Answer:
4
Step-by-step explanation:
5 divided by 3 times
5/5/5=.2
.2*20=4
Answer:
![\huge\boxed{\left\{-\dfrac{5+\sqrt{21}}{2};\ \dfrac{-5+\sqrt{21}}{2}\right\}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Cleft%5C%7B-%5Cdfrac%7B5%2B%5Csqrt%7B21%7D%7D%7B2%7D%3B%5C%20%5Cdfrac%7B-5%2B%5Csqrt%7B21%7D%7D%7B2%7D%5Cright%5C%7D%7D)
Step-by-step explanation:
![x^2+5x+1=0\\\\\text{Use the quadratic formula:}\\\\\text{For}\ ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta < 0,\ \text{then the equation has no real solution}\\\text{if}\ \Delta=0,\ \text{then the equation has one real solution}\ x=\dfrac{-b}{2a}\\\text{if}\ \Delta>0,\ \text{then the equation has two real solution}\ x=\dfrac{-b\pm\sqrt{\Delta}}{2a}](https://tex.z-dn.net/?f=x%5E2%2B5x%2B1%3D0%5C%5C%5C%5C%5Ctext%7BUse%20the%20quadratic%20formula%3A%7D%5C%5C%5C%5C%5Ctext%7BFor%7D%5C%20ax%5E2%2Bbx%2Bc%3D0%5C%5C%5C%5C%5CDelta%3Db%5E2-4ac%5C%5C%5C%5C%5Ctext%7Bif%7D%5C%20%5CDelta%20%3C%200%2C%5C%20%5Ctext%7Bthen%20the%20equation%20has%20no%20real%20solution%7D%5C%5C%5Ctext%7Bif%7D%5C%20%5CDelta%3D0%2C%5C%20%5Ctext%7Bthen%20the%20equation%20has%20one%20real%20solution%7D%5C%20x%3D%5Cdfrac%7B-b%7D%7B2a%7D%5C%5C%5Ctext%7Bif%7D%5C%20%5CDelta%3E0%2C%5C%20%5Ctext%7Bthen%20the%20equation%20has%20two%20real%20solution%7D%5C%20x%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7B%5CDelta%7D%7D%7B2a%7D)
![\text{We have}\\\\a=1,\ b=5,\ c=1\\\\\Delta=5^2-4(1)(1)=25-4=21>0\\\\x=\dfrac{-5\pm\sqrt{21}}{2(1)}=\dfrac{-5\pm\sqrt{21}}{2}](https://tex.z-dn.net/?f=%5Ctext%7BWe%20have%7D%5C%5C%5C%5Ca%3D1%2C%5C%20b%3D5%2C%5C%20c%3D1%5C%5C%5C%5C%5CDelta%3D5%5E2-4%281%29%281%29%3D25-4%3D21%3E0%5C%5C%5C%5Cx%3D%5Cdfrac%7B-5%5Cpm%5Csqrt%7B21%7D%7D%7B2%281%29%7D%3D%5Cdfrac%7B-5%5Cpm%5Csqrt%7B21%7D%7D%7B2%7D)
Answer:
the probability is 1/12
Step-by-step explanation:
The probability, P(Tails) to get tails is equal to:
![P(Tails)=\frac{1}{2}](https://tex.z-dn.net/?f=P%28Tails%29%3D%5Cfrac%7B1%7D%7B2%7D)
Because a penny have two possible options heads or tails and tails is one option.
Additionally, the probability P(3) that the number cube get a 3 is equal to:
![P(3)=\frac{1}{6}](https://tex.z-dn.net/?f=P%283%29%3D%5Cfrac%7B1%7D%7B6%7D)
Because the cube have 6 possible options and 3 is one option.
Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:
P(tails and 3) ![=\frac{1}{2}*\frac{1}{6}=\frac{1}{12}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%2A%5Cfrac%7B1%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B12%7D)
Answer:
Jamyra spent 23 minutes studying last week.
Step-by-step explanation:
100 - 8 = 92
92 ÷ 4 = 23.