the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data sample, how many of them were in the 75 to 80 range?
Answers
Answer:
63
Step-by-step explanation:
score 75 is one standard dev below the mean ====>to the mean encompasses approx 34% of scores
.34 * 186 = 63
Related Questions
Mr. Edwards surveyed a total of 80 students in his first three classes in order to determine the numbers of students that have pets. Out of the 30 students in his 1st period class, 12 have no pets. Eighteen of the 27 students in his 2nd period class do have pets. Fourteen of the students in his 3rd period class do have pets. Construct a two-way table summarizing the data. Write the answers as whole numbers.
Answers
Answer:
the numbers of students that have pets 44
Step-by-step explanation:
Riya's biking app says that she rides at a speed of 5 miles per hour.
At this speed, how far does Riya ride in 1 hour?
At this speed, how far does Riya ride in 3 hours?
Write an equation for the relationship between Riya's distance biked, d,and time t
Answers
Answer:
Step-by-step explanation:
Formula
d = speed * time
d = s * t
Givens
t = 1 hour
t2 = 3 hours
s = 5 miles / hour
Solution
t = 1 hour
d = s * t
d = 5 mph * 1 hour
d = 5 miles
t = 3 hours
d = s * t
d = 5 miles / hour * 3 hours
d = 15 miles
Answer
d = s * t
d = 5 miles
d = 15 miles
You are in charge of purchasing breakfast for an upcoming service activity involving about 50 people.
You have the choice to pick one of the following food items:
donuts ($0.30/each)
muffins ($0.50/each)
bagels ($0.40/each)
You have the choice to pick one of the following drinks:
individual cartons of milk or chocolate milk ($0.50/each)
individual bottles of orange juice or apple juice ($0.75/each)
You must stay within a budget of $100.
Write the following in your notebook.
What food item did you choose? What drink did you choose? Why?
Write an inequality to represent the cost of the items (less than or equal to $100) in standard form. Use x to represent the number of food items and y to represent the number of drinks.
Solve the inequality for y (slope-intercept form). Interpret the slope in context of the drinks and food items that are being purchased.
Graph the inequality and describe your graph and the process you used; for example, is your line dotted, solid, or shaded up or down? What does the shaded region represent?
What are the x and y-intercepts? Explain what these would represent in this situation.
What are the domain and range in this problem? Explain why you would or would not use the minimum and maximum values of the domain and range. How are the domain and range in the context of this problem different from the domain and range of any linear equation? What are the limits?
Answers
The limits of the domain and the range are 0 to 200, respectively; and you would use the minimum and maximum values of the domain and range because the graph of the inequality uses a solid line.
The items chosenThe items selected here could be any of the listed drinks and food items.
To solve this question, we use the following selection:
Muffins ($0.50/each) -- xindividual cartons of milk or chocolate milk ($0.50/each) -- yBudget of $100The inequality of the cost of itemsIn this case, we use the less than or equal to inequality.
So, we have:
0.5x + 0.5y ≤ 100
Solve the inequality for y (slope-intercept form).In (b), we have:
0.5x + 0.5y ≤ 100
Subtract 0.5x from both sides
0.5y ≤ -0.5x + 100
Divide through by 0.5
y ≤ -x + 200
This means that the slope is -1, and it means that for every food item bought, there is a decrement of 1 in the drink.
The graph of the inequalitySee attachment for the graph of the inequality
The features of the graph include
Straight and solid lineIt is shaded downThe shaded region represents the acceptable solutionsWhat are the x and y-intercepts?From the attached graph, we have:
x-intercept = 200y-intercept = 200This means that you can buy 200 food items, when you buy no drinks or buy 200 drinks when you buy no food item
What are the domain and range in this problem?These are the acceptable x and y values of the graph.
From the attached graph, we have:
Domain: 0 ≤ x ≤ 200Range: 0 ≤ y ≤ 200The domain and range are different from the domain and range of any linear equation because the domain and the range of a linear equation is the set of all real numbers, while this domain and range are limited to 0 to 200
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help please!! ⬇️⬇️
find the volume
Answers
Can anyone tell me the formula or way to solve this problem
Answers
[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]
Samuel bought an 8-ounce bag of lettuce and a 1-pound bag of carrots. what is the total weight of the lettuce and carrots in ounces?
