Answer: 30 cents
Step-by-step explanation:
Answer:
B: 4/5x -2y ≥ 3
Step-by-step explanation:
The first thing I always look for is the y-intercept which in this case is around -1.5 (-
). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around
. So now, your equation is y =
x -1
. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤
x -1
.
Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤
x -3. The last step is to rearrange the inequality so that it matches the answers on the question.
3 ≤
x - 2y
x - 2y ≥ 3
Answer:
The number of students who scored more than 90 points is 750.
Step-by-step explanation:
Quartiles are statistical measures that the divide the data into four groups.
The first quartile (Q₁) indicates that 25% of the observation are less than or equal to Q₁.
The second quartile (Q₂) indicates that 50% of the observation are less than or equal to Q₂.
The third quartile (Q₃) indicates that 75% of the observation are less than or equal to Q₃.
It is provided that the first quartile is at 90 points.
That is, P (X ≤ 90) = 0.25.
The probability that a student scores more than 90 points is:
P (X > 90) = 1 - P (X ≤ 90)
= 1 - 0.25
= 0.75
The number of students who scored more than 90 points is: 1000 × 0.75 = 750.
Answer:
1. -3
2. -12
3. 20
4. -15
5. 6
6. -15w+5
7. 10
8. C<-26
9.p> -40
10. P> 16
Step-by-step explanation:
~ -9p -17 = 10
-9p = 27
P = -3
~ x/4 -5 = -8
x/4 = -3
x = -12
~ p/5 +6 =10
p/5 = 4
p = 20
~ -2(m-30) =-6m
-2m+60=-6m
4m = -60
m = -15
~ 3n +2=8+2n
n = 6