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natita [175]
2 years ago
7

During the Computer Daze special promotion, a customer purchasing a computer and printer is given a choice of seven free softwar

e packages. There are 10 different software packages from which to select. How many different groups of software packages can be selected?
Mathematics
1 answer:
LiRa [457]2 years ago
4 0

Answer:

120 ways

Step-by-step explanation:

To solve the question above, we use combination formula:

Where ;

nCr = n! / (n-r)! r!

10C7 = 10! / (10 - 7)! 7!

10C7 = 10! / 3! 7!

10C7 = (10 * 9 * 8) / 3 * 2 * 1

10C7 = 720 / 6

= 120 ways

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Circletown's limits form a perfectly circular shape. It has a population of
Iteru [2.4K]

Answer:

3.64 Km.

Step-by-step explanation:

Given,

Total population = 20,000 people

Population density = 480 people per square kilometer

Area of the circle town

A = \dfrac{20000}{480}

A = 41.667\ km^2

Radius of the circle town

\pi r^2 = 41.667

r = 3.64\ km

Hence, the radius of circle town is equal to 3.64 Km.

5 0
2 years ago
Read 2 more answers
In the diagram, P1P2 and Q1Q2are the perpendicular bisectors of AB¯¯¯¯¯ and BC¯¯¯¯¯, respectively. A1A2 and B1B2 are the angle b
4vir4ik [10]
We have to choose the correct answer for the center of the circumscribed circle of a triangle. The center of the circumscribed circle of a triangle is where the perpendicular bisectors of a triangle intersects. In this case P1P2 and Q1Q2 are perpendicular bisectors of sides AB and BC, respectively and they intersect at point P. S is the point where the angle bisectors intersect ( it is the center of the inscribed circle ). Answer: <span>P.</span>
7 0
2 years ago
BRAINLY ANYONE?
Oduvanchick [21]

Answer:

58, 37, 9

Step-by-step explanation:

Given:

First term a₁ = 65 and common difference d = - 7

This sequence is arithmetic series and formula for calculating n-th term is:

aₙ = a₁ + (n-1) d

Accordingly

The second term is:

a₂ = 65 + (2-1) (-7) = 65 - 7 = 58

a₂ = 58

The fifth term is:

a₅ = 65 + (5 - 1) (-7)  = 65 + 4 · (-7) = 65 - 28 = 37

a₅ = 37

The ninth term is:

a₉ = 65 + (9 - 1) (-7) = 65 + 8 · (-7) = 65 - 56 = 9

a₉ = 9

God with you!!!

4 0
2 years ago
Read 2 more answers
Consider the diagram and proof below.
QveST [7]
<span>Given the following statements and Reasons

1. WXYZ is a ▱; ZX ≅ WY 1. given
2. ZY ≅ WX 2. opp. sides of ▱ are ≅
3. YX ≅ YX 3. reflexive
4. △ZYX ≅ △WXY 4. SSS ≅ thm.
5. ∠ZYX ≅ ∠WXY 5. CPCTC
6. m∠ZYX ≅ m∠WXY 6. def. of ≅
7. m∠ZYX + m∠WXY = 180° 7. ?
8. m∠ZYX + m∠ZYX = 180° 8. substitution
9. 2(m∠ZYX) = 180° 9. simplification
10. m∠ZYX = 90° 10. div. prop. of equality
11. WXYZ is a rectangle 11. rectangle ∠ thm.

The missing reason in step 7 is "</span><span>consecutive ∠s in a ▱ are supplementary"</span>
8 0
2 years ago
Read 2 more answers
The probability that Alma makes a three-point shot in basketball is 20 % 20%20, percent. For practice, Alma will regularly shoot
Rainbow [258]

Complete Question: Check the file attached to this document to see the complete question

Answer:

P(X < 7) = 0.76

Step-by-step explanation:

Counting properly from the diagram attached to the question,

number of trials it took her to make less than 7 shots(i.e. 0 to 6 shots) = 38

The total number of trials she made = 50

Probability that it takes fewer than 7 shots to get her first successful shot, P(X < 7) = (number of trials it took to make less than 7 shots)/(Total number of trials)

P(X < 7) = 38/50

P(X < 7) = 0.76

8 0
2 years ago
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