Answer:
- The mean, median and modal students' grades are all grade 70.
- The degree of spread of the grades about the mean grade is in grade value of the standard deviation, 15.
- Half of the class score grade 70 and beyond and half of the class also score grade 70 and below.
- 68% of the class score between grade 55 and 85.
- 95% of the class score between grade 40 and 100.
Step-by-step explanation:
If the normal distribution curve of the students' grades has a xbar = 70, and a σ = 15, it translates that the mean, median and the modal student grade is 70 because a normal distribution is that symmetric about the center of the distribution and the spread of the grades away from grade 70 is in grade scores of 15, the standard deviation.
It also directly mean that half of the distribution exist at grade 70 and above and the other half exists at grade 70 and below.
The empirical rule also explains further that 68% of the distribution exists between one standard deviation of the mean, that is;
68% of the distribution exists between (70±15) = (55, 85)
95% of the distribution exists between two standard deviations of the mean.
[70±(2×15)] = (40, 100)
Hope this Helps!!!
Answer:
Sample Response: By analyzing the curve, you can tell that the average, or mean, grade is 70. This is also the median of the grades, so we know that one half of the scores are less than or equal to 70, and the other half of the scores are greater than or equal to 70. The bulk of the scores are between 55 and 85.
Step-by-step explanation:
What did you include in your response? Check all that apply.
The mean and median of the scores is 70.
Most of the scores are between 55 and 85.
Half of the scores are less than or equal to 70, while the other half are greater than or equal to 70.
Please answer asap!!!!!!!!
PLZ HELP MATH!
ASAP MANY POINTS REWARDED!
Answer:
Isosceles
Step-by-step explanation:
Two sides are equal to each other and not the same length as the other side, so it'd be an isosceles triangle.
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Answer:
8
Step-by-step explanation:
7*4=28
2*4=8
Answer:
c=8
Step-by-step explanation:
Using cross. multiplication
multiply 2 by 28 2x28=56
Multiple c by 7 cx7=7c
divide both sides by 7
c=8
Which is the solution to
2x − y = 1
4x + y = 11 ?
A) (−2, 3)
B) (2, 3)
C) (3, 2)
D) (3, −2)
Answer:
B
Step-by-step explanation:
2 x 2 = 4 - 3 = 1
4 x 2 = 8 + 3 = 11
One of the first things we notice in this dream is an
amazing universalism. It does not say some men, but it
says all men. It does not say all white men, but it says all
men, which includes black men. It does not say all
Gentiles, but it says all men, which includes Jews. It does
not say all Protestants, but it says all men, which includes
Catholics.
- "The American Dream,"
Dr. Martin Luther King, Jr., 1964
How does this passage make use of an appeal to
logos?
It explains what "all men" means and what it
includes.
It relies on the use of the word "amazing."
It focuses on the use of negative words.
It points out differences in religion.
Intro
Done
When talking about logos, we look for strong words and phrases, as well as repitition.
1. Elimination
The answer is surely not "It relies on the use of the word 'amazing.'" This is because it is not important, and not repeated. If we were to remove this word, this secton of the speech would still be powerful.
The answer is not likely to be "It focuses on the use of negative words." This is because negative words are not included in this, so there isn't a focus on them.
The answer is not "It points out differences in religion" because mentioning religion was a small detail. It doesn't point out the differences in religion, but rather points out there are different religion. Nonetheless, this is just an example to prove MLK's point and wouldn't be right anyway,
2. Conclusion
Because we have eliminated all answers but one, we skip a few steps. We now must justify why the answer is the remaining choice.
The answer is most likely "It explains what 'all men' means and what it includes." This is because not only is this statement the evident main idea, it also includes the powerful repitition that is utilized to display a message.
If we were to apply this to another section of a Martin Luther King Jr. speech, "I Have a Dream", we would find the answer includes thw words "I Have a Dream". This line could be considered the most quotable and well-known quotes related to social justice. The line is repeated many times, with elaborations, just as "all men" is.
