$29.22 because $100-$70.78=$29.22
Hope I helped let me know.
X= -4
Work: 1^x/4^x=256
1^x= 256 * 4^x
In 1^x = In 256 * 4^x
xIn1 = In 256+ In4^x
x*0= xIn 4 + In 2^8
0= xIn 2^2 + 8In 2
x In 2^2 + 8In 2 =0
x* 2In 2 + 8In 2=0
2In 2x + 8In 2=0
2In 2x = -8In 2
x= -8/2
x=-4
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
The value of x is 2.5.
The price of the cake should be 25 - 2.5 = 22.5.
Thus, the price of the cake that will give the maximum potential revenue is $22.5.
Answer:
0.0098
Step-by-step explanation:
Given,
- Probability of test is positive if the person has disease, P(T/D)=0.99
Probability of test is negative if the person has disease,
P(T'/D) = 1-0.99 = 0.01
- Probability of test is negative if the person hasn't disease, P(T'/D')= 0.99
Probability of test is positive if the person hasn't disease,
P(T/D') = 1 - 0.99 = 0.01
- Probability of occurrence of disease, P(D) = 0.0001
Probability of not occurrence of disease,
P(D) = 1 - 0.0001 = 0.9999
Probability that test will be positive either disease is present or not,
P(T) = P(T/D).P(D)+P(T/D').P(D')
=0.99 x 0.0001 + 0.01 x 0.9999
= 0.000099 + 0.009999
= 0.010098
So, the probability that the person will have disease if the test is positive,
= 0.0098
So, the required probability will be 0.0098.
X^3 - 21x = -20
add 20 to both sides
x^3 - 21 x + 20 = 0
Rational Root Theorem:
Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20
-------------------------------
Factors of Q (leading Coefficient) = 1
Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1
Of the choices given only the number 1 is a possible root.
