Answer:
a) x = 492/738
b) m<p = 39°
m<n = 141°
Step-by-step explanation:
Find the diagram attached
a) The sum of angle on the straight line l is 180degrees
m<n + m<p = 180 degrees
Given
<p = 21x+25
<n = (675x-27)/3
Substitute the given values into the formula
(675x-27)/3 + 21x+25= 180
[(675x-27+3(21x+25))]/3 = 180
675x-27+63x +75 = 180*3
675x+63x-27+75 = 540
738x+48 = 540
738x = 540 - 48
738x = 492
x = 492/738
b) m<p = 21x+25
m<p = 21(492/738) + 25
m<p = 14+25
m<p = 39°
Recall that m<p + m<n = 180
m<n = 180-m<p
m<n = 180 -39
m<n = 141°
Answer:
15n
Step-by-step explanation:
Amal has a bookcase with n shelves. There are 15 books on each shelf. Using n, write an expression for the total number of books.
The expression for the total number of books is given as:
Number of shelves × Number of books in each shelf
= n × 15 books
= 15n
Answer:
Die is not fair given that Pvalue< 0.05, hence we reject Null hypothesis
a) H0: Die = fair
b) Ha : Die ≠ fair
c) df = 5
Step-by-step explanation:
The expected frequency of every face values = 20
a) state Null hypothesis
H0: Die = fair
b) Alternate Hypothesis
Ha : Die ≠ fair
c) degree of freedom
df = ( n - 1 )
= ( 6 - 1 ) = 5
n = sample size ( number of faces a die has )
Note : After conducting hypothesis test
Pvalue ≈ 0.0026
test statistic ≈ 18.30
Hence we can conclude that die is not fair given that Pvalue < 0.05, hence we reject Null hypothesis
Answer:
D isn't the correct answer. It's "It shrinks the graph vertically to 1/2 its original height."
Step-by-step explanation:
I'm not sure why though this is right because I graphed it, and I don't see how that could be the right answer.