Answers
Answer:
the answer is 10z
Step-by-step explanation:
7+1=8
8+2=10
10z
Mrs. gellar works at a diner. at the end of
her shift, she was putting away pies in the
display case. there were 5 pies, and of 3/8
each pie left. what fraction of the pies did
mrs. gellar put away?
Answers
What is the equation of a line that has an x-intercept of 5 and a slope of 4?
Answers
Answer:
y=4x-20
Explanation:
Since we already have a slope, all we need to do is just find the y-intercept. To do this we can make an XY t-chart.
Using the chart we can see that for every x that decreases, a y decreases 4 times. So if we subtract 5 from x, we will multiply 5 times y. Note that this graph is increasing so the y-intercept is negative. -5 · 4 = -20
X | Y
6 | 4
5 | 0
0 | -20
Hope this Helps!
If n is an integer, what is the possible value of n for which 1,116n is the square of an integer? Explain.
E. 24
F. 28
G. 31
H. 33
Answers
Answer:
G.31
Step-by-step explanation:
when n = 31
1116n = 1116*31 = 34596
34596 is square of 186.
= 186^2
= 34596
and other values (24,28,33) of n does not give square during 1,116n but 31 gives.
Hence, 31 is the possible value of n for which 1,116n is the square of an integer(186).
can someone help me pls
Answers
Answer:
90
Step-by-step explanation:
Formula : 180 ( n - 2 ) / n n being the amount of sides
180 ( 4 - 2 ) / 4 = 90
21. The solution(s) is/are b =
Please help me solve this
Answers
Answer:
b = -4, 0
Step-by-step explanation:
Given :
b² + 4b = 0Take b as a common factor.
b(b + 4) = 0Solutions
b = 0b + 4 = 0 ⇒ b = -4b = -4, 0Answer:
b = - 4, b = 0
Step-by-step explanation:
b² + 4b = 0 ← factor out b from each term
b(b + 4) = 0
equate each factor to zero and solve for b
b = 0
b + 4 = 0 ⇒ b = - 4
6) What will be the new position of the given
point (0, 6) after translation of 6 units down
and 3 units right?
a) (6, 3)
b) (3, 0)
c) (-6, 3)
d) (-3,0)
Please help omg
Answers
Translating 6 units down - 6-6=3
Translating 3 units right - 0+3=3
What is the longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide, and 11cm tall?
Answers
The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
What is a right rectangular prism?A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
[tex](diagonal)^{2}[/tex] = [tex](length)^{2}[/tex] + [tex](width)^{2}[/tex]
[tex](diagonal)^{2}[/tex] = [tex](14)^{2}[/tex] + [tex](13)^{2}[/tex]
= 196 + 169 = 365
[tex](diagonal)^{2}[/tex] = 365
diagonal = [tex]\sqrt{365}[/tex] = 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
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Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
x²+17x+72=12.
Jordan's Solution x² + 17x + 72 = 12, (x + 8)(x + 9)= 12, x+8=12 & x+9=12
Keith's Solution x² + 17x + 72 =12, x² + 17x +60 =0, (x +5)(x +12) =0 x + 5 = 0 & x + 12 =0.
Randall's Solution x² +17x +72 = 12,x2 +17x = -60,x(x +17) = -60, -60 & x +17 = -60.
he equation was solved correctly by ____. The solutions of the equation are____.
Answers
Answer:
Keith's Solution-5-12Step-by-step explanation:
x + 5 =0 & x + 12 =0
:- x = -5 & -12
need help on this geometry problem
Answers
Here is a list of Numbers:
8 7 12 7 11 10 7 12
Find:
a) median
b) range
c) mode
Answers
The median, mode and range of the numbers are 9, 5 and 7 respectively.
How to find median, range and mode?
The median is the middle number when the data is arranged in ascending order.
