a baseball team has won 15 games and lost 12 games. Based on the results, which is the best prediction for the number of wins the team will have if they play162 games

Answers

Answer 1
Answer: 90
15 is 5/9 of 27... 90 is 5/9 of 162
Answer 2
Answer: games lost : games played --> games lost/games played

12/15 =?/162
 cross multiply and divide. --> 12 x 162/15 =129.6 
that means, they will lose about 130 games out of 162. therefore they will win about 32 games. 

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Write in miles per hour. Round to the nearest tenth.3.7 mi/min
Prove that
Ryan created the two-way table below to describe his scoring in his soccer team’s wins and losses last season.Ryan’s Scoring in Wins and LossesTeam WonTeam LostRyan Scored64Ryan Did Not Score911In what percentage of the team’s wins did Ryan score a goal?20%40%60%67%

The table gives sales data for a stationery store in any given two weeks. It lists the probability of the number of items purchased in a single transaction and the average amount spent per transaction. Items Purchased in a Single Transaction Probability Average Amount Spent 2 0.35 $12 3 0.17 $20 4 0.33 $28 5 or more 0.15 $36 Based on the data provided, transactions with items are likely to bring in the most income during the next two-week transaction period.

Answers

From the given data:

Number of items | Probability of being purchased | Average amount spent
--------------------------------------------------------------------------------------------------
            2              |                     0.35                      |            $12
            3              |                     0.17                      |            $20
            4              |                     0.33                      |            $28
       5 or more      |                     0.15                      |            $36

In a sample space of 100 items being purchased, in a day:

For 2 items: 35 (12) = 420
For 3 items: 17 (20) = 340
For 4 items: 33 (28) = 924
For 5 or more items: 15 (36) = 540

If this sample trend would go on the for the next two weeks, then the transaction with 4 items would most likely bring in the most income during the said transaction period.

Answer:

Based on the data provided, transactions with  4 items are likely to bring in the most income during the next two-week transaction period.

Find the 4th term of (x+2)^10

Answers

(x + 2)¹⁰

Would take the terms in reducing powers of x, and increasing powers of 2.


1st term =        ¹⁰C₀ x¹⁰(2)⁰        = x¹⁰

Second term =  ¹⁰C₁ x¹⁰⁻¹(2)¹      =  ¹⁰C₁ x⁹(2)¹

Third term =    ¹⁰C₂ x¹⁰⁻²(2)²        =  ¹⁰C₂ x⁸(2)² 

Fourth term =  ¹⁰C₃ x¹⁰⁻³(2)³        =  ¹⁰C₃ x⁷(2)³


So we shall now simplify the fourth term which is = ¹⁰C₃ x⁷(2)³

ⁿCr = n! /( r!(n -r)! )

¹⁰C₃ = 10! /( 3!(10 -3)! ) = 10! / (3!*7!) =  (10 *9 * 8* 7!) / (3!*7!)

        =     10*9*8 / 3! = (10*9*8) / (3*2*1) = 120  


4th term = ¹⁰C₃ x⁷(2)³ = 120 *x⁷*(2)³ = 120*2³*x⁷

             = 120*8x⁷

             = 960x⁷

So the fourth term in reducing powers of x = 960x⁷

I hope this helped.

Calculate the length of AD in the triangle-based pyramid below.Give your answer to 2 d.p.
(Not drawn accurately)

Answers

Answer:

1782

Step-by-step explanation:

I got this by multiplying the sides and dividing the shapes and sizes to the power of pie  then added a +c and got 172

Answer:

70.42

Step-by-step explanation:

What is the inverse of f(x)=1/5x+3/5

Answers

Answer:

f^-1(x) = 1/(5x - 3) (See explanation for alternate answer)

Step-by-step explanation:

Assuming you meant f(x) = 1/(5x) + 3/5

y = 1/(5x) + 3/5

(I like to substitute x and y early on)

x = 1/(5y) + 3/5

5x = 1/y + 3

1/y = 5x - 3

f^-1(x) = 1/(5x - 3)

Assuming you meant f(x) = 1x/5 + 3/5

y = 1x/5 + 3/5

x = 1y/5 + 3/5

5x = y + 3

f^-1(x) = 5x - 3

Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side?

Answers

It must be larger than 25. The 3rd side of a triangle must always be greater than the sum of th other 2

The endpoint of MP are M(2,1) and P(14,10). If point K partitions MP in aratio of MK:KP=3:2, what are the coordinates of K?

Answers

Answer:  The required co-ordinates of he point K are (9.2, 7).

Step-by-step explanation:  Given that the the endpoint of MP are M(2,1) and P(14,10) and the point K partitions MP in the ratio of MK : KP = 3 : 2.

We are to find the co-ordinates of point K.

We know that

the co-ordinates of a point that divides the line joining the points (a, b) and (c, d) in the ratio m : n are given by

\left((mc+na)/(m+n),(md+nb)/(2)\right).

For the given division, m : n = 3 : 2.

Therefore, the co-ordinates of the point K are

\left((3*14+2*2)/(3+2),(3*10+2*1)/(3+2)\right)\n\n\n=\left((42+4)/(5),(30+2)/(5)\right)\n\n=\left((46)/(5),(35)/(5)\right)\n\n=(9.2,7).

Thus, the required co-ordinates of the point K are (9.2, 7).

2(2,1)(14,10)

(4,2) - (14,10)= (-10, -8)

The coordinates of K are (-10, -8).