Answer:
The choose (D)
D. Translate y = |x| up 4 units and shade inside the V.
Answer:
(a) x = -1.10 and x = 1.10
Step-by-step explanation:
A straightforward square root will give the value of x.
<h3>Solution</h3>
Divide by the coefficient of x^2:
x^2 -30/25 = 0
x^2 -1.20 = 0
Add 1.20, and take the square root.
x^2 = 1.20
x = ±√1.20 ≈ ±1.0954
x ≈ -1.10 and 1.10 . . . . . round to hundredths
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<em>Additional comment</em>
For small values of x, the root of (1+x) is approximately 1+x/2. For a root accuracy to the nearest hundredth, x < 0.21 (as here). For accuracy to the nearest thousandth, x < 0.064.
Answer:
<u>NOT BOTH BLACK = 1-2/25 = 23/25</u>
Step-by-step explanation:
Bag 1 : 8 non-black out of 10
P(1) = 8/10
Bag 2: 3 non-black out of 10
P(2)=3/5
Probability of both independent events happening can be calculated using the multiplication rule
P(1) and P(2) = P(1)*P(2) = 8/10 * 3/5 = 24/50 = <u>12/25 (both are not black, or none is black)</u>
Interpretating not both black meaning at most one black, then
we calculate the probability of both are black,
P(1) = 2/10
P(2) = 2/5
Probability that both balls are black can be calculated using the multiplication rule
P(1) and P(2) = 2/10 * 2/5 = 2/25
Probability that <u>NOT BOTH BLACK = 1-2/25 = 23/25, i.e. at most one black</u>
<u><em>Answer:</em></u>
The cylinder can hold 508.68 in³
<u><em>Explanation:</em></u>
<u>The volume of a cylinder can be calculated using the following rule:</u>
Volume of cylinder = πr²h cubic units
where r is the radius of the cylinder and h is its height
<u>Now, we are given that:</u>
height of cylinder = 18 in
diameter of cylinder = 6 in which means that the radius of the cylinder is 3 in
π is 3.14
<u>Substitute with the givens in the above equation to get the volume of the cylinder as follows:</u>
Volume of cylinder = πr²h
Volume of cylinder = 3.14 * (3)² * 18
Volume of cylinder = 508.68 in³
Hope this helps :)
