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2 years ago

Math , pleaaaase

Mathematics

1 answer:

Whitepunk [10]2 years ago

4 0

Answer:

The standard deviation is above 6 mm, which means that this batch does not pass the technical control.

Step-by-step explanation:

Mean of the batch:

The mean of the batch is the sum of all values divided by the number of items. So

$M = \frac{31+32+38+34+45+41+24}{7} = 35$

Mean in the desired interval.

Standard deviation:

Square root of the sum of the difference squared between each term and the mean, divided by the number of itens. So

$S = \sqrt{\frac{(31-35)^2+(32-35)^2+(38-35)^2+(34-35)^2+(45-35)^2+(41-35)^2+(24-35)^2}{7}} = 6.46$

The standard deviation is above 6 mm, which means that this batch does not pass the technical control.

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The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 66

Kobotan [32]

You refer to a rectangular distribution.

I.e. Area ∝ probability

so, length x height = area

=> 6 x height = 1

so, height = 1/6

Therefore, greater than 2.25 minutes => 8-2.25 = 5.75 minutes

=> 5.75 x 1/6 = 0.9583

Since this is uniformly distributed, there is no need to find the height or standard deviation.

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3 years ago

A sector of a circle of 7cm has an area of 44cm².calculate the angle of the sector,correct to the nearest degree π =22\7

Hitman42 [59]

Answer:

$\theta=102.85^{\circ}$

Step-by-step explanation:

Given that,

The radius of circle, r = 7 cm

The area of sector, A = 44cm²

We need to find the angle of the sector. The formula for the area of sector is given by :

$A=\dfrac{\theta}{360}\pi r^2$

Solve for $\theta$ .

$\theta=\dfrac{360A}{\pi r^2}\\\\\theta=\dfrac{360\times 44}{\dfrac{22}{7}\times 7^2}\\\\\theta=102.85^{\circ}$

So, the angle of the sector is equal to $102.85^{\circ}$ .

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3 years ago

Can someone please help me?

Irina18 [472]

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3 years ago

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cricket20 [7]

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3 years ago

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Given: f(x) = x - 7 and h(x) = 2x + 3<br> Write the rule for f(h(x)).

sdas [7]

<h3>Answer: f( h(x) ) = 2x - 4</h3>

Work Shown:

f(x) = x - 7

f( h(x) ) = h(x) - 7

f( h(x) ) = 2x+3 - 7

f( h(x) ) = 2x - 4

Explanation:

In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.

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3 years ago