Therefore,
7, 7, 7, 8, 10, 11, 12, 12
median = 8 + 10 / 2 = 18 / 2 = 9
median = 9
The range is the largest number minus the smallest number.
Therefore,
range = 12 - 7 = 5
range = 5
The mode is the number that appears most. Therefore,
mode = 7
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Mona's bank charges a $10 fee per month plus a $0.12 fee per check. The formula below gives f, the total fee in dollars for a month in which Mona writes n checks.
f=10+0.12n
How many checks did Mona write during a month in which her total fee was $12.52?
Answers
Answer: Mona wrote 21 checks during a month where her total fee was $12.52
Step-by-step explanation:
f = 10 + 0.12n
12.52 = 10 + 0.12n
[tex]\frac{2.52}{0.12}[/tex] = [tex]\frac{0.12n}{0.12}[/tex]
n = 21
Mona wrote 21 checks during a month where her total fee was $12.52
A campaign manager is creating campaign signs that advertise his political candidate. The campaign manager would like to maximize the surface area of the signs so that passersby have the greatest chance of seeing them. In keeping with local campaign laws, the campaign signs must have a perimeter of 160 inches. Explain how the campaign manger can find the width and height of the signs that maximize area. Round your values to the nearest tenth of a square inch.
Will mark brainliest please help!!
Answers
So if length be L and width be B
We know
Perimeter
2(L+B)So if he wants to create a rectangle advertisement
2(L+B)=160L+B=80The sum of length and breadth must be 80
If it's square
4S=160S=40inIt should have side as 40in
Monica walks 2 miles each day Monday through Friday. She walks 3 miles on Saturday. She does not walk on Sunday. Monica calculates that she will have walked 127 miles after 29 weeks.
What is an estimate for the number of miles that Monica will have walked after 29 weeks? Is her original calculation reasonable?
A: 137; her original calculation is reasonable
B: 145; her original calculation is not reasonable
C: 310; her original calculation is reasonable
D: 390; her original calculation is not reasonable
Answers
Answer:
390, since the answer I got was 377, and we are estimating so that’s the best estimate.
WILL GIVE 100 POINTS TO WHO ANSWERS THESE!!! Questions in Pictures.
Polynomials and Factoring
Answers
Assuming that you want the product of the two factors given in each problem:
⇒ we solve this problem by timing each unit of a factor to every unit
of the other factor
⇒then add each one of them who shares a common like-term
⇒to get the answer
Let's solve:
Question 9:[tex](4m+n)(m-2n)=4m*m+(-2n)*4m+n*m+n(-2n)\\=4m^2-7nm-2n^2[/tex]
Question 12[tex](2a-4b)(7a-2b)=2a*7a+(-2b)(2a)+(-4b)7a+(-4b)(-2b)\\=14a^2-4ab-28ab+8b^2\\=14a^2-32ab+8b^2[/tex]
Question 15[tex](4m+1)^2=(4m+1)(4m+1)=4m*4m+4m*1+1*4m+1\\=16m^2+4m+4m+1\\=16m^2+8m+1[/tex]
Question 18[tex](2w+1)(2w-1)=2w*2w+2w(-1)+1*(2w)+1(-1)\\=4w^2-1[/tex]
Question 21:[tex](m+3)(m^2+4m+7)\\=m*m^2+m*4m+m*7+3m^2+3*4m+3*7\\=m^3+4m^2+7m+3m^2+12m+21\\=m^3+7m^2+19m+21[/tex]
Question 24:[tex](3x+2)(5x^2-12x-2)\\=3x*5x^2+3x(-12x)+3x(-2)+2(5x^2)+2(-12x)+2(-2)\\=15x^3-36x^2-6x+10x^2-24x-4\\=15x^3-26x^2-30x-4[/tex]
Hope that helps!
