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3 years ago

It costs you $10 to draw a sample size n=1 and measure the attribute of interest. you have a budget of $1,200

1 answer:

6 0

a. Do you have sufficient funds to estimate the population mean for the attribute of interest with a 95% confidence interval 4 units width? Assume that sd= 12

n= {[(Zalpha/2)^2]*[sd]^2}/ se^2

n= (1.96)^2*(12)^2/ (2)^2

n= 138.297 rounded up to 139

There is not enough funds for this one since you’ll need 139 pieces and it costs 10 a piece, you’ll need 1390.

b. 90% confidence interval

n= {[(Zalpha/2)^2]*[sd]^2}/ se^2

n= (1.645)^2*(12)^2/ (2)^2

n=98

There is enough funds since 98 pieces for 10 a piece is equal to 980.

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6 + 8x, where x is a number. You can also write this in standard form as 8x + 6.

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3 years ago

D Evaluate arcsin (6)] at x = 4. dx

sineoko [7]

Answer:

$\frac{1}{2\sqrt{5} }$

Step-by-step explanation:

Let, $\text{sin}^{-1}(\frac{x}{6})$ = y

sin(y) = $\frac{x}{6}$

$\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})$

$\frac{d}{dx}\text{sin(y)}=\frac{1}{6}$

$\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}$ ---------(1)

$\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}$

$\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}$

cos(y) = $\sqrt{1-\text{sin}^{2}(y) }$

= $\sqrt{1-(\frac{x}{6})^2}$

= $\sqrt{1-(\frac{x^2}{36})}$

Therefore, from equation (1),

$\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}$

Or $\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}$

At x = 4,

$\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}$

$\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}$

$=\frac{1}{6\sqrt{\frac{36-16}{36}}}$

$=\frac{1}{6\sqrt{\frac{20}{36} }}$

$=\frac{1}{\sqrt{20}}$

$=\frac{1}{2\sqrt{5}}$

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2 years ago

A negative number raised to an exponent is positive. Which of the following is not true?

Serga [27]

Answer:

the number could be odd.

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3 years ago

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belka [17]

Answer: can u take a better picture and is the 9th grade

Step-by-step explanation:

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3 years ago

Read 2 more answers

when buying lemonade mix , Cece spend $0.72 on a 6- ounce packet and $0.27 on a 3- ounce packet . Use unit rates to determine if

siniylev [52]

6- ounce packet rate = $0.72 .

In order to find the one ounce rate, we need to divide $0.72 by 6.

On dividing 0.72 by 6, we get $0.12.

Therefore, first unit rate is $0.12 per ounce.

3- ounces packet rate = $0.27.

In order to find the one ounce rate, we need to divide $0.27 by 3.

On dividing 0.27 by 3, we get $0.09.

Therefore, second unit rate is $0.09 per ounce.

<h3>So, we can say that each pair of rates is not equivalent. </h3>

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3 years ago