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Work Shown:
A = number who passed test, and did the hwB = number who passed test, but didn't do the hwC = number who failed test, but did the hwD = number who failed test, and didn't do the hwWith a class total of 19, we know that A+B+C+D = 19.
12 students passed the test, which leaves 19-12 = 7 people who failed the test.
Of these 7 people who failed the test, 4 of them didn't do the hw. This leads to D = 4.
Note how C+D = 7 becomes C+4 = 7 and it solves to C = 3.
Since 13 people did the hw, we can say A+C = 13. Plug in that value of C we found earlier, to find that A = 10.
Lastly, solving A+B = 12 leads to B = 2.
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To summarize what we found so far:
A = 10B = 2C = 3D = 4Now onto the question your teacher is asking: "What is the probability that a student completed the homework given that they passed the test?"
The key phrase here is "given that they passed the test". Because of this phrase, we'll ignore anyone who didn't pass. We'll focus solely on the 12 students who passed. Of those 12 who passed, we found that A = 10 people did the hw.
Therefore, the probability of picking someone who did the hw, given the passed the test, is 10/12 = 5/6
Which of the following do not represent the measures of the sides of a triangle?
A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30
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Explanation:
For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.
A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
Put another way, we must have these three conditions hold true for a triangle to form:
p+q > rp+r > qq+r > pIf any of those three are false, then we cannot make a triangle with side lengths p,q,r
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Let's go over choice C for an example in which we can form a triangle
p = 5, q = 6, r = 7
We can see that,
p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.
please help me out with this problem. will give thanks!
Answer:
It is an isosceles triangle.
Step-by-step explanation:
sum of angles of triangle = 180
since it is isosceles two angles will be same. let it be x.
x + x + 22 = 180
2x = 180 - 22
2x = 158
x = 79°
Help me pls pls pls pls
PLEASE HELP ME IT' S FOR TODAY!!!
Answer:
x=55
Step-by-step explanation:
125+125=250
250+2x=360
2x=110
x=55
Answer:
55
Step-by-step explanation:
There are many ways to solve this problem; however, I used the one I believe to be the fastest and easiest, but you can still use a different way.
I solved this by using the fact that the green angle (m<125) and the red angle (x) make a straight line. All straight lines equal 180 degrees; therefore, this line must equal 125+x=180. Then, you can subtract 125 from both sides of the equation. That leaves x=55.
10
2 of 10
Find the area of a circle with radius,
r
= 5.59m.
Give your answer rounded to 2 DP.
Answer:
area = 98.12 m²
Step-by-step explanation:
area = πr² = (3.14)(5.59²) = 98.12 m²
What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10°C?
Answer: [tex]50^{\circ}F[/tex]
Step-by-step explanation:
Given
Temperature increase is [tex]10^{\circ}C[/tex]
We know, conversion scale of Celcius to Fahrenheit is
[tex]0^{\circ}C\times \dfrac{9}{5}+32=32^{\circ}F[/tex]
for [tex]10^{\circ}C[/tex], it is
[tex]\Rightarrow 10\times \dfrac{9}{5}+32\\\\\Rightarrow 18+32=50^{\circ}F[/tex]
It is equivalent to [tex]50^{\circ}F[/tex]
I NEED THE ANSWER IN THE NEXT MINUTE
Step-by-step explanation:
the area of a circle: pi r^2
area of a rectangle: L x W
so youd write and solve 12 x 12 - pi (12/2)^2
Can you help me how to do it
Tell me the answer in the equation
Let A = 2x + 5 and B = x2 - 4x – 1
Find A - B
PLEASE HELP
Anyone know how to do this?? I need help plss!!! Tyyy!!
the function has a y-intercept of (0,8) . and the function has a x-intercept of (2,0) . the function also has a x intercept of 4,0
Step-by-step explanation:
f(x) is basically just Y , so this is a table showing x and y coordinates. when x = 0 , it's a y intercept and when f(x) or Y = 0 , it's a x intercept !
В.
