inver laplace

[tex] {l}^{ - 1} ( \frac{s}{( {s}^{2} + 16)^{2} } ) [/tex]

​

Using the Empirical Rule, it is found that:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem:

First, by the Empirical Rule, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.

0.33 ounces is one standard deviation above the mean.

0.16 = 16% probability that a K-cup will have more than .33 ounces.

16% weigh less than 0.23 ounces. Out of 128:

[tex]0.16(128) = 20[/tex]

20 of them will weight less than 0.23 ounces.

5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.

Thus, the proportion between 0.23 and 0.38 is:

[tex]p = 0.68(0.50) + 0.95(0.5) = 0.815[/tex]

Out of 44:

[tex]0.815(44) = 36[/tex]

36 will weigh between 0.23 and 0.38 ounces.

68% are within 1 standard deviation of the mean.

Out of 44:

[tex]0.68(44) = 30[/tex]

30 of the Sam's Club box of K-cups are ideal.

A similar problem is given at https://brainly.com/question/13503878

Answer: According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.

Step-by-step explanation:

If F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , then the mass in kg of the objects is 4 kg

When a body tends to modify or change the state by an external cause, it is called Force.

Given:

F=ma

Where,

F = Force (N)

m = mass (kg)

a = acceleration (m/s²)

If

F = 12-Newton

m = 3 m/s²

a = ?

F = ma

12 = m × 3

12 = 3m

divide both sides by 3

m = 12/3

m = 4 kg

Therefore, the mass in kg of the objects is 4 kg

To learn more on force click:

brainly.com/question/25250873

#SPJ2

6.4/3.5, OR about 1.83

First job is to isolate the y.

3.5y=6.4x+7

Now divide both sides by 3.5 to get the equation into y=mx+b form.

That leaves a rounded equation of y=1.83x+2

In y=mx+b, the m is the slope. This means the slope of this line is 1.83, or 6.4/3.5

Answer:

The distance is the absolute value of the difference. aka c

Step-by-step explanation:

Answer:

Step-by-step explanation:

A(0,4)

B(6,-4)

C(-2,-8)

just multiply every point by 2

Answer:

1. 2.5 steps per second

2. 1.25 steps

Step-by-step explanation:

Answer:

D. X=-2

Step-by-step explanation:

Answer:

A triangle that has no equal sides is a scalene triangle.

Answer:

All the options are correct

9514 1404 393

Answer:

  (c)  y = 36·5

Step-by-step explanation:

If x represents the number of chocolates, the given formula ...

  y = kx

with the values k = 36 and x = 5 inputted will look like ...

  y = 36·5

Answer: 171 attendees

Step-by-step explanation:

I answered another similar question by you earlier, so I really hope you read through this explanation, as I will go far in depth.  It's important you learn to do this so as not to simply skate through homework, then struggle with assessment.

For this problem, you have to find something called a unit price.

A unit price is the price in dollars per thing.

In this case, the price in dollars for the whole group is $132 for many things, 66 attendees.

Because 66 attendees costs $132, to find out how much money a single attendee costs, simply divide $132 by 66 to get 2$ for 1 attendee.

With this information, it is very straightforward to determine the number of attendees for $342.  Simply divide $342 by $2 to get 171 attendees.

I really hope it helps :) and please, let me know if you want me to explain in more depth, the unit you are currently in is a fundamental part of early math, and it is important you understand it.

Answer:

Step-by-step explanation:

Answer:

4.00 pls give brainliest

Step-by-step explanation:

Hello turkshcutie11!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Find the value of x.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

It's given that the triangle in the figure is a right triangle (a triangle with one angle as 90°). So, we can use the pythagoras property to solve this question.

__________________

Given sides :-

__________________

Using pythagoras property...

Hypotenuse ² = Base² + Altitude ²

x² = 5² + 3²

x² = 25 + 9

x² = 34

x = √34

x = 5.83 units (1st option).

__________________

Hope it'll help you!

