A Niffler is a magical creature who loves to collect shiny objects and store them in their pouch, much like a kangaroo. The amount a Niffler can hold in their pouch is approximately normally distributed with a mean of 25 pounds of shiny objects and a standard deviation of 6.8 pounds. Newt Scamander, while studying magical creatures in Britain, found a new colony of Nifflers. He discovered a Niffler who had 32 pounds in their pouch. What is the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch?

Answers

Answer 1

Answer:

Probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.

Step-by-step explanation:

We are given that the amount a Niffler can hold in their pouch is approximately normally distributed with a mean of 25 pounds of shiny objects and a standard deviation of 6.8 pounds.

Let X = amount a Niffler can hold in their pouch

So, X ~ Normal([tex]\mu=25,\sigma^{2} =6.8^{2}[/tex])

The z score probability distribution for normal distribution is given by;

                                Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 25 pounds

            [tex]\sigma[/tex] = standard deviation = 6.8 pounds

Now, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is given by = P(X > 32 pounds)

  P(X > 32 pounds) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{32-25}{6.8}[/tex] ) = P(Z > 1.03) = 1 - P(Z [tex]\leq[/tex] 1.03)

                                                             = 1 - 0.8485 = 0.1515

The above probability is calculated by looking at the value of x = 1.03 in the z table which has an area of 0.8485.

Hence, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.


Related Questions

Ramesh examined the pattern in the table. Powers of 7 Value 7 Superscript 4 2,401 7 Superscript 3 343 7 Superscript 2 49 7 Superscript 1 7 7 Superscript 0 1 7 Superscript negative 1 StartFraction 1 Over 7 EndFraction Ramesh says that based on the pattern 7 Superscript negative 5 = negative 16,807. Which statement explains whether Ramesh is correct? Ramesh is correct because 7 Superscript negative 5 is equivalent to Negative 7 times (negative 7) times (negative 7) times (negative 7) times (negative 7), which has the same value as Negative 16,807. Ramesh is correct because as the exponents decrease, the previous value is divided by 7, so 7 Superscript negative 5 = 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 = negative 16,807. Ramesh is not correct because 7 Superscript negative 5 is equivalent to StartFraction 1 Over 7 Superscript 5 EndFraction, which has the same value as StartFraction 1 Over 7 Superscript 4 EndFraction divided by 7 = StartFraction 1 Over 7 cubed EndFraction = StartFraction 1 Over 343 EndFraction. Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7 Superscript negative 5 = 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 = StartFraction 1 Over 16,807 EndFraction. NEED HELP NOW PLEASE I HAVE ONLY SEEN WRONG ANSWERS

Answers

Answer:

D

Step-by-step explanation:

Answer:

D.- Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7^-5 = 1 ÷ 7 ÷ 7 ÷ 7 ÷ 7 ÷ 7 = 1/16,807.

if a punnet of strawberrier weighs 100g
how many punnets would weigh 1 kg

Answers

Answer:

10

Step-by-step explanation:

1 kg = 1000 g

1000/100=10

Two figures are arranged as shown. Which of the following can be used to the area of the figure
shaded light gray?
9
9​

Answers

Answer:

[tex]9^{2} -x^{2}[/tex]

Step-by-step explanation:

The figure is shown in the image attached.

Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.

The area of the bigger square is: [tex]A_{big}=9^{2}[/tex]

The area of the smaller square is: [tex]A_{small}: x^{2}[/tex]

The difference between these areas is: [tex]A=9^{2} -x^{2}[/tex]

Therefore, the expression that can be used to find the light gray area is: [tex]9^{2} -x^{2}[/tex]

Additionally, the expression [tex]x(9-x)+9(9-x)[/tex] is also a right answer, because it's equivalent to the first answer.

[tex]x(9-x)+9(9-x)=9x-x^{2} +81-9x=81-x^{2} =9^{2} -x^{2}[/tex]

How would you write "4/1000" In decimal form?

Answers

Answer:

0.004

Step-by-step explanation:

Since 4/10 is 0.4 and 4/100 is 0.04, 4/1000 must be 0.004

Answer:

0.004

Step-by-step explanation:

[tex]\frac{4}{1000}[/tex] is basically [tex]4 \cdot 10^{-4[/tex] (if you've learned scientific notation), so all you have to do is move the decimal to the left four times. That gives us

[tex]4.0\\0.4\\0.04\\\boxed{0.004}[/tex]

More depth:

[tex]10^{-4[/tex] also equals 0.001, so [tex]4 \cdot 0.001 = \boxed{0.004.}[/tex]

*You may do division and find the answer too. However, these ways are quicker.

