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sweet [91]
3 years ago
8

Write any 4 rational numbers between -1/3 and -1/2

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Step-by-step explanation:

Rational numbers are numbers that terminate or are a repeating decimal.

4 rational numbers between -1/3 and -1/2 are

-5/12,

-0.583333333333333333333333333...,

-0.54166666666666..., and

-0.5208333333...

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Part c
ehidna [41]

The probability that the first slice of the cake will have the marble exists

7/66.

<h3>How to determine the probability using parts A and B?</h3>

Part A of the question demands that the volume of the cake be

estimated.

The volume of the cake exists, $V=\pi(\frac{d}{2} )^{2} h \\

$&V=\pi(\frac{9}{2} )^{2} * 4

$V=81 \pi

The part B of the question requires that the volume of each cut be

computed

The volume of each cut exists, V = 27

To estimate the required probability

We simply divide the volume of each cut by the volume of the cake.

$P=\frac{27}{81 \pi}

$P=\frac{1}{3 \pi}

Expand $\pi$

$&P=\frac{7}{3 * 22} \\

$&P=\frac{7}{66}

Therefore, the probability that the first slice of the cake will contain the

marble exists at 7/66.

To learn more about probability refer to:

brainly.com/question/24756209

#SPJ4

4 0
1 year ago
In this diagram, BAC – EDF. If the
puteri [66]
The triangles are congruent. So.

Triangle ABC is 24 inch^2 and BC is 4 inches.
The area of a triangle is 0.5 x base x height. The will be 12 because 12 x 4 x 0.5 which equals 24.

Triangle DEF is half the size of ABC because bc is 4 and EF is 2 showing it’s half. This then means the height will be half which then mean it will be 6.

This then means we can use the equation to work it out. So. 6 x 0.5 x 2 = 6in^2

The answer is 6inches^2
6 0
3 years ago
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

4 0
3 years ago
Step-by-step square root of 79
alex41 [277]

Answer:

79 does not have a defined square root.

4 0
3 years ago
Factorise the following expressions​.
Setler79 [48]

Answer:

Q.1 a²+10a+24

splitting the middle.

a²+6a+4a+24

=a(a+6)+4(a+6)

(a+6)(a+4)

Q.2 x²+9x+18

splitting the middle

x²+6x+3x+18

x(x+6)+3(x+6)

(x+6)(x+3)

3 0
3 years ago
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