Mr. Hillman is buying boxes of colored pencils for his classroom. They regularly cost $1.80 each but are on sale for 30% off. If
1 answer:
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Answer:
Step-by-step explanation:
Hello There!
Remember: sum of interior angles of a triangle = 180
so to find x we use this equation
180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)
now we solve for x
step 1 combine like terms
90 + 5 + 5 = 100
7x + 9x = 16x
now we have 180 = 16x + 100
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 80 = 16x
step 3 divide each side by 16
80/16 = 5
16x/16=x
we're left with x = 5
Finally we plug in 5 into x for angle a
7(5)+5
7*5=35
35+5=40
so we can conclude that the measure of angle A is 40 degrees
so the remainder is 5.
Answer:
The 99% confidence interval is
Step-by-step explanation:
From the question we are told that
The sample size is
The sample mean is
The standard deviation is
Given that confidence is 99% then the level of significance is mathematically represented as
Next we obtain the critical values of from the normal distribution table
The value is
Generally the margin for error is mathematically represented as
=>
=>
The 99% confidence interval is mathematically represented as
=>
=>