Answer:
(i) Not true for any cases, (ii) True for some cases, (iii) True for some cases, (iv) True for all cases.
Step-by-step explanation:
Now we proceed to check each statement in terms of concepts of function from Analytical Geometry:
(i) <em>Two lines that have the same y-intercept and the same slope intersect at exactly one point. </em>
False, two lines that have the same y-intercept and the same slope intersect at every point. Both lines are coincident. (Answer: Not true for any cases)
(ii) <em>Two lines that have the same y-intercept intersect at exactly one point. </em>
Conditionally true, two lines that have the same y-intercept intersect at exactly one point if and only if slopes are different. (Answer: True for some cases)
(iii) <em>Two lines that have the same slope do not intersect at any point. </em>
Conditionally true, two lines that have the same slope do not intersect at any point if and only if they share the same y-intercept. (Answer: True for some cases)
(iv) <em>Two lines that have two different slopes intersects at exactly one point.</em>
True, two lines that have two different slopes intersects at exactly one point no matter what y-intercepts they have. (Answer: True for all cases)
Answer:
Is in the attachment.
<em>Hope it helps you</em>
<em>If you have any questions just ask me </em>
<em>If you think my answer is the best mark me as brainliest</em>
The possible outcomes for 1 HEAD and 3 TAILS are
HTTT
THTT
TTHT
TTTH
Assuming the coin is a fair coin, we have:
Probability of tossing head is 0.5
Probability of tossing tail is 0.5
Probability of tossing the coin four times for each outcome combination listed above is
HTTT = 0.5×0.5×0.5×0.5 = 0.0625
THTT = 0.5×0.5×0.5×0.5 = 0.0625
TTHT = 0.5×0.5×0.5×0.5 = 0.0625
TTTH = 0.5×0.5×0.5×0.5 = 0.0625
Hence, probability of getting three tails and one head from 4 tossing is
4×0.0625 = 0.25
So 6 in pond
some on grass
# in pond+# in grass=14
6 in pond
subsitute 6 for pond
6+# in greass=14
subtract 6 from both sides
6-6+# in grass=14-6
0+# in grass=8
# in grass=8
there are 8 ducks in grass
so you would draw a circle for the pond and put 6 circles in there to represent the ducks, then , outside of that big circle, draw 8 circles to represent the 8 ducks on the grass (maybe label the big circle as pond and outside as grass)
