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2 years ago

8

Based on the results shown in the table, how many white marbles would one expect to draw in a total of 50 draws? (hint:set up a

proportion)

1 answer:

Dovator [93]2 years ago

8 0

The answer to your question is 10

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The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19

lisabon 2012 [21]

Answer:

$39,223\ rabbits$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$y=a(1+r)^x$

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

$a=9,100$

substitute

$y=9,100(1+r)^x$

For the year 1998

the number of years is equal to

x=1998-1991=7 years

so

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

$18,000=9,100(1+r)^7$

$(18,000/9,100)=(1+r)^7$

elevated both sides to 1/7

$(1+r)=1.1023$

$r=0.1023$

therefore

$y=9,100(1+0.1023)^x$

$y=9,100(1.1023)^x$

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

$y=9,100(1.1023)^{15}$

$y=39,223\ rabbits$

6 0

2 years ago

What is the midpoint of the segment shown below (-11,0) (9,-1)

marissa [1.9K]

Answer:

(-1, -1/2)

Step-by-step explanation:

M= (Xa+Xb/2, Ya + Yb/2)

M= -11+9/2 , 0 + -1/2

M = -2/2, -1/2

M=(-1, -1/2)

6 0

2 years ago

Read 2 more answers

Stephen's lunch bill is currently at $8.23.Stephen orders a fruit salad for take-out ,and wants to leave$2.25 as a tip for his s

emmainna [20.7K]

Stephen will receive $4.52 in change

8 0

2 years ago

Which value of $y$ makes the equation $3y+8=7y+11$ true?

valentinak56 [21]

value of y which satisfies equation $3y+8=7y+11$ is $y= \frac{-3}{4}$ .

<u>Step-by-step explanation:</u>

We have , 3y+8=7y+11 . We need to find which value of y satisfies this equation 3y+8=7y+11 :

$3y+8=7y+11$

⇒ $3y+8=7y+11$

⇒ $(3y+8)-3y=(7y+11)-3y$

⇒ $8=4y+11$

⇒ $4y+11 = 8$

⇒ $(4y+11)-11 = 8-11$

⇒ $4y= -3$

⇒ $\frac{4}{4}y= \frac{-3}{4}$

⇒ $y= \frac{-3}{4}$

Therefore, value of y which satisfies equation $3y+8=7y+11$ is $y= \frac{-3}{4}$ .

8 0

2 years ago

What's 4/5 as a decimal. Thank you. :)

vesna_86 [32]

Answer: .8

Step-by-step explanation: 4/5 = .8

7 0

2 years ago

Read 2 more answers