Please help worth 20 points!!

Answers

Answer:I would think u would

Step-by-step explanation:42,500×26

Answer:

1634.62$

Step-by-step explanation:

P=S/n

P=42500/26=1634.62

A submarine is 48 m below sea level, and it descends 28 m.
How far below sea level is it?

Answers

Answer:

The submarine is 76 meters below sea level.

Step-by-step explanation: 48+28=76

If the sub is already 48 meters below sea level, and then it travels another 28 meters further down, you simply add 28 to 48.

A bakery sells cakes for $23 and a dozen cupcakes for
$18. In one day they sold 72 items and made a total of
$1446. Which system is an appropriate model of the
problem?
A.23x + y = 72
18x+ y = 1446
B.x+y=72
23x18y=4600
C.23x + 18y = 72
x + y = 1446
D. 23x + y = 1446
x + 18y = 72

Answers

Answer:

23x + 18y = 1446

x + y = 72

Step-by-step explanation:

The bakery made $1446 total. We represent this as the cost of each cake ($23) times the number of cakes sold (x) plus the cost of each dozen cupcakes ($18) times the number of cupcakes sold (y).

Thus, 23x +18y = $1446.

The bakery sold 72 items total. We represent this as the number of cakes sold (x) plus the number of each dozen cupcakes sold (y).

Thus, x + y = 72.

Is OCD and perfectionism the same thing. I need an explanation thanks

Answers

Answer: ocd can be characterized as an extreme form of perfectionism, where anything can lead to anxiety fear, and distress. perfectionism is a personality trait where one drives for flawless ness, it becomes ocd when those strives cause literal disorder in ones life

Step-by-step explanation:

if a rectangular prism has a volume of 550 cm squared and its dimensions are all tripled, then what would be the new volume?

Answers

Answer:

The new volume would be 14,850cm³.

Step-by-step explanation:

The volume of a rectangular prism is:

[tex]V = l*w*h[/tex]

In which l is the length, w is the width and h is the height.

Dimensions tripled.

So [tex]l = 3l, w = 3w, h = 3h[/tex]

The modified volume will be:

[tex]V_{m} = 3l*3w*3h = 27*l*w*h = 27V[/tex]

Volume of 550 cm³ before the dimensions are tripled.

This means that [tex]V = 550[/tex]

New volume:

[tex]V_{m} = 27*550 = 14850[/tex]

The new volume would be 14,850cm³.


Plz answer BRAINLIEST Choose the statement that is true of both triangles.

Answers

9514 1404 393

Answer:

  A. Side lengths of 4 units and 2 units and a nonincluded angle of 30°

Step-by-step explanation:

Both triangles have sides marked 2 units and 4 units, but the angle is not between them. The angle is opposite the short side in one triangle (which will be a right triangle), and opposite the long side in the other triangle (which will be an obtuse triangle). The sides and angles of the two triangles will not have the same measures, and neither will have an angle of 100°.

The first description is appropriate:

  Side lengths of 4 units and 2 units and a nonincluded angle of 30°

What is 256/6561 as a power

Answers

Answer:

(2/3)^8

Step-by-step explanation:

Note that 2^8 = 256, and that 3^8 = 6561.

Then 256/6561 = (2/3)^8

6th grade math help me :))

Answers

Answer:

(30*20)+200

Step-by-step explanation:

27 to 30

18 to 20

172 to 200

Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92, 000; $29,000 ; $30,500 ; $28,500. Which measure of center best describe the data, is it the mean or the median?

Answers

We have been given that Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92,000; $29,000 ; $30,500 ; $28,500. We are asked to find the best measure of center for the given data.

We can see that our given data set has a large valued data point that is $92,000.

We know that mean is very much affected by large valued outliers. The data point $92,000 will increase the mean. Therefore, mean is not a best measure of center for given data.

We know that median is very less affected by outliers, therefore, median will be best measure of center for the given data.

If you flip a coin ten times, how many different sequences of heads and tails are possible? a. 2 Superscript 9 Baseline = 512 b. 10 squared = 100 c. 10 squared = 1024 d. 2 Superscript 10 Baseline = 1024

Answers

Answer:

1024

Step-by-step explanation:

I don't know what this superscript is but the answer is above.

Answer:OPTION D: 2^10 = 1024

Step-by-step explanation: I just took the quiz on edge.hope this helps :)

Kali has a 666 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 222 meters away from the base of the tree.

How high into the tree will the ladder reach?
Round your answer to the nearest tenth of a meter.