Julie is making a banner shaped like a
parallelogram with a base of 8. feet and
a height of 6 feet. How many square feet
of material will Julie need for the banner?
How many different meal combinations can she make in all
Which expression is equivalent to (1.009 1/12) 12t?
A. 1.000712t
B. 1.007512t C.1.009012t
D 1.113512t
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Solve for an angle in right triangles
Answer:
26°
Step-by-step explanation:
use the inverse trig functions (in this case, sin^-1)
sin^-1(4/9)
Answer:
26.39
Step-by-step explanation:
khan
Which of the following poems have to rhyme?
Sonnet
Limerick
Haiku
Cinquain
Answer:
a
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST
Which is equivalent to the expression -8i^2 + 3
A. -5
B. 11
C. 3 - 8i
D. 3 + 8i
Answer:
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Step-by-step explanation:ccccccccccccccccccccccccccccccccccccc
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
A sphere with a radius of 6 pi.What is the surface area of the sphere 36Pi3 square units 114Pi2 square units 144Pi3 square units 576Pi4 square units
Answer:
6×36=216.I hope the answer is correct. I will be happy when I get 5 pointsAnswer:
Step-by-step explanation:
PLS HELP I WILL GIVE OUT BRAINILEST!!!!!
I need help plz this is hard
Answer:
(1,3)(5,-5)(3,-1)
Step-by-step explanation:
find the quotient:
1 divided by 13/7
Answer:
7/13
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
we have to multiply 1 by the reciprocal of 13/7
1 x 7/13 = 7/13
becuase a number multiply by 1 gives as result the number itself
Find the value of x in the following diagram.
Answer:
x = 3.5
Step-by-step explanation:
By definition, congruent chords are equidistant from the center of a circle. We are given two congruent chords and their distances(the lines perpendicular), meaning those distances must be equal. We set set up an equation to model the situation:
x + 8 = 3x + 1
8 = 2x + 1
2x = 7
x = 3.5
Solve by using substitution.
=3−8
=−4
Answer:
I'm going to assume that you meant y=3x-8 and y=-4
This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.
Hope I helped have a nice day :)
Help please!! Quickly!!
The length of a dog run is twice its width. Its area is 50 square yards.
Find the length and width of the dog run.
Answer:
Length = 10 yards Width = 5 yards
Step-by-step explanation:
2w x w = 50 yards²
2w² = 50 yards²
2w²/2 = 50 yards² / 2
[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]
w = 5
Area = l x w
= 10 x 5 = 50
length = 2w
width = w
length = 2(5)
length = 10 yards
[tex] \sqrt{25} + \sqrt{16} = [/tex]
Tell me what the answer is
Answer:
The answer is 9
Step-by-step explanation:
√25 = 5
√16 = 4
Now,
√25 + √16
5 + 4 = 9
Thus, The answer is 9
-TheUnknownScientist
Answer:
9
Step-by-step explanation:
First step is to simplify the radicals
√25=5
√16=4
5+4=9
how to find area of a square room if it's length is 5cm
Answer:
150 cm²
Step-by-step explanation:
Since the room is square, assuming that it is a cube, the area will be 6s², where s is the side length.
Given a side length of 5cm, the area is
6(5)² = 6cm × 25cm = 150cm²
Type the missing number in this sequence: 90, 78, 72, 66, 60, 54
Answer:
48
Step-by-step explanation:
minus 6 every number
Which alternative is the NEGATIVE reciprocal of -4?*
A. - 4
B. -1/4
C. 1/4
D.4
ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!
Answer: Slope: -1/2
Step-by-step explanation: To find slope take 2 points that lie on the line and use this formula to solve: I will use (0, -2) and (2, -3) to solve
↑ ↑ ↑ ↑
y2 - y1 x1 y1 x2 y2
-----------
x2 - x1
So, for this question, substitute the x and y values from the points above to solve.
-3 - (-2)
----------- = - 1/2
2 - 0
Hope this helped. :)
Rewrite the function by completing the square.
f(x) = x2 – 2x – 95
A cyclist cycles a distance of 45 miles in a time of 3 hours.
What is her average speed?