Answer:
B= 9/2 Hope this helped <3
Step-by-step explanation:
Let's solve your equation step-by-step.
4(b−3)=6
Step 1: Simplify both sides of the equation.
4(b−3)=6
(4)(b)+(4)(−3)=6(Distribute)
4b+−12=6
4b−12=6
Step 2: Add 12 to both sides.
4b−12+12=6+12
4b=18
Step 3: Divide both sides by 4
Answer:
Step-by-step explanation:
- The speed of the boat in the lake = x
- The speed of the current = 3 km/h
<u>Required equation:</u>
- 54 / (x + 3) + 42 / (x - 3) = 96/x
- 9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
- 9x² - 27x + 7x² + 21x = 16x² - 144
- 6x = 144
- x = 144/6
- x = 24 km/h
Answer:
The probability is 0.33696
Step-by-step explanation:
The probability that the outcome will be heads x times is calculated using the following equation:
nCx is calculated as:
This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.
So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.
Then, the probability that the outcome will be heads at least 4 times is calculated as:
P = P(4) + P(5)
Where P(4) is:
P(4)=0.2592
And P(5) is:
P(4)=0.07776
Finally, the probability is:
P = 0.2592 + 0.07776
P = 0.33696
Answer:
x=9
Step-by-step explanation:
Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:
7x+49=2x+94
7x-2x=94-49
5x=45
x=45/5
x=9
Answer:
8x² + 3x - 8
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = 6x² + 3x + 1 + 2x² - 9 = 8x² + 3x - 8
