PEMDAS (right to left) (Parentheses, exponents, Multiplication/Division, Addition/Subtraction) or Please Excuse My Dear Aunt Sally is what I was taught to use.
1.[(-4)+{-2}]*(-5)^2-9; divide 8 by -4 (it is the innermost parentheses problem)
2. [(-6)]*-5^2-9; next innermost parentheses problem
3. [(-6)]*25-9; exponents
4. -150-9; multiplication
5. -159; subtraction/addition depending on how you want to look at it
Since you want to use the SAS theorem, you must find sides that are either side of angles BAC and DAE. You have already made use of sides AE and AC, so the other sides you need to choose are AB and AD. The appropriate relationship for similarity is ...
... AD = 2AB
since you want the sides of triangle ADE to be twice then length of those in triangle ABC.
Answer:
Sally bought 4 pounds of Strawberries and 3 pounds of Cantaloupes.
Step-by-step explanation:
Let the number of pounds of Strawberries bought by Sally = x
Let the number of pounds of Cantaloupes bought by Sally = y
---------------------------------(1)
Moreover,
---------------(2)
Solving (1) and (2) by substitution:
![\[x = 7 - y\]](https://tex.z-dn.net/?f=%5C%5Bx%20%3D%207%20-%20y%5C%5D)
=> ![\[2.5 *(7-y) + 2.25 y = 16.75\]](https://tex.z-dn.net/?f=%5C%5B2.5%20%2A%287-y%29%20%2B%202.25%20y%20%3D%2016.75%5C%5D)
=> ![\[17.5 - 2.5y + 2.25 y = 16.75\]](https://tex.z-dn.net/?f=%5C%5B17.5%20-%202.5y%20%2B%202.25%20y%20%3D%2016.75%5C%5D)
=> ![\[0.25y = 0.75\]](https://tex.z-dn.net/?f=%5C%5B0.25y%20%3D%200.75%5C%5D)
=> ![\[y = 3\]](https://tex.z-dn.net/?f=%5C%5By%20%3D%203%5C%5D)
From (1), x = 7-3 = 4
Answer:
0.15 is the probability of a Type II error for this test.
Step-by-step explanation:
We are given the following information in the question:
Alpha, α = 0.05 = 5%
P‑value = 4% = 0.04
Power of test = 85% = 0.85
We have to find the probability of a Type II error for this test.
- The type II error is the error that occurs when we fails to reject a null hypothesis when it is false.
The relation between power of a test and type II error is given as:

Putting values, we get,

0.15 is the probability of a Type II error for this test.
Answer:
19
Step-by-step explanation: 266 divided by 14 = 19