Answer:
a = 16
Step-by-step explanation:
6 = a/4 + 2
4 = a/4 Subtract 2 from both sides
16 = a Multiply 4 to both sides
To solve this, set up a proportion. 72/21.6=110/x Cross multiply. 72x=2376. Solve x=33
Answer:
8/15
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. The probability that an event will happen added to the probability that the event will not happen gives 1. In other words, the outcome of a probability cannot exceed 1.
The probability that an event a will happen or that another independent event b will happen is the sum of the probability that a will happen to the probability that b will happen.
Given that there are 25 red clips, 15 blue clips, 15 green clips and 20 pink clips,
total number of clips available
= 25 + 15 + 15 + 20
= 75
probability of picking a
red paper clip = 25/75
blue paper clip = 15/75
Probability of selecting red or blue paper clip
= 25/75 + 15/75
= 40/75
= 8/15
The point that is not included in the solution set for the inequality in the graph is (-1, 3).
<h3>How to explain the graph?</h3>
In the information given, (h, k) is the vertex point. In the graph, the vertex point will be (1, 2). The equation will be:
y = a(x + 1)² + 2
By the point of the graph(0, 3) the value of a will be:
3 = a(0 - 1)² + 2
3 = a + 2
a = 3 - 2
a = 1
The equation this becomes:
y = 1(x - 1)² + 2.
y = x² - 2x + 1 + 2
y = x² - 2x + 3
Therefore, the point that is not included in the solution set for the inequality is (-1, 3).
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