Answer:
0.15% of the students spent more than 557 on textbooks in a semester
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 473
Standard deviation = 28
According to the standard deviation rule, almost 0.15% of the students spent more than what amount of money on textbooks in a semester?
99.7% of the measures are within 3 standard deviations of the mean, so 100 - 99.7% = 0.3% are more than 3 standard deviations from the mean.
The normal distribution is symmetric, which means that 0.3%/2 = 0.15% spend less than 3 standard deviations below the mean, and 0.15% spend more than 3 standard deviations above the mean.
473 + 3*28 = 473 + 84 = 557
0.15% of the students spent more than 557 on textbooks in a semester
Puzzles are packaged in groups of 3. If the store has 183 nature puzzles and 165 animal puzzles, how many packages of puzzles are there?
Answer: 116 packages
Step-by-step explanation:
From the question, we are informed that Puzzles are packaged in groups of 3 and that the store has 183 nature puzzles. The number of packages here will be:
= 183/3
= 61 packages
For the 165 animal puzzles, the number of packages will be:
= 165/3
= 55 packages
The total number of packages of puzzles will be:
= 61 + 55 packages
= 116 packages
Answer:
116
Step-by-step explanation:
First find total number of puzzles.
183+165=348
Then divide the total puzzles by puzzles in a package (3)
348÷3=
116 packages of puzzles
What is x? I’ll make you the brainliest
Answer:
48
Step-by-step explanation:
If EG=8, OE=4
x/12=4
x=4(12)
x=48
HELLLLLLLP i beg youuu
Answer:
1.5
Step-by-step explanation:
4:6 = 1:1.5
A college student completed some courses worth 3 credits and some courses worth 4 credits. The studentearned a total of 59 credits after completing 18 courses.How many courses worth 3 credits did the student complete?
Answer:
The student completed 13 courses worth 3 credits
Step-by-step explanation:
System of Equations
Let's assign the following variables:
x = number of courses worth 3 credits
y = number of courses worth 4 credits
Some student completed 18 courses thus:
x + y = 18 [1]
The student earned a total of 59 credits:
3x + 4y = 59 [2]
From [1]:
y = 18 - x
Substituting in [2]:
3x + 4(18 - x) = 59
Operating:
3x + 72 - 4x = 59
Simplifying:
-x = 59 - 72 = -13
x = 13
The student completed 13 courses worth 3 credits
A bicycle with 24-inch diameter wheels is traveling at 12 mi/h. Find the angular speed of the wheels in rad/min.
Answer:
1055.99 rad/min
Step-by-step explanation:
Given that,
The diameter of a bicycle, d = 24 inches
Radius, r = 12 inches
The bicycle is travelling at 12 mi/h.
We need to find the angular speed of the wheels in rad/min.
We know that,
1 mi/h = 0.0166667 mi/min
It means,
12 mi/h = 0.2 mi/min
Also,
12 inch = 0.000189394 miles
The angular speeds of the wheels is given by :
[tex]v=r\omega\\\\\omega=\dfrac{v}{r}\\\\\omega=\dfrac{0.2}{0.000189394}\\\\\omega=1055.99\ rad/min[/tex]
So, the angular speeds of the wheels is 1055.99 rad/min.
Expand and simplify 2(x + 7) + 3(x + 1)
Answer:
[tex]5x+17[/tex]
Step-by-step explanation:
We will have to expand first then we simplify.
Expand
You will have to distribute the 2 over the x & 7 and the 3 over the x & 1 respectively.
[tex]2(x+7)+3(x+1)=2x+14+3x+3[/tex]
Simplify
You will have to add 2x & 3x together and 14 & 3 together.
[tex]2x+14+3x+3=5x+17[/tex]
Answer
[tex]5x+17[/tex]
peter has 6/7 of a stack of baseball cards left. If he is planning on splitting what he has left into stacks that are each 3/28 of a pack of cards, how man stacks can he make?
=======================================================
Work Shown:
Let's say there are 28 cards in a full stack.
6/7 = 24/28 after multiplying top and bottom by 4
Since he has 24/28 of a stack left, this means he has 24 cards left.
He wants to arrange the remaining cards into piles so that each pile consists of 3/28 of a full stack. In other words, he wants each pile to have 3 cards.
So this must mean he will get 24/3 = 8 piles
(8 piles)*(3 cards per pile) = 8*3 = 24 cards total
A fraction is a way to describe a part of a whole. The number of stacks that Peter has left into stacks that are each 3/28 of a pack of the left cards is 8.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that Peter has 6/7 of a stack of baseball cards left. Also, he makes small stacks from the left cards of size 3/28. Therefore, the number of stacks Peter made,
[tex]\text{Number of stacks Peter made} = \dfrac{\text{Stack of baseball cards left}}{\text{Size of small stack of cards}}\\\\\\\text{Number of stacks Peter made} = \dfrac{\frac{6}{7}}{\frac{3}{28}}\\\\\\\text{Number of stacks Peter made} = \dfrac{6 \times 28}{7 \times 3} = 8[/tex]
Hence, the number of stacks that Peter has left into stacks that are each 3/28 of a pack of the left cards is 8.
