Answer:
Correct answer: t = 10 seconds
Step-by-step explanation:
Given:
V₁ = 12 ft/s , V₂ = 10 ft/s initial distance d = 20 ft
To the moment he catches his friend the first skater will have crossed the distance d₁ and the second d₂.
d₁ = d + d₂
d₁ = V₁ · t
d₂ = V₂ · t
when we substitute this into the initial formula we get:
V₁ · t = d + V₂ · t ⇒ d = V₁ · t - V₂ · t ⇒ d = t (V₁ - V₂) ⇒ t = d / (V₁ - V₂)
t = d / (V₁ - V₂) = 20 / (12 - 10) = 20 / 2 = 10 seconds
t = 10 seconds
God is with you!!!
Answer:
the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284
Step-by-step explanation:
Given that
mean weight = 3831 grams,
variance = 108,900
sample size n = 65
the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams = ?
Now standard error of mean = √( 108900 / 65 ) = 40.9314
z = +/- (45/40.9314)
z = +/-1.0994
so
P( -1.0994 <z< 1.0994 ) = P( z<1.0994 ) - (p<-1.0994 )
= 0.8642 - 0.1358
= 0.7284
Therefore the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284
To find the least number of rows she can make will be found by finding the biggest way to divide these into equal groups (greatest common factor).
You can use prime factorizations of each number to find the gcf.
150 - 2 x 3 x 5 x 5
360 - 2 x 2 x 2 x 3 x 3 x 5
The common prime numbers are 2 x 3 x 5
You can make 12 (360/30) rows of pink and 5 (150/30) rows of red.
Area=side^2
area=6.25^2
area=39.0625 ft^2
6.25 has 3 sig figs
39.1 ft^2 is answer
