Answer:
5 bags of brand x and 6 bags of brand y.
Step-by-step explanation:
Nutrient requirement for the garden:
39 pounds of nutrient a and
16 pounds of nutrient b
Component of each bag of brand x:
3 pounds of nutrient a and 2 pounds of nutrient b
Therefore, 5 bags of brand x will contain 15 pounds of nutrient a and 10 pounds of nutrient b
Component of each bag of brand y:
4 pounds of nutrient a and 1 pound of nutrient b
Therefore, 6 bags of brand y will contain 24 pounds of nutrient a and 6 pounds of nutrient b
Altogether, she should buy 5 bags of brand x and 6 bags of brand y to meet the nutrient requirement of the garden
The surface area of a sphere is
where r is the radius;
The circumference is
so that
using this value we can evaluate the surface area of 1 ball as:
For 100 ball you get:
Answer:
By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232Step-by-step explanation:The Empirical Rule states that, for a normally distributed random variable:68% of the measures are within 1 standard deviation of the mean.95% of the measures are within 2 standard deviation of the mean.99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:Mean = 190Standard deviation = 14Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?148 = 190 - 3*14So 148 is 3 standard deviations below the mean.232 = 190 + 3*14So 232 is 3 standard deviations above the meanBy the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232
Concept: Solution of the given attachment is based on the addition of two vectors as given below.
Consider two vectors P and Q, then resultant of these two vectors is given as,
R = P + Q
To find the addition of G & H vectors. That is G + H =?
In the given figure;
Vector A = - Vector G because both are in opposite directions -----(i)
From the figure,
A + H = F --------------- using the given concept ---------(ii)
Now, shall replace the value of A from equation (i) in equation(ii)
- G + H = F
or, G + (- H) = - F
Since the vector addition of G & H is not equal to F.
Hence, the given statement G + H = F is False.
Answer:
Step-by-step explanation:
Sin (π - x ) = Sin x = m
