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jonny [76]
2 years ago
13

18 buses to 66 cars write the ratio in simplest form

Mathematics
2 answers:
Digiron [165]2 years ago
7 0
3 buses to 11 cars is the ratio
Anettt [7]2 years ago
4 0

Answer: 3/11

Step-by-step explanation: We can write a ratio using the word <em>to</em>, using a colon, or using a fraction bar. Here, since we want our ratio in simplest form, I would use a fraction bar.

We know that there are 18 buses and there are 66 cars.

So our ratio is simply 18/66.

Notice however that 18/66 is not in simplest form so we need to divide the numerator and the denominator by the greatest common factor of 18 and 66 which is 6 to get the equivalent fraction 3/11.

So the ratio of buses to cars is 3/11

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Answer:

C) $25 + $1.25

Step-by-step explanation:

1.  51 x .5 = 25.5

2.  25.5 x .05 = 1.275

25 + 1.25  ≈  25.5 + 1.28

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You make 10$ an hour babysitting and 20$ an hour lifeguard you need to make at least 120$ next week to buy a concert ticket you
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Answer:

Which of these sentences from the excerpt most strongly supports the correct answer to Question 5?

Answer choices for the above question

Quesiton 5 says

Which of these inferences about the author’s point of view is best supported by the entire excerpt?

From: The Immortal Life of Henrietta Lacks" lesson

A. “She’s simply called HeLa, the code name given to the world’s first immortal human cells—her cells, cut from her cervix just months before she died.”

B. “I’ve spent years staring at that photo, wondering what kind of life she led, what happened to her children, and what she’d think about cells from her cervix living on forever—bought, sold, packaged, and shipped by the trillions to laboratories around the world.”

C. “One scientist estimates that if you could pile all HeLa cells ever grown onto a scale, they’d weigh more than 50 million metric tons—an inconceivable number, given that an individual cell weighs almost nothing.”

D. “All of the stories mentioned that scientists had begun doing research on Henrietta’s children, but the Lackses didn’t seem to know what that research was

Step-by-step explanation:

Which of these sentences from the excerpt most strongly supports the correct answer to Question 5?

Answer choices for the above question

Quesiton 5 says

Which of these inferences about the author’s point of view is best supported by the entire excerpt?

From: The Immortal Life of Henrietta Lacks" lesson

A. “She’s simply called HeLa, the code name given to the world’s first immortal human cells—her cells, cut from her cervix just months before she died.”

B. “I’ve spent years staring at that photo, wondering what kind of life she led, what happened to her children, and what she’d think about cells from her cervix living on forever—bought, sold, packaged, and shipped by the trillions to laboratories around the world.”

C. “One scientist estimates that if you could pile all HeLa cells ever grown onto a scale, they’d weigh more than 50 million metric tons—an inconceivable number, given that an individual cell weighs almost nothing.”

D. “All of the stories mentioned that scientists had begun doing research on Henrietta’s children, but the Lackses didn’t seem to know what that research was

5 0
2 years ago
Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp
aleksklad [387]

Answer:

95.44% probability the resulting sample proportion is within .04 of the true proportion.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sampling distribution of the sample proportion in sample of size n, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.2, n = 400

So

\mu = 0.2, s = \sqrt{\frac{0.2*0.8}{400}} = 0.02

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16.

X = 0.24

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.24 - 0.2}{0.02}

Z = 2

Z = 2 has a pvalue of 0.9772.

X = 0.16

Z = \frac{X - \mu}{s}

Z = \frac{0.16 - 0.2}{0.02}

Z = -2

Z = -2 has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

95.44% probability the resulting sample proportion is within .04 of the true proportion.

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Answer: did you ever get the answer ?

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