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3 years ago

Find the total cost of a $35 basketball that is on sale for 50% off and the tax rate is 7%

1 answer:

7 0

$18.725 ; not sure if you want to round it to the nearest hundredths but if you take the original price and the tax rate you'll get: $17.50 then you take that and multiply it by 0.07.

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If f(x)= x2/x+3, find f(x+h)?

kompoz [17]

f(x+h) = $\frac{x^{2}+2xh+h^{2} }{x+h+3}$

Step-by-step explanation:

Given,

f(x) = $\frac{x^{2} }{x+3}$

To find the value of f(x+h) we need to replace x by x+h

Hence,

f(x+h) = $\frac{(x+h)^{2} }{x+h+3}$

= $\frac{x^{2}+2xh+h^{2} }{x+h+3}$

[Here, we apply the formula of $(a+b)^{2}= a^{2} +2ab+ b^{2}$ ]

6 0

3 years ago

Is this right? I’m confused for answering either B or C.

boyakko [2]

your profile says you're 22 but I find that painfully challenging to believe. She knits 5 scarves in 2 hours. Divide 10 by 2, you get 5. 5x5 is 25. It's C. You shouldn't need help. This is sad.

3 0

3 years ago

Read 2 more answers

The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answ

Elena-2011 [213]

Answer
2
Step by step
10•2=20

3 0

2 years ago

Read 2 more answers

Sasha can mow 3/8 of an acre of grass in 45minutes.how many acres of grass does Sasha now per hour?

horrorfan [7]

Keeping in mind that an hour is 60 minutes.

$\bf \begin{array}{ccll}
\stackrel{acre}{grass}&\stackrel{minutes}{time}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{3}{8}&45\\
g&60
\end{array}\implies \cfrac{\frac{3}{8}}{g}=\cfrac{45}{60}\implies \cfrac{\frac{3}{8}}{\frac{g}{1}}=\cfrac{45}{60}\implies \cfrac{3}{8}\cdot \cfrac{1}{g}=\cfrac{45}{60}
\\\\\\
\cfrac{3}{8g}=\cfrac{45}{60}\implies 180=360g\implies \cfrac{180}{360}=g\implies \cfrac{1}{2}=g$

6 0

2 years ago

A small town has 2000 families. The average number of children per family is mu = 2.5, with a standard deviation sigma = 1.7. A

Nikitich [7]

Answer:

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where $\mu=2.5$ and $\sigma=1.7$

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And for this case the standard error would be:

$\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where $\mu=2.5$ and $\sigma=1.7$

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And for this case the standard error would be:

$\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125$

6 0

3 years ago