Answer:
5/18
Step-by-step explanation:
conditional probability formula:
A|B (a given b) = (A∩B)/(B)
so
Moderate|college (moderate given college)= (moderate∩college)/college
moderate∩college= 15
college= 11+15+28= 54
15/54= 5/18
decide which point lies on the line that is parallel to AB and passes through point P
Draw a graph of the linear equations x – 4y + 10 = 0 and x + 4y – 10 = 0. Find the coordinates of the vertices of the triangle formed by these lines along with the X-axis
Step-by-step explanation:
x-14y=0
x=0/14y
x=14y
14y
find the quotient of this
Answer:
3.02 is the answer for this question if the answer is correct plz mark me as brainliest
Answer:
3.02
Step-by-step explanation:
51.34 ÷ 17 = 3.02
PLEASE HELP IMAGE IS BELOW!!
Answer:
Number of small boxes shipped = 7
Number of large boxes shipped = 15
Step-by-step explanation:
Let the number of small boxes = s
And the number of large boxes = l
Weight of small box = 25 pound
Weight of the large box = 50 pounds
Total weight of the shipment = 925 pounds
Therefore, equation for the weight of shipment will be,
25s + 50l = 925
s + 2l = 37 ----- (1)
Total number of boxes shipped = 22 boxes
Therefore, equation will be,
s + l = 22 ------(2)
Subtract equation (2) from equation (1)
(s + 2l) - (s + l) = 37 -22
l = 15
From equation (2)
s + 15 = 22
s = 7
Therefore, number of small boxes shipped = 7
Number of large boxes shipped = 15
Given that HCF (306,657) = 9, find LCM (306,657)
Answer:
The LCM of 306 and 657 is 22338
Step-by-step explanation:
We know that
HCF (a, b) × LCM (a, b) = a × b
⇒ HCF (306, 657) x LCM (306, 657) = 306 × 657
⇒ 9 × LCM = 306 × 657
⇒ LCM (306, 657) = 306 × 657 / 9
= 201042 / 9
∴ LCM = 22338
Thus, the LCM of 306 and 657 is 22338.
The volume of a cube is 270cm cubed. Work out the length of its side rounded to 1 DP
Answer:
a ≈ 6.5 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify
V = 270 cm³
Step 2: Solve for a
Substitute in variables [Volume of a Cube Formula]: 270 cm³ = a³[Equality Property] Cube root both sides: 6.4633 cm = aRewrite: a = 6.4633 cmRound: a ≈ 6.5 cmAnswer:
The length of it's side is 6.5 cm.
Step-by-step explanation:
Here's er have given that the Volume of cube is 270 cm³. And we have to find the length of its side rounded to 1DP.
To find the length of its side we apply the formula ; Volume of cube and then simplify .
Volume of cube = ( a )³
Where , a is the length of side and Volume of cube have given in the question which is 270cm³ .plug the values
270 cm ³ = a³
Taking cube root of both side
[tex] \small \sf \sqrt[3]{270 \: cm {}^{3} } = \sqrt[3]{a {}^{3} } [/tex]
6.4633 cm = a
Rewrite
a = 6.4633 cm
Round nearest to 1DP
a ≈ 6.5 cm
Hence , Length of it's side is 6.5 cm.
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.
What expression represents the profit?
27x – 650
27x + 390
33x – 650
33x + 390
The expression which represents the profit is 33x + 390, the correct option is D.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
The polynomial= 2x3 + 30x – 130
The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.
Now,
To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:
profit = revenue - cost
profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)
profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520
profit = 33x + 390
Therefore, the expression will be 33x + 390.
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If Devon took 20 min to drive 24 km, what was his R.O.C.? Answer in decimals.
Answer:
1.2 km/min
Step-by-step explanation:
ROC? rate of change? if not rate of change than my answer may not be correct
24km/20min = 1.2 km/min
24km/20min * 60min/1 hr= (24*60)/20=120 km/hr
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = - 16t^2 + 48t where t equals the time in seconds and the h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? Help please!!!
Answer:
x = 3/2
The axis of symmetry is located at the vertex,
which is the also the highest point in this problem...
the x component of the vertex can be calculated as -b/2a = -48/-32 = 24/16 = 6/4 = 3/2
x = 3/2
Step-by-step explanation:
Please solve 5 and 6 only
Answer:
5. 80%
6.1.05 kilograms
Step-by-step explanation:
5. Plugging in the values into the formula, we get:
% difference = |60000 - 140000(60000 + 140000)/2| × 100% =
|60000-140000200000 / 2| × 100% =
|-80000100000| × 100% =
80000100000 × 100% =
0.8 × 100% =
80%
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Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
A. equal to
B. less than
C. greater than
Answer:
Option C.
Step-by-step explanation:
Answer:
C. greater than
Step-by-step explanation:
Since 8/7 is greater than 1
multiply it by 12 will result in a larger number.
Solve the system by substitution.
y = -5x
y= -7x – 14
Answer:
x = -7 y = 35
Step-by-step explanation:
-5x = -7x - 14
2x = -14
x = -7
y = -5(-7)
y = 35
Lily's car has a fuel efficiency of 8 liters per 100 kilometers. What is the fuel efficiency of Lily's car in kilometers per liter? km L
Answer:
The fuel efficiency of Lily's car in kilometers per liter is 12.5 km/litre.
Step-by-step explanation:
complete the table of values for y=2x+3
Convert to polar form
Please click on the above picture and view the full answer.
Step-by-step explanation:
Hope it helps you.^_^
a trapezoid has parallel sides of length 26 mm and 44 mm. its other sides measure 10 mm and 17 mm. what is the length of the bimedian joining the two non parallel sides?
