Answer:
25%
Step-by-step explanation:
Since Normal Distribution is symmetrical Distribution and 5.3 and 10.7 are both 2.7 below and 2.7 above the mean respectively.
So, % of students less than 5.3 hours per week is 25%
Help me pleasseeeeeeeeeeeeee
Answer:
A. x ≤ 0Step-by-step explanation:
Look at the picture.
The range: -6 ≤ y ≤ 9
The domain: x ≤ 0
Solve for x in the equation X2 - 12x+36 = 90-
x=6+3/10
O x=6+2.17
| O x= 12+3/22
x= 12+3/10
Answer:
x = 6 ± 3√10
Step-by-step explanation:
Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a, according to the Quadratic Equation, y = Ax² + Bx + C. Applying the Quadratic Formula will give you the above answer.
NOTE: -b = OPPOSITE of b
I am joyous to assist you anytime.
Final answer:
To solve x² - 12x + 36 = 90 for x, we simplify the equation to x² - 12x - 54 = 0 and use the quadratic formula to find x = 6 + 3√10 and x = 6 - 3√10.
Explanation:
To solve the equation x² - 12x + 36 = 90, we can first simplify it by subtracting 90 from both sides to set it equal to zero:
x² - 12x + 36 - 90 = 0Now we use the quadratic formula, which states that for any quadratic equation of the form ax² + bx + c = 0, the solutions for x can be found using:
x = (-b ± √(b² - 4ac)) / (2a)Applying this to our equation with a = 1, b = -12, and c = -54, we get:
x = (12 ± √((-12)² - 4*1*(-54))) / (2*1)Thus, the solutions are x = 6 + 3√10 and x = 6 - 3√10.
What’s 120% of 200?
Please Help
Answer:
240
Step-by-step explanation:
200 divided by 100, to get the amount per percent, then multiply it by 120, to get 240.
Answer:
Step-by-step explanation:200 multipled by 120%
200 • 120/100
Reduce the numbers with the greatest common divisor 100
2 • 100
2 •120
Multiply the numbers
THE ANSWER IS 240
I need this explained
[tex]\text{Hey there!}[/tex]
[tex]\text7x}^2\text{- 32x - 60}[/tex]
[tex]\text{The answer is: (7x + 10)(x - 6)}[/tex]
[tex]\text{Because if you follow the step to the answer (first you have to distribute}[/tex] [tex]\text{then combine the like terms after distributing) after all of that you SHOULD}[/tex] [tex]\text{get the equation back!}[/tex]
[tex]\text{Distribute}\downarrow\\\\\text{7x(x)=7x}^2\\ \text{7(-6x)= -42}\\\text{10(x)= 10x}\\\text{10(-6)= -60}[/tex]
[tex]\text{Combine your like terms (terms that has the almost the same thing)}\downarrow[/tex]
[tex]\text{-42x + 10x = -32x}[/tex]
[tex]\text{The other terms stays the same because they DON'T have like terms}[/tex]
[tex]\text{Original problem: 7x}^2\text{- 32x -60}[/tex]
[tex]\boxed{\boxed{\bf{Answer: (7x+10(x -6))}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
How is solving for speed similar to solving for time?
Time= distance/speed (T = d/s)
Rate or speed are similar since they both represent some distance per unit time such miles per hour and kilometers per hour. To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
What is the formula for distance divided by time?distance = rate x time To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.
What is the relationship between speed and time?This is because, speed of the object refers distance travelled divided by time or it expressed as, Furthermore, 1 could also explain the relationship of the time with other two variables using this formula. Speed could be of 2 types, relative or average.
from the formula,
Distance = time * speed
Speed = distance/time
Time= distance/speed (T = d/s)
So basically distance divided both of them when it find speed distance divide time when fine time distance divide speed.
