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3 years ago

What is the probability of rolling a six-sided number cube and getting an odd number or a number less than 4?

Mathematics

1 answer:

LuckyWell [14K]3 years ago

7 0

Answer:

$Pr(Odd\ or\$

Step-by-step explanation:

Given

$S = \{1,2,3,4,5,6\}$ --- roll of a die

$n(S) = 6$ ---- the sample size

$Odd = \{1,3,5\}$

Required

$Pr(Odd\ or\$

First, list out the event of odd or <4

$Odd\ or\$

So, the probability is:

$Pr(Odd\ or\$

Simplify

$Pr(Odd\ or\$

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Solve the following: a. 4x^2 + 5x + 3 = 2x^2 − 3x b. c^2 − 14 = 5c

Jet001 [13]

Answer:

(a) x = -0.418 , -3.581

(B) c = 6.855, -1.855

Step-by-step explanation:

(A) We have given equation $4x^2+5x+3=2x^2-3x$

$2x^2+8x+3=0$

On comparing with standard quadratic equation $ax^2+bx+c$

a = 2, b = 8 and c = 3

So roots of the equation will be $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-8\pm \sqrt{8^2-4\times 2\times 3}}{2\times 2}=\frac{-8\pm 6.324}{4}=-0.418,-3.581$

(b) $c^2-14=5c$

$c^2-5c-14=0$

a = 1, b = -5 and c= -14

So $c=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-(-5)\pm \sqrt{(-5)^2-4\times 1\times (-14)}}{2\times 1}=\frac{5\pm 8.71}{2}=6.855,-1.855$

7 0

3 years ago

What does A represent in "BA+AB+AB+CAA"

mixer [17]

Answer:

that looks hard sorry i cant help you good luk .

3 0

2 years ago

The area of the rectangle shown is 44 m2. | 3 m x m Work out the missing length x.

andrew11 [14]

Answer:

$area = length \times width \\ 44 = 3 \times x \\ x = \frac{44}{3}$

8 0

3 years ago

How many numbers are equal to the sum of two odd, one digit numbers

Paul [167]

Here is a list of the odd number paired

1+3, 1+5, !+7, and !+9 (there are 4 unique sums - 4, 6,8 and 10)
3+5, 3+7, 3+9 (notice I did not pair 3 with 1 and the the only new sum is 12)
5+7, 5+9 (the only new sum is 14)
7+9 (16 is a new sum)

The sums (no repeats) are 4,6,8,10,12,14 and 16 for a total of seven numbers.

5 0

3 years ago

Distribute -(-4v+6.3w-9.8)

Firdavs [7]

Answer:

4v-6.3w+9.8

Step-by-step explanation:

If you distribute the negative sign (same as distributing -1), then you get -(-4v) + (-6.3w) - (-(9.8))

Basically it's switching the signs

Hope that helped :)

3 0

3 years ago