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ddd [48]
3 years ago
5

How did you write 917.27 in words​

Mathematics
1 answer:
Julli [10]3 years ago
3 0
Nine hundred and seventeen point twenty seven
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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
I need help on this. Plz help me
Brut [27]
Just take the answer of the subtraction problem and add it to the other number for an answer Example h-7=14 14 + 7=21 h=7
3 0
3 years ago
Help me pls..........​
Paraphin [41]

Answer:

1000x or 1000 thousand times greater

Step-by-step explanation:

every decimal to the left is 10x greater than the one right of it.

4 0
2 years ago
Why is 3 + (−5) equal to −2?
DedPeter [7]
It is not equal to -2 because the five is a negative so when adding two different integers are subtracted and with a negative sign.
5 0
3 years ago
Read 2 more answers
One period of y = 4sin(x) is graphed below.What is the domain of y = 4sin(x)?
Alinara [238K]
The domain of this sine function is the entire set of real numbers. Since there is no real value of x for which sin(x) becomes undefined, then the entire set of reals is the domain.

(On the other hand, the range would be from -4 <= y <= 4, since the sine function can only have a value ranging from -1 to 1, and multiplying 4 expands that from -4 to 4.)
5 0
3 years ago
Read 2 more answers
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