Answer:
A.
Step-by-step explanation:
Firstly, we should know that this problem is a Bernoulli trial problem.
We shall be using the equation of the trial later in the question.
We know that there are 5 options per questions, this mean that there are a total of 10 × 5 = 50 options.
Now, we also know that there are 10 correct options and 40 incorrect ones.
The probability of selecting a correct option is 10/50 = 0.2
The probability of selecting an incorrect option is 40/50 = 0.8
We know that since he is selecting exactly 6 correct answers, there has to be 4 incorrect ones, since he's attempting 10 questions.
Applying this parameters in the equation yields the following :
(10C6) × (0.2)^6 × (0.8)^4 = 210 × 0.000064 × 0.4096 =0.005505024
This is approximately equal to 0.006
The answers in the options are in percentage. Hence we convert the decimal to percentage.
6/1000 × 100% = 0.6%
Answer:
is perpendicular to and goes through the point .
Step-by-step explanation:
Consider a line that has a slope of and goes through the point . The point-slope equation of this line would be:
.
The equation of "the given line" in this question is in the point-slope form. Compare the equation of this given line to . .
The coefficient of would be . In other words, the slope of this given line would be .
If two lines are perpendicular to one another, the product of their slopes would be .
Since the slope of the given line is , the slope of a line perpendicular to this line would be:
.
The question requested that this line should go through the point . Since the slope of that line is found to be , the point-slope equation of that line would be:
.
Simplify this equation to get:
.
Answer:
x=-44
Step-by-step explanation:
3/4(1/4x+8)-(1/2x+2)=3/8(4-x)-1/4
3/16x+24/4-1/2x-2=12/8-3/8x-1/4
3/16x+6-1/2x-2=3/2-3/8x-1/4
3/16x-1/2x+4=3/2-3/8x-1/4
-5/16x+4=-3/8x+5/4
Add 3/8x to both sides
-5/16x+4+3/8x=-3/8x+5/4+3/8x
1/16x+4=5/4
Subtract 4 from both sides
1/16x+4-4=5/4-4
1/16x=-11/4
Multiply both sides by 16
1/16x(16)=-11/4(16)
x=-44
It would be 5.
This is because 5 is the biggest number that 10 and 15 can divide with(without getting decimals or fractions). I hope this helped :)