Answer:
someone will be with you in a moment
Step-by-step explanation:
Hello!
The length of side BC can be found by using the Law of Sines. This law states,
a / sin A = b / sin B = c / sin C.
Given:
Angle A = 51.2 degrees
Angle B = 60.3 degrees
Side AC (or B) = 21 cm
Side BC (or A) = ? cm
Let's plug in these values into the formula to find the missing side length.
a / sin (51.2) = 21 / sin (60.3)
a / sin (51.2) = 24.1759... (multiply both sides by sin(51.2)
a = 24.1759 · sin (51.2)
a = 18.841...
18.841 can be rounded to 19.
Therefore, the length of side BC is equal to 19 centimeters.
Answer: the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05
Step-by-step explanation:
Given that;
X has normal distribution has mean µ = 3
standard deviation σ = 2
now
P( x< 4) = P( (x-µ)/σ /(3-4)/5)
= P( z < -0.5 )
= 0.3085 {from the z-table}
X has binomial distribution with n = 8 and p = 0.3085
so P(x=5)
P(x=5) = 8C₅(0.3085)⁵ (1 - 0.3085)⁸⁻⁵
= 0.0517 ≈ 0.05
Therefore the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05
When we want to find the roots of a one-variable function, we look for where its graph intersects the x-axis. In this case, the graph intersects the x-axis at 
The vertex of a parabola is the highest or lowest point on it, depending on whether the leading coefficient of the quadratic function is negative or positive. In this case, we see that the lowest point is 
For the y-intercept, just look for where the graph intersects the y-axis; in this case, that point is 
Using this information, the vertex-form equation of the parabola is 
so the factors are two copies of 
In this case, the value of 
in the equation 
was conveniently 1; if that's not the case, you'll want to plug in 
to solve for the value of a that gives the correct y-intercept.
Does that help clear things up?
4. 14
5. 6
6. 1/12
These are the answers to the questions
