Answer:
80 ft.
Step-by-step explanation:
When finding the total area of two rectangles, you must find the area of each rectangle, then add the products.
6 x 7 = 56
8 x 3 = 24
56 + 24 = 80
Adding the unit: 80 ft.
Answer:
60.28.
Step-by-step explanation:
We need the sine function because we are given the opposite side and we need the hypotenuse.
sin 71 = 57 / x
Cross multiply
x * sin 71 = 57
x = 57 / sin 71
= 60.28.
Answer:
254.5 cm²
Step-by-step explanation:
area = πr²
area = 3.14159 × (9 cm)²
area = 254.5 cm²
Answer:
A function is defined as an operation on a number, which gives only one output for every input
while graphing a function, the x-ordinate denotes the input and the y-ordinate denotes the output of the function
Now, lets look at the graph
for the input value '4' , we notice that there are 2 possible outputs. The output can be either 2.5 or -2.5
Since there are multiple outputs for almost every input, this graph cannot denote a function since a function gives only one output
Answer:
Step-by-step explanation:
Problems of normally distributed samples are solved using 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.
Middle 85%.
Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925
Above the interval (8,14)
This means that when Z has a pvalue of 0.075, X = 8. So when . So
Also, when X = 14, Z has a pvalue of 0.925, so when
Replacing in the first equation
Standard deviation: