Answer:
bigger angle is 117°
Step-by-step explanation:
x+x+54= 180 (when two angles are complementary it means that their sum is 180 degrees)
2x+54=180
2x= 180-54
2x=128
x=126/2
x= 63
x1= smaller angle
x1= 63
x2= bigger angle
x2= 63+54
x2=117
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
The fraction that represents the addition model shown above will be 53/100.
<h3>How to solve the fraction?</h3>
From the information given, a grid with 10 equal columns is shown with 5 shaded in. This will be expressed as 5/10.
Also, a second grid is shown, identical in size, containing 100 squares with 3 shaded in. This will be expressed as 3/100.
Therefore, the problem that represents the addition model shown above will be:
= 5/10 + 3/100
= 50/100 + 3/100
= 53/100
In this case, the answer given by Emma is incorrect as he added 5 to 3 and got 8/100.
Learn more about fractions on:
brainly.com/question/78672
The solution to the two functions is (1, 3) and it represents the temperature at which the number of people visiting the zoo equals the number of people leaving the zoo.
5(2x+5y=16)+2(-5x-2y=2)
10x-10x+25y-4y=80+4
21y=84
y=4, making 2x+5y=16 become:
2x+5(4)=16
2x+20=16
2x=-4
x=-2
So the solution to the system of equations is the point (-2, 4)