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erastova [34]
3 years ago
5

5. a) Which figure is the mapping diagram of the relation

Mathematics
2 answers:
Viefleur [7K]3 years ago
7 0

Answer:

b, since the others have the input and output on the wrong sides

lara31 [8.8K]3 years ago
4 0
The answer will be B :)
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Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.â  Suppose a small group of 11 Allen's humming
alexira [117]

Answer:

3.15-1.28\frac{0.38}{\sqrt{11}}=3.003    

3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297    

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147    

Step-by-step explanation:

Previous concepts

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".

\bar X=3.15 represent the sample mean

\mu population mean (variable of interest)

\sigma=0.38 represent the population standard deviation

n=11 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.80 or 80%, the value of \alpha=0.2 and \alpha/2 =0.1, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NOR.INV(0.1,0,1)".And we see that z_{\alpha/2}=1.28

Now we have everything in order to replace into formula (1):

3.15-1.28\frac{0.38}{\sqrt{11}}=3.003    

3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297    

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147    

8 0
3 years ago
What is 52% of 25 if you answer your the first to answer you get 25 points
adoni [48]

Answer:

13

Step-by-step explanation:

convert 52% into a decimal which is 0.52 then mulitply by 25 to get your answer

5 0
3 years ago
Read 2 more answers
The equation $a^7xy-a^6y-a^5x=a^4(b^4-1)$ is equivalent to the equation $(a^mx-a^n)(a^py-a^2)=a^4b^4$ for some integers $m$, $n$
Ksivusya [100]
Let <span>simplify the equations a^7xy-a^6y-a^5x=a^4(b^4-1) and (a^mx-a^n)(a^py-a^2)=a^4b^4:
</span>
<span>1) a^7xy-a^6y-a^5x+a^4=a^4b^4
</span>
<span>and
</span>
<span>2) a^{m+p}xy-a^{n+p}y-a^{m+2}x+a^{n+2}=a^4b^4.
</span>
<span>Equate the coefficients:
</span><span>
</span><span>xy: m+p=7  \\ y: n+p=6 \\ x:  m+2=5 \\ 1: n+2=4.</span>
Then n=2 \\ p=4 \\ m=3 and mnp=24.
<span />
3 0
3 years ago
A store sells a certain tile for $2 per tile and a pint of paint for $3. A second store sells the same items for $1 per tile and
Paladinen [302]
2t + 3p = 26
t + 4p = 18
8 0
3 years ago
Read 2 more answers
What is the equation of the line in slope intercept form?
Sladkaya [172]

Answer:

y=3/5x+3

Step-by-step explanation:

The y-intercept which is the (+3) is taken from where the line crosses the y-axis.

The slop is found from rise over run, in this case, -5 to 0 is positive 5 this would go in the denominator, because we go from solid ground 0 to 3 without crossing another solid point, the numerator is 3.  

7 0
3 years ago
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