Answer:
[tex]\dfrac{118}{135}[/tex]
Step-by-step explanation:
Total Number of Students =135
Number who took all three subjects=5
Number who took PE and BIO=10
Number who took PE and ENG=15
Number who took BIO and ENG=7
Therefore:
Number who took PE and BIO only=10-5=5Number who took PE and ENG only=15-5=10Number who took BIO and ENG only =7 -5=2Total Number of students who took exactly two subjects=5+10+2=17
Therefore:
Number of students who did not take exactly two subjects=135-17=118
The probability that a randomly-chosen student from this group did not take exactly two subjects
[tex]=\dfrac{\text{Number of students who did not take exactly two subjects}}{\text{Total Number of students }} \\=\dfrac{118}{135}[/tex]
what's the appropriate domain
please help
Write as a product of two polynomials.
a(b–c)+d(c–b)
Answer:
(b - c)(a - d)
Step-by-step explanation:
Given
a(b - c) + d(c - b) ← factor out - 1
= a(b - c) - d(b - c) ← factor out (b - c) from each term
= (b - c)(a - d)
Part 1:"The students in art class are designing a stained-glass window to hang in the school entryway. The window will be 3 feet tall and 4 feet wide. They have raised $100 for the project. The colored glass costs $5 per square foot and the clear glass costs $2 per square foot. The material they need to join the pieces of glass together costs 10 cents per foot and the frame around the window costs $4 per foot.
Do they have enough money to cover the cost of making the window?" (PART 1 IS DONE)
Part 2:"A local community member sees the school’s stained glass window and really likes the design. They ask the students to create a larger copy of the window using a scale factor of 3 (9 feet tall and 12 feet wide). Would $450 be enough to buy the materials for the larger window?"
Part 3:"Make your own stained glass window design that could be made for less than $450. Show your thinking."
Answer:
PART 2:
Total cost is 1198.8
Colored glass=
540/ 108
clear glass=
216/108
materials=
10.8/108
Frame=
432/108
PART 3
The window would be 4.5 ft tall and 6 ft wide
Colored glass =
135/27
clear glass =
54/27
frame =
108/27
materials=
2.7/27
ADD
135+108+54+2.7= 299.7
Answer:
p2
Step-by-step explanation:
The length of a cell phone is 8 centimeters to the
nearest centimeter and 81 millimeters to the nearest
millimeter. Which measurement is more precise? PLS HELP BEST ANSWER GETS BRAINLESST
Answer:
81 mm is more precise
Step-by-step explanation:
millimeters are smaller than cm
8 cm * 10 mm/1 cm = 80 mm
compared to 81 mm
81 mm is more precise
Solve the inequality.
11 + x > 15
x > 6
x > 4
x < 6
x < –4
Answer:
uhhh
Step-by-step explanation:
Answer:
x > 4
11 + x > 15
-11. -11
x >4
Need help with maths
Answer:
Multiples of 9 are 9,18,27,36,45.
Multiples of 32 are 32,64,96,128,160
Prime numbers are 2, 3, 5, 7, 11,
Hope this helped
Answer:
a) 9, 18, 27, 36, 45 b) 1, 2, 4, 8, 16, 32 c) 2, 3, 5, 7, 11
Step-by-step explanation:
a) To find the first five factors, you just need to multiply nine by 1, 2, 3, 4, and 5 and there are your answers :)
b) 1x32=32, 2x16=32, and 4x8=32, but none other whole numbers can multiply to get 32. So those are the factors of 32.
c) Prime numbers are ones who's only factors are 1 and themselves. 2, 3, 5, 7, and 11 are the first of the list because you will not find any other factors.
What is the product?
