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3 years ago

What is h(6)? A. 22 B. 6 C. 5 D. 14

Mathematics

2 answers:

ollegr [7]3 years ago

6 0

The answer is D because you multiply 3*6 and that gives you 18 then subtract 4 leaving 14

I am Lyosha [343]3 years ago

3 0

The answer is D. This is because you substitute x for 6. This gives you the new equation of h(6)=3(6)-4. 3(6)=18 and 18-4 =14

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Regal theater in Tikahtnu sold 548 tickets to Moana on Sunday. A adult's ticket was $6.50 while a child's ticket was $3.50. In t

Usimov [2.4K]

Answer:the number of adult tickets that were sold is 321

the number of adult tickets that were sold is 227

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of adult tickets that were sold.

Regal theater in Tikahtnu sold 548 tickets to Moana on Sunday. This means that

x + y = 548

A adult's ticket was $6.50 while a child's ticket was $3.50. In total, they took in $2881 in sales of these ticket. This means that

6.5x + 3.5y = 2881 - - - - - - - - -1

Substituting x = 548 - y into equation 1, it becomes

6.5(548 - y) + 3.5y = 2881

3562 - 6.5y + 3.5y = 2881

- 6.5y + 3.5y = 2881 - 3562

- 3y = - 681

y = - 681/-3 = 227

Substituting y = 227 into x = 548 - y, it becomes

x = 548 - 227 = 321

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3 years ago

Tracy is filling the box with unit cubes that are 1 inch (in.) on each side. She will fill the box with cubes without any gaps o

egoroff_w [7]

Answer:48

Step-by-step explanation:

7 0

3 years ago

Let X and Y be two independent random variables following beta distributions Beta(120, 2020).

Alla [95]

With $X,Y\sim\mathrm{Beta}(120,2020)$ , we have identical PDFs

$P(X=x)=\dfrac{x^{119}(1-x)^{2019}}{B(120,2020)}$

for $0$ , and 0 otherwise, where

$B(a,b)=\dfrac{\Gamma(a)\Gamma(b)}{\Gamma(a+b)}$

Since $X,Y$ are independent, the joint PDF is

$P(X=x,Y=y)=P(X=x)P(Y=y)=\dfrac{(xy)^{119}((1-x)(1-y))^{2019}}{B(120,2020)^2}$

for points $(x,y)$ in the unit square, and 0 otherwise.

1. The distribution is continuous, so $P(X=0.5)=\boxed0$ .

2. $X+3$ is the region in the $x,y$ plane contained within the unit square and above the line $y=\frac{x+3}2$ . This region is empty, because this line lies above the square altogether, so $P(X+3$ .

3. $X>Y$ is the region in the same square below the line $y=x$ . So we have

$P(X>Y)=\displaystyle\int_0^1\int_0^xP(X=x,Y=y)\,\mathrm dy\,\mathrm dx=\boxed{\frac12}$

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3 years ago

3a-2b=14. 3a+2b=28<br>..

GaryK [48]

Answer:

a = 7

b = 3 1/2

Step-by-step explanation:

if you add the equations together then the 'b' will zero out

6a = 42

a = 7

substitute 7 for 'a' to solve for 'b'

3(7) - 2b = 14

21 - 2b = 14

-2b = -7

b = 7/2 or 3 1/2

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3 years ago

What is the value of the x variable in the solution to the following system of equations? 2x - 3y = 3

scZoUnD [109]

Answer:

(0,-1)

value x is 0

value y is -1

8 0

3 years ago