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KatRina [158]
4 years ago
12

Jenny is comparing the cost of two packages of socks.One package has 8 pairs of socks for $12.Another package has 3 pairs of soc

ks for $6.Are the rates equivalent
Mathematics
1 answer:
EleoNora [17]4 years ago
6 0

Answer:

  no

Step-by-step explanation:

The second package costs $2 for each pair of socks. If the first package cost that much, it would be 8×$2 = $16 for 8 pairs of socks. That is not the same as $12 for 8 pairs.

__

Another way to look at it is the first package costs twice as much as the second, but has more than twice as many pairs of socks. That means the rates are not equivalent.

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Helpp!! Thank you! Take care!!
alina1380 [7]

Answer:

B or $12.50

Step-by-step explanation:

To get the answer, you have to solve x from the equation 4.5x = 56.25

To solve, you have to divide 4.5 from each side, making the equation look like,

x = 12.5

Hope this helps!!

Plz let me know if I'm wrong...

7 0
3 years ago
Read 2 more answers
5750 divided by 3.78
Tems11 [23]

Answer:

1521.16402

Step-by-step explanation:

use fraction- division format\frac{x}{y}

\frac{5750}{3.78}

Multiply the numerator and denominator by 100

\frac{575000}{378}

Reduce by 2

\frac{287500}{189}

Now do long division

          1521. 164022

189|287500

   -  189

        985

     -  945

           400

         - 378

              220

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                  1210

                - 1134

                     760

                   - 756

                          40

                         -  0

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5 0
2 years ago
Read 2 more answers
2. Solve for x: 2(x - 5) = x + 3(x + 2)​
MrMuchimi

Answer:

x=-8

Step-by-step explanation:

5 0
2 years ago
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Solve for x Show your work
telo118 [61]

Answer:

x = 12

Step-by-step explanation:

To solve this and show your work, you have to start of with the equation (3x - 6) = 30.

You then have to add 6 to both sides like this:

(3x - 6) = 30 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \: + 6  \:  \:  \:   \:  \:   + 6

So then the 6 is cancelled out, and you are left with

3x = 36.

Now you just have to divide both sides by 3 like this:

\frac{3x}{3}  =  \frac{36}{3}

Which cancels 3 out, and you are left with

x = 12.

4 0
3 years ago
he one‑sample t statistic from a sample of n = 23 observations for the two‑sided test of H 0 : μ = 15 versus H α : μ > 15 has
DedPeter [7]

Answer:

t = 2.24

The first step is calculate the degrees of freedom, on this case:  

df=n-1=23-1=22  

Since is a one side right tailed test the p value would be:  

p_v =P(t_{(22)}>2.24)=0.01776  

And for this case we can conclude that:

0.01 < p_v < 0.025

And we will reject the null hypothesis at \alpha=0.025 since p_v < \alpha

Step-by-step explanation:

Data given and notation  

\bar X represent the mean height for the sample  

s represent the sample standard deviation

n=23 sample size  

\mu_o =15 represent the value that we want to test

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 15, the system of hypothesis would be:  

Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

For this case the statistic is given:

t = 2.24

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=23-1=22  

Since is a one side right tailed test the p value would be:  

p_v =P(t_{(22)}>2.24)=0.01776  

And for this case we can conclude that:

0.01 < p_v < 0.025

And we will reject the null hypothesis at \alpha=0.025 since p_v < \alpha

5 0
3 years ago
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