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Explanation:
S = sum of the salaries of the first 15 employees
S/15 = mean of the 15 salaries
S/15 = 2930
S = 15*2930
S = 43950
The 15 workers salaries add to 43950.
If we add on a new 16th salary of 3138, then the sum bumps up to
S+3138 = 43950+3138 = 47088
This is the sum of the 16 workers salaries. Divide this over 16 to get the new average
47088/16 = 2943
The new mean is 2943
It is larger than the old mean because the 16th salary is larger than the mean. Effectively this new salary pulls on the mean to make it larger. With very distant outliers, the mean is pulled a lot which often causes problems. So this is why the median is a better measure of center in those situations. Either that measure of center, or using a trimmed mean works as well.
Find two numbers between 3.456 and 3.457
Answer:
3.4567
3.4568
Step-by-step explanation:
We need to find a number between 3.456 and 3.457. In order to do so, we need to dive deeper into the decimal to get numbers in-between.
We need to dive to the ten-thousandths place to get numbers between the two.
sherry had $125.05 in her checking account She made deposit of $28.35 and $78.88 how much money was in sherry account after the deposit
Answer:
$17.82
Step-by-step explanation:
[tex]125.05 - 28.35 = 96.7 \\ 96.7 - 78.88 = 17.82[/tex]
Answer: $232.48
Step-by-step explanation: an equation you could use would be:
125.25+(28.35+78.88)
Add parentheses: 28.35+78.88= 107.23
Add the rest: 125.25+107.23= 232.48
A submarine is 450 feet below sea level. It descends 300 feet. What is its new position?
Answer:
750 feet below sea level
Step-by-step explanation:
This submarine is now 750 feet below sea level because:
450 + 300 = 750.
So, the answer is 750.
Hope this helps you!
15 inches of snow fell in 12 hours. At this rate, how many inches of snow will fall in 3 days.
Answer:
90 in
Step-by-step explanation:
15 x 6 = 90 in
This is because
6 x 12 hrs = 3 days
Answer:
90 inches total
Step-by-step explanation:
1 day= 24 hours
12x2=24
15x2=30
30x3=90
3o inches of snow in a full day, and 3 days of snow so 90 inches total
George bought 3 peppers for a cost of $0.40 each. How much will he pay for the peppers?
Answer:
Hey there!
Three peppers of 0.40 dollars each would be 0.4+0.4+0.4, or 1.2 dollars.
Hope this helps :)
Which function has an inverse that is a function?
b(x) = x^2 + 3
d(x) = -9
m(x) = -7x
p(x) = |x|
Answer: m(x) = -7x
Step-by-step explanation:
egen2020
The which function has an inverse that is a function is m(x) = -7x
How can we know if a function has an inverse?
let f be a Function. If any horizontal line intersects the graph of f extra than once, then f does now not have an inverse. If no horizontal line intersects the graph of f greater than once, then f does have an inverse. The belongings of getting an inverse may be very vital in arithmetic, and it has a call.
There are one-of-a-kind forms of inverse function just like the inverse of trigonometric functions, the inverse rational capabilities, inverse hyperbolic features, and inverse log capabilities.
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what is the length of AD, in centimeters?
Answer:
AD=2
Step-by-step explanation:
[tex]\frac{6}{12} =\frac{AB}{20} \\AB=\frac{6}{12} \times 20=10\\AD+DF+FB=10\\AD+6+FB=10\\AD+FB=10-6=4\\AD+AD=4 ( \because ~FB=AD )\\2AD=4\\AD=4/2=2[/tex]
Which sequence of transformations creates a similar, but not congruent, triangle? (4 points) 1) Rotation and translation 2) Reflection and rotation 3) Dilation and rotation 4) Translation and reflection
Answer:
3) Dilation and rotation
Step-by-step explanation:
Rotation, translation, and reflection are rigid motions. They always result in congruent figures. If you don't want a congruent figure, you need to have dilation by a factor other than 1.
Similar, but not congruent, figures will be created by ...
Dilation and Rotation
Answer:Dilation and rotation
Step-by-step explanation:
does anybody know this ???
Answer:
(a) angle ACB is not proper way
Answer:
A.
Step-by-step explanation:
We can read the angle with the labels found in answers B, C and D.
i dont understand how to do this
Question #2 Answer: 76
Calculate 4 to the power of 3 and get 64.
64−(−3)381+9≈76
Calculate −3 to the power of 3 and get −27.
64−−2781+9=76
Divide 81 by −27 to get −3.
64−(−3)+9=76
The opposite of −3 is 3.
64+3+9=76
Add 64 and 3 to get 67.
67+9=76
Add 67 and 9 to get 76.
76
---------------------------------------------------------------
Question #3 Answer: -4
Calculate 2 to the power of 4 and get 16.
16−324−12=−4
Divide 24 by 3 to get 8.
16−8−12=−4
Subtract 8 from 16 to get 8.
8−12=−4
Subtract 12 from 8 to get −4.
