A mean is an arithmetic average of a set of observations. The increase in the mean for the second week compared to the first is 0.4.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]
Given the spending in the first week is $12.99, $10.50, $9.89, $6.90, and $7.58, therefore, the mean will be,
[tex]\rm (Mean)_1 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 }{5} = \$9.57[/tex]
Also, the spending in the second week is $2 more than the total of the first week, therefore, the mean will be
[tex]\rm (Mean)_2 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 + \$2}{5} = \$9.97[/tex]
Hence, the increase in the mean for the second week compared to the first is 0.4.
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Find the remainder when f(x) = 5x² + 4x² - 2x + 4 is divided by x + 1.
Answer:
I hope this helps you........
Find the slope of the line passing through the points (-2, 7) and (-7, 3)
Answer:
m = 4/5 or m = 0.8
Step-by-step explanation:
hope it helps
a trapezoid has a perimeter of 14ft what will the perimeter be if each side length id increased by a factor of 7
Answer:
42
Step-by-step explanation:
Trapezoid has 4 lines
If each side increase by 7, 4 lines totally increase by 7*4 = 28
Perimeter will be 14 + 28 = 42
The first three terms of a geometric sequence are as follows 80, 40, 20 what are the next 2 terms of the sequence
80 40 20 10 5
Step-by-step explanation: Divide 20 by 40 then 40 by 80 They all are divisible by .5so then times .5 to get the next terms
650 times what decimal gives me 3185?
Answer:
The decimal is 4.9
-0.5 = - m/6=
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[tex]\diamond\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
-0.5=-m/6. what is m?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
❖ First, multiply both sides by 6 to get rid of the fraction:-
▪︎ -0.5*6=-m/6*6
On the RHS, the 6's cancel:-
◆-0.5•6=-m
Multiply:-➪ [tex]\it{-3=-m}[/tex]
Divide by -1 on both sides:-➪ [tex]\it{3=m}[/tex]
❒So we conclude that the value of m is 3.
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Answer:
m = 3
Step-by-step explanation:
⇒ -0.5 = - m/6
Divide both sides by -1.
⇒ -0.5/-1 = -m/(6 × -1)
⇒ 0.5 = m/6
Multiply both sides by 6.
⇒ 0.5 × 6 = m/6 × 6
⇒ m = 3
if A (4,5), B (6,8), then vec AB is ...
Answer:
slope= rise/ run= 1.5/1= 1.5
If a slice of pizza is 2 dollars and I have 15 dollars how many pieces of pizza can I get
What is the approximate Volume of the cone below?
Answer:
B - 183 cm3
Step-by-step explanation:
volume of a cone is 1/3 x pi x r^2 x H
Answer:Your answer is going to be D
Step-by-step explanation:
1/3 x 3.14 x 10^2 x 7 =732.66
Find the Surface Area:
A) 200 in^2
B) 300 in^2
C) 500 in^2
D) 400 in^2
Answer: B
Step-by-step explanation:
18) Find the sum of the odd integers between 104 and 60.
Answer:
1,804
Step-by-step explanation:
106 - 60 = 44
44/2 = 22
60 + 22 = 82
82*22 = 1,804
Find the value of x in the parallelogram below.
Answer:
x = 25
y = 6
Step-by-step explanation:
In a parallelogram, opposite angles are equal.
2x and 50 are opposite angles,
2x = 50
Divide 2 on both sides,
x = 50 / 2
x = 25
In a parallelogram opposite sides are equal.
y + 5 and 11 are opposite sides,
y + 5 = 11
y = 11 - 5
y = 6
Answer:
x=25
y=6
Step-by-step explanation:
from the diagram,
2x= 50(opposite angles of a parallelogram)
2x= 50
dividing bothsides by 2
2x/2=50/2
x= 25
then,
y+5=11(opposite sides of a parallelogram)
y= 11-5
y= 6
Find the arc length of an arc with a Central angle of 2π/3 radians and a radius of 6 units
Answer:
Step-by-step explanation:
a. If the swimming pool is 4 feet deep, what is the approximate volume of the swimming pool?
Answer:
64 ft³
Step-by-step explanation:
given that l = 4 ft
Since a swimming pool is like a cube
:- V= l³
V = 4³
V = 64 ft³
which graph represent the liner function y= -5x + 2?
A
B
C
D
Answer:
A
Step-by-step explanation:
if you say x=0 than y=2
if you say y=0 then x=2/5
you observe those values in the first graph
Find the remainder of (h4+ h² - 2) /(h+3).
Answer:
remainder is 88
Step-by-step explanation:
if
[tex]h = 3[/tex]
[tex]f( - 3) = { ( - 3)}^{4} + { (- 3)}^{2} - 2[/tex]
[tex]f( - 3) = 88[/tex]
which is the remainder
A square has an area of 81 square inches. What is its perimeter?
Area of square = [tex]s^2[/tex] where, [tex]s[/tex] is the side length of the square.
