The formula of an area of a rhombus:
The diagonals bisect each other. That is, they divide each other into two equal parts.
Therefore we have:
Substitute:
Answer: 2.16 m²
The probability that it will have an annual snowfall greater than 170 inches is 0.4.
<h3>How to compute the probability?</h3>
The information is incomplete and the complete question wasn't found. An overview will be given. It should be noted that a probability means the likelihood of the occurence of an event.
Probability is calculated as:
= Number of ways of achieving success/Total number of possible outcomes
Let's assume that the total number of resort is 10 and those that have more than 170 inches are 4.
In this case, the probability will be:
= 4/10
= 0.4
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Answer:
The probability that the sample proportion will be at least 3 percent more than the population proportion is 0.6157
Step-by-step explanation:
We need sample proportion between 0.75 - 0.03 = 0.72 and 0.75 +0.03 = 0.78. Here we have p = 0.75 and n= 158.
So z-score for sample proportion q = 0.72
z = = = - = - 0.872
So z-score for sample proportion q = 0.78
z= = = = 0.872
Therefore the probability that the sample proportion will be within 3 percent of the population proportion is
P( 0.72 < q < 0.78) = P ( -0.872 < z < 0.872)
= P( z < 0.872) - P( z < -0.872)
= 0.80785 - 0.19215
= 0.6157
The range of the possible values of x is:
x > 4
For the given triangle:
AB = 4x + 25
BC = 3x - 2
AC = 9x - 5
The sum of two of the sides of the triangle should be greater than the length of the third side
That is:
AC + BC > AB
9x - 5 + 3x - 2 > 4x + 25
12x - 7 > 4x + 25
Collect like terms
12x - 4x > 25 + 7
8x > 32
x > 32/8
x > 4
Therefore, the range of the possible values of x is:
x > 4
Learn more triangle theorems here: brainly.com/question/2102943