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plz answer asap i need to graduate this week
UNIT 3 REVIEW
Circle the correct answer to each of the following questions. All
answers are rounded to the second decimal place,
1. What is the volume of a building that is 18 meters long,
9 meters wide, and 6 meters high?
a. 948 meters b. 972 meters c. 984 meters
2. What is the volume of a fish tank that is 26 inches long,
14 inches wide, and 18 inches high?
a. 6552 inches b. 6844 inches 7208 inches
3. What is the volume of a cube with dimensions that are each
7.2 feet long?
a. 51.84 feet b. 373.25 feet c 2686.39 feet
4. What is the volume of a cube with dimensions that are each
4.5 yards long?
a. 20.25 yards' b. 67.29 yards' C 91.13 yards
Question 1:
For this case we have that by definition, the volume of a prism is given by:
[tex]V = a * b * c[/tex]
Where:
a: It is the long
b: It is the width
c: It is the height
According to the data we have:
[tex]a = 18m\\b = 9m\\c = 6m[/tex]
Substituting:
[tex]V = 18 * 9 * 6\\V = 972[/tex]
Thus, the volume of the building is[tex]972 \m ^ 3[/tex]
Answer:
Option B
Question 2:
For this case we have that by definition, the volume of a prism is given by:
[tex]V = a * b * c[/tex]
Where:
a: It's the long
b: It is the width
c: It is the height
According to the data we have:
[tex]a = 26in\\b = 14in\\c = 18in[/tex]
Substituting:
[tex]V = 26 * 14 * 18\\V = 6552[/tex]
Thus, the volume of the tank is [tex]6552 \in ^ 3[/tex]
Answer:
Option A
Question 3:
For this case we have that by definition, the volume of a cube is given by:
[tex]V = l ^ 3[/tex]
Where:
l: It's the side of the cube
According to the data we have that the cube side is 7.2ft.
Substituting we have:
[tex]V = (7.2) ^ 3\\V = 373.25[/tex]
Rounding off we have that the volume of the cube is [tex]373.25 \ ft ^ 3[/tex]
Answer:
Option B
Question 4:
For this case we have that by definition, the volume of a cube is given by the following formula:
[tex]V = l ^ 3[/tex]
Where:
l: It's the side of the cube
According to the data we have that the cube side is 4.5 yards.
Substituting we have:
[tex]V = (4.5) ^ 3\\V = 91.125[/tex]
Rounding off we have the cube volume is[tex]91.13 \ yd ^ 3[/tex]
Answer:
Option C
Consider the expressions $\frac{4x^3+2x^2+6x+7}{2x+1}$ and $2x^2+3+\frac4{2x+1}.$
a) Show that these expressions are equal when $x=10.$
b) Explain why these expressions are not equal when $x=-\dfrac12.$
c) Show that these expressions are equal for all $x$ other than $-\dfrac12.$
In parts (a) and (c), begin by explaining what your strategy for solving will be.
Answer:
Part a) In order to solve the equation, we will simplify both of them. Once we do that, if we notice, they are the same equation, so therefore, if x=10, then we will be able to match the equation.
Part b) The reason the expressions are not equal when x=-1/2 is because if we see, that in the second expression, 2x^2, if x=-1/2, then the answer becomes -1, and we eventually end up with 1.
Part c) As we can see, the expressions are the same, so if x is any number other than -1/2, then we will be able to show that the expressions are equal.
Step-by-step explanation:
You can simplify the explanation, also if you play ROBLOX, follow me at my username: BAMUNJI, or 24KBlingYT
By the way, this question is from the Art of Problem Solving, and you should not just copy answers or copy of them.
Part (a) We shall simplify both of them in order to find the solution to the equation.
Once we've done that, we'll see that they have the same equation, so we can match the equation if x=10.Part (b) When x=-1/2, the answers to the second expression, 2x2, change to -1, and we eventually arrive in 1.
This is why the expressions are not equal at this point.Part (c) As we can see, the expressions are identical, thus we can demonstrate that they are equal if x is any number other than -1/2.
What is an expression in maths?An expression is a set of terms combined using the operations +, – , x or , for example 4 x − 3 or x 2 – x y + 17 . An equation states that two expressions are equal in value, for example 4 b − 2 = 6 . An identity is a statement that is true no matter what values are chosen, for example 4 a × a 2 = 4 a 3 .What is a math expression example?An expression is a set of numbers or variables combined using the operations +, –, × or ÷. Arithmetic expression that contains only numbers and mathematical operators and algebraic expression that contains variables, numbers and mathematical operators.How do you find expressions?To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
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Which expression is equal too |-12| -|3|
Answer:
9
Step-by-step explanation:
12 - 3 = 9
Hello :D
Answer:
[tex]\boxed{9}\checkmark[/tex]
The answer has a positive sign.
Step-by-step explanation:
Order of operations
PEMDAS
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
Left to right
[tex]|-12|-|3|[/tex]
[tex]12-3=9[/tex]
[tex]\boxed{9}[/tex], which is our answer.
Hope this helps! :D
Carrie spent 1/4 of her allowance on a shirt 1/3 of her allowance Oscar and eight dollars on the bill if she spent 22 in all how much was Carrie’s allowance
Answer: $24
Step-by-step explanation:
Let x represent the amount of Carrie's allowance.
[tex]\dfrac{1}{4}x+\dfrac{1}{3}x+8=22\\\\\\\dfrac{1}{4}x+\dfrac{1}{3}x=14\\\\\\(12)\dfrac{1}{4}x+(12)\dfrac{1}{3}x=(12)14\\\\\\3x + 4x = (12)14\\\\\\7x=(12)14\\\\\\x=(12)2\\\\\\x=24[/tex]
anisha is graphing the function f(x) = 25(3/5)x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph? (2, 9) (2, –10) (2, 14) (2, 5)
Answer:
(2, 9)
Step-by-step explanation:
We've been given the exponential function;
f(x) = 25(3/5)^x
We need to determine the value of f(x) when x = 2, that is;
f(2) = 25(3/5)^2
Using a calculator we obtain
f(2) = 9
Thus the next point she plots on the graph will be (2, 9)
1/2x = -40
What is x?
Answer:
x = -80
Explanation
-40 divided by 1/2 is -80
Can you help with this please?
[tex]2n \times n = 12 + n[/tex]
Answer:
2n² = 12 + n
2n² - n - 12 = 0
[tex]n = \frac{1 ± \sqrt{ {( - 1)}^{2} - 4(2)( - 12)} }{2(2)} [/tex]
[tex]n = \frac{1 ± \sqrt{97} }{4} [/tex]
Find the product.
(a^2-b)(5a^2+6b)
Answer:
[tex]( {a}^{2} - b)(5 {a}^{2} + 6b) \\ 5 {a}^{4} + 6 {a}^{2} b - 5 {a}^{2} b - 6 {b}^{2} \\ = 5 {a}^{4} + {a}^{2} b - 6 {b}^{2} [/tex]
Using the given points and line, determine the slope of the line. (-3, 0) and (2, 7) slope = -7/5
slope = -5/7
slope = 5/7
slope = 7/5
Answer:
Slope= 7/5
Step-by-step explanation:
The slope of a line is determined as a ratio of the change in y to the change in x.
Slope=Δy/Δx
Δy=y₂-y₁
Δx=x₂-x₁
Therefore we can use the the x and y coordinates from the points given, (-3,0) and (2,7) to calculate the slope.
m= (7-0)/(2-⁻3)
Slope= 7/5
When a negative number is subtracted from a number it the operation sign changes to addition.
Answer: Last option
[tex]slope=\frac{7}{5}[/tex]
Step-by-step explanation:
The equation to find the slope m of a line is:
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
Where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are two points through which the line passes
In this case the points are: (-3, 0) and (2, 7)
Therefore the slope is:
[tex]m=\frac{7-0}{2-(-3)}[/tex]
[tex]m=\frac{7}{2+3}[/tex]
[tex]m=\frac{7}{5}[/tex]
The answer is the last option
a sequence is a function whose domain is the set of _____ numbers
a sequence is a function whose domain is the set of natural numbers.
natural numbers are all the negative and positive integers
A sequence exists as a function whose domain is the set of natural numbers.
