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3 years ago

Evaluate. (−1 2/3)^2=

Mathematics

1 answer:

vovangra [49]3 years ago

3 0

Answer:

Step-by-step explanation:

(-5/3)(-5/3)= 25/9= 2 7/9

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39. Solve this system: 3x+y=-7 . 4x-y=14A. (–1, 10)B. (1, –10)C. (–1, –10)D. no solution

valkas [14]

Given,

The linear pair of the equation is,

$\begin{gathered} 3x+y=-7 \\ 4x-y=14 \end{gathered}$

Required

The solution of the linear equation.

Taking the equation first as,

$\begin{gathered} 3x+y=-7 \\ y=-7-3x \end{gathered}$

Substituting the value of y in second equation then,

$\begin{gathered} 4x-y=14 \\ 4x+7+3x=14 \\ 7x+7=14 \\ 7x=7 \\ x=1 \end{gathered}$

Substituting the value of x in first equation then,

$\begin{gathered} 3x+y=-7 \\ 3(1)+y=-7 \\ y=-7-3 \\ y=-10 \end{gathered}$

Hence, the solution of the system is (1, -10).

8 0

1 year ago

9. If y varies directly with x and y = -3 when x = 6, find y when x = 14.

masya89 [10]

If y varies directly with x and y = -3 when x = 6, find y when x = 14.

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the constant of variation.

we are given y = -3 when x = 6

so substitute y = -3 and x = 6 to determine 'k'

k = y/x

k = -3/6 = -1/2

Now we have to find y when x = 14

so substituting x = 14 and k = -1/2 to find y

y = kx

y = -1/2 × 14 = -7

Therefore, the value of y = -7 when x = 14

10) If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.

we are given y = 4 when x = 3

so substitute y = 4 and x = 3 to determine 'k'

k = y/x

k = 4/3

Now we have to find x when y = -12

so substituting y = -12 and k = 4/3 to find x

y = kx

x = y/k

x = [-12] / [4/3] = [-12×3] / [4]

x = -36/4

x = -9

Therefore, the value of x = -9 when x = 3

11)

If y varies directly with x and y = -6 when x = 2, find the constant of variation.

We are given

y = -6

x = 2

so substitute y = -6 and x = 2 in the equation

k = y/x

k = -6/2

k = -3

Therefore, the value of the constant of variation will be:

k = -3

7 0

3 years ago

What is 4 3/4 + -5/8

Alona [7]

I think is 12 1/7 I'm not sure it's correct but I think it is

4 0

3 years ago

During a rock concert, the noise level (in decibels) in front row seats has a mean of 95 dB with a standard deviation of 8 dB. W

lorasvet [3.4K]

Answer:

$\frac{8}{9} *100= 88.89 \%$

So we have at least 88.89% of the noise level values within 3 deviation from the mean.

Step-by-step explanation:

For this case let define the random variable X as the noise level, we know the following properties for X:

$E(X) = 95 , Sd(X)= 8$

And for this case we don't know the distribution for the random variable X.

But we can use the Chebysev theorem who states that the minimum percentage of the data that lies within k standard deviations from the mean is given by:

$1 -\frac{1}{k^2}, k>1$

So for this case we have that k = 3 and if we use this theorem we have:

$1- \frac{1}{3^2}$

$1- \frac{1}{9}=\frac{8}{9}$

And we can convert this into % and we got:

$\frac{8}{9} *100= 88.89 \%$

So we have at least 88.89% of the noise level values within 3 deviation from the mean.

5 0

4 years ago

Add me on sc <br> tommyplanksnaps

DedPeter [7]

Answer:

ok lol

Step-by-step explanation:

6 0

3 years ago

Evaluate. (−1 2/3​)^2=

Evaluate. (−1 2/3)^2=