Answer:
*I just learned that in probability if a question has 'and' it means you multiply and if it has 'or' it means you add*
1a) 1/6
There are two numbers greater than four (5 and 6). There are 6 possible numbers you can get, so the fraction would be 2/6, or simplified would be <u>1/3</u>. There are two options you can get when flipping a coin, so the chance of getting a head is <u>1/2</u>. This is an 'and' problem so multiply 1/3•1/2 and you get 1/6.
1b) 1/4
There are 3 even numbers (2, 4, and 6), so the probability would be 3/6 or simplified to <u>1/2</u>. The chance of landing on a tail is also <u>1/2</u>, as there are two possible options. This is an 'and' problem so multiply 1/2•1/2 and you get 1/4.
2) 1/8
Write out your possible results: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.
3a) 1/8
There are 4 shirt options to choose from. The chance of picking blue is <u>1/4</u>. There are 2 pant options. The chance of picking black is <u>1/2</u>. This is an 'and' problem, so multiply 1/4•1/2 and you get 1/8.
3b) 1/4
There are 4 shirt options to choose from. This is an 'or' problem because he can choose an orange shirt OR a red shirt. The probability of picking an orange shirt is 1/4 and the probability of picking a red shirt is 1/4. 'Or' means you use addition so add 1/4+1/4 and you get 2/4 or simplified is <u>1/2</u>. There are 2 pant options to choose from, so the probability of choosing brown pants is 1/2. Now, this is an 'and' problem, so multiply 1/2•1/2 and you get 1/4.
Answer: Choice A) -312,500
=====================================
The long way to find the answer is to multiply each term by -5 until you've generated 8 terms total.
4 is the first term
-20 is the second term (4 times -5 = -20)
100 is the third term (-20 times -5 = 100)
100 times -5 = -500 which is the fourth term
-500 times -5 = 2500 which is the fifth term
2500 times -5 = -12500 which is the sixth term
-12500 times -5 = 62500 which is the seventh term
62500 times -5 = -312500 which is the eigth term
---------------------
A shortcut is to use the formula below
a(n) = a*(r)^(n-1)
Plug in a = 4, r = -5 and n = 8
a(n) = a*(r)^(n-1)
a(8) = 4*(-5)^(8-1)
a(8) = 4*(-5)^7
a(8) = 4*(-78125)
a(8) = -312,500
and we get the same answer
Answer:
Step-by-step explanation:
![f(x) = \int [\dfrac{1}{2} - \dfrac{1}{2(x - 2)}] dx](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%5Cint%20%5B%5Cdfrac%7B1%7D%7B2%7D%20-%20%5Cdfrac%7B1%7D%7B2%28x%20-%202%29%7D%5D%20dx%20)
![f(x) = \dfrac{1}{2}[x - \ln (x - 1) - 2]](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Bx%20-%20%5Cln%20%28x%20-%201%29%20-%202%5D%20)
Answer: $10988.25
Step-by-step explanation:
From the question, we are told that for the Black Panther trip 420 students were scheduled to go and 15% more students were selected. This means that the total number of students that are going will be:
= 420 + (15% × 420)
= 420 + (0.15 × 420)
= 420 + 63
= 483 students
Since each administration ticket cost 22.75 dollars. The total amount paid for all tickets purchased will be:
= 483 × $22.75
= $10988.25
Answer: C is symmetrical
A is Uniform
B is right skewed
D is left skewed
Step-by-step explanation:
