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3 years ago

Two lines, a and b, are represented by the equations given below:

Mathematics

2 answers:

ElenaW [278]3 years ago

8 0

An system of equations is only true if it satisfies both equations

<h2>c) (-4, -8), because the point satisfies both equations </h2>

grigory [225]3 years ago

4 0

Answer:

no c is not the answer it is D

Step-by-step explanation:

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If a parallelogram has an area of 289 meters sq and length of 17 meters what is the height

navik [9.2K]

The height would be 17 meters because,
17x17=289

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2 years ago

Subtract. 8 1/4 - 5 2/3. PLEASE HELP

Naddika [18.5K]

Answer:

2.5833333333333333333

Step-by-step explanation:

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3 years ago

A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a

zavuch27 [327]

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

$\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}$

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

$\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}$

Hence the answer is 0.1157

(ii) None is defective becomes

$\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}$

hence the answer is 0.4823

(iii) All are defective

$\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}$

(iv) At least one is defective

This is 1 - probability that none is defective

$\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}$

Hence the answer is 0.5177

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1 year ago

maxine hosted a dinner party at her favorite restaurant. she had to pay $12 per guest. the restaurant took $72 off the bill due

kolbaska11 [484]

" $300 = $12g - $72 " .

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3 years ago

For each lettered part, a through c, examine the two given sets of numbers. without doing any calculations, decide which set has

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3 years ago