Answer:
35 mm.
Step-by-step explanation:
That would be (26 + 44)/2
= 70/2
= 35 mm.
Which expression is equivalent to log Subscript 5 Baseline (StartFraction x Over 4 EndFraction) squared?
Answer:
[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]
Step-by-step explanation:
Given
[tex]\log_5(\frac{x}{4})^2[/tex]
Required
The equivalent expression
To do this, we apply the following law of indices:
[tex]\log_a(b)^c = c\log_a(b)[/tex]
So, we have:
[tex]\log_5(\frac{x}{4})^2 = 2\log_5(\frac{x}{4})[/tex]
To further simplify:
[tex]\log(\frac{a}{b}) = \log(a) - \log(b)[/tex]
So, we have:
[tex]\log_5(\frac{x}{4})^2 = 2(\log_5(x) - \log_5(4))[/tex]
Open brackets
[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]
Answer:
C.
Explanation:
Edge 2021
Find the trigonometric ratio. Write your answer as a fraction in the simplest form
Answer:
sinB = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]
The Trigonometric ratios is 12/13
What is Trigonometry?The branch of mathematics concerned with specific functions of angles and their application to calculations.
We have,
H= 13, B= 5 and P=12
So,
sin B= Perpendicular/ Hypotenuse
= 12/13
hence, sin B= 12/13
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A number is divided in the ratio 7 : 5. if the second part is 150, find the number . ((answer with solution and explaination ))
Answer:
1500 because if you mutiply by 35 u will get it
Step-by-step explanation:
Answer:
ratio of required answer
7×(:)5×also given
=)5×=150×=¹⁵⁰=305
now putting the value of × in another give
Required mum
7x+5x
12x
2(30)=360Step-by-step explanation:
HOPE IT'S HELP
The solutions of x^2=16x-28 are
Answer:
the solutions of x^2=16x-28 are
2) 2 and 14
in a sale, normal prices are reduced by 10%
nathalie bought a pair of shoes in the sale for £54
what was the original price of the shoes
in a sale, normal prices are reduced by 10%
nathalie bought a pair of shoes in the sale for £54
what was the original price of the shoes
Answer[tex]x = 60[/tex]
Explanation
[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]
[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]
convert decimal to fraction: x= 54 / 9 / 10
[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]
[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]
[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]
[tex] \sf \: common \: factor : x = 6 \times 10[/tex]
[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]
[tex] \sf{ \boxed{answer : x = 60}}[/tex]
simplify 5x-26y+7x+32y
What is the height of the tower? Round to the nearest tenth.
How tall is the tower?
Step-by-step explanation:
call the height of the tower x
we have tan30°=x:200 so we can find x
express as a single faction
[tex] \frac{x} {4} + \frac{x}{4} [/tex]
[tex] \: \: \: \: \: \: \huge \rm{answer :} \: { \boxed{ \rm\frac{x}{2} }}[/tex]
[tex] \huge \blue{ \boxed{ \pink{\boxed{ \blue{\rm{armed} \: \pink{account}}}}}}[/tex]
[tex] \huge \rm\frac{x} {4} + \frac{x}{4} \\ \\ \huge \rm\frac{x + x}{4} \\ \\ \huge \rm \frac{2x}{4} \\ \\ \huge \blue{ \boxed{ \pink{ \rm \: \frac{x}{2} \: }}}[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
I hope you understood!✏
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]
a) vẽ đồ thị hàm số y=2x-3(d1)
b) tìm toạ độ giao điểm B của (d1) với (P):y=x^2
c)tìm m để đường thẳng (d2):y=(m-1)x-m-3 đi qua B
Answer:
Step-by-step explanation:
I need helpppppp cause I’ll make ur bra list of however u spell it
Answer:
DBH
Step-by-step explanation:
#1
Initial Price = 100% = 18
Discount = 15% = x
0.15 ( 18 ) = 0.15 * 18 = 2.7
Discount = $2.7 or $2.70
Letter = D
#2
Initial Price = 100% = 450
Markup = 20% = x
0.20 ( 450 ) = 1/5 of 450 = 90
Markup = $90
Letter = B
#3
Initial Payment = 100% = 37.60
Tip = 15% = x
0.15 ( 37.60 ) = 0.15 * 37.60 = 5.64
Tip = $5.64
Letter = H
Your Code = DBH
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1. What is the value of the digit 7 in the number 176 354?
Answer:
7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four
Answer:
tens of thousands
Step-by-step explanation:
Select the two values of x that are roots of this equation. x2 + 3x - 3 = 0
A. X- 2
B. X = -3 +721 2
C. x. -3-1
D. x. -3-17
Answer:
B and D
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
Answer:
22.18 = x
Step-by-step explanation:
a^2 + (b)^2 = (x/2)^2
a = sqrt(74)
b = 7
x/2 = ?
(74)[^1/2]^2 = 74
b^2 = 7^2 = 49
74 + 49 = (x/2)^2 Substitute into a^2 + b^2 = c^2
123 = (x/2)^2 Combine like terms
(123^0.5) = x/2 Take the square root of both sides.
11.09 = x/2 Multiply both sides by 2
11.09*2 = x
22.18 = x The full length of the base of the triangle is 22.18
Answer: C
Step-by-step explanation: We only need to find the value of one of the x so just use Pythagorean theorem but simplified to do it in one step which is sqrt(4^2+6^2) which gives us sqrt(52).
Select the graph that would represent the best presentation of the solution set.
|xl > 5