Please let me know if this helped, or if you have any questions! If you wouldn't mind, I'd be very grateful for a rating! Thank you!
Answer:
A. It explains what “all men” means and what it includes.
Step-by-step explanation: It told me once I got it wrong because the answer on here was useless. Good luck on your assignment!
what is the volume of this hemisphere? Exact answer in terms of π the radius is 48 m options 1) 9,216 π cubic meters 2) 18,432 π cubic meters 3) 28,938 π cubic meters 4) 57,876 π cubic meters
Answer:
Volume, [tex]V=73728\pi \ m^3[/tex]
Step-by-step explanation:
The formula for the volume of hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
r is radius of hemisphere, r = 48 m
[tex]V=\dfrac{2}{3}\pi\times (48)^3\\\\V=73728\pi \ m^3[/tex]
So, the volume of hemisphere is [tex]73728\pi \ m^3[/tex].
The components of a position vector of a particle moving in the plane are [tex](t^3, 2sin(t))[/tex]
What is the distance traveled by the particle from t = 1 to t = π?
Answer:
30.113
Step-by-step explanation:
r(t) = (t³, 2 sin t)
The distance traveled is the length of the path (arc length):
L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
L = ∫₁ᵖⁱ √((3t²)² + (2 cos t)²) dt
L = ∫₁ᵖⁱ √(9t⁴ + 4 cos²t) dt
Using a calculator:
L ≈ 30.113
Notice that distance is not the same as displacement. If we wanted to find the displacement:
r(π) = (π³, 0)
r(1) = (1, 2 sin 1)
Δr = √((π³ − 1)² + (0 − 2 sin 1)²)
Δr ≈ 30.053
Solve for x, 17x > -17
Answer:
x = -1
Step-by-step explanation:
17x > -17, Divide both sides by 17
17x / 17 > -17 / 17
x > -1
√175 Simplify.Remove all perfect squares from inside the square root.
Answer:
13.22875655532295...
Step-by-step explanation:
not a perfect square so... yea
brainliest pls
Answer:
[tex]5\sqrt{7}[/tex]
Step-by-step explanation:
[tex]\sqrt{175}=\sqrt{7\cdot 25}=\sqrt{7}\cdot \sqrt{25}=\sqrt{7} \cdot 5=5\sqrt{7}[/tex]. Hope this helps!
6th GRADE MATH:
The length of a park is 250 meters. What’s the park in kilometers?
Answer:
.25 kilometers
Step-by-step explanation:
Divide the length value by 1000 when going from meters to kilometers
help please, give me the best possible answer you guys got
:)
Answer:
(i) (4, 0)
(ii) -2
Step-by-step explanation:
y = 4 + 3x - x^2
(i)
At point A, y = 0
4 + 3x - x^2 = 0
x^2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x - 4 = 0 or x + 1 = 0
x = 4 or x = -1
The x-coordinate of point A is positive, so it is 4.
The coordinates of point A are (4, 0).
(ii)
y = mx + 8
We know point (4, 0) is on the line, so we substitute 4 for x and 0 for y and solve for m in the slope equation.
0 = m(4) + 8
4m = -8
m = -2
. A professora colocou em uma urna 25 bolinhas vermelhas, 15 bolinhas azuis e 10 bolinhas amarelas, todas do mesmo tamanho. Ela solicita a um aluno que retire uma bolinha sem olhar. Qual a probabilidade do aluno retirar uma bolinha azul? * 10 pontos (a) 25/50 (b) 15/50 (c) 10/50 (d) 45/50
Answer:
(b) 15/50
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 25+15+10 = 50 small balls.
Of those, 15 are blue.
Probability of taking a blue ball:
15/50
This means that (b) is the correct answer.
Help me answer this question pls
I believe it's a scalene triangle.
We could mark that ME = d, where d= diamater.
