Answer:
(7, 2 )
Step-by-step explanation:
Given the 2 equations
3x - 2y = 17 → (1)
x - 3y = 1 → (2)
Rearrange (2) expressing x in terms of y by adding 3y to both sides
x = 1 + 3y → (3)
Substitute x = 1 + 3y in (1)
3(1 + 3y) - 2y = 17 ← distribute and simplify left side
3 + 9y - 2y = 17
3 + 7y = 17 ( subtract 3 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Substitute y = 2 into (3) for corresponding value of x
x = 1 + 3(2) = 1 + 6 = 7
Solution is (7, 2 )
Answer:
Step-by-step explanation:
For the null hypothesis,
H0 : p = 0.63
For the alternative hypothesis,
Ha : p < 0.63
This is a left tailed test
Considering the population proportion, probability of success, p = 0.63
q = probability of failure = 1 - p
q = 1 - 0.63 = 0.37
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 478
n = number of samples = 800
P = 478/800 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76
From the normal distribution table, the area below the test z score in the left tail 0.039
Thus
p = 0.039
Answer:
After 5 hours, the number of bacteria will be 1024
Step-by-step explanation:
1 times 4 = 4
4 times 4 = 16
16 times 4 = 64
64 times 4 = 256
256 times 4 = 1024
It will take around 5 hours to exceed 1000
Answer: B) 0
Step-by-step explanation:
1. When you add complex numbers you must add the whole parts and then the imaginary parts.
2. One of the properties of complex numbers is called "Additive identity" which is represented by:
3. Then, for the complex number 
, you have:
4. Therefore, the answer is the option B.
The answer is b. if you divide 120 and 96, you would get 20 inches.
