Answer:
5/18 is the answer to this question
Step-by-step explanation:
Answer:
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.
b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.
About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.6619.
The standard error of the proportion is:
The critical z-value for a 90% confidence interval is z=1.6449.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population proportion is (0.6290, 0.6948).
Answer:
20 rands/kg
130,000 kg
Step-by-step explanation:
The equilibrium quantity and price are the solution to the system of equations ...
p = 120 -0.7q
p = 3 + 0.2q
Setting these equal, we get ...
0.2q +3 = p = -0.7q +120
0.9q = 117 . . . . . . . add 0.7q-3 to both sides
q = 117/0.9 = 130
p = 3 +0.2·130 = 29
The equilibrium price of maize meal is 29 rands per kg; the market equilibrium quantity is 130,000 kg.
Jaun has to use inverse before using those properties as they does not support subtraction but only addition.
<u>Solution:</u>
Given that , Juan used the expression 16 – 9 – 12 + 22 to find his profit for days 2 and 3.
He rewrote the expression as 16 + (–9) + (–12) + 22
Juan can use the associative and commutative properties to rewrite the expression again.
We have to explain why he had to use the additive inverse before he could use these properties.
Now, Associative property and commutative property true for addition.
i) a + (b + c) = (a + b) + c ---> Associative property of addition
ii) a + b = b + a --> commutative property of addition.
These properties not true for subtraction.
That's the reason Juan used additive inverse before applying these property.
Hence, jaun has to use inverse before using those properties as they does not support subtraction but only addition.
3-3 x 6+2= -13
The answer= -13
