Answer:

Step-by-step explanation:
Hi there!
We want to find the distance between the points (2, -2) and (-4, 7).
To do that, we can use the distance formula.
The distance formula is given as
, where
and
are points
We have everything needed to find the distance, but let's label the values of the points to avoid any confusion

Now substitute those values into the formula and solve


Simplify


Square the numbers under the radical

Add the numbers under the radical together

Simplify the square root

Hope this helps!
Answer:
a) 0.1091
b) 0.9994
c) 0.5886
Step-by-step explanation:
X = the number of fish out of 20 that die after 24 hours
x = 0, 1, 2, . . . , 20
X~ Binomial (n= 20, p =0.20)
P(14 survive) = P(X = 6)
=
=0.1091
Similarly we can find out
P(at least 10 survive) = P( X <= 10 ) = (Using technology) = 0.9994
P(at most 16 will survive) = P(X <= 16) = (Using technology) = 0.5886
Answer:
- <em><u>1. There are infinite 8's</u></em>
- <em><u>2. The estimate is 130.89</u></em>
- <em><u>3. The difference is 0.01</u></em>
<em><u /></em>
Explanation:
There are countless, or infinite, 8's in the answer because the result is a periodic decimal:

The notation used for the periodic decimal numbers is an arc over the number that is repeated. In this case, it would be an arc over the first 8.
I will use a bar just to show how it is, but instead of a bar it should be an arc:

The <em>estimation</em> or approximation to <em>two decimal places</em> requires to drop the 8's since the third one and increase the second 8 to 9 (because the first decimal dropped is greater than or equal to 5).
Thus the estimated value would be 13.89.
The difference is:
- 130.89 - 130.888. . . = 0.0111. . .
- Rounded to 2 decimal places: 0.01