Answer:
0.941192 = 94.1192% probability that all are shipped on time
Step-by-step explanation:
For each order, there are only two possible outcomes. Either they are shipped on time, or they are not. The probability of an order being shipped on time is independent of other orders. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that a customer's order is not shipped on time is 0.02.
So 1 - 0.02 = 0.98 probability of being shipped on time, which means that [tex]p = 0.02[/tex]
A particular customer places three orders
This means that [tex]n = 3[/tex]
(a) What is the probability that all are shipped on time
This is [tex]P(X = 3)[/tex].
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.98)^{3}.(0.02)^{0} = 0.941192[/tex]
0.941192 = 94.1192% probability that all are shipped on time
How many triangles can be constructed with angles measuring 50°, 90°, and 40°?
A.one
B.none
C.more than one
150 adult complete a survey
80 are women
write the ratio men: women in it's simplest form.
Work out the surface area
Answer:
189
Step-by-step explanation:
6 imes 4.5divide2
13.5
13.5
67.5
54
40.5
List the factors in the expression 4r + 5s +8.
PLZ HELP MEEEEE!!!!!
1) Which is the slope in the following linear equation?
y= 7x + 3
A. 3
B. 11
C. 7
D. 4
Answer:
C. 7
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 7x + 3
Step 2: Break Function
Identify Parts
Slope m = 7
y-intercept b = 3
_____________are opposite angles that share the same vertex. They are formed by a pair of intersecting lines. Their angle measures are equal.
Answer:
vertical angles
Step-by-step explanation:
vertical angles are opposite angles that share the same vertex. They are formed by a pair of intersecting lines. Their angle measures are equal.
what is the value of 4/15 ÷ 2/3
The value of 4/15 ÷ 2/3 is 2/5
In order to solve this, the first thing is to change the division sign to multiplication sign and this will be:
= 4/15 ÷ 2/3
= 4/15 × 3/2
= 12/30
Reduce to lowest term
12/30 = 2/5
In conclusion, the value of 4/15 ÷ 2/3 is 2/5.
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Which of the following situations represent linear growth? Check all of the boxes that apply.
Martin’s savings account increases because he deposits $25 each week.
Cali’s pay increases by 3% per year.
Each week, an athlete getting into shape loses 2 pounds.
Mei-Lin earns $9 an hour at her job.
Answer:
A, C, and D.
Step-by-step explanation:
The situations that represent linear growth are:
a) Martin's savings account increases because he deposits $25 each week.
d) Mei-Lin earns $9 an hour at her job.
Given are conditions, we need to check which of them shows a linear growth,
Linear growth refers to a constant increase in a variable over time or with respect to another factor.
In both situations (a) and (d), the variables involved change at a constant rate.
In situation (a), Martin's savings account increases by $25 each week. This represents linear growth because the savings account balance is increasing by a fixed amount ($25) on a regular basis (each week).
In situation (d), Mei-Lin earns $9 an hour at her job. This also represents linear growth as the amount Mei-Lin earns increases at a fixed rate ($9) per unit of time (hour).
On the other hand, situations (b) and (c) do not represent linear growth:
In situation (b), Cali's pay increases by 3% per year. This represents exponential growth, not linear growth, because the percentage increase is applied to the current value each year, resulting in a compounding effect.
In situation (c), an athlete getting into shape loses 2 pounds each week. This represents a constant rate of change, but it is not linear growth because the weight loss is decreasing over time.
As the athlete loses weight, the rate of loss may decrease due to factors like metabolism or diminishing returns.
Hence the correct options are a) and d).
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What does 49/7 equal and how do you write it
Answer:
7
Step-by-step explanation:
49 divided by 7 is 7
Use the factor theorem to determine which of the following is NOT one of the factors of 4x^4 - 21x^3 - 22x^2 + 117x + 90
Answer:
C. x-2
Step-by-step explanation:
got it right on edg.
Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start with rain clouds in the air, 20% of all days start with clouds in the air, and rain only typically occurs on 1 out of every 10 days, what is the probability that it will rain today and ruin your picnic
Answer:
0.25 = 25% probability that it will rain today and ruin your picnic
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Cloudy skies
Event B: Rain
20% of all days start with clouds in the air
This means that [tex]P(A) = 0.2[/tex]
50% of rainy days start with rain clouds in the air
50% of 10%. So
[tex]P(A \cap B) = 0.5*0.1 = 0.05[/tex]
What is the probability that it will rain today and ruin your picnic
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25[/tex]
0.25 = 25% probability that it will rain today and ruin your picnic
Who am I if you multiply me by -3 and add 12 the result is -48
Answer:
you would be 20
Step-by-step explanation:
easy peasy
Answer:9
Step-by-step explanation: You would have to simpilify to 9
The ratio of the height of a skateboard ramp to the length of the skateboard ramp is 1 to 3.The height of the ramp is 15 feet.What is the length of the ramp
Answer:
17ft
Step-by-step explanation:
solve (3x-5)+(-4x+1)
Answer:
-x-4
Step-by-step explanation:
How is the derivative of a function related to the slop of the function?