Answers

I think it is 123 meters Answer:

Step-by-step explanation:

The Australian Open is the first of the four Grand Slam professional tennis events held each year. Victoria Azarenka beat Maria Sharapova to win the 2012 Australian Open women’s title. During the tournament Ms. Azarenka serve speed reached kilometers per hour. A list of the Women’s Singles serve speed for the 2012 Australian Open is provided below. Player Serve Speed (km/h) S. Williams 192 S. Lisicki 192 M. Keys 191 L. Hradecka 188 J. Gajdosova 187 J. Hampton 187 B. Mattek-Sands 185 F. Schiavone 185 P. Ormaechea 185 P. Parmentier 185 N. Petrova 183 G. Arn 183 V. Azarenka 182 A. Ivanovic 182 P. Kvitova 179 M. Krajicek 179 V. Dushevina 178 S. Stosur 176 S. Cirstea 176 M. Barthel 175

a. Compute the mean, variance, and standard deviation for the serve speeds.

b. A similar sample of the 20 Women’s Singles serve speed leaders for the 2011 Wimbledon tournament showed a sample mean serve speed of 182.5 kilometers per hour. The variance and standard deviation were 33.3 and 5.77, respectively. Discuss any difference between the serve speeds in the Australian Open and the Wimbledon women’s tournaments.

Answers

Answer:

asnwer is B

Step-by-step explanation:

mark BRAINLIEST

Find the limit of the function by using direct substitution lim (x^2+8x-2) x-> 2

Answers

Answer:

[tex] lim_{x \to 2} x^2 +8x -2 [/tex]

And using the properties of limit we got:

[tex] lim_{x \to 2} x^2 +8 \lim_{x \to 2} x - lim_{x \to 2} 2 [/tex]

And replacing we got:

[tex] 2^2 + 8 (2) -2 = 4 +16-2 =18[/tex]

Step-by-step explanation:

For this case we want to find this limit:

[tex] lim_{x \to 2} x^2 +8x -2 [/tex]

And using the properties of limit we got:

[tex] lim_{x \to 2} x^2 +8 \lim_{x \to 2} x - lim_{x \to 2} 2 [/tex]

And replacing we got:

[tex] 2^2 + 8 (2) -2 = 4 +16-2 =18[/tex]

A researcher planned a study in which a crucial step was offering participants a food reward. It was important that three food rewards were equal in appeal. Thus, a pilot study was designed in which participants were asked which of the rewards they preferred. The observed frequencies are as follows:

Of the 60 participants, 16 preferred cupcakes, 26 preferred candy bars, and 18 favored dried apricots.

1. The appropriate statistical test for this problem is (be specific): ________.

2. What are the expected frequencies for this question?

3. What is the cutoff on the comparison distribution (step 3)?

4. What is the correct calculation for chi-square (step 4)?

Answers

Answer:

Step-by-step explanation:

Hello!

A pilot study was conducted to test if three food rewards are equally appealing to the participants.

Of 60 participants surveyed:

16 preferred cupcakes (CC)

26 preferred candy bars (CB)

18 preferred dried apricots (DA)

If the three types of food are equally appealing for the participants, you'd expect that their proportions will be equal: P(CC)=P(CB)=P(DA)= 1/3

1.

The objective of this pilot study is to test if the observed frequencies follow a theoretical model/ distribution. To analyze this, you have to apply a Chi Square Goodness to Fit test. [tex]X^2=sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}[/tex] Where k= number of categories of the variable.

For this example the statistical hypotheses are:

H₀: P(CC)=P(CB)=P(DA)= 1/3

H₁: At least one of the proportions isn't equal to the others.

2.

To calculate the expected frequencies for each category you have to use the formula: [tex]E_i= n* P_i[/tex] where Pi represents the theoretical proportion for the i category, stated in the null hypothesis.

[tex]E_{CC}= n* P(CC)= 60*1/3= 20[/tex]

[tex]E_{CB}= n*P(CB)= 60*1/3= 20[/tex]

[tex]E_{DA}= n* P(DA)= 60* 1/3= 20[/tex]

3.

The cutoff or critical value indicates the beginning of the rejection region for the hypothesis test. For the Chi-Square tests, the rejection region is always one-tailed to the right, meaning that you'll reject the null hypothesis if the value of the statistic is big. For the goodness to fit test you have k-1 degrees of freedom, so the critical value will be:

Assuming α: 0.05

[tex]X^2_{k-1;1-\alpha /2}= X^2_{2;0.975}= 7.378[/tex]

The rejection region is then X²₂ ≥ 7.378

4.

