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3 years ago

The regular price of a TV is $475. It's currently on sale for 30% off. What is

Mathematics

1 answer:

Hitman42 [59]3 years ago

7 0

Answer:

You will pay $332.50 for a item with original price of $475 when discounted 30%

meaning the discount is $142.50

Step-by-step explanation:

if you buy an item at $475 with 30% discount, you will pay 475 - 142.5 = 332.5 dollars.

please give brainliest and thanks if possible

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compare the right-hand and left-hand derivatives to show that the function is not differentiable at the point P. find all points

Softa [21]

$f(x)= \left \{ {{ \sqrt{x} } \atop {2x-1}} \right. 
\\
\\ f'(x)= \left \{ {{ \frac{1}{2\sqrt{x}} } \atop {2}} \right. 
\\
\\ f'(1)= \left \{ {{ \frac{1}{2}} \atop {2}} \right. 
\\
\\ f'(1^-) \neq f'(1^+)$

Therefore, the function is not differentiable at x = 1.

$f(x)= \sqrt{x} 
\\
\\f'(x)= \frac{1}{2 \sqrt{x} } 
\\
\\f'(0)=\frac{1}{2 \sqrt{0} } = \infty$

Therefore, the function is not differentiable at x = 0.

3 0

3 years ago

An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than

Sauron [17]

The test statistic for the hypothesis would be 1.413.

Given that the participants in its new diet program lose, on average, more than 13 pounds and the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds.

The objective is to text the advertisement's claim that participants in new diet program lose weight, on average, more than 13 pounds.

Hypothesis:

Null hypothesis:H₀:μ=13

Alternative hypothesis:Hₐ:μ>13

Here, μ be the mean weight loss of all participants.

n=30,

Degree of freedom n-1=30-1=29

$\bar{x}$ =13.8 and s=3.1

To test the null hypothesis H₀, the value of test static would be calculated as follows:

$\begin{aligned}t&=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}\\ t_{29}&=\frac{13.8- 13}{\frac{3.1}{\sqrt{30}}}\\ &=\frac{0.8}{0.566}\\ &=1.413\end$

Hence, the value of the test static for the hypothesis with the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds is 1.413.

Learn more about hypothesis from here brainly.com/question/14783359

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6 0

2 years ago

Evaluate

Montano1993 [528]

Step-by-step explanation:

Multiplication of fractions is easiest operation. Simply multiple numerator to numerator and denominator to denominator. For example,

$\frac{x}{y} * \frac{a}{b }= \frac{x*a}{y*b}$

Addition and subtraction requires that we find a common demoninator.

For example,

$\frac{6}{4} + \frac{4}{3}$

The common denominator is 12. So I need to muliply each fraction to get the right denominator. 4*3 = 12.

$\frac{6}{4}*\frac{3}{3} + \frac{4}{3} \frac{4}{4} = \frac{18}{12}+\frac{16}{12}$

Then we add the numerators

$\frac{18+16}{12} = \frac{32}{12}$

Then we should reduce.

$\frac{16}{6} = \frac{8}{3}$

Division is a little trickier because we have to flip-flop the second term and then multiply. For example: $\frac{1}{10} \div \frac{5}{6} \rightarrow \frac{1}{10} * \frac{6}{5} = \frac{6}{50}$