Hi there!
The derivative of the function is the slope of the function at a specific x-value, or its instantaneous rate of change.
For example, take the equation y = x².
Using the power rule, we get:
y' = 2x
If we plug in any x-value into this equation, we can find the slope of the function at any point.
Ex:
x = 0; 2(0) = slope of 0
x = 2; 2(2) = slope of 4
what is the value of this expression 32+50+(-50) HELP ME IM BEGGING YOUUUU
PLEASE HELP I'LL GIVE BRAINLIEST!!!!!!!!! According to the Census Bureau, in 2014 California had an estimated population of 3.88 × 107 and Wyoming had a population of 5.84 × 105. Complete the following sentences.
3.8216 × 107 0.38216 × 107 3.8216 × 106 38.216 × 107 0.66 × 101
66.4 × 101 6.64 × 101
The population of California is __________ more than the population of Wyoming
Alternatively, the population of California is _________ times the population of Wyoming.
Answer:
The population of California is [tex]3.3216 * 10^{7}[/tex] more than the population of Wyoming.
Alternatively, the population of California is [tex]6.64 * 10^{1}[/tex] times the population of Wyoming.
Step-by-step explanation:
The first part is to take the numbers out of the scientific notation. The estimated population of California is 38,800,000, and the population of Wyoming is 584,000.
Not that we've done that, let's start with the first part of the problem.
"The population of California is __________ more than the population of Wyoming."
This is a statement of subtraction, because it's not asking how many TIMES more. So, we subtract Wyoming's population from California's population.
[tex]38,800,000 - 584,000 = 38,216,000.[/tex]
Putting that number into scientific notation is easy: move the decimal to the place in the number where there will only be one number in front of the decimal: 3.3216. How many number slots until you have only one number in front of the decimal? 7. So, we know that the power of 10 is going to be 7. So, the first part of the question answers to:
[tex]3.8216 * 10^{7} .[/tex]
Now for the second part.
"Alternatively, the population of California is _________ times the population of Wyoming."
This is a problem of division. The question is asking us to divide California's population by Wyoming's population.
[tex]\frac{38,800,000}{584,000} = 0.664383562 * 10^{2} .[/tex]
We need to have one number in front of the decimal point, so we move it behind the first 6, giving us 6.64. Because we did this, we need to bump the exponent from 2 to 1, leaving us with:
[tex]6.64 * 10^{1}.[/tex]
So, the answer to the question is:
1. [tex]3.8216 * 10^{7}.[/tex]
2. [tex]6.64 * 10^{1}.[/tex]
Hope this helped you, and I hope you get a perfect score!! :)
Answer:
The population of California is ( 3.8216 x 10⁶ ) more than the population of Wyoming.
Alternatively, the population of California is ( 6.64 x 10¹ ) times the population of Wyoming.
Step-by-step explanation:
I'm pretty sure this is what the other person was trying to say it was just very confusing.
Anyway I got this right on my mastery test.
so thx for the points
that is most likely to be returned. The table shows the number of items of
each brand that were returned over the past year and the total sold.
Returns
Total sold
Brand A
23
325
Brand B
19
279
Brand C
31
512
Brand D
18
475
Which brand should the store eliminate?
Answer:
Brand A
Step-by-step explanation:
Just took the quiz
The brand that should be Eliminated is Brand C.
The correct option is C.
Brand A :
Total Sold = 686
Returns = 33
so, % of returns = (33 * 100) / 686 = 4.8%
Brand B :
Total Sold = 492
Returns = 15
so, % of returns = (15 * 100) / 492 = 3.04%
Brand C :
Total Sold = 362
Returns = 29
so, % of returns = (29 * 100) / 362 = 8.01%
Brand D :-
Total Sold = 767
Returns = 32
so, % of returns = (32 * 100) / 767 = 4.17%
As we can see that, Brand C returns % is most.
Therefore, the store should eliminate Brand C.
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Elizabeth earned $150 a week
tutoring. If he saved $75,
what percent of the money he
earned did he save?
Answer: 50%
Step-by-step explanation:
75:150*100 =
(75*100):150 =