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777dan777 [17]
1 year ago
12

Please help me quickly. Thank you

Mathematics
2 answers:
zysi [14]1 year ago
7 0

<u>Answer:</u>

x = \bf -7

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

\frac{3}{4} (x + 21) = 10\frac{1}{2}

• Divide both sides by \frac{3}{4} :

⇒ x + 21 = 10\frac{1}{2} \space\ \div \frac{3}{4}

⇒  x + 21 = 10\frac{1}{2} \space\ \times \frac{4}{3}

⇒ x + 21 = 14

• Subtract 21 from both sides:

⇒ x = 14 -21

⇒  \boxed {x = \bf -7}

Ludmilka [50]1 year ago
3 0
3/4(x+21) = 10.5
0.75x+15.75 = 10.5
0.75x = -5.25
x = -7

Hope it helps : )
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Hey there :)

We know the volume formula of a triangular prism
Volume = base area × height of prism

We are given:
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Height of prism = 7.5 ft

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4 0
3 years ago
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12. If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that th
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Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

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Step-by-step explanation:

We have the following info given:

Confidence= 0.95 the confidence level desired

ME =0.03 represent the margin of error desired

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

The confidence level is 95% or 0.95, the significance is \alpha=0.05 and the critical value for this case using the normal standard distribution would be z_{\alpha/2}=1.96

Since we don't have prior information we can use \hat p= 0.5 as an unbiased estimator

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n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

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6 0
3 years ago
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Step-by-step explanation:

3 0
3 years ago
| 2p -1 | =45, what are the values of p?
Alex73 [517]

Answer:

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Step-by-step explanation:

| 2p -1 | =45

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Add 1 to all sides

2p-1+1 = 45+1    and 2p-1+1 = -45+1

2p = 46                        2p = -44

Divide by 2

2p/2 = 46/2    and   2p/2  = -44/2

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3 years ago
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Answer:

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