Answer:
a
Step-by-step explanation:
Mode refers to a value that appears most frequently in a data set.
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Median is the number that occurs in the middle of a set of observations
Arranging the numbers in ascending order : 55, 66, 82, 89, 90, 92
median = (82 + 89) / 2 = 85.5
There is no mode because the numbers only appear once
Range = 92 - 55 = 37
mean = 476/6 = 79
Graded Assignment
Unit Test, Part 2: Expressions and Problem Solving
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 6 points)
1. Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought last week. Answer the following questions to find the number of pounds of soil Emmanuel purchased last week.
(a) What is the unknown information?
(b) Let p represent the unknown information. Write an equation to model the problem.
(c) Which number, 10, 11, or 12, will solve the equation in Part (b)? Show your work.
(d) How many pounds of potting soil did Emmanuel buy last week?
Answer:
plz help me I beg you
Answer:
1.) Amount of potting soil purchased last week.
2) 2p + 4 = 28
3.) 12 lbs
Step-by-step explanation:
1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.
2.)
Let amount of potting soil bought last week = p
Amount bought this week = 2p + 4
Since amount bought this week = 28
Hence, we have ;
28 = 2p + 4
28 - 4 = 2p
24 = 2p
p = 24 / 2
p = 12
If a six-sided die(1-6) and a ten-sided die(1-10) are rolled simultaneously, then what is the probability of rolling both with a number greater than four
Answer:
[tex]Pr = 0.20[/tex]
Step-by-step explanation:
Given
[tex]n_1 = 10[/tex] ---- 10 sided
[tex]n_2 = 6[/tex] --- 6 sided
Required
[tex]P(x_1,x_2 > 4)[/tex]
First, list out the sample space
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)[/tex]
[tex](7, 1) (7, 2) (7, 3) (7, 4) (7, 5) (7, 6) (8, 1) (8, 2) (8, 3) (8, 4) (8, 5) (8, 6)[/tex]
[tex](9, 1) (9, 2) (9, 3) (9, 4) (9, 5) (9, 6) (10, 1) (10, 2) (10, 3) (10, 4) (10, 5) (10, 6)\}[/tex]
[tex]n(S) = 60[/tex] --- total outcomes
The event that the outcome of both is greater than 4 is:
[tex]x_1,x_2> 4 = \{(5, 5) (5, 6)(6, 5) (6, 6)(7, 5) (7, 6) (8, 5) (8, 6)(9, 5) (9, 6) (10, 5) (10, 6)\}[/tex]
[tex]n(x_1,x_2>4) = 12[/tex]
So, the probability is:
[tex]Pr = \frac{n(x_1,x_2>4)}{n(S)}[/tex]
[tex]Pr = \frac{12}{60}[/tex]
[tex]Pr = 0.20[/tex]
A.) A family spends an average of $3000 on a local vacation, how much money was spent on gas? Gas 4%
divide 3000 by 100. multiply. that by your percentage (4%)
3000 ÷ 100 = 30. 30 x 4 = 120$
find the equation of the line below (1,-2) (2,-4) *20 brainliest points* *pls help*
Answer:
y= -2x
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -4- -2)/(2-1)
= ( -4+2)/( 2-1)
-2/1
-2
Using y = mx+b where m is the slope and b is the y intercept
y = -2x+b
Substitute a point into the equation
-2 = -2(1)+b
-2 = -2+b
b=0
y= -2x
Can i have some help please best answer gets brainiest!
Answer:
a=35
Step-by-step explanation:
5x35=175, and 175 divided by 7 is 25 :)
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: a = 35}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: \frac{5a}{7} = 25[/tex]
➺[tex] \: 5a \: = 25 \times 7[/tex]
➺[tex] \: 5a = 175[/tex]
➺[tex] \: a = \frac{175}{5} [/tex]
➺[tex] \: a = 35[/tex]
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex] \: \frac{5a}{7} = 25[/tex]
➺[tex] \: \frac{5 \times 35}{7} = 25[/tex]
➺[tex] \: \frac{175}{7} = 25[/tex]
➺[tex] \: 25 = 25[/tex]
➺[tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
find the missing number in the factor tree
for 20 points
i hope you will help
Answer:
see below
Step-by-step explanation:
80 = 4* 20
2*2 2 * 10
2 *5
We are breaking the numbers into primes
2*2*2*2*5
A spherical ball has a radius of 12 cm. The cost to cover the sphere is $0.05/cm^2. The total cost to cover the ball is:
Do not include units in your answer; if necessary use the pi button on your calculator or pi= 3.1416)
Answer:
Step-by-step explanation:
surface area of sphere=4πr²=4π×12²=576π
≈576×3.1416
≈1809.5616 cm²
cost to cover=1809.5616×0.05=$90.47808≈$90.48
Your Algebra 2 class has 20 students. 4 students are to be chosen at random for a project.
