Answer:
Choice A
1/17; no, they are dependent events
============================================
Explanation:
There are 13 spades and 52 cards total. So 13/52 = 1/4 is the probability of drawing one spade
If we do not replace the card we pull out, then the probability of another spade is 12/51 since there are 12 spades left out of 51 total.
Multiply the fractions 1/4 and 12/51 to get
(1/4)*(12/51) = (1*12)/(4*51) = 12/204 = 1/17
The two events are not independent because the second event (pulling out a second spade) depends entirely on what happens in the first event (pulling out a first spade). The fact that the probability is altered indicates we have dependent events.
we know that
4 cups of lemonade = 1 quart
1 gallon of lemonade = 4 quarts
1 gallon of lemonade = 16 cups
Step 1
<u> find the amount of lemonade that's left expressed in cups</u>
5 glasses * 2 cups = 10 cups
16 cups - 10 cups = 6 cups.
There are 6 cups of lemonade left.
Step 2
<u> find the amount of lemonade that's left expressed in quarts: </u>
4 cups = 1 quart.
(6 cups divided by 4 cups will equal the quarts.)
6/4=1.5
6 cups = 1.5 quarts.
There are 1.5 quarts of lemonade left.
Step 3
<u> find the amount of lemonade that's left expressed in gallons </u>
4 quarts = 1 gallon.
(1.5 quarts divided by 4 quarts will equal the gallon)
1.5/4=0.375
1.5 quarts = 0.375 gallon.
There is 0.375 gallon left of lemonade.
We have that
we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum
step 1
convert the equation of the parabola in the vertex form
the vertex (h,k) is the point (0,36)
Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)
Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0
the points are (-6,0) and (6,0)
see the attached figure
Answer:
This is not linear.
Step-by-step explanation:
<h2>
As you can see the difference between x and y decreases the higher we go.</h2>
