y = 2x + 1 is the equation of line in slope intercept form
<em><u>Solution:</u></em>
Given that we have to write the slope intercept form
<em><u>Let us first find the slope of line</u></em>
<em><u>The slope of line is given by formula:</u></em>
Here the given points are (2, 5) and (0, 1)
<em><u>Substituting the values in formula,</u></em>
Thus slope of line is 2
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c --------- eqn 1
Where, "m" is the slope and "c" is the y intercept
<em><u>Substitute m = 2 and (x, y) = (0, 1) in eqn 1</u></em>
1 = 2(0) + c
c = 1
<em><u>Substitute c = 1 and m = 2 in eqn 1</u></em>
y = 2x + 1
Thus the equation of line in slope intercept form is found
Answer:
I am in middle school
Step-by-step explanation:
..
11 1/7 devided by 7 5/6 would be 1 139/329 you said to hurry so ...
Answer: The fraction x = 1/2 or its equivalent decimal form x = 0.5
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Work Shown:
AE = 2*(BD)
4x+8 = 2*(4x+3)
4x+8 = 8x+6
8-6 = 8x-4x
2 = 4x
4x = 2
x = 2/4
x = 1/2
x = 0.5
note: the first equation is set up basically saying that AE is twice that of BD; put another way, BD is half as long as AE. This is one property of midsegments. Another property is that AE and BD are parallel.
another note: if x = 0.5, then AE = 4*x+8 = 4*0.5+8 = 10 while BD = 4*x+3 = 4*0.5+3 = 5, showing that AE is indeed two times longer than BD.
Answer:
The probability is 0.258
Step-by-step explanation:
In this question, we want to know the probability of Krista getting exactly 3 out of the options she chooses right.
For all the questions, there are 4 questions with 4 options each
Total number of options is 4 * 4 = 16 options
there are 3 wrong options and one correct option per question. Total number of correct option is 4 and the total number of wrong options is 12
Probability of selecting a wrong option is 12/16 = 3/4 while the probability of selecting a correct option is 1/4
Thus, we can use a Bernoulli approximation to get this probability of getting three right.
let the probability of selecting a correct option be p and that of a wrong option be a.
Probability of selecting exactly three correct ones will be;
P(r = 3) = nCr p^r q^(n-r)
where n is the total number of options and r is the number of options we are selecting to be correct.
The probability = 12C3 * (1/4)^3 * (3/4)^9
= 220 * 0.015625 * 0.075084686279 = 0.258
