Answer:
{13.7756,18.2244}
Step-by-step explanation:
Given the sample size, the margin of error can be calculated with the formula 
where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:
The formula for a confidence interval is 
where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:
![CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}](https://tex.z-dn.net/?f=CI%3D%5Cbar%7Bx%7D%5Cpm%5BM%5D%3D16%5Cpm2.2244%3D%7B13.7756%2C18.2244%7D)
Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}
The simplified form of the given expression is -18. The correct option is the third option- -18
<h3>Simplifying an expression</h3>
From the question, we are to simplify
|3-10| - (12 ÷ 4 + 2)²
Simplifying
|3-10| - (12 ÷ 4 + 2)²
|-7| - (3 + 2)²
7 - (5)²
7 - 25
= -18
Hence, the simplified form of the given expression is -18. The correct option is the third option- -18
Learn more on Simplifying an expression here: brainly.com/question/24128186
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Answer:
59
Step-by-step explanation:
We know that all the angles must add up to 180
so we have
38+2b-20+b-15=180
solve for b
3b+3=180
3b=177
b=59
Answer:
80
Step-by-step explanation:
A quadrilateral measured 360. if you do not know that you can multiply 360 by 2 because there are 2 triangles in a quadrilateral. Then you subtract 360 by 75,115, and 90. And you will get 80 degrees
Answer:
x<0.5
Step-by-step explanation:
this is just like simplifiying equations if you've done that before
first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)
so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.
Then you subtract 3 from both sides to get 8x<4
after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5
just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number