[tex]X^2_{H_0}= \frac{(O_{CC}-E_{CC})^2}{E_{CC}} + \frac{(O_{CB}-E_{CB})^2}{E_{CB}} + \frac{(O_{DA}-E_{DA})^2}{E_{DA}} = \frac{(16-20)^2}{20} +\frac{(26-20)^2}{20} +\frac{(18-20)^2}{20}= \frac{14}{5}= 2.8[/tex]

I hope this helps!

James rented a car for 4 days plus $0.25 per mile. He took the collision waiver for $19.95 per day. He drove the car 352 miles. Gasoline cost $41.38. What was the total cost of renting the car?
1 point
$61.58
$149.33
$413.33
$209.18

Answers

Answer:

$209.18

Step-by-step explanation:

352 miles*$0.25 per mile = $88 for mileage.

$19.95 per day * 4 days = $79.80

88+ 79.80 + 41.38 for gass = $209.18 Total Cost

A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 34 minutes. Suppose the P-value for the test was found to be 0.0290. State the correct conclusion

Answers

Answer:

We conclude that the mean delivery time actually exceeds 34 minutes.

Step-by-step explanation:

We are given that the owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes.

The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 34 minutes. Suppose the P-value for the test was found to be 0.0290.

Let [tex]\mu[/tex] = average time spent on the deliveries.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 34 minutes    {means that the mean delivery time is less than or equal to 34 minutes}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 34 minutes     {means that the mean delivery time actually exceeds 34 minutes}

Now, the decision rule based on the P-value to whether null hypothesis should be accepted or rejected is given by;

If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis.If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis.

Here, we assume that the level of significance is 5%.

Since, the P-value of test statistics is less than the level of significance as 0.029 < 0.05, so we have sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the mean delivery time actually exceeds 34 minutes.

Do you remember the difference between a row and a column
in Math?

Answers

Answer:

Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.

Step-by-step explanation:

what is the average rate of change for the function f(x)=x^2+4 for the domain of -2 to 4

Answers

Answer:

  2

Step-by-step explanation:

For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.

The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...

  f'(1) = 2(1) = 2

The average rate of change of f(x) on [-2, 4] is 2.

__

Alternate solution

The average rate of change is the slope of the line between the end points of the interval:

  m = (y2 -y1)/(x2 -x1)

  m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2

The average rate of change on [-2, 4] is 2.

_____

The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY

Answers

Answer:

A) 26

E) 12

Step-by-step explanation:

11x ≥ 132

x ≥ 12

The solution set would include numbers greater than or equal to 12

what is the area of the triangle shown below?

Answers

Answer: Please provide the triangle

I have the brainy app on my phone, and I have plus on my phone, but when I try to log in on my computer< it says I still need to upgrade, how do I use brainy plus on my computer?

Answers

to use brainy plus on your computer you need to log in with the same account you used on the phone

Answer:

try to restart and delete then re download the app:)

Step-by-step explanation:

on a piece of paper, graph f(x)= {x if x<2 2 if x>2}

Answers

Answer:

  see below

Step-by-step explanation:

The graph has two parts. There is one line for x < 2. It has a slope of 1 and a y-intercept of 0.

The line for x > 2 is the horizontal line x=2.

The point at x=2 is not defined by the function you have posted here, so there is a "hole" in the graph at that point.

Answer:

the person above is correct

Step-by-step explanation:

:p

Answer FAST! This is a HARD question! Good luck

Answers

Answer:

Step-by-step explanation:

I only know that number 2 is 56.

What equations have many solutions
76x+76=76x+76
76x+76=-76x+76
-76x+76=-76x+76
-76x+76=76x+76

Answers

Answer:

[tex]76x+76=76x+76\\-76x+76=-76x+76[/tex]

Step-by-step explanation:

They have the same values and the same signs, therefore, they cancel each other giving a result of 0=0

Answer:

0

Step-by-step explanation:

This equation actually has more than one equal sign

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.

Answers

Answer:

B

Step-by-step explanation: it is a quadratic equation it can only have two intercepts

You have 9 pets:
4 fish,
1 cat,
2 dogs
and 2 birds. What is the probability a pet chosen at random is a dog or a four legged pet?

Answers

Answer:

1/3

Step-by-step explanation:

4 fish, 1 cat,2 dogs,and 2 birds = 9

dogs or 4 legged = cats and dogs = 1+2 = 3

P(dog or 4 legged) = number of dogs or 4 legged / total

                                 =3/9

                                =1/3

Answer:

Step-by-step explanation:

Total pets:

4+1+2+2 = 9

Dog or four legged pets: 2 + 1 = 3

Probability: 3/9 = 1/3

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