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3 years ago

A six-sided number cube is rolled twice.

Mathematics

1 answer:

Kitty [74]3 years ago

4 0

Answer:

1/6

Step-by-step explanation:

Probability is a chance of an event taking place.

Probability = (favorable outcome)/(total outcome)

There are 3 even sides in a dice.

P(even) = 3/6 = 1/2

There are 2 numbers that are greater than 4 in a dice.

P(x>4) = 2/6 = 1/3

P(even and x>4) = 1/2 × 1/3 = 1/6

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12345 [234]

Answer:

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3 years ago

HELP ASAP

Aneli [31]

Answer:

Step-by-step explanation: 1/6

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3 years ago

Line L1 passes through points P(n,4) and Q(1,-2). Line L2 passes through R(4,3) and S(1,5). What is the value of n if the lines

Elena L [17]

Answer:

Step-by-step explanation:

For two lines to be parallel, they must have the same slope

Get the slope of each line

For L1;

m1 = -2-4/1-n

m1 = -6/1-n

For L2;

m2 = 5-3/1-4

m2 = 2/-3

m2 = -2/3

Since they have the same slope, m1 = m2

-6/1-n = -2/3

6/1-n = 2/3

Cross multiply

2(1-n) = 6(3)

2-2n = 18

-2n = 18 - 2

-2n = 16

n = -16/2

n = -8

Hence the value of n is -8

4 0

2 years ago

How to find (c,d,e)<br>Please do a step by step working.Thank you.

Natasha2012 [34]

(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
   $\frac{t + 1}{2}$ = y
Answer for (a): $g^{-1}(t)$ = $\frac{t + 1}{2}$

(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y: $y =\frac{t - 3}{4}$

Answer for (b): $h^{-1}(t)$ = $\frac{t - 3}{4}$

(c)
$g^{-1} ( h^{-1}(t)) = g^{-1} (\frac{t - 3}{4})$
replace all t's in the $g^{-1}(t)$ equation with $\frac{t - 3}{4}$
$g^{-1} (\frac{t - 3}{4})$ = $\frac{ \frac{t-3}{4} + 1}{2}$
= $\frac{ \frac{t-3}{4} + \frac{4}{4}}{2}$ = $\frac{ \frac{t - 3 + 4}{4}}{2}$ = $\frac{ \frac{t + 1}{4}}{2} = \frac{t + 1}{8}$
Answer for (c): $g^{-1} ( h^{-1}(t))$ = $\frac{t + 1}{8}$

(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1

(e)
h(g(t)) = 8t - 1
   y = 8 t - 1
   t = 8y - 1
t + 1 = 8y
$\frac{t + 1}{8}$ = y
Answer for (e): inverse of h(g(t)) = $\frac{t + 1}{8}$

8 0

3 years ago

Really need help with this

IrinaVladis [17]

Answer:

36.89°

Step-by-step explanation:

tan x = 15/20=3/4

x = 36.89

5 0

2 years ago