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Alchen [17]
3 years ago
14

Translate the expression x/2+6•x into words

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0
X divided by 2 plus six multiplied by x
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Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12%
Ad libitum [116K]
The answer to this question would be <span>B. Mystic
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Since the rate should be constant, option C and D wouldn't be true.</span>
If the Four Rivers bank gives 12% per year and Mystic Bank gives 14% per year, it will be 3% per quarter year for Four Rivers Bank and 7% semiannually for Mystic Bank. 
The total rate would become:
Four rivers 103%^4= 1.125
Mystic : 107%^2= 1.145

5 0
3 years ago
The perimeter of a semicircle is 5.14 feet. What is the semicircle’s area?
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\bf \textit{circumference of a semi-circle}\\\\&#10;C=\pi r\qquad &#10;\begin{cases}&#10;r=radius\\&#10;-----\\&#10;C=5.14&#10;\end{cases}\implies 5.14=\pi r\implies \boxed{\cfrac{5.14}{\pi }=r}\\\\&#10;-------------------------------\\\\&#10;\textit{area of a semi-circle}\\\\&#10;A=\cfrac{\pi r^2}{2} \implies A=\cfrac{\pi }{2}r^2\implies A=\cfrac{\pi }{2}\left( \boxed{\cfrac{5.14}{\pi }} \right)^2&#10;\\\\\\&#10;A=\cfrac{\pi }{2}\implies \cfrac{5.14^2}{\pi ^2}\implies A=\cfrac{26.4196}{2\pi }\implies A=\cfrac{13.2098}{\pi }
5 0
3 years ago
What is theformula for finding the hight of a 30-60-90 degree triangle
miv72 [106K]
We don't know which side your triangle is sitting on, so the 'height'
could be any one of three values.

Here are the two simple tools that tell you everything you want to
know about a 30°-60°-90° triangle.  These are worth memorizing:

-- The side opposite the 30° angle is 1/2 of the hypotenuse.

-- The side opposite the 60° angle is 1/2 of the hypotenuse times √3 .

I memorized them exactly 60 years ago.  They've been very useful,
and as far as I know, they haven't changed.
7 0
3 years ago
Which of the following is equivalent to
Firlakuza [10]

Answer: it will be D

Step-by-step explanation: if You graph them you will get the same coordinate plates

7 0
3 years ago
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor
melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: H_{0}: p = 0.7

And the alternate hypothesis is: H_{a}: p > 0.7

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7, \sigma = \sqrt{0.7*0.3}

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that n = 500, X = \frac{375}{500} = 0.75

Value of the z-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}

z = 2.44

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0
3 years ago
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