Answer:
114.31 nautical miles per day
Step-by-step explanation:
Use formula
where S is the distance, t is time and v is rate.
If S=11431 nautical miles and t=100 days, then
Let p be
the population proportion. <span>
We have p=0.60, n=200 and we are asked to find
P(^p<0.58). </span>
The thumb of the rule is since n*p = 200*0.60
and n*(1-p)= 200*(1-0.60) = 80 are both at least greater than 5, then n is
considered to be large and hence the sampling distribution of sample
proportion-^p will follow the z standard normal distribution. Hence this
sampling distribution will have the mean of all sample proportions- U^p = p =
0.60 and the standard deviation of all sample proportions- δ^p = √[p*(1-p)/n] =
√[0.60*(1-0.60)/200] = √0.0012.
So, the probability that the sample proportion
is less than 0.58
= P(^p<0.58)
= P{[(^p-U^p)/√[p*(1-p)/n]<[(0.58-0.60)/√0...
= P(z<-0.58)
= P(z<0) - P(-0.58<z<0)
= 0.5 - 0.2190
= 0.281
<span>So, there is 0.281 or 28.1% probability that the
sample proportion is less than 0.58. </span>
Answer:
280in
Step-by-step explanation:
10×6=60
60×2=<u>120</u>
6×10=<u>60</u>
4×4=16
16×2=<u>32</u>
4×6=<u>24</u>
4×4=<u>16</u>
6×6=<u>36</u>
<u>120+60+32+24+16+36=280</u>
<u />
Answer: For number 1 tell Andre no.
Step-by-step explanation: This is because he wants to make a scaled copy of Jada's drawing but by turning 4 into 8 by adding, it will create consistences to the point the best way to scale would be to multiply. So, Tell Andre that if he wants 4 to be 8, he should multiply instead of adding. Very epic!
Answer:
GH = 20
Step-by-step explanation:
We have that
FH = FG + GH ← substitute values
4x + 8 = x + 5x
4x + 8 = 6x ( subtract 4x from both sides )
8 = 2x ( divide both sides by 2 )
4 = x
Hence GH = 5x = 5 × 4 = 20GH = 20
