The picture frames shown are both squares. The area of the smaller frame is 14 the area of the larger frame. Find the side lengt
h of the larger frame.
1 answer:
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Answer:
<ABC = 49°
Step-by-step explanation:
The sum of two supplementary angle is 180. From the diagram, the two angles are 3x+4 and 8x+11. IF this two angles are supplementary then;
3x+4+8x+11 = 180
11x+15= 180
11x = 180-15
11x = 165
x = 165/11
x = 15
From the attached diagram, <ABC = 3x+4
<ABC = 3(15)+4
<ABC = 45+4
<ABC = 49°
Answer:
The probability that the value of P will be less than 0.81 is 0.7642.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
Given:
<em>n</em> = 100
<em>p</em> = 0.78
Since <em>n</em> = 100 > 30, according to the central limit theorem the sampling distribution of sample proportion follows a Normal distribution.
Compute the value of as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the value of P will be less than 0.81 is 0.7642.