The probability that a biscuit picked at random contains chocolate
chips. = 1/5 , The Venn Diagram is attached with the answer.
<h3>What is Probability ?</h3>
Probability is defined as the study of likeliness of an event to happen.
It is given that
There are 30 biscuits in a tin
8 of the biscuits are iced, of which 6 contain chocolate chips
4 biscuits are neither iced nor contain chocolate chips.
the probability that a biscuit picked at random contains chocolate
chips.
There are total 6 biscuits which have chocolate chips
The probability that a biscuit picked at random contains chocolate
chips. = 6/8 *8/30 = 6/30 = 1/5
The probability that a biscuit picked at random contains chocolate
chips. = 1/5
The Venn Diagram is attached with the answer.
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Answer:
57 cm²
Step-by-step explanation
<em>l = length</em>
<em>w = width</em>
<em>p = perimeter</em>
<em />
<em>(5x - 1) = length</em>
<em>(11 - 2x) = width</em>
<em>44 = perimeter</em>
<em />
<em>Formula for the perimeter of a rectangle:</em>
<em>l + l + w + w</em>
<em>2l + 2w = p</em>
<em />
<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>
<em></em>
<em>2(5x - 1) + 2(11 - 2x) = 44</em>
<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>
6x + 20 = 44
6x = 24
x = 4
<em>Plug x = 4 back into the length and width.</em>
Length = (5x - 1), (5(4) - 1), (19)
Width = (11 - 2x), (11 - 2(4)), (3)
<em>Area for a rectangle: Length × Width = Area.</em>
<em>19 × 3 = 57 cm²</em>
<em>This is all in cm so answer with cm²</em>
so, three bags can be filled and 0.33 or 0.33*(1/3) =11/100 nails will be left
Step-by-step explanation:
We will get the number of bags that can be filled from 5/12 by dividing the total amount by the 1/8
Given
Total nails in bag = 5/12 pounds
The capacity of small bag = 1/8 pounds
So,
so, three bags can be filled and 0.33*(1/3) = 11/100 nails will be left
Keywords: Division, Quotient
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(7,5)(-4,-1)
slope = (-1-5) / (-4-7) = -6/-11 = 6/11
y - y1 = m(x - x1)
slope(m) = 6/11
(-4,-1)...x1 = -4 and y1 = -1
now we sub...pay close attention to ur signs
y - (-1) = 6/11(x - (-4) ...not done yet...
y + 1 = 6/11(x + 4) <===
