Wt f...? Why must I ruin the constitution xD We da ppl of da USA, in order 2 form a more perfect union, establish da justice, insure domestic tranquility, provide for da common defense peeps, yo, I am so sorry, I cannot keep ruining the constitution

3 0

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