−4
solve the inequality 5x - 4 > 4 - 3x
Answer:
x>1
Step-by-step explanation:
5x - 4 > 4 - 3x
Add 3x to each side
5x+3x - 4 > 4 - 3x+3x
8x -4 > 4
Add 4 to each sdie
8x-4+4 > 4+4
8x> 8
Divide each side by 8
8x/8 >8/8
x > 1
Step-by-step explanation:
5x-4>4-3x
5x+3x>4+4
8x>8
8x/8>8/8
x=1
10 points for anyone that can help me on this PRE-ALGEBRA QUESTION SEE ATTACHMENT BELOW
Answer:
Step-by-step explanation:
12 percent of 4000 is what
Answer:
480
Step-by-step explanation:
4000 * 0.12 = 480
Answer:
the answer is 480
Step-by-step explanation:
Write 12% as
12
100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
12/100 of 4000
12/100 × 4000
5/16 as a decimal..?
Answer:
0.3125
Step-by-step explanation:
type that into a calculator
graph the following lines y=2/3 x +4
Answer:
See attached graph.
Step-by-step explanation:
This equation is already in slope-intercept form.
This means the term next to the x is the slope, and the constant being added is the y-intercept.
We know that the y-intercept will be 4 because that’s the constant being added. We also know the slope is [tex]\frac{2}{3}[/tex].
A slope of [tex]\frac{2}{3}[/tex] will increase in x by 3, for every increase in y by 2.
This info can help us make the graph.
Hope this helped!
Hudson bought a plant and planted it in a pot near a window in his house. The initial height of the plant was 8 inches and it grew at a rate of 3 inches per month. Write an equation for H,H, in terms of t,t, representing the height, in inches, of the plant tt months after Hudson bought the plant.
Answer:
H = 3t + 8
Step-by-step explanation:
Since the plant has an initial height of 8 inches, this will be added to the amount it grows each month.
3t will represent how much it grows t months after he bought the plant, since it grows 3 inches each month.
So, the equation will be H = 3t + 8
For the following system, if you isolated x in the first equation to use the substitution method, what expression would you substitute into the second equation? −x + 2y = −6 3x + y = 8
Answer:
[tex]x=2y+6[/tex]
Step-by-step explanation:
So we have the system:
[tex]-x+2y=-6\\3x+y=8[/tex]
If we isolate the x-variable in the first equation:
[tex]-x+2y=-6[/tex]
Subtract 2y from both sides:
[tex]-x=-6-2y[/tex]
Divide both sides by -1:
[tex]x=2y+6[/tex]
Therefore, we would substitute the above into the second equation:
[tex]3x+y=8\\3(2y+6)+y=8[/tex]
The answer is 2y+6
Further notes:
To solve for the system, distribute:
[tex]6y+18+y=8[/tex]
Simplify:
[tex]7y+18=8[/tex]
Subtract:
[tex]7y=-10[/tex]
Divide:
[tex]y=-10/7\approx-1.4286[/tex]
Now, substitute this value back into the isolated equation:
[tex]x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429[/tex]
Step-by-step explanation:
Start by solving the equation for x (☓)
[tex] - x + 2y = 6 \\ \: \: \: \: \: 3 + y = 8[/tex]
[tex]x = 6 + 2y[/tex]
Substitute the given value of x for the equation 3 + y = 8[tex]3(6 + 2y) + y = 8[/tex]
solve the equation for y[tex]y = - \frac{10}{7} [/tex]
substitute the given value of y into the equation x = 6 + 2[tex]x = 6 + 2 \times ( - \frac{10}{7} )[/tex]
solve the equation for x[tex]x = \frac{22}{7} [/tex]
The possible solution of the system is the ordered pair (x,y)[tex] (\frac{22}{7} . - \frac{10}{7} )[/tex]
The dot (.) in the center is supposed to be a comma but the scientific keyboard does not support a comma[tex](x.y) \: \: ( \frac{22}{7} . - \frac{10}{7} )[/tex]
This is the solution Marnie out!1. Find the equation of the tangent line to the parabola y = x^3 at the point P(2,8).
Use x = 2.1, 2.01, 2.001, 2.0001, 2.00001; 1.9,1.99, 1.999,1.9999, 1.99999 to find slope.
Answer:
a) Equation of the tangent of the parabola
12 x - y -16=0
b)
slope of the tangent at x=2.1
[tex](\frac{dy}{dx}) = 3(2.1)^{2} = 13.23[/tex]
slope of the tangent at x=2.01
[tex](\frac{dy}{dx}) = 3(2.01)^{2} = 12.1203[/tex]
Step-by-step explanation:
Step(i):-
Given parabola y = x³ ....(i)
Differentiating equation (i) with respective to 'x'
[tex]\frac{dy}{dx} = 3x^{2}[/tex]
slope of the tangent
[tex](\frac{dy}{dx})_{(2,8)} = 3x^{2} = 3(2)^{2} =12[/tex]
Step(ii):-
Equation of the tangent of the parabola
[tex]y-y_{1} = m (x-x_{1} )[/tex]
y-8 = 12 (x -2)
12 x - 24 -y +8 =0
12 x - y -16=0
b)
slope of the tangent at x=2.1
[tex](\frac{dy}{dx}) = 3(2.1)^{2} = 13.23[/tex]
slope of the tangent at x=2.01
[tex](\frac{dy}{dx}) = 3(2.01)^{2} = 12.1203[/tex]
Subtract:
30−2.11
8.80
27.89
27.99
32.11
Answer:
27.89
Step-by-step explanation:
It is 27.89 because if you subtract 2 from 30 you get 28 and 28- 0.11 is 27.89
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position. Explain your answer
Answer:
+9-22=-13
Step-by-step explanation:
Its 13 yrds lost
The graph below shows the eye color for a classroom of students.
