9514 1404 393
Answer:
- R'(-2, 2)
- F'(2, 2)
- G'(-2, -2)
Step-by-step explanation:
It can be useful to keep a list of the 90° rotation transformations.
(x, y) ⇒ (-y, x) . . . . . . 90° CCW, 270° CW
(x, y) ⇒ (-x, -y) . . . . . . 180°
(x, y) ⇒ (y, -x) . . . . . . . 270° CCW, 90° CW
__
1) (x, y) ⇒ (-x, -y) . . . . 180°
R(2, -2) ⇒ R'(-2, 2)
__
2) (x, y) ⇒ (-y, x) . . . . 90°
F(2, -2) ⇒ F'( 2, 2)
__
3) (x, y) ⇒ (y, -x) . . . . 270°
G(2, -2) ⇒ G'(-2, -2)
Answer: 30g
Step-by-step explanation:
In this question (t½) of isotope is 40 days, which means that after 40 days half of the sample would have decayed and half would be left as it is.
After 40 days ( first half life) 240 /2 = 120 g decays and 120 g remains left.
After another 40 days ( two half lives or 80 days) 120 /2 = 60 g decays and 60 g remains left .
after three half lives or 120 days, 60/2 = 30g decay and 30 g of the isotope will be left.
Answer: b. 2x = 30
Step-by-step explanation:
Given : <u>30 states</u> joined the United States between 1776 and 1849
and <u>x states</u> joined between 1850 and 1900 .
If the number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900.
i.e. No. of states joined the United States between 1776 and 1849= 2 (No. of states that joined between 1850 and 1900)
i.e . 30= 2(x) [Substitute the values]
i.e . 2x=30
Hence, the true equation : 2x=30
Step-by-step explanation:
.
Answer:
a) No, since 80 is less than 2.5 standard deviations above the mean; b) Yes, since 80 is more than 2.5 standard deviations above the mean.
Step-by-step explanation:
For part a,
The mean is 70 and the standard deviation is 5. This means that 2 standard deviations above the mean is 70+5+5 = 80.
This means that 80 is not an outlier, as it is not more than 2.5 standard deviations above the mean.
For part b,
The mean is 70 and the standard deviation is 3. This means that 2 standard deviations above the mean is 70+3+3 = 76; 3 standard deviations above the mean is 70+3+3+3 = 79. 80 is more than this, so yes, it is an outlier.
