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cestrela7
6 days ago
15

Which is the missing number: 9876, 6447, 2527, x?

Mathematics
1 answer:
Leona [9.2K]6 days ago
6 0

This question reveals an intriguing pattern.

The rule or pattern to follow here is:

For the left side of the number compared to its predecessor: (First digit x Third digit + 1)

For the right side: (Second digit x Fourth digit -1)

For instance, consider 6447. Next, let's examine its previous number, 9876.

Now, 9\times 7+1=64 and

8\times 6-1=47

that's how we arrived at 6447

Next, for the third number, 2527, let's look at its previous number, 6447

Now, 6\times 4+1=25

and 4\times 7-1=27

that's how we reached 2527

Following the same reasoning, the missing number should be 534.

This conclusion came from applying the rule of the pattern as:

(2\times 2)+1=5

and

(5\times 7)-1=34

Thus, we derived 534.



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The length, breadth ND height of box are 32 cm 16cm, 8cm.wht is the maxim length of the string that can be used to measure the s
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Answer:

8 cm

Step-by-step explanation:

The maximum potential length of the string corresponds to the greatest common divisor of 32, 16, and 8.

32 = 2 * 2 * 2 * 2 * 2

16 = 2 * 2 * 2 * 2

8 = 2 * 2 * 2

The GCD = 2 * 2 * 2 = 8

The greatest length of the string = 8 cm

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21 day ago
Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc
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Answer:

$110.

Step-by-step explanation:

Let x represent the cost of the item that Carmen bought from the department store.

Carmen possesses $30 in store bucks along with a 25% discount coupon for a local department store. Our goal is to determine the maximum cost for Carmen's purchase such that after applying her store bucks and discount, her total remains at or below $60 before sales tax.

Since the $30 in store bucks is deducted prior to applying the 25% discount, we need to find x such that x - 30 minus 25% of (x - 30) must be less than or equal to 60. This can be set up as an equation:

x-30-((x-30)\times\frac{25}{100})\leq 60

x-30-((x-30)\times 0.25)\leq 60

x-30-(0.25x-7.5)\leq 60

x-30-0.25x+7.5\leq 60

0.75x-22.5\leq 60

0.75x-22.5+22.5\leq 60+22.5

0.75x\leq 82.5

\frac{0.75x}{0.75}\leq \frac{82.5}{0.75}

x\leq 110

Thus, Carmen's purchases should total no more than $110 before sales tax.

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28 days ago
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The box plots compare the exam scores of Ms. Dobson’s class to the rest of the students who took the test in the district.
babunello [8402]

Answers:

A. Ms. Dobson’s class exhibits a narrower score range;

B. The district demonstrates a higher interquartile range; and

C. The score of fifteen is an outlier for the district.

Explanation:

The score range in Ms. Dobson's class spans from a low of 40 to a high of 95, which results in a range of 95-40 = 55.  In contrast, the district's scores range from 15 to 100, yielding a range of 100-15 = 85.  Thus, Ms. Dobson's class possesses a smaller score range.

The interquartile range (IQR) is attained by subtracting Q1, the first quartile, from Q3, the third quartile.

For Ms. Dobson's class, Q1 equals 70 and Q3 equals 80, leading to an IQR of 80-70 = 10.  In the district, Q1 is 55 and Q3 is 75, resulting in an IQR of 75-55 = 20.  Thus, the district has a more extensive interquartile range.

An outlier is defined as any score that falls below 1.5 times the interquartile range from Q1 or above 1.5 times the interquartile range from Q3.

For the district, Q1 is 55 and the IQR is 20; thus, an outlier would be below

55-1.5(20) = 55-30 = 25.  Since 15 is under 25, it qualifies as an outlier.

For the district, Q3 is 75 and the IQR is 20; thus, an outlier would be above 75+1.5(20) = 75+30 = 105; no scores within the district reach this level, and 100 does not consider an outlier for this set.

Overall, Ms. Dobson's class achieved higher scores than the district, despite a few higher scores within the district, as most of Ms. Dobson’s class scores were notably clustered higher.

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