This question is incomplete, the complete question is;
According to a recent survey, 73% of all customers will return to the same grocery store. Suppose 14 customers are selected at random, what is the probability that: (Round probabilities to 4 decimal places and the expected customers to 2 decimal places)
a) All 14 will return?
b) How many customers would be expected to return to the store ?
Answer:
a) the probability that All 14 will return is 0.0122
b) The number of customers that would be expected to return to the store is 13.27
Step-by-step explanation:
Given the data in the question;
p = 73% = 0.73
sample size n = 14
a) the probability that All 14 will return;
P( x = 14 ) = ⁿCₓ × Pˣ × [tex]( 1 - P)^{n-x[/tex]
we substitute
P( x = 14 ) = ¹⁴C₁₄ × (0.73)¹⁴ × [tex]( 1 - 0.73)^{(14-14)[/tex]
P( x = 14 ) = [ 14! / ( 14! × ( 14 - 14)!) ] × (0.73)¹⁴ × [tex]( 0.27)^{0[/tex]
P( x = 14 ) = 1 × 0.0122045 × [tex]( 0.27)^{0[/tex]
P( x = 14 ) = 1 × 0.0122045 × 1
P( x = 14 ) = 0.0122045 ≈ 0.0122 { 4 decimal place }
Therefore, the probability that All 14 will return is 0.0122
b) Expected Customers;
E(x) = n × p
we substitute
E(x) = 14 × 0.73
E(x) = 13.27 { 2 decimal place }
Therefore, The number of customers that would be expected to return to the store is 13.27
Find the Experimental Probability of Spinning a 4
Answer:
....................................,..............................,................................,...................................,...........................,..................,......,,,.,.................................
Step-by-step explanation:
A library sells 600 books for a fundraiser. The library claims that 60% of the books are fiction how many of these books are fiction.
A 10
B 36
C 360
D 600
ASAP PLS!!!!!
Answer:
C. 360
Step-by-step explanation:
60% = 0.60
600 x 0.60 = 360
360 fiction books
Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per liter of oil ?
Step-by-step explanation:
Recognize youre finding the ratio between litres of gas per litres of oil
per always means a ratio
3.75L gas / 1.5L oil
simplify to get 2.5L gas / 1L oil
A pediatrician wishes to recruit 5 couples, each of whom is expecting their first child, to participate in a new natural childbirth regimen. The probability that a randomly selected couple agrees to participate is 0.2. What is the distribution to model the number of couples who do not agree until 5 are found who agree to participate
Answer:
Inverse binomial distribution
Step-by-step explanation:
For each couple, there are only two possible outcomes. Either they agree to participate, or they do not. The probability of a couple agreeing to participate is independent of any other couple accepting. This means that we take the binomial distribution as a basis to solve this question.
However, we want to find the number of trials needed to have a number of successes, in this case 5, that is, we do not have a fixed number of trials, which means that the inverse binomial distribution is used, and is the answer to this question.
Select all the correct answers.
Natalie buys a new car. At the end of the first month, the odometer on the car reads 800 miles. From past experience, she expects to drive 900 miles per month.
Select all the functions that can be used to find the number of miles, , recorded on the odometer after n months.
Answer:
(a) [tex]f(n)= 900n -100[/tex]
(b) [tex]f(1) = 800[/tex]; [tex]f(n) = f(n-1) +900[/tex] for [tex]n \ge 2[/tex]
Step-by-step explanation:
Given
[tex]f(1) = 800[/tex] --- first month
[tex]d = 900[/tex] --- difference in distance covered each month
Required
Find f(n)
To do this, we have:
[tex]a_n = a_1 +d(n -1)[/tex]
Where
[tex]a_1 = f(1) = 800[/tex]
This gives:
[tex]a_n = 800 +900(n -1)[/tex]
[tex]a_n = 800 + 900n - 900[/tex]
Collect like terms
[tex]a_n= 900n +800-900[/tex]
[tex]a_n= 900n -100[/tex]
So, we have:
[tex]f(n)= 900n -100[/tex]
As a recursion, we have:
[tex]f(1) = 800[/tex]
For every other month i.e. [tex]n \ge 2[/tex]
We have:
[tex]f(n) = f(n-1) +900[/tex] for [tex]n \ge 2[/tex]
Which means 900 miles plus distance covered in previous month
Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?
A. 60 cm3
B. 35 cm3
C. 96 cm3
D. 156 cm3
9514 1404 393
Answer:
156 cm³
Step-by-step explanation:
The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.
The front face area is the sum of the triangle area and the rectangle area.
A = 1/2bh + LW
A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²
Then the volume is ...
V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks
The school nurse would like to compare the daily calorie consumption of some teachers to their weight. The data are given below: Calorie 1960 2160 1530 1690 Weight 75 74 78 80 Calorie 1580 1780 2170 1820 1880 Weight 77 85 79 82 78
Answer:
hinh nh ul a caanbang
Step-by-step explanation:
Calorie consumption increases, and weight tends to increase slightly, but the relationship is not very strong.
How to compare data?To compare the daily calorie consumption of teachers to their weight, we can create a scatter plot of the given data, where the calorie consumption is plotted on the x-axis, and the weight is plotted on the y-axis.
Each point on the scatter plot represents a teacher, and the position of the point shows the teacher's calorie consumption and weight.
From the scatter plot, we can see that there is no clear pattern or trend between the calorie consumption and weight of the teachers. However, we can calculate the correlation coefficient between the two variables to quantify the strength and direction of the relationship.
Using a calculator or a spreadsheet program, we can find that the correlation coefficient between calorie consumption and weight is approximately 0.07, which indicates a weak positive correlation.
This means that as calorie consumption increases, weight tends to increase slightly, but the relationship is not very strong.
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Which point represents – 12 on the number line?
Answer:
Point C
Step-by-step explanation:
Answer:
Point C
Step-by-step explanation:
It is need 1/6 to be 2
25 ≥ 5u u = 5
True of false ( show work )
Answer:
true
Step-by-step explanation:
plug in u. u=e
25>= 5x5
25>=25
true
if a plate of car consists of two letters and four digits and one car is chosen at random, then find the probability that the car has the letters at the beginning and at the end.
Answer:
if u take 1 degree to 78 its answer is 79
Step-by-step explanation:
got it?
The probability that the car has the letters at the beginning and at the end is 1/15.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
The plate of car consists of two letters and four digits.
So, there are
= 6!/(4!*2!)
=(6 x 5 x 4!)/4! x 2
= 3 x 4
= 15 ways of arranging
Then, the probability that the car has the letters at the beginning and at the end is 1/15.
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gebra 1 D9 Mati-step problems with percents HS
A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the
original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of
149. How much, including tax, did he pay for the mountain bike?
Submit
Answer:
$1,233.50
Step-by-step explanation:
If your earned income for 2021 will be $84,686, Calculate what you will pay
in Social Security and Medicare taxes if Social Security is taxed at 6.2% at a
maximum taxable income of $142,800 and Medicare is taxed at 1.45%.
Answer:
5250.53 social security, 1227.95 Medicare
Step-by-step explanation:
84686x.062=5250.53 in social security
84686x.0145=1227.95 in Medicare
Vanessa walks her puppy 1/2 of a miles in 20 minutes. How far does she walk her puppy
in 1 hour?
A box contains 3 chocolate chips, 5 oatmeal raisin ,and 4 peanut butter cookies.one cookie is randomly selected.what is the probability that a peanut butter cookie will be selected
Answer:
1/3 or .333 or 33%
Step-by-step explanation
You take the 4 (peanut butter cookies) divided by the total number of cookies (12)
A jar of marbles has 27 green marbles. This represents 30% of the marbles in the jar. How many total marbles are in the jar? Please someone hurry with the answer.
Answer:
90 i think
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
divide 27 by thirty then multiply by 100
1. Which is greater 5/6 or 6/9
Answer:
5/6
Step-by-step explanation:
5/6=0.833
6/9=0.667
There for 5/6 is greater than 6/9
Someone help me out with this
Answer:
v = 729 in³
Step-by-step explanation:
v = 9 * 9 * 9
v = 729 in³
Which of the following is the solution to the compound inequality below?
3x + 4 213 or 2x-13-11
Answer:
C. x is greater than or equal to 3 or x is less than or greater than -5
Select the correct answer from the choices given
(13 + 4i) + n = 0
What is n?
0
1
–13 + 4i
–13 - 4i
Answer:
D
B
Step-by-step explanation:
Can someone please help?
Answer:
B
Step-by-step explanation:
112.5/15=7.5
[tex] \frac{112.5}{15} = 7.5[/tex] ✅
Step-by-step explanation:Option A⤵
[tex] \frac{15}{112.5} = 75 \\ ⇢ 0.1333 ≠75[/tex]
Option B⤵
[tex] \frac{112.5}{15} = 7.5 \\ ⇢ 7.5 = 7.5[/tex]
Option C⤵
[tex] \frac{112.5}{15} = 75 \\ ⇢ 7.5 ≠75[/tex]
Option D⤵
[tex] \frac{15}{112.5} = 7.5 \\ ⇢ 0.1333 ≠7.5[/tex]
Hence, option B is correct.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
✓
In a right angled triangle, the ratio of the acute
Three angles of a triangle are (3x +12). (2x - 38), (x + 10
value of each angle.
tion angle in 4P Find the
Answer:
[tex](3x + 12) + (2x - 38) + (x + 10) = 180 \degree \\ 6x - 16 = 180 \\ 6x = 196 \\ x = 32.6 \\(3x + 12) : = > 110 \degree \\ (2x - 38) : = > 27.3 \degree \\ (x + 10) : = > 42.6 \degree[/tex]
5th grade math. correct answer will be marked brainliest
Answer:
20
Step-by-step explanation:
5: 5, 10, 15, 20
4: 4, 8, 12, 16, 20
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAINLIEST IF ITS CORRECT NO LINKS PLEASE no guessing ;) rip my points i have 6 now ): IM CRYING
Answer:
5(b+3)
Step-by-step explanation:
you are multiplying the sum of b and 3 by 5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
A. The mean absolute deviation is 6.
B. The mean absolute deviation is 2.
C. The mean absolute deviation is 12.
ОО
D. The mean absolute deviation is 14.
Answer:
its B if you are doing the big test
Step-by-step explanation:
The mean absolute deviation is 2.
What is mean absolute deviation?'The mean absolute deviation is the mean distance between each data value and the mean of the data set.'
According to the given problem,
Mean of the given data set = 14
Absolute deviation of mean from each data point,
⇒ ( 9 - 14 ) = 5
⇒ ( 13 - 14 ) = 1
⇒ ( 14 - 14 ) = 0
⇒ ( 15 - 14 ) = 1
⇒ ( 15 - 14 ) = 1
⇒ ( 18 - 14 ) = 4
Mean absolute deviation = [tex]\frac{5+1+0+1+1+4}{6}[/tex]
= [tex]\frac{12}{6}[/tex]
= 2
Hence, we can conclude, the mean absolute deviation of the given data set is 2.
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42 32 30 32 44 36 45 43 What is the median of this set of data?
Answer: 39
Step-by-step explanation:
30 32 32 36 42 42 44 45
Facial shaving brushes are either bulb-shaped or fan-shaped. An experiment is to be conducted to determine whether the lather thickness is the same for both types of shaving brushes. In previous studies, it was determined that shaving brush size (small, medium, large) is associated with lather thickness, but shaving brush type (Wolf Whiskers, Maggard Razors, Frank Shaving, and so on) is not associated with lather thickness. How could the experiment BEST be conducted?
a) By blocking on shaving brush size
b) By blocking on shaving brush type
c) By blocking on shaving brush shape
d) By blocking on lather thickness
e) Without blocking
Answer:
a) By blocking on shaving brush size
Step-by-step explanation:
You block on the variable that the researchers think matters.
The experiment can BEST be conducted by blocking on shaving brush size
What is the reason behind the experiments?An experiment is designed to verify your hypothesis. If your theory is valid, every time a scientific experiment has been conducted, it has the potential to be true.
In this given experiment a technique is used to verify or disprove a theory, as well as assess the effectiveness or likelihood of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
Since, lather thickness and shaving brush size are related, changing the brush size could have an impact on the experiment's findings.
Therefore, The experiment can be best carried out by limiting the size of the shaving brush.
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answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
5x²-2x+7+2x²+6x-95x²+2x²-2x+6x+7-97x²+4x-2so, 7x²+4x-2 is yr answer.
hope it helps.
stay safe healthy and happy.Which statement correctly compares the graph of function g with the graph of function ?
f(3) = ef - 4
-ber - 4
O A. The graph of function gis a vertical compression of the graph of function f.
OB. The graph of function g is a horizontal shift of the graph of function fto the left.
O c. The graph of function g is a horizontal shift of the graph of function fto the right.
OD.
The graph of function gis a vertical stretch of the graph of function f.
-4(-6x+8=-8(-3x-4)
plz help
Answer:
x=-1
Step-by-step explanation:
The work is in the picture
What is the area of this figure?
Enter your answer in the box.
[_] m²
Answer: 81 m^2
Step-by-step explanation:
Parallelogram:
9 × 5 = 45
Triangle:
8 × 9 = 72
72 ÷ 2 = 36
Add:
45 + 36 = 81 bro look i even did an explation can u plz mark brainlist