Answer:
it is Greater than because blue and green combined equal to 12
What combination of transformations is shown below?
A) translation, then rotation
B) translation, then reflection
C) rotation, then reflection
D) rotation, then translation
Explanation:
Going from figure (1) to figure (2) has us rotate 90 degrees counterclockwise. Note the smallest side of the green figure how it is horizontal, and it corresponds to the smallest side of the blue figure and it is vertical. The center of rotation is the top right corner of the green figure.
Then we apply a translation to go from figure (2) to figure (3). This is another way of saying we shifted the figure some distance left/right and up/down. In this case, we shifted 1 unit to the right and 4 units down.
On a field trip, the school bus drove five more than twice as many miles in the afternoon as in the morning. If the whole trip was 125 miles, how many miles did the bus travel in the morning and how many in the afternoon?
Answer:
morning - 40
afternoon - 85
Step-by-step explanation:
The bus traveled 40 miles in the morning and 85 miles in the afternoon.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The school bus traveled five miles more on a field trip in the afternoon than it did in the morning. If the journey was 125 kilometers long
Let x the distance traveled by bus in the morning.
As per the given condition, we can get the equation shown below:
⇒ x + 2x + 5 = 125
⇒ 3x + 5 = 125
⇒ 3x = 120
⇒ x = 40
In the afternoon, the bus traveled 2x + 5 miles.
Now substitute the value of x in the equation for the afternoon miles to include:
⇒ 2 × 40 +5 = 85
Therefore, the bus traveled 40 miles in the morning and 85 miles in the afternoon.
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The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2+ 3). If area = length × width, what is the length of the rectangle? x + 5 x – 15 x + 15 x – 5
Answer:
x - 5
Step-by-step explanation:
x^3 -5x^2 +3x -15 = x^2 +3 times length
therefore:
(x^3 -5x^2+3x -15)/(x^2 +3) = length
= x - 5
If have 492.08 how much do you have to save up to get 754 I need this asapppp
PLSSSS HELLLPPP WILL GIVE BRAINLIESTTT!!!!!!!!!
Answer:
-2
Step-by-step explanation:
between each point on the graph, the line goes down two and over one. 2/1 = 2. the slope is negative because it goes downwards
Answer:
slope could be -2/1. or -2
Step-by-step explanation:
if you do rise and run/ look at the change
rise: 2_____change in y:-2
run: 1______change in x:1
HOPE THIS HELPS!
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (-4,13) endpoint-(0,5)
Answer:
end point of a segment X₂ = - 8 ; Y₂ = 21
Step-by-step explanation:
given;
midpoint = ( Mx = -4 , My = 13 )
endpoint ₁ = ( X₁ = 0 , Y₁ = 5 )
find the other endpoint ₂ ( X₂ , Y₂)
use the mid point formula to get the other endpoint:
Mx = ( X₁ + X₂ ) / 2 My = ( Y₁ + Y₂ ) / 2
- 4 = (0 + X₂) / 2 13 = (5 + Y₂) / 2
-8 = 0 + X₂ 26 = 5 + Y₂
X₂ = -8 Y₂ = 21
Anne creates necklaces and rings to sell. It takes her 3 hours to make a necklace and 1 hour to make a ring. If she makes 10 items in 2 standard 8-hour work days, how many necklaces and rings did Anne make during those 16 hours?
Maddie ordered a square print of a photo that has an area of 9 square inches. What is the perimeter of the print?
Answer:
12 inches
Step-by-step explanation:
area of square is given by side ^2 = side * side
given
area of square print = 9 sq. inches
side ^2 = 9 sq. inches
[tex]\sqrt{side ^2} = \sqrt{9} \ sq. \ inches\\side = 3 \ inches[/tex]
Thus, side length of print is 3 inches.
Perimeter of square is given by 4*side
Perimeter of print is = 4*side = 4*3 inches = 12 inches answer
find 5 rational numbers between 1/3 & 2/5
Answer:
41/120, 7/20, 43/120, 11/30, 3/8
Step-by-step explanation:
Write the numbers.
1/3 & 2/5
We need a common denominator, but not the least common denominator. Both 3 and 5 are factors of 60, so let's use 60 as the common denominator.
Multiply 1/3 by 20/20:
1/3 = 20/60
Multiply 2/5 by 12/12:
2/5 = 24/60
Let's multiply each fraction again, but this time by 2/2.
1/3 = 40/120
2/5 = 48/120
Now it's easy to find 5 numbers between 40 and 48, so we get:
41/120, 42/120, 43/120, 44/120, 45/120
Some of these fractions can be reduced, so our answer is:
41/120, 7/20, 43/120, 11/30, 3/8