Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
We solve the above questions using Combination
Combination = C(n, r) = nCr
= n!/n! ×(n - r)!
(a) How many are there to select 2 pairs of gloves?
We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2
= 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!
= 10 ways.
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
We are told to select 4 gloves out of the 10 gloves = 10C4
We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴
= 80
Hence,
10C4 - 5C4
= [10!/4! × (10 - 4)!] - 80
= 210 - 80
= 130 ways
A cause and effect relationship exist between two variables, when one
variable event is made to happen by the other variable.
The situation which best shows causation is option <u>B) The amount of time a </u>
<u>cell phone is used affects the charge of the battery</u>.
Reasons:
Causation is the condition in which the occurrence of an event is caused by
or contributed to by another event. Such that the incident or observation
identified as the cause is responsible for the event, while the the
occurrence of the event depends on the cause being put in place.
- Option A) A rectangle of a given width can have different dimensions of length
- Option C) Milkshakes and ice cream bars can have different customer base, such that the number of milkshake and ice cream bars sold can be equal
- Option D) The balls used in a soccer match are provided by the officials of the game
Therefore;
- The situation which shows causation is B) <u>The amount of time a cell phone is used affects the charge of the battery</u>.
The option is correct because, a cell phone is powered by battery, and
therefore, the more the cell phone is used, the battery power is used up
and therefore, the charge on the battery is reduced.
Learn more here:
brainly.com/question/18404964
Answer:
x = -4
Step-by-step explanation:
Step 1: Define
j(x) = 3x + 1
j(x) = -11
Step 2: Substitute and solve for <em>x</em>
-11 = 3x + 1
-12 = 3x
x = -4
1+4=5
2+5=7
5+7=12
3+6=9
12+9=21
I do not see21 up here so please cheek your question again or please change the 19 to a 21
30 is 42% of 70 and you divide 30 by 70
