Using it's concept, it is found that there is a 0.4 = 40% probability that a student passed the test given that they did not complete the homework.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, of the 25 - 20 = 5 students that did not complete the homework, 15 - 13 = 2 passed the test, hence the probability is given by:
p = 2/5 = 0.4 = 40%.
0.4 = 40% probability that a student passed the test given that they did not complete the homework.
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Solve: 2x^2 -x >15 Show your work.
Answer:
x>3
Step-by-step explanation:
Work:
2x^2-x>15
Subtract 15 on both sides:
2x&2-x-15>0
Factor the left side of equation to cancel out the ^2.
(2x+5)(x−3)>0
2x+5=0 or x−3>0
Then to make it easier we will do the x-3>0 one, add 3 to both sides = x>3
Does the equation Y equals 2X +3 represent a proportional relationship
the price of 10 chairs is equal to that of 4 tables. the price of 15 chairs and two tables together is 4000$ the total price ( in $) of a chair and table is?
Answer:
$700 for a chair and a table
Step-by-step explanation:
Let t and c represent the price of a table and a chair, respectively. The given relations are ...
10c = 4t
15c +2t = $4000
Divide the first equation by 2 and substitute for 2t:
5c = 2t
15c +5c = $4000
20c = $4000
c = $200
t = 5c/2 = 5($200)/2 = $500
The total price of a chair and a table is ...
$200 +500 = $700 . . . . price of a chair and a table
A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is given by
the formula h = 16t^2 + 32t+ + 240. After how long will the stone hit the ground?
A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.
On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.
The height h, is given as:
h = 16[tex]t^{2}[/tex] + 32t + 240
Differentiating the expression with respect to t, we have;
32t + 32 = 0
t = -1 seconds
Substitute the value of time, t, in the equation for the height;
h = 16 - 32 + 240
= 224
h = 224 m
Total height, S = 240 + 224
= 464
S = 464 m
The total height covered by the stone is 464 m.
From the second equation of free fall,
S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
S = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
464 = [tex]\frac{1}{2}[/tex]*9.8*[tex]t^{2}[/tex]
[tex]t^{2}[/tex] = [tex]\frac{928}{9.8}[/tex]
= 94.694
t = [tex]\sqrt{94.694}[/tex]
= 9.7311
t ≅ 10 seconds
The time taken for the stone to hit the ground is 10 seconds.
Thus option A is the required answer.
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I NEED HELP PLSSSSSS
Answer:
130 is the answer I Think
Mr Harrison is 9 months old. How old is Mr Harrison daughter in days
Answer:
273.75 days
Step-by-step explanation:
What is his error? Try to describe the picture. (Pls help I need 4 pages due tomorrow)
Answer:
Ben's error is that he thought both pizzas were the same size, well what was left and in the beginning.
Step-by-step explanation:
Even if both 1/4 is left, that doesn't mean you started with the same amount. Also, both 1/4 pieces are different shapes and sizes, making him wrong.
Hope this helped!! :)
draw a diagram for this fraction
7/2
Answer:
You can't draw a diagram for a improper
fraction
if I move up 8 and then move down 8 where am I located?
Answer:
you are back in your place.
Step-by-step explanation:
1+×= ???? answer it
Answer:
1+x=x
Step-by-step explanation:
1 is only one letter
what is the perimeter of khgj?
Answer:
58 in
Step-by-step explanation:
The fact that the rectangles are congruent means both have a length of 18 in and a width of 11 in. The perimeter is ...
P = 2(L +W)
P = 2(18 in + 11 in) = 2(29 in)
P = 58 in
The perimeter of KHGJ is 58 inches.
The original price of a dress is 95.00. A discount of 10% is offered for cash payment. How much does one save by paying cash for the dress?
Answer:
10% of 95 is 9.5
So 95 - 9.5 = 85.5
w
[tex]41 \div 646 = [/tex]
[tex]259 \times 55[/tex]
help me with this math pls
An interior designer hangs canvas paintings along a hallway. If the interior designer uses canvas paintings with length measuring
9
inches and places them side by side along the hallway that has a length of
24
feet, how many paintings does the designer hang?
The number of paintings the designer can hang is 32.
In order to determine how many paintings the painter can hang, the length of the hallway would be divided by the length of the paintings.
Number of paintings = length of hallway / length of paintings
The unit of measurement of the hallway and the paintings have to be the same length,
1 foot = 12 inches
24 feet x 12 = 288 inches
Number of paintings = 288 / 9 = 32 paintings
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How much would $100 invested at 6% interest compounded monthly be
worth after 20 years? Round your answer to the nearest cent.
Answer:
331.02
Step-by-step explanation:
Hey can anyone help me with these please and thank you !
Answer:
I would be able to help you but I cant see the work that well. hope you figure it out.
Step-by-step explanation:
A 9 in the thousandths place has 10 times the value of a 9 in the ? Place.
