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3 years ago

What’s the algebraic rule

Mathematics

1 answer:

NARA [144]3 years ago

3 0

Area= length times Width

Answer:

___

Z'X'

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How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F

BARSIC [14]

Answer:

a) Sample Mean = 79.4

Sample standard deviation = 30.62

b) 90% Confidence interval: (67.56 ,91.24)

Step-by-step explanation:

We are given the following in the question:

Prices for sleeping bags has an approximately normal distribution.

We are given the following sample:

35, 85, 105, 40, 100, 50, 30, 23, 100, 110, 105, 95, 105, 60, 110, 120, 95, 90, 60, 70

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1588}{20} = 79.4$

Sum of squares of differences = 1971.36 + 31.36 + 655.36 + 1552.36 + 424.36 + 864.36 + 2440.36 + 3180.96 + 424.36 + 936.36 + 655.36 + 243.36 + 655.36 + 376.36 + 936.36 + 1648.36 + 243.36 + 112.36 + 376.36 + 88.36 = 17816.8

$S.D = \sqrt{\displaystyle\frac{17816.8}{19}} = 30.62$

b) 90% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.10} = \pm 1.7291$

$79.4 \pm 1.73(\displaystyle\frac{ 30.62}{\sqrt{20}} ) = 79.4 \pm 11.84 = (67.56 ,91.24)$

8 0

3 years ago

Solve: 6^2x+2 x 6^3x = 1

motikmotik

Answer:

x=-2

Step-by-step explanation:

Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

3 x + 2 ( 2 x − 1 ) = 2 ( x − 6 )

Simplify the left side.

7 x − 2 = 2 ( x − 6 )

Simplify

2 ( x − 6 ) .

7 x − 2 = 2 x − 12

Move all terms containing x to the left side of the equation.

5 x − 2 = − 12

Move all terms not containing x to the right side of the equation.

5 x = − 10

Divide each term by 5 and simplify.

x = − 2

If it was helpful I'd really appreciate brainliest! <3

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stepladder [879]

Answer:

the discriminant would be -23

Step-by-step explanation:

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Rufina [12.5K]

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I think it's 3

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Paul filled pint containers with 440 cups of water. How many pint containers did Paul need?

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