(a)
The binomial distribution can be used because the current situation satisfies all of the following:
1. The probability of success (p=85%) is known and remains constant during the whole experiment
2. The number of trials (n=40) is known and constant.
3. Each trial is a bernoulli trial (success or failure only)
4. All trials are (assumed) independent of each other.
The probability of x successes is therefore
P(X=x)=C(n,x)(p^x)(1-p)^(n-x)
(b) P(X=35) means the probability of 35 successes out of 40 trials at p=0.85
and
P(X=35)=C(40,35)*0.85^35*0.15^5=658008*0.003386*0.00007594
=0.16918
(c) P(X>=35)=∑ P(X=i) for i=35 to 40
=0.16918+0.13315+0.08157+0.03649+0.01060+0.00150
=0.4325
(d) P(X<20)=∑ P(X=i) for i=0 to 19
=0.00000003513 (individual probabilities are very small).
I believe it has to be about-9'300
<h3><u>y = 1/2x + 2 is the given equation in slope-intercept form.</u></h3>
3x - 6y = -12
Currently, this is in standard form.
In order to convert this to slope-intercept form, we need to isolate y.
Add 6y to both sides.
3x = -12 + 6y
Add 12 to both sides.
3x + 12 = 6y
Divide both sides by 6.
S+g=316 "s"=strawberry "g"=grape
g=52+s
plug in for "g" to find "s"
s+(52+s)=316
2s+52=316
2s=316-52
2s=264
s=264/2
s=132
find "g"
g=52+132
g=184
Answer:
2x^2 +5x-3
Step-by-step explanation:
(x+3)(2x-1)
FOIL
first :(x*2x) = 2x^2
outer: x*-1 = -x
inner: 3*2x = 6x
last: -1 *3 = -3
Add together
2x^2 -x+6x-3
Combine like terms
2x^2 +5x-3