For segment TE, we can tell it is different length then all of the other lines.
Now, would MT be equivalent to ME in length? No. I can tell that segment MT is a tiny bit shorter than ME.
Why? If we look at line TE, we can tell that it is not perfectly horizontal; it is slanted to the left. By logic, we can deduce that because the left slant brings T ever so closely to M, there is a shorter distance between M and T than M and E.
If none of the sides are the same length, the triangle is scalene.
If you are able, I'd really appreciate a rating, or if you have questions, I'd be happy to answer.
1. What Asian country's flag has the MOST colors? *
India
Thailand
Japan
China
2 Which Asian cu
Answer:
Thailand answered the question already
Michael has a set of five cards shown below. Michael will randomly select a card, not replace it, and then select another card. What is the probability that he selects a prime number and then a 1? *
Step-by-step explanation:
The table is not given, but
The Probability that he selects a prime number = (number of prime number) ÷ (total number of all cards)
And
The probability of selecting a 1 = (total number of 1's)÷(total number of all numbers in the deck).
5/3
Step-by-step explanation:
take the 3 then add it again then you add 3 and get 5/3
a) -3 · x = -21
b) -7x + 16 = 2x - 20
help pls
Sid starts with savings of £13
Tim starts with no savings
Each week from now,
- Sid will save £3.50 and Tim will save £3
In how many weeks will Sid and Tim have savings in the ratio 17 : 9
Your final line must say, 17 : 9 in weeks
Answer:
after 6 weeks
Step-by-step explanation:
Sid and Tim starts saving each week.
Sid starts his savings with initial amount of £13.00
Tim starts his saving with initial amount of £00.00
Each week from now Sid will save = £3.50
Tim will save each week = £3.00
Let's assume after 'x' weeks the amount of Sid would be = £ (13 + 3.50x)
and the amount of Tim's saving after x weeks = £ (3x)
The ratio of their savings in x weeks would be = 17 : 9
Now the expression we get,
(13 + 3.50x) : (3x) = 17 : 9
[tex]\frac{13+3.50x}{3x}=\frac{17}{9}[/tex]
9(13 + 3.50x) = 17(3x)
117 + 31.5x = 51x
117 = 51x - 31.5x
117 = 19.5x
[tex]x=\frac{117}{19.5}[/tex]
x = 6
After 6 weeks the savings of Tim and Sid would be in the ratio of 17 : 9.
Unit 5. 6) Please help. A block of wood has a density of 2.7 grams per cubic centimeter. If the block has a mass of 54 grams, what is its volume?
Answer:
V = 20 cm^3
Step-by-step explanation:
density = mass / volume
2.7 grams/ cm^3 = 54 grams / V
Multiply V on each side
V *2.7 grams/ cm^3 = 54 grams / V *V
Divide each side by 2.7
V = 54 grams / 2.7
V = 20 cm^3
Answer:
The correct answer is option 2, 20cm.
Can someone please help me with this?
Answer:
Step-by-step explanation:
find the proportion and solve for the volume.
Based on the graph below, what is f(2)? plzz answer quickly!
Answer:
-2
Step-by-step explanation:
From the position of 2 on the x axis, just trace down to the graph.
Where the trace intersects the graph, then trace this point to the y-axis
This gives -2
Answer:
The answer is (-2)
Hope this helps!
what is 6 1/5 + (-7 3/5)
Answer:
-1.4 or -7/5
Step-by-step explanation:
make them improper then subtract
Answer:-1.40
Step-by-step explanation: 6 1/5= 6.20 and (-7 3/5)=-7.60
6.20 = -7.60 is the same as 6.20-7.60=-1.40
a rectangle has a width that is 7 centimeters less than its length, and it’s area is 330 square centimeters. what are the dimensions of the rectangle?
