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2 years ago

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Henry and Liani have 200 feet of wood to frame a flower bed. Henry wants the bed to be a square, while Liani wants it to be a re

ctangle with dimensions of 55 feet and 45 feet. Which statement is true regarding the areas of the two flower beds?

1 answer:

uranmaximum [27]2 years ago

4 0

Henrys design would result in a larger flower bed because its area would be 2500 square feet

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Find the gradient of the line segment between the points (2,3) and (-3,8).

fiasKO [112]

Answer:

$m = -1$

Step-by-step explanation:

Given

Points (2,3) and (-3,8)

Required

Determine the gradient

Gradient (m) is calculated by dividing the change in y values by the change in x values.

i.e.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (2,3)$

$(x_2,y_2) = (-3,8)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

$m = \frac{8 - 3}{-3 -2}$

$m = \frac{5}{-5}$

$m = -1$

<em>Hence, the gradient is -1</em>

7 0

1 year ago

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm.

hammer [34]

I dont think this may be right but i think it is 401

5 0

1 year ago

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Which expression is equivalent to 4√6/3√2

VLD [36.1K]

Given

$\frac{4\sqrt{6}}{3\sqrt{2}} = \frac{4\sqrt{2\times3}}{3\sqrt{2}} \\ \\ = \frac{4\sqrt{2}\sqrt{3}}{3\sqrt{2}} = \frac{4}{3} \sqrt{3}$

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2 years ago

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The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probabi

katrin [286]

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt) multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

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2 years ago

A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal lin

joja [24]

Let the distance be d

Using pythagorean theorem,

$d^2 = 64^2 + 100^2$
$d^2 = 14096$
$d = 118.7$
d ≈ 119

The player ran for 119 meters

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2 years ago

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