<h3>
Answer: y = 5x + 7</h3>
Work Shown:
y - y1 = m(x - x1)
y - (-3) = 5(x - (-2))
y + 3 = 5(x + 2)
y + 3 = 5x + 10
y = 5x + 10 - 3
y = 5x + 7
The equation is now in slope intercept form y = mx+b with m = 5 as the slope and b = 7 as the y intercept. Plugging x = -2 into this equation will lead to y = -3.
Side note: parallel lines have equal slopes but different y intercepts.
Answer:
(A) 0.15625
(B) 0.1875
(C) Can't be computed
Step-by-step explanation:
We are given that the amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 32 and 64 minutes.
Let X = Amount of time taken by student to complete a statistics quiz
So, X ~ U(32 , 64)
The PDF of uniform distribution is given by;
f(X) =
, a < X < b where a = 32 and b = 64
The CDF of Uniform distribution is P(X <= x) =
(A) Probability that student requires more than 59 minutes to complete the quiz = P(X > 59)
P(X > 59) = 1 - P(X <= 59) = 1 -
= 1 -
=
= 0.15625
(B) Probability that student completes the quiz in a time between 37 and 43 minutes = P(37 <= X <= 43) = P(X <= 43) - P(X < 37)
P(X <= 43) =
=
= 0.34375
P(X < 37) =
=
= 0.15625
P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875
(C) Probability that student complete the quiz in exactly 44.74 minutes
= P(X = 44.74)
The above probability can't be computed because this is a continuous distribution and it can't give point wise probability.
Answer:
$51.10
Step-by-step explanation:
First, find 20% of $35, then add the sale price of the jeans and the two t-shirts. Take the total and find the sales tax and add that onto the cost.
100 - 20 = 80 If you multiply the jeans by 80% it gives you the price for the jeans saving you from having to subtract the discount from the original price.
35 * 0.80 = $28.00 jeans 28.00 47.98
9.99 <u>+ 3.12</u>
<u> + 9.99</u> $51.10
47.98
<u>X 0.065</u>
$3.12
Answer:
n= 3 1/9
Step-by-step explanation:
3/8n= 5/6 + 1/3
3/8n = 7/6
n = 7/6 ÷ 8/3
n=28/9
n= 3 1/9