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3 years ago

The second step in the process for factoring the trinomial x2-3x -40 is to:

Mathematics

1 answer:

MariettaO [177]3 years ago

5 0

Answer:

Step-by-step explanation:

list all the factors of 40

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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

3 years ago

An 118 inch board is cut into two pieces. one piece is 14 inches longer than the other piece find the length of each piece

IRINA_888 [86]

Step by step, 118-14=104, you would then divide 104 by 2 giving you 52, 52+14= 66, one piece is 66 inches while the other is 52 inches, adding them together would be 118

5 0

4 years ago

What is the equasion of the line that passes through (0,5) and (2,3)

Annette [7]

The equation for a line is mx + b = y where m is the slope and b is the y intercept. To find the slope, we need to use the equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$m = \frac{5 - 3}{0 - 2}$

$m = \frac{2}{-2}$

$m = -1$

Therefore, m is equal to -1. Normally, we would then have to plug in m and one of the points to find b. However, because the point (0,5) is the y-intercept (the y-intercept is the point on the line where x is equal to 0), we can skip this step and go straight to forming the final equation, which is $y=-1x+5$ .

3 0

3 years ago

Rewrite the expression (19x3 – 5x2 + 6x – 2)/(x + 1) in the form q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b

wolverine [178]

We are asked to perform the long division on the following expression.

$\frac{(19x^3-5x^2+6x-2)}{(x+1)}$

Let us perform the long division.

So, we have

Quotient: q(x) = 19x^2 - 24x + 30

Remainder: r(x) = -32

Divisor: b(x) = x + 1

Therefore, the equivalent expression is

$19x^2-24x+30-\frac{32}{(x+1)}$

The 3rd option is the correct answer.

7 0

1 year ago

Which of the following is a terminating decimal? A.10.3 never ending B.10 with the check mark C. 10.101 D.100.6 never ending

kirill [66]

C; terminating means it stops at a definite point
a is a repeating decimal, for b i think you mean radical of 10 and that’s irrational, and d is repeating

7 0

4 years ago