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Slav-nsk [51]
3 years ago
13

In basketball, the number of points you score is given by 3x + 2y + 1z3x+2y+1z where xx is three-pointers, yy is two-pointers, a

nd zz is free throws (one-pointers). What is the total number of points scored by a player who makes 33 three-pointers, 55 two-pointers, and 66 free throws?
Mathematics
2 answers:
viva [34]3 years ago
7 0

Answer: 25 points

Step-by-step explanation:

Here, the expression that shows the total number of points scored by a player is,

3 x + 2 y + 1 z

Where, x = three-pointer,

y = two-pointer

z = one-pointer,

Here, x = 3, y= 5 and z = 6,

Hence, the total number of points = 3 x + 2 y + 1 z = 3 × 3 + 2 × 5 + 1 × 6 = 9 + 10 + 6 = 25

ExtremeBDS [4]3 years ago
6 0

Answer:

The total number of points scored by the player is 275.

Step-by-step explanation:

The number of points are represented by the expression is

T=3x+2y+1z

Where, x is three-pointers, y is two-pointers, and z is free throws.

It is given that a player makes 33 three-pointers, 55 two-pointers, and 66 free throws. The total number of points scored by that player is

T=3(33)+2(55)+1(66)

T=99+110+66

T=275

Therefore the total number of points scored by the player is 275.

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Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes
lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 680 trials

            r = number of success  

           p = probability of success which in our question is 0.55

So, it means X <em>~ </em>Binom(n=680, p=0.55)

<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>

  • Mean of Binomial Distribution is given by;

                    E(X) = n \times p

       So, E(X) = 680 \times 0.55 = 374

  • Standard deviation of Binomial Distribution is given by;

                   S.D.(X) = \sqrt{n \times p \times (1-p)}

                               = \sqrt{680 \times 0.55 \times (1-0.55)}

                               = \sqrt{680 \times 0.55 \times 0.45} = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0
3 years ago
-3(8n - 5) - 2n = 8n - 21
BigorU [14]

Answer:

Step-by-step explanation:

First you do the parentheses so the -3 x 8n= -24 and -3 x -5= 15

so it will look like this. -24n+15-2n=8n-21

Now combine like terms the -24n-2n.

-26n+15=8n-21 now subtract 8n now it will look like this

-34n+15=-21 now -15 from -21

-34n=-36

now if you want n by its self divide -34 and -36

7 0
3 years ago
If h (x) = {(-2,3), (0,4), (1,6), (2, 9)}<br><br> then what set of values represent h-1 (x) ?
vfiekz [6]

Answer:

h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}

Step-by-step explanation:

Given: h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}

To find: h^{-1}(x)

Solution:

A relation is said to be a function if each and every element of the domain has a unique image in the co-domain.

Inverse of a function exist if it is both one to one and onto.

h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}

h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}

7 0
2 years ago
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