7), (-1,10)
Answer:
The slope would be 1/2.
Step-by-step explanation:
When solving questions like these, make sure to plug in the points into the formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = slope[/tex] . y2 would stand for the y coordinate of the second point, y1 would stand for the y coordinate of the first point. While x2 would stand for the x coordinate of the second point and x1 for the x coordinate of the first point. Once plugged in, it should look like this: [tex]\frac{10-7}{-1-(-7)}[/tex]. That should then give you the slope of 1/2. Hope this helps!! :D
1
Challenge A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it
travel in 28 minutes? In 1 hour?
Answer:
In 28 minutes the car will travel 18.67 miles
in 1 hour the car will travel 40 miles
Step-by-step explanation:
ʕ•ᴥ•ʔ
Determine the intercepts of the line.
- 4x + 7 = 2y - 3
4z = 7/10, what is z?
Answer:
7/40 hope it may help u
Step-by-step explanation:
4z=7/10
z=7/10×4
z=7/40
Answer:
4/70
Step-by-step explanation:
Area of composite shapes!!
Answer:
34.5 units²
Step-by-step explanation:
7 x 3 = 21
4.5 x 3 = 13.5
21 = 13.5 = 34.5 units²
Find the mean, median, and mode of the data:
2.4, 1.9, 3.3, 3.5, 3.2, 2.7, 1.1, 20.9, 2.4.
Answer:
I would need a picture to answer the question
HELP ME PLEASE I REALLY NEED AN ANSWER!
need help with this question
Answer: 21
Step-by-step explanation:
I need help
5th Grade: Module 2 - Lesson 23
please send me picture why bc i need do a division of that and show my work please help
problem: 9152/29
Answer:
Stealing
Step-by-step explanation:
Can someone help with all of these
Answer:
False
True
True
False
Step-by-step explanation:
90/5 = 18 x 8 = 144 jars of paint
90/3 = 30 x 10 = 300 sketch pads
300:144 = 25:12
whats 4 x 2/3 as a multiple of a unit fraction
The expression 4 x 2/3 as a multiple of a unit fraction is 8/3, which is equal to (1/3) x 8.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
To express 4 x 2/3 as a multiple of a unit fraction, we need to find a fraction that can be multiplied by a whole number to give us 4 x 2/3.
First, we can simplify 2/3 by dividing both the numerator and denominator by their greatest common factor, which is 1. This gives us:
2/3 = 2 ÷ 1 / 3 ÷ 1 = 2/3
Next, we can multiply 4 by 2/3 to get:
4 x 2/3 = 8/3
To express 8/3 as a multiple of a unit fraction, we can use the fact that any fraction can be expressed as a sum of unit fractions. We can start by expressing 1/3 as a unit fraction:
1/3 = 1 ÷ 3
Next, we can multiply both the numerator and denominator of 1/3 by 3 to get:
1/3 = 3 ÷ 9
Now we can express 8/3 as a sum of unit fractions:
8/3 = (3/9) x 8 = (1/3) x 8 = 8 ÷ 3
Therefore, 4 x 2/3 as a multiple of a unit fraction is 8/3, which is equal to (1/3) x 8.
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The product of a number and 9, increased by 4, is 58. Find the number
Answer:
first do 58-4 which is 54 then do 54/ 9 which is 6 so the number is 6
Answer:
6
Step-by-step explanation:
58 - 4 = 54
54/9 = 6 (because 9 x ? = 54)
NEED HELP PLEASE ! WILL MARL BRANIEST IF RIGHT
Answer:
-9, -2, 14
Step-by-step explanation:
-1 is < 0 so plug it into the first function.
8(-1) -1 = -9
0 is ≥ 0 so plug it into the second function
8(0)-2 = -2
2 is ≥ 0 so plug it into the second function
8(2) - 2 = 14
15 points!!!
Write an
equation of the parabola shown.
Answer:
Step-by-step explanation:
what happens to just the median?
Answer:
It increases
Step-by-step explanation:
Find the area. Use 3.14 for pi.
Round to the nearest tenth if necessary. A circle with a radius of 48mm
Answer:
7234.56
Step-by-step explanation:
A = pi * r * r
A = 3.14 * 48 * 48
A = 7234.56
mark me brainly plz
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
Here we've being provided with the information that is we have a circle with a radius of 48cm. And we've been asked to find out the area of circle.
