Answer:
The corresponding angles are congruent and the corresponding sides are proportional
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
therefore
The corresponding angles are congruent and the corresponding sides are proportional
Answer:
C = -10x+3
Step-by-step explanation:
So the simplified version of the main expression is -10x+3. after finding the main expression you just need to simplify the rest of them too.
A. = -10x+9
B. = 8x-9
C. = -10x+3
D. = -10x-3
Now that you simplified all the expressions, you can pick out the one that's the same as the target expression, which is C.
F(x) = 1/2(x)
(x) means integer part of x. [7.6] = 7
f(7.6) = 1/2(7.6) = 1/2(7) = 3.5
Answer:
95.86% probability that the sample proportion will differ from the population proportion by less than 3%
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:
For a proportion, we have that:
What is the probability that the sample proportion will differ from the population proportion by less than 3%
This is the pvalue of Z when X = 0.07 + 0.03 = 0.1 subtracted by the pvalue of Z when X = 0.07 - 0.03 = 0.04. So
X = 0.1
has a pvalue of 0.9793
X = 0.04
has a pvalue of 0.0207
0.9793 - 0.0207 = 0.9586
95.86% probability that the sample proportion will differ from the population proportion by less than 3%