The undergraduate office at Eli Broad College has 3 academic advisors. Students who want to be talk to an advisor arrive at the rate of 12 per hour according to a Poisson distribution. If all three advisors are busy, Broad students wait for one of the advisors to become available. The average time that a student spends with an advisor is 10 minutes. The standard deviation of the time with an advisor is 2. 4 minutes. On average, how many Broad students are waiting to see an advisor

Answer:

B. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.

E. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.

Step-by-step explanation:

P1: 12^2+15^2=20^2  144+225=400  369=400

P2: 16^2+30^2=34^2  256+900=1156  1156=1156

P3: 20^2+21^2=29^2  400+441=841  841=841

P4: 18^2+20^2=26^2  324+400=676  724=676

So the answers are B and E

Answer:

b and e

Step-by-step explanation:

Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.

Step-by-step explanation:

Step 1

The perimeter of a rectangular atrium is given as 2( l+b)

The perimeter of a rectangular atrium is 300 yards.

Let the width be represented as x

such that the

The length of the garden which is ninety-six yards more than the width is expressed as x+ 96

and the expression to solve for length and width will now be

Step 2

Perimeter = 2(l+b) = 2l + 2b

300=2( x+96) + 2 x

300= 2x+ 192 + 2x

300= 192+ 4x

300-192=4x

108=4x

x=108/4

x=27

width = 27 yards

length = x+ 96= 27 +96=123 yards

Answer: 1/125cm³

Step-by-step explanation:

The volume of a cube is gotten by multiplying the side length given by itself thrice.

Since the cube in the question has a side length of 1/5cm, the volume of the cube will be:

= 1/5 × 1/5 × 1/5

= 1/125cm³

Therefore, the volume of the cube is 1/125cm³

Answer:

y=7x+22

Step-by-step explanation:

the equation of a line is y=mx+b

we know that 7 is m so

y=7x+b

but we got to find b

so we use the point (-3,1) and substitute in our equation

1=7(-3)+b

lets find b

1= -21+b

22=b

okay then we found b now lets go to our original problem and substitute b

y=7x+22

I hope this helped you :)

Answer:

tan = opposite/adjacent

tan 40 = LY/FY

Step-by-step explanation:

Answer:

-2.3F-20

Step-by-step explanation:

-2.7F + 0.4F - 11 - 9 = -2.3F-20

Answer:

I think when you collect all the like terms the equation comes out to be

Step-by-step explanation:

-2.3F - 20

Answer:

C

Step-by-step explanation:

Comment

This is called the difference of squares. Both sides of the minus sigh must be perfect squares or able to be factored in such a way that you are left with perfect squares.  36x^2 is a perfect square. If you take its square root, you get √36x^2 or 6x. That makes B and D incorrect. So what about A and C?

A:The left side of 36x^2 is correct, but the right side is not. The left side of 36x^2 has a square root of 6x.

The right side has been left alone and it shouldn't be.

The 9 is a perfect square. Its square root is 3. That makes C the answer.

Answer:m= 7.

Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7

Answer: m = 7

Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.

In this problem, since 1 is being added to m, in order to get m

by itself, we must subtract 1 from the left side of the equation.

If we subtract 1 from the left side of the equation, remember that

we must also subtract 1 from the right side of the equation.

So on the left, +1 and -1 cancel each other out

and on the right, 8 - 1 simplifies to 7.

So m = 7.

Answer: B) 27 grams in all

Step-by-step explanation:

Given: The weight of each bright blue poisonous frog = 3 grams

By using the multiplication operator (x)

Then, the weight of 9 such frogs  = 9 x (Weight of each frog)

⇒ The weight of  9 frogs  = 9 x 3 grams

⇒ The weight of  9 frogs  = 7 grams

Therefore, the correct option is B) 27 grams in all

Answer:

140 ounces

Step-by-step explanation:

We use ratio and proportion.

[tex]\frac{11}{22} =\frac{70}{x}[/tex]

Cross multiply, and you get:

11x = 1,540

Divide both sides by 11. Thus:

140 ounces.

Answer:

140

Step-by-step explanation:

70/11 = 6.363636364

6.363636364 * 22 = 140

Answer:

17/60 yards of scarf

Step-by-step explanation:

If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit

To solve the above question:

5 friends = 1 5/12 yards

1 friend = x yards

Cross Multiply

5 × x = 1 × 1 5/12 yards

x = 17/12 yards ÷ 5

x = 17/12 yards × 1/5

x = 17/60 yards of scarf

Answer:

its D

Step-by-step explanation:

1x5/12 + 5/12 1 X 5 = 5  SO 1 X 5/12 IS D

Answer:

700 feet per hour is the rate of descent

Step-by-step explanation:

3 hours is 2100 so 2100/3 is 700 which is per hour

Answer:

150 shld be the answer ... Option E

Step-by-step explanation:

MARK ME THE BRAINLIEST PLZZZZ

Answer:

-4.24264069; -4.2 (nearest tenth); -4.24 (nearet hundreths)

Step-by-step explanation:

square root of 72 = 8.48528137 or 8.5 (rounding to tenths)

square root of 2 = 1.41421356 or 1.4

square root of 128 = 11.3137085 or 11.3

5 inch is the width, 8 inch is the length.

Find to scale between the two widths:

10 /5 = 2 the larger photo is 2 times larger,

Multiply the known length by 2:

8 x 2 = 16

The length would be 16

Answer:

length = 4

Step-by-step explanation:

if the width of 10 is the same as a 5 by 8 photographer u can set up a proportion.

10/5 = x/8

Answer:

area = 472 in^2

Step-by-step explanation:

19 x 8 x 3 = 456 in^2 for large rectangle

1/2 x 2 x 8 x 2 = 16 in^2 for triangles

area = 456 + 16 = 472 in^2

Answer:

24 miles

Step-by-step explanation:

Distance formula (d):

D = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Home to library

(-4, 1) ; (-4, 9)

D1 = sqrt((-4 + 4)^2 + (9 - 1)^2)

D1 = 8

Library to park :

(-4, 9) ; (2, 1)

D1 = sqrt((2 + 4)^2 + (1 - 9)^2)

D3 = 10

Park to home :

(2, 1) ; (-4, 1)

D1 = sqrt((-4 - 2)^2 + (1 - 1)^2)

D2 = 6

Answer:

The line of the graph will be going down 2/1 and will pass through the y intercept at 9.

Step-by-step explanation:

Hope this helps a little.

Answer:

this

Step-by-step explanation:

use desmos if u need more help

Answer:

5 or 6

Step-by-step explanation:

So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.

then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:

Since the time is 6/x-2 or 15/x

15/x-6/x-2=1

multiply everything to get a common denominator then cancel it out to get

(15x-30)-6x=x^2-2x

11x-30=x^2

x^2-11x+30=0

(x-5)(x-6) is factored form.

so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h

Answer:

399

Step-by-step explanation:

9+4^3*(20-8)/2+6

9+(4)(4)(4)(12)/2+6

9+64(12)/2+6

9+768/2+6

15+768/2

15+384

399

Answer: C. Never

Similar polygon are never different shapes. They are always the same shape. As usual, read the question carefully before choosing an answer.

Step-by-step explanation: hope this help:)

Answer:

2.2 i thinkkk

Step-by-step explanation:

PLLSSS OMGG IM CRYINGG THE LITTLE HATT

Answer:

x=5

Step-by-step explanation:

since two sides are congruent, the two unknown angles are congruent.

All triangle angles total 180 degrees.

so:

180-88=92

92/2=46

9x+1=46

9x=45

x=5

Answer:

The answer is x=5