Answer:

Step-by-step explanation:
Represent the first half with F and the second with S
We have that:
--- From the first statement
--- From the next statement
Required
Determine the ratio of S to the total point
First, we need to determine the value of S
Substitute 9 for F in



Next, we determine the total points



The ratio of S to total is: (Represent total with T)

Divide both ration by 3


<em>Hence, the ratio is 5 to 8</em>
14. 1.5, 10 <- Answer
15. 5,1 <- Answer
Proof 14
Solve the following system:
{2 x - y = -7 | (equation 1)
4 x - y = -4 | (equation 2)
Swap equation 1 with equation 2:
{4 x - y = -4 | (equation 1)
2 x - y = -7 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x - y = -4 | (equation 1)
0 x - y/2 = -5 | (equation 2)
Multiply equation 2 by -2:
{4 x - y = -4 | (equation 1)
0 x+y = 10 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = 6 | (equation 1)
0 x+y = 10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 3/2 | (equation 1)
0 x+y = 10 | (equation 2)
Collect results:
Answer: {x = 1.5
y = 10
Proof 15.
Solve the following system:
{5 x + 7 y = 32 | (equation 1)
8 x + 6 y = 46 | (equation 2)
Swap equation 1 with equation 2:
{8 x + 6 y = 46 | (equation 1)
5 x + 7 y = 32 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:{8 x + 6 y = 46 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Divide equation 1 by 2:
{4 x + 3 y = 23 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Multiply equation 2 by 4/13:
{4 x + 3 y = 23 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 20 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 5 y = 1
Step-by-step explanation:
3x + 1
=3x + 1
this is because a variable X is attached to the 3 so it makes the 3x and the 1 unlike
therefore you can not add them.
Answer:
Step-by-step explanation:
given that certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours.
Sample size n =16
Std error of sample mean = 
x bar follows N(800, 15)
the probability that a random sample of 16 tubes taken from the group will have a mean lifetime
(a) between 790 and 810 hours,
=
(b) less than 785 hours

, (c) more than 820 hours,

(d) between 770 and 830 hours
=
Answer:
a. Discrete
b.Continuous
Step-by-step explanation:
a. A discrete random variable has a countable number of possible values.
-The probability of each value of a discrete random variable is between 0 and 1, and the sum of all the probabilities is equal to 1.
-The number of free dash throw attempts are countable. Hence, a Discrete Random Variable.
b. -A continuous random variable is a random variable where the data can take infinitely many values.
-A continuous random variable is a random variable is qualitative in nature.
-The amount of rainfall will take different values in different April months. Hence Continuous Random Variable.