Answer:
x=4
Step-by-step explanation:
4x-3=x+9
4x-x-3=9
4x-x=9+3
3x=9+3
3x=12
3/3
12/3=4
x=4
Probability of having a girl: 1/2
Probability of having another girl right after: 1/2
Probability of having a boy right after: 1/2
Then another boy: 1/2
And a third boy: 1/2
To find compound probabilities, just multiply them together.
Answer:
C. cot theta
Step-by-step explanation:
(csc theta -cot theta )/(sec theta -1)
csc = 1/ sin
cot = cos / sin
sec = 1 / cos
Let x = theta
(1/ sin x -cos x / sin x )/(1/ cos x -1)
Getting a common denominator in the denominator and combining terms
(1- cos x)/ sinx / ( 1 - cos x) / cos x
(1- cosx) (1- cosx)
----------- ÷ ------------
sinx cos x
Copy dot flip
(1- cosx) cosx
----------- * ------------
sinx 1 -cos x
Cancel like terms
cos x / sin x
cos / sin = cot
cot x
cot theta
Answer:
{ x | x ≥ 0 }
Step-by-step explanation:
Given,
There is a straight line started from (0, 9) and passes through (8, 1),
∵ In the coordinate plan, the values of x are arranged in increasing order to the right side of the y-axis,
Thus, the line is defined for all real values of x greater than 0,
Hence, Domain of the line = All real numbers greater than equal to 0,
i.e. { x | x ≥ 0 }
Thus, FIRST OPTION is correct.
Answer:
B. 80 cm of chain weighs 2 kg.
Step-by-step explanation:
In order to choose the correct answer, we need to define the comparative relation between the length and weight of the chain. We will do this by performing the simple operation of division.
It is easier to divide the larger number by the smaller and that is what we will show here (although <em>you can do as you wish and still get the same result</em> - it's math!):
320 ÷ 8 = 40
The result we got is 40. This means that <u>the length of the chain is equal to the value of forty of its weights!</u> And this will be the operation we will perform in order to determine the right answer:
A) Does 2 (kg) multiplied by 40 equal 40 (cm)? No, therefore, it is incorrect.
B) Does 2 (kg) multiplied by 40 equal 80 (cm)? <u>Yes, this answer is correct!</u>
Just in case, we will perform this action with the rest of the possible choices:
C) 4 kg × 40 = 160 and NOT 80 cm.
D) 2 kg × 40 = 80 and NOT 160 cm.