Radius (r) = 48cm Pie (π) = 3.14 Area (a) = ?The standard formula to calculate area of circle is given by,
[tex]:\implies\tt{a = \pi {r}^{2} }[/tex]
[tex]:\implies\tt{a = 3.14 \times 48 \times 48}[/tex]
[tex]:\implies\tt{a = 3.14 \times 2304}[/tex]
[tex]:\implies\tt{a = 7234.56}[/tex]
The area of circle is 7234.56.(PS: We have assumed 48cm instead of 48mm given in question)
A bit stuck on how to do this
Answer:
x = 40°
Step-by-step explanation:
Two sides are the same length, so the angles opposite them are the same size.
The sum of the angles = 180°. One angle is 100°, so the sum of the remaining two angles is 80°.
Since the remaining two angles are congruent, each is 40°.
what is the area of a triangular prism with 1 1 1.2 1.2 and0.8
The graph shows the cost to rent a surfboard for different amounts of time. Cost to Rent a Surfboard Cast (dollars) 1 7 23 4 5 6 Amount of Time (hours) which list best represents the Independent values of the graphed points? 1 2.50, 2 15, 3, 22.50, 4, 30, 5, 37-50, 6, 45 5, 10, 15, 20, 25, 30, 35, 40, 45 H 7.50, 15, 22.50. 30. 37.50, 45 1. 2. 3. 4. 5. 6
Answer:
d
Step-by-step explanation:
Because it is asking for the amount of times and the dots land in 1,2,3,4,5,6 hope this helps :D
Melinda models the situation with the proportion 3/5 = x/30 Explain her error. Then show how to use the correct proportion to solve the problem
Answer: i don’t know
Step-by-step explanation:
Nolan invested $5,300 in an account paying an interest rate of 3.8% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $6,880?
HELP
Answer:
7
Step-by-step explanation:
did the question
The amount of money would be $6,880 in the account after 7 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given data as follows:
p = $5,300
r = 3.8%
A = $6,880
A = P(1+r/100)ⁿ
Substitute the values of p,r, and A in the formula,
6,880 = 5,300(1 + 3.8/100)ⁿ
6,880/5,300 = (1 + 0.038)ⁿ
1.2981 = (1.038)ⁿ
n = 6.9954
Rounded to the nearest digit, and we get
n = 7
Therefore, the amount of money would be $6,880 in the account after 7 years.
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Factor the follow expression:
8x−10
Select one:
2(x−5)
2(4x−5)
8(x−10)
2(4x−10)
Answer:
2(4x-5)
Step-by-step explanation:
find the greatest common factor (biggest number that goes into 8 and 10)
it is two
divide both by two
put 2 on the outside to symbolize that you multiply the inside by 2
2(4x-5)
Answer:
[tex]2(4x - 5)[/tex]
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
[tex]gcf = 2[/tex]
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]2( \frac{8x}{2} - \frac{10}{2} )[/tex]
3) Simplify each term in parentheses.
[tex]2(4x - 5)[/tex]
Therefor, the answer is Option B.
Plzzz help me!!
Here are tho options
A.-25 1/6 yd 2
B.22 1/6 yd 2
C.25 1/6 yd 2
D.61 5/6 yd
What are the solutions of 2x2 + 8x + 26 = 0?
Step-by-step explanation:
2×2 + 8x + 26 =0
4 + 8x + 26 =0
4 + 26 = 0-8x
30 = 8x
divide both sides by th coefficient of x
30
[tex] \frac{30}{8} = \frac{8x}{8} [/tex]
=3.75
Answer:
-2 +/- 3i
Step-by-step explanation:
Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon.
How long is the red ribbon if the length of the blue ribbon is:
10 inches?
27 inches?
x
inches?
PLS help
5 2/5 - 6 5/7
Answer:
1.2
Step-by-step explanation:
Given
52/5_65/7
10.4_ 9.28
1.2
x^2 + 8x + 7 = 0
what is the
x - intercepts:
Solutions:
Factors:
Vertex:
Axis of symmetry:
i will brainlest first answer and no need for explanation
Answer:
x - intercepts: -1, -7
Solutions: [is the x-intercepts] -1,-7
Factors: (x+1)(x+7)
Vertex: -4, -9
Axis of symmetry: x = -4
Step-by-step explanation:
A young person decides to put aside some money for retirement by putting $1,000 in a 30-year savings bond that pays 3.0% simple interest per year. The interest compounds. How much money will the person have after 30 years?
Answer:
2427.26 $
Step-by-step explanation:
Just use this formula when you have such type of problems:
N = N° (1 + %)^t
Where N = final amount
N°= initial amount
t = peroid of time
Now let's solve:
N = 1000(1 + 0.03)^30
N = 2427.26