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TiliK225 [7]
3 years ago
9

A pack of cinnamon-scented pencils sells for $4.00. What is the sales tax rate if the total cost of the total cost of the pencil

s is $4.32?
Mathematics
2 answers:
jarptica [38.1K]3 years ago
7 0

Answer:

6%

Step-by-step explanation:

den301095 [7]3 years ago
4 0

Answer:

6%

Step-by-step explanation:

You might be interested in
Determine whether the pair of triangles below are similar. If they are similar, write the similarity criterion that can be used
Ugo [173]

Answer:

Cannot be determined

Step-by-step explanation:

The information given for the triangles are not enough to evaluate them for similarity. How ever they are both equilateral triangles given the angle measures.

8 0
3 years ago
What is the first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22?
bagirrra123 [75]

Answer: -2

Step-by-step explanation:

The information in the question can be used to form an equation which goes thus:

2nd term = a + d = 4 ...... i

5th term = a + 4d = 22 ....... ii

From equation i

a = 4 - d ........ iii

Put equation iii into ii

a + 4d = 22

(4 - d) + 4d = 22

4 - d + 4d = 22

4 + 3d = 22

3d = 22 - 4

3d = 18

d = 18/3

d = 6

Commons difference is 6

Since a + d = 4

a + 6 = 4

a = 4 - 6

a = -2

The first term is -2

3 0
3 years ago
The manufacturer of an airport baggage scanning machine claims it can handle an average of 530 bags per hour. (a-1) At α = .05 i
fenix001 [56]

Answer:

Null hypothesis:\mu \geq 250        

Alternative hypothesis:\mu < 250  

p_v =P(t_{15}    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

Step-by-step explanation:

1) Data given and notation        

\bar X=510 represent the mean for the sample    

s=50 represent the standard deviation for the sample  

n=16 sample size        

\mu_o =530 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.      

t would represent the statistic (variable of interest)        

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

2) State the null and alternative hypotheses.        

We need to conduct a hypothesis in order to determine if the claim thet the handle on average is 530 bags per hour:      

Null hypothesis:\mu \geq 530        

Alternative hypothesis:\mu < 530        

We don't know the population deviation and the sample size is lees than 30, so for this case 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{\sigma}{\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".    

3) Calculate the statistic        

We can replace in formula (1) the info given like this:        

t=\frac{510-530}{\frac{50}{\sqrt{16}}}=-1.60        

4) Calculate the critical value

We need to begin calculating the degrees of freedom

df=n-1=16-1=15

The critical value for this case would be :

P(t_{15}

The value of a that satisfy this on the normal standard distribution is a=-1.75 and would be the critical value on this case zc=-1.75

5) Calculate the P-value        

Since is a one-side upper test the p value would be:        

p_v =P(t_{15}    

6) Conclusion        

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

8 0
3 years ago
Simplify completely 10x6y3+20x3y2/5x3y​
Kryger [21]

Answer:

\large\boxed{\dfrac{10x^6y^3+20x^3y^2}{5x^3y}=2x^3y^2+4y}

Step-by-step explanation:

\dfrac{10x^6y^3+20x^3y^2}{5x^3y}=\dfrac{(5x^3y)(2x^3y^2)+(5x^3y)(4y)}{5x^3y}\\\\=\dfrac{5x^3y(2x^3y^2+4y)}{5x^3y}\qquad\text{cancel}\ 5x^3y\\\\=2x^3y^2+4y

8 0
3 years ago
50 POINTS!!!!!!!
nevsk [136]

Answer: Option C)1 over 15 minus 1 over x equals 1 over 20

Explanation:

Since, Micah can fill a box with books in 15 minutes.

Therefore, the work done by Micah in one minute= 1/15

Also, Sydney takes the books out puts them on a shelf.

And the times taken by Micah when Sydney is also taking the books outside from the self= 20 minutes

Therefore, the work done by Micah in one minute when Sydney  taking books out of the box= 1/20

Let Sydney alone takes x minutes to take books outsides the shelf.

Then, work done by Sydney in one minute=1/x

Thus, the work done by Sydney( by taking books out of the box)=  the work done by Micah - work done by Micah and Sydney simultaneously= 1/15-1/20

⇒1/x=1/15-1/20

⇒1/15-1/20=1/x

⇒1/15-1/x=1/20 is the required expression.

Therefore, Option C is correct.



4 0
3 years ago
Read 2 more answers
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