The measures of center of the students score are:
Mean = 22
Median = 21
Mode = 21
What are Measures of Center?Measures of center of a data distribution are the mean, median, and mode.
Given the data, 21, 25, 17, 23, 25, 21, 27, 21, 18:
Mean = sum of all data values / number of data values = 198/9 = 22
Median = the middle value in the ordered data set = 21
Mode = the most appeared data value = 21 (appeared 3 times)
Learn more about the measures of center on:
https://brainly.com/question/1378589
If a=2, b= -1 and c=1, then find the value of:
A- a+b-c²
B- a³-b+c
C- a-b-c
Answer:
Step-by-step explanation:
A. 2 + -1 - 1^2 = 1 - 1 = 0
B. 2^3 - -1 + 1 = 8 + 1 + 1 = 10.
C. 2 - -1 - 1 = 2 + 1 - 1 = 2.
=2+(-1-1)^2
=1-1
=0
B- a³-b+c2^3-(-1+1)
=8+1+1
= 10
C- a-b-c2-(-1-1)
=2+1-1
=2
what is (1/4)^2x+3=2^5x+4
find the value of x?
Answer:
[tex] x = - \frac{10}{9} [/tex]
Gabby has a goal to finish covering the field before 12 hours have
elapsed. She will use any remaining time to water the field. After 1 hour
has elapsed, she has covered 4,000 square yards of the field.
Explain why Gabby will be able to meet her goal by working at this rate. As
part of the explanation, determine the amount of time, in hours, Gabby
will have to water the field.
The Speed of the machine boat is 150 km per hour. How far does the machine boat go in five and a half hours?
Answer:
825km
Step-by-step explanation:
150km/h= distance/11/2 hours
150km/h divide by 11/2 hours
=825km
Answer:
825km
Step-by-step explanation:
We have the rule: speed=distance/time
in this question you are asked to calculate the distance covered by the machine boat.
so we deduce from the above rule: distance=speed*time
Given: speed=150km/hr time=5.5hr distance=??
Solution: distance=150x5.5 = 825km
Part II: Analysis
5) How many seconds does the roller coaster last?
6) What is the roller coaster's starting height? How many seconds does it take the
roller coaster to reach maximum height?
7) Describe what the roller coaster is doing in the interval 7
8) Use your knowledge of function notation and piecewise functions to determine the
following:
a. f(10) =
i. Explain what this value means in real world context.
b. f(20) =
1. Explain what this value means in real world context.
c. If 16 seconds have passed since the roller coaster started, what is the height
of the roller coaster?
Bonus: When does the roller coaster reach 100 feet above the ground?
10 divided 20,then times mo 7 to 8
what is the volume of this shape?
Answer:
480 [tex]cm^2[/tex]
Step-by-step explanation:
8 x 6 x 10
Length x Width x Height.
Graphing f(x)=(x+2)^2-3 in vertex form
Answer:
Step-by-step explanation:
This is a parabola shaped like a U.
The minimum value is at (-2, -3).
Find the zeroes:
(x + 2)^2 = 3
Find the zeroes:
x + 2 = +/- √3
x = +/-√3 - 2
x = -0.27, -3.73.
So the graph cuts the x axis at (-0.27, 0) and (-3.73, 0)
when x = -4 , f(x) = 1 and when x = 1, f(x) = 6.
So you can now draw the curve through these 5 points and it will be shaped like a U, symetrical about the line x = -2
I need help with this
Answer:
75%
Step-by-step explanation:
It's over 50% and it's definitely not 100%
25. The sales tax rates 7.25
Part A How much taxis added on an item that costs $56.007
Part B $36.25 in taxis added to the price of an item, what was the original price of the item? pie y pie
Answer:
A:60.14
B:3,379.95
Step-by-step explanation:
I assume that .007 is supposed to be .07
56.07*1.0725=60.14
B.
36.25 is 1.0725 of ...
3,379.95
36.25 * 0.010725
Match each word to its definition
All i know is that 1 is the fourth option and 3 is the last option. I would assume 2 is the first option, 4 is the second option, 5 is the fifth option, and 6 is the third option, but be sure to check yourself. I hope this helps!
The volume of a cylinder is 256pi in3. and the height of the cylinder is 1 in. What is the radius of the cylinder?
Answer:
9.03
Step-by-step explanation:
the formula is V=pir2h
(pi, radius squared, and height)
In quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60degrees less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.
Answer: 35, 35, 70, and 220
Step-by-step explanation:
– Let x = size of one of the two equal angles
The sum of angles in a quadrilateral is 360:
360 = x+ x + ( x+x ) x (2( x+ x+ x+x ) – 60)
360 = 4 + 2(4 ) – 60
360 = 4 + 8 – 60
360 = 12 – 60
12x = 420
= 35
Substituting x for 35, will get: 35, 35, 70, 220
The values of the angles are 35°, 35°, 70° and 220°
Which equation can be used to find the nth term of the sequence, an? 5, 20, 80, 320, 1280, ...
an=4⋅5n−1
an=1.25⋅4n−1
an=5⋅4n−1
an=4⋅1.25n−1
Answer:
C.) 5 * 4^n-1
Step-by-step explanation:
Use the given method you use for finding the sequence with the terms.
