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Kitty [74]
3 years ago
10

If f(x)=1/x+2/x, then f(1/3)=

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer:

f(1/3) = 9

Step-by-step explanation:

f(x)=1/x+2/x

Combine terms

f(x) = 3/x

f(1/3) = 3 / (1/3)

f(1/3) = 9

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A group of young businesswomen wish to open a high fashion boutique in a vacant store, but only if the average income of househo
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Answer:

<u>Based on the results the boutique could be located there.</u>

<u>Step-by-step explanation:</u>

Note: The average income (the mean) is calculated by summing the total incomes then divided by the total sample–9.

The mean ù (average income) = $28,000 + $24,000 + $26,000 + $25,000 + $23,000 + $27,000 + $26,000 + $22,000 + $24,000= $225,000/9= $25,000 (which is ≥ $25,000.

Based on the results of the p-value, using the 5% significant level <em>we fail to reject the null hypothesis</em> (ú≥25,000).

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3 years ago
The Valley High School Auditorium is able to seat 8 elementary school groups of 65 students each. Use the distributive property
Nezavi [6.7K]
If there are 8 groups of 65 students, that means they can seat 8*65 students total. 520 students
6 0
3 years ago
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Tell whether or not f(x)= π sin 3x -4π sin 2 x is a sinusoid.
gregori [183]
<h2>B. No</h2>

The given equation is not a sinusoid

4 0
3 years ago
The distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a sta
Anestetic [448]

Answer:

By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

Step-by-step explanation:

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.

Average of 1,200 dollars and a standard deviation of 900 dollars.

This means that \mu = 1200, \sigma = 900

Sample of 10.

This means that n = 10, s = \frac{900}{\sqrt{10}} = 284.6

The sampling distribution of the sample mean amount of money in a savings account is

By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

7 0
3 years ago
The diagram shows a sector of a circle radius 10 cm. the angle is 135 degrees
Black_prince [1.1K]

Answer:

The perimeter is 43.6 cm

Step-by-step explanation:

In this question, we are tasked with calculating the perimeter of the sector.

Firstly, we define what a sector is. A sector is part of a circle which is is blinded by two radii and an arc. Hence we say a sector contains two radii.

Thus, to calculate the perimeter of the sector, we need the length of the arc added to 2 * length of the radius

Let’s calculate the length of the arc.

Mathematically, this is theta/360 * 2 * pi * r

where theta is the angle subtended at the middle of the circle which is 135 according to the question, and our radius is 10cm

Thus, we have

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Adding two radii to this, we have;

23.57 + 2(10)

= 23.57 + 20 = 43.57 = 43.6 cm to 1 decimal place

5 0
3 years ago
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