A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 16 adults are randomly selected,
find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight
correction?
The probability that no more than 1 of the 16 adults require eyesight correction is
(Round to three decimal places as needed.)
Answers
Answer:
P (X≤1) = 0.000
Step-by-step explanation:
Data given:
p = 79% = 0.79
q = 1 - 0.79 = 0.21
n = 16
P (no more than 1 in 16 adults) = P (X≤1)
P (X≤1) = P (X=0) + P (X=1)
We can find the probability by using binomial functions:
\(P=\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}\)
P(X=0):P(X=0) = (16! / 0!(16-0)!) · 0.79⁰ · 0.21¹⁶
Use calculator to solve:
P(X=0) = 0.000000000798
P(X=1):P(X=1) = (16! / 1!(16-1)!) · 0.79¹ · 0.21¹⁵
Use calculator to solve:
P(X=1) = 0.000000034506
P(X≤1)P (X≤1) = P (X=0) + P (X=1)
P (X≤1) = 0.000000000798 + 0.000000034506
P (X≤1) = 0.00000003530
P (X≤1) = 0.000
As 1 is a very low number, its probability is very small
Related Questions
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
On a particularly windy day, the percentage of target hits for different distances from the target were recorded for several participants at a children's archery camp. The data is shown in the scatter plot below.
The equation for the line of best fit is as shown below.
Y = 90 - 2.75x
Use the equation for line of best fit to interpret the slope and y-intercept. Based on the line of best fit, predict the percentage of target hits from a distance of 32 meters?
Answers
y= 90- 2.75(32)
y= 90- 88
y= 2
And since y is a percentage, your answer will be
2% of target hits from a distance of 32 meters.
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answers
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
For each ride, a taxi service charges an initial fee plus an additional fee based on the number of kilometers of the trip. The graph shows the cost for taxi rides. Select a true statement. The rise is 4 while the run is 2. The selection of answers are:
A: The slope is 2.1. This means that each kilometer costs $2.10.
B: The slope is 5. This means that each kilometer costs $5.
C: The y-intercept is 2.1. This means that the initial fee is $2.10.
D: The y-intercept is 5. This means that the ride lasts 5. kilometers.
Which one is right and why?
Answers
THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!
The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.
The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.
Does the function f(x) = (0.85)\ represent exponential growth, decay, or neither?
A) Exponential growth
B) Neither
OC) Exponential decay
D)
Impossible to determine with the information given.
Answers
What is the quotient in simplest form?
StartFraction 12 Over 7 EndFraction
StartFraction 7 Over 36 EndFraction
StartFraction 4 Over 7 EndFraction
1 and three-fourths
5 and StartFraction 1 Over 7 EndFraction
Answers
Answer: 1 3/4 Is The Right Answer Heres A Hint simplest forms means incorrect faction
Step-by-step explanation:Hope This Helps!
The quotient in simplest form is given as follows.
What is Division theorem?For every pair of integers a, b where b≠0, there exist unique integers q, r such that -
a = q x b + r
and
0 ≤ r < |b|
where -
[a] is the dividend.
[b] is the divisor.
[q] is the quotient.
[r] is the remainder.
Given are -
12/7 , 7/36 , 4/7 , 1/(3/4) , 5\($\frac{1}{7}\)
The quotient in the simplest form -
12/7 = 1.72
7/36 = 0.19
4/7 = 0.571
1/(3/4) = 7/4 = 1.75
5/(1/7) = 36/7 = 5.15
To solve more questions on Division theorem, visit the link below -
brainly.com/question/13587993
#SPJ5
Dan made a scale drawing of a summer camp. The scale of the drawing was 5 centimeters : 3 meters. The sand volleyball court is 9 meters wide in real life. How wide is the volleyball court in the drawing?
centimeters ______
Answers
Answer:
Step-by-step explanation:
9 divided by 3=3
3 times 5=15
To find the width of the volleyball court in the scale drawing, we set up a proportion using the scale (5cm : 3m) and the real-life width (9m). Solving the proportion (5cm : 3m = x : 9m) gives us a drawing width of 15cm.
