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:
x = √47
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle. We can use PT to solve for the missing side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 5
Leg <em>b </em>= <em>x</em>
Hypotenuse <em>c</em> = √72
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 5² + x² = (√72)²
- Exponents: 25 + x² = 72
- Isolate <em>x</em> term: x² = 47
- Isolate <em>x</em>: x = √47
Answer:
b. The margin of error would decrease.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:

In which z is related to the confidence level,
is the standard deviation of the population and n is the size of the sample.
This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.
In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.
Answer:
£22
Step-by-step explanation:
Area to be painted
4walls - door
a = 4(2.6 * 3.5) - 2.2 * 0.8
a = 34.64 m²
Paint needed
p = 34.64 / 8
p = 4.33
Must round up
p = 5 liters
Tins needed
t = 5/2
t = 2.5
must round up
t = 3
Cost
since 1 is free with 2 will pay for 2
c = 11 * 2
c = 22
£22
Answer:
The rule or operation in this sequence is multiplication by 3.
Step-by-step explanation:
2*3=6
6*3=18
18*3=54
and so on...