Answer:
x = q - 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
x + 3 = q
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 3 on both sides: x = q - 3
Answer:
4+(x*4)
Step-by-step explanation:
Answer:
6 black and white photos
9 color photos
Step-by-step explanation:
1. black and white photo = $3
2. color photo = $2
find number of each photo that will give you at least 12 photos
1. $3*6 = $18
2. $2*9 = $18
3. $36 = 15 photos (6 black and white, 9 color)
Answer: A: 0.0031
Step-by-step explanation:
Given : In a study of wait times at an amusement park, the most popular roller coaster has a mean wait time of 17.4 minutes with a standard deviation of 5.2 minutes.
i.e. 
and 
We assume that the wait times are normally distributed.
samples size : n= 30
Let x denotes the sample mean wait time.
Then, the probability that the mean wait time is greater than 20 minutes will be :
![P(x>20)=1-P(x\leq20)\\\\=1-P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\leq\dfrac{20-17.4}{\dfrac{5.2}{\sqrt{30}}})\\\\=1-P(z\leq2.74)\ \ [\because\ z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-0.9969\ \ [\text{ By z table}]\\\\=0.0031](https://tex.z-dn.net/?f=P%28x%3E20%29%3D1-P%28x%5Cleq20%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%5Cleq%5Cdfrac%7B20-17.4%7D%7B%5Cdfrac%7B5.2%7D%7B%5Csqrt%7B30%7D%7D%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq2.74%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%5D%5C%5C%5C%5C%3D1-0.9969%5C%20%5C%20%5B%5Ctext%7B%20By%20z%20table%7D%5D%5C%5C%5C%5C%3D0.0031)
Hence, the probability that the mean wait time is greater than 20 minutes.= 0.0031
Thus , the correct answer is A: 0.0031 .
X = apples trees
Y= azaleas
6x + 5y = 219
3x + 4y = 132
-2(3x + 4y = 132)
-6x - 8y = -264
6x + 5y = 219
-3y = -45
-3y/-3 = -45/-3
y = 15
6x + 5y = 219
6x + 5(15) = 219
6x + 75 - 75 = 219 - 75
6x/6 = 144/6
X = 24
The cost for each apple tree is $24 and fit each azalea is $15
