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TaureanHilton

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A. The perpendicular to PS through point Q is the shortest distance between the points.

B. The perpendicular to PS through point Q falls on the vertical line through P and Q.

C. The construction is a parallelogram.

D. The construction can be verified through geometry.

Once the construction below is complete, creating a parallel line to PS through point Q which of the reasons listed contribute to proving the validity of the construction?

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In this image, Brad is 6 feet tall and the tree is 24 feet tall. His shadow is 12 feet long.

A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow?

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of Δ DEF ?

The scale factor of Δ DEF is 2.

In the xy-coordinate plane, Δ ABC has vertices at A(1, -2), B(1, 0.5), and C(2, 1) and Δ DEF has vertices at D(4, -3), E(4, 2), and F(6, 3). The triangles are similar because Δ DEF is the image of Δ ABC under a dilation. what is the scale factor

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The image of Δ ABC under a dilation is shown in the xy-coordinate plane, where the vertices are at A(1, -2), B(1, 0.5), and C(2, 1). The triangles are similar because Δ ABC is the image of Δ DEF under a dilation.

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to Δ DEF .

1) The transformation is a translation.
2) The transformation is a reflection.

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A line parallel to r through point Q is constructed by drawing a line from P to Q and then extending the line to T.

The figure shows line r, points P and T on line r, and point Q not on line r. Also shown is ray PQ. Consider the partial construction of a line parallel to r through point Q. What would be the final step in the construction?

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A margin of error is reported along with the results of a survey. A survey of 700 computer game players found that 62% favored increasing the number of levels. The margin of error is ±4%. If 20,000 players were surveyed, the maximum number who favored increasing the number of levels would be 12%

A margin of error is sometimes reported along with the results of a survey. An unbiased poll of 700 computer game players found that 62% favored increasing the number of levels. The margin of error was ±4%. If 20,000 players were surveyed, what is the maximum number who favored increasing the number of levels?

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All 100 subjects were monitored through the winter to see how many caught the flu.

Out of a group of 100 subjects, 50 were randomly selected to receive Vitamin D supplement. All 100 subjects were monitored through the winter to see how many caught the flu.

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Hannah is counting how many meteors she sees each minute during a meteor shower. She records her data in a table. The first 5 minutes she sees 6, 4, 10, 3, and 7 meteors. If she sees 10 meteors in the next minute, her data would be amended to 7, 5, 9, 4, and 6 meteors. Her mean and standard deviation would both be amended to reflect this change.

During a meteor shower, Hannah counts how many meteors she sees each minute. During the first 5 minutes she sees 6, 4, 10, 3, and 7 meteors. If she sees 10 meteors in the next minute, how does this affect the mean and the standard deviation of the data?

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The Stanford-Binet IQ Test is a normal curve with a mean of 100 and a standard deviation of 20. Estimates the probability that a randomly selected person has an IQ between 90 and 110? Approximately 0.3%.

The Stanford-Binet IQ Test is a normal curve with a mean of 100 and a standard deviation of 20. Estimate the probability that a randomly selected person has an IQ between 90 and 110?

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In a random sample of 30 customers, the average savings was $405.

An automobile insurance company claims that its rates for teenage drivers average $470 less per year than the same coverage from another company. In a random sample of 30 customers, the average savings was $405 per year, with a standard deviation of $30 per year. What is the z-value rounded to the nearest hundredth? Is there enough evidence to reject the claim?

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A researcher is looking at a lake and wants to know how many fish are tagged. They estimate that there are at least 90 fish that need to be tagged in order to get an accurate estimate of the population size. The researcher is confident that the population size falls within a margin of error of ±0.6 fish.

A wildlife researcher wants to know how many fish in a lake have been tagged by previous researchers. Use a 90% confidence interval to estimate the minimum number of fish that need to be caught and examined in order to yield results that are normally distributed with a standard deviation of 3 and a margin of error of ±0.6 fish with tags.

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A farmer finds the mean mass for a random sample of 200 eggs laid by his hens to be 57.2 grams. If the masses of eggs for this breed of hen are normally distributed with standard deviation 1.5 grams, estimate the mean mass, to the nearest tenth of a gram, of the eggs for this breed using a 99% confidence interval.

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In a random sample of 30 customers, the average savings was $435 per year, with a standard deviation of $65 per year. There is enough evidence to reject the claim.

An automobile insurance company claims that its rates for teenage drivers average $470 less per year than the same coverage from another company. In a random sample of 30 customers, the average savings was $435 per year, with a standard deviation of $65 per year. What is the z-value rounded to the nearest hundredth? Is there enough evidence to reject the claim?

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A poll conducted by an airline company shows that a majority of passengers (56%) could do without complimentary drinks on board the aircraft, while just 44% said they could do without in-flight movies. Given the margin of error for the poll, it is not clear whether this poll accurately predicts the outcome of the voting.

An airline company needs to cut costs. It polls passengers to find out which of two services they could eliminate to lower the cost of tickets. 56% of passengers said they could do without complementary drinks. 44% of passengers said they could do without in-flight movies. The margin of error for the poll was ±7%. Does the poll clearly predict the outcome of the voting?

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A wildlife researcher is trying to estimate how many fish in a lake have been tagged by other researchers. The researcher uses a 95% confidence interval to estimate the minimum number of fish that need to be caught and examined in order to yield results that are normally distributed with a standard deviation of 3 and a margin of error of ±0.6 fish.

A wildlife researcher wants to know how many fish in a lake have been tagged by previous researchers. Use a 95% confidence interval to estimate the minimum number of fish that need to be caught and examined in order to yield results that are normally distributed with a standard deviation of 3 and a margin of error of ±0.6 fish with tags.

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A normal distribution is shown with a mean of 0 and a standard deviation of 1. This tells us that the probability of x<0.64 is 0.36.

Suppose is a normally distributed random variable with mean μ = 0 and standard deviation σ = 1. Find the probability that x < 0.64.

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