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2 years ago

Albert thought of a number, added 5, multiplied the result by 2, took away 6 and then divided by 2 to give an answer of 8

2 answers:

7 0

To find Albert's original number we have to work backwards. So everything albert did we have to do the reverse.

Starting with 8:

8*2 = 16 + 6 = 22/2 = 11- 5 = 6

Now, lets check it and start from the beginning with this new number (6), and follow everything Albert did and we will get 8.

6+5= 11*2= 22-6 = 16/2 = 8

ValentinkaMS [17]2 years ago

4 0

The answer is 6 ....you just have to do the steps backwards and it will result faster.
6+5=11
11*2=22
22-6=16
16/2=8

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The population of a parish is growing with an annual percentage rate compounded continuously. The population reaches 1.1 times i

Sauron [17]

Answer:

4.8%

Step-by-step explanation:

The population that grows with an annual percentage rate compounded continuously is given by: H = H° e^rt

Let the population be represented by H

The population reaches 1.1 times its previous size in 2 years.

So when t=2,

H = 1.1 H°

We substitute to obtain:

1.1 H° = H° e^r2

1.1 = e^2r

Take natural log to get:

In 1.1 = 2r

r = In 1.1 /2

r = 0.0477

Therefore the annual percentage rate is 4.8%

7 0

2 years ago

Read 2 more answers

Drag each tile to the correct box.

Umnica [9.8K]

Answer:

Emma ⇒ IQR = 3.5

Sally ⇒ IQR = 3

Olivia ⇒ IQR = 2.5

Emma - Sally - Olivia

Step-by-step explanation:

Emma's Scores:

6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14

LQ = (9 + 9) ÷ 2 = 9

UQ = (12 + 13) ÷ 2 = 12.5

IQR = 12.5 - 9 = 3.5

Sally's Scores:

6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14

LQ = (7 + 8) ÷ 2 = 7.5

UQ = (10 + 11) ÷ 2 = 10.5

IQR = 10.5 - 7.5 = 3

Olivia's Scores:

6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14

LQ = (7 + 8) ÷ 2 = 7.5

UQ = (10 + 10) ÷ 2 = 10

IQR = 10 - 7.5 = 2.5

Emma - Sally - Olivia

6 0

2 years ago

Read 2 more answers

You are playing a board game with a friend. She owns and has developed the tiles Green Gardens and Silver Sidewalks. If you roll

IgorC [24]

Answer:

The expected value can be calculated as:

Es = x₁*p₁ + x₂*p2 + .....

where xₙ is the event (the amount of money that you win or lose, and pₙ is the probability for the event)

for example, in a 10 side dice, the probability of obtaining a specific number is 1/10.

we have a d10 i guess (a dice with 10 sides, 1 to 10)

if you roll from 1 to 7, nothing happens.

If you roll an 8, you lose $1500

if you roll a 9, you lose $75

if you roll a 10, you lose $2000 (and the game)

the expected value is,

Es = 1/10*(7*0 - 1*$1500 - 1*$75 - 1*$2000) = -$357

in the second case, you start paying $500.

if you roll a 7, you must pay $1000, if else, nothing happens.

Then the expected value is

Es = -$500 - 1/10*(-1*$1000 + 9*$0) = -$600

So the expected value is smaller in this case, so the deal is not fair

7 0

2 years ago

If someone wants to ask a question that doesn't have a lot is variability, which answer should it be?

nikklg [1K]

I believe its C or D

8 0

2 years ago

Given: PRST square

Zigmanuir [339]

Answer:

7a²/16

Step-by-step explanation:

Area of the triangle PTS

½ × a × a

a²/2

Length of PS:

sqrt(a² + a²)

asqrt(2)

Length of MS:

¼asqrt(2)

Triangles MCS and TPS are similar

With sides in the ratio:

¼asqrt(2) : a

sqrt(2)/4 : 1

Area of triangle SMC:

A/(a²/2) = [(sqrt(2)/4)]²

2A/a² = 1/8

A = a²/16

Area of PTMC

= a²/2 - a²/16

= 7a²/16

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers