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lisabon 2012 [21]
3 years ago
7

Han wears a hat to school every 4th day and a jacket every 6th day. What will be the first day that Han wears a hat and a jacket

on the same day?
Mathematics
2 answers:
Kaylis [27]3 years ago
7 0

Answer:

He will wear a hat and jacket on the 12th day

Step-by-step explanation:

spin [16.1K]3 years ago
7 0

Answer:

The 24th day

Step-by-step explanation:

6 and 4 are multiples of each other. We would need to find the day that they both have the same number like below.

4 , 8 , 12 , 16 , 20 , 24

6 , 12 , 18 , 24

Han would wear a hat and jacket to school on the 24th day.

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A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race durin
Andrej [43]

Answer:

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Step-by-step explanation:

We are given;

Number of males selected; n₁ = 150

Number of females selected; n₂ = 190

Proportion of the males; p₁ = 0.6

Proportion of females; p₂ = 0.5

Let's define the hypotheses;

Null hypothesis; H0: p₁ ≥ p₂

Alternative hypothesis; Ha: p₁ < p₂

Now, the z score formula for this is;

z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))

Where;

p^ = (p₁ + p₂)/2

p^ = (0.6 + 0.5)/2

p^ = 0.55

Thus;

z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))

z = 0.1/0.0543

z = 1.84

From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;

P-value = 0.033

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.

3 0
3 years ago
Which of the following is not a condition that must be met before you can use the quadratic formula to find the solutions of an
77julia77 [94]
The second choice is the correct one
7 0
3 years ago
O between DG. If DO=4x+1,GO=7 and DG=20, find x.
tiny-mole [99]

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The whole is equal to the sum of the parts.

  DG = DO +GO

  20 = (4x +1) + 7

  12 = 4x . . . . . . . . . . subtract 8

  3 = x . . . . . . . . . . . divide by 4

3 0
2 years ago
8x −13y = 16<br> I need help
bezimeni [28]
If you’re solving for Y it will be
Y=-16/13+8x/13
If you’re solving for X it will be
X=2+13y/8
4 0
3 years ago
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A total of 6 family members will appear in a portrait. If 4 of the family members may sit in the front row, how many combination
garik1379 [7]
The order of the persons seated in front is not important so long as there are four of them. The combination of the given problem is expressed as,
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The numerical value of the combination is 15. Thus, the answer to this item is letter D. 
7 0
3 years ago
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