Answer:

Step-by-step explanation:
Note that we have in total 18 items. Even though we are given information regarding the amounts of items per type, the general question asks the total number of ways in which you can pick 5 out of the 18 objects, without any restriction on the type of chosen items. Therefore, the information regarding the type is unnecessary to solve the problem.
Recall that given n elements, the different ways of choosing k elements out of n is given by the binomial coefficient
.
Therefore, in this case the total number of ways is just 
Answer:
YES
Step-by-step explanation:
Quadrilateral have 4 sides and their sum of angles is 360 and parallelogram also have 4 sides and sum of angles is 360
Vsphere=(4/3)pir³
d/2=r
given
d=4
d/2=r=4/2=2
Vsphere=(4/3)pi2³
Vsphere=(4/3)pi8
Vsphere=32/3pi
using pi=3.14
Vsphere=33.493333333333 cm³
round
Vsphere=33 cm³
Answer:
f(x) = 0.85x
g(x) = 0.85x - 100
Step-by-step explanation:
Given that :
Sale price = 15% off the item price
Let original price = x
Hence, sale price = (100 - 15)%
Let the sale price function = f(x)
f(x) = 0.85x
Where, x = price before 15% off
Customer also has a coupon discount of 100 pesos
Let coupon discount price = g(x)
g(x) = f(x) - 100
Hence,
g(x) = 0.85x - 100
x = price before 15% off
Answer:
57.62% of players weigh between 180 and 220 pounds
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What percent of players weigh between 180 and 220 pounds
We have to find the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 180.
X = 220



has a pvalue of 0.7881
X = 180



has a pvalue of 0.2119
0.7881 - 0.2119 = 0.5762
57.62% of players weigh between 180 and 220 pounds