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2 years ago

10

Simplify 1/4 (-12+4/3)

1 answer:

garri49 [273]2 years ago

8 0

Decimal form: -2.6666..
Fraction form: -2 2/3

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What is the slope of a line perpendicular to y = -7/4x?

dexar [7]

A line is perpendiculat to another which has a slope of m if the perpendicular line has a slope of -1/m.
That means that if the product of slopes of two lines is -1, the two lines are perpendicular.

Here, y1=-7/4x, or m=-7/4
The perpendicular should have a slope of -1/m=-1/(-7/4)=4/7

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2 years ago

The mean number of hours that employees of a large corporation work in a week is 41 hours with a standard deviation of 2.78. Wha

erastova [34]

Answer:

Step-by-step explanation:

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2 years ago

Work out the surface area of this sphere.

MrRissso [65]

Answer:

452.2 cm

Step-by-step explanation:

A = 4πr²

A = 4 (3.14) (6)²

A = 4 (3.14) (36)

A = 452.16

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2 years ago

The annual 2-mile fun-run is a traditional fund-raising event to support local arts and sciences activities. It is known that th

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Answer: 0.0228

Step-by-step explanation:

Given : The mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

$\mu=30\\\\\sigma=5.5$

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.

Let X be the random variable that represents the finish times for this event.

z score : $z=\dfrac{x-\mu}{\sigma}$

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Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

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2 years ago

-8x-27=-7\left(1+2x\right)+2x

Darina [25.2K]

Answer:

$x=5$

Step-by-step explanation:

$-8x-27=-7\left(1+2x\right)+2x$

Expand:

$-8x-27=-7\times 1-7\times 2x+2x$

$-8x-27=-7-12x$

Add 27 to both sides:

$-8x-27+27=-7-12x+27$

$-8x=-12x+20$

Add 12x to both sides:

$-8x+12x=-12x+20+12x$

$4x=20$

Divide both sides by 4:

$\frac{4x}{4}=\frac{20}{4}$

$x=5$

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2 years ago