Tamar is thinking of a number in the hundredths. Her number is greater than 0.8 and less than 0.9. The greatest digit in the num
2 answers:
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Answer:
Explained below.
Step-by-step explanation:
(1)
The confidence level is, 91%.
Compute the value of α as follows:
(2)
As the population standard deviation is provided, i.e. <em>σ</em> = 256 psi, the <em>z</em> value would be appropriate.
The <em>z</em> value for α = 0.09 is,
<em>z</em> = 1.69
(3)
Compute the 91% confidence interval as follows:
(4)
The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.
I'm not going to do the entire question, but I'll do the first part.
For the first part, you have to set up an inequality. Use context clues, such as no more than (the one used in this sentence) to figure out what the symbol should be for the inequality.
In this case, because it is NO MORE THAN 6400, it would be:
6400
250r + 475p
where r represents the # refrigerators, and p represents the # pianos
Now that you have the equation, make the graph, then for the 3rd part, plug in 12 and 8 to r and p to see if it keeps the inequality true.
Hope this helps! :)
For the first part, you have to set up an inequality. Use context clues, such as no more than (the one used in this sentence) to figure out what the symbol should be for the inequality.
In this case, because it is NO MORE THAN 6400, it would be:
6400
where r represents the # refrigerators, and p represents the # pianos
Now that you have the equation, make the graph, then for the 3rd part, plug in 12 and 8 to r and p to see if it keeps the inequality true.
Hope this helps! :)
Given parameters:
Length of earring hook = 1.5cm
Length of given wire = 45cm
Dimension of the triangle = 3.2cm, 3.2cm and 2.1cm
Unknown:
Number of earrings that can be made from the wire = ?
To solve this problem, we need to calculate the total length of the earring we want to make.
Total earring length = Perimeter of earring + length of earring hook
= 3.2 + 3.2 + 2.1 + 1.5
= 10cm
Now the length of the wire is 45cm,
Number of earrings = = 4.5 earrings
But this is not reasonable, therefore, we can only forge 4 complete earrings from the given length with 5cm of wire remaining.
The number of earrings that can be made is 4.