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12345 [234]
3 years ago
11

What is the ratio (multiplier) of the following geometric sequence? 8,56,392,2744

Mathematics
1 answer:
NikAS [45]3 years ago
3 0
19,208. The sequence increases by multiples of 7.
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3 years ago
Find the area of the shaded regions below. Give your answer as a completely
Eddi Din [679]

Answer:

\huge\boxed{A_R=18\pi\ cm^2}

Step-by-step explanation:

\dfrac{80^o}{360^o}=\dfrac{8}{36}=\dfrac{2}{9}

The shaded region is 2/9 of whole circle.

Calculate the area of a circle:

A=\pi r^2

r - radius

Substitute r=9cm

A_O=\pi\cdot9^2=81\pi(cm^2)

Calculate the area of the shaded regions:

A_R=\dfrac{2}{9}A_O\\\\A_R=\dfrac{2}{9}\cdot81\pi=2\cdot9\pi=18\pi(cm^2)

6 0
3 years ago
Two fair dice are tossed, and the up face on each die is recorded. Find the probability of observing each of the following event
Kamila [148]

Answer:

Step-by-step explanation:

When two fair dice are tossed sample space consists of 36 events

(1,1)....(6,6)

A_ The difference of numbers is 2 or less

Favorable outcomes = (1,1) (1,2) (1,3) (2,1) (2,2)(2,3) (2,4) (3,1) (3,2) (3,3) (3,4) (3,5) (4,2) (4,3)(4,5) (4,6) (5,3) (5,4) (5,6)\\

Hence Probability = \frac{19}{36}

B) A 4 does not appear on either die

Then we must not have these

(4,1)(4,2)(4,3) (4,4) (4,5) (4,6)\\(1,4) (2,4) (3,4) (5,4) (6,4)

Hence probability = \frac{36-11}{36} =\frac{25}{36}

C:  The sum of numbers is 10 or more:

FAvourable outcomes are:

(4,6) (5,5) (5,6) (6,5) (6,4)

Probability = \frac{5}{36}

6 0
3 years ago
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