All categories

3 years ago

How many different situations arise when five coins are thrown into the air?

Mathematics

1 answer:

svet-max [94.6K]3 years ago

4 0

Each coin will either land as a head or a tail. - 2 possible results.
for 5 coins its 2*2*2*2*2 = 32 different results.

You might be interested in

Which expressions simplify to a rational number? Select each correct answer

Svetach [21]

All but the first simplify to something rational.

$\sqrt{3}\cdot\sqrt{16}=4\sqrt{3}\qquad\text{irrational}$
$2\sqrt{9}\cdot\sqrt{4}=2\cdot 3\cdot 2=12$
$7\sqrt{3}\cdot\sqrt{3}=7\cdot 3=21$
$\sqrt{5}\cdot\sqrt{5}=5$

7 0

3 years ago

Read 2 more answers

6x2y^3/3xy Use Laws of exponents. answer is 2xy^2 but I don't know how to get it. My initial answer was 4y^2

allsm [11]

Step-by-step explanation:

$\frac{6x^{2}y^{3}}{3xy}$

If it helps, write as a product of fractions, grouped by variable.

$\frac{6}{3} \frac{x^{2}}{x} \frac{y^{3}}{y}$

Now reduce using exponent rules.

$2xy^{2}$

4 0

3 years ago

Marlowe loves to draw. She wants to refine her skills and start taking drawing lessons at a local art studio. The table shows th

Bogdan [553]

Sorry im a little late but here's how i did it.

Hope this helps! :)

3 0

3 years ago

The mean score of 15 students was 82.0. (a) Another student joins, and the mean becomes 82.5. What is the new student's score? (

slega [8]

Answer:

a) The new student's score is 90.

b) Their scores are a pair of scores lower than 100 with a mean of 90.5.

Step-by-step explanation:

The mean is the sum of all scores divided by the number of students.

The mean score of 15 students was 82.0

This means that there are 15 students and the sum of the scores is 15*82 = 1230.

(a) Another student joins, and the mean becomes 82.5. What is the new student's score?

Now there are 16 students, the sum of the scores is 1230 + x and the mean is 82.5. So

$82.5 = \frac{1230 + x}{16}$

$1230 + x = 16*82.5$

$x = 1320 - 1230$

$x = 90$

The new student's score is 90.

(b) Suppose instead that two students join, taking the average from 82 to 83. What could their scores be, if they are restricted to be integer (i.e. whole) numbers?

Now there are 2 new students, so 17 in total. The mean score of the new students is 2x. The total score of the class is 1230 + 2x and the mean is 83. So

$83 = \frac{1230 + 2x}{17}$