The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
Answer:
124
Step-by-step explanation:
If earning more money from a college degree occurs, a researcher is interested in finding out. She is aware that the average annual household income in thousands is μ<=80.
The null hypothesis is a claim made about the population parameter in relation to the test's goal and in opposition to the alternative hypothesis.
- The term "null hypothesis" refers to a researcher's attempt to reject or "nullify" a commonly held assumption (such as that the sky is blue). A null hypothesis is "a statistical theory suggesting that no statistical relationship exists between given observed variables," according to a more formal definition.
- It always contains = , ≤ , ≥ signs.
- The results will be examined using a one-tailed hypothesis test.
Hence, μ<=80
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Answer:
Ratio of Wood MS to Parker MS = 81 : 131
Step-by-step explanation:
Given
number of students at WMS = 136+188 = 324
number of students at PMS = 316+208 = 524
Ratio of students
WMS : PMS = 324 : 524 = 81 : 131
