Answer:
Roughly 18,000
Step-by-step explanation:
When you need to do rough mental math, you can do something like 720 vs 25 or 30 which is pretty simple to do in your head.
If you are very proficient in mental math, you can do something like 720 * 25, which is harder, but if you know the tricks, you can do this quickly.
720 * 25
Multiply 25 by 7.
175
Add two zeros.
17,500
Multiply 25 by 2
50
Add a zero.
500.
17500 + 500 = 18000
Answer:
Step-by-step explanation:
Amplitude is twice the coefficent of the sine function. In this case, 
Period is 
divided by the coefficent of x, in this case, 
Phase shift, is how much you sum or subctract from x inside the sine, in this case 
.
Midline you get by hiding the sine and reading what's left, in this case, -4.
1.
area = L x w = 72
L = 2w
72 = 2w*w = 2w^2
divide by 2
36 = w^2
w = sqrt(36) = 6
l = 2*6 =12
perimeter = 2L +2W = 2*12 + 2*6 = 24+12 = 36
2.
sqrt(40)= 6.324555 cm ( round to 6.32 )
6.32 - 4 = 2.32 cm original length of a side
Answer:
0.36878
Step-by-step explanation:
Given that:
Mean number of miles (m) = 2135 miles
Variance = 145924
Sample size (n) = 40
Standard deviation (s) = √variance = √145924 = 382
probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles
P( 2135 - 29 < z < 2135 + 29)
Z = (x - m) / s /√n
Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]
Z = (- 29 / 60.399503) < z < (29 / 60.399503)
Z = - 0.4801364 < z < 0.4801364
P(Z < - 0.48) = 0.31561
P(Z < - 0.48) = 0.68439
P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878
= 0.36878
Answer:
#3 2 Right, 4 Down & #4 Vertical Compression
