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2 years ago

20 subtracted from the product of 2 and a number is 14.

Mathematics

2 answers:

Georgia [21]2 years ago

6 0

Answer:

2x-20=14

The number is 17

Step-by-step explanation:

Let the number be x

subtracted from means we do that 2nd

we need the product of 2 and the number first

now we subtract 20

2x-20

is means equals

2x-20=14

Add 20 to each side to solve

2x-20+20 =14+20

2x = 34

Divide each side by 2

2x/2 =34/2

x = 17

kirill [66]2 years ago

3 0

Answer:

x = 17

Step-by-step explanation:

Step 1: Convert words into an expression

20 subtracted from the product of 2 and a number is 14.

(2 * x) - 20 = 14

Step 2: Add 20 to both sides

2x - 20 + 20 = 14 + 20

2x = 34

Step 3: Divide both sides by 2

2x / 2 = 34 / 2

x = 17

Answer: x = 17

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3 years ago

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

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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

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2 years ago