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2 years ago

The sum of a number and 2 is 6 less than twice that number

Mathematics

2 answers:

IgorC [24]2 years ago

7 0

Step-by-step explanation:

The first thing we have to do before we can actually do the problem is turn the words into a math equation.

If we use x as our "number," we see that "The sum of a number and 2" can also be written as x+2. The word "Is" almost always means (=), so now we have (x+2) = . The very last part, "6 less than twice that number," means 2x - 6.

So, our whole equation is, (x + 2) = (2x - 6), which simplifies to -x = -8, or

x = 8

True [87]2 years ago

3 0

Answer:

y = 8

Step-by-step explanation:

number = y

y + 2 = 2y - 6

y + 2 - 2 = 2y - 6 - 2

y = 2y - 8

y - 2y = 2y - 2y - 8

- y = - 8

- y × - 1 = - 8 × - 1

y = 8

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(a) An article in a medical journal suggested that approximately 14% of such operations result in complications. Using this esti

aev [14]

This question is incomplete, the complete question is;

Surgical complications: A medical researcher wants to construct a

99.5% confidence interval for the proportion of knee replacement surgeries that result in complications.

- An article in a medical journal suggested that approximately 14% of such operations result in complications. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.08?

Answer: a sample of operations needed is 149

Step-by-step explanation:

Given that;

confidence interval = 99.5% = 0.995 so

margin of error E = 0.08

p = 14% = 0.14

now we obtain the critical value of z t the 99.5 confidence interval

∝ = 1 - confidence interval

∝ = 1 - 0.995

∝ = 0.005

∝/2 = 0.0025

obtaining the area of probability in the right tail

Area of probability to the right is = 1 - 0.0025 = 0.9975

from probability table; critical value of t =2.81

using the formula

n = p( 1 - p ) [ (z_∝/2)/E)² ]

so we substitute

n = 0.14 ( 1 - 0.14 ) [ 2.81 / 0.08 )²

n = (0.14 × 0.86 ) × 1233.7656

n = 148.5453 ≈ 149

Therefore , a sample of operations needed is 149

4 0

2 years ago

A circle has a sector with area 45/4 pi and central angle of 9/10 pi radians. What is the area of the circle?

Nikitich [7]

Answer:

the area of the circle: 25π

Step-by-step explanation:

45/4 π = 11.25π

9/10π = 0.9π

11.25π / 0.9π = x / 2π .... 360° = 2π

x = (11.25π x 2π) / 0.9π = 25π

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2 years ago

For 12 days, Keisha keeps track of how much water she drinks per day. her results are shown below

mezya [45]

The total amount of water that Kiesha drinks in 12 days is 20 quarts

The average amount of water she drinks per day is 1 2/3 quarts

The number of days that Keshia drinks at least the average amount of water is 6 days

If she drinks 1 quart of day 13, the average reduces.

<h3>What is the average ?</h3>

The total amount of water drank in the 12 days can be determined by adding the quarts for each day together. When they are added together, the number is 20 quarts.

Average = total amount drank / number of days 1 2/3 quarts

New average = 20 + 1 / 13 = 21 / 13 = 1 7/13 quarts

The average reduces because the quart drank on the 13th day is less than the amount of water drank on the other days.

To learn more about the division of fractions, please check: brainly.com/question/25779356

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1 year ago

The maximum weight of a shipping container is 125 pounds. What is the maximum weight in kilograms? Round to the nearest kilogram

Helga [31]

Step-by-step explanation:

56 kilograms I know kilograms and pounds, but basically 125 doubles because "2.2" so it's 56 kil

3 0

1 year ago

PLEASE HELP

s344n2d4d5 [400]

Let the length of the diameter be d and radius be r, thus to solve for d we proceed as follows:
r²+31²=(r+15)²
solving for d we solve for r
r²+961=r²+30r+225
putting like terms together we obtain:
r²-r²+961-225=30r
736=30r
solving for r
r=24.53
thus
d=24.5333×2
d=49.067~49.1
Answer is D. 49.1

7 0

2 years ago

Read 2 more answers