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luda_lava [24]
3 years ago
14

Find the least positive integer that can be added to the product of any 4 consecutive integers such that the result is always th

e square of an integer.
Mathematics
1 answer:
amid [387]3 years ago
8 0
1*2*3*4+1=25=5^2    2*3*4*5+1=121=1^2    3*4*5*6+1=361=19^2
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Use technology or a z-score table to answer the question.
Hoochie [10]

Answer: The percentage of hotels in the city have a nightly cost of more than $200 is 21%

Step-by-step explanation:

Since the nightly cost of hotels in a certain city is normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the nightly cost of hotels.

µ = mean cost

σ = standard deviation

From the information given,

µ = $180.45

σ = $24.02

The probability that a hotel in the city has a nightly cost of more than $200 is expressed as

P(x > 200) = 1 - P(x ≤ 200)

For x = 200,

z = (200 - 180.45)/24.02 = 0.81

Looking at the normal distribution table, the probability corresponding to the z score is 0.79

Therefore,

P(x > 200) = 1 - 0.79 = 0.21

The percentage of hotels in the city have a nightly cost of more than $200 is

0.21 × 100 = 21%

6 0
3 years ago
Choose all of the values that are less than the mean of the data set shown. 4, 6, 7, 9, 10, 4, 6, 5, 4
Veronika [31]

Answer:

Step-by-step explanation:

4, 6, 7, 9, 10, 4, 6, 5, 4

First we will order them least to greatest.

4,4,4,5,6,6,7,9,10

Now we will add them all up.

We get 55.

Now we will divide 55 by the amount of numbers there are (9).

55/9= 6.11111

SO 4.9 and 6 are both less than the mean of the data set.

3 0
3 years ago
What is the decimal form of 100/3, 100/5, and100 /6?
Alika [10]

Answer:

100/3=33.3333

100/5=20.0

100/6=16.6666666667

5 0
2 years ago
Read 2 more answers
If x = 13 units and h = 11 units, then what is the area of the rhombus pictured above?
erik [133]

Answer:

M5|L12  Fractional Sides

Step-by-step explanation: answer is in the link. copy and paste it. Trust me!

6 0
3 years ago
It has a diameter of 2 inches what is the radius
ValentinkaMS [17]
Radius is the half of diameter.
That means the radius is 2inch/2=1inch.

Good luck mate!
7 0
2 years ago
Read 2 more answers
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