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3 years ago

Which number line shows the solution to the inequality -2(3x-1)<8

Mathematics

1 answer:

Zigmanuir [339]3 years ago

6 0

Answer:

$x > -1$

Step-by-step explanation:

Given

$-2(3x - 1) < 8$

Required

Show on a number line

$-2(3x - 1) < 8$

Divide through by -2

$\frac{-2(3x - 1)}{-2} < \frac{8}{-2}$

$3x - 1 > -4$

Add 1 to both sides

$3x -1 + 1 > -4 + 1$

$3x > -3$

Divide through by 3

$x > -1$

See Attachment for number line

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the diameters of Douglas firs grown at a Christmas tree farm are normally distributed with a mean of 4 inches and a standard dev

aksik [14]

Answer:

Proportion of the trees will have diameters between 2 and 6 inches = 0.8164

Step-by-step explanation:

Given -

Mean $(\nu )$ = 4

Standard deviation $(\sigma )$ = 1.5

Let X be the diameter of tree

proportion of the trees will have diameters between 2 and 6 inches =

$P(2< X< 6)$ = $P(\frac{2 - 4 }{1.5}< \frac{X - \nu }{\sigma}< \frac{6 - 4 }{1.5})$

= $P(\frac{-2 }{1.5}< Z< \frac{2 }{1.5})$ Put [ $Z = \frac{X - \nu }{\sigma}$ ]

= $P(-1.33< Z< 1.33)$

= $(Z< 1.33) - (Z< -1.33)$

= .9082 - .0918

= 0.8164

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3 years ago

Write an inequality for the given statement: The sum of x and 25 is less than 75.

Kaylis [27]

That statement would be best express by " x + 25 < 75 ". Since the statement says the sum of x and 25, thus, it will be x + 25. Then it also states that the sum is less than 75, so the best expression would be " < 75".

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3 years ago

Convert 45° from degrees to radians.

leonid [27]

<h2>pi divided by four</h2>

Step-by-step explanation:

Let the angle in degrees be $a$

Let the angle in radians be $r$

If $a$ is the angle in degrees and $r$ is the angle in radians,

$a\times \frac{\pi }{180}=r$

It is given that the $a=45$

$r=\frac{\pi}{180}\times a= \frac{\pi}{180}\times 45=\frac{\pi}{4}$

So, $r=\frac{\pi}{4}$

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Brrunno [24]

Answer:

Polygon Name

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Quadrilateral

360°

Pentagon

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Hexagon

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Step-by-step explanation:

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