A. How many groups of four are possible?
B. You are in the Algebra 2 class with 3 other friends. What is the probability that the four of you are chosen?
Answer:
A. 5 groups
Step-by-step explanation:
You would use multiplication for this. just think what does 4 × _ = 20? well 5! since four times give is twenty.
Answer:
4845
.020639% (or 1/4845)
Step-by-step explanation:
For the first one we have to use combinations (because the order doesn't matter)
The formula is as follows:
for ACB
[tex]\frac{A!}{(A-B)!*B!}\\\\\frac{20!}{(20-4)!*4!}=4845[/tex]
2.
for probabilty the odds of an outcome is just: number of times the requirement is satisfied/total number of possibliites
we know that there are 4845 possbile groups and only one in which we get all of our friends so it's just
1/4845= .020639%
Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris' age is 66. How old is Beatrice?
Answer:
9
Step-by-step explanation:
A = B + 2
C = B - 3
A x C = 66
A = Andrew
C = Chris
B = Beatrice
Multiply A and c together
(B + 2) x (b - 3)
b^2 - 3b + 2b - 6
b^2 -b - 6 = 66
b^2 - b - 72 = 0
factors of -72b^2 that add up to - b are -9b + 8b
b^2 + 8b -9b - 72
b (b + 8) -9(b + 8)
b = 9 or - 8
b = 9
what is the algebraic expression for 11 times a number x, minus a second number y ?
Answer:1
Step-by-step explanation:
twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
Hello! answer: c = 4
Step-by-step explanation:
triangle area formula: base × height ÷ 2 or base × height × 1/2
6 × 4 = 24
24 ÷ 2 = 12 therefore c = 4 Hope that helps!
help,very easy question but i can't understand
Answer:
10
Step-by-step explanation:
10 is the greatest common factor that you can divide into both 40 and 50.
Answer:
10
Step-by-step explanation:
Try and find the prime factorization of 40 and 50.
40=2*2*2*5
50=2*5*5
Multiply the prime factors that are common to both numbers.
2*5=10
One of two complementary angles is 35° larger than the other. What is the measure of both angles?
Answer:
Since the two angles are complementary, they add up to 90...
If we call the first one x, then the other must be 90-x...
Since they are 35 different, we write
x = (90 - x) + 35
now solve, and get
x = 90 - x + 35
x = -x + 125
2x = 125
x = 62.5 deg
the other must be
90 - 62.5 = 27.5 deg
José flips a coin two times. If H is heads and T is tails, what is the sample space for this compound event?
A.
H-H, H-T, T-H
B.
H-H, H-T, T-T, T-H
C.
H-T, T-H
D.
H-H, T-H, T-T
Answer:
I think it is D. because it is theoretical
Write the coordinates of the point 2 units up of the point (-5,7)
Answer:
(-5,9)
Step-by-step explanation:
7 + 2 is 9 so yeah that's it
Which relation is also a function?
A. {(0, 3), (1, 2), (1, 4), (2, 1)}
B. {(-1, 3), (0, 2), (3, -1), (3, 2)}
C. {(2, -4), (2, -2), (2, 1), (2, 3)}
D. {(-4, -3), (0, -3), (1, -3), (4, -3)}
According to Home Water Works, the average American shower uses 17.2 gallons and lasts about 8.2 minutes. To the nearest tenth of a gallon, how many gallons will Louise use when taking a 15-minute shower? Answer in complete sentences.
ALL GIVE BRAINLY!!!
Answer:
Home Water Works says that in most homes, showers are the third-largest user of water after toilets and clothes washers. The average American shower water usage is 17.2 gallons with the average shower length being 8.2 minutes. The average flow rate is 2.1 gallons per minute.
Answer:
90.2 gallons
Step-by-step explanation:
This is because if we take 8.8 * 8.2=72.16
then we do 72.16*5 =360.8
360.8 / 4 = 90.2 gallons.
Give brainlest and have a great day
What is the order of the surd 5?
Answer:
5
Step-by-step explanation:
the order of the surd is 5
Answer:
Step-by-step explanation: The order of a surd indicates the index of root to be extracted. In a√n, n is called the order of the surd and a is called the radicand. For example, The order of the surd 5√z is 5.
Step-by-step explanation:
I'LL MARK BRAINLIEST FOR CORRECT ANSWER !!!
Which is an expression equivalent to 4 + 2 (b + 3)
A. 10 + 2b
B. 6b + 3,
C. 6b + 6
D. 12b
4+2(b+3) =
(distributive property)
4+2b+6 =
10+2b
Answer = A
A square that has a side measurement of 7 inches has an area of: *
14 inches
49 inches
49 square inches
7 square inches
Answer:
49 square inches
Step-by-step explanation:
area of a square = l * l
a = 7 * 7
a = 49 square inches
Look at the diagram
QR is tanget to circle P at point Q
TR imtersects circle P at points T and S
What is the value of x?
Answer:
24
Step-by-step explanation:
18×(18+14) = x × (x + 0)
"+ 0" because it is a tangent at that point, there is no more line left going through the circle.
576 = x²
x = 24
I NEED HELP BEFORE 3pm PLEASE HELP!!!
Answer:
yes it is.
Step-by-step explanation:
Can someone help with this please??
Answer:
Hannah has 56
Step-by-step explanation:
Hannah receives 7 for every 3rd Zoe gets. Take Zoe's amount, divide it by three, and you get 8. 8*7 is 56.
Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one-time $20 membership fee and $4 per video stream.
Let the variable s represent the amount of videos streamed and let the variable c represent the cost.
For how many video streams will the cost be the same for both companies?
Which system of equations can be used to solve this problem?
{c=42sc=24s
{c=40s+2c=20s+4
{c=40−2sc=20−4s
{c=40+2sc=20+4s
Answer:
d.
Step-by-step explanation:
C=40+2s, c=20+4s
I will give u brainliest and 5 star and thanks if its correct
Answer:
1. the side length of the square is 3 when its perimeter is 12.
2. (20/21, 5/21)
Step-by-step explanation:
2. 20/21 ÷ 4 = 20/21 × 1/4 = 5/21(the side length of the square with the given perimeter of 20/21)
=> (20/21, 5/21)
Aubrey filled her pool 0.9 of the way with water. Water evaporated from the pool at a rate of 7.5ft ^ 3 per day.
Answer: hello your question lacks vital data hence I will provide you with a general equation within the scope of your question
answer :
General equation = ( Stiver and Mackay or EPA ) evaporation equations
E = [tex]\frac{PAW}{T +459.67}[/tex] or E = [tex]\frac{7.4PA(0.447W)^{0.8} }{T + 459.67}[/tex]
Step-by-step explanation:
Given data
volume of water in pool = 0.9 i.e. 90% full
rate of evaporation = 7.5ft^3 per day = 56.1039 gallons / day
Assumption :
Volume of pool = 16,000 gallons
In order to resolve the missing part of the problem apply the equation below
E = [tex]\frac{PAW}{T +459.67}[/tex] or E = [tex]\frac{7.4PA(0.447W)^{0.8} }{T + 459.67}[/tex]
where : E = Evaporation rate , P = water's vapor pressure , A = pool surface Area , W = wind speed , T = Temperature in Fahrenheit
A bean plant grows at a constant rate for month. After 10 days, the plant is
25 centimeters tall. After 20 days, the plant is 45 centimeters tall.
Which equation models the height of the plant, y, after x days?
Answer:
D or y-25=2(x-10)
Step-by-step explanation:
If you graph all or the answers the only one that hits both points is D.
what is the meaning of proportional sides.? plz need urgently
In a pair of similar triangles, the corresponding sides are proportional. ... When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number. In the diagram of similar triangles the corresponding sides are the same color.
( if this is wrong I apologize)
PLEASE HELPP!! Which points lie in the second quadrant? Check all that apply.
A.Point G
B. Point B
C. Point H
D. Point D
E. Point E
F. Point F
Answer:
Point B and point G
Step-by-step explanation:
the second quadrant is above the x axis and left to y axis
Answer:
point B AND G
Step-by-step explanation:
THAT IS THE CORRECT ANSWER ABOVE
the second quadrant is located at the top left of the XY plane
Which greatest digit should replace n so that the number 342n84 is divisible by 3?
Answer:
9
Step-by-step explanation:
If you want the number to be divisible by three make sure the sum of all the numbers are divisible by three. Add all the numbers you have to see what they make.
3+4+2+8+4=21
So we just need to find the greatest number we can add to that to have it remain divisible by three. A number divisible by three is 30, and we can add 9 to 21 to make 30. Of course, there are other numbers we could add, but nine is the largest one-digit number that would work. Other smaller numbers include 3 and 6.
3+4+2+8+4+9=30
Now we check to see if our number is divisible by three
342984÷3 = 114328
114328 is a whole number so we know it's divisible.
