Answer:
Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Step-by-step explanation:
In the number 456, the "5" has a face value of 5. Value = The place value of the digit times its face value. Example: Find the value of the digits 6, 8 and 4 in the number 684.
We know that
<span>the Consumer Price Index
(CPI) is equals to
</span>CPI=100*[cost of the pizza today/cost of the pizza <span>in the base year]
[</span>cost of the pizza in the base year]=100*[cost of the pizza today/CPI]
cost of the pizza today=$12
<span>CPI=200
so
</span>[cost of the pizza in the base year]=100*[12/200]-----> $6
<span>
the answer is
</span>The cost of the pizza in the base year is $6<span>
</span>
y = 4x + 1
check
for x = 1 → y = 4(1) + 1 = 4 + 1 = 5 OK
for x = 4 → y = 4(4) + 1 = 16 + 1 = 17 OK
for x = 5 → y = 4(5) + 1 = 20 + 1 = 21 OK
for x = 7 → y = 4(7) + 1 = 28 + 1 = 29 OK
for x = 9 → y= 4(9) + 1 = 36 + 1 = 37 OK
Twenty seven thousand six hundred and eighty
Answer:
![a=p=\frac{1}{6}\\\\b. \ p=\frac{1}{12}\\\\c.\ 1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T](https://tex.z-dn.net/?f=a%3Dp%3D%5Cfrac%7B1%7D%7B6%7D%5C%5C%5C%5Cb.%20%5C%20p%3D%5Cfrac%7B1%7D%7B12%7D%5C%5C%5C%5Cc.%5C%201H%2C1T%2C2H%2C2T%2C3H%2C3T%2C4H%2C4T%2C5H%2C5T%2C6H%2C6T)
Step-by-step explanation:
a. A fair dice has 6 sides with unique identities.
-The sample space of one throw is 6 and each face has an equal chance of showing up.
-The probability of a 6 is calculated as:
![p(six)=\frac{1}{6}\\\\or \ =0.1667](https://tex.z-dn.net/?f=p%28six%29%3D%5Cfrac%7B1%7D%7B6%7D%5C%5C%5C%5Cor%20%5C%20%3D0.1667)
Hence, the probability of a 6 is ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
b.A fair die has 6 unique faces.
-Two throws will have a sample space of 12.
-Each face has an equal probability of appearing twice.
-The probability of a 6 on both throws is:
![P(six)=2\times \frac{1}{6}\\\\=\frac{1}{12}](https://tex.z-dn.net/?f=P%28six%29%3D2%5Ctimes%20%5Cfrac%7B1%7D%7B6%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B12%7D)
c. A coin has 2 sides(head, tail) and a die has 6 sides.
-The total sample space for the simultaneous throw of a coin and die is 12.
-The resultant sample space is :
![1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T](https://tex.z-dn.net/?f=1H%2C1T%2C2H%2C2T%2C3H%2C3T%2C4H%2C4T%2C5H%2C5T%2C6H%2C6T)