ℓu¢αzz ッ

Testing the hypothesis, it is found that the correct option is:

b. Not significantly greater than 55%.

At the null hypothesis, we test if the proportion is not significantly more than 55%, that is:

[tex]H_0: p \leq 0.55[/tex]

At the alternative hypothesis, we test if the proportion is significantly more than 55%, that is:

[tex]H_1: p < 0.55[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are:

[tex]p = 0.55, n = 100, \overline{p} = \frac{60}{100} = 0.6[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.6 - 0.55}{\sqrt{\frac{0.55(0.45)}{100}}}[/tex]

[tex]z = 1.01[/tex]

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted by the p-value of z = 1.01.

Looking at the z-table, z = 1.01 has a p-value of 0.8438.

1 - 0.8438 = 0.1562.

The p-value of the test is 0.1562 > 0.05, which means that the proportion is not significantly greater than 55%, and option b is correct.

A similar problem is given at https://brainly.com/question/24330815

Answer:

6.3

Step-by-step explanation:

m=number of miles

A=$110+$0.50m

B=$80+$0.80m

$110+$0.50m=$80+$0.80m Subtract ($80+$0.50m)

$30=$0.30m Divide each side by $0.30

100=m ANSWER: More than 100 miles must be driven per day to make Company A a better deal.

Answer:

35 : w = 1 : 2

obviously w = 70

Step-by-step explanation:

Hopefully this helps you :)

Have a nice day.

apokibunnyavatar

Answer:

yes these all are correct

Answer:

1.46%

Step-by-step explanation:

Pretend you have a number as a test dummy. We'll go with 100 for simplicity. A 14% increase to 100 would be 114. Then we can decrease 114 by 11%. We can find 11% of 114 with an equation like so: x/114 = 11/100. We can then cross multiply to get this" 100x = 1254, which can be simplified to x=12.54. Now, we can subtract 12.54 from 114, which will get us 101.46. Because percentage is based on 100, we can simply subtract 100 from 101.46, which gives us 1.46. So, the answer is 1.46%.

Answer:

1) Your slope should be 1/5

2) Your slope should be [tex]\frac{-3}{2}[/tex]

3) Your slope should be 1/2

I hope this helps! : )

Answer:

181.25 square feet

1/6 quart water

1/18 cup milk

1/3 beef bouillon cube, and 2/3 a large carrot

Step-by-step explanation:

Answer:100*7.5=750cm=7.5 m

left rope=20-7.5=12.5m

Step-by-step explanation:

Pa Brainliest Kung Pwede.

Answer:

12.5 metres

Step-by-step explanation:

→ Multiply the pieces by the length

100 × 7.5 = 750 cm

→ Convert to metres

750 cm = 7.5 metres

→ Minus from original length

20 - 7.5 = 12.5 metres

Answer:

Step-by-step explanation:

A-B = 4–2 = 2 (age difference between A and B). IF A = 44,. B = A - 2 = 44 - 2 = 42 years old.

Answer:

39 years old

It could be;

10 ÷ 1/2 = 5

Age difference= 10 - 5= 5 years

So, 44 - 5 = 39 years old

Answer:

first one is M=0 and second one is undefined

Answer:

Step-by-step explanation:

complementary angles sum to 90°

Let angle 1 =  x

    angle 2 =  3x - 8

  3x - 8 + x = 90

             4x = 98

               x = 24.5°

3(24.5) - 8 = 65.5°

or

90 - 24.5 = 65.5°

Answer:

19

Step-by-step explanation:

9+10=19

please mark me brainliest

Answer:

21 ^^

jk jk lol 19 >->

but reality... i believe it's 2356486513

Answer:

Step-by-step explanation:

It's the third one. You avoid paying fees and interest. Smart people keep their credit cards at a zero balance for just that reason. Moral: don't buy what you cannot afford to pay off immediately.

Answer: It's C , "You have less of your credit limit available, therefore, less temptation to spend"

Step-by-step explanation: