Answer:
Step-by-step explanation:
You cannot solve the problem because it doesn't have an equal sign, but I suppose you can simplify it. Look at this screenshot, it may help:
Answer:
Yes
Step-by-step explanation:
The smaller two sides have to be greater than the biggest side.
2+8>9, so it can make a triangle.
△ABC~<span>△YZX
You just figure out what sides are similar to each other
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Answer:
For a sample size of 10, the t-value is about 3.25 (from tables) at a 99% confidence interval.
Explanation:
When the standard deviation for the population is not known, the confidence interval estimate for the population mean is performed with the Student's t-distribution.
The confidence interval for the mean is calculated as

where

= sample mean,
s = sample standard deviation,
t = t-value (provided in tables),
n = sample size.
When reading the t-value, (n-1) is called the df or degrees of freedom.
Solution:
we are given that
The magnitudes of the moon and Sirius are -12.5 and -1.44 respectively.
we have been asked to find approximately how many times is the moon brighter than Sirius?
The word magnitude is used by the scientist to describe the brightness of moon/star/object etc.
So we can find the brightness by dividing the given values. so we get

Hence we can say
The moon is 8.68 times brighter than Sirius.