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Suppose that c is a number for which the equation c÷c = 1 is false. What is c?
Answer:
Hope it help
Mark me as brainliest
Step-by-step explanation:
5. Usa el método de cocientes parciales para hallar 1,032 ÷ 43.
the answer for the question is 24
.
NEED ANSWER ASAP DUE TODAY!!!!!
Calculate the value of each expression.
a. (-8) times 2/3
b. (-8) times (-2/3)
c. -18/3
d. 18/-3
e. -18/-3
1.)20 is twice as much as 10 (True or False
2.)10 is twice as much as 20 (True or False)
3.)30 is double 15 (True Or False)
4.) 15 is double 30
(True or False)
The options that are true are (1), (3) and false ones are (2), (4).
What are arithmetic operations?The basis of all mathematical operations are the arithmetic operations. These operations include addition, subtraction, multiplication, and division.
The given options can be examined one by one as follows,
(1) The given number 20 may be expressed as a mathematical operation as follows:
20 = 10 × 2
Which implies it is two times that of 10.
Thus, it is true.
(2) The given number 10 may be expressed as a mathematical operation as follows:
10 = 20 ÷ 2
Which implies it is half of 20.
Thus, it is false.
(3) The given number 30 may be expressed as a mathematical operation as follows:
30 = 15 × 2
Which implies it is two times that of 15.
Thus, it is true.
(4) The given number 15 may be expressed as a mathematical operation as follows:
15 = 30 ÷ 2
Which implies it is half of 30.
Thus, it is false.
Hence, the true and false options are (1), (3) and (2), (4) respectively.
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What is the HCF of 27 and 15
Answer:
3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
5x3=15 and 3x9=27 so it’s 3.
Milly wants to buy this seated Elliptical for 169.99 (regularly 250.00)
What's the discount? What will be the total price afterwards?
Show the work for the answer
x=³√27
x = 3
Answer:
x = 3
Step-by-step explanation:
Given that,
[tex]x=\sqrt[3]{27}[/tex]
We need to show work to solve it.
We know that,
27 = 3×3×3
or
27 = (3³)
So,
[tex]x=\sqrt[3]{3\times 3\times 3}\\\\=(3^3)^{\dfrac{1}{3}}\\\\x=3[/tex]
Hence, this is the required solution.
How do I decompose the fraction 4 2/5
Answer:
910293012
Step-by-step explanation:
it is nine thousand four billion atoms in one partial.
Which ordered pair is on the graph of the function? (-6, 4) (-1, 2) (-2, -4) (6, -3)
Answer:
(-6,4) hope that helps you it's that in the y there is two 4
Vishal's phone plan costs $45.37 per month plus $0.60 per text message. How many text messages can he send and keep his monthly costs to no more than $79?
Please Help asap!! I will give brainly to whoever answer correctly! I need to submit this answer by today!
Which statement best describes the expression 3y ÷ 8?
(answer choices-
A- 8 divided by 3 times y
B- 8 times y divided by 3
C- 3 divided by 8 times y
D- 3 times y divided by 8
Answer:
C or D
Step-by-step explanation:
Answer:
I think option D 3 times y divided by 8
Complete the statement to illustrate the commutative property. (PLEASE ANSWER FAST FOR BRAINLIEST!!!)
10 + (9 + 11) = 10 + (11 + ___ )
a. 11
b. 20
c. 9
d. 10
Answer:
9
--- your answer is 9 oof
What is the average rate of change of the function g(x) = 4x from x = 1 to x = 5?
Answer:
[tex]\displaystyle 4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Function NotationInterval Notation - [a, b]Average Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1: Define
g(x) = 4x
Interval [1, 5]
Step 2: Find Change
Substitute in function and points [Average Rate of Change]: [tex]\displaystyle \displaystyle \frac{4(5) - 4(1)}{5 - 1}[/tex][Fraction] Multiply: [tex]\displaystyle \displaystyle \frac{20 - 4}{5 - 1}[/tex][Fraction] Subtract: [tex]\displaystyle \displaystyle \frac{16}{4}[/tex][Fraction] Divide: [tex]\displaystyle 4[/tex]Which figures can be precisely defined by using only undefined terms? Select three options.
angle
arc
circle
line segment
parallel lines
Answer:
Circle, angle, and line segment.
A. f(x) = 2|2| is differentiable overf
X
B. g(x) = 2 + || is differentiable over
-f
Recall the definition of absolute value:
• If x ≥ 0, then |x| = x
• If x < 0, then |x| = -x
(a) Splitting up f(x) = x |x| into similar cases, you have
• f(x) = x ² if x ≥ 0
• f(x) = -x ² if x < 0
Differentiating f, you get
• f '(x) = 2x if x > 0 (note the strict inequality now)
• f '(x) = -2x if x < 0
To get the derivative at x = 0, notice that f '(x) approaches 0 from either side, so f '(x) = 0 if x = 0.
The derivative exists on its entire domain, so f(x) is differentiable everywhere, i.e. over the interval (-∞, ∞).
