Answer:
Area of the figure = 200 cm²
Step-by-step explanation:
Area of rectangle A = Length × Width
= 5×9
= 45 cm²
Area of rectangle B = 5 × 11
= 55 cm²
Area of rectangle C = 5 × 9
= 45 cm²
Area of rectangle D = 5 × 7
= 35 cm²
Area of rectangle E = 10 × 2
= 20 cm²
Total area of the figure = 45 + 55 + 45 + 35 + 20
= 200 cm²
The value of x in the triangle is (a) 22
<h3>How to solve for x?</h3>The complete question is in the attached image.
From the attached image of the triangle, we have:
Evaluate sin(45)
Solve for x
Divide
x = 22
Hence, the value of x is (a) 22
Read more about special triangles at:
#SPJ1
Answer:
14.63% probability that a student scores between 82 and 90
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 student scores between 82 and 90?
This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So
X = 90
has a pvalue of 0.9649
X = 82
has a pvalue of 0.8186
0.9649 - 0.8186 = 0.1463
14.63% probability that a student scores between 82 and 90