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dusya [7]
3 years ago
10

When Lucas goes to school, he passes two traffic lights. The probability of showing red is 70% and 80%. How likely is it that at

least one of them shows green on the way to school?
Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Answer:

0.44

Step-by-step explanation:

the probability the first one she's green(0.3) plus the probability the second shows green(0.2) minus the probability both occur(0.06) equals 0.44.

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Which proportion can be used to show that the slope of AC is equal to the slope of CE?
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Slope is given by the expression:

m=\frac{y_2-y_1}{x_2-x_1}

We can equal both slopes of mAC and mCE

\begin{gathered} \frac{3-6}{-1-(-3)}=\frac{-3-3}{3-(-1)} \\  \\ \frac{-3}{2}=-\frac{6}{4} \\ -\frac{3}{2}=-\frac{3}{2} \end{gathered}

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Miguel bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $450 less than the desktop. He p
Stolb23 [73]

Answer

Find out the how much did each computer cost before finance charges .

To proof

Let us assume that the price of the desktop computer be x .

Let us assume that the price of the laptop computer be y .

As given

the laptop cost $450 less than the desktop.

than the equation is written

y = x - 450

As given

He paid for the computers using two different financing plans.

For the desktop the interest rate was 7% per year,

the laptop it was 5.5% per year.

The total finance charges for one year were $279.

7 % is written in the decimal form

=\frac{7}{100}

= 0.07

5.5 % is written in the decimalform

= \frac{5.5}{100}

=0.055

than the equation becomes

0.07x + 0.055y = 279

simplify the above

we get

70x + 55y = 279000

put y = x - 450 in the equation

we get

70x + 55 ( x - 450 ) = 279000

70x + 55x - 24750 = 279000

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x = \frac{3037550}{125}

x = $ 2430

put in the  y = x - 450

y = 2430- 450

y =$ 1980

Therefore the desktop cost $ 2430 before finance charge.

the laptop cost $ 1980 before finance charge.

Hence proved


3 0
2 years ago
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