[tex]81=s^2[/tex]
[tex]9=s[/tex]
s must be positive since it is a side length, so the negative root of 81 is rejected.
Perimeter= [tex]4s[/tex]
Perimeter= [tex]4(9)=36inches[/tex]
Step-by-step explanation:
In order to find the perimeter we need to find the length first ...
...Here, the area is already given ...
Area = 81 inches square
length = ?
Now....
( The formula of area is l × l )
[tex]area = {l}^{2} [/tex]
[tex]81 = {l}^{2} [/tex]
Now we should find square root of 81...
[tex]l = \sqrt{81} [/tex]
[tex]l \: = 9[/tex]
Now we find length so it's easy for us to find perimeter...
The formula of perimeter of square is 4l ..
= 4l
= 4 × 9
= 36 inches
hence the answer is 36 inches....
I need help finding the slope and what m =
Answer:
4/3
Step-by-step explanation:
slope = rise/run = (y1-y2)/(x1-x2) = 4 / 3
Double tap to add title • AC is the diameter of the circle. Angle AWB is 120 degrees. How big is arc BC? A 1200 B w c D 85
Answer:
Step-by-step explanation:
What is 8,-6 over the x-axis 90 degrees
Answer:
(6,8)
Step-by-step explanation:
The rule for 90 degree rotation is (x,y)=(-y,x)
So the answer is (6,8)
What is the measure of each angle of a regular 13-gon if necessary round to the nearest tenth
[tex]\textit{sum of all interior angles in a regular polygon}\\\\ \theta n=180(n-2) ~~ \begin{cases} \theta =\stackrel{degrees}{angle}\\ n=\stackrel{side's}{number}\\[-0.5em] \hrulefill\\ n=13 \end{cases}\implies \theta (13)=180(13-2) \\\\\\ 13\theta =180(11)\implies 13\theta =1980\implies \theta =\cfrac{1980}{13}\implies \theta \approx 152.3^o[/tex]
What is the volume (in cubic units) of a cylinder with a radius of 5 units and a height of 8 units? Assume that π = 3.14 and round your answer to the nearest tenth when necessary.
Answer:
V = hpir^2 = 12(3.14)(3)^2 = 108(3.14) = 339.1
Step-by-step explanation:
Interest is compounded semianually. Find the amount in the account after the given time.
Answer:
$1,159.69
Step-by-step explanation:
Compound Interest Formula :
A = P (1 + r/n)^(nt)A = amount P = principalr = rate (in decimals)n = number of times compoundedt = number of yearsSolving :
A = (1,000)(1 + 0.05/2)²⁽³⁾A = (1,000)(1.025)⁶A = (1,000)(1.15969342)A = $1,159.69Which statement is true
Answer:
the answer is only 5
Step-by-step explanation:
Sin(15) × cos(15) × cos(30)
Answer:
0.2165 to the nearest ten thousandth.
Step-by-step explanation:
Sin(15) × cos(15) × cos(30)
= 0.258819 * 0.965926 * 0.866025
= 0.216506
Multiply using an area model: (3x+2)(2x-4)
Which expressions are equivalent to the given expression?
√80
80²
☐ 4√10
160²
8√5
4√5
Answer:
4 root 5
Step-by-step explanation:
√80 = √ 16 X √5
√16 = 4
so 4√5
I NEED HELP!!!!
[tex]3(7+7i)+i(7+7i)[/tex]
Thanks!:)
Solve the equation:-
[tex]3(7 + 7i) + i(7 + 7i) \\take \: common \: (7 + 7i) \: out\\ (7 + 7i) (3 + i) \: is \: your \: answer [/tex]
Open the equation:-
[tex]3(7 + 7i) + i(7 + 7i) \\ 21 + 21i + 7i + 7 {i}^{2} \\ 7 {i}^{2} + 28i + 21 \: \: answer[/tex]
solve the equation by completing the square. x²+6x-4=0
Answer:
x = √13 - 3
x = -√13 - 3
Step-by-step explanation:
Given :
x² + 6x - 4 = 0Solving :
x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9](x + 3)² - 13 = 0 [Group the square term together](x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides]√(x + 3)² = √13 [Taking square root on both sides]x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides]x = ±√13 - 3Solutions :
x = √13 - 3x = -√13 - 3100 POINTS SOMEONE PLEASE HELP
A fireman needs to get water to a second-floor fire. His ladder is 33 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 50°. Will the ladder be safe the way it is positioned? Explain.
Answer:
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned.
Answer:
(a) 64°
(b) Yes, it is safe
Step-by-step explanation:
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.
We solve the above question using the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse sides
θ = Angle formed with the ground = ?
Opposite side = 27 ft
Hypotenuse side = 30 ft
Hence,
sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9
θ = arc sin (0.9)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?
From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
Hence:
64° < 70°
Therefore, the ladder will be safe the way it is positioned