Answer:
Step-by-step explanation:
Given
--- Population
--- those that liked sugar cereals
Required
Probability that three selected like sugar cereals
The probability that the first adult selected likes sugar cereals is:
The probability that the second adult selected likes sugar cereals is:
We subtracted 1 because it is a probability without replacement
Similarly:
The required probability is calculated as follows:
Answer:
x= 3, y=0, z= 1
Step-by-step explanation:
Let's label the 3 given equations first.
2x +3y +4z= 10 -----(1)
3x +2y -4z= 5 -----(2)
x +4y +2z= 5 -----(3)
(1) +(2):
<em>This</em><em> </em><em>is</em><em> </em><em>to</em><em> </em><em>eliminate</em><em> </em><em>the</em><em> </em><em>z</em><em> </em><em>term</em><em>.</em>
2x +3y +4z +3x +2y -4z= 10 +5
5x +5y= 15
<em>Divide</em><em> </em><em>by</em><em> </em><em>5</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
x +y= 3 -----(4)
(3) ×2:
2x +8y +4z= 10 -----(5)
(2) +(5):
<em>This</em><em> </em><em>is</em><em> </em><em>to</em><em> </em><em>eliminate</em><em> </em><em>z</em><em> </em><em>term</em><em>.</em>
3x +2y -4z + 2x +8y +4z= 5 +10
5x +10y= 15
<em>Divide</em><em> </em><em>by</em><em> </em><em>5</em><em> </em><em>throughout</em><em>.</em>
x +2y= 3 -----(6)
(6) -(4):
x +2y -(x +y)= 3 -3
x +2y -x -y= 0
y= 0
subst. y=0 into (4):
x +0= 3
x= 3
subst. x=3, y=0 into (3):
3 +4(0) +2z= 5
3 +2z= 5
2z= 5 -3
2z= 2
z= 2÷2
z= 1
Tricky question. This isn't a ratio question even though it seems like one.
First divide 7 by 4.
With more men, the hours taken to repair a road will be even shorter.
So next divide 6 by 1.75.
Answer : It'll take 3.43 hours to do the job if they work at the same rate.
Hope this helps. - M
The perimeter solved shows that the dimensions of the rectangle are 32 and 10.
<h3>How to calculate the perimeter</h3>
Let the width be w
Length = 3w + 2
Perimeter = 2(length + width)
Perimeter = 2(3w + 2) + 2w
6w + 4 + 2w = 84
8w + 4 = 84
8w = 84 - 4
w = 80/8
w = 10
Length = 3w + 2
Length = 3(10) + 2
Length = 32
The dimensions of the rectangle are 32 and 10.
Learn more about perimeter on:
brainly.com/question/19819849
Answer:
From image I to image II : Reflected over the line x = 0
Step-by-step explanation: