Answer:
4/9 or 44.44%
Step-by-step explanation:
We have the following probabilities:
Probability of winning the statistical test = P (s) = 2/3
Probability of winning the mathematics and statistics test = P (s n m) = 14/45
Probability of winning at least one test = P (s u m) = 4/5
We have that, the probability of winning the mathematics test P (m) can be found in the following way:
P (s n m) = P (s) + P (m) - P (s u m)
replacing we have:
14/45 = 2/3 + P (m) - 4/5
P (m) = 14/45 - 2/3 + 4/5
p (m) = 4/9 = 0.444
Which is the same as there is a 44.44% probability that I will win the math test
Answer:
4.8
Step-by-step explanation:
JK is twice as long as LM, so is 4.8 units long.
"Similar" means the sides of one figure have the same ratio as the corresponding sides of the other figure. We see that AB = 2×CD. JK corresponds to AB, and LM corresponds to CD.
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We could bother to calculate that sides of JKLM are 1.2 times as long as the corresponding sides of ABCD, but that is not necessary. We only need to find a convenient ratio between the side we want and some other known side. I like a ratio of 2, because it is easy to double a number. We find AB=2CD, so JK=2LM=2×2.4 = 4.8.
<h3>
<u>Required</u><u> Answer</u><u>:</u><u>-</u></h3>
This is an right angle ∆ and the side lengths containing a right angle are 9 and 11.
By Pythagoras theoram,

where p is the perpendicular, b is the base and h is the hypotenuse.
Plugging the values,

Then,


<h3>
<u>Hence:</u><u>-</u></h3>
The x of the right angled ∆ = <u>1</u><u>4</u><u>.</u><u>1</u><u>2</u>
8976+849589≤8934537-9835
You cannot draw a bar model here Sorry