Answer:
1st option
Step-by-step explanation:
given a quadratic function in standard form
f(x) = ax² + bx + c ( a ≠ 0 ) , then
• if a > 0 , the function opens up and has a minimum
• if a < 0 , the function opens down and has a maximum
here a =
> 0
then f(x) opens up and has a minimum
(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).
Answer:
The mean is 28.3 or 28
I added it all and then divided it by how many different numbers there were.
Answer:
a) 6.67% b) 500% c) 40% d) 7.5%
Step-by-step explanation:
a. ? % of 75 = 5
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 75 = 5</em>
<em>y% = 5/75</em>
<em>y% = 1/15 x 100</em>
y = 6.67 %
b) ?% of 28 = 140
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 28 = 140</em>
<em>y% = 140/28</em>
<em>y% = 5</em>
<em>y = 5 x 100</em>
y = 500%
c) ?% of 100 = 40
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 100 = 40</em>
<em>y% = 40/100</em>
<em>y% = 2/5</em>
<em>y = 2/5 x 100</em>
y = 40%
d) ?% of 200 = 15
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 200 = 15</em>
<em>y% = 15/200</em>
<em>y% = 3/40</em>
<em>y = 3/40 x 100</em>
y = 7.5 %
!!
Y(3-1)= 2y is the answer to the question