(4x)(-3x^8) (-7x^3)
-84x1 12
-84x24
O 84x12
84724
Answer:
the answer is 84x^12
Step-by-step explanation:
have a lovely day
The product of the given expressions will be 84x¹²
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, 4x(-3x⁸)(-7x³) we need to find the product of the same,
So, the product is =
4x(-3x⁸)(-7x³)
= 4x × (-3x⁸) × (-7x³)
= 4 · x · (-3) · x⁸ · (-7) · x³
= 4·21·x⁽¹⁺⁸⁺³⁾
= 84x¹²
Hence, the product of the given expressions will be 84x¹²
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The function v(r) 4/3 r^3 can be used to find the volume of air inside a basketball given its radius. What does V(r)
represent?
the radius of the basketball when the volume is V
the volume of the basketball when the radius is r
the volume of the basketball when the radius is V
the radius of the basketball when the volume is r
Answer:
the volume of the basketball when the radius is r
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
on edge took the test
I need the answer please help
Answer:
2k + 5
Step-by-step explanation
did it on e2020
A sector with a radius of 15 cm has a central angle measure of 8pie/5
What is the area of the sector?
Answer:
The area of the sector is [tex]180\pi \ cm^2[/tex].
Step-by-step explanation:
We have,
Radius of circle is 15 cm
Central angle is [tex]\dfrac{8\pi}{5}\ \text{radian}[/tex]
It is required to find the area of the sector. The formula used to find the area of sector is given by :
[tex]A=\dfrac{1}{2}r^2\theta[/tex]
Plugging all the values in above formula as :
[tex]A=\dfrac{1}{2}\times 15^2\times \dfrac{8\pi}{5}\\A=180\pi \ cm^2[/tex]
So, the area of the sector is [tex]180\pi \ cm^2[/tex].
Mr. Marlon buys these tickets for his family to visit the water park. the total cost of is $210. write and solve an equation to find the cost of each ticket .
Answer:
$52.50
Step-by-step explanation:
there are 4 tickets including him it costed him 210 for all 4 of them.
I need it ASAP;
1. WHICH OF THE FOLLOWING IS NOT A METHOD OF COLLECTION OF DATA
(A) TELEPHONE (B) INTERVIEW
(C) OBSERVATION (D) TALLY
2. ONE OF THE FOLLOWING IS NOT A MEANS OF DATA PRESENTATION
(A) CIRCLE DIAGRAM (B) BAR CHART
(C) MEAN GRAPH (D) LINE GRAPH
3. IF REPRESENT N2,500 HOW MUCH IS THE VALUE OF
(A) N15,000 (B) N 17,500
(C) N20,000 (D) N22,000
4. IN A LINE GRAPH WHICH OF THE FOLLOWING CORRESPONDS TO THE FREQUENCY OF EACH ITEM?
(A) THE WIDTH OF EACH LINE (B) THE SIZE OF EACH LINE
(C) THE SPACE BETWEEN LIN (D) THE LENGTH OF EACH LINE
5. IN DRAWING A PIE CHART, WHICH OF THE FOLLOWING FEATURES IS THE MOST IMPORTANT? (A) SECTORIAL ANGLE OF THE CIRCLE (B) RADIUS OF THE CIRCLE
(C) PERIMETER OF EACH SECTOR OF THE CIRCLE (D) CIRCUMFERENCE OF THE CIRCLE.
Answer:
a
c
c
d
d
Step-by-step explanation:
A chemist mixes different concentrations of
perfume using three scents the company already
produces. Scents A, B. and C have different
concentrations of rose oil. The results of three
different trials are listed in the table. The result is
the percent of rose oil by volume for each trial.
A
B
4 OZ
2 oz
4 OZ
1 oz
C
4 OZ
4 OZ
2oz
2 oz
7 oz
Result
2205
2706
23.50
How many total ounces of perfume are in the result
in each trial (each row?
Answer:
10 oz
Step-by-step explanation:
edge
The total ounces of perfume in trials 1, 2, and 3 are 7.8 oz, 7.3 oz, and 7.65 oz.
Given to us,
For Trial 1,
A = 2 oz
B = 4 oz
C = 4 oz
Percentage of rose oil = 22%
weight of trail 1 = A+ B+ C = 2+ 4+ 4 = 10 oz.
