Answer:
see explanation
Step-by-step explanation:
∠TRV = ∠SRW ( vertical angles ), hence
2x + 15 = 85 ( subtract 15 from both sides )
2x = 70 ( divide both sides by 2 )
x = 35
Hence
∠VRU = 2x + 10 = ( 2 × 35) + 10 = 70 + 10 = 80°
and
∠URW + ∠VRU + ∠SRW = 180 ( sum of angles in a straight line ), thus
∠URW + 80 + 85 = 180
∠URW + 165 = 180 ( subtract 165 from both sides )
∠URW = 15°
Answer:
<h3>73220±566.72</h3>
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = xbar ± z*s/√n
xbar is the sample mean = $73,220
z is the z score at 99% CI = 2.576
s is the standard deviation = $4400
n is the sample size = 400
Substitute the given values into the formula;
CI = 73,220 ± 2.576*4400/√400
CI = 73,220 ± 2.576*4400/20
CI = 73,220± (2.576*220)
CI = 73220±566.72
Hence a 99% confidence interval for μ is 73220±566.72
Answer: After 5 bags of mulch, the cost for both companies will be the same.
Step-by-step explanation:
The cost for Company can be represented by the equation: y= 10m+100
The cost for Company B can be represented by the equation: y= 30m
To find the amount of mulch, their cost needs to be the same, I will solve for m
10m+100=30m
-10m 10m
100=20m
Divide both side by 20
100/20=20m/20
5=m or m=5
So after 5 bags of mulch, the total cost for both companies is the same.
<span>The vertical asymptotes of the function cosecant are determined by the points that are not in the domain.</span>