Answer:
13.57 < µ < 15.43
Step-by-step explanation:
Assume: We have to assume the sample comes from a normally distributed population because we do not know the population standard deviation.
We assume that it was a random sample.
Do not assume: The sample size is at least 30 because we are that it's 10. Don't assume the variance is less than the mean because we can calculate it and will know for sure.
To find a 90% confidence interval we need to find the sample mean and sample standard deviation. See attached photo 1 for the calculations
See attached photo 2 for the construction of the confidence interval
Answer:
7x + 14
Step-by-step explanation:
the first thing to do is expand the parentheses/brackets.
3(5x + 2) -2(4x - 4) will be
3(5x) + 3(2) -2(4x) -2(-4)
= 15x + 6 - 8x + 8
collect like terms
15x - 8x + 6 + 8 = 7x + 14
the answer is 7x + 14
Use the proportion equation. Cross multiply. Answer is 10.4%
The ratio of of number of homework papers to number of exit tickets of Mr Rowley and Ms. Alvera are not equivalent.
<h3>Ratio</h3>
A ratio is a number representing a comparison between two named things. It is also the relative magnitudes of two quantities usually expressed as a quotient.
Mr Rowley:
- Homework papers = 16
- Tickets to return = 2
Ratio of number of homework papers to number of exit tickets = 16 : 2
= 16 / 2
= 8 / 1
= 8 : 1
Ms Alvera:
- Homework papers = 64
- Tickets to return = 60
Ratio of number of homework papers to number of exit tickets = 64 : 60
= 64/60
= 16 / 15
= 16 : 15
Therefore, the ratio of of number of homework papers to number of exit tickets of Mr Rowley and Ms. Alvera are not equivalent.
Learn more about ratio:
brainly.com/question/2328454
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If you want to use integer tiles to find the product of 2(-5), think of it as you having 2 groups of 5 negative tiles, that is
-1 -1
-1 -1
-1 -1
-1 -1
-1 -1
Think of it as you having each of the -1 inside it's distinct tile. Now adding up these tiles you have -10.
Therefore 2(-5) is -10 using integer tiles.
If we are to use the number line, first draw your number line, then think of it as jumping twice while each jump is -5 big.
So the first jump from 0 will land on -5 and the second jump will land on -10 and that is the required answer using the number line.
