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grin007 [14]
2 years ago
12

Hello please help as I do not understand and if it’s possible please include pictures. Spam or just random numbers will be repor

ted please help :)) SLOPE BTW!!

Mathematics
1 answer:
HACTEHA [7]2 years ago
5 0
The equation will be y = -3/2x + 4. you can use the form y = mx + b to find the equation. the slope of the line (m in the equation) is -3/2. you can count from one point to another point by following rise over run. count 6 units down from the point on the far left and 2 units right. you get -6/2, which reduces to -3/2. the b part of the equation is your y-intercept, which is where the line crosses the y-axis. in this case, the y-intercept is (0, 4), so the b value will be 4.
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A manufacturing plant earned $80 per man hour of labor when it opened. Each year, the plant earns an additional 5% per man hour.
Mekhanik [1.2K]

Answer:

The amount that plant earns per man hour after (t) years it open is           $80 (1.05)^{\textrm t} .

Step-by-step explanation:

Given as :

The earning of  manufacturing plant when it opened = $ 80 per man hour

The rate of plant earning per man hour  = 5 %

Let The earning of plant after t years = A( t )

So,

The earning of plant after t years = initial earning × (1+ \dfrac{\textrm rate}{100})^{\textrm Time}

Or, A(t) = $ 80 × (1+ \dfrac{\textrm 5}{100})^{\textrm t}

or, A(t) = $ 80 × (1.05)^{\textrm t}

Hence The amount that plant earns per man hour after (t) years it open is   $80 (1.05)^{\textrm t} . Answer

3 0
3 years ago
Read 2 more answers
A poker hand is a set of 5 cards randomly chosen from a deck of 52 cards. Find the probability of a (a) royal flush (ten, jack,
zysi [14]

Answer:

a) 0.000001539

b) 0.00001385

c) 0.0002401

d) 0.001441

e) 0.001966

Step-by-step explanation:

Since there are 52 deck of cards, and the hand of the poker is 5 set, then the total number of hands achievable would be

T = 52! / 5!(52 - 5)!

T = 52! / 5! 47 !

T = 2598560 possibilities.

a) There are 4 ways of getting a royal flush. So the probability of getting a royal flush is

4 / 2598560 =

0.000001539

b) There are 9 hands from the 5 card hands, and also, there are 4 possible suits. So then, the probability is

9 * 4 / 2598560 =

36 / 2598560 =

0.00001385

c) There are 13 possible ways to get a four of a kind, since there are 5 cards with the poker, the remaining would be taken from the 48 remaining cards, thus

13 * 48 / 2598560 =

624 / 2598560 =

0.0002401

d) 3 of a kind in conjunction with a pair is needed to form a full house. This 3 of a kind can be gotten from any 4 suits. Then again, the pair has two cards with the same face value. So,

4! / 2! (4 - 2)! =

4! / 2! 2! = 6

That means, there are 6 possible ways to get our needed suits. Then, the probability of getting a full house is

13 * 4 * 12 * 6 / 2598560 =

3744 / 2598560 =

0.001441

e) To get a flush, all the 5 cards in the hand needs to have the same suit. Now, there are 13 different types of cards with only 5 cards being in the hand, thus

13! / 5! (13 - 5)! =

13! / 5! 8! = 1287

Now, recall that the question specifically asked us not to include any straight. There are 10 straights that can be gotten, and thus, we subtract it.

1287 - 10 = 1277

Since there are 4 suits, the probability of getting a flush is

1277 * 4 / 2598560 =

5108 / 2598560 = 0.001966

5 0
3 years ago
Factor the polynomial completely <br> 24x^2y-6y
Maksim231197 [3]
Divide by greatest common factor.
Answer simplified should be 6y(4x^2-1)
Rewrite in the form where a^2-b^2

Answer
6y(2x+1)(2x-1)
7 0
3 years ago
What is 12.55 to the nearest 1 decimal place
yaroslaw [1]
One decimal place means one place after the decimal point, therefore you should round appropriately to get to one place after the decimal point.

The answer would therefore be 12.6 <span />
4 0
3 years ago
If a new data point at 12 is added to the graph , which will be true ?
Orlov [11]

Answer:

3. The mean will increase more than median, but both will increase.

Step-by-step explanation:

We have been given a dot plot. We are asked to find the true statement, if a new data point at 12 is added to our given dot plot.

Since we know that an large valued outlier affects mean more than median, so mean will increase more than median.

Let us check this using our given information. Our data set before adding 12 is:

1, 2, 2, 2, 3, 4, 4, 4, 5.

We can see that our data set has odd number (9) of data points, so median will be the value of 5th term, that is 3.

\text{Mean}=\frac{1+2+2+2+3+4+4+4+5}{9}

\text{Mean}=\frac{27}{9}=3

Therefore, mean of our data set is 3.

Upon adding a data point at 12, our new data set will be:

1, 2, 2, 2, 3, 4, 4, 4, 5, 12.

Now our data set has 10 terms, so median will be the average of 5th and 6th term.

\text{Median}=\frac{3+4}{2}

\text{Median}=\frac{7}{2}=3.5

Therefore, the median of new data set will be 3.5.

\text{Mean}=\frac{1+2+2+2+3+4+4+4+5+12}{10}

\text{Mean}=\frac{39}{10}

\text{Mean}=3.9

Therefore, mean of new data set will be 3.9.

Upon looking at our given statements we can see that 3rd statement is true as mean and median both increased after adding 12 to our data set, but mean increased more that median. Mean and median before adding 12 was 3; but after adding 12 median became 3.5, while mean became 3.9 (which is greater than mean).



3 0
2 years ago
Read 2 more answers
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