Answer:
SA = 384 in ^2
Step-by-step explanation:
The surface area of a cube is given by
SA = 6 S ^2 where s is the side length
SA = 6 * (8) ^2
SA = 6 * 64
SA = 384 in ^2
EC = 24
This is because CBE is a right triangle with a right angle at angle ECB. Then we know that BC =7 and EB = 25. Use the Pythagorean Theorem to find EC.
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is lower than 800, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Answer:
C.) X=3 and X=-6/7
Step-by-step explanation:
Use the quadratic formula to solve
Answer:
Step-by-step explanation:
<h3>Given</h3>
- H is the circumcenter of triangle BCD,
- BC = 18
- HD = 14
<h3>To find </h3>
<h3>Solution</h3>
- Triangle BHD is isosceles, therefore BH = HD
- Point E is midpoint of BC, therefore BE = 1/2BC
<u>Using Pythagorean, finding the value of EH:</u>
- EH = √(BH² - BE²) = √(14² - (18/2)²) = √(196 - 81) = √115 = 10.72
