Answer:
Step-by-step explanation:
Let r = .25 probability of getting question right. and w = .75 prob getting it wrong.
since there are 10 questions, this will tell us what we want to know.
a) 1- doesn't get them all wrong.
1-
=1-.0563
=.9437
b) Probability of getting 6-10 answers right
=.0197
c)
This means 9 or 10 answer should be right
=.00003
d)
= 2.5 expected correct answers.
e)
Standard deviation for a binomial distribution is
=
=
=1.369
7+25 / 18
32/18
or
1 14/18
or
1 7/9
Answer: 32/18 or 1 14/18 or 1 7/9
Answer:
B
Step-by-step explanation:
The diagram shows four points through which the line of proportional relationship should pass. One of these points has coordinates (8,28).
The line representing proportional relationship is always straight line passing through the origin and has the equation
where k is the coefficient of proportionality.
Substitute coordinates of known point into the equation:
so the coefficient of proportionality is equal to
Answer:
72 in²
Step-by-step explanation:
We obtain the value of EC:
From Pythagoras :
EC = √CD² - DE²
EC = √10² - 6²
EC = √100 - 36
EC = √64
EC = 8
To obtain AE:
AE = √AB² - BE²
AE = √(√52)² - 6²
AE = √52 - 36
AE = √16
AE = 4
Hence, we can obtain the areas of each triangle :
△ABE = △ADE
△BCE = △CDE
AREA OF △ABE = 1/2 * base * height
= 1/2 * 4 * 6 = 12 in²
AREA OF △BCE = 1/2 * base * height
= 1/2 * 6 * 8 = 24 in²
HENCE, total area of fabric :
(2 * 12) + (2 * 24)
24 in² + 48 in²
= 72 in²