Answer:
16.7%.
Step-by-step explanation:
There are initially
pencils in the bag.
Take a pencil out of this bag of 47 pencils. 15 out of the 47 pencils blue. Let
represent the event of getting a blue pencil on the first pick. The probability of getting a blue pencil is:
.
There are now
pencils left in the bag. However, given that the first pencil removed from the bag is blue, the number of red pencils in the bag will still be 24. Take another pencil out of this bag of 46 pencils. Let
represent the event of getting a red pencil on the second pick. The possibility that the second pencil is red given that the first pencil is blue will be:
.
The question is asking for the possibility that the first pencil is blue and the second pencil is red. That is:
.
Inequalities help us to compare two unequal expressions. The inequality for this scenario in standard form is 2x + 3y > 30.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Let the safety counts be represented by x, while the field goal count is represented by y.
Part A: The inequality for this scenario in standard form.
2x + 3y > 30
Part B: The inequality in slope-intercept form.
2x + 3y > 30
3y > 30 - 2x
y > 10 - (2/3)x
y < (2/3)x - 10
PartC: The inequality is represented below.
Learn more about Inequality:
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Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.
<h3>Variation</h3>
y = k × x
where,
k = constant of proportionality
y = -40
x = -5
y = k × x
-40 = k × -5
-40 = -5k
k = -40/-5
k = 8
when,
y = 8 and x = 2.5
y = k × x
8 = k × 2.5
8 = 2.5k
k = 8/2.5
k = 3.2
when,
y = 5 and x = 4
y = k × x
5 = k × 4
5 = 4k
k = 5/4
k = 1.25
Learn more about variation:
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That would be 725,000 because of the 8 in the hundreds place
Step-by-step explanation:
is funtion D
because it is not repeated