Answer:
getting the queen is smaller
5/8
Step-by-step explanation:
There are 4 queens in a 52 card deck
P(queen) = 4/52 = 1/13
There are 12 pairs socks, 3 of which are grey
P(grey socks) = 3/12 = 1/4
1/13 <1/4
So getting a queen is smaller
The possible outcomes
8 +0 9+0 10+0 <em> 11+0</em>
8+1 9+1 <em> 10+1 11+1</em>
8+2<em> 9+2 10+2 11+2</em>
<em>8+3 9+3 10+3 11+3</em>
There are 16 outcomes and 10 of them are after 11, (assuming we add the time to the bedtime)
P (bedtime later than 10) = 10/16 = 5/8
Answer:
25 times .10 = 2.5 (22.5) 22.5-1.00= 21.5
Step-by-step explanation:
Given that,
Michael is leaving a 15% tip for his waitress.
To find,
What percent of the original price will he pay.
Solution,
Let the original price was 100%.
When he leaves a 15% tip for the waitress, he is really paying 100%+15%=115% of the original price.
or
So, this is the required solution.
Answer:
y ≥ -x +2
Step-by-step explanation:
The solid line has a slope of -1 and a y-intercept of 2, so its equation in slope-intercept form is ...
y = -x +2
The shaded area is above this line, and the line is part of the solution set, so we want an inequality that has "y" and the comparison symbol in this order: "y ≥" or "≤ y".
We already have an equation with "y" on the left, above, so we just need to introduce the comparison symbol:
y ≥ -x +2
Another way to write this is ...
x + y ≥ 2
Answer:
Step-by-step explanation:
The tangent to the angle makes an angle of 90° with the radius.
The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.
By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore
x = 60-30 = 30°.
