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1 year ago

Which property allows you to write the expression (3 7i) (8 − 6i) as (8 − 6i) (3 7i)?

Mathematics

1 answer:

DanielleElmas [232]1 year ago

4 0

Answer:

Commutative property

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If (a,1),(-2,b).(c,-3) are points on the straight line 2x + y = 3x - y +1. Find the values of a, b and c. THANK YOU FOR THR PERS

Lisa [10]

Answer:

it’s g ! i just turned it in and it’s g :)

6 0

2 years ago

a train moves at a constant speed. it can travel 150 miles in 2 1/2 hours. how long will it take for the train to travel 360 mil

Leno4ka [110]

Answer:

It would equal 6 hours

Step-by-step explanation: you would have to divide 150 and 2 1/2 and get 60 then dovide by 360 and you will get 6 as in 6 hours

8 0

2 years ago

Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—has the potential to be an alternati

telo118 [61]

Answer:

a) 0.033

b) 0.468

c) 100

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 105.3

Standard Deviation, σ = 8

The amount x of miraculin produced (measured in micro-grams per gram of fresh weight) had a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(x > 120)

$P( x > 120) = P( z > \displaystyle\frac{120 - 105.3}{8}) = P(z > 1.8375)$

$= 1 - P(z \leq 1.8375)$

Calculation the value from standard normal z table, we have,

$P(x > 120) = 1 - 0.967 = 0.033 = 3.3\%$

b) P(x between 100 and 110)

$P(100 \leq x \leq 110) = P(\displaystyle\frac{100 - 105.3}{8} \leq z \leq \displaystyle\frac{110-105.3}{8}) = P(-0.6625 \leq z \leq 0.5875)\\\\= P(z \leq 0.5875) - P(z \leq -0.6625)\\= 0.722 - 0.254 = 0.468 = 46.8\%$

$P(100 \leq x \leq 110) = 46.8\%$

c) P(x < a) = 0.25

$P( x \leq a) = P( z \leq \displaystyle\frac{a - 105.3}{8}) = 0.25$

Calculation the value from standard normal z table, we have,

$P( z \leq -0.674) = 0.25$

$\displaystyle\frac{x - 105.3}{8} = -0.674\\\\x = -0.674\times 8 + 105.3 = 99.908 \approx 100$

3 0

3 years ago

Factor the trinomial:<br><br> -2x²-16x-24

Liula [17]

$-2x^2-16x-24

$
<u /> $-2x^2-12x-4x-24$
$-2x(x+6)-4(x+6)$
$(-2x-4)(x+6)$
-2(x+2)(x+6)

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3 years ago

The drug lorazepam, used to relieve anxiety and nervousness, has a half life of 14 hours. if a doctor prescribes one 2.5 milligr

Klio2033 [76]

$\bf \textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &2.5\\ t=\textit{elapsed time}\dotfill &24\\ h=\textit{half-life}\dotfill &14 \end{cases} \\\\\\ A=2.5\left( \frac{1}{2} \right)^{\frac{24}{14}}\implies A=2.5\left( \frac{1}{2} \right)^{\frac{12}{7}}\implies A\approx 0.761883533878$

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3 years ago