Answer:
(c) n = 100, p = 0.2
Step-by-step explanation:
To approximate to use the normal distribution for a binomial, we need that:
[tex]np \geq 10, n(1-p)\geq 10[/tex]
So, for each option
(a) n = 10, p = 0.5
[tex]np = 10*0.5 = 5 < 10[/tex]
So not appropriate
(b) n = 40, p = 0.88
[tex]np = 40*0.88 = 35.2 > 10[/tex]
[tex]n(1-p) = 40*0.12 = 4.8 < 10[/tex]
So not appropriate.
(c) n = 100, p = 0.2
[tex]np = 100*0.2 = 20 > 10[/tex]
[tex]n(1-p) = 100*0.8 = 80 > 10[/tex]
So appropriate
(d) n = 100, p = 0.99
[tex]np = 100*0.99 = 99 > 10[/tex]
[tex]n(1-p) = 100*0.01 = 1 < 10[/tex]
So not appropriated
(e) n = 1000, p = 0.003
[tex]np = 1000*0.003 = 3 < 10[/tex]
So not appropriate
A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.
Given that,
Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.
We have to determine,
In which of the following situations would it be appropriate to use a normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.
According to the question,
Probabilities for a binomial distribution with the given values of n and p.
(a) n = 10, p = 0.5
(b) n = 40, p = 0.88
(c) n = 100, p = 0.2
(d) n = 100, p = 0.99
(e) n = 1000, p = 0.003
To approximate to use the normal distribution for a binomial is given as,
[tex]np\geq 10 , \ n(1-p)\geq 10[/tex]
When n = 10 and p = 0.5,[tex]= np \geq 10\\\\= 10 \times 0.5 = 5<10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 40 and p = 0.88,[tex]= n.p \geq 10\\\\= (40).(0.88) \geq 10\\\\= 35.2\geq 10\\\\Then,\\=n(1-p) = 40(1-0.88) \geq 10 \\\\= 40\times 0.12 \geq 10 = 4.8\leq 10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 100 and p =0.2,[tex]= n.p \geq 10\\\\= (100).(0.2) \geq 10\\\\= 20\geq 10\\\\Then,\\=n(1-p) = 100(1-0.2) \geq 10 \\\\= 100\times 0.8\geq 10 = 80\geq 10[/tex]
The normal distribution is greater than 10 so, this appropriate.
When n = 100 and p = 0.99,[tex]= n.p \geq 10\\\\= (100).(0.99) \geq 10\\\\= 99\geq 10\\\\Then,\\=n(1-p) = 100(1-0.99) \geq 10 \\\\= 100\times 0.01\geq 10 = 1\leq 10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 1000 and p = 0.003,[tex]= np \geq 10\\\\= 1000 \times 0.003 = 3<10[/tex]
The normal distribution is less than 10 so, this not appropriate.
Hence, A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.
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Michelle is hosting a party that starts at 6:00 PM. She realizes she did not freeze the ice cubes! She puts ice cubes in the freezer at 1:00 PM hoping they freeze by the time the party starts. The water is 82 degrees Fahrenheit when put into the freezer and will freeze when it reaches 32 degrees Fahrenheit. In Michelle's freezer the water cools to 80% of the temperature from the previous hour. Will the ice cubes freeze before the party starts?
Answer:
2 hours?
Step-by-step explanation:
I put it in a calc
3.) Which is the best description of the table
below?
*Look at picture for the table*
A. Linear
B. Nonlinear
C. Both linear and nonlinear
D. Neither linear nor nonlinear
Answer:
the answer is
A
Step-by-step explanation:
What is the binomial expansion of (2x – 3)5?
Each year, a school committee sells donated cakes to raise money for a trip. The table shows the number of cakes sold each year for 5 years.
Year 2011 2012 2013 2014 2015
Number of Cakes Sold 21 28 19 26 21
Which measure of center best summarizes the number of cakes sold each year, and what is the value of the chosen measure?
Move a word and a value to the lines to complete the sentences.
The best measure of center for this data is the
, which has a value of
mean
median
mode
21
22
23
Please help me
Answer:
MODE 21
Step-by-step explanation:
:)
Four points are always coplanar if they:
Four points are always coplanar if they: lie in same plane.
Firstly understanding the coplanar points. Coplanar points are refers to the points if they are present in same plane. Further defining the word "plane". Plane is the surface, which is flat and two dimensional in nature. The surface is infinite. Plane can also be referred as the analogue of 3 dimensional space, you we can also interpret the plane as extension of point or line.
So, the points that lie on different planes will not be coplanar. Now, understanding the points on lines. Two or more lines may or may not be in same plane. Subsequently, points may or may not be coplanar, depending upon the lines they are placed on. Thus, we can not definitely say that points lying on the same line are coplanar.
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Meg is packing a shipping conditier.
There is one section of the shipping container that has not yet been packed. The space available is in the shape of rectangular
prism that measures 2 feet by 3 feet by 33 feet.
She will pack as many boxes into the available space as possible. Each box is in the shape of a cube with side length 1 foot.
The space available in the shinning container and one of the boxes are shown below.
Answer:
[tex]Boxes= 198[/tex]
Step-by-step explanation:
This question has uncleared details towards the end. However, one can deduce that we need to calculate the amount of box the available space can contain.
We have the following given parameters.
Shipping Container
[tex]Dimension: 2ft\ by\ 3ft\ by\ 33ft[/tex]
The box
[tex]Dimension: 1ft\ by\ 1ft\ by\ 1ft[/tex]
First, we calculate the volume of the shipping container.
[tex]V_A = 2ft * 3ft * 33ft[/tex]
[tex]V_A = 198ft^3[/tex]
Next, we calculate the volume of the box.
[tex]V_B = 1ft * 1ft * 1ft[/tex]
[tex]V_B = 1ft^3[/tex]
The number of box is then calculated as:
[tex]Boxes= \frac{V_A}{V_B}[/tex]
[tex]Boxes= \frac{198ft^3}{1ft^3}[/tex]
[tex]Boxes= \frac{198}{1}[/tex]
[tex]Boxes= 198[/tex]
Hence:
198 boxes will occupy the empty space
A classmate ordered these numbers from greatest to least. is she correct? construct an argument to justify your answer. 6.85, 6.58, - 6.8, - 6.5
Answer:
She is incorrect.
Step-by-step explanation:
-6.8 is less than -6.5 as they are negative numbers.
Using a calculator.. I need help please .
Answer:
Just input sin(9), sin(30), sin(81), etc.
For this set, you need a scientific calculator or else, you won't be able to answer that. There is a way but that is already obsolete now.
A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.)
1. How many ounces of almonds would be in a one-pound bag of this trail mix?
2. Explain or show your reasoning. (OPTIONAL)
Answer:
Step-by-step explanation:
when you combine the amount of almonds and raisins, you get 12 ounces. so out of those 12 ounces, 7 is going to be almonds. aka [tex]\frac{7}{12}[/tex]. now you just have to multiply that by 16 (since there are 16 ounces in a pound) and you'll get roughly 9.333
Try It!
(») 1. Write a compound inequality for the graph.
+
0
-2
6 help neededddd!!
Answer:
-2 < x ≤ 6
Step-by-step explanation:
This graph shows conjunction. This means that the two statements of the inequality bare true at the same time. Therefore, it follows that:
x > -2 ("we use greater than" because the empty/unshaded circle indicates that -2 is not included)
And
x ≤ 6 (we use greater than or equal to because the shaded circle indicates 6 is included)
Joining both statements together, we would have:
-2 < x ≤ 6
Determine the value of c that will result in a perfect square trinomial.
w^2+6w+ c =130+c
Answer:
The value of c that will result in a perfect square trinomial is (3)^2 or 9
The perfect square trinomial is: [tex](w+3)^2=139[/tex]
Step-by-step explanation:
We need to determine the value of c that will result in a perfect square trinomial.
[tex]w^2+6w+ c =130+c[/tex]
Perfect square trinomial are of form: [tex]a^2+2ab+b^2=(a+b)^2[/tex]
Now, the equation given is:
[tex]w^2+6w+ c =130+c[/tex]
Looking at the term 6w, we can write it as 2(w)(3)
We are given: a = w, 2ab = 2(w)(3) so, b will be: (3)^2
So, we will be adding (3)^2 on both sides
[tex]w^2+6w+ c=130+c\\w^2+2(w)(3)+ (3)^2 =130+(3)^2\\The\:left\:side\:becomes: a^2+2ab+b^2\\We\:can\:write\:it\:as: (a+b)^2\\We\:have\:a=w\: and\: b=3\\(w+3)^2=130+9\\(w+3)^2=139[/tex]
So, The value of c that will result in a perfect square trinomial is (3)^2 or 9
The perfect square trinomial is: [tex](w+3)^2=139[/tex]
6х2 + 6 = 12х + 18
Help ):
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=0
Step-by-step explanation:
Consider the equation:
X2+ 2x – 15 = 0
A) First, use the "completing the square" process to write this equation in the form
(2 + D)2= E
Answer:
x² + 2x - 15 = 0
x² + 2x + 1 = 16
(x + 1)² = 16
You can then go forward with that to solve it:
x + 1 = √16
x = -1 ± √16
x = -1 ± 4
x = 3, -5
Drag the slider to 3 centimeters.
The ratio of centimeters to inches is 3 centimeters to
inches.
Answer:
The ratio of centimeters to inches is 3 centimeters to 1.18 inches.
Step-by-step explanation:
Answer:
The ratio of centimeters to inches is 3 centimeters to 1.18 inches.
