The probability of a student that earned an A on the test is 7/12.
To get a fraction like this, you put the number of students on the left, or the top and the number of students total on the right, or bottom. Then, you simplify your answer. This brings us to 7/12. You cannot simplify any further because the fraction includes a prime number.
I hope this helps!
Answer:
6) C
![-2r\left(8r+5\right):\quad -16r^2-10r\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\=-2r\cdot \:8r+\left(-2r\right)\cdot \:5\\=-2\cdot \:8rr-2\cdot \:5r\\\mathrm{Simplify}\:-2\cdot \:8rr-2\cdot \:5r:\quad -16r^2-10r](https://tex.z-dn.net/?f=-2r%5Cleft%288r%2B5%5Cright%29%3A%5Cquad%20-16r%5E2-10r%5C%5C%5Cmathrm%7BApply%5C%3Athe%5C%3Adistributive%5C%3Alaw%7D%3A%5Cquad%20%5C%3Aa%5Cleft%28b%2Bc%5Cright%29%3Dab%2Bac%5C%5C%3D-2r%5Ccdot%20%5C%3A8r%2B%5Cleft%28-2r%5Cright%29%5Ccdot%20%5C%3A5%5C%5C%3D-2%5Ccdot%20%5C%3A8rr-2%5Ccdot%20%5C%3A5r%5C%5C%5Cmathrm%7BSimplify%7D%5C%3A-2%5Ccdot%20%5C%3A8rr-2%5Ccdot%20%5C%3A5r%3A%5Cquad%20-16r%5E2-10r)
<em>7) </em>B
![4a\left(a^2+7a+4\right):\quad 4a^3+28a^2+16a](https://tex.z-dn.net/?f=4a%5Cleft%28a%5E2%2B7a%2B4%5Cright%29%3A%5Cquad%204a%5E3%2B28a%5E2%2B16a)
![\mathrm{Distribute\:parentheses}\\=4aa^2+4a\cdot \:7a+4a\cdot \:4\\=4a^2a+4\cdot \:7aa+4\cdot \:4a\\\mathrm{Simplify}\:4a^2a+4\cdot \:7aa+4\cdot \:4a:\quad 4a^3+28a^2+16a](https://tex.z-dn.net/?f=%5Cmathrm%7BDistribute%5C%3Aparentheses%7D%5C%5C%3D4aa%5E2%2B4a%5Ccdot%20%5C%3A7a%2B4a%5Ccdot%20%5C%3A4%5C%5C%3D4a%5E2a%2B4%5Ccdot%20%5C%3A7aa%2B4%5Ccdot%20%5C%3A4a%5C%5C%5Cmathrm%7BSimplify%7D%5C%3A4a%5E2a%2B4%5Ccdot%20%5C%3A7aa%2B4%5Ccdot%20%5C%3A4a%3A%5Cquad%204a%5E3%2B28a%5E2%2B16a)
<em>Hope this helps and have a great day!!!</em>
<em>
</em>
Answer:
The answer is below
Step-by-step explanation:
A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.
The two tangent theorem states that tangent that meet at the same point are equal in length.
Therefore:
CD = c + d
but c = 5.1, hence:
CD = 5.1 + d
12.1 = 5.1 + d
d = 7
AD = a + d; but AD = 12.2, d = 7
12.2 = a + 7
a = 5.2
AB = a + b; but b = 3.3
AB = 5.2 + 3.3 = 8.5
BC = b + c = 3.3 + 5.1 = 8.4
Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2
Answer:
y intercept = -0.93
x intercept = -0.42
Step-by-step explanation:
To get x intercept, substitute y for 0 and solve for x.
To get y intercept, substitute x for 0 and solve for y.
X intercept:
9.3x + 4.2y + 3.9 = 0
9.3x + 4.2(0) + 3.9 = 0
9.3x + 3.9 = 0
Subtract 3.9 to get it on the other side
9.3x + 3.9 - 3.9 = 0 - 3.9
9.3x = -3.9
Divide 9.3 to get x by itself
(9.3x) / (9.3) = (-3.9) / (3.9)
x = -0.419355
Since there are some extra numbers, I will round it to the nearest hundredth to make it easier
-0.419355 = -0.42
Y intercept:
9.3x + 4.2y + 3.9 = 0
9.3(0) + 4.2y + 3.9 = 0
4.2y + 3.9 = 0
Subtract 3.9 to get it on the other side
4.2y + 3.9 - 3.9 = 0 - 3.9
4.2y = -3.9
Divide 4.2 to get y by itself
(4.2x) / (4.2) = (-3.9) / (4.2)
x = -0.928571
Round answer to nearest hundredths
-0.928571 = -0.93
Notes:
If your answer is an extended decimal number, round it to the nearest hundredths to make it easier