SequenceA sequence exists as a function whose domain is the set of natural numbers or a subset of the natural numbers. Usually use the symbol a to describe a sequence, where n is a natural number and a stands for the value of the function on n. Intuitively, a sequence exists just as an ordered list of (possibly infinitely many) numbers.
Natural numbers stand for the numbers that exist used for counting and are a part of real numbers.A sequence exists as an enumerated collection of objects in which repetitions are permitted and order matters.To learn more about Sequence refer to:
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Use the elimination method to find the solution to the system of equations. 2x - 3y = -9 -x + 3y = 6
Answer:
x = -3, y = 1 → (-3, 1)Step-by-step explanation:
[tex]\underline{+\left\{\begin{array}{ccc}2x-3y=-9\\-x+3y=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad x=-3\\\\\text{put the value of x to the second equation:}\\\\-(-3)+3y=6\\3+3y=6\qquad\text{subtract 3 from both sides}\\3y=3\qquad\text{divide both sides by 3}\\y=1[/tex]
Factor the polynomial: -x^3-3x^2-4x
Answer:
-x(x^2 +3x +4)
Step-by-step explanation:
-x^3-3x^2-4x
Factor out a -x
-x(x^2 +3x +4)
We cannot factor inside the parentheses, so this is complete
Cam bought some used books for $4.95. He paid $0.50 each for some books and $0.35 each for the others. He bought fewer than 8 books at each price. How many books did Cam buy?
Answer:
cam bought 12 books 7 at $0.35 and 5 at $0.50
Step-by-step explanation:
What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?
Answer:(4,0) and (-9,0)
Step-by-step explanation:
what is -4/3 in a fraction that isn't improper
Answer:
-1 1/3
Step-by-step explanation:
To change and improper fraction (larger number in the numerator than the denominator) to a mixed number
divide the numerator by the denominator
4/3 =1 with 1 left over
Take the leftovers and put it over the denominator
1/3
The mixed number is 1 1/3
Since the number was negative, we put the negative out front
-1 1/3
Match each equation to the value of a that makes the equation true.
2a + 3(a + 1) = 8
2
4
0
1
3
Answer:
a=1
Step-by-step explanation:
2a + 3(a + 1) = 8
Distribute
2a +3a +3 = 8
Combine like terms
5a +3 =8
Subtract 3 from each side
5a+3-3=8-3
5a = 5
Divide by 5
5a/5 = 5/5
a=1
The width of rectangular field is x metres.
The length of the field is 30m longer than the width.
The perimeter of the field is less than 500m.
The area of the field is greater than 4000m^2
By writing suitable inequalities, find the possible values of x
Answer:
Possible values of x are 50 < x < 110.
Step-by-step explanation:
Consider the perimeter of the field:
2x + 2(x + 30) < 500
2x + 2x + 60 < 500
4x < 440
x < 110.
Consider the area of the field:
x(x + 30 ) > 4000
x^2 + 30x - 4000 > 0
(x - 50)(x + 80) > 0
The critical values are x = -80 and 50.
As x is a width it must be positive so x > 50.
7 ft=____ inches show work
Answer:7x12= 84
Step-by-step explanation:
7x10=70
7x2=14
70+14=84
have a good day
There are 84 inches in 7 feet.
Given that we need to determine that how many feet in 84 inches.
To convert inches to feet, you need to divide the number of inches by the number of inches in a foot.
There are 12 inches in a foot.
Given that you have 84 inches, you can divide this value by 12 to find the equivalent in feet:
84 inches ÷ 12 inches/foot = 7 feet
So, 84 inches is equal to 7 feet.
Hence there are 84 inches in 7 feet.
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Consider the following proportion:
2/7 =
12x
Use cross products to write the equation: 2x = 84.
What is the value of x?
Answer:
x=42
Step-by-step explanation:
2x42
Answer:
42
Step-by-step explanation:
tell me if i am wrong by reporting
Select the correct answer. Will is at a shirt sale where he can buy one and get a second one for 40 percent off. He wants to buy two shirts priced at $29 each. How much will he pay? cost after discount = (2 × list price) – (list price × discount percentage) A. $34.80 B. $40.60 C. $46.40
Answer:
C
Step-by-step explanation:
Givens
Original cost = 29 dollars.
