Yadira and her friend are renting a property together. The monthly rent is $1,150.00, and monthly utilities will average $485.00
1 answer:
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Answer: SECOND OPTION.
Step-by-step explanation:
For this exercise it is important to remember "Rigid transformations".
Rigid transformations are those transformation that preserves length. These are the following:
- Reflection.
- Tanslation.
- Rotation.
According to the information given in the exercise, the triangle JKL was translated 12 units vertically and then reflected over the y-axis to create triangle J'K'L'. Therefore, JKL and J'K'L' are congruent.
Knowing the above, you can set up the following equation:
The final step is to solve for "x" in order to find its value. You get that this is:
Answer:
a) The probability is the p-value of , in which X is the gas mileage of the 2020 Honda Civic.
b) Your dad's truck is 1.65 standard deviations below the mean.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Normal with mean 22.6 miles per gallon (mpg) and standard deviation 5.2 mpg.
This means that
a. What proportion of vehicles have worse gas mileage than the 2020 Honda Civic?
This is the p-value of Z, given by:
In which X is the gas mileage of the 2020 Honda Civic.
b. My dad has a truck that gets around 14 mpg. How many standard deviations from the mean is my dad's truck?
This is Z when X = 14. So
Your dad's truck is 1.65 standard deviations below the mean.