the rectangle shown has a perimeter of 70cm and the given area. It’s length is 8 more than twice it’s width. Write and solve a s
1 answer:
Dimensions of rectangle are:
Length = 26 cm
Width = 9 cm
Step-by-step explanation:
Perimeter of rectangle = 70 cm
Width= x
Length = 2x+8
We need to find the value of length and width of rectangle.
The formula used is:
Putting values:
So, Value of Width = x = 9 cm
Value of Length = 2x+8 = 2(9)+8 = 18+8=26 cm
So Dimensions of rectangle are:
Length = 26 cm
Width = 9 cm
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Answer:
2.28% probability that a person selected at random will have an IQ of 110 or higher
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.
In this problem, we have that:
What is the probability that a person selected at random will have an IQ of 110 or higher?
This is 1 subtracted by the pvalue of Z when X = 110. So
has a pvalue of 0.0228
2.28% probability that a person selected at random will have an IQ of 110 or higher