MATHEMATICS HIGH SCHOOL

5q+4 -11/2= 2q + 3/2(2q-1)

Answers

Answer 1

Answer:

Answer:

Interval Notation:

(−∞,∞)

Step-by-step explanation:

Any value of q makes the equation true.

Hope this helps :)

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find the balance in the account after the given period $500 principal earning 4% compound quarterly after 6 years

Answers

A=P(1+r/100)^n
A=500(1+4/400)^24
A=500(1.01)^24
A=634.87

Answers

1. b

2. d

3. b

4. b

5. a

6. c

7. b

8. b

9. b

10. d

11. b

12. c

Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean?

Answers

Answer:

Step-by-step explanation:

choice A is not guaranteed since the values varied from 0 to 7.

choice B seems alright, but doesn't include about or anything about the long run.

choice C is incorrect because 50% are less than 3.12 and 50% are greater than 3.12.

choice D seems pretty good, since it says average, long run, approach, etc.

choice E is incorrect because it says "will be". It is not definite.

Final answer:

The mean of 3.12 represents the average number of days per week that members are expected to visit the fitness center.

Explanation:

The mean of the random variable X, which represents the number of days per week that members visit a fitness center, is 3.12. This means that on average, members go to the fitness center about 3.12 days each week when considering all the members surveyed. It's an overall trend that indicates the central tendency or the 'typical' value that we would expect in this data set. It is calculated by multiplying each number of visit days by its relative frequency and adding all these products together, then dividing by the total number of members.

Find the equation of the line that passes through the point (7,5) and is perpendicular to the line 2x - 3y=6

Answers

$(7,5);\ \ \ \ 2x - 3y=6 \ \ / subtract \ 2x \ from \ each \ side \n \n-3y = -2x + 6\ \ / divide \ each \term \ by \ (-3) \n \n y = \frac{2} {3}x -2\n \n The \ slope \ is :m _(1) = ( 2)/(3) \n \n If \ m_(1) \ and \ m _(2) \ are \ the \ gradients \ of \ two \ perpendicular \n \n lines \ we \ have \n\n\ m _(1)*m _(2) = -1$

$(2)/(3)\cdot m_(2)=-1\ \ / \cdot ((3)/(2))\n\nm_(2)=-(3)/(2)\n\nNow \ your \ equation \ of \ line \ passing \ through \ (7,5) would \ be: \n \n y=m_(2)x+b \n \n5=-(3)/(2)\cdot 7 + b \n \n 5= -(21)/(2)+b\n \nb=5+(21)/(2) \n \nb= (10)/(2)+(21)/(2)\n \nb= (31)/(2)\n\nb=15.5 \n \n y = -(3)/(2)x +15.5$

Which of the following can be used to prove that triangle EFG is also a right triangle?