C) dilations of an angle are congruent to the original angle
D) dilations increase the measure of angles
E) dilations of a triangle are congruent to the original triangle
F) dilations dilations of a triangle are similar to the original triangle
Answer:
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Step-by-step explanation:
Answer:
The correct answer is C. 150x + 625 because x equals the total number of weeks. Hope this helps!
Answer:
Step-by-step explanation:
The distance formula to calculate distance between two points (a,b) and (c,d) is given by :-
Now, the distance between(2, 5) and (5, 7) is given by :-
Hence, the distance between the points (2, 5) and (5, 7)
Step-by-step explanation:
The probability that the dealer will be fined is 0.0948
To find p(a <= Z <= b) = F(b) - F(a)
P(X < 20) = (20 - 30.5)/3.4489
= -10.5/3.4489
= -3.0444
= P(Z < -3.0444) from standard normal table
= 0.00117
P(X < 26) = (26 - 30.5)/3.4489
= -4.5/3.4489 = -1.3048
= P(Z < -1.3048) From standard normal table
= 0.09599
P(20 < x < 26) = 0.09599 - 0.00117 = 0.0948
The answer in this question is 0.0948
To determine the probabilities requested, the normal distribution model is employed. The number of favorable reports follows a normal distribution with mean μ = 0.73 * 69 and standard deviation σ. The probabilities are then calculated from the z-scores corresponding to the given ranges, using standard normal distribution tables or calculators.
To calculate the probability that the dealership will be fined or dissolved, we use the normal distribution model because the sample size is large enough, and the variable (the number of customers who report favorably) can be approximated by a normal distribution. Given that 73% of the dealer's customers report favorably, and we have a sample size of 69 customers, we can find the mean (μ) and the standard deviation (σ) of the distribution. The mean (μ) is 0.73 * 69, and the standard deviation (σ) is .
To find the z-score for the number of favorable reports between 40 and 46, we use the formula z = (x - μ) / σ. Then we find the corresponding probabilities using the standard normal distribution table or a calculator providing such functionalities. To find the probability that the dealer will be fined, we subtract the cumulative probability at the lower boundary from that at the upper boundary. Similarly, to find the probability that the dealership will be dissolved (fewer than 40 favorable reports), we find the cumulative probability at 39 (since it's fewer than 40) and use it directly because it represents all values below that number.
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Answer: 4 hours
Step-by-step explanation: