Probability is
(desired outcomes)/(total possible outcomes)
total possible is 8 since 8 total spaces
A. number les than 4, there are 3 numbers (1,2,3) so
3/8 os probability
B. number greater than 4, ther are 4 (5,6,7,8), so 4/8=1/2 is probability
C. multiplule of 3, there are 2 (3,6) so 2/8=1/4 is probability
D. even number, there are 4 (2,4,6,8) so 4/8=1/2 is probability
A. 3/8
B. 1/2
C. 1/4
D. 1/2
Parallel lines implies that angle w(the known angle 58 degrees) is congruent to angle z(right next to angle 2) and that angle z is congruent to angle 5 because if corresponding angles are congruent to make angle 5 be 58 degrees
hope i helped
The total amount of tax on her purchases to the nearest cent will be $9.97
<em><u>Explanation</u></em>
Marcella Heinz purchased office supplies for $107.64 and then she purchased an English-Spanish dictionary for $16.95
So, the total amount of her purchases 
On the total amount of the purchases, she paid state sales tax of 7.5% and the county tax of 0.5%
So, the <u>amount of the state sales tax</u> 
and the <u>amount of county tax</u> 
Thus, the total amount of tax on her purchases 
<em>(Rounded to the nearest cent)</em>
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation (
) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
, z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As, = 8.265, E = 1
So, ![n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]](https://tex.z-dn.net/?f=n%3D%20%28%5Cdfrac%7B1.96%5Ctimes8.265%7D%7B1%7D%29%5E2%20%3D%2816.1994%29%5E2%5C%5C%5C%5C%3D%20262.42056036%5Capprox263%5C%20%5C%20%5C%20%5B%5Ctext%7BRounded%20to%20the%20next%20integer%7D%5D)
Hence, the number of first-year residents she must survey to be 95% confident= 263
Answer:
both choices with 2x+y = -3
Step-by-step explanation:
to have the solution (-4, 5), that point must be on both equations/functions, meaning it must be on either one.
in other words, if the point is not on at least one of the functions, it cannot be a solution for that system.
the given function
2x + y = -3
looks like for the point (-4, 5)
2×-4 + 5 = -3
-8 + 5 = -3
-3 = -3
correct.
but
-2x + y = -3
looks like for (-4, 5)
-2×-4 + 5 = -3
8 + 5 = -3
13 = -3
wrong. the point is not on this function.
as we can therefore rule out 2 of the answer options, the other 2 most be correct.
