Answer:
A (0,3)
Step-by-step explanation:
The given trapezoid has vertices:
(0,6), (7,12), (7,9) and (0,12).
We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.
Note that the mapping for such a dilation is:
This implies that:
Therefore correct choice is (0,3)
Answer:
(1): "*-5x2y" was replaced by "*(-5x2y)".
(2): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(3x • (y2)) • (0 - (5x2 • y))
STEP
2
:
Equation at the end of step
2
:
3xy2 • -5x2y
STEP
3
:
Multiplying exponential expressions :
3.1 x1 multiplied by x2 = x(1 + 2) = x3
Multiplying exponential expressions :
3.2 y2 multiplied by y1 = y(2 + 1) = y3
I believe the answer is ( -3•5x3y3)
Answer:
∠B = 12°
∠C = 180 - 48° = 132° ( straight line angle = 180)
Sum of angles of a triangle = 180°
180 = ∠A + ∠B + ∠C
180 = ∠A + 12 + 132
180 - 144 = ∠A
∠A = 36°
option B
Answer:
Step-by-step explanation:
Usually, this wording means the decrease is proportional to the current price, characteristic of an exponential function.
__
The decay factor is 1-(decay rate), so is 1-0.15 = 0.85. After 3 years, the value has been multiplied by this factor 3 times:
$50×0.85³ ≈ $30.71 . . . . cost in 3 years
_____
<em>Comment on percent per year</em>
Less often, the indicated decrease is intended to be <em>that percentage of the original price</em>. The result is that the price decreases by a constant amount each year, a linear decrease. This condition most often arises in conjunction with figuring depreciation in value for tax or accounting purposes.
The upshot is that you always need to be careful to understand what the base of a percentage is intended to be.
Answer:
22.60% probability that exactly 3 people are repeat offenders
Step-by-step explanation:
For each driver arrested selected, there are only two possible outcomes. Either they are repeat offenders, or they are not. The probability of an arrested driver being a repeat offender is independent from other arrested drivers. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders;
This means that
Suppose 28 people arrested for DUI in Illinois are selected at random.
This means that
a) What is the probability that exactly 3 people are repeat offenders
This is
22.60% probability that exactly 3 people are repeat offenders