Discount = 40% on the second shirt.
Formula
cost after discount = (2 × list price) – (list price × discount percentage)
Solution
Cost after discount = 2 * 29 - 29*40/100
Cost after discount = 58 - 11.60
Cost after discount = 46.40
Suppose cluster sampling were being used to survey MyBook users, who
amount to 28% of the population of the United States. Based on the table
below, which city would be considered the best cluster?
Denver 27%
Honolulu 9%
Miami 16%
Philadelphia 46%
A. Philadelphia
B. Miami
C. Denver
D. Honolulu
Answer:
The best cluster would be Philadelphia which percentage of 27% is nearly close to 28% of the whole united states population percentage.
Step-by-step explanation:
The correct option for the city which would be considered as the best cluster is B. Miami, 16% of the population are MyBook users.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
Now given that,
Amount of population that are MyBook users = 28%
Thus,
Amount of population that do not uses MyBook = 100% - 28% = 72%
Thus, Philaldephia and Denver cannot be percentage of the population who are MyBook users.
Thus, the correct option for the city which would be considered as the best cluster is B. Miami, 16% of the population are MyBook users.
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Determine the factors of x2 − 12x − 20.
Answer:
(x-10)(x-2)
Formula:
a^{2} - b^{2} = (a-b)(a+b)
Explanation:
(x-6)^2-4^2
Then we can simplify to, (x-6-4)(x-6+4)
Which comes to your answer, (x-10)(x-2)
Answer:
Step-by-step explanation:
x² − 12x − 20 = 0
a = 1; b = (-12); c = (-20)
b²-4ac = (-12)² - 4 * 1 * (-20) = 144 + 80 = 224
√b²-4ac = √ 224 = √ 2*2*2*2*2*7 = 2*2*√(2*7) = 4√14
delta = -b ± √b²-4ac / 2a
= -(-12) ± 4√14
2 * 1
= (12 ± 4√14)/2
= 2 ( 6 ± 2√14) / 2
= 6 ± 2√14
x = 6 + 2√14; x = 6 - 2√14
For the function, f(x) = -5x 2, find f(-4).
Answer:
The value of f(-4) = -80
Step-by-step explanation:
It is given that, f(x) = -5x²
To find the value f(-4)
Let f(x) = -5x²
To find the value of f(-4), substitute -4 instead of x
f(-4) = -5 * (-4)²
= -5 * 16 [ since (-4)² = -4 * -4 = 16 ]
= -80
Therefore the value of f(-4) = -80
If 5x−2y=10 and x= 4y/5 , then y =
(A) 1 (B) 4 (C) 5 (D) 7 (E) 9
Answer:
C
Step-by-step explanation:
4y-2y=10
y=5
the difference between maggies age and terrance age is 3. if x represents maggies age and y represents terrance age, make a table of possible values for x and y. graph the ordered pair and describe the graph
Step-by-step explanation:
There can be two situations
1. When maggie is older
The equation becomes x = y + 3
It can also be expressed as y = x - 3
2. When maggie is younger
The equation becomes y = x + 3
Table of possible values
1. x y 2. x y
5 2 2 5
6 3 3 6
Answer:
The required equation is [tex]|y-x|=3[/tex]. If maggies is elder, then [tex]y_1=x-3[/tex] and if maggies is younger, then [tex]y_2=x+3[/tex].
Step-by-step explanation:
Let the x represents maggies age and y represents terrance age, make a table of possible values for x and y.
It is given that the difference between maggies age and terrance age is 3.
It means
[tex]|y-x|=3[/tex]
On simplification, we get
[tex]y-x=\pm 3[/tex]
[tex]y=x\pm 3[/tex]
Case 1: If maggies is elder.
[tex]y_1=x-3[/tex]
Case 2: If maggies is younger.
[tex]y_2=x+3[/tex]
The table of values is
x y₁ y₂
-3 -6 0
0 -3 3
3 0 6
The graph of both functions are shown below.