Answer:
a. Mean = 20
Sd = 4
b. Probability of X = 20 = 0.1960
Step-by-step explanation:
we have
n = 25
p = 80% = 0.8
mean = np
= 0.8 * 25
= 20
standard deviation = √np(1-p)
= √25*0.8(1-0.8)
=√4
= 2
probability that exactly 20 favours ban
it follows a binomial distribution
= 25C20 × 0.8²⁰ × 0.2⁵
= 53130 × 0.01153 × 0.00032
= 0.1960
Probability of X = 20 = 0.1960
Answer:
5:5 (first box, pencils to pens)
7:3 (second box, coloured pencils to crayons)
The probability of picking a pen (1st box): 5/10
The probability of picking a crayon (2nd box): 3/10
Probability of picking both: 5/10*3/10 = 15/100
the answer to this question is y=2x.
Answer:
There is a flat fee involved, which is the y-intercept of the line.
The line eats the points:
(3, 435)
and
(5, 625)
the slope is 190/2 = 95
B = y - mx = 435 - (95)(3)
= 435 - 285
= 150
The linear function is:
y = 95x + 150
So for x=2, it will cost
95(2) + 150 = 190 + 150 = 340
435 + 625 + 340 = 1400
Step-by-step explanation:
Answer:
It would be a/c
Step-by-step explanation:
Since you're solving for angle F, you have to look at it from the angle F's perspective. Sin is opposite/hypotenuse. I recommended labeling the sides with H, O and A to make it less confusing. The letter opposite angle F is a, so you can label that "O". The side adjacent to angle F is b, so label that side "A" and the side c can be labeled as "H". Since sin is O/H, the correct answer would be a/c.
