What is 7k-7 x 3k-2 ? I came up with 21x/-5.

Pls help it’s due right now

gulaghasi [49]

Answer:

y + 11 = 14

Step-by-step explanation:

5 0

3 years ago

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The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of

romanna [79]

Answer: a) $\dfrac{3}{874}$

b) $\dfrac{30}{3059}$

c) $\dfrac{3575}{12236}$

Step-by-step explanation:

Given : Number of students : 11

Number of faculty members : 13

Total persons : $11+13=24$

Total number of ways to structure a jury of six people from a group of 24 people :-

$^{24}C_{6}=\dfrac{24!}{6!(24-6)!}=134596$

a) Number of ways of selecting a jury of all students :-

$^{11}C_{6}=\dfrac{11!}{6!(11-6)!}=462$

Then , the probability of selecting a jury of all students :-

$\dfrac{462}{134596}=\dfrac{3}{874}$

b) Number of ways of selecting a jury of all faculty :-

$^{13}C_{6}=\dfrac{13!}{6!(13-6)!}=462$

Then , the probability of selecting a jury of all students :-

$\dfrac{1716}{134596}=\dfrac{30}{3059}$

c) Number of ways of selecting a jury of two students and four faculty :-

$^{11}C_{2}\times^{13}C_{4}=\dfrac{11!}{2!(11-2)!}\times\dfrac{13!}{4!(13-4)!}=39325$

Then , the probability of selecting a jury of all students :-

$\dfrac{39325}{134596}=\dfrac{3575}{12236}$

3 0

3 years ago

Scarlett is working two summer jobs, making $13 per hour landscaping and making $8 per hour clearing tables. In a given week, sh

dolphi86 [110]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ----> the number of hours landscaping

y ----> the number of hours clearing tables

we know that

she can work a maximum of 12 total

so

$x+y\leq 12$ ----> inequality A

she must earn a minimum of $120

so

$13x+8y\geq 120$ ----> inequality B

Solve the system of inequalities by graphing

The solution is the triangular shaded area

see the attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (the ordered pair lie in the shaded area of the solution set)

One possible solution is the point (10,1)

The point (10,1) lie in the shaded area

That means

The number of hours landscaping is 10 and the number of hours clearing tables is 1

5 0

3 years ago

mark is making a quilt with his grandmother each row of the quilt has 6 squares. there are 8 rows. 1/2 of the squares are blue.

Paladinen [302]

6 squares * 8 rows = 48

1/2 of the squares are blue so 48 divided by 2= 24

you can also do it this way 6 squares in a row 1/2 are blue so 3 are blue

3 blue squares * 8 rows = 24 blue squares

3 0

3 years ago

A semicircular flower bed has a diameter of 3 metre.

vesna_86 [32]

All you have to do is find the area of the flower bed if it was a circle using (pi)r^2 and then divide by 2,

d=2r 3=2r, r=1.5

the area of the circular flower bed is (pi)(1.5)^2

Semicircular : [ (pi)(1.5)^2 ] / 2

This, rounded to the nearest decimal place is 3.5m^2

8 0

4 years ago