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professor190 [17]
3 years ago
10

Drag numbers to the table so it shows a proportional relationship between x and y.

Mathematics
2 answers:
cricket20 [7]3 years ago
5 0
3.2 - 16
12.8 - 64 let me know if u need help with more problems
marshall27 [118]3 years ago
3 0

Answer:

Hence, the complete table is,

x                                 y

0.8                             4

3.2                             16

12.8                            64

Step-by-step explanation:

We are given that,

The ratio of the given y-value and x-value = \frac{4}{0.8}=5

So, the ratio of next terms must be 5.

That is, \frac{y}{3.2}=5

That is, y = 5\times 3.2

That is, y = 16

So, the next term in the table is, x = 3.2 and y = 16.

Further, as we see,

Difference of the x-values = 3.2-0.8=2.4

So, <em>the third value of x will be obtained by adding 2.4</em>

That is, 3.2+2.4=5.6

But, as 5.6\times 5 = 28, is not in the given numbers.

<em>We add 2.4 to the x-values until we get the numbers given in the options.</em>

So, we get that,

The third x-value is 12.8.

So, the corresponding y-value = 12.8\times 5=64

Hence, the complete table is,

x                                 y

0.8                             4

3.2                             16

12.8                            64

You might be interested in
Is 0.6 repeating greater than 0.25
lesya [120]

Answer:

Yes!

Step-by-step explanation:

Change the decimals into fractions

0.6 repeating would be 2/3

0.5 would be 1/2

2/3 and 1/2 is respectively 4/6 and 3/6 so 2/3 is greater.

Hope this helped!!! :D

4 0
3 years ago
A classic rock radio station claims to play an average of 50 minutes of music every hour. However, it seems that every time you
tia_tia [17]

Answer:

a) 47.917-1.796\frac{2.811}{\sqrt{12}}=46.460    

47.917+1.796\frac{2.811}{\sqrt{12}}=49.374    

b) Null hypothesis: \mu =50

Alternative hypothesis: \mu \neq 50

And after analyze the interval obtained the upper limit not contains the value of 50, so then we can conclude that the claim is not satisfied for this case, and the population mean seems to be lower than 50 at 10% of significance.

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".  

We have the following data: 44 49 45 51 49 53 49 44 47 50 46 48

And we can calculate the sample mean and deviation with the following formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

s= \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

And replacing we got:

\bar X= 47.917, s= 2.811

\mu population mean (variable of interest)  

n=12 represent the sample size  

Part a: Calculate the confidence interval

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)  

The degrees of freedom are given:

df= n-1= 12-1=11

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,11)".And we see that t_{\alpha/2}=1.796

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

47.917-1.796\frac{2.811}{\sqrt{12}}=46.460    

47.917+1.796\frac{2.811}{\sqrt{12}}=49.374    

Part b

For this case the system of hypothesis are:

Null hypothesis: \mu =50

Alternative hypothesis: \mu \neq 50

And after analyze the interval obtained the upper limit not contains the value of 50, so then we can conclude that the claim is not satisfied for this case, and the population mean seems to be lower than 50 at 10% of significance.

6 0
3 years ago
Who ever comments first gets the brillient if you dont get to answer ill make another
lilavasa [31]

Answer:

hi!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
4^12*6^15*7^21<br><br> HEELPOOOOPO
Varvara68 [4.7K]

9514 1404 393

Answer:

  4^4·6^5·7^7 = 1,639,390,814,208

Step-by-step explanation:

Taking the cube root multiplies each exponent by 1/3.

  ((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)

6 0
3 years ago
Need Help Badly<br>What is the solution
Kamila [148]
Sqrt(1-3x)=x+3
[sqrt(1-3x)]^2=(x+3)^2
1-3x=(x+3)(x+3)
1-3x=x^2+6x+9
-3x=x^2+6x+8
0=x^2+9x+8

The answers are -1 and -8 BUT, we have to plug them back into the original equation to make sure we don't get a negative under the square root sign.

After doing this, we realize that only -1 works, so the answer is x=-1

Sorry that this took forever to answer. I was thinking of a good way to explain this, and if you need any further explanation, message me:)

Best wishes:)


5 0
3 years ago
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