The true statement is (b) use of incorrect header
<h3>How to determine the true statement?</h3>
The product expression is given as:
(-2x - 1)(2x - 1)
Expand the expression
(-x - x - 1)(x + x - 1)
This means that the header of the algebra tiles would be:
-x, -x, 1 and x, x and -1
From the figure, we can see that this is incorrectly represented
Hence, the true statement is (b)
Read more about algebra tiles at:
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The division property of equality because you divide 20 by 5 to get the x value.
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Answer:
The expected number of times is 4.
Step-by-step explanation:
Looking at the question, we see that this follows a geometric distribution because it is asking for the expected number of trials hat will bring about the FIRST SUCCESS. The probability of success is
Since it is a geometric distribution, we know that the expected value of a random variable X, E(X) that follows a geometric distribution is given as:
E(X) = 1/p where p is the probability of success.
Therefore, the expected number of times will be
E(X) = 1/(1/p) = 1/(1/4) = 4.
Hence, the expected number of times is 4.
Answer:
Step-by-step explanation:
I can see why you are having a little bit of trouble with this. The equation is not very well explained. I take it that y is the number of blooms total that each rose bush has. The "y intercept" is 4 which means that the bush has 4 blooms. In order to have just 4 blooms it means that x = 0 -- she hasn't added any fertilizer.
The following answers are,
11. 60°
12. ∠ABC
13. 60°
14. Supplementary
Step-by-step explanation:
11. In ABC triangle,
∠BAC = m∠1 = 30° and ∠ACB = 90°
∠BAC + ∠ABC + ∠ACB = 180°
or, ∠ABC = 180°- (30°+90°)
=60°
12. ∠1 and ∠ABC are complementary angles.
If the sum of two angles are 90°, then the angles are called complementary angle to each other.
13. In ACD triangle,
∠CAD = m∠2 = 30° and ∠ACD = 90°
∠CAD + ∠ACD + ∠ADC = 180°
or, ∠ADC = 180°- (30°+90°)
=60°
Again, ∠ADC + ∠ADE = 180°
or, ∠ADE = 180° - 60° = 120°
14. ∠ADC and ∠ADE are adjacent and supplementary.
