Answer:
Mean score of 90 students = 77.2
Step-by-step explanation:
Mean score of 50 students from school A = 75
Mean score of 40 students from school B = 80
We need to find mean score of the 90 students?
First we will find sum of scores of students from school A
We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]
We have Average = 75, Number of terms = 50, We need to find Sum of terms (scores)
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\75=\frac{Sum\:of\:Terms}{50}\\Sum\:of\:Terms= 75\times 50\\Sum\:of\:Terms=3750[/tex]
So, Sum of scores for School A = 3750
Now, we will find sum of scores of students from school B
We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]
We have Average = 80, Number of terms = 40, We need to find Sum of terms (scores)
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\80=\frac{Sum\:of\:Terms}{40}\\Sum\:of\:Terms= 80\times 40\\Sum\:of\:Terms=3200[/tex]
So, Sum of scores for School B = 3200
Now, We will find mean score of the 90 students?
Mean score of 90 students will be:
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\Average=\frac{3750+3200}{90}\\Average=\frac{6950}{90}\\Average = 77.2[/tex]
So, mean score of 90 students = 77.2
If the ratio of boys to girls is 1:2 and there are 10 girls in your class, how many boys are there?
Answer:
5
Step-by-step explanation:
divide 10 by 2
Answer:
There are 5 boys in the class
How do I find the volume of a prism?
Answer:
470 cm³
Step-by-step explanation:
Decompose the prism into two rectangular prism.
Prism 1 will have the following dimensions and volume:
Length = 10 cm
Height = 8 cm
Width = 9 - 5 = 4 cm
Volume = L × W × H
Volume = 10 × 8 × 4 = 320 cm³
Prism 2:
Length = 10 cm
Height = 3 cm
Width = 5 cm
Volume = 10 × 3 × 5 = 150 cm³
✔️Volume of the entire prism = 320 + 150 = 470 cm³
Translate quadrilateral ABCD 5 units to the right and 6 units down.
What are the coordinates of the vertices of the image?
Please help and give an answer with in depth information. +15 points
Answer:
D. A'(1,-7), B'(2,-1), C'8,-2) and D'(7,-5)
Step-by-step explanation:
Probably too late, but I took the quiz
Answer:
D
Step-by-step explanation:
Keep it simple, but correct :)
Please help me with this one ☝️
Answer:
D
Step-by-step explanation:
add them together
heyyy wanna help mee
Answer: Only j = 2
============================================
Explanation:
Let's solve for j
[tex]\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4[/tex]
In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.
The last step shows that j = 2.4 or j < 2.4
So j is 2.4 or smaller.
Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.
---------------------------
If j = 2, then,
[tex]\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\[/tex]
which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.
Something like j = 8 does not work because
[tex]\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\[/tex]
which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.
Of the list given, j = 2 is the only solution.
______________________________
1.) Solve using j = 12:Plug in 12: [tex]\frac{96}{12}[/tex] ≥ [tex]40[/tex]Divide 96 by 12: [tex]=8[/tex] Compare: [tex]8[/tex] ≥ [tex]40[/tex]
So this is False.
2.) Solve using j = 8:Plug in 8: [tex]\frac{96}{8}[/tex] ≥ [tex]40[/tex]Divide 96 by 8: [tex]=12[/tex] Compare: [tex]12[/tex] ≥ [tex]40[/tex]
So this is False.
3.) Solve using j = 2:Plug in 2: [tex]\frac{96}{2}[/tex] ≥ [tex]40[/tex] Divide 96 by 2: [tex]=48[/tex]Compare: [tex]48[/tex] ≥ [tex]40[/tex]So this is True.
4.) Solve using j = 3:Plug in 3: [tex]\frac{96}{3}[/tex] ≥ [tex]40[/tex]Divide 96 by 3: [tex]=32[/tex] Compare: [tex]32[/tex] ≥ [tex]40[/tex]So this is False.
______________________________
Each month Javier takes his recycling to the local recycling center where he separates the glass bottles into different
colors. He would like to determine the proportion of glass his household recycles that is clear glass, so he mixes up
his container and randomly grabs 10 glass items and determines the proportion that are clear glass.
The population is
The sample is
The parameter is the proportion of
The statistic is the proportion of
Answer:
The population is: all glass recycled
The sample is: the 10 selected glass items.
The parameter is the proportion of: all his glass that is clear
The statistic is the proportion of: the selected glass that is clear
The population of a distribution is the entire group, while the sample is the selected group from the entire group.
The population is all glass recycled The sample is the 10 selected glass items. The parameter is the proportion of all his glass that is clear The statistic is the proportion of the selected glass that is clearThe population
From the question, we understand that glasses are recycled and then separated into colors.
This means that, the population is all glass recycled
The sample
From the question, we understand that he randomly grabs 10 glass items, and then determine the proportion of clear glasses.
This means that, the sample is the 10 selected glass items.
The parameter
This is the value that summarizes all the glasses that are being recycled.
So, the parameter is the proportion of all his clear glasses
The statistic
This is the value that summarizes the selected glasses.
So, the statistic is the proportion of the selected glass that is clear
Read more about samples and population at:
https://brainly.com/question/15683425
A steel ball is dropped from a height and hits the ground 6.7 seconds after its release. From what height (in feet) was the ball released?
Step-by-step explanation:
Acceleration = g = 32.17ft/s²
Initial velocity = 0ft/s
Time taken = 6.7s
Using Kinematics,
we have s = ut + 0.5at².
=> s = (0)(6.7) + 0.5(32.17)(6.7)²
=> s = 722.06ft.
Help will make branliest
Answer:
I like that you watch wwe for one. but lets get started
the answer itself is m< 4=87
Step-by-step explanation:
Answer:
The answer is 87°
Step-by-step explanation:
A quadrilateral has an interior angle sum of 360°.
Given that three of the four angles in a quadrilateral are 89°, 80°, and 104°, we can create the following equation where x is the missing angle:
89° + 80° + 104° + x° = 360°.
All you have to do is add all the measures up and subtract from 360°.
89° + 80° + 104° + x° = 360° →
273° + x° = 360° →
x° = 87°.
Also, for any polygon, the interior angle sum is (n – 2) × 180°, where n is the number of sides.
A quadrilateral is a polygon with four sides so it's interior angle sum must be
(4 – 2) × 180° = 2 × 180° = 360°.
Select the fraction that is equivalent to one half.
HOW DO I DO THIS PLZ HELP
Answer:
1/2 one half
Step-by-step explanation:
Answer:
Multiply both the numerator and the denominator by the same whole number.
For example;
If you multiply 1/2 by 2/2, this will equal 2/4. You can simplify 2/4 to 1/2.
So to find 1/2 to be equivalent to another fraction, multiply both the numerator and the denominator by the same number to find a fraction that equals 1/2.
Amanda is decorating you new house. She found a table at Pottery Barn for $425. If the table is 45% off, what will it cost?
What are the like terms in the following algebraic expression? 5 - 3y + 2x - 5y + x - 2 + 3x^2
Answer:
3y+2x+5y+3x
Step-by-step explanation:
sepreate the varible numbers from the reguler
Is this an example of a function?
Yes or no?
Answer:
Yes.
Step-by-step explanation:
what is the slope of the line graphed below? (3,3) (0,-6)
Answer:
Where is the line
Step-by-step explanation:
Answer:
The slope of the lines is 3.
Step-by-step explanation:
Since I can't actually graph it, we can make a table
x y
3 3
0 -6
From 3 to -6, you subtract 9 (for the y section)
From 3 to 0, you subtract 3 (for the x section)
Now all you need to do is divide y by x
y/x = -9/-3 = 3
It's a positive 3, because two negatives times each other will always result in a positive.
Slope = 3
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Write the equation of the directrix of the parabola shown below.
y2 + 16y+ 4x + 4 = 0
Answer:
x = 16 is the answer
Step-by-step explanation:
Water
SA = 2tr2 + 2nrh
(Use 3.14 for 1.)
Find the surface area
of a water tower that is
40 feet tall and 20 feet
across the base.
square feet
Do NOT round your answer.
Answer:
the surface area is 3140 square feet
Step-by-step explanation:
The computation of the surface area is given below:
Given that
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Surface area = [tex]2\pi r^2 + 2\pi rh[/tex]
= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 square feet
hence, the surface area is 3140 square feet
The employees van assemble 1,576 cell phones in 8 hours.
