Answer:
There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes (P-value=0.009).
Step-by-step explanation:
We have to perform an hypothesis test on the mean.
The null and alternative hypothesis are:
The significance level is 
.
The test statistic t can be calculated as:
The degrees of freedom are:
The P-value (two-tailed test) for t=2.737 and df=49 is P=0.00862.
This P-value (0.009) is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.
There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes.
Mx = (Ax + Bx)/2 My = (Ay + By)
6 = (7 + Bx)/2 5 = (10 + By)/2
12 = 7 + Bx 10 = 10 + By
5 = Bx 0 = By
(5,0)
Answer:
39 degrees
Step-by-step explanation:
- by seeing the diagram in the attachment, we can see that the angles UWV and VWX are on straight line or, their sum makes 180 degrees.
- we also know that sum of the angles in a triangle is 180 degrees.
by using the first statement,
UWV + VWX = 180
UWV + 6x-3 = 180
UWV = 180+3-6x
= 183-6x
by using second statement,
UWV+WVU+VUW=180
substituting the values,
183-6x+2x+5+x+13=180
201-3x=180
substracting 180 from both sides,
21=3x
dividing both the sides by 3,
7=x
the angle VWX=6x-3
substituting 7=x,
VWX=6(7)-3= 39.
Answer:
75%
Step-by-step explanation:
we know that 60% of x is 120. we can rewrite this to .6x = 120, to get x we divide both sides by .6, so x = 200. now 120 + 30 = 150. then we divide 150 out of 200 which is .75 it 75%
Answer:
The area of the sector (shaded section) is 29.51 
.
Step-by-step explanation:
Area of a sector = (θ ÷ 360) 
where θ is the central angle of the sector, and r is the radius of the circle.
From the diagram give, diameter of the circle is 26 m. So that;
r = 
= 
= 13 m
θ = 360 - (180 + 160)
= 360 - 340
= 
Thus,
area of the given sector = 
x 
x 
= x x x 169
= 29.5079
The area of the sector (shaded section) is 29.51 .
