Answer:
- 3/4
- 4/13
- 7/26
- 2/13
- 5.52
Step-by-step explanation:
<u>(a)</u>
- Probability (A heart or a black card) = 13 + 26 / 52
- Probability (A heart or a black card) = 39/52
- Probability (A heart or a black card) = 3/4
<u>(b)</u>
- Probability (A heart or a jack) = 13 + 3 / 52
- Probability (A heart or a jack) = 16/52
- Probability (A heart or a jack) = 4/13
<u>(c)</u>
- Probability (A heart and the ace of clubs) = 13 + 1 / 52
- Probability (A heart and the ace of clubs) = 14/52
- Probability (A heart and the ace of clubs) = 7/26
<u>(d)</u>
- Probability (A 9 or a jack) = 4 + 4 / 52
- Probability (A 9 or a jack) = 8/52
- Probability (A 9 or a jack) = 2/13
<u>(e)</u>
- Probability (The 9 of hearts or a jack) = 1 + 4 / 52
- Probability (The 9 of hearts or a jack) = 5/52
Answer:
The measure of all the angles are;
45°, 135°, 45°, and 135°
Step-by-step explanation:
The given parameters are;
The ratio of two adjacent angles of the parallelogram = 1:3
Let x represent one of the adjacent angles, and let y represent the other adjacent angle
Given that two adjacent angles of a parallelogram are supplementary, we have;
x + y = 180°
x:y = 1:3
Therefore, y = 3 × x = 3·x, which gives;
x + 3·x = 180°
4·x = 180°
x = 180°/4 = 45°
y = 3 × x = 3 × 45° = 135°
Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;
45°, 135°, 45°, and 135°.
Answer:

Step-by-step explanation:
Given
5 tuples implies that:

implies that:

Required
How many 5-tuples of integers
are there such that
From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.
Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location
So, there are n + 4 items to make selection from
The selection becomes:



Expand the numerator




<u><em>Solved</em></u>
Answer: She had 60% of the money left
Step-by-step explanation:
240/600=0.4
0.4 = 40%
100%-40%=60%
Answer:
225 frogs
Step-by-step explanation:
Total population of frogs = 300 frogs.
Observed population of frogs = 24
6 of the 24 observed frogs had spots
Which means , the number of frogs that did not have spots = 24 - 6 = 18 frogs.
We were told to find how many of the total population can be predicted to NOT have spots. We would form a proportion.
If 24 frogs = 18 frogs with no spots
300 frogs = Y
Cross multiply
24Y = 300 × 18
Y = (300 × 18) ÷ 24
Y = 5400 ÷ 24
Y = 225 frogs.
This means out of 300 frogs, 225 frogs do not have spots.
Therefore, the total population that can be predicted to NOT have spots is 225 frogs.
the total population can be predicted to NOT have spots