Answer:
6
Step-by-step explanation:
yOU HAVE TO ADD ALL AND DIVIDE
Answer:
32 meters long (please double-check! sometimes ppl make mistakes)
Step-by-step explanation:
the ratio of height to shadow length is 15:8, as established in the first sentence. if both sides of the ratio are multiplied by 4 then the ratio becomes 60:32.
more in depth:
if you think of it as fractions (which ratios can be written as) multiplying both the numerator and denominator by four is the equivalent of multiplying by 4/4 aka 1 so the value still stays the same (one times something is the same thing). since the ratio of height to shadow length is constant we needed to solve for the ratio in which the height is 60, so multiply each side by 4 (aka 60 divided by 15) to find the new ratio, 15(4):8(4) or 60:32. the ratio 60:32 describes height to shadow, so while the height is 60 (said in the problem) then the shadow length is 32. adding units, the answer would be 32 meters.
Amount of cubed cheeses that Veronica wants to buy =1 3/4 pounds
=7/8 pounds
Weight of the container in which Mr. Sand places the cube =1/16 pounds
Weight of the cubed cheese and container together =1 1/4 pounds
=5/4 pounds
Then the amount of cubed cheese placed by Mr.Sands =(5/4-1/16) pounds
=(20-1)/16 pounds
=19/16 pounds
So the quanity of more cheese that Mr.Sands need to add to the scale =(7/4-19/16)pounds
=(28-19)/16pounds
From the above debuction we can easily conclude that Mr.Sand need to add 9/16pounds of cubed cheese to fullfil the order placed by Veronica
Re-arranging the numbers;
13.0, 13.5, 13.6, 14.1, 14.8, 15.8, 19.1, 21.6, 26.0, 30.8
Mean, x_bar = (13.0+13.5+13.6+14.1+14.8+15.8+19.1+21.6+26.0+30.8)/10 = 18.23
Standard deviation, sigma = Sqrt [{(13-18.23)^2+(13.5-18.23)^2+(13.6-18.23)^2+(14.1-18.23)^2+(14.8-18.23)^2+(15.8-18.23)^2+(19.1-18.23)^2+(21.6-18.23)^2+(26-18.23)^2+(30.8-18.23)^2}/10] = Sqrt [{27.3529+22.3729+21.4369+17.0569+11.7649+5.9049+0.7569+11.3569+60.3729+158.0049}/10] = Sqrt [336.381/10] = 5.8
Therefore,
x_bar = 18.23
sigma = 5.8
At 99% confidence, Z = 2.58
Confidence interval = x_bar +/- Z*sigma/Sqrt (n) = 18.23+/- 2.58*5.8/Sqrt (10) = 18.23+/-4.73 = [(18.23-4.73), (18.23+4.73)] = [13.5,22.96]
