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4 years ago

5

B + d = -2d + a solve for b

1 answer:

77julia77 [94]4 years ago

5 0

I believe that it is b=-3d+a

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Simplify 9x + 12 –x + 4.

Airida [17]

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Step-by-step explanation:

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3 years ago

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nydimaria [60]

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3 years ago

You can win a new car in a game show if you can put 4 balls in cups in the right order. The cups are lettered A, B, C, and D and

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3 years ago

A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.64 years and the standard deviation i

____ [38]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

Assuming that conditions have been met for the interval, we use the formula $\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}$ where $\bar{x}$ represents the sample mean, $t$ represents the critical value, $s$ represents the sample standard deviation, and $n$ is the sample size.

The critical value of $t$ for an 80% confidence level with degrees of freedom $df=n-1=25-1=24$ is equivalent to $t=1.317836$

Thus, we can compute the confidence interval:

$\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}\\\\CI=32.64\pm1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\\\\CI\approx\{30.17,35.11\}$

Therefore, we are 80% confident that the true mean age of all customers is between 30.17 and 35.11 years.

<u>Part B</u>

The margin of error is $\displaystyle t\frac{s}{\sqrt{n}}=1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\approx2.47$

6 0

2 years ago

Find the equation for the plane through the points Po(3,-2,5), Qo(-3,-1,-5), and Ro(0,-4,4) The equation of the plane is Type an

Vedmedyk [2.9K]

Answer:

- 21 x + 24 y + 15 z =120

Step-by-step explanation:

Given that

Po(3,-2,5), Qo (-3,-1,-5), and Ro (0,-4,4) ,These are the point in the space.

We know that equation of a plane is given as

$\begin{vmatrix}x-x_1 & y-y_1 &z-z_1 \\ x_2-x_1 & y_2-y_1 &z_2-z_1 \\ x_3-x_1 &y_3-y_1 & z_3-z_1\end{vmatrix}=0\\$

$\begin{vmatrix}x-0 & y+4 &z-4 \\ 3-0 & -2+4 &5-4 \\ -3-0 &-1+4 & -5-4\end{vmatrix}=0.$

$\begin{vmatrix}x & y+4 &z-4 \\ 3 & 2 &1 \\ -3 &3 & -9\end{vmatrix}=0.$

Now by solving above determinate we get

x( -18 -3 ) -(y+4 ) ( -27 +3 ) + ( z- 4) (9+6) = 0

-21 x +24 y -24 x 4 + 15 z - 24 = 0

- 21 x + 24 y + 15 z -120 = 0

- 21 x + 24 y + 15 z =120

Therefore the equation of the plane will be

- 21 x + 24 y + 15 z =120

6 0

3 years ago