Answer: 0.819
Step-by-step explanation:
Given: X is a normally distributed random variable with mean 95 and standard deviation 3.
Then, the probability that X is between 89 and 98 will be:
Hence, the required probability = 0.819
Answer:
(A) With 99% confidence, the proportion that favours the Green initiative is between 418.895 and 423.105 (no approximation; answers were gotten exactly in 3 decimal places).
(B) If many groups of 593 (greater than the initial sample size of 556) randomly selected Americans were surveyed then a different confidence interval would be used or produced from each group.
About 90% of these confidence intervals will contain the true population proportion of Americans who favour the Green initiative and about 10% will not contain the true population proportion.
Step-by-step explanation:
(A) 99% of 421 = 416.79
421 - 416.79 = 4.21
4.21 ÷ 2 = 2.105
(421-2.105), (421+2.105)
The lower and upper limits are:
[418.895 , 423.105]
(B) A wider confidence interval such as 90% will be better suited in a case of multiple samples like this.
Answer:
x= -120
Step-by-step explanation:
-x/6+6+6=32
- Use -a/b=a/-b= -a/-b to rewrite the fraction.
- -x/-6+6+6=32
- Add the two 6's then you get 12
- -x/-6+12=32
- Multiply both sides with the equation by 6
- -x+72=192
- Move the constant to the right-hand side and change its side
- -x=192+72
- Subtract the numbers, -x=192-72
- -x=120
- Change the signs on both sides of the equation
- You have your answer it is x= -120
Answer:
17cm^2 (17cm squared)
Step-by-step explanation:
you would split it up into 2 rectangles so ...
1 rectangle has the length and height of 4cm and 3 cm
and the other rectangle has a length and height of 5cm and 1cm
then you would do
4x3 which is 12cm^2
and 5x1 which is 5cm^2
add them together to get the answer of 17cm^2
I’m pretty sure the answer is (B) y= 3x + 8