Answer:
1 = 130° , 2 =50° , 3 = 85°, 4=45°
Step-by-step explanation:
1 =45 + 85 = 130 { sum of opposite interior angle equals exterior angle}
2 = 180 - 1 { angles on a straight line equals 180}
= 180 -130 = 50°
4 = 180 - 135 = 45° { angles on a straight line equals 180}
3 = 135 -2 { sum of opposite interior angles equals exterior angle; 3 + 2 = 135}
3 = 135-50 = 85°
Note : sum of opposite interior angles equals external exterior angle, let's prove it:
If we look at the triangle at the bottom left, we have :
85, 45 and r { let's denote r as the missing angle}
So 85 + 45 + r = 180° { sum of angles of a triangle}
By simple arithmetic
r = 180 - ( 85+45) = 180 - 130 = 50°
but r + 4 = 180° { sum of angles in a straight line equals 180°}
4 = 180 - 50 = 130°
So you see 4 is the exterior angle of the triangle opposite to 85° and 45° interior angles}
Answer:
x=10
Step-by-step explanation:
x-2(12*1/2)=2(4-2x)+20
x-2(6)=8-4x+20
x-12=28-4x
3x-12=28
3x=30
x=10
Answer:
There is not sufficient evidence to support a claim of linear correlation between the two variables.
Step-by-step explanation:
The data provided is as follows:
X Y
78 5.5
79 8.8
56.2 3.3
68.3 1.7
77.9 10.8
38.2 0.1
(a)
The scatter plot is attached below.
(b)
Use the Excel function: =CORREL(array1, array2) to compute the correlation coefficient, <em>r</em>.
The correlation coefficient between the number of internet users and the award winners is,
<em>r</em> = 0.797.
(c)
The test statistic value is:
The degrees of freedom is,
df = n - 2
= 6 - 2
= 4
Compute the <em>p</em>-value as follows:
*Use a <em>t</em>-table.
<em>p</em>-value = 0.057 > <em>α</em> = 0.05
The null hypothesis will not be rejected.
Thus, it can be concluded that there is not sufficient evidence to support a claim of linear correlation between the two variables.
Multiply the amount of feet in one mile by the amount of miles in the question(5,280 x 50 = 264,000)
Divide the amount of feet in 50 miles by the amount of minutes in 1 hour to get the amount of feet per mile (264,000 ÷ 60 = 4,400)
Divide the amount of feet per mile to get by the amount of seconds in a minute to get the amount of feet per second (4,400 ÷ 60 = 73.33)
Your answer rounded to the nearest whole number is "73"
13 + the cost of 1 brush + the cost of 1 brush = total money spent
