Step-by-step explanation:
It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full rotation.. We are going to write the time not in days, hours and minutes, but only hours. This means that we have to write 58 days as hours and 30 minutes as hours. 1 day is 24 hours, so 58 days are 58*24=(50+8)*(20+4)=50*20+50*4+8*20+8*4=1,000+200+160+32 =1,200+192=1,392 (hours) 60 minutes are 1 hour, so 30 minutes are 0.5 hours. Thus 58 days, 15 h, and 30 min are (1,392+15+0.5) hours = 1,407.5 hours Answer: 1,407.5 hours
Step-by-step explanation:
Given that,
The length of a ladder, H = 20 feet
The height of the wall, h = 15 ft
We know that,
h is perpendicular and H is hypotenuse
So,
Now using Pythagoras theoerm,
Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.
Answer:
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.
The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
Answer:
x=34/5 y= -18/5
Step-by-step explanation:
check the image above since it works on fractions it will be too messy in typing