Please help for 10 points and 5 stars with 1 thanks! :]
1 answer:
probability = favourable outcomes/total outcomes
you need 1 banana, out of 4 and there are total of 6 items so probability will be 4/6
when you take out 1 banana, there are 3 banana left and total of 5 items
so probability of this action will be 3/5
now, next action is taking out another banana.
this is NOT an independent event.
so by we will multiply the probabilities of these events according to rule of products.
so the answer is
or 2×100/5=40%
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Given:
baked: 6 <span>cookies and 4 brownies
can bake 25 more either </span><span>cookies or brownies
</span><span>Let x represent the number of more cookies that Midge can bake
Let y represent the number of more brownies that Midge can bake.
cookies = 6 + x
brownies = 4 + y
(6 + x) + (4 +y) </span>≤ 25
10 + x + y ≤ 25
x + y ≤ 25 - 10
x + y ≤<span> 15
y </span>≤ <span>15 - x
</span><span>The following graphs best represents the relationship between x and y is:
</span>
<span>line joining ordered pair 0, 15 and 7, 8 and the region below this line which lies in the first quadrant is shaded</span><span>
</span>
baked: 6 <span>cookies and 4 brownies
can bake 25 more either </span><span>cookies or brownies
</span><span>Let x represent the number of more cookies that Midge can bake
Let y represent the number of more brownies that Midge can bake.
cookies = 6 + x
brownies = 4 + y
(6 + x) + (4 +y) </span>≤ 25
10 + x + y ≤ 25
x + y ≤ 25 - 10
x + y ≤<span> 15
y </span>≤ <span>15 - x
</span><span>The following graphs best represents the relationship between x and y is:
</span>
<span>line joining ordered pair 0, 15 and 7, 8 and the region below this line which lies in the first quadrant is shaded</span><span>
</span>
Answer:
The dimensions of the larger cylinder are 3 times the dimensions of the smaller cylinder
The surface area of the larger cylinder is 3^2. or 9 times the surface area of the smaller cylinder
If proportional dimensional changes are made to a solid figure, then the surface area will change by the square of the scale factor of similar solids
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the base of larger cylinder
y ---> the area of the base of smaller cylinder
so
we have
substitute
solve for z
<u><em>Verify each statement</em></u>
1) The dimensions of the larger cylinder are 3 times the dimensions of the smaller cylinder
The statement is true
Because the scale factor is equal to 3 ( see the explanation)
2) The surface area of the larger cylinder is 3^2. or 9 times the surface area of the smaller cylinder
The statement is true
Because, the surface area of the larger cylinder is equal to the surface area of the smaller cylinder multiplied by the scale factor squared
3) If proportional dimensional changes are made to a solid figure, then the surface area will change by the square of the scale factor of similar solids
The statement is true
because
If two figures are similar, then the ratio of its areas is equal to the scale factor squared