This is an exponential growth problem. Exponential growth can be expressed mathematically in the following way:
.
Parameter a presents initial amount.
Parameter r is percentage increase.
Parameter t is time.
An equation that would describe given problem is:
t is the time in years.
I attached the graph of this function.
Answer: Let's start by writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
Hope this helps plz mark brainliest
Step-by-step explanation:
Answer:
The claimed proportion (population) is
The sample proportion (p-hat) is
Step-by-step explanation:
In the population, we have the parameter p that is 11%.
Then, a sample of n=160 is taken and the proportion of the sample is 0.10.
The sample proportion p-hat can differ from the population's proportion. There is a sampling distribution that gives the possible values of the sample proportion taken out of this population and its associated probabilities.
Using it's concept, the probability of choosing a number that is a multiple of 9 is of 0.111.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
From 1 to 81, there are 81 numbers, of which 81/9 = 9 are multiples of 9, hence, considering that 81 is the number of total outcomes and that 9 is the number of desired outcomes, the probability is given the following division:
p = 9/81 = 1/9 = 0.111.
More can be learned about probabilities at brainly.com/question/14398287
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