Answer:
10,000th place
Step-by-step explanation:
What is three times a number is increased by 11 ,the result is 32
Answer:
7
Step-by-step explanation:
let x be the number
3x + 11 = 32
3x = 21............subtract both sides by 11
x = 7................divide both sides by 3
Answer:
Expression-
3×r+11=32
r=7
Step-by-step explanation:
I have run this answer the calculator a million times so trust me on this one
can someone help me ?
Which of the following are true?
3^6 x 3^-3 = 27
3^3 x 3^-6 = 1/27
3^2 x 3^1 = 27
3^4 x 3^-1 = 1/27
Answer:
i think that all of them EXCEPT the last one are correct. Explained below
How much is f(x) = 3(4)x
Answer:
f ( x ) = 12 x
Step-by-step explanation: 3x4=12 so that makes it f(x)=12x
Please please help please help me please please help me
Answer:
y = -6/7x - 10/7
Step-by-step explanation:
(-4,2) and (3,-4)
Slope: - 6/7
Take any point: (-4,2)
y-intercept: 2 - (- 6/7)(-4) = -10/7
A shirts costs $20, the cost of the shirt increases 30%, what is the price of the shirt now?
Answer: 10
Step-by-step explanation:
can someone write −4 and (6, 4) in standard form. -4 is the slope. I need it as one answer.
Answer:
y = -4x + 28
Step-by-step explanation:
yeah-ya........ right?
Step-by-step explanation:
what is the standard form for your teacher ?
because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).
there are 2 main forms :
the general slope intercept form is
y = ax + b
a is the slope. and is here -4.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the half finished equation :
4 = -4×6 + b = -24 + b
28 = b
so, the equation is
y = -4x + 28
the general slope point form is
y - y1 = a(x - x1)
where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.
so, we have
y - 4 = -4(x - 6)
solve pls brainliest
We have: 103/20= 5,15 ; 5 2/9= 5,(2)
So the answer is:
103/20 < 5.169 < 5.19 < 5 1/2
ok done. Thank to me :>
Using the diagram of a regular hexagon, fill in the blanks for the steps to solve for the area of a hexagon with sides equal to 16 cm.
(1) How many equilateral triangles are there? _____
(2) What is the measure of each of the three angles in the equilateral triangle? _____
(3) If we cut an equilateral triangle down the middle (segment a), what special right triangle do you create? _____
(4) What is the vocabulary word for the segment a? _____
(5) What is the length of the short side of one of the 30-60-90 triangles? _____
(6) What is the length of the hypotenuse of one of the 30-60-90 triangles? _____
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg of one of the 30-60-90 triangles. _____
(8) What is the height of one of the the equilateral triangles? _____
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. _____
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _____
Answer:
(1) How many equilateral triangles are there? ___6__
(2) What is the measure of each of the three angles in the equilateral triangle? __60°_
(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_
(4) What is the vocabulary word for the green line? _Perpendicular bisector_
(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_
(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm
(8) What is the height of the equilateral triangle? _4√3_cm
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²_
Step-by-step explanation:
In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles
What is Hexagone?In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles
The answers of all the fill in the blanks are given below:
(1) How many equilateral triangles are there ___6__
(2) What is the measure of each of the three angles in the equilateral triangle __60°_
(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_
(4) What is the vocabulary word for the green line? _Perpendicular bisector_
(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_
(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm
(8) What is the height of the equilateral triangle? _4√3_cm
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²
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brief statement Bosnian Crisis.
Answer:
The Bosnian war and genocide resulted in close to 100,000 civilians killed, over 2 million people forcibly displaced, and between 20,000-50,000 women systematically raped. ... Over 7,000 Bosnian Muslim prisoners captured in the area around Srebrenica were summarily executed from 13 July to 19 July 1995.
Step-by-step explanation:
hope this helps
PLEASE HELP BRAINLEST TO WINNER!!!!!!!
The coordinates of a point on a coordinate grid are (−1, 5). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are
(1, −5)
(−1, 5)
(1, 5)
(−1, −5)
(-1, -5)
x-axis is to flip the y - coordinates
y-axis is to flip the x - coordinates
WARM UP ACTIVITY (5 MIN) Ms. Chantel's car can go 228 miles on 6 gallons of gas. During a drive last week Ms. Chantel used 7 gallons of gas. a.) How far did she drive? b).Explain how the problem changes if you were given the distance Ms. Chantel drove last week instead of how much gas she used.
How does the problem change????
Answer:
a. 266
b. if you were given the distance you can just do, the distance divided by 38
Step-by-step explanation:
A. 228/6=38
228+38=266
6=2(y+2) what is the value of y in the equation
Answer: the value of y is 1
Step-by-step explanation: 6=2 x 1+2
PLEASE ANSWER!!! HELPPPO
Answer:
a) 34
b) 17
c)46
Step-by-step explanation:
55-21 = 34
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