First to answer get's brainly.

PLEASE help me with this geometry question

Sonja [21]

Answer:

What’s the question?

Step-by-step explanation:

6 0

3 years ago

Q4. An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculat

JulijaS [17]

Answer:

I) $\dfrac{1}{8}$ (ii) $\dfrac{53}{64}$ (iii) $\dfrac{15}{64}$ (iv) $\dfrac{5}{8}$ (v) $\dfrac{21}{32}$

Step-by-step explanation:

The sample space for an 8-sided fair die rolled twice is:

$[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]\\$

(a) Possibility diagram of the product of the two numbers appearing on the die in each throw

$1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6.12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64$

(b)

I) A prime number

$P$(Product is a prime number)=\dfrac{8}{64}= \dfrac{1}{8}$

ii) Not a perfect square

Number of Perfect Squares =11

P(Product is Not a perfect square) $=\dfrac{64-11}{64}= \dfrac{53}{64}$

iii) A multiple of 5

Number of Multiples of 5=15

$P$(A multiple of 5)=\dfrac{15}{64}$

iv) Less than or equal to 21

Product less than or equal to 21=40

$P$(Less than or equal to 21)=\dfrac{40}{64}=\dfrac{5}{8}$

v) Divisible by 4 or 6

Products Divisible by 4 or 6= 42

$P$(Divisible by 4 or 6)=\dfrac{42}{64}=\dfrac{21}{32}$

8 0

3 years ago

What is the P(Red Diamond Face Card) and the P (Black Face Card)

levacccp [35]

Answer:

9/1352.

Step-by-step explanation:

P(Red Diamond Face Card) = 3/52.

P (Black Face Card) = 6/52 = 3/26.

So the answer is 3/52 * 3/26

= 9/1352.

4 0

3 years ago

Find symmetric equations for the line of intersection of the planes. z = 4x − y − 13, z = 6x + 5y − 13

MArishka [77]

The intersection line of two planes is the cross product of the normal vectors of the two planes.

p1: z=4x-y-13 => 4x-y-z=13
p2: z=6x+5y-13 => 6x+5y-z=13
The corresponding normal vectors are:
n1=<4,-1,-1>
n2=<6,5,-1>

The direction vector of the intersection line is the cross product of the two normals,
vl=
i j k
4 -1 -1
6 5 -1
=<1+5, -6+4, 20+6>
=<6,-2,26>
We simplify the vector by reducing its length by half, i.e.
vl=<3,-1,13>

To find the equation of the line, we need to find a point on the intersection line.
Equate z: 4x-y-13=6x+5y-13 => 2x+6y=0 => x+3y=0.
If x=0, then y=0, z=-13 => line passes through (0,0,-13)

Proceed to find the equation of the line:
L: (0,0,-13)+t(3,-1,13)
Convert to symmetric form:
$\frac{x-0}{3}=\frac{y-0}{-1}=\frac{z-(-13)}{13}$
=>
$\frac{x}{3}=\frac{-y}{1}=\frac{z+13}{13}$

3 0

3 years ago

Suppose you just received a shipment of twelve televisions. Three of the televisions are defective. If two televisions are rando

qwelly [4]

Answer: The probability that both televisions work is 0.5625 .

The probability at least one of the two televisions does not work is 0.4375.

Step-by-step explanation:

Given : Number of televisions received in shipment= 12

Number of defective televisions received in shipment= 3

Then proportion of defective televisions = $\dfrac{3}{12}=0.25$