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IrinaVladis [17]
3 years ago
15

Given the following sets.

Mathematics
1 answer:
asambeis [7]3 years ago
5 0
That's the uniion of sets  B and C
that means inclde all the values of both sets (not meaning the ones common to both sets)


so that would include a,b,c,d, 0,a,2,b
a and b repeat so list them only once


that would be {a,b,c,d,0,2}
answer is 4th option
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Lorinda can walk 1.8 miles in 30 minutes. Which proportion can be used to find how many miles she can walk in 45 minutes?
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Maybe this is the answer 1.8/30 = x/45
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65% convert to a fraction
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Answer:

\frac{13}{20}

Step-by-step explanation:

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City
xxMikexx [17]

Answer:

The correct option is (B) 69.7%.

Step-by-step explanation:

The table provided represents the probabilities of a positive response to two government programs from citizens in eight cities.

The probabilities mentioned in the table are conditional probabilities, i.e. the probability of a positive response for program 1, given that the individual is from city <em>x</em>.

The probability a positive response for program 1 from an individual from Houston is 69.7%.

Then the conditional probability of a positive response for program 1, given that the individual is from Houston is 69.7%.

Thus, the correct option is (B).

7 0
3 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
4 years ago
AABC ~ADEF<br> F<br> 21<br> D<br> B<br> N<br> 28<br> E<br> C<br> Solve for N.<br> 28 = ☆<br> N=[?]
sergij07 [2.7K]

Answer:

N = 3

Step-by-step explanation:

\frac{28}{4}  =  \frac{21}{N}  \\  \\ 28N = 21 \times 4 \\ 28N = 84 \\  \\ N =  \frac{84}{28}  \\  \\ N = 3

I hope I helped you^_^

8 0
3 years ago
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