Weight of rose oil in trial 1 = weight of trail 1 x Percentage of rose oil in 1
= 10 oz x 22% = 2.2 oz
total ounces of perfume in trial 1
= weight of trail - Weight of rose oil in trial 1
= 10 - 2.2 = 7.8 oz
For Trial 2,
A = 4 oz
B = 2 oz
C = 4 oz
Percentage of rose oil = 27%
Total weight of trail 2 = A+ B+ C = 2+ 4+ 4 = 10 oz.
Weight of rose oil in trial2 = weight of trail 2 x Percentage of rose oil in 2
= 10 oz x 27% = 2.7 oz
total ounces of perfume in trial 2
= weight of trial 2 - Weight of rose oil in trial 2
= 10 - 2.7 = 7.3 oz
For Trial 3,
A = 1 oz
B = 7 oz
C = 2 oz
Percentage of rose oil = 23.50%
Total weight of trail 3 = A+ B+ C = 2+ 4+ 4 = 10 oz.
Weight of rose oil in trial 3= weight of trail 3 x Percentage of rose oil in 3
= 10 oz x 23.50% = 2.350 oz
total ounces of perfume in trial 3
= weight of trail - Weight of rose oil in trial 3
= 10 - 2.2 = 7.8 oz
Hence, The total ounces of perfume in trials 1, 2, and 3 are 7.8 oz, 7.3 oz, and 7.65 oz.
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what is 3 times a times 2 times b
So the right answer is 6ab
look at the attached picture
hope it will help you
Good luck on your assignment
Find the missing length, when you know the perimeter. 9m + 9m + ? + ? = 42m
Answer:
MISSING LENGTH IS 12 M
Step-by-step explanation:
9+9+ ? + ? = 42m
18+ X + X = 42m
2X=42-18
2X=24
X=12
Answer:
The missing length is 12 meters.
Step-by-step explanation:
9+9+x+x=42
Subtract 9 from both sides
9+x+x=33
Subtract 9 from both sides
x+x=24
2x=24
Divide both sides by 2
x=12
The missing length is 12 meters.
Solve for x: 1 < x + 3 < 4
Answer:
−2<x<1
Step-by-step explanation:
Let's solve your inequality step-by-step.
1<x+3<4
1+−3<x+3+−3<4+−3(Add -3 to all parts)
−2<x<1
Answer: −2<x<1
Hope this helps.
1) Tanya is buying edging for a triangular flower garden she plans to build in her backyard. If the lengths of the three pieces of edging that she purchases are 13 feet, 10 feet, and 7 feet, will the flower garden be in the shape of a right triangle ?
Answer:
The Flower Garden is not in the shape of a right Δ
Step-by-step explanation:
~ To prove that this garden is in the shape of a right triangle, it can be done so through contradiction ~
Pythagorean Theorem is applied to a right triangle, so we can say that the two legs are 10 and 7 feet, the hypotenuse being 13, knowing it is the longest side;
a^2 + b^2 = c^2,
10^2 + 7^2 = 13^2,
100 + 49 = 169,
149 ≠ 169,
So the Flower Garden will not be in the shape of a right Δ
Use trigonometric functions and/or Pythagorean Theorem to find the missing variable round answer to 2 decimal place (hundredths)
can someone help me please
Answer:
B
Step-by-step explanation:
It is a complacted exsplanton
Brendan read 4 books in 4 weeks, reading the same number of books each month, and in each week of the month. If Alicia reads 2 books each week, how many more
books does Alicia read each week than Brendan?
1.1
2.2
3.4
4.12
pls help
Answer:
Alicia reads 1 more book than brendan each week.
Plzzzz make me BRAINLIEST PLSSSSSSSS plssssssssss
Which measurement would Lan need to know when he buys flooring for his kitch
o width of the kitchen
o height of the kitchen walls
o perimeter of the kitchen
O area of the kitchen
Pierre is rowing his kayak on a lake. He moves miles in 18 minutes. At this rate, how far would he move in 30 minutes?