Explanation:The first step to solve this problem is to set up a proportion. In Dan's drawing, 5 centimeters represents 3 meters in real life. So we can write the first ratio as 5cm : 3m. We know in real life the volleyball court is 9 meters wide, so to find out how wide it is in the drawing we set up the proportion 5cm : 3m = x : 9m. To solve for x, we cross multiply and divide. (5cm * 9m) / 3m = 15cm. Thus, the width of the volleyball court in the drawing is 15 cm.
Learn more about scale drawing here:https://brainly.com/question/31567993
#SPJ2
What is the number, in cubic inches of the original box?
Answers
The volume of the original box is given as
V = lwh
V = 10(6)(3)
V = 180 in³
pls help due soon TY!!
Answers
helpp plezzzz will give branilist
Answers
Answer: 8/125
Step-by-step explanation:
this is the answer !!
Write the word sentence as an inequality. Then solve the inequality.
Four times a number x is at least −12.
Answers
Answer:
-3
Step-by-step explanation:
-12 divided by 4 -3
Simplify the expression.
–2.5(1 – 2n) – 1.5n
Answers
Answer:
9.5n - 2.5
Step-by-step explanation:
-2.5(1 - 2n) - 1.5n
distribute the -2.5 into the ( )
-2.5 + 10n - 1.5n
combine like terms
-2.5 + 9.5n
9.5n - 2.5
Hope this Helps!!!
Solve using the order of operations. 3 × 4 ÷ 2 = 4 + 16 - 10 = (1 + 2) + 3 × 4 = Please help me!!!!! I am stuck on these equations.
Answers
Answer:
6 = 10 = 15
Step-by-step explanation: This is what i can do
\(3\cdot \:4\div \:2=\\=12\div \:2=\\6\\\\4+16-10=10\\\\(1 + 2) + 3\times 4= \\=3+3\times \:4\\3+12 \\ =15\\\\\\\)
Order of Operations
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
First one: 3×4÷2
Since multiplication and division have the same power, you do the equation in order.
3×4=12
12÷2=6
Second one: 4+16-10
Since addition and subtraction have the same power, you do the equation in order.
4+16=20
20-10=10
Third one: (1+2)+3×4
You have to do the parentheses first...
1+2=3
Now you have to do multiplication since multiplication goes first (according to PEMDAS)
3×4=12
Now you have to add (3) and (12)
3+12=15
Final Answers
First one: 6
Second one: 10
Third one: 15
6=10=15
♡ Hope this helped! ♡
❀ 0ranges ❀
What is-3.28-(4.4)+(-p) p=9.7?
Answers
Answer:
-17.38
Step-by-step explanation:
-3.28-(4.4) = -7.6
-7.6+(-9.7) = -17.38
this is what my pfp means pt1 go to my acc to find pt2
1:in school
2:home for school
3:being yur mom
4:sleeping
5:watching tv
Answers
Use the distributive property to write an expression that is equivalent to 10a - 15b + 25 in factored form.
Answers
Using the distributive property:
10a - 15b + 25
(10a - 10b) - 5b + 25
10(a - b) - 5b + 25
(10(a - b) - 5)b + 25
((10a - 10b) - 5)b + 25
(Factored form)
10a - 15b + 25 —> 5(2a - 3b) + 25
Hence, the distributed expression would be:
5(2a - 3b) + 25
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
Kate must work 15 hours at her job to earn half the cost of a new game for her gaming console. She works 3 hours each day.
Let x represent the number of days she worked, and let y represent the remaining number of hours she needs to work to buy the new game.
What does the y-intercept of the graph of the equation represent?
Answers
Answer:5
Step-by-step explanation:
so first you have to multiply 5x3-15 then divide 15-3-5
If anyone can help me get 3/6 times 2/3 (in simplest form) i'll give u 20 points
Answers
Answer:
1/3
Step-by-step explanation:
its math
1 is a number right?
Answers
Answer:
Yes definitely
Step-by-step explanation:
MATH SMARTIES I NEED UR HELP CAN U TELL ME IF MY ANSWER IS COORRECT AND ITS NOT CORRECT CAN YOU TELL ME THE CORRECT ANSWER
Answers
Lmk if this helps!!
