Hello :
the equation is : y -(-3) = 0(x-3)....(slope = 0 '<span>horizontal line')
y=-3</span>
Answer:
0.216
Step-by-step explanation:
Given that a certain new type of business succeeds 60% of the time.
3 such businesses are tested for success.
Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial
with p = 0.6 and n =3
Required probability
=The probability that all 3 businesses succeed is:
= 
16 = 2/5
16 ÷ 2 = 2/5 ÷ 2/1
8 = 1/5
8 * 5 = 1/5 * 5
40 = 5/5
You started the party with 40 brownies
Answer: 4x^2 -13x + 14
Step-by-step explanation:
(x^2 - 8x + 5)-(-3x^2 + 5x-9)
Subtract -3x^2 from x^2
(4x^2 - 8x + 5)-(5x-9)
Subtract 5x from -8x
(4x^2 -13x + 5)-(-9)
Subtract 9 from 5
4x^2 -13x + 14
<span>n = 5
The formula for the confidence interval (CI) is
CI = m ± z*d/sqrt(n)
where
CI = confidence interval
m = mean
z = z value in standard normal table for desired confidence
n = number of samples
Since we want a 95% confidence interval, we need to divide that in half to get
95/2 = 47.5
Looking up 0.475 in a standard normal table gives us a z value of 1.96
Since we want the margin of error to be ± 0.0001, we want the expression ± z*d/sqrt(n) to also be ± 0.0001. And to simplify things, we can omit the ± and use the formula
0.0001 = z*d/sqrt(n)
Substitute the value z that we looked up, and get
0.0001 = 1.96*d/sqrt(n)
Substitute the standard deviation that we were given and
0.0001 = 1.96*0.001/sqrt(n)
0.0001 = 0.00196/sqrt(n)
Solve for n
0.0001*sqrt(n) = 0.00196
sqrt(n) = 19.6
n = 4.427188724
Since you can't have a fractional value for n, then n should be at least 5 for a 95% confidence interval that the measured mean is within 0.0001 grams of the correct mass.</span>
