How many rabbits will
there be 6 days later?
If a rabbits population starts at 150 rabbits and decreases 5% per day.

Answer:

a) The probability is 0.5557 = 55.57%.

b) The probability that a sample of 447 candies will have a mean of 0.8542g or greater is 0.9987 = 99.87%.

c) Yes, because there is a very large probability, of 99.87%, that the amount will be at least the one claimed on the label.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean weight of 0.8616g and a standard deviation of 0.0518

This means that [tex]\mu = 0.8616, \sigma = 0.0518[/tex]

a) If 1 candy is reandomly selected, find the probability that it weights more than 0.8542g.

This is 1 subtracted by the pvalue of Z when X = 0.8542. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.8542 - 0.8616}{0.0518}[/tex]

[tex]Z = -0.14[/tex]

[tex]Z = -0.14[/tex] has a pvalue of 0.4443

1 - 0.4443 = 0.5557

The probability is 0.5557 = 55.57%.

b) If 447 candies are reandomly selected find the probability that their mean weight is at least 0.8542 g.

Sample of 447 means that [tex]n = 447, s = \frac{0.0518}{\sqrt{447}} = 0.00245[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.8542 - 0.8616}{0.0245}[/tex]

[tex]Z = -3.02[/tex]

[tex]Z = -3.02[/tex] has a pvalue of 0.0013

1 - 0.0013 = 0.9987

The probability that a sample of 447 candies will have a mean of 0.8542g or greater is 0.9987 = 99.87%.

c) Given these results does it seem that the candy company is providing consumers with the amount claimed on the label?

Yes, because there is a very large probability, of 99.87%, that the amount will be at least the one claimed on the label.

The answer is a 441 cm area

Answer:

21

Step-by-step explanation:

65+86+104+2x+3x = 360

5x = 360-65-86-104

= 105

x =21

9514 1404 393

Answer:

  240

Step-by-step explanation:

The value is proportional to the fraction:

  n/(2/3) = 54/(0.15)

  n = (2/3)(54/0.15) = 240 . . . . . multiply by 2/3

2/3 of the number is 240.

Answer:

Yes it is a function

Step-by-step explanation:

It is a function because a mapping diagram can be used to represent a relationship between input values and output values. A mapping diagram represents a function if each input value is paired with only one output value.

Brainliest plz?

Answer:I need points

Step-by-step explanation:

adsfnsafasfj;ljfdksfas;lfkjdf;lksdfjsdlksfajf

Answer:

remove the zero pairs

so B

Step-by-step explanation:

Answer:

Given

apothegm [a]=3.2cm

since Pentagon has 5 equal side

perimeter [P]=5×4.6=23cm

now

Area of regular pentagon

A=1/2 aP=1/2×3.2×23=36.8cm²

Answer:

There is no triangle.

Step-by-step explanation:

Answer:

Your final answer is √32 miles.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Simple interest is based on the principal amount of a loan or deposit.

Answer:

A

Step-by-step explanation:

it rapresent the initial amount of expenses. the ticket sold were 0, but the profit was negative

Answer:

A

Step-by-step explanation:

Answer:

14 veces  Step-by-step explanation:

Answer:

it would be 45

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of toss  ( n ) = 100

probability of a head  in 1 toss ( p ) = 0.5

Hence : np = 100 * 0.5 = 50 > 5, also  n( 1-p) = 50 > 5

mean value ( μ ) = np  = 50

std = √ n(p)(1-p) = √100(0.5)(0.5) = 5

Using Normal approximation

P( 42 ≤ x ≤ 58 ) = P ( 42-0.5 ≤ x ≤ 58 + 0.5 )

= P( (41.5 - 50) / 5 < Z < (58.5 - 50) / 5 )

= P ( -1.7 < Z < 1.7 )

= 0.91087

Using Calculator to get the exact value

P( 42 ≤ x ≤ 58 ) = 0.911374

How far off is the Normal distribution (Absolute value of error )= | 0.911374 -  0.91087 |  = 0.000504

Answer: 27,600

Step-by-step explanation:

Ok, there could be two answers to this question. If the question is asking how much he would make if it was .15% more, the total would be 27,600/a year

However, if it's asking .15% of 24,000, your answer would be 3,600 ( as in the extra he would be making)

Step-by-step explanation:

hope it helps

see attached

Answer:

14

Step-by-step explanation:

(4*5)+(2*3)

20-6

14.

Answer:

pretty sure its 8.15

Step-by-step explanation:

Answer:

It takes the neighor's hose 3 hours to fill the pool and it takes Sully's hose 6 hours to fill the pool if each filled alone.

