Answer:
For the first two you are right, the last two should be 1/10 and 9/10.
Step-by-step explanation:
The probability that you win is both blue and even number happen, which is 1/5 * 3/6 = 3/30 = 1/ 10, then the probability you not win is 1- 1/10 = 9/10.
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Rational numbers are numbers that can be turned into a fraction. They can be negative or positive.
Integers are whole numbers. They can be negative or positive.
Numbers such as 0.10 are rational because they can be turned into a fraction
0.10 = 1/10....and since it is not a whole number, it is not an integer.
Answer:
a) 9.56%
b) 0.0019
Step-by-step explanation:
a) Find the z-scores.
z = (x − μ) / σ
z₁ = (-0.0050) / 0.0030
z₁ = -1.67
z₂ = (0.0050) / 0.0030
z₂ = 1.67
Find the probability using a chart or calculator.
P(Z < -1.67 or Z > 1.67) = 2 P(Z < -1.67)
P(Z < -1.67 or Z > 1.67) = 2 (0.0478)
P(Z < -1.67 or Z > 1.67) = 0.0956
b) Use a chart or calculator to find the z-score.
P(Z < -z or Z > z) = 0.01
P(Z < -z) = 0.005
z = 2.576
Find the standard deviation.
z = (x − μ) / σ
2.576 = (0.0050) / σ
σ = 0.0019
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-(1 + 7x) - 6(-7 - x) = 36
Step 2: Solve for <em>x</em>
- Distribute: -1 - 7x + 42 + 6x = 36
- Combine like terms: -x + 41 = 36
- Subtract 41 on both sides: -x = -5
- Divide both sides: x = 5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-(1 + 7(5)) - 6(-7 - 5) = 36
-(1 + 35) - 6(-12) = 36
-(36) + 72 = 36
-36 + 72 = 36
36 = 36
All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.
Option B contain the expression where you can see perfect square. Thus, equation
(choice B) reveals its extreme value without needing to be altered.
To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:
The extreme value of this equation has a minimum at the point (2,5).