All categories

3 years ago

One event has 5 outcomes and another event has 12 outcomes. what does 5x12 represent?

2 answers:

8 0

Actually, it is the total possible outcomes. Think of it this way:

If you toss a coin, there are two outcomes.
If you roll a dice, there are six outcomes.

What happens if you do both?

Well, for every time you land on heads, there are six faces for the die that are possible,

same with tails. another six out comes.

So total possible outcomes = 6 * 2.

Probability of getting a heads AND 3 on the dice? 1/(6*2)

:-)

Ivahew [28]3 years ago

6 0

The possible outcomes if they both happen at the same time?

You might be interested in

There are 6 people in edema family.Beach person drinks2\5 of a gallon of milk each week .How many gallons of milk does Den's fam

iren [92.7K]

hard to see the answers on the screen with the glare but the answer is 2.4 so I would say if there is a choice between 2 and 3 that would be the answer

4 0

3 years ago

WILL GIVE BRAINLIEST 50 POINTS

Marat540 [252]

Answer:

I think its 95.0%.But I am not sure about it

4 0

2 years ago

Read 2 more answers

Show work please<br> \sqrt(x+12)-\sqrt(2x+1)=1

Nesterboy [21]

Answer:

$x=4$

Step-by-step explanation:

Given $\displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1$ , start by squaring both sides to work towards isolating $x$ :

$\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2$

Recall $(a-b)^2=a^2-2ab+b^2$ and $\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}$ :

$\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1$

Isolate the radical:

$\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}$

Square both sides:

$\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2$

Expand using FOIL and $(a+b)^2=a^2+2ab+b^2$ :

$\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36$

Move everything to one side to get a quadratic:

$\displaystyle-\frac{1}{4}x^2+7x-24=0$

Solving using the quadratic formula:

A quadratic in $ax^2+bx+c$ has real solutions $\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ . In $\displaystyle-\frac{1}{4}x^2+7x-24$ , assign values:

$\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24$

Solving yields:

$\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}$

Only $x=4$ works when plugged in the original equation. Therefore, $x=24$ is extraneous and the only solution is $\boxed{x=4}$

4 0

2 years ago

4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there

kherson [118]

4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there be?

314 boys + 310 girls = 624

If they are grouped into classes of 26 students each, how many class will there be?

130 students = 5 classes

Therefore

260 students = 10 classes

260 x 2 = 520 = 20 classes

26 x 24 = 624

Number of classes = 24

Question 5).

Jim worked 48 weeks last year. Each week he worked 38 hours. If he worked an additional 240 hours of overtime, how many hours did he work in all?

Solution:

48 weeks

24hrs × 7 = 168hrs

168 x 48 = 8,064

Additional 240hrs

= 168hrs = 7 days (a week)

240hrs - 168 = 72 (3days)

168 + 72

= 240hrs + 8, 064

= 8, 304 hrs

6 0

3 years ago

PLEASE HELPPPP!!!

Elena L [17]

follow the above steps may be it's right

6 0

3 years ago