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Masja [62]
3 years ago
8

What is the meaning of a negative rational number?

Mathematics
1 answer:
Alja [10]3 years ago
6 0

A rational number, by definition, is a number formed as the ratio of two integers. For example: 3/4 is a rational number. So is 1/51.

A negative rational number is precisely the same, except that we preface it with the negative sign. For example: -3/4, -1/51

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Rosa is putting cube-shaped tissue boxes into a shipping crate. each tissue box has a side length of 4 inches. The volume of V o
Elena L [17]

Answer:

V = 64 and V = 2,048

Step-by-step explanation:

The volume of a cube is found using V = s*s*s. Substitute s = 4.

The volume is V = 4*4*4 = 64.

The volume of the crate is 32 * 64 = 2,048.

3 0
3 years ago
in order to fence a garden the rowan family needs 64 ft of lumber. the garden at the correas house will need to be 150% larger.h
almond37 [142]

Answer:

96

Step-by-step explanation:

Divide 64 by 2

add 32+ 64

x=96

8 0
3 years ago
The following proof shows an equivalent system of equations created from another system of equations. Fill in the missing reason
lianna [129]
Multiplication property of equality
8 0
2 years ago
A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken
mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

X=1 number of citrus trees that are infected with the citrus red mite.

n=5 random sample taken

\hat p=\frac{1}{5}=0.2 estimated proportion of citrus trees that are infected with the citrus red mite.

p true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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 population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical values we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values would be given by:

t_{\alpha/2}=-1.96, t_{1-\alpha/2}=1.96

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)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

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

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

n=\frac{0.2(1-0.2)}{(\frac{0.01}{1.96})^2}=6146.56  

And rounded up we have that n=6147

5 0
3 years ago
The U.S. Department of Housing and Urban Development​ (HUD) uses the median to report the average price of a home in the United
MatroZZZ [7]

Answer:

Step-by-step explanation:

given that the U.S. Department of Housing and Urban Development​ (HUD) uses the median to report the average price of a home in the United States.

We know that mean, median and mode are measures of central tendency.

Mean is the average of all the prices while median is the middle entry when arranged in ascending order.

Mean has the disadvantage of showing undue figure if extreme entries are there. i.e. outlier affect mean.

Suppose a price goes extremely high, then mean will fluctuate more than median.

So median using gives a reliable estimate since median gives the middle price and equally spread to other sides.

3 0
3 years ago
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