Step-by-step explanation:
A popular candy is manufactured to weigh 0.16 ounces per piece. The pieces aresold in packages of 36. If the allowable amount of variation in weight for onepiece of candy is 0.03 ounces, which of the following equations can be used todetermine the highest and lowest allowable weight, w, of a package of 36 pieces?Assume that the weight of the packaging is negligible
a. â£wâ0.16â£/36=0.03
b. â£wâ5.76â£/36=0.03
c. 36 |wâ0.16| =0.03
d. 36|w-5.76|=0.03
Answer:
B.) |w - 5.76| / 36 = 0.03
Step-by-step explanation:
Given :
Weight of individual candy piece = 0.16 ounce
Number of candy pieces per package = 36
Allowable variation in weight of individual piece = 0.03 ounces
The highest and lowest allowable weight, w of a package of 36 pieces ;
Actual manufacturing weight of entire 36 candy = (36 * 0.16) = 5.76
Allowable weight ± actual weight ≤ allowable variation
w ± 0.16 ≤ 0.03
|w - 0.16| ≤ 0.03
For the entire 36 candy pieces :
|w - 0.16*36| = 0.03 * 36
|w - 5.76| = 1.08
|w - 0.16*36| = 0.03 * 36
Could also be written as :
|w - 5.76| / 36 = 0.03
please help
i’ll mark brainlyest
Answer:
x=7
Step-by-step explanation:
Help me pls I’m new to this pls answer if you know it thank you!
Hello dear, I am your subsitute teacher and this is a form of cheating so stop it please as i may infrom your activity to the Principal.
Pls help!!!!
What is the estimated sum of 6/7+ 4/7
Answer:
10/7 or 1 3/7
Step-by-step explanation:
Find missing numbers to make equation true.
11=____ +4
___ -4=5
10+5=6+____
9-___=13-10
14-____=2+2
Answer:
1. 7
2. 9
3. 9
4. 6
5. 10
I believe
HELP PLS MATH HELP ASAP CORRECT ANSWER ONLY PLS
Answer:
70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
3(2)+2=8
3(3)+2=11
3(4)+2=14
3(5)+2=17
3(6)+2=20
Sum=70
63 is 75% of what number?
Enter your answer in the box.
___
Answer: the Answer is 84.
Step-by-step explanation:
The sum of two consecutive integers is −51. Find the integers.
9514 1404 393
Answer:
-26, -25
Step-by-step explanation:
The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.
Hence, one is -26 and one is -25.
Which fraction equals 4?
Answer: 8/2
Step-by-step explanation:
The area of a rectangle is 600 square meters the width is 30 meters what is the length
Answer:
l = 20 m
Step-by-step explanation:
600/30 = 20
Determine the value of x in the equation below.
x/5 =15
Answer:
2
Step-by-step explanation:
Please help! It due in a couple of minutes and I completely forgot how to do this.
There are 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles in a bag. A marble will be drawn from the bag and replaced 100 times. What is the reasonable prediction for the number of times a green or black marble will be drawn? A:14 B:65 C:7 D:35
Answer:
Here
Step-by-step explanation:
Make each one fraction like 5 red will be a 1/20 chance. After you make them all fractions, multiply the right ones(green or black).
The lunch special at Omar's Restaurant is a sandwich, a drink and a dessert. There are 2 sandwiches, 2 drinks, and 2 desserts to choose from. How many lunch specials are possible?
Answer:
The number of lunch specials possible is 8.
Step-by-step explanation:
• If there are 2 sandwiches, 2 drinks, and 2 desserts to choose from and the lunch special is a sandwich, drink, and dessert:
• To find out the answer, we are going to say that we have sandwich a & sandwich b, drink a & drink b, and dessert a & dessert b:
1.) Sandwich a:
drink adessert a2.) Sandwich a:
drink adessert3.) Sandwich a:
drink bdessert b4.) Sandwich a:
drink bdessert a5.) Sandwich b:
drink adessert a6.) Sandwich b:
drink a dessert b7.) Sandwich b:
drink bdessert b8.) Sandwich b:
drink bdessert aPlease mark me the Brainliest!?!
The number of lunch specials possible is 8.
What is the combination in maths?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
If there are 2 sandwiches, 2 drinks, and 2 desserts to choose from and the lunch special is a sandwich, drink, and dessert.
The total choices are 3 in that 2 options for every choice are available.
Thus total combination can be made = 2³
total combination can be made = 8
Therefore, the total number of possible lunch specials is 8.
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16.4 divide 0.8 what is the answer
Answer:
20.5
Step-by-step explanation:
Write the ordered pairs when rotated 90 clockwise around the origin A (2,-3) B (-4,6) C (-5, -7)
Please solve this. 10 points.
Answer:
Step-by-step explanation:
14x5-22