(b) Similarly splitting up g(x) = x + |x| gives
• g(x) = 2x if x ≥ 0
• g(x) = 0 if x < 0
Differentiating gives
• g'(x) = 2 if x > 0
• g'(x) = 0 if x < 0
but this time the limits of g'(x) as x approaches 0 from either side do not match (the limit from the left is 0 while the limit from the right is 2), so g(x) is differentiable everywhere except x = 0, i.e. over the interval (-∞, 0) ∪ (0, ∞).
the last one is 3/20
Answer:
the answer is C my man. I believe so
Answer:
I believe it is C.
Step-by-step explanation:
Simplify the following expression
4[7+2/3-2(3/5)]
Answer: Add 7+ [tex]\frac{2}{3}= \frac{7}{1} + \frac{2}{3} = \frac{7.3}{1.3} + \frac{2}{3} = \frac{21.2}{3} = \frac{23}{3}[/tex] For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(1, 3) = 3. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 3 = 3. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - seven plus two thirds = twenty-three thirds.
Multiple: 2 * [tex]\frac{3}{5} = \frac{2.3}{1.5} = \frac{6}{5}[/tex] Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - two multiplied by three fifths = six fifths.
Subtract = [tex]\frac{23}{3} - \frac{6}{5} = \frac{23.5}{3.5} - \frac{6.3}{5.3} = \frac{115}{15} - \frac{18}{15} =\frac{115 - 18}{15}[/tex]For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - twenty-three thirds minus six fifths = ninety-seven fifteenths.
Multiple: 4 Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(388, 15) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - four multiplied by ninety-seven fifteenths = three hundred eighty-eight fifteenths.
Step-by-step explanation:
hope this helps
Need help ASAP Question 1 of 10
If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the
new equation be?
Answer:
4(x - 9)^2 - 17
Step-by-step explanation:
A horizontal shift to the right by 9 changes x^2 to (x - 9)^2.
A vertical shift down by 1 changes - 16 to -17.
Therefore, the new equation is:
4(x - 9)^2 - 17
Use the fact 26% of 78= 20.28 to find 13% of 78
Answer:10.14
Step-by-step explanation:
13x78=1014/100=10.14The sides of a square garden are x? yards long. The area inside the garden is 49 square yards. What is the value of x?
Oa. 49 yards
Oc 77 yards
Ob. 7 yards
O d. 2 yards
Answer:
7 yards
Step-by-step explanation:
sqrt(49)=7
The value of the x is 7 yards. The correct option is b.
What is a square?Square is a polygon which has 4 sides. All four sides of the square are equal length and perpendicular to each other, that means the angle between two adjacent side is 90°.
Given shape is a square.
And side of the square is x yards.
The area inside the garden is 49 square yards.
Area is the amount of area occupied by an object's flat (2-D) surface or shape.
So, the area of the square = (side x side)
Substituting the values,
49 = (x)²
x = 7
Therefore, the side is 7 yards.
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Solve the system of linear equations below, using substitution method.
8x + 9y = 36
3x + 4y = 16
0 (0,4)
хо (57.6.-47.2)
0 (4.4137, 2.9396)
O (5.6842,-0.2632)
5
Answer:
The solution is (0,4).
Step-by-step explanation:
We are given the following system of equations:
[tex]8x + 9y = 36[/tex]
[tex]3x + 4y = 16[/tex]
Solving by substitution.
In the first equation, we have that:
[tex]8x + 9y = 36[/tex]
[tex]8x = 36 - 9y[/tex]
[tex]x = \frac{36-9y}{8}[/tex]
Replacing in the second equation:
[tex]3x + 4y = 16[/tex]
[tex]3\frac{36-9y}{8} + 4y = 16[/tex]
Multiplying everything by 7
[tex]3(36 - 9y) + 32y = 128[/tex]
[tex]108 - 27y + 32y = 128[/tex]
[tex]5y = 20[/tex]
[tex]y = \frac{20}{5}[/tex]
[tex]y = 4[/tex]
Now, with y, we can find x.
[tex]x = \frac{36-9*4}{8} = 0[/tex]
So the solution is (0,4).
Work out the equation of the line which has a gradient of 1/2 and
passes through the point (4, -2).
9514 1404 393
Answer:
y = 1/2x - 4
Step-by-step explanation:
The point-slope form of the equation for a line is a useful starting place when slope and point are given.
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y -(-2) = 1/2(x -4) . . . . line with slope 1/2 through point (4, -2)
y = 1/2x - 4 . . . . . . . . eliminate parentheses, subtract 2
A rectangular price tag has a cemeter of 30 centimeters, It's area is 54 square centimeters
What are the dimensions of the price tag
Answer:
l = 9 inches and b = 6 inches.
Step-by-step explanation:
Given that,
The perimeter of a rectangular price tag, P = 30 cm
The area of rectangular price tag, A = 54
We need to find the dimensions of the price tag.
The area of rectangle is given by :
A = lb
So,
54=lb ...(1)
The perimeter of a rectangle is given by :
P = 2(l+b)
So,
30=2(l+b)
15=(l+b) ...(2)
We need to solve equation (1) and (2) such that,
l = 9 inches and b = 6 inches.