Hey there! I'm happy to help!
Let's set this up as a proportion (2 equal ratios).
If you multiply the diagonal numbers, their products will be equal. (412×g=103×184). This is called cross multiplying. Now we can solve for g.
412g=18952
Divide both sides by 412.
g=46
Therefore, the boat will need 46 gallons of gasoline to go 184 miles.
Have a wonderful day! :D
It is given that
a+b=20 -------------------- (1)
b+c=30 -----------------------(2)
We have to calculate
3 a + 4 b +7 c
Now multiplying equation(1 )by 3,we get
3 a+ 3 b=60 ----------------------------------(3)
and Multiplying equation( 2) by 4,we get
4 b + 4 c=120 -----------------------------------(4)
Adding expression (3) and (4),we get i.e left hand side of 3 to left hand side of 4 and right hand side of 3 to right hand side of 4.
3 a+ 3 b+ 4 b+ 4 c=60+120
Adding like terms, we get
3 a+ 7 b+ 4 c =180, Which is the required solution.
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(find the attachment below for the answer) :)
The expected value of the number of points for each turn is 0.25
<h3>What is expected value?</h3>
Expected value describes the long term average level of a random variable based on its probabilty distribution.
Now, Probability that 2 heads come up is
P(2 is H) = 1/4
Probability that 1 heads come up is
P(1 is H) = 2/4
⇒P(1 is H) = 1/2
Probability that no head will come up
P(no H's) = 1/4
Hence, the expected value for winning of 2points, 1point and lose of3 points is given as-
Expected value = 2 * P(2 is H) + 1 * P(1 is H) - 3 * P(no H's)
⇒Expected value = 2 * 1/4 + 1 * 1/2 - 3 * 1/4
= 0.5 + 0.5 - 0.75
⇒Expected value = 0.25
More about Expected value :
brainly.com/question/22715250
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Let c = hypotenuse and a = leg 1 and b = leg 2. If c² > a² + b², then it is obtuse. If it is less, then it is acute. I hope it helps.
