First step is to find what should be the required total of sum of Score after fourth test, to identify how much more or less she need to score in his fourth test.
Since Mean = (Sum of Scores)/number of test
using above formula we determine what is the required sum of score.
82 = (Sum of Scores)/4
⇒ 82 × 4 = 328
So in four test she should have score total as 328
So Score require in fourth test = Required Score Total - (total score in 3 tests)
= 328 - ( 72 + 97 + 82 ) = 77
So she need score of 77 to be at mean of 82 after fourth test and get qualify for the team
Answer:
1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻
Step-by-step explanation:
1. Let b be the number and B be the set, so mathematically, it is written as
b ∈ B.
2. Let a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write
∀ a ∈ N; 2a ∈ Z
3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.
Since each set is a subset of the latter set, we write
N ⊂ Z ⊂ Q ⊂ R .
4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write
J ≤ J⁻¹ : J ∈ Z⁻
In this question it is given that
Carla earns $8.43 per hour. It means that her hourly rate is $8.43 .
And we have to find her overtime pay at time-and-a-half.
First we have to understand what time and a half means .
Time and a half means 1.5 times of the normal rate. And to find the overtime pay, we have to multiply 1.5 and normal hourly rate. That is
Therefore correct option is a .
For this case we have that by definition, the point-slope equation of a line is given by:
Where:
m: It's the slope
It is a point through which the line passes
According to the statement data we have:
Substituting we have:
By law of signs of multiplication we have to:
Answer:
The requested equation is: 
To find the total amount Mrs. Johnson gave away, you need to know how much she gave the son. Because the ratio of the money given is 5:6, the amount of money he received has to be 5/6 of the money the daughter received.
So, the son received 5/6 of 2400.
To find this, multiply 5/6 x 2400 to get 2000.
The daughter received 2400 and the son received 2000, so the total amount Mrs. Johnson gave away is 4400 dollars.
