Answer:
(2x+1)(1) = 84. 2x+1= 84. 2x = 83.
Step-by-step explanation:
Answer:
None
Step-by-step explanation:
Because all the numbers appear once
x - any unit in degrees
The ratio 7 : 8, therefeor the measures of the angles are 7x and 8x.
We know: the sum of those angles is 180°
Therefore we have the equation
7x + 8x = 180
15x = 180 |:15
x = 12
The smaller angle is 7x.
Your answer is 7 · 12° = 84°
Answer:
0.36
Step-by-step explanation:
Given, a circle with radius, 
Area of circle =
Substitute 
Area of whole circle
Square is inscribed in it whose each side is 
Area of square 
We can see that area of the white circle
= area of the whole circle - area of square

Probability of falling a random point within the white circle


Rounding to nearest hundredth.
Probability of falling a random point within the white circle would be 0.36
Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.