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ANTONII [103]
3 years ago
13

Does someone know the answer to 6(x-5) > 3(x-1) ??

Mathematics
1 answer:
Keith_Richards [23]3 years ago
5 0

Answer:

x > 9

Step-by-step explanation:

6x - 30 > 3x - 3

3x > 27

x > 9

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Wollllllllyyyyy d-d-d-d-d-Dora
8 0
3 years ago
Suppose that 30% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the ot
Softa [21]

Answer:

a. Mean = 4.5, Standard Deviation = 1.775

b. 0.0152

Step-by-step explanation:

Given

n = 15 purchasers

p = Success = 30%

p = 0.3

q =Failure = 70%

q = 0.7

a.

Mean = np

Mean = 15 * 0.3

Mean = 4.5

Standard Deviation = √Variance

Variance = npq

Variance = 15 * 0.3 * 0.7

Variance = 3.15

Standard Deviation = √3.15

Standard Deviation = 1.774823934929884

Standard Deviation = 1.775 ---------- Approximated

b.

The probability that the number who want new copies is more than two standard deviations away from the mean value

Standard Deviation = 1.775

Mean = 4.5

2 Standard Deviation and Mean = 2 * 1.775 + 4.5

= 3.55 + 4.5

= 8.05

P(X>8.05) = P(9) + P(10) +........+ P(15)

Using the binomial distribution

(p + q) ^ n where p = 0.3, q = 0.7 , n = 15

Expanding (p+q)^n where n = 15 and r > 8

We have

15C9 p^9 q^6 + 15C10 p^10 q^5 + 15C11 p^11 q⁴ + 15C12 p^12 q³ + 15C13 p^13 q² + 15C14 p^14 q + p^15

= 5005 (0.3)^9 (0.7)^6 + 3003 (0.3)^10 (0.7)^5 + 1365 (0.3)^11 (0.7)⁴ + 455 (0.3)^12 (0.7)³ + 105 (0.3)^14 (0.7)² + 15 (0.3)^14 (0.7) + 0.3^15

=0.015234

7 0
3 years ago
The earth rotates 1.25 degrees in 5 min. how many degrees does it rotate in 1 minute
Mamont248 [21]
It rotates 0.25 degrees in 1 minute
6 0
3 years ago
Calvin has $360 less in his savings account than he had 8 weeks ago. Each
maksim [4K]

Answer:

<u>Calvin withdraws $ 60 each week</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Calvin's account balance difference than 8 weeks ago = - $ 360

Weekly amount Calvin deposits = $ 15

Number of weeks to compare = 8

2. What was his average withdrawal  each week?

Let's calculate the weekly average withdrawal this way:

Weekly average withdrawal = [Calvin's account balance difference than 8 weeks ago - (Weekly amount Calvin deposits * Number of weeks to compare)]/Number of weeks to compare

Replacing with the values given:

Weekly average withdrawal = [-360 - (15 * 8)]/8

Weekly average withdrawal = -360 - 120 / 8

Weekly average withdrawal = -480 / 8

<u>Weekly average withdrawal = -60</u>

<u>Calvin withdraws $ 60 each week</u>

6 0
4 years ago
Write an inequality for the situaions below and solve:
musickatia [10]

Answer

Find out the how many boxes of paper can the forklift move at one time .

To proof

Let us assume that the number of boxes be x.

As given

A forklift can carry up to 2500 pounds.

You want to move boxes of paper which each weigh 140 pounds.

The paper boxes are supported on one pallet which weighs 50 pounds.

Than the equation is become in the form

140x +50  ≥ 2500

140x ≥ 2500 - 50

140x ≥ 2450

x \geq \frac{2450}{140}

x ≥ 17.5

Therefore the 18 boxes of paper can the forklift move at one time .

Hence proved

5 0
3 years ago
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