Solve y = ax? + c for x.

A baseball player comes up to bat 3 times during a league game. He either gets a hit or gets an out. How many different combinat

Stella [2.4K]

Answer:

8 different combinations are possible.

Step-by-step explanation:

Here, we have 2 different combinations for each time.

And the player comes out to bat 3 times.

So, total number of combinations are:

$2^{3}$ i.e. a total of 8 number of times.

Let a hit is termed as 'H' and an out is termed as 'O'.

Total combinations are:

{HHH, HHO, HOH, HOO, OHH, OHO, OOH, OOO}

Kindly have a look at the tree diagram attached in the answer area.

In starting, there are 2 combinations possible, i.e. 'O' and 'H'.

After 'O' , 2 possible i.e. 'O' and 'H'.

After 'H' , 2 possible i.e. 'O' and 'H'.

and so on....

8 0

3 years ago

Please help me answer this question its urgent

yarga [219]

Answer:

Step-by-step explanation:

1). $\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+2\frac{2}{9}n$

= $\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+(2+\frac{2}{9})n$

= $(\frac{2}{3}-\frac{3}{4}+\frac{1}{6})n+(2+\frac{2}{9})n$

= $(\frac{8}{12}-\frac{9}{12}+\frac{2}{12})n+(2+\frac{2}{9})n$

= $\frac{(8-9+2)}{12}n+(2+\frac{2}{9})n$

= $\frac{1}{12}n+(2+\frac{2}{9})n$

= $(\frac{1}{12}+2+\frac{2}{9})n$

= $(\frac{3}{36}+\frac{72}{36}+\frac{8}{36})n$

= $\frac{83}{36}n$

= $2\frac{11}{36}n$

2). $\frac{2}{5}g-\frac{1}{6}-g+\frac{3}{10}g-\frac{4}{5}$

= $(\frac{2}{5}-1+\frac{3}{10})g-(\frac{1}{6}+\frac{4}{5})$

= $(\frac{4}{10}-\frac{10}{10}+\frac{3}{10})g-(\frac{5}{30}+ \frac{24}{30})$

= $(\frac{4-10+3}{10})g-(\frac{5+24}{30})$

= $\frac{-3}{10}g-\frac{29}{30}$

= $-\frac{3}{10}g-\frac{29}{30}$

3). $i+6i-\frac{3}{7}i+\frac{1}{3}h+\frac{1}{2}i-h+\frac{1}{4}h$

= $7i-\frac{3}{7}i+\frac{1}{2}i+\frac{1}{3}h-h+\frac{1}{4}h$

= $(7-\frac{3}{7}+\frac{1}{2})i+(\frac{1}{3}-1+\frac{1}{4})h$

= $(\frac{98}{14} -\frac{6}{14}+\frac{7}{14})i+(\frac{4}{12}-\frac{12}{12}+\frac{3}{12})h$

= $(\frac{98-6+7}{14})i+(\frac{4-12+3}{12})h$

= $\frac{99}{14}i-\frac{5}{12}h$

6 0

3 years ago

Your crew can pave two driveways in a day. You work five days per week but take off 2 weeks each year for holidays and vacations

k0ka [10]

According to Philippine Payroll Regulations and Information, there will be a total of 247 working days for all employees working from Mondays to Fridays and considered Saturdays and Sundays as rest days. If the two weeks off is referring to employees working days only, it means employee can file a leave for 14 equivalent days off. Computations will be Total driveways= (247 days-14 days off) * 2 driveways per day and the answer is 466 driveways.

5 0

3 years ago

Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.

Scilla [17]

Answer:

16 degrees

Step-by-step explanation:

<u><em>The question is</em></u>

Find the measure of angle R

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

In this problem

$m\angle N+m\angle R=109^o$

we have

$m\angle N=93^o$

substitute

$93^o+m\angle R=109^o$

$m\angle R=109^o-93^o=16^o$

7 0

3 years ago

At a store , 24 bottles of water and 6 bags of chips costs $23.40. Five bottles of water and two bags of chips cost $6.60. What

vagabundo [1.1K]

24w+6c=$23.40

5w+2c=$6.60

So you have to find c (chips) first. You have to make the number of chips in both equations cancel each other.

-3(5w+2c)=-3($6.60)
-15w-6c=$-19.80

Then subtract to get one formula
24w + 6c = $23.40
-15w - 6c = $-19.80

9w = $3.60
w=$.40

To check your answer, find how much one bag of chips costs:
5($.40) + 2c = $6.60
$2.00 + 2c = $6.60
2c = $4.60
c=$2.30

Plug your value for one water and one bag of chips into the formula:
5($.40) + 2($2.30)
$2.00 + $4.60
=$6.60

Then plug your values into the original problem:
24($.40) + 6($2.30)
$9.60 + $13.80
=$23.40

4 0

3 years ago

Read 2 more answers