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anyanavicka [17]
3 years ago
10

Aiden bought some noteboks and book covers for the upcoming school year.He bought a total of 13 items.Each notebook costs $1.37,

and each book cover costs $1.08. He spent total of $16.36..How many notebooks and how many book covers did he buy?
Mathematics
1 answer:
NARA [144]3 years ago
7 0
Answer: Aiden bought 8 notebooks and 5 covers.

This is a system of equations problem. To solve this, we have to write 2 different equations and then solve them.

Our equations are:

x + y = 13
1.37x + 1.08y = 16.36

Where x is the number of notebooks and y is the number of covers.

To solve these equations, you can use anyone of these methods:
1) Graphing
2) Substitution
3) Elimination

The easiest way would be to graph them with a graphing calculator and find the point of intersection.
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Answer:B. C. D.

Step-by-step explanation:

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IR = V (solve for R) *
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Answer:

R = \frac{V}{I}

Step-by-step explanation:

IR = V ( isolate R by dividing both sides by I )

R = \frac{V}{I}

6 0
2 years ago
Use the given information to find the p-value. also use a0.05 significance level and state the conclusion about the null hypothe
omeli [17]

Answer:

(a) C: 0.0465 ; reject the null hypothesis

(b) B: 0.3409 ; fail to reject the null hypothesis

Step-by-step explanation:

Firstly, the decision rule based on P-value to reject the null hypothesis or fail to reject the null hypothesis is given by;

  • If the P-value of test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.
  • If the P-value of test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis due to which we fail to reject our null hypothesis.

(a) Now, we are given alternate hypothesis, H_1 : p < 3/5

Also, z test statistics is -1.68. Since this is a left tailed test, so P-value is given by;

             P-value = P(Z < -1.68) = 1 - P(Z \leq 1.68)

                           = 1 - 0.95352 = <u>0.0465</u>

Since, the P-value of test statistics is less than the level of significance as 0.0465 < 0.05, so we have sufficient evidence to reject our null hypothesis due to which <u>we reject the null hypothesis.</u>

(b) Now, we are given alternate hypothesis, H_1 : p > 0.383

Also, z test statistics is 0.41. Since this is a right tailed test, so P-value is given by;

             P-value = P(Z > 0.41) = 1 - P(Z \leq 0.41)

                           = 1 - 0.6591 = <u>0.3409</u>

Since, the P-value of test statistics is more than the level of significance as 0.3409 > 0.05, so we have insufficient evidence to reject our null hypothesis due to which <u>we fail to reject the null hypothesis.</u>

5 0
3 years ago
Simplify (2m^6)^3.
labwork [276]

Answer:

B. 8m ^ 18

Step-by-step explanation:

(2m ^6)^3 is the same as ;

(2 ^1 × m ^ 6) ^ 3.....multiply the powers 1 and 6 by 3

2 ^ (1×3) × m ^ (6×3).....this equals;

2 ^ 3 × m ^ 18

8m^18

hope this helps :)

8 0
3 years ago
Read 2 more answers
kwasi thought of a number, multiplied it by7/2 and added 16 to the results.if the final answer was 30.what number did he think o
ziro4ka [17]

Answer:

4

Step-by-step explanation:

  1. represent the number he thought of with x

\frac{7}{2} x + 16 = 30

  1. multiply through with the LCM which is 2
  2. 2 \times  \frac{7}{2}x + 16 \times 2 = 30 \times 2
  3. 7x + 32 = 60
  4. 7x = 60 - 32
  5. 7x = 28
  6. \frac{7x}{7}  =  \frac{28}{7}
  7. x = 4
7 0
3 years ago
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