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attashe74 [19]
3 years ago
15

A home business has an average income of $900.00 per month with a standard deviation of $15.00. If the income in a given month i

s $930.00, what z-score corresponds to this value?
Mathematics
1 answer:
Llana [10]3 years ago
3 0
Answer = 2.00

Z score is a statistical that corresponds to the standardization of the regular score to a normal distribution

The formula for Z score is Z = [X - mean ]./ (standard deviation)

Here X = 930.00; mean = 900.00; and standard deviation = 15.00

Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00

Therefore, your answer is 2.00

Hope I helped :)
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The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube? 6 cubic feet 18 cubic
fomenos

The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

<h3>What is a cube?</h3>
  • A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
  • The cube is one of the five Platonic solids and the only regular hexahedron.
  • It has six faces, twelve edges, and eight vertices.

To find the volume of the cube that perfectly fits an 18 ft³ pyramid:

We have been provided that:

  • 18 cubic feet is the volume of the pyramid.
  • Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
  • We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
  • So, the volume of the cube = 3 × 18
  • The volume of Cube = 54 ft³

Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

Know more about a cube here:

brainly.com/question/1972490

#SPJ4

The correct question is given below:

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?

(A) 6 cubic feet

(B) 18 cubic feet

(C) 54 cubic feet

(D) 72 cubic feet

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1 year ago
Which expression is equivalent to -28xy + 35y?
Ilia_Sergeevich [38]

Answer:

D.7y(-4x + 5)

Step-by-step explanation:

6 0
3 years ago
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The longest side of the triangle section is 4 feet shorter than twice the shortest side. The third side is 3 feet longer than th
Katarina [22]
<h3>Answers:</h3><h3>The shortest side is 15 ft</h3><h3>The middle side is 18 ft</h3><h3>The longest side is 26 ft</h3>

===========================================

Define the three sides to be a,b,c such that a < b < c

So c is the longest side, and 'a' is the shortest with b in the middle.

"longest side is 4 ft shorter than twice the shortest side" means that c = 2a-4

"third side is 3 ft longer than the shortest side" so b = a+3

Both b and c are in terms of 'a', allowing us to do substitutions like so

a+b+c = perimeter

a+b+c = 59

a+(a+3)+c = 59 .... first substitution, plug in b = a+3

a+(a+3)+(2a-4) = 59 ... second substitution, plug in c = 2a-4

4a-1 = 59 .... combine like terms

4a = 59+1 ... add 1 to both sides

4a = 60

a = 60/4 ... divide both sides by 4

a = 15

The shortest side is 15 ft

b = a+3 = 15+3 = 18

The middle side is 18 ft

c = 2a-4 = 2*15-4 = 26

The longest side is 26 ft

---------------------

Check:

The three sides should add up to a perimeter of 59 ft

a+b+c = 15+18+26 = 59

so the answer is confirmed

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Write an explicit rule for the geometric sequence (answers down below) :
den301095 [7]

Answer:

Correct answer is third from the top an = 27 · (1/3)∧(n-1)

Step-by-step explanation:

Given geometric sequence :  27, 9, 3, 1,....

First term a1= 27, second term a2= 9, third term a3= 3 etc...

Standard form of the n-th term is

an = a1 · q∧(n-1)

We will find quotient when we divide second term with first and third with second

q = a2/a1 = a3/a2 = 9/27 = 3/9 = 1/3

Formula fot n-th term is

an = 27 · (1/3)∧(n-1)

God with you!!!

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3 years ago
Lisa used the rule "Red, Yellow, Yellow, Yellow" to make a bracelet with a repeating pattern. She
konstantin123 [22]

Answer:

28 beads were used to make the bracelet. 7 beads were not yellow.

Step-by-step explanation:

3/4 beads used to make the bracelet are yellow

If 21 beads are 3/4 of the bracelet and yellow

1/3 of the 21 beads would be 1/4 of the bracelet

7 beads are 1/3 of 21 beads

7 × 4 = 28 beads

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