Answer: Tyler used the distributive property.
Step-by-step explanation:
For the expression:
Madison wrote: which is by commutative property of addition.
The commutative property of addition says that , for a,b be any real number
Tyler wrote: which is by distributive propery.
The distributive property says that , for a,b,c be any real numbers.
Hence, the last option is correct.
Answer:
20 +/- $6.74
= ( $13.26, $26.74)
The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x1-x2 +/- margin of error
x1-x2 +/- z(√(r1^2/n1 + r2^2/n2)
Given that;
Mean x1 = $200
x2 = $180
Standard deviation r1 = $22.50
r2 = $18.30
Number of samples n1 = 60
n2 = 40
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
$200-$180 +/-1.645(√(22.5^2/60 +18.3^2/40)
$20 +/- 6.744449847374
$20 +/- $6.74
= ( $13.26, $26.74)
The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)
Answer:
No, the height cannot be 25 feet because the resulting area is inconsistent with the information given.
Step-by-step explanation:
Given that the base of the first floor is 75 feet, we can answer this question in two different ways:
1) Solve for Area using the given height and compare the results to that of the question.
Using the formula for Area:
<em> A = b x h,</em>
<em>A = (75) x (25) = </em><em>1875 </em>
Because the given height results in an area of 1875 feet, and not 1575 feet, the base of this parallelogram cannot be 25 feet.
2) Solve for Height using the given base and Area
Using the formula for Height:
<em>h = A / b,</em>
<em>h = (1575) / (75) = </em><em>21</em><em> ft</em>
The base of this parallelogram could not be 25 feet because when solving for height using the given base and area, the resulting measurement is 21 feet.
Answer:
x = y/3 - 1/3
Step-by-step explanation:
Answer:
-821.69
..........HAVE A NICE DAY...........
