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Maksim231197 [3]
2 years ago
6

Fill in the blanks to explain how Harry can check whether his solution is correct

Mathematics
1 answer:
Tresset [83]2 years ago
5 0

<u><em>Answer is in bold</em></u>

Harry can first substitute 30 for t. He can then multiply \frac{1}{3} by 30 to get a product of 10. Since 15 is equal to 30 × 1/2, Harry's solution is not correct.

Hope this helps :)

Have a great day!

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Which statement describes a ratio?
Mnenie [13.5K]

Answer:

C. For every 2 red candies in a bag, there are 3 green candies.

Step-by-step explanation:

A ratio always contains 2 figures.

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3 years ago
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A coach travels to the beach which is 576 KM away in 6 hours. If he is only allowed to travel at a maximum speed of 90 kph, did
Whitepunk [10]

Answer:

Yes

Step-by-step explanation:

576Km:6Hrs

576 divided by 6=96 km

6 divided by 6=1

96km:1hr

96 was the coaches speed limit

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3 years ago
What is the sum of (–2.1x + 3.7) and (5 + 4.9x)?
vesna_86 [32]

It's easier to work with problems such as –2.1x + 3.7 -5 + 4.9x when we rearrange the like terms vertically:


–2.1x + 3.7 -5 + 4.9x


becomes


–2.1x + 3.7

+4.9x -5

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2.8x - 1.3 (answer)


4 0
3 years ago
A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of
Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

Mean of 15.4 inches, and standard deviation of 3.5 inches.

This means that \mu = 15.4, \sigma = 3.5

16 items are chosen at random

This means that n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

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

By the Central Limit Theorem

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

Z = \frac{16.8 - 15.4}{0.875}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

5 0
3 years ago
What is 9.375 Rounded to the nearest hundredth
stiks02 [169]

Note the hundredth place value (underlined and bolded):

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Look at the number to the right of the hundredth place value. It is a 5. Because you round up if the number is 5 or greater, you round up in this case (you round down if it is 4 or less).

9.375 rounded to the nearest hundredth is 9.38

~

3 0
3 years ago
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