Step-by-step explanation:

This is a work problem, and the way these are done is to figure the amount that each can do based on how much can get done in a single hour.  

First thing, in order to have only one variable, we have to put one hose in terms of the other hose.  

We know that it takes the neighbor's hose a certain amount of time (there's our unknown) to fill the pool and that it takes Sully's hose that same time plus 3 hours.

neighbor's hose can get the job done in x time

Sully's hose can get the job done in x + 3 time

Now we will figure out how much each can do in a single hour.

If the neighbor's hose takes x hours to fill the pool, then it can get

of the pool filled in 1 hour.

If Sully's hose takes x + 3 hours to fill the pool, then it can get

of the pool filled in 1 hour.

The sum of these takes 2 hours total and 1/2 of the pool gets filled in 1 hour.

Our equation then is:

This equation states in words:

"the amount of the pool that the neighbor's hose can fill in an hour plus the amount of the pool that Sully's hose can fill in an hour will fill half the pool".

Solving for x will give us that time.

Begin to solve this by finding the LCM of those denominators and getting rid of the fractions by reducing.  The LCM will be 2x(x + 3).  Multiplying each term by that LCD looks like this:

In the first term the x's cancel out, in the second term the (x + 3) cancels out, and in the last term the 2's cancel out leaving us with:

and simplifying gives us:

This is a quadratic that will have to be factored to solve for those values of x.  Combine like terms and get everything on one side to get:

Factor this however you find easiest to get the values:

x = 3 hours and x = -2 hours

We all know that the 2 things in math that will never EVER be negative are times and distances/measures, so we can disregard the -2 and say that

x = 3 hours.  

To answer our question, then;

It takes the neighbor's hose 3 hours to fill the pool; it takes Sully's hose 3+3 hours = 6 hours to fill the pool.

Answer: 78

Step-by-step explanation:

9514 1404 393

Answer:

  $125 per car

Step-by-step explanation:

The problem statement tells you Jazmin's pay goes up by $125 for each car she sells. That rate of change is $125 per car.

9514 1404 393

Answer:

  40.5 square inches

Step-by-step explanation:

The figure appears to be a trapezoid with bases 15 inches and 12 inches, and a height of 3 inches. The formula for the area of a trapezoid is useful in this case:

  A = 1/2(b1 +b2)h

  A = (1/2)(15 in +12 in)(3 in) = (1/2)(27 in)(3 in) = 40.5 in²

The area of the composite figure is 40.5 square inches.

__

Additional comment

You get the same answer if you divide the figure into a rectangle and a triangle. The rectangle is 3 in high by 12 in long, so has an area of ...

  A = bh = (12 in)(3 h) = 36 in²

The triangle has a base of (15 -12) = 3 in, and a height of 3 in. It has an area of ...

  A = 1/2bh = 1/2(3 in)(3 in) = 4.5 in²

Then the total area is the sum of the rectangle and triangle areas:

  figure area = 36 in² +4.5 in² = 40.5 in²

Answer:

a. vertical

b. horizontal

c. horizontal

d. vertical

Step-by-step explanation:

if the x coordinate changes it's horizontal and if the y coordinate changes it's vertical

Answer:

fine

cause of it's fine point of tangency

Given:

The initial mass of an element is 800 grams.

Decay rate = 8.2% per day

Number of days = 15

To find:

The remaining element after 15 days.

Solution:

The exponential decay model is

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value r is the rate of interest and t is time period.

Putting [tex]a=800,r=0.082,t=15[/tex] in the above formula, we get

[tex]y=800(1-0.082)^{15}[/tex]

[tex]y=800(0.918)^{15}[/tex]

[tex]y=221.68188[/tex]

[tex]y\approx 221.7[/tex]

Therefore, the mass of the remaining element is 221.7 grams.

sorry i couldn't answer tho

Answer:

Step-by-step explanation:

Area of rectangle ABCD = 84.

BC=x

We can use pythagorean to find x. 12^-6^2=c^2

C=6root3

6root3*6/2 = area of triangle ABC

ABC=18root3

Area of ACDE=84-18root3 which equals about 53

Answer:

84

Step-by-step explanation:

To calculate how much 140% of 60 does we need to multiply 60 with 140 then divide it by 100

60 x 140 ÷ 100 = 84

Answer:

Your answer is 3 quarters, 2 nickels, and 4 pennies

Step-by-step explanation:

2 quarters plus 6 nickels plus 9 pennies is equal to 89 cents. So if we subtract 75(3 quarters) we get 14 which is less than 25 therefore we must only use nickels and pennies from now on. If we take 14 and subtract 10(2 nickels) we get 4 which less than 5 leaving us only to use pennies, which one a piece so it must be 4 pennies. Hope this helps!