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3 years ago

Find two numbers if their ratio is 9:11 and their difference is 6.

Mathematics

2 answers:

balu736 [363]3 years ago

4 0

Answer:

27:33

Step-by-step explanation:

If u multiply both sides of the ratio by the same number, u get an equivalent ratio. By multiplying 9:11 by 3 on both sides, you get 27:33. The difference refers to subtraction. 33-27= 6 which is the difference between the two numbers.

Alexeev081 [22]3 years ago

4 0

Answer: The required numbers are 27 and 33.

Step-by-step explanation: We are given to find two numbers if their ratio is 9:11 and their difference is 6.

Let the two numbers be 9x and 11x.

Then, according to the given information, we have

$11x-9x=6\\\\\Rightarrow 2x=6\\\\\Rightarrow x=\dfrac{6}{2}\\\\\Rightarrow x=3.$

Therefore, the numbers are

$9x=9\times3=27,\\\\11x=11\times3=33.$

Thus, the required numbers are 27 and 33.

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3 years ago

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Calculate the new balance of an account that has been sitting for three years with a 1.5% interest rate and had an initial depos

maksim [4K]

Answer:

$5225

Step-by-step explanation:

Use the formula for the amount after simple interest: $A = P(1 + rt)$

"A" is the final amount, or balance.

"P" is the principal, or the starting amount.

"r" is the rate of interest in decimal form.

"t" is the time.

What we know:

P = 5000

t = 3

r = 1.5%

Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.

1.5% => 0.015 = r

Substitute what we know into the formula:

A = P(1 + rt)

A = 5000(1 + (0.015)(3)) <=simplify

A = 5000(1 + 0.045)

A = 5000(1.045)

A = 5225 <= new balance

The new balance of an account is $5225.

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3 years ago

In the following hypothetical scenarios, classify each of the specified numbers as a parameter or a statistic.

soldi70 [24.7K]

Answer:

Explained below.

Step-by-step explanation:

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

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There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a parameter.

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In a 2015 Gallup poll of 1025 adults living in the United States, 53% said they trust the judicial branch of the federal government. The 53% here is a statistic.

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(d)

The 72 employees at ABC company have a mean income of $52,317 with a standard deviation of $36,829. The $36,829 is a parameter.

(e)

In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a statistic.

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3 years ago

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3 years ago

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bagirrra123 [75]

Answer:

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Step-by-step explanation: