The problem involves calculating a binomial probability for 12 out of 20 adults being satisfied with airlines, given a satisfaction rate of 66%. This uses the formula for Binomial Probability: P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)).
Explanation:The question involves using Binomial Probability in statistics. Here, the experiment is repeated 20 times (20 adults are selected), each trial is independent (one adult's answer doesn't affect another's), there are two possible outcomes (satisfied or unsatisfied), and the probability of success (being satisfied) is constant (66%).
To calculate the probability of exactly 12 adults being satisfied, we use the formula for Binomial Probability:
P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k))
Where:
C(n, k) is the number of combinations of n items taken k at a time.p is the probability of success (66% or 0.66 in this case).n is the number of trials (20 adults).k is the number of successes we're interested in (12 adults being satisfied).By subbing in these values, we can calculate the desired outcome.
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which is the quotient (3x^2+8x-3)÷(x+3)?
a) 3x+5, r=1
b) 3x-5
c) 3x+1
d) 3x-1
Answer:
d) 3x - 1
Step-by-step explanation:
Since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what it really is, so do not forget it. Anyway, here is how it is done:
-3| 3 8 -3
↓ -9 3
__________________
3 -1 0 → 3x - 1
You start by placing the c in the top left corner, then list all the coefficients of your dividend [3x² + 8x - 3]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is, tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 3 in your quotient can be a 3x, then -1 follows right behind it.
I am joyous to assist you anytime.
what is an equation of the line that passes through the point(-2,1) and is parallel to the line whose equation is 4x-2y=8?
Answer:
Step-by-step explanation:
ANS:
y = 2x − 5 y = mx + b
−1 = 2(2) + b
−5 = b
A farmer sells an average of 15 3/5 bushels of corn each day. What integer represents the change in bushels of corn in his inventory after 6 days.
Answer:
A farmer sells an average of 15 3/5 bushels of corn each day.
In mixed fraction it is ;
[tex]\frac{78}{5}[/tex]
Let us say he has a total of x bushels.
So, after 6 days, he will sell, [tex]6\times\frac{78}{5}[/tex] bushels of corn.
= [tex]\frac{468}{5}[/tex] bushels of corn.
Hence, his left over inventory will have = [tex]x-\frac{468}{5}[/tex] bushels.
Mr zuro finds the mean height of all 14 students in his class to be 69.0 inches. Just as Mr Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 70.5 inches tall. What is the mean height of the 15 students in the class?
Answer:
69.1
Step-by-step explanation:
Mean height of 14 students = 69.0 inches
Mean = sum of data/number of data
69 = sum of data/14
sum of data = 966
FOR NEW MEAN:
Height of additional student = 70.5
Mean = sum of data/ number of data
Mean = 966+70.5/14+1
Mean = 1036.5/15
Mean = 69.1
Therefore, the mean height of the 15 students in the class is 69.1
Final answer:
To find the new mean height after Danielle joins the class, calculate the total height of all students, add Danielle's height, and divide by the new number of students. The mean height increases to 69.1 inches.
Explanation:
Mr. Zuro finds the mean height of all 14 students in his class to be 69.0 inches. When Danielle, who is 70.5 inches tall, walks in late, we need to calculate the new mean height of all 15 students.
First, we find the total height of the initial 14 students by multiplying the mean height by the number of students: 69.0 inches × 14 = 966 inches. Next, we add Danielle's height to this total: 966 inches + 70.5 inches = 1036.5 inches. Finally, to find the new mean height, we divide this total by the number of students, now 15: 1036.5 inches ÷ 15 = 69.1 inches.
Therefore, the mean height of the 15 students in the class, including Danielle, is now 69.1 inches.
Please help me..!!!:(
Answer:
NO Pick none :) Step-by-step explanation:
To shift a graph vertically and/or horizontally is to _____ it.
Answer:
Translate
Step-by-step explanation:
To shift a graph vertically and/or horizontally is to Translate it.
Step-by-step explanation:Translation--
A translation is a rigid transformation in which the graph of the original function is shifted some units to the left or to the right( i.e. horizontal shift) or some units up or down ( i.e. vertical shift ).
The horizontal shift of the function f(x) by k units is given by:
f(x) → f(x+k)
and the vertical shift of the function f(x) by k units is given by:
f(x) → f(x)+k
Factor completely: 9x3 - 9x2y + 4x - 4y A) (x + y)(9x2 - 4) B) (x - y)(9x2 + 4) C) (9x + y)(x - 2)(x + 2) D) (x + y)(3x - 2)(3x + 2)
9x3 - 9x2y + 4x - 4y A) (x + y)(9x2 - 4) B) (x - y)(9x2 + 4) C) (9x + y)(x - 2)(x + 2) D) (x + y)(3x - 2)(3x + 2)
4abc + (-9abc) + 10d?
Answer:5
Step-by-step explanation:
Did I do this right or not?
Answer:
No
Step-by-step explanation:
[tex][x - 5][3x - 2] \\ \\ 3 {x}^{2} - 17x + 10[/tex]
F - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT
O - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT
I - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT
L - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT
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3
Evaluate x + xy if x=-3, y=10
Answer:
-33
Step-by-step explanation:
So we start out by plugging in the values for x and y which becomes:
-3 + (-3 x 10)
Then we do PEMDAS which tells us to solve the values inside the parentheses first( P in PEMDAS) which becomes:
-3 + -30
A negative number added to another negative number stays negative, giving us the answer:
-33
Thanks for any help provided to my question! <3
5m + 2(m + 8) + 3
2. Three times a number, increased by seventeen
A. 3(a + 17)
B 3a + 17
3xN
C. (17 +3)a
D. None of the above
3ya
The correct expression is 3a + 17.
Explanation:The correct expression that represents 'Three times a number, increased by seventeen' is 3a + 17. Option B is the correct answer.
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5.4% of 65 please help.
Answer:
[tex]3.51%[/tex]
Step-by-step explanation:
To find percent of a number, what you have to do is as followed.
Multiply the percent by the number
[tex]5.4 * 65[/tex]
[tex]= 351[/tex]
Divide the answer by 100
3.51
Add percent symbol
3.51%
The value of 5.4% of 65 is 3.51.
What is percentage?This is the amount, number or rate of something, regarded as part of a total of 100. For instance,
20% of 100 equals 20
5% of 50 equals 2.5
So,
5.4% of 65
= 5.4/100 × 65
= 0.054 × 65
= 3.51
In conclusion, 5.4% of 65 equals 3.51
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A label printer prints 7 pages of labels in 1.9 seconds. How long will it take to print 406 pages of labels
Answer: 110.2 seconds
Step-by-step explanation:
Divide 1.9 by 7. That gets you 0.271428571428571. Then multiply that by 406. That in turn gets you 110.2 seconds. Alternatively, you could divide 406 by 7 and then multiply that answer by 1.9 to get the same answer.
Answer:
It's 771.4
Step-by-step explanation:
At the Clam Shack, a large bucket has 25 clams, and a small bucket has 13.
If an order has 214 clams in 10 buckets, how many buckets of each size
make up the order?
Answer:
10 large and 10 small buckets in total.
214 clams in total.
Answer: 7 large 3 small
Step-by-step explanation:
In the morning, Mary walked 2 1/4 miles
around the park. In the afternoon, she
walked another 5 7/8miles. How many miles
did she walk total?
Answer:
7 1/8 miles.
Step-by-step explanation:
The total number of miles Mary walked is 8 1/8.
Given that, Mary walked [tex]2\frac{1}{4}[/tex] miles around the park. In the afternoon, she walked another [tex]5\frac{7}{8}[/tex] miles
We need to find the total distance walked by Mary.
How to add mixed fractions?Step I: Add the whole numbers together.
Step II: We take L.C.M. of the denominators and change the fractions into like fractions.
Step III: We add the like fractions and express the sum to its simplest form.
Now, [tex]2\frac{1}{4}+5\frac{7}{8}[/tex]=(2+5)(1/4 + 7/8)
=7 (2/8 + 7/8)
=7 9/8
=8 1/8
Therefore, the total number of miles Mary walked is 8 1/8.
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Graph the solution of y - 4 < 2 on a number line.
Answer:
y<6
Step-by-step explanation:
You will solve it like a one-step equation but just leave the less then symbol. so anything less then 6 is your answer
The solution of provided inequality equation y - 4 < 2 is y<6 and the number line for this is plotted below.
What is the number line?The number line is the way of representation of number and digits in a arranged form to understand the data batter.
Characteristics of the graph of the inequality-
Open circle- When the value of variable is equal the given number, then the graph of the inequality has a open circle.Closed circle-When the value of variable is not equal the given number, then the graph of the inequality has a closed circle.The ray will move to the right- When the, value of variable is greater then the number, then the ray will move to the right.The ray will move to the left- When the value of variable is less then the number, then the the ray will move to the left.The equation which need to be solve is,
[tex]y - 4 < 2[/tex]
Add 4 both side of the equation to solve it further,
[tex]y < 2+4\\y < 6[/tex]
This is the simplified form of the equation. This equation suggest that the value of y is less than the number 6.
Thus, the arrow should be point left side and the open circle is put on number 6 to make the number line for given equation as shown in figure attached below.
Thus, the solution of provided inequality equation y - 4 < 2 is y<6 and the number line for this is plotted below.
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Please help me, I'm stuck on this math problem. There is an attachment. Thank you!
Answer:
7
Step-by-step explanation:
Divide 427 and 61 to find the quotient.
427 ÷ 61
= 7
Angelina spend $50 on 16 packages of cookies for her club members. sugar cookies cost $2.50 per package and chocolate chip cookies cost $3.50 per package. how many packages of each cookie does Angelina buy?
Answer:
6 packs of sugar cookies and 10 packs of chocolate chip cookies.
Step-by-step explanation:
Let the quantity of sugar cookies be x packs and the quantity of chocolate chip cookies be y packs. Total packs are 16. Therefore: x + y = 16. This implies y = 16 - x (Equation 1).
It is given that a pack of sugar cookies is priced at $2.5 and a pack of chocolate chip cookies is priced at $3.5. It is also given that the student spends a total of $50 on the cookies. Since x packs of sugar cookies and y packs of chocolate chip cookies are to be bought, therefore:
2.5x + 3.5y = 50 (Equation 2).
Put equation 1 in equation 2.
2.5x + 3.5(16 - x) = 50.
2.5x + 56- 3.5x = 50.
-x = -6.
x = 6.
Put x = 6 in equation 1.
y = 16 - 6.
y = 10.
Therefore, Angelina will buy 6 packs of sugar cookies and 10 packs of chocolate chip cookies!!!
wally’s pastry shop baked the following numbers of cookies each week:
week 1: 1850
week 2: 1500
week 3: 1475
week 4: 1700
week 5: 1650
week 6: 1800
what is the range of the data?
Answer:
Range is 375, i have seen this one before.
Step-by-step explanation:
Take the largets value and subtract the smallest value from it to find the range.
How can you write 200,000 using a whole number and a power of 10
Hey!
-----------------------------------
Question Explanation:
In other words you can write 200,00 using a whole number and a power 10 using scientific notation!
In scientific notation you want a number less than 10 multiplied by 10 to the power of a number.
-----------------------------------
Solution:
200,000 / 10 = 20,000
20,000 / 10 = 2,000
2,000 / 10 = 200
200 / 10 = 20
20 / 10 = 2
I divided 200,000 by 10 five times to get a number less than 10.
So, 5 is going to be the exponent.
-----------------------------------
Answer:
2 x 10^5
-----------------------------------
Hope This Helped! Good Luck!
200,000 can be expressed as 2 x 10^5 in scientific notation, which helps to simplify handling of large and small numbers by reducing the number of zeros.
Explanation:To express 200,000 using a whole number and a power of 10, we need to move the decimal place. Start by writing the number as 2 followed by five zeros, or 2,00000. The power of 10 is determined by the number of places we move the decimal. In this case, the decimal is moved 5 places to the left, so we use 10 to the power of 5. Thus, 200,000 can be written as 2 x 105.
This method is known as scientific notation or powers-of-ten notation. It simplifies dealing with very large and small numbers by reducing the number of zeros we have to keep track of. It also makes mathematical operations easier. For instance, when multiplying numbers in this notation, we need to multiply the numbers out front and then add the exponents.
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Solve each inequality 3<-5n + 2n
Answer: -1>n
Step-by-step explanation:1) combine like terms (-5n+2n=-3n) so you have 3<-3n then you divide -3 on both sides and because it’s a negative you flip the sign so you end up with -1>n
2 more than the product of -4 and a number x is less than 20 ?
Answer:
Step-by-step explanation:
Product of -4 and a number x is -4 * x = - 4x
-4x + 2 < 20
Answer:
Step-by-step explanation:
Turning the word problem into equations:
[tex]-4x+2 = 20[/tex]
Subtracting 2 on both sides
[tex]-4x+2 -2= 20 -2[/tex]
[tex]-4x = 18[/tex]
Dividing by -4
[tex] -4x/(-4) = 18/(-4)[/tex]
Considering that -4x/(-4) = x
Then the answer is x = -18/4 = - 9/2 = - 4 1/2
2. Circle the numbers that are multiples of 5.
1
11
21
| 31
2
12
22
32
3
13
23
33
4
14
24
34
5
15
25
35
6
16
26
36
7
17
27
37
8
18
28
38
9
19
29
39
10
20
30
40
what is the factor of 70
Step-by-step explanation:
70 = 1 · 70
70 = 2 · 35
70 = 5 · 14
70 = 7 · 10
70 = 2 · 5 · 7
Solve for x. 5x - [3x + 4(x - 2)] = 9x - [4x + 5x + 10]
Answer:
all work is shown and pictured
All the numbers between 30 and 60 that are multiples of 8
Answer:
32,40,48,56
Can u plz give me the brainliest answer?
Have a nice day!!!!! :-)
KA
prove that 1÷loga ab + 1÷logb ab=1
Answer:
See below.
Step-by-step explanation:
1 ÷ loga ab + 1 ÷ logb ab
= 1 / (loga ab) + 1 / (loga ab / loga b) { change of log base)
= 1 / (loga ab) + loga b / (loga ab)
= (1 + loga b) / loga ab
= (1 + loga b) / (loga a + loga b) Now loga a = 1 so we have:
((1 + loga b) / (1 + loga b)
= 1.
the two lines graphed below are not parallel. how many solutions are there to the system of equations
Answer:
Step-by-step explanation:
the system of equations are : one solution or infinity
What is7766 rounded to the nearest thousands
7766 rounded ot the nearest thousands would be 8000, since the hundreds place value, 7, is going to be rounded up to 8000.
Hope this helped!
Nate
Answer:
8000
Step-by-step explanation:
|Thousands||Hundreds||Tens||Ones|
| 7 || 7 || 6 || 6 |
5 or more, raise the score (turn the 7 into an 8 and make the three other numbers 0)
4 or less, let it rest (leave the 7 as a 7 and make the other 3 numbers 0).
The number that we are looking at changing will be bold. The number that determines if we change that number will be underlined.
7766
The 5 or more, raise the score rule applies to 7.
So, we will make the 7 thousand (7000) 8 thousand (8000)
We will make the seven hundred sixty six (766) zero (0).
Our final answer is 8000.