Answer:
Step-by-step explanation:
times the number so 18 times 30
Answer: 2 1/12
Step-by-step explanation: Study Island
of 55 cars making up a freight train, 37 are boxcars. what fraction of the cars are not boxcars?
Answer:
18/55
Step-by-step explanation:
Write an equation of the line in slope-intercept form. The points are (0,1) and (2,-5)
Your answer is y = -3x + 1
To find the equation of the line we need both the slope and where it intercepts the y-axis. We are given where it intercepts the y-axis because they tell us it goes through the point (0, 1) and this is a point where x = 0, so it must be on the y-axis.
The equation for finding the slope of a line given two points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] where [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are points on the line. Using this, we can substitute in the points we're given and get:
(-5 - 1)/(2 - 0) = -6/2 = -3
Therefore our slope is -3 and our intercept is 1, so the final answer is y = -3x + 1
I hope this helps!
The population of a town can be modeled using the formula P=20,000e^0.02t , where t is the number of years after 2012 and P is the town's population. Which of the following equations can be used to find the number of years after 2012 that the population will double to 40,000?
Answer:
t= ((ln*2)/(0.02)
Step-by-step explanation:
plug 40000 in for P and solve for t
40000=20000e^0.02t
-divide both sides by 20000: 2=e^0.02t
-in order to cancel out e, multiply both sides by the natural log (ln)
ln(2)=0.02t
-divide 0.02 on both sides to get t by its self
Answer: t = ((ln(2)/(0.02))
Hannah is designing containers to hold 300 cm3 of juice. Which container is more efficient?
1st container: witdh9.33cm Lenght 3.2cm
2nd container: witdh 20.5cm lenght 6.5cm and on the side 3.25cm
The cylinder has a........A)Smaller surface area B)bigger C)equal
And will cost.....A)Less to produce B)more C)The same
Answer:
a) 2nd container is more efficient and contains the elements for a container.
b) The cylinder has a........A)Smaller surface area B)bigger C)equal
And will cost.....A)Less to produce B)more C)The same
Step-by-step explanation:
a) The 2nd container has these elements:
Width 20.5cm
Length 6.5cm
side 3.25cm
So, the volume in cubic cm is 20.5 x 6.5 x 3.25 = 433cm3.
This container can hold the 300cm3 of juice.
b) A cylinder is a geometric solid common in everyday life. Examples of a cylinder are soup cans, food tins, drink cans, candles, toilet paper rolls, cups, aerosol cans, flower vases, test tubes, fire extinguishers, plant containers, salt shakers and pencil holders. The two ends are called bases, and are usually circular. Though, they can take other shapes. When a cylinder is unrolled and flattened out, the side is actually a rectangle.
The surface area of a cylinder is the surface area of each end plus the surface area of the side. The mathematical formula is 2π * r2, where π is the pie and r is the radius of the end and r2 is r squared..
in circle o BC =17 and DC =30 what is the length of diameter ba
Answer:
if B is centre and BCD lie on diameter then
length of diameter = 47
47
Step-by-step explanation:
Create a polynomial that is added to 5x2 + 6x + 9 to get 7x2 + 9x + 14.
Answer:
Step-by-step explanation:
Subtract first from second
= 2x^2 + 3x + 5
It would take john 6 hours to paint a room by himself. It would take Tom 18 hours to paint the same room by himself. Of john and tom work together, each at his individual rate, how many hours will it take the to paint the room.
Answer:
12 hrs
Step-by-step explanation:
6+18 =24
24/2 = 12
Answer: 4h 30min
Step-by-step explanation: Theoretically, if X= Number of hours required to paint the room,
X(1/6+1/18)=1
X(3/18+1/18)=1
X(4/18)=1
X(2/9)=1
2/9X=1
X=9/2h, or 4 1/2 h
multiply -10/25 -10/16
Answer:
0.25
Step-by-step explanation:
Answer: The extract form is 1/4 And the decimal form is 0.25
Step-by-step explanation: