Answer:
Second box
Third box
fifth box
Step-by-step explanation:
Answer:
1.6
this is a rational number, since it can be written in fraction form, however it is not an integer because it is a decimal number and not a whole number.
Answer:
B
Step-by-step explanation:
Yes, because the sample size is at least 30, and we have a random sample.
We have our sample size to be 33% of the student = 33 student (approx)
- According to conditions of normality which states that the sample size collected from a normally distributed population with 100 students should have a sample size of at-least 30 students.
- This condition approximates that the sample collected is also random and and follows a normal distribution like the population ( i.e total number of students = 100 ) itself.
- However, the spread of the data sigma = 3,000 is very large but it does not invalidates the condition of normally distributed sample, it only means that values are spread wide about the mean = 400.
B. Altitude
An altitude connects the vertex of a triangle with the opposite side creating a right angle
Answer:
98
Step-by-step explanation:
An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:
![\frac{(92+86+83+90+91+x)}{6}=90](https://tex.z-dn.net/?f=%5Cfrac%7B%2892%2B86%2B83%2B90%2B91%2Bx%29%7D%7B6%7D%3D90)
The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).
The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.
Furthermore, we know all of this has to equal 90 because that's the average we're looking for.
Now we just solve for x.
Step 1) Multiply by 6:
![92+86+83+90+91+x=90 \times 6](https://tex.z-dn.net/?f=92%2B86%2B83%2B90%2B91%2Bx%3D90%20%5Ctimes%206)
Step 2) Simplify equation:
![442+x=540](https://tex.z-dn.net/?f=442%2Bx%3D540)
Step 3) Subtract 442:
![x=540-442=98](https://tex.z-dn.net/?f=x%3D540-442%3D98)
Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.