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3 years ago

What is the solution of the system?

2 answers:

7 0

3x +2y= 11 ----1
x -2 = -4y ---- 2

Equation 2 times by 3
3x -6 = -12y

Subracting 2-1
3x-6=-12y
3x-11=-2y

Leaving
5=-10y
y= -1/2

Hence
B. is the solution

PS, If you rate this as "Brainiest" that would be most appreciated

Rama09 [41]3 years ago

3 0

X - 2 = -4y
x = -4y + 2
Now, substitute the value of x in first equation,
3(-4y+2) + 2y = 11
-12y + 6 + 2y = 11
-10y = 5
y = -1/2

Now, substitute the value of y in 2nd equation,
x = -4(-1/2) + 2
x = 2 + 2 = 4

In short, Your Answers are x = 4 and y = -1/2, Which is Option B

Hope this helps!

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Three cards are drawn at random from a standard deck of cards, without replacement. Find the probability that the suits of the c

Evgesh-ka [11]

The probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

According to the give question.

Three cards are drawn from a standard deck of cards without replacement.

Since,

The total number of cards in a standard deck = 52

Total number of spade cards = 13

Total number of heart cards = 13

Now,

The probabbility of getting first card as a spade card = 13/52 = 1/4

The probability of getting second card as heart card

= 13/(52 -1) (cards are drawn without replacement)

= 13/51

The probability of getting third card as a spade card

= (13 - 1)/52 -2

= 12/50

= 6/25

Therefore, the probability that suits of the cards are spades, hearts, spades

= 1/4 × 13/51 × 6/25

= 39/850

= 0.046

Hence, the probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

Find out more information about probability here:

brainly.com/question/11234923

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8 0

1 year ago

An analyst from an energy research institute in California wishes to precisely estimate a 99% confidence interval of the average

Lena [83]

Answer:

190

Step-by-step explanation:

Data provided in the question:

Confidence level = 99%

Therefore,

α = 1% = 0.01

[ from standard normal table ]

z-value for $z_{\frac{\alpha}{2}}= z_{\frac{0.01}{2}}=$ = 2.58

Margin of error, E = $0.06

Standard deviation, σ = $0.32

Now,

n = $(\frac{z_{0.005}\sigma}{E})^2$

Here,

n is the sample size (or the minimum number of gas stations )

on substituting the respective values, we get

= $(\frac{z_{0.005}\sigma}{E})^2$

= $(\frac{2.58\times0.32}{0.06})^2$

= 13.76²

= 189.3376 ≈ 190

Hence,

minimum number of gas stations that she should include in her sample is 190

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3 years ago

Pamela is 8 years older that Jiri. The sum of their age is 102. What is Jiri's age?

tresset_1 [31]

Answer:

Step-by-step explanation:

102-8= 94

94/2= 47

Jiri is 47 years old.

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3 years ago

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natulia [17]

The answer is 20>t-7>10

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On a piece of paper, use a protractor to construct a triangle with angle measures of 40° and 60º.

Triss [41]

All 3 triangle angles sum to 180 degrees.
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3 years ago

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