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Cerrena [4.2K]
3 years ago
11

How many ways can five people, A, B, C, D, and E, sit in a row at a movie theater if A and B must sit

Mathematics
1 answer:
KengaRu [80]3 years ago
4 0

Answer:

The total number of ways A, B, C, D, and E can sit together is 5

Step-by-step explanation:

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1. Find the measure of each of the following angles in the rhombus
balu736 [363]

Answer:

it will be 44 degree because all angles in rhombus are equal

8 0
3 years ago
Shuffle a standard deck of playing cards and deal one card. define events j
grandymaker [24]
The question is missing some parts. To complete, J is the event of getting a jack and R is getting a red card.

The first question is to look for the P (J) and P (R) =
P (J) = 4/52 = 0.077; since there are only 4 jacks in a standard deck.

P (R) = 26/52 = 0.5; 26 because there are 13 each for diamonds and hearts.

The second question is to describe the event J and R in words. Then look for that event’s probability.

The card is a red jack or the card is red and a jack. P (J and R) = 2/52 = 0/038

The last question is explain why P (J or R) is not equal to P (J) + P (R). Then use the general addition rule to compute for P (J or R).

The event card is red and card is jack are not mutually exclusive meaning two or more events can happen simultaneously.  Thus one will count two cards twice unless using the general probability addition formula.

The probability for P (J ∪ R) is:P (J ∪ R) = 2 + 2 + 24 / 52 = 28/52 = 0.0538Or the other solution would be:P (J ∪ R) = 4/52 + 26/52 + 2/52 = 28/52 = 0.0538
7 0
3 years ago
The area of Brian’s rectangular garden, in square feet, can be found by using the expression 6(2x + 5y). Use the distributive pr
GalinKa [24]
The equivalent expression is 12x+30y and the area is 156 ft².

Using the distributive property, we have
6(2x+5y)
6*2x+6*5y
12x+30y

If x=3 and y=4,
12*3+30*4
36+120
156
5 0
4 years ago
What is the solution to the inequality -3x-42>3
Mrac [35]

Answer:

X<-15

Step-by-step explanation:

-3x-42>3 collect like terms

-3x>3+42

-3x>45 divide both side by -3

X<-15

Hint ; when you divide both side by a negative sign, the sign changes.

5 0
3 years ago
Find the area of the surface. the part of the surface y = 5x + z2 that lies between the planes x = 0, x = 1, z = 0, and z = 1.
Alex787 [66]

Parameterize the part of the surface we care about, denoted \mathcal S, by

\mathbf r(u,v)=\langle u,5u+v^2,v\rangle

with 0\le u\le1 and 0\le v\le1.

Then

\|\mathbf r_u\times\mathbf r_v\|=\|\langle5,-1,2v\rangle\|=\sqrt{4v^2+26}

The area is given by the surface integral

\displaystyle\iint_{\mathcal S}\mathrm dS=\int_{v=0}^{v=1}\int_{u=0}^{u=1}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv

=\displaystyle\int_{v=0}^{v=1}\sqrt{4v^2+26}\,\mathrm dv=\sqrt{\dfrac{15}2}+\dfrac{13}2\sinh^{-1}\sqrt{\dfrac2{13}}

7 0
4 years ago
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