It is the second bubble because there can only be one x per y. For example, (1,3) and (1,4) isn't a function because the x which is 1 has too many y
Let AB = t. And since X lies in the middle, so AX=BX = t/2 .
Let the height of the smaller flagpole is AO and of larger flagpole is BP .
Using tangent ratio rule in each triangle, we will get
And there ratio is
Answer:
Step-by-step explanation:
y = mx + b
slope(m) = 1/4
(-1,-4)...x = -1 and y = -4
now sub and find b, the y intercept
-4 = 1/4(-1) + b
-4 = -1/4 + b
-4 + 1/4 = b
-16/4 + 1/4 = b
-15/4 = b
so the equation in slope intercept form is : y = 1/4x - 15/4
but we need it in general form : Ax + By + C = 0
y = 1/4x - 15/4.....multiply everything by 4 to get rid of fractions
4y = x - 15......subtract x and add 15 ...to both sides
4y - x + 15 = 0 <=== general form
The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
<h3>Probability</h3>
a. Distribution
X ~ N (20 , 6)
b. P(x ≤24)
= P[(x - μ ) / σ (24 - 20) / 6]
= P(z ≤0.67)
= 0.74857
=0.7486
Hence:
Probability = 0.7486
c. P(21 < x < 26)
= P[(21 - 26)/ 6) < (x - μ ) / σ < (24 - 20) / 6) ]
= P(-0.83 < z < 0.67)
= P(z < 0.67) - P(z < -0.)
= 0.74857- 0.2033
= 0.54527
Hence:
Probability =0.54527
d. Using standard normal table ,
P(Z < z) = 66%
P(Z < 0.50) = 0.66
z = 0.50
Using z-score formula,
x = z× σ + μ
x = 0.50 × 6 + 20 = 23
23 Christmas cards
Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
Learn more about probability here:brainly.com/question/24756209
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Answer: 412.38
Step-by-step explanation: 0.79 x 522
