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2 years ago

1. Write 50% as a reduced fraction.

Mathematics

2 answers:

GalinKa [24]2 years ago

8 0

Answer:

The answer is: $\dfrac{1}{2}$

Step-by-step explanation:

We have

$50\%=0.50=\dfrac{50}{100}=\dfrac{1}{2}$

77julia77 [94]2 years ago

4 0

Answer:

1/2

Step-by-step explanation:

think of it like this if you turn 1/2 into a decimal it would give you a 0.50 take away that 0 in decimal put the percent sign behind it and you got yourself 50% or if you take 100% and split it in half you get 50% now take one and split one and a half you get 1/2

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In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

3 years ago

WILL MARK BRAINLIEST!!!!!!! REALLY NEED HELP! The graph of the following compound inequality shows all the numbers between 4 and

DIA [1.3K]

True, because it is x is greater than OR EQUAL TO 4 so that means 4 is included. Then x is less than 8 so it’s not including 8. x could be 4,5,6, or 7

4 0

3 years ago

Find the values of x y and z

andrey2020 [161]

9514 1404 393

Answer:

x = 18√2
y = 18√3
z = 36

Step-by-step explanation:

These "special" right triangles have side length ratios that it is useful to remember.

45°-45°-90° triangle

Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.

x = 18√2

30°-60°-90° triangle

Shortest to longest, sides have the ratios ...

1 : √3 : 2

That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.

y = 18√3

z = 2·18 = 36

4 0

2 years ago

Which of the following rational functions is graphed below?

Illusion [34]

Answer:

A. $f(x) = \frac{x-1}{x\cdot (x-3)}$

Step-by-step explanation:

A rational-polynomic function is a function of the form:

$f(x) = \frac{p(x)}{q(x)}$ (1)

There are three important remarks on this kind of function:

1) $p(x) = 0$ when function passes through the x-axis.

2) If $q(x) = 0$ , then the function $f(x)$ has a vertical asymptote.

3) The horizontal asymptote is a linear function of the form $y = \lim_{x \to \pm \infty} f(x)$ .

In accordance with the graph, the function has two vertical asymptotes at $x = 0$ and $x = 3$ , numerator becomes zero for $x = 1$ and horizontal asymptote is $y = 0$ as grade of numerator is less than grade of denominator.