Answer:
The dimensions of the rectangle are 22cm of length and 15cm of width
Step-by-step explanation:
To solve this we first have to know the formula to calculate the area of a rectangle
a = area = 330 cm²
L = length =
w = width = L - 7cm
a = l * w
we replace with the known values
330 cm² = L * (l - 7cm)
330 cm² = L² - 7Lcm
0 = L² - 7Lcm - 330 cm²
when we have an equation like this we can use bhaskara
a = 1
b = -7Lcm
c = -330cm²
ax² + bx + c = 0
x = -b(±)√(b² - 4ac)/2a
we replace with the known values
L = -(-7cm)(±)√(7² - 4(1)(-330cm²)) / 2(1)
L = 7cm(±)√(49 + 1320cm²)) / 2
L = 7cm(±)√(1369cm²)) / 2
L1 = (7cm + 37cm) / 2
L1 = 44cm / 2 = 22cm
L2 = (7cm - 37cm) / 2
L2 = -30cm / 2 = -15cm
The positive represents the unknown with which we work (L) and the negative with which we do not work (W)
The dimensions of the rectangle are 22cm of length and 15cm of width
each store is offering a different promotion
Answer:
Ddddddddddddddddddddddddd
John weighs 1.5 times as much as Ellen. If John weighs 144 pounds how much does Ellen weigh?
Answer:
Ellen weighs 96 lbs
Step-by-step explanation:
Look at the attachment
Answer:
It could be wrong but i got 96lbs
Step-by-step explanation:
144 divided by 1.5
A regular hexagon has sides of 3 feet. What is the area of the hexagon?
27 √3 ft 2
18 √3 ft 2
9 √3 ft 2
13.5 √3 ft 2
Answer:
13.5√(3) ft^2
Step-by-step explanation:
In this, question, we are to calculate the area of the hexagon
Mathematically, we can calculate the area of a hexagon using the formula;
A = {3√(3)/2}a^2
where a is the length of the side which is 3 feet
substituting the value of 3 into the formula, we have;
A = 3√3/2 * 3^2 = 27 √(3)/2 = 13.5√(3) ft^2
Answer:
13.5√(3) ft^2
Step-by-step explanation:
The algebraic expression below is a polynomial.
(x-1^k)
where k is a real number.
Please select the best answer from the choices provided
T
F
Answer:
T
Step-by-step explanation:
Just did it
Isaak is writing an explicit formula to represent the sequence.
64, 112, 196, 343, ...
What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.
0.75
1.75
58
279
Answer:
a(n) = 64*(7/4)^(n - 1)
Step-by-step explanation:
Dividing 112 by 64 results in the common ratio 7/4.
Dividing 196 by 112 also results in the ratio 7/4.
So we can safely assume that the common ratio here is 7/4.
The explicit formula for this sequence is a(n) = 64*(7/4)^(n - 1)
Answer:
1.75
Step-by-step explanation:
1.75 is the value
If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work.
Answer:
yes, event A and B independent
Step-by-step explanation:
given data
P(A) = 0.25
P(B) = 0.60
P(A and B) = 0.15
solution
we know here P(A and B) = 0.15
so we know here for independent
P(A and B) is = P(A) × P(B) .......................1
so we take here R.H.S here in equation 1 and put here value
P(A) × P(B)
P(A) × P(B) = 0.25 × 0.60
P(A) × P(B) = 0.15
so it is equal to L.H.S = R.H.S
so, we can say that A and B are independent
I'm not really looking for an exact answer, I'm more so looking for an explanation on how to do this.
I would have each block be 1/6 of a yard
You could technically have any value you want, but for me 1/6 is easiest because 1/2 and 1/3 will scale up to this like so
1/2 = (1/2)*(3/3) = 3/6
1/3 = (1/3)*(2/2) = 2/6
The diagram below might help if you're still stuck on why I picked 1/6.
It takes Carrie 58 minutes to get home.
If Carrie leaves for home at 1:32, what time will she arrive?
Answer:
she gets home at 2:30
Step-by-step explanation:
