yesterday, noah ran 2 1/2 miles in 3/5 of an hour. Emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/3 in 3/5 hour. How fast, in miles per hour l, did each person run? who ran the fastest?

To determine how many cars in the lot are red, we need to find one-third of the total number of cars. In this case, we are told that one out of every three cars is red, so the probability of a randomly chosen car being red is 1/3. The calculation is: Number of red cars = 54 * (1/3) = 18 cars.

To determine how many cars in the lot are red, we need to find one-third of the total number of cars. In this case, we are told that one out of every three cars is red, so the probability of a randomly chosen car being red is 1/3.

To calculate how many cars out of 54 are red, we can multiply the total number of cars by the probability of a car being red:

Number of red cars = 54 * (1/3) = 18 cars

Therefore, there are 18 cars that are red in the lot.

Answer:

The margin of error for this population proportion using half the range = ±0.09

Step-by-step explanation:

Confidence Interval is basically an interval of range of values where the true proportion can be found with a certain level of confidence.

Margin of Error is the width of the confidence interval about the central proportion.

For this question, the minimum sample proportion from the simulation is 0.10, and the maximum sample proportion from the simulation is 0.28, hence, the confidence interval for the question is (0.10, 0.28).

The width of this confidence interval = (Upper limit of the interval) - (Lower limit of the interval) = 0.28 - 0.10 = 0.18.

Hence, the margin of error for this population proportion using half the range, is 0.18/2 = 0.09.

Written appropriately as ±0.09.

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The smallest 9-digit number in the form aaa,aaa,aaa that is divisible by 9 is 111,111,111 because the sum of its digits is 9, which follows the divisibility rule for 9.

To find the smallest 9-digit number in the form aaa,aaa,aaa that is divisible by 9, we need to use the divisibility rule for 9. A number is divisible by 9 if the sum of its digits is also divisible by 9. Since we are looking for the smallest such number, we start with the smallest non-zero digit, which is 1.

The smallest 9-digit number where all digits are the same would be 111,111,111. Adding all the digits together, 1+1+1+1+1+1+1+1+1 equals 9, which is divisible by 9. Therefore, 111,111,111 is the smallest 9-digit number of the form aaa,aaa,aaa that is divisible by 9.

The antonym for the word thrive would be A. Fail Hope this helps :)

The required antonym for the word thrive is fall. Option A is correct.

The word "thrive" means to prosper, succeed, or flourish. Therefore, the antonym for "thrive" would be a word that represents the opposite, such as "fail." When someone fails, they do not achieve success or prosper in their endeavors. In the given sentence, Jasper is confident that he will thrive in his new school, indicating that he expects to do well and succeed. Choosing the word "fail" as the antonym creates a clear contrast, as it represents the opposite outcome of not being able to thrive or achieve success.

Thus, the requried antonym for the word thrive is fall. Option A is correct.

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[tex] (2-9i)+(-2+7i)=-2i [/tex]

[tex] 4^8=65536 [/tex]

4^8 = 65536 answer is correct

The new position of the submarine in relation to sea level is -1,200 feet.

Your calculation is correct. To find the new position of the submarine in relation to sea level after descending at a rate of 5 feet per minute for 12 minutes, you can use the formula:

New position = Initial position - (Rate of descent * Time)

In this case:

New position = -1,260 feet - (5 feet/minute * 12 minutes)

= -1,260 feet - 60 feet

= -1,200 feet

So, the new position of the submarine in relation to sea level is -1,200 feet.

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Answer:

The correct answer is 6.

Step-by-step explanation:

I just did this question as well and 6 was the correct answer. Hope this helped :)

Answer:
(10 - 3x)(10 + 3x)

Explanation:

This type of question yields what is called a difference of squares, which is recognizable because of the subtraction (-) operation between the two terms of the binomial. When questions like this are seen, the formula for difference of squares can be implemented. This formula is:

(a² - b²) = (a - b)(a + b)

With this, we can square root both terms of the original binomial and plug our variables for a and b into the formula.

Let 100 = a², let 9x² = b²

√(100) = 10
√(9x²) = 3x

Those values are now a and b, respectively, so when we place them in their spots in the formula, the completed factoring is: (10 - 3x)(10 + 3x)

To check this answer for accuracy, we can use the FOIL method and combine like terms to see if it gives us the original equation. FOIL stands for Firsts, Outsides, Insides, and Lasts, instructing us which terms should be multiplied together so:

Firsts: 10(10) = 100
Outsides: 10(3x) = 30x
Insides: -3x(10) = -30x
Lasts: -3x(3x) = -9x²

We place them in the same equation and combine like terms:
100 + 30x - 30x - 9x²
100 + 0 - 9x²
100 - 9x²

We are back to our original equation so the answer of (10 - 3x)(10 + 3x) is accurate.