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antoniya
2 months ago
7

Working alone, Jack can do a puzzle in 5 hours. With his brother's help, the two can do the same puzzle in 2 hours. How long wou

ld it take Jack's brother to do the puzzle alone?
Mathematics
1 answer:
zzz [12.3K]2 months ago
7 0

Answer:

3 hours and 20 minutes.

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About ten percent of users do not close Windows properly. Suppose that Windows is installed in a public library that is used by
lawyer [12517]

Answer:

Refer to the explanation

Step-by-step explanation:

As approximately 10% of users fail to close Windows properly, we determine:

  • The likelihood that a user neglects to shut down Windows correctly is p=0.1;
  • The likelihood that a user shuts the Windows properly is q=1-p=1-0.1=0.9.

A. On average,

  • one in ten users does not close Windows correctly;
  • 10 out of 100 users fail to close Windows correctly.

B. The likelihood that precisely 8 out of the next 10 users will close Windows correctly is

C^{10}_8\cdot q^{8}p^{10-8}=\dfrac{10!}{8!(10-8)!}\cdot (0.9)^8\cdot (0.1)^2=45\cdot (0.9)^8\cdot (0.1)^2\approx 0.1937

6 0
3 months ago
If 65% of a number is 1,105, what is 82% of the number?
Inessa [12570]
To find the original number where 65% equals 1105:
0.65x = 1105
x = 1105 ÷ 0.65
x = 1700... hence, the original number is 1700.

Calculating 82% of 1700:
0.82 * 1700 = 1394 <== this is your answer.
6 0
2 months ago
Read 2 more answers
The given equation has been solved in the table. In which step was the subtraction property of equality applied?
tester [12383]
The correct answer is Option (D). The subtraction property of equality asserts that whatever is subtracted from one side of an equation must also be subtracted from the other side. In the instance where x + 2 = 2, applying this property leads to: x + 2 - 2 = 2 - 2, simplifying to x = 0. However, the provided question displays the addition property of equality utilized in step 2, indicating that the subtraction property was not applied there. Consequently, Option (D) is the correct response.
5 0
1 month ago
Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h
Svet_ta [12734]
To find the maximum number of identical packs we see we have 72 pencils and 24 calculators.

This involves discovering the largest number that divides both 72 and 24 evenly,
which is known as the GCM or greatest common multiplier.

To determine the GCM, factor 72 into primes and group them:
72=2 times 2 times 2 times 3 times 3
24=2 times 2 times 2 times 3
Thus, the common grouping is 2 times 2 times 2 times 3, equating to 24.
Therefore, the maximum number of packs is 24.

For pencils:
72 divided by 24=3
Resulting in 3 pencils per pack.

For calculators:
24 divided by 24=1
So, 1 calculator per pack.

The outcome is 3 pencils and 1 calculator in each pack.
6 0
2 months ago
Read 2 more answers
An experiment was done to look at whether there is an effect of the number of hours spent practising a musical instrument and ge
Svet_ta [12734]

Answer: Repeated contrast

Step-by-step explanation:

The conducted two-way ANOVA involved 30 participants, split evenly between 15 males and 15 females, all of whom had no prior experience with musical instruments.

This ANOVA analysis included repeated measures and considered within-group effects, between-group effects, and interaction effects. The findings indicated a significant main effect based on gender and the hours practiced. Therefore, the repeated contrast approach will be employed to assess the gender influence. This method evaluates the mean of each level in relation to the next, excluding the final level.

8 0
2 months ago
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