This is an isosceles trapezoid, because the two angles are supplementary on the right side.
y is 25 based on the Pythagorean theorem
w is sqrt (850)=29.15
z must be 15
Making a right triangle to look at the altitude
cos 59=a/15, so a is 7.73 between the right corner and the edge of x
That means x is 29.15-2(7.73)=13.69
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The median should be half way between 13.69 and 29.15
That is half their sum, or half of 42.84 or 21.42
That doesn't change the answer above
Once I know the trapezoid is isosceles, the angles at the base have to be 59d and the angles at the top 121d.
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Answer:
We accept H₀ we don´t have enough evidence to support that the mean thickness is greater than 41 mm
Step-by-step explanation:
Sample Information:
Results:
41.8
40.9
42.1
41.2
40.5
41.1
42.6
40.6
From the table we get:
sample mean : x = 41.35
sample standard deviation s = 0.698
Hypothesis Test:
Null Hypothesis H₀ x = 41
Alternative Hypothesis Hₐ x > 41
The test is a one-tail test
If significance level is 0.01 and n = 8 we need to use t-student distribution
From t-table α = 0.01 and degree of freedom df = n - 1 df = 8 - 1
df = 7 t(c) = 2.998
To calculate t(s) = ( x - 41 ) / s/√n
t(s) = ( 41.35 - 41 ) / 0.698/√8
t(s) = 0.35 * 2.83/ 0.698
t(s) = 1.419
Comparing t(s) and t(c)
t(s) < t(c)
t(s) is in the acceptance region we accept H₀
Answer:
We can convert a mixed number (or mixed fraction) to a decimal. Strategies to convert mixed fractions to decimals: Change the mixed fraction to an improper fraction and then divide. Convert the fractional part only and then add it to the whole number.
Answer:
90
Step-by-step explanation:
10! / (10 - 2)!
=10!/8!
=10 * 9 * 8! /8!
=90 * 8!/8!
90
Hope this helps. Please mark as brainliest if possible. Have a nice day
