Answer:
x = 13
Step-by-step explanation:
1765
x = 100 (9) + (7) 50 + (19) 20 + (7) 10 - 1765
x = 900 + 350 + 380 + 70 - 1765
x = 1700 - 1765
x = -65
65/5 = 13
x = 13
y = x² - 4x + 8
4x + y = 12
4x + y = 12
4x + (x² - 4x + 8) = 12
x² + 4x - 4x + 8 = 12
x² + 8 = 12
- 8 - 8
x² = 4
x = ±2
4x + y = 12
4(2) + y = 12
8 + y = 12
- 8 - 8
y = 4
4x + y = 12
4(-2) + y = 12
-8 + y = 12
+ 8 + 8
y = 20
(x, y) = (2, 4) and (-2, 20)
Answer:
Between 5 and 6
Step-by-step explanation:
So first divide 16/3 to get 5.333333333333
5.333333333333 is between 5 and 6!
Hope this helps! Have a nice day! :)
Answer:
Combine multiplied terms into a single fraction
13(−6+4)=−112(4+4)
13(−6q+4)=−112(4q+4)\frac{1}{3}(-6q+4)=\frac{-1}{12}(4q+4)31(−6q+4)=12−1(4q+4)
1(−6+4)3=−112(4+4)
1(−6q+4)3=−112(4q+4)\frac{1(-6q+4)}{3}=\frac{-1}{12}(4q+4)31(−6q+4)=12−1(4q+4)
2
Multiply by 1
3
Combine multiplied terms into a single fraction
4
Distribute
5
Multiply all terms by the same value to eliminate fraction denominators
6
Cancel multiplied terms that are in the denominator
7
Distribute
8
Subtract
16
161616
from both sides of the equation
9
Simplify
10
Add
4
4q4q4q
to both sides of the equation
11
Simplify
12
Divide both sides of the equation by the same term
13
Simplify
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Solution
=1
Step-by-step explanation:
Answer:
a. P(X<5)=0.729
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>"The port of South Louisiana, located along miles of the Mississippi River between New Orleans and Baton Rouge, is the largest bulk cargo port in the world. The U.S. Army Corps of Engineers reports that the port handles a mean of 4.5 million tons of cargo per week. Assume that the number of tons of cargo handled per week is normally distributed with a standard deviation of 0.82 million tons.</em>
<em>a. What is the probability that the port handles less than 5 million tons of cargo per week (to 4 decimals)."</em>
We can solve this using the z-score.
We have a normal distribution with mean 4.5 and standard deviation 0.82.
The z-score for X=5 is:
Then, the probability that X<5 is:
