Answer:
x=1
Step-by-step explanation:
First find a common denominator between 7 and 4 which is 28, Multiply both equations by 28 eliminating the denominators so now you have theses two equations: 4(2x + 12) = 7(3x + 5) distribute these equations to get:
8x + 48 = 21x +35 now you want to get the x's on one side so 8-21 = -13 which as an equation so far would be -13x + 48 = 35 now do 35-48 = -13 so you can have 13x alone on one side. Your final equation now before you solve is
-13x = -13 the divide -13 by -13 to get 1.
Hope this helps you understand it better
Using the binomial distribution, it is found that there is a 0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.
For each person, there are only two possible outcomes, either they say yes, or they say no. The probability of a person saying yes is independent of any other person, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- The probability that the seventh person is the first to say yes is P(X = 0) when n = 6(first six say no) multiplied by 0.37(probability the seventh say yes).
- 37% say yes, hence

Then:



0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.
A similar problem is given at brainly.com/question/24863377
Answer:
22 miles per hour
Step-by-step explanation:
we know that
The speed is the ratio of distance by the time
Let
d -----> distance in feet
t ----> time in seconds
s ----> the speed in ft/sec

we have

substitute


Remember that


Convert ft/sec to mi/h

Answer:
452.16 m^2
Step-by-step explanation:
The surface area of a sphere is given by
A=4πr^2
= 4 * π * ( 6)^2
= 4 * π *36
144 π
Letting pi = 3.14
A is approximately 452.16 m^2
Answer:
27.33333... mph
Step-by-step explanation:
Find 1/3 of 20 1/2: 1/3*41/2=41/6
That equals 6.83333...
Now add 20 1/2 and 6.83333 = 27.3333...
Therefore, 27.33333... mph