If these employees continue to work at the same rate,how many cell phones will they assemble in 53hours?
A - 12,608
B - 10,441
C - 83,528
D - 70,920
Answer:
10,441
Step-by-step explanation:
1576/8=197
197x8=10,441
Plz help I’m dumd and I can’t answer it
Answer:
11
Step-by-step explanation:
25% is 0.25 or 1/4
44 x 0.25 =11
state if polygons are similar
PLS HELP: I am unsure how to calculate this into final numbers.
Cal Amity decided to survey 880 inhabitants of the Kingdom so that he could have a confidence level of 95% and a margin of error of 3%. He found that 72% of his sample answered "yes" to the second survey question, which was, "Have you done anything, or will you do anything, to prepare your kitchen for Gourmando's visit?"
Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare their kitchen before Gourmando's visit.
Options:
blank A: 3450
blank B: 5000
blank A: 0
blank B: 300
blank A: 3600
blank A: 150
blank B: 3600
blank B: 3750
Complete question :
Cal Amity decided to survey 880 inhabitants of the Kingdom so that he could have a confidence level of 95% and a margin of error of 3%. He found that 72% of his sample answered "yes" to the second survey question, which was, "Have you done anything, or will you do anything, to prepare your kitchen for Gourmando's visit?"
Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare their kitchen before Gourmando's visit.
If a population is 5000
Answer:
blank A: 3450
blank B: 3750
Step-by-step explanation:
Number of inhabitants surveyed = 880
Population size = 5000
Error margin = 3%
Percentage that answered 'yes' = 72%
The confidence interval :
Mean ± Error margin
Lower Bound = 72% - 3% = 69% = 0.69
Upper bound = 72% + 3% = 75% = 0.75
Since the question want us know the overall inhabitants of the kingdom who fall between this interval :
Blank A = lower boundary = 0.69 * 5000 = 3450
Blank B = upper boundary = 0.75 * 5000 = 3750
10 pts+ brainliest if correct
Answer:
C.
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
In the following equation, what is the y-intercept? y = -3.1 +7 03 o7
Answer:
the y-intercept, b, is 7
Step-by-step explanation:
Compare the given y = -3.1 +7 to y = mx + b. I must assume that you meant
y = -3.1x +7. It becomes evident that the slope, m, is -3.1 and the y-intercept, b, is 7.
Find the Y intercept of the line y-3=2(x + 1)
Answer:
y=2x+1
Step-by-step explanation:
y-intercept: (___,___)
r-intercept: (___,___)
Answer:
y= 0,4 x=0,3
Step-by-step explanation:
Find the percent error in this situation:
Estimated value: 145
Actual value: 189
Answer:
30.3% im so sorry if this is wrong if it is u can report this :(
Step-by-step explanation:
Answer:
23.3%
Step-by-step explanation:
You have to first take the estimated value - the actual value
= 145-189 = -44
Then you want to take -44 divide the actual value which is 189
= -44 / 189= 0.232804233
Lastly, you want to take 0.232804233 and multiply it by 100
= 0.232804233 x 100= 23.28042328
Round that number to get
=23.3%
Translate the sentence into an equation The sum of 5 times a number and 7 is 3
Use the variable b for the unknown number
HELPPPPPP
Answer:
Equation: 5b + 7 = 3
Step-by-step explanation:
Unknown number = b
5 times of number = 5b
Sum of 5b and 7 = 5b + 7
Equation;
5b + 7 = 3
Please Please Help ME!!! its so hard 50 points
Brainiest for correct answer.
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
The graph below represents the linear equation y=1/2x-3 a second linear equation is represented by the data in the table. What is the solution to the system of e
ik its late but the correct answer is C:(2,-2)
Step-by-step explanation:
I got the answer correct on Edge 2020.
Hope this helps!!
Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.
Answer: f(x)=200•(0.85)^x
Step-by-step explanation:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.
Jocelyn walks her dog 5 days each week.Each Walk is 2 1/4 miles long. What is the total number of miles that Jocelyn walks her dog each week
Answer:the answer is c
Step-by-step explanation:
Expand 2(c + 4).
Please help me
Answer:
2c+8
Step-by-step explanation:
this is because we are using 2 to open up the brackets. You will multiply c by 2 and 4 by 2.
