1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatyana61 [14]
3 years ago
9

For questions 2-5, the number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 a

nd a standard deviation of 2.1. 2.What is the z-score value ofa randomly selected bag of Skittles that has35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303. What is the probability that a randomly selected bag of Skittles has at least 37Skittles? a) .152 b) .247 c) .253 d).747e).7534. What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125. What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd
Mathematics
1 answer:
aleksley [76]3 years ago
7 0

Answer:

a. -1.60377

b. 0.25451

c. 0.344

d. Option b) 78th

Step-by-step explanation:

The number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.12.

a)What is the z-score value of a randomly selected bag of Skittles that has 35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

z = 35 - 38.4/2.12

= -1.60377

Option b) -1.62 is correct

b) What is the probability that a randomly selected bag of Skittles has at least 37 Skittles? a) .152 b) .247 c) .253 d).747e).7534. .

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (37 - 38.4)/2.12

= -0.66038

P-value from Z-Table:

P(x<37) = 0.25451

The probability that a randomly selected bag of Skittles has at least 37 Skittles is 0.25451

Option c) .253 is.correct

c) What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125.

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

For 39 Skittles

z = (39 - 38.4)/2.12

= 0.28302

Probability value from Z-Table:

P(x = 39) = 0.61142

For 42 Skittles

z = (42 - 38.4)/2.12

= 1.69811

Probability value from Z-Table:

P(x = 42) = 0.95526

The probability that a randomly selected bag of Skittles has between 39 and 42 Skittles is:

P(x = 42) - P(x = 39

0.95526 - 0.61142

0.34384

= 0.344

Option c is.correct

d) What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (40 - 38.4)/2.12

= 0.75472

P-value from Z-Table:

P(x = 40) = 0.77479

Converting to percentage = 0.77479× 100

= 77. 479%

≈ 77.5

Percentile rank = 78th

You might be interested in
Write 24.357 in the Expanded form using fractions
Oksanka [162]
24+357/1000 = 24.357. Just remember decimals are in tenths, hundredths and in this case thousandths 

8 0
2 years ago
A 5 gallon bucket of paint for 97.45 of a 1 gallon bucket of paint for 21.95
dalvyx [7]

Answer:

The five gallons is cheaper since 97.45 divided by 5 is equal to 19.49.

Step-by-step explanation:

8 0
3 years ago
What’s the equation for the order pairs (1,-5) and (-2,5)
liq [111]

\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-5})\qquad&#10;(\stackrel{x_2}{-2}~,~\stackrel{y_2}{5})&#10;\\\\\\&#10;slope = m\implies&#10;\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-(-5)}{-2-1}\implies \cfrac{5+5}{-2-1}\implies \cfrac{10}{-3}


\bf \begin{array}{|c|ll}&#10;\cline{1-1}&#10;\textit{point-slope form}\\&#10;\cline{1-1}&#10;\\&#10;y-y_1=m(x-x_1)&#10;\\\\&#10;\cline{1-1}&#10;\end{array}\implies y-(-5)=-\cfrac{10}{3}(x-1)\implies y+5=-\cfrac{10}{3}x+\cfrac{10}{3}&#10;\\\\\\&#10;y=-\cfrac{10}{3}x+\cfrac{10}{3}-5\implies y=-\cfrac{10}{3}x-\cfrac{5}{3}

6 0
3 years ago
What is the approximate volume of a cylinder with a height of 2 ft and a radius of 6 ft? Use 3.14 to approximate pi. Express you
marissa [1.9K]
The volume of a cylinder is Pi times the radius^2 times the height

Volume = Pi x 6^2 x 2
Volume = 226.2
6 0
3 years ago
Domain and Range<br><br>Find the Domain and Range for each graph​
sesenic [268]

Answer:

Loading,please wait...

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Linear programming find the minimum value
    11·1 answer
  • Mary purchased 4 tires by mail order. She paid ​$54.90 per tire plus​ $6.50 per tire for shipping and handling. There is no sale
    8·1 answer
  • How far from the base of the house do you need to place a 15ft ladder so that it exactly reaches the top of a 12ft tall wall
    7·1 answer
  • Can someone help me with this
    8·1 answer
  • 144 seventh graders would check out fancy books
    12·2 answers
  • Need help thanks in advance
    9·1 answer
  • HELPPPPPPPPPPP NEEDED PLEASEEEEEEEEEE
    5·1 answer
  • 2/3 X 12 for simplest form
    12·2 answers
  • Please help!!!! i have to finish this by today!
    7·2 answers
  • **Find the perimeter of the region.**
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!