The length, we'll call it <em>l</em> is 2 meters less than the height, which we'll call <em>h</em>. The expression that will model this problem is <em>h-2</em><em>, </em>or as an equation, <em>l=h-2</em><em />.
:)
Step-by-step explanation:
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You are given a line is standard form, so to transform it to the slope-intercept form, you simply have to solve it for y, and you will have y=mx+b.
2y-3x=10 add 3x to both sides
2y=3x+10 divide both sides by 2
y=1.5x+5, since y=mx+b, m=slope and b=y-intercept
slope=1.5 and the y-intercept is, technically the point, (0, 5)
Answer:
11/64
Step-by-step explanation:
Each question can be answered in 2 ways
∴ Total ways in which 10 questions can be answered
=2¹⁰
No. of ways of guessing at least 7 questions
out of 10
=7 questions correct +8 questions correct
+9 questions correct +10 questions correct
= ¹⁰C7(1)⁷+ ¹⁰C8(1)⁸+ ¹⁰C9(1)⁹+ ¹⁰C10(1)¹⁰
= 120 + 45 + 10 +1
=176
..Required Probability =176/2¹⁰
.. =11×16/2¹⁰
=11/64
Answer:
(a) The probability that a randomly selected alumnus would say their experience surpassed expectations is 0.05.
(b) The probability that a randomly selected alumnus would say their experience met or surpassed expectations is 0.67.
Step-by-step explanation:
Let's denote the events as follows:
<em>A</em> = Fell short of expectations
<em>B</em> = Met expectations
<em>C</em> = Surpassed expectations
<em>N</em> = no response
<u>Given:</u>
P (N) = 0.04
P (A) = 0.26
P (B) = 0.65
(a)
Compute the probability that a randomly selected alumnus would say their experience surpassed expectations as follows:
Thus, the probability that a randomly selected alumnus would say their experience surpassed expectations is 0.05.
(b)
The response of all individuals are independent.
Compute the probability that a randomly selected alumnus would say their experience met or surpassed expectations as follows:
Thus, the probability that a randomly selected alumnus would say their experience met or surpassed expectations is 0.67.