HELP PLS I'LL MARK U BRAINLISTT
Answers
Answer:
KM = 7
LM = 7
KL = 11
Step-by-step explanation:
Isosceles triangles have 2 congruent sides (in this case they are KM and LM
This means 4d-13 = 12-d
We can now solve for d
4d-13 = 12-d | add d to both sides
5d-13 = 12 | add 13 to both sides
5d = 25 | divide both sides by 5
d = 5
Now we can solve for the 3 sides of triangle KLM
KM = 7
LM = 7
KL = 11
That is your answer
- Kan Academy Advance
please hepl will give brainly, 30 points
Answers
Answer:
∠G = 53°
∠H = 90°
∠I = 37°
Step-by-step explanation:
∠H = 90° because it is a right angle and all right angles = 90°
The sum of all angles in a triangle = 180°
∠H + ∠G + ∠I = 180°
90° + (5x - 7)° + (3x + 1)° = 180°
5x - 7 + 3x + 1 = 90° Subtract 90° from both sides
8x - 6 = 90 Adding like terms
8x = 96 Adding 6 to both sides
x = 12 Dividing both sides by 8
Now solve for ∠G and ∠I using 12 as the value for x
∠G = (5x - 7)° ∠I = (3x + 1)°
∠G = 5·12 - 7 ∠I = 3·12 + 1
∠G = 53° ∠I = 37°
I'm in 7th grade and am doing high school math! Help!
Answers
Answer:
Step-by-step explanation:
(x - 5)(x + 2) = 0
x - 5 = 0
x = 5
x + 2 = 0
x = -2
x = 5, -2
Two runners are saving money to attend a marathon. the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. the second runner has $50 in savings and will save $60 each month. which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 112 – 25m 45 = 50 – 60m 112 25 45m = 50m 60 112 25 – 45m = –50m 60 112 25m 45 = 50 60m
Answers
The equation that we need to solve is:
$157 + $50*m = $50 + $60*m
And the solution is m = 10.7 months.
Which equation models the situation?For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:
f(m) = $157 + $50*m
And the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:
g(x) = $50 + $60*m
They will have the same amount of money when:
f(x) = g(x)
$157 + $50*m = $50 + $60*m
$107 = $10*m
$107/$10 = m = 10.7
So, after 10.7 months, both accounts will have the same money.
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Find the lateral surface area of the triangular prism.
Answers
Answer:
672
[tex]A_L = (a+b+c)h = (12+10+20)*16 = 672[/tex]
What is the equation?
Answers
There is no answer? So how am I supposed to answer it?
Answer:
Yeah How am I supposed to answer it?
Step-by-step explanation:
Multiply.
(−8)⋅(−15)⋅(4)
Enter your answer in the box.
Answers
Answer:
la respuesta es 480
Step-by-step explanation:
(-8)(-15)=8*15=120
120*(4)
480
(-8)*(-15)*(4)=480
Step-by-step explanation:
(-8)*(-15)*(4)=480
What is the slope of a line that goes through (2, -2) and (5, 6)
8/3
4/3
3/4
3/8
Answers
Answer:
correct option is A i.e. 8/3
The diameter of a ceiling fan, blade tip to blade tip, is 120 centimeters.
a) about how many whole revolutions does it take for the fan to move 1000 meters?
_______
b) if the fan rotates at 40 revolutions per minute, about how long does it take to move 1000 meters? round to the nearest minute.
_______
Answers
The number of whole revolutions for 1000 meters is 265, while the time taken to move 1000 meters with a speed of 40rev/min is 7minutes.
What is a revolution?This is the number of times a body moves round a circular path.
A revolution is equal to the circumference of a circle.
Analysis:
r = 120/2 = 60cm
1 revolution of a circle = 2πr
Let n be the number of revolutions
so that 2πr x n = 1000 x 100 since 100 cm = 1 m
n = 100000/2πr = 265 revolutions
If the Fan turns 40 rev / minute
Then it 265 revolutions = 1000 meters, 265/40 = 7 minutes
In conclusion, the number of revolutions for 1000 meters is 265 and the time taken for 265 revolutions is 7 minutes.
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A rectangular plot measures 140m by 20m find the area in ares
Answers
Answer:
28ares
Step-by-step explanation:
that's the correct way.i hope you will understand it. if there's any question feel free to ask. nice day.