Basketball Points

125 tickets were sold for the jazz band concert for a total of $1,022. Students tickets cost $6 each, and general admission tick

rodikova [14]

Answer:

Number of student tickets sold are 57 and general tickets sold are 68.

Step-by-step explanation:

Let the number of student tickets = x and the number of general tickets = y.

It is given that in total 125 tickets were sold.

So, we have,

$x+y=125$

Also, students tickets is sold for $6 each and the general tickets are sold for $10 each.

Since, the total cost of the tickets is $1022.

So, we get,

$6x+10y=1022$

Thus, the system of equations obtained is,

x + y = 125 ........................(1)

6x + 10y = 1022

Multiply equation (1) by 6 gives us,

6x + 6y = 750 ............................(2)

6x + 10y = 1022 .........................(3)

Subtact (2) from (3), we get,

10y - 6y = 1022 - 750

i.e. 4y = 272

i.e. y= 68.

So, equation (1) gives,

x = 125 - y

i.e. y = 125 - 68

i.e. y = 57

Hence, the number of student tickets sold are 57 and general tickets sold are 68.

3 0

2 years ago

discrete random variable X has the following probability distribution: x 13 18 20 24 27 P ( x ) 0.22 0.25 0.20 0.17 0.16 Compute

tatuchka [14]

Answer:

(a) P(X = 18) = 0.25

(b) P(X > 18) = 0.53

(c) P(X ≤ 18) = 0.47

(d) Mean = 19.76

(e) Variance = 22.2824

(f) Standard deviation = 4.7204

Step-by-step explanation:

We are given that discrete random variable X has the following probability distribution:

X P (x) X * P(x) $X^{2}$ $X^{2}$ * P(x)

13 0.22 2.86 169 37.18

18 0.25 4.5 324 81

20 0.20 4 400 80

24 0.17 4.08 576 97.92

27 0.16 4.32 729 116.64

(a) P ( X = 18) = P(x) corresponding to X = 18 i.e. 0.25

Therefore, P(X = 18) = 0.25

(b) P(X > 18) = 1 - P(X = 18) - P(X = 13) = 1 - 0.25 - 0.22 = 0.53

(c) P(X <= 18) = P(X = 13) + P(X = 18) = 0.22 + 0.25 = 0.47

(d) Mean of X, $\mu$ = ∑X * P(x) ÷ ∑P(x) = (2.86 + 4.5 + 4 + 4.08 + 4.32) ÷ 1

= 19.76

(e) Variance of X, $\sigma^{2}$ = ∑ $X^{2}$ * P(x) - $(\sum X * P(x))^{2}$

= 412.74 - $19.76^{2}$ = 22.2824

(f) Standard deviation of X, $\sigma$ = $\sqrt{variance}$ = $\sqrt{22.2824}$ = 4.7204 .

8 0

3 years ago

Which juice container is larger: 2 liters or 1 galon

34kurt

Its a 1 gallon because 2 litera is really small

8 0

3 years ago

Read 2 more answers

Someone pls help!!!!

Temka [501]

Answer:

see below for the reflection
(2, -5)

Step-by-step explanation:

Reflection across the y-axis changes the sign of the x-coordinate. What was 2 units left of the y-axis is reflected to be 2 units right of the y-axis. The y-coordinate does not change.

(x, y) ⇒ (-x, y)

P(-2, -5) ⇒ P'(2, -5)

6 0

2 years ago

What is 11111111 in word form

Vadim26 [7]

Based On Extensive Research- my answer is:

eleven million, one hundred eleven thousand, one hundred eleven

If you have any question please message me without hesitation
Good luck! :)

7 0

2 years ago