Answer:
$699
Step-by-step explanation:
15825.8693-15126.9611
698.9082 (round to nearest dollar)
Answer: $699
Answer: 5.4
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Explanation:
Angle D = 43 is the given reference angle
side FE = 5 is the side opposite the reference angle (since its the leg furthest away from angle D)
We want to find side DE which is the other leg. This is the adjacent side with angle D as the reference angle
Use the tangent rule
tan(angle) = opposite/adjacent
tan(D) = FE/DE
tan(43) = 5/DE
DE*tan(43) = 5
DE = 5/tan(43)
DE = 5.36184355 <<-- use a calculator here; this is approximate
DE = 5.4 <<-- round to the nearest tenth
That's why 5.4 is the answer
Answer:
9:1
Step-by-step explanation:
27/3=9
18/2=9
they both are equivalent to 9 words per hour.
3/4z = 2/3a
z + a = 510...z = 510 - a
3/4(510 - a) = 2/3a
382.50 - 3/4a = 2/3a
382.50 = 2/3a + 3/4a
382.50 = 8/12a + 9/12a
382.50 = 17/12a
382.50 * 12/17 = a
270 = a
z + a = 510
z + 270 = 510
z = 510 - 270
z = 240
check..
3/4z = 2/3a
3/4(240) = 2/3(270)
180 = 180 (correct)
Zul had $ 240
Zul gave 30% of his money to his sister
0.30(240) = 72
his sister received $ 72
Answer:
The p value would be given by this probability:
Since the p value is a very small value at any significance level used we can reject the null hypothesis and we can conclude that the true mean for this case is different from 124 ft
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
z would represent the statistic (variable of interest)
represent the p value
Hypothesis to test
We want to check the following system of hypothesis:
Null hypothesis: 
Alternative hypothesis :
The statistic is given by:
(1)
Replacing the info given we got:
The p value would be given by this probability:
Since the p value is a very small value at any significance level used we can reject the null hypothesis and we can conclude that the true mean for this case is different from 124 ft
