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svp [43]
3 years ago
5

What is the mode and range of 45 50 47 52 53 45 51

Mathematics
2 answers:
kolbaska11 [484]3 years ago
5 0
Mode is 45 not 51. A mode is the number that appears most often in a set of numbers and 45 appears twice
marysya [2.9K]3 years ago
3 0
Mode : 50.1 and range is 8
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A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
sergey [27]

Answer:

The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

Step-by-step explanation:

Given

Rectangle Pyramid

Base Length = 3x + 1

Base Width = x

Height = 12

Volume = 96

Required

Dimension of the base of the pyramid

Given that the volume of the pyramid is ⅓ of the base area * the height.

This is represented mathematical as

Volume = ⅓ * base area * height.

Where

Base area = width * length

Base area = (3x + 1) * x

Base area = 3x² + x.

So,

Volume becomes

Volume = ⅓ * (3x² + x) * 12.

Volume = (3x² + x) * 4

Substitute 96 for volume

96 = (3x² + x) * 4

Divide both sides by 4

96/4 = (3x² + x) * 4/4

24 = 3x² + x

Subtract 24 fr both sides

24 - 24 = 3x² + x - 24

0 = 3x² + x - 24

3x² + x - 24 = 0

Expand

3x² + 9x - 8x - 24 = 0

Factorize

3x(x + 3) - 8(x + 3) = 0

(3x - 8)(x + 3) = 0

3x - 8 = 0 or x + 3 = 0

3x = 8 or x = -3

x = 8/3 or x = -3

Recall that

Length = 3x + 1

Width = x

For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.

Substitute x = 8/3

Length = 3x + 1

Length = 3(8/3) + 1

Length = 8 + 1

Length = 9

Width = x

Width = 8/3

Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

7 0
3 years ago
Noah drew 12 hearts and 24 circles. What is yhe ratio of circles to hearts?In simplified form​
Paul [167]

Answer:

2:1

Step-by-step explanation:

24 circles:12 hearts

/12.           /12

2 circles : 1 heart

3 0
3 years ago
Read 2 more answers
What is the measure of the radius of the cone in the diagram below?
Anastasy [175]

Answer:

4cm

Step-by-step explanation:

the diameter is labelled as 8cm

radius is half of the diameter

3 0
3 years ago
3 increased by a number
zimovet [89]

Answer:

4 or5or6

Step-by-step explanation:

3+1=4

3+2=5

3+3=6

6 0
1 year ago
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What is the mean of the data set rounded to the nearest tenth 0.7 1.1 0.8 1.6 1.6 2.2 1.1
Rina8888 [55]
The mean (average) can be found by adding up all ur numbers, then dividing by how many numbers there are.

(0.7+1.1+0.8+1.6+1.6+2.2+1.1) / 7 = 9.1 / 7 = 1.3 <==


6 0
3 years ago
Read 2 more answers
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