Julie traveled 3 times more miles than Danny.
This is because 24x is 3 times more than 8x and -63 is 3 times more than -21.
Answer:
![\huge\boxed{26}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B26%7D)
Step-by-step explanation:
![\sf x^2-4x+5\\Given \ that \ x = -3\\(-3)^2-4(-3)+5\\9+12+5\\26](https://tex.z-dn.net/?f=%5Csf%20x%5E2-4x%2B5%5C%5CGiven%20%5C%20that%20%5C%20x%20%3D%20-3%5C%5C%28-3%29%5E2-4%28-3%29%2B5%5C%5C9%2B12%2B5%5C%5C26)
Answer:
Two standard deviations
Step-by-step explanation:
The Z score is obtained using the mean and standard deviation, according to the empirical. Rule, which gives percentage of values that lie within an interval estimate in a normal distribution ;
one standard deviation lie within 68% of the mean
Two standard deviations lie within 95%
Three standard deviations lie within 99.7%
Hence, for the question given, 95% fall within 2 standard deviations of the mean
Answer:
$9,979,032,100 or $9.979 billion
Step-by-step explanation:
The approximate weight of a $100 bill is 1 gram.
All of the calculations bellow assume that the volume of the bills would not be an issue and only concerns weight.
1 pound is equivalent to approximately 453.59237 grams.
The weight in grams that the Big Falcon Rocket can carry is:
![W= 220,000*453.59237=99,790,321.4\ g](https://tex.z-dn.net/?f=W%3D%20220%2C000%2A453.59237%3D99%2C790%2C321.4%5C%20g)
Since each bill weighs 1 gram, the number of bills it could carry, rounded to nearest whole bill is 99,790,321. The total amount it could carry is:
![A=99,790,321*\$100=\$9,979,032,100](https://tex.z-dn.net/?f=A%3D99%2C790%2C321%2A%5C%24100%3D%5C%249%2C979%2C032%2C100)
A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:
(x,y)→(y,-x).
Then:
- D(−2,4)→D'(4,2)
- E(4,7)→E'(7,-4)
- F(10,3)→F'(3,-10)
- G(8,0)→G'(0,-8)
Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).