Im offering 10 points
Answers
Answer:
138
I hope i was able to help u,if i was ,please mark me brainliest pls
Answer:
138. Steps are shown above.
Which equation has the solution x = 3? Select each correct answer. Responses 9−3x=0 9 minus 3 x equals 0 9x−1=4 9 over x end fraction minus 1 equals 4 5x−7=1 5 x minus 7 equals 1 3x + 1 = 9 3, x, + 1 = 9 2x + 4 = 10 2, x, + 4 = 10 x3+5=6
PLEASEEE HELLP
Answers
Answer:
First two equations
Step-by-step explanation:
9-3x=0
9=3x
3=x
x=3
2x+4=10
2x=6
x=3
9x-1=4
9x=5
x=5/9
3x+1=9
3x=8
x=8/3
x^3+5=6
x^3=1
x=1
5x-7=1
5x=8
x=8/5
A map has a scale of 1 cm: 5 km. Determine how far apart two cities are if they are 8 cm apart on the map.
A. 1/5 = 8/x
B. 1/x = 5/80
C. 1/5 = 80/x
D. 1/x = 8/5
Answers
Answer:
A
Step-by-step explanation:
Let's set up two ratios...
1 cm : 5km
8 cm : x km
Therefore the answer is A
Tyler buys packs of Pokemon cards. His spending can be represented by the equation C = 0.5p, where C is the cost of his purchase and p is the number of packs he buys.
Create a graph that represents Tyler's spending.
Answers
Answer:
tbh i have no idea but maybe this could help?
Here's a screenshot:
A cell phone company offers a rate of $0.05 per minute. What is this rate in cost per hour?
Answers
Answer:
$3.00
Step-by-step explanation:
0.05*60= 3.00
Hope this helps! :) Pls mark brainliest if correct
Answer:
$3
Step-by-step explanation:
$0.05 x 60 minutes = $3
A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. When comparing the shape of the two sets of data, what conclusion can someone draw? The students tend to have fewer siblings than the teachers. The teachers tend to have fewer siblings than the students. Both the students and the teachers have a wide range of siblings. Both sets of data have the same shape. the answer is- a. The students tend to have fewer siblings than the teachers.
Answers
Answer:
A. The students tend to have fewer siblings than the teachers.
Step-by-step explanation:
First we need to draw the dot plots correctly. If you count both sides they have 20 each.
Now, clearly none have fewer nobody here yet has more or less but going on to the next step.
Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14. And so on.
On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.
So the answer is A. The students tend to have fewer siblings than the teachers.
Answer:
The sum is A
Step-by-step explanation:
Just ma duty to help the community
Can some please help me?
Answers
Answer:
ofc 8374747374743i3i3i383
5. 16t^4/8t^4
9. 6^3+6+4/6^2+3+3
THE ADDITION PART IS STILL EXPONENTS
I hope that was easy to understand, here’s a guide if you need it in the future
The variable in the equation 26 = 1 – 3r is r. Remembering the form ax + b = c, what are the values of the constants, a, b, and c in the equation?
Answers
The value of the constant a, b and c in the equation are -3, 1 and 26 respectively.
What is variable?Variable are numbers represented by letters in a mathematical equation. Therefore,
26 = 1 - 3rUsing the form ax + b = c, where a, b and c are constant.
The value of a, b and c in the expression 26 = 1 - 3r can be solve as follows:
-3r + 1 = 26Therefore,
a = -3b = 1c = 26learn more on variable here: https://brainly.com/question/12035180
Answer:
A=-3
B=1
C=26
Step-by-step explanation:
A deli offers a lunch-special that comes with soup, a sandwich, and a dessert. The soup choices are tomato or onion, the sandwich choices are ham, chicken, tuna, or pastrami, and the dessert choices are cake or pie.
a. Would this problem best be solved by using a table, a list, or a tree diagram. Explain your answer.
b. Use one of those methods to determine the size of the lunch-special sample space.
Answers
Answer:
A. This problem would best be solved using a tree diagram.
B. In order to solve it, you would construct a tree with the first soup choices growing into the other options. Then, after listing every alternative, you could either add them all up to obtain your answer or you could just use the formula 2*4*2=16, which would result in 16 possibilities.