Answer:
1) take the first part of the equation and work it by multiplying (x+2) by 3
3(x+2)+x
3x +6+x
2)put the answer you got into the question you were given
3x + 6+x =2x +16
3)group the x variables and the non x variables
3x +x -2x =16 -6
4) Now work the equation you have
3x+x-2x=16-6
4x-2x=16-6
2x=16-6
2x=10
5) you divide both sides by the x variable
2x=10
2x/2 =10/2
x=5
therefore x is 5
Answer:
$6960
Step-by-step explanation:
p is not the principle. It is the principal.
I = prt
p = $6000
r = 8% = 0.08
t = 2
I = ($6000)(0.08)(2)
I = $960
Total amount after 2 years = principal + interest
Total amount = $6000 + $960
Total amount = $6960
The 90% , 99% confidence interval for the population mean is 32.145 <
< 35.855 and 31.093 <
< 36.907
<h3>What is Probability ?</h3>
Probability is the study of likeliness of an event to happen.
It is given that
Total Population = 50
Mean = 35
The confidence interval is given by

is the mean
z is the confidence level value
s is the standard deviation
n is the population width
(a) The 90% confidence interval for the population mean
90%
= 0.05
Z = 1.64
34
1.64 * 8 / √50
34
1.855
32.145 <
< 35.855
(b) The 99% confidence interval for the population mean
99%
= 0.005
Z=2.57
34
2.57 * 8 / √50
34
2.907
31.093 <
< 36.907
Therefore the confidence interval for population mean has been determined.
The complete question is
A simple random sample of 50 items from a population width =7 resulted in a sample mean of 35. If required, round your answers to two decimal places.
a. Provide a 90% confidence interval for the population mean
b. Provide a 99% confidence interval for the population mean
To know more about Probability
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Answer: 0.0473
Step-by-step explanation:
Given : The proportion of gambling addicts : p=0.30
Let x be the binomial variable that represents the number of persons are gambling addicts.
with parameter p=0.30 , n= 10
Using Binomial formula ,

The required probability = 
Hence, the required probability = 0.0473
Answer:
20 mangos
Step-by-step explanation:
1. Divide $600 by 12. Your answer should be $50. This means that every mango costs $50.
2. You now need to solve the expression: 1000 ÷ 50 which equals 20. This means that with $1000 Jane can buy 20 mangos.