Answer:
y = 6x + 7.
Step-by-step explanation:
Using the point-slope form of a line
y - y1 = m(x - x1)
m = 6, x1 = 6 and y1 = 43:
y - 43 = 6(x - 6)
y - 43 = 6x - 36
y = 6x - 36 + 43
y = 6x + 7.
Answer:
x = -8 and x = 4
Step-by-step explanation:
given
f(x) = (x+8) (x - 4)
recall that at any point on the x-axis, y = 0 [i.e f(x) = 0]
hence to find where the graph crosses the x-axis, we simply substitue f(x) = 0 into the equation and solve for x
f(x) = (x+8) (x - 4)
0 = (x+8) (x - 4)
Hence
either,
(x+8) = 0 ----> x = -8 (first crossing point)
or
(x-4) = 0 ------> x = 4 (second crossing point)
Hence the graph crosses the x-axis at x = -8 and x = 4
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:
Angle F is 50° because their side lengths are different but the angle measurements did not change. All triangles add up to 180 degrees and a right angle is 90 and it gives you the other angle measurement. So you would do 40 plus 90 which would get you 130. To find the last angle you would do 180 minus 130 which is 50. Angle F is 50 degrees.
Step-by-step explanation:
this is what i would say
Okay so what you want to do is find the mcd or most common denomanater
to do that you want to list out the factors of 3 and 6. after you do that you should see the the mcd is 6. so now 6 is your new denamanater. so you keep 5/6 and for 2/3 you multiply the top and bottum by 2 so your new fraction is 4/6
so there isnt a correct answer to thing question
