Answer:
A 404 mi
Step-by-step explanation:
If we designate the points of the triangle A, B, and C for the locations of the western station, eastern station, and balloon, respectively, we have the following:
∠CAB = 90° - 41° = 49°
∠CBA = 90° + 21° = 111°
∠ACB = 41° -21° = 20°
side "c" (opposite ∠ACB) is 148 miles
The distance we're asked to find is AC = b, the longest side of the triangle. The law of sines tells us ...
b/sin(B) = c/sin(C)
b = c·sin(B)/sin(C) = (148 mi)·sin(111°)/sin(20°) ≈ 403.98 mi ≈ 404 mi
Answer:
$53 + $14.50 = x
x = $67.50
Step-by-step explanation:
Let us assume the original price be x
It is given that
The discounted ticket is $53
And, the discounted concert ticket cost is $14.50 lower than the orginial price
So, the equation is
$53 + $14.50 = x
Now the x is
= $53 + $14.50
= $67.50
Hence, x denotes the original price of the ticket
We simply added the above two amounts
The probability that x will be at most 2 will be 0.89.
<h3>What is probability?</h3>
It should be noted that probability simply means the likelihood of the occurence of an event that's given.
Based on the information, let the number of points that can be scored on the statistics examination be depicted by x.
Therefore, the probability that x will be at most 2 will be:
= P(x = 0) + P(x = 1) + P(x = 2)
= 0.13 + 0.21 + 0.55
= 0.89
Therefore, the probability that x will be at most 2 will be 0.89.
Complete question:
Let x be the number of points that can be scored on 1 question of a statistics exam. Below is the probability distribution of how students did. x 0 1 2 3 P(x ) 0.13 0.21 0.55 0.11 Find the probability that x is at most 2.
Learn more about probability on:
brainly.com/question/24756209
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Answer:
A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. Please select the best answer from the choices provided A B C D
Answer:
a2=12 (the second term of the sequence is 12)
Step-by-step explanation:
a5=324
If the term to term rule is multiply by any number, we deal with geometrical sequence
The formula you should use is an= a1*r^(n-1) where n is the number of the term which we know. In our case we know
a5, so use 5 instead of n
Then you have a5=a1*r^4 where r is the number 3 (because each next term is greater than previous in 3 times)
a5=324
324= a1*3^4
324=a1*81
a1=4 (We find the first term of sequence, because having it you can easily search for every term )
Return to the formula an= a1*r^n-1
Now search for the second term using 2 instead of n in the formula
a2= a1*r^1
a2=a1*r, a1=4, r=3
a2=4*3=12