Also K12 moment.
If it's wrong, please forgive me, I'm in the middle of the test as well.
I checked and I'm 99% sure this is the answer
Hope this helped despite being a little late!
HELP PLEASE!!!! <3
Algebraically find the slope and the y-intercept of 3y - 8 = 2x.
thank you!!
Answer:
slope = 2/3 y intercept = 8/3
Step-by-step explanation:
re-arrange to slope intercept form y = mx + b
3y = 2x + 8
y = 2/3 x + 8 / 3
Answer:
[tex]Slope=\frac{2}{3}[/tex]
[tex]Y-Intercept=\frac{8}{3}[/tex]
Hope This Helps! :)
what is. the solution to this equation: 6r=33
Answer:
5.5
Step-by-step explanation:
6 x 5.5 = 33
The solution for r is 5.5
Answer:
r = 5.5
Step-by-step explanation:
6r=33
1. divide both sides by 6
6/6=1
33/6= 5.5
2. r=5.5
awarding 4 out of 50 minions a place in a dancing
competition.
solve:
The combination shows that the number of ways to select 4 out of the 50 minions will be 230300.
How to solve the combination?From the information given, it can be noted that this involves a combination rather than permutation.
In this case, the number of ways to select 4 out of the 50 minions will be:
= 50! / (50-4)!4!
= 230300
Learn more about combinations on:
https://brainly.com/question/1216161
What is the surface area of the rectangular prism shown below?
A. 348 in2
B. 174 in2
C. 432 in2
D. 336 in2
The surface area of a rectangular prism with sides 9 inches, 8 inches and 6 inches is 348 inches²
Surface area of a rectangular prismsurface area = 2(lw + lh + wh)
where
l = lengthw = widthh = heightTherefore,
l = 8 inches
w = 6 inches
h = 9 inches
surface area = 2((8 × 6) + (8 × 9) + (6 × 9))
surface area = 2((48) + (72) + (54))
surface area = 2 (174)
surface area = 348 inches²
learn more on surface area here:https://brainly.com/question/3008257
Answer:
its 348, give other person branliest
Step-by-step explanation:
A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?
The constant rate = 20 ft / 5 seconds = 4 feet per second
Find the chart that shows an increase of 4 feet for every second the balloon travels.
The height of the balloon over time is modeled by the linear equation y = 4x, so, the accurate choice is option D.
What are linear equations?A linear equation arises when multiple variables are connected, resulting in a linear model when graphed. This model is characterized by having a degree of one for each variable involved.
Imagine a hot air balloon taking off from the ground, ascending at a consistent speed. After 5 seconds, its altitude reaches 20 feet. The balloon maintains this rate of ascent.
The rate per second is calculated as follows:
m = 20/ 5
m = 4 ft/sec
Consequently, the equation is formulated as:
y = 4x
For x = 10 seconds, the corresponding y value will be:
y = 4 × 10
y = 40 ft
Similarly, for
x = 20 seconds:
y = 4 × 20
y = 80 ft
Hence, the linear equation representing the balloon's height over time is
y = 4x. The accurate option among the choices is D.
Find out more on linear equation here: https://brainly.com/question/2030026
#SPJ3
what is 3x-1/5=10 equal
Answer:
x = 17
Step-by-step explanation:
3x - 1 / 5 = 10
3x - 1 = 5 * 10
3x = 50 + 1
x = 51/ 3
x = 17
Help me with this please
Answer:
B
Step-by-step explanation:
its b bc its inclusive and rhe others font make much sense
$9,000 is invested in a stock that loses 3%/yr on average. What is its worth after 6 years? Value:
Can someone explain this step by step? I'm very confused on how to solve it. Thanks!
Answer:
x = -8
Step-by-step explanation:
I will show each step algebraically. If you need further explanation, feel free to ask questions :)
[tex]\frac{x}{2} +7=3\\[/tex] Rewrite
[tex]\frac{x}{2} =-4[/tex] Subtract 7
[tex]x =-8[/tex] Multiply by reciprocal (2/1)
I hope this helps!
Answer:
X = -8
Step-by-step explanation:
So we will start with subtracting 7 from 3, which is -4.
So now you have x/2 = -4
Now we have to find what divided by 2 equals -4 so, we do 2 x -4, which is -8.
This is how we get our answer, x = -8
Expand & simplify
5
(
p
+
5
)
+
6
(
p
+
6
)
5(p+5) + 6(p+6)
First step: Distribute (PEMDAS --> Parenthesis)
5p + 25 + 6p + 36 Now, combine like terms
11p + 61
Thus, the answer is 11p + 61
[tex]5(p+5)+6(p+6)\\\\=5p+25+6p+36\\\\=11p+61[/tex]
Are the ratios 2:4 and 3:6 equivalent?
Answer:
2:4 3:6 and 8:2, and 4:1 are equivalent pairs of ratios.
2 : 4 and 3 : 6 are an equivalent pair of ratios.
