Answer:
The length of the diagonal AC=20 cm.
Step-by-step explanation:
From ΔOBP and ΔABC, we have
( O and P are mid points)
∠B=∠B(Common)
Therefore, by SAS rule,
ΔOBP is similar toΔABC
Thus, 
⇒
⇒
⇒
⇒
Thus, the length of the diagonal AC=20 cm.
Answer:
D
Step-by-step explanation:
it was right on edge
Complete question :
A test consists of 10 multiple choice questions. Each question has 5 choices. To pass the test, a student must answer at least 6 questions correctly. If a student guesses on each question, the probability of getting it right is 20%. What is the probability that the student will pass the test?
Answer:
0.006370
Step-by-step explanation:
Number of options = 5, with only one correct,hence, p = 1/5 = 0.2
Number of questions = 10
Number of correct answers required to pass = 6
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
p = 0.2 ; 1 - 0.2 = 0.8
n = 10 ; x = 6
P(x ≥ 6) = p(6) + p(7) + p(8) + p(9) + p(10)
The formula above can be used to obtain the individual probabilities then taking the sum or we can obtain the solution using a calculator ;
Using a binomial probability distribution calculator with the parameters given :
P(x ≥ 6) = 0.0063693824
= 0.006370 ( 4 decimal places)
Answer:
y=-2x-3
Step-by-step explanation:
Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b. Therefore:
Therefore, our slope is 1/2 and our y-intercept is 2. Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning 
(negative reciprocal). Now we must use the point slope formula:
Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:
Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.
Answer:
equation is y = x+4
Step-by-step explanation:
m = 1
y = mx + b
3 = 1*(-1)+b
3 = -1+b
b = 4
so
again
y = mx+b
y = 1x +4
so y = x+4
