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sashaice [31]
1 year ago
10

Last year Ron bought 40 pen sets and sold 25. This year he bought 75 pen sets and sold 60. The absolute error each year was the

same. Are the percent errors also the same? Explain using the solutions.
Mathematics
2 answers:
vagabundo [1.1K]1 year ago
5 0

Answer:200

Step-by-step explanation:

Lesechka [4]1 year ago
4 0

Answer:

  • No, different

Step-by-step explanation:

<h3>Last year</h3>

Bought 40 sets

Sold 25 sets

  • Error = 25 - 40 = -15
  • Absolute error = | - 15| = 15
  • Percent error =  15/40*100% = 37.5%
<h3>This year</h3>

Bought 75 sets

Sold 60 sets

  • Error = 60 - 75 = -15
  • Absolute error = |-15| = 15
  • Percent error = 15/75*100% = 20%

We can see absolute errors are same but percent errors are different.

The reason is the referenced numbers are different.

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The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out t
Naily [24]

Answer:

Option C - Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in

Step-by-step explanation:

We are given;

n = 15

t-value = 1.66

Significance level;α = 0.05

So, DF = n - 1 = 15 - 1 = 14

From the one-sample t - table attached, we can see that the p - value of 0.06 at a t-value of 1.66 and a DF of 14

Now, since the P-value is 0.06,it is greater than the significance level of 0.05. Thus we do not reject the null hypothesis. We conclude that there is not sufficient evidence that the true diameter differs from 0.5 in.

8 0
1 year ago
Using the extended Euclidean algorithm, find the multiplicative inverse of a. 135 mod 61 b. 7465 mod 2464 c. 42828 mod 6407
rodikova [14]

Answer:

(a)1≡47 mod 61

(b)1≡2329 mod 2464

(c)Does not exist

Step-by-step explanation:

The operation a(mod b) has an inverse if the the two integers (a,b)

are co-prime. i.e. their g.c.d is 1.

(a)Given 135 mod 61

We first reduce it to its lowest form.

135 mod 61=13 mod 61

61=13(4)+9 ==> 9=61-13(4)

13=9(1)+4 ==> 4=13-9(1)

9=4(2)+1 ==> 1=9-4(2)

4=1(4)

Next we rewrite 1 as a linear combination of 13 and 61.

1=9-4(2)

=9-(13-9(1))2

=9(3)-13(2)

=(61-13(4))(3)-13(2)

=61(3)-13(12)-13(2)

1=61(3)-13(14)

1=61(3)+13(-14)

1≡-14 mod 61≡(-14+61)mod 61

1≡47 mod 61

(b)7465 mod 2464

Reducing it to its lowest form

7465 mod 2464=73 mod 2464

2464=73(33)+55 ==>55=2464-73(33)

73= 55(1)+18 ==> 18=73-55(1)

55=18(3)+1 ==>1=55-18(3)

18=1(18)

Rewriting 1 as a linear combination of 73 and 2464.

1=55-18(3)

=2464-73(33)-(73-55(1))(3)

=2464-73(33)-73(3)+55(3)

=2464-73(36)+55(3)

=2464-73(36)+(2464-73(33))(3)

=2464-73(36)+2464(3)-73(99)

=2464(4)-73(135)

1=2464(4)+73(-135)

Therefore:

1≡-135 mod 2464

1≡(-135+2464)mod 2464

1≡2329 mod 2464

(c)42828 mod 6407

The two numbers are not co-prime. In fact their g.c.d is 43.

Therefore their inverse does not exist.

4 0
2 years ago
Read 2 more answers
What is the 185th digit in the following pattern 12345678910111213141516...?
Natalka [10]
1-9  = 9 digits
10-99 = 180 digits
So if we continue the pattern to 99, there are 189 digits, and the last 5 digits would be 79899.  Counting backwards: 189th = 9, 188th = 9, 187th = 8, 186th = 9, 185th = 7.

The 185th digit is 7.

4 0
2 years ago
A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container
Damm [24]
It is A. Just took the test.
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2 years ago
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The Roberts family is shopping for a new car. They are considering a minivan or an SUV. Those vehicles come in red, gold, green,
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The Roberts family is shopping for a new car. They are considering a minivan or an SUV. Those vehicles come in red, gold, green, silver, or blue. Each vehicle has three models; standard (S), sport (P), or luxury (L). Use the tree diagram to answer the question.

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2 years ago
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