Which set of ordered pairs represents a function? {(0, 1), (1, 3), (1, 5), (2, 8)} {(0, 0), (1, 2), (2, 6), (2, 8)} {(0, 0), (0,
11111nata11111 [884]
Answer: {(0, 2), (1, 4), (2, 6), (3, 6)}
Step-by-step explanation:
For a relation to be considered a function, each x-value needs to have one corresponding y-value--it cannot have more than 1.
Since all the other sets of ordered pairs feature points with two x-values with different y-values, the set above is the only function of the provided options.
Answer:
18.75 percent
Step-by-step explanation:
150 / 800 x 100 = 18.75
Answer:
It's a perfect cube, but not a perfect square.
Step-by-step explanation:
2^3 = 8, meaning 8 is a perfect cube. But since 2^2 = 4 and 3^2 = 9, and 8 is in between, 8 is not a perfect square.
I hope this helped.
Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.
Explanation:
1. As n increases, the sample mean approaches the population mean
(The Law of Large numbers)
2. The standard error of the sample is
σ/√n
where σ = population standard deviation.
As n increases, the standard error decreases, which means that the error
between the sample and population means decreases.
Answer:
A lily costs $7 and a geranium $4.
Step-by-step explanation:
From the question, we can write two equations. let the number of lilies be l and the number of geraniums be g, then:
5
g
+
4
l
=
48
4
g
+
6
l
=
58
Multiply the first equation by 4 and the second by 5, the number of lilies in the other gives:
20
g
+
16
l
=
192
20
g
+
30
l
=
290
Subtract the first equation from the second gives:
14
l
=
98 which dividing by 14 gives l
=
7
Substituting the value l
=
7 in the first equation gives:
5
g
+
28
=
48
Subtract 20 from both sides gives:
5
g
=
20 divide by 5 gives g
=
4
So, a lily costs $7 and a geranium costs $4.