( to find equivalent ratios just multiply or divide both quantities by the same number. )
this is from gradpoint, please help me y’all :((
Answer if im not misstaken its no
Step-by-step explanation:
because ur working with fractions they dont = the same thing. lmk if im wrong
Answer:
No, these functions fail to be inverses of each other.
Step-by-step explanation:
We have two functions :
f(x) = 3x + 2g(x) = [tex]\frac{x-2}{3}[/tex]Let's take the function f(x) and take x = 1.
f(1) = 3(1) + 2f(1) = 5 [Keep this in mind]If f(1) is 5, then if g(x) is an inverse function, g(1) should be [tex]\frac{1}{5}[/tex]Let's try the same with g(x).
g(1) = [tex]\frac{1-2}{3}[/tex]g(1) = [tex]-\frac{1}{3}[/tex]Clearly, they are not inverse functions of each other.
Help me. The questions are attached
Step-by-step explanation:
16.
x = Xien's age
2 + x/2 = 11
x/2 = 9
x = 18
so, Xien is 18 years old.
17.
4x - 5 = 7
first dividing everything by 4 is not a mistake. I would have done it as second step simply to avoid dealing with the fractions. but it works either way.
so, his way :
4x/4 - 5/4 = 7/4
4x/4 = 12/4
x = 3
my way
4x - 5 = 7
4x = 12
x = 3
The selling price of the Robertsons family house dropped from $500,000 to $250,000. What was the percent decrease in the value of their home?
( please solve, NOT in proportion please!! )
Answer:
50%
Step-by-step explanation:
You can literally do it mentally lol
$500,000
- $250,000
$250,000
so by common sense, it's 50%
Hope it helped!
Answer:
50%
Step-by-step explanation:
50% of the value of the house dropped.
So 50% of 500,000.
50 percent *500000 =( 50:100)*500000 =( 50*500000):100 =25000000:100 = 250000Find the center and radius of the circle represented by the equation below.
(x + 5)² + (y – 5)² = 225
1
Center:
Radius:
Answer: the center is (-5, 5) and the radius is 15
Step-by-step explanation:
the standard form of a circle is
(x-h)^2 + (y-k)^2 = r ^2 where h is the x coordinate and k is the y coordinate of the center of the circle
(h,k) = the center of the circle
r = radius
therefore,
(x+5)^2 + (y-5)^2 = 225 means that x has to be -5 since subtracting a negative creates a positive and y must be 5 as it is negative in the equation
think of it as making the sum/difference 0 within the parentheses:
(x+5) -5+5 = 0 so x=-5
(y-5) 5-5 = 0 so y =5
so the center of the circle is (-5,5)
the radius is simply 225 square rooted which is 15
hope this helps :)
Express the following ratio: 20 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches
Answer:
5 inches : 6 inches
Step-by-step explanation:
20 inches : 2 feet
Use Hint: 1 feet = 12 inches
20 inches : 2·12 = 24 inches
Find the simplest form of 20 inches : 24 inches
20 inches : 24 inches , divide both numbers by 2
10 inches : 12 inches, divide both numbers by 2 again
5 inches : 6 inches
[30 PTS!!] Using mathematically precise language, explain in detail how you would multiply the complex number [tex]z_1=r_1(cos[/tex]θ[tex]_1+i sin[/tex]θ[tex]_1)[/tex] with the complex number [tex]z_2=r_2(cos[/tex]θ[tex]_2+isin[/tex]θ[tex]_2)[/tex].
Multiplying z₁ and z₂ involves calculating their products
The product of z₁ and z₂ is r₁r₂(cos(Θ₁ + Θ₂) + isin(Θ₁ + Θ₂))
How to multiply the complex numbers?The numbers are given as:
z₁ = r₁(cosΘ₁ + isinΘ₁)
z₂ = r₂(cosΘ₂ + isinΘ₂)
The product is represented as:
z₁ * z₂ = r₁(cosΘ₁ + isinΘ₁) * r₂(cosΘ₂ + isinΘ₂)
This gives
z₁ * z₂ = r₁r₂(cosΘ₁ + isinΘ₁) (cosΘ₂ + isinΘ₂)
Expand
z₁ * z₂ = r₁r₂(cosΘ₁cosΘ₂ + icosΘ₁sinΘ₂+ isinΘ₁cosΘ₂ + i²sinΘ₁sinΘ₂ )
In complex numbers,
i² = -1.
So, we have:
z₁ * z₂ = r₁r₂(cosΘ₁cosΘ₂ + icosΘ₁sinΘ₂+ isinΘ₁cosΘ₂ - sinΘ₁sinΘ₂ )
Rewrite as:
z₁ * z₂ = r₁r₂(cosΘ₁cosΘ₂ - sinΘ₁sinΘ₂ + icosΘ₁sinΘ₂+ isinΘ₁cosΘ₂ )
Apply sine and cosine ratios
z₁ * z₂ = r₁r₂(cos(Θ₁ + Θ₂) + isin(Θ₁ + Θ₂))
Hence, the product of z₁ and z₂ is r₁r₂(cos(Θ₁ + Θ₂) + isin(Θ₁ + Θ₂))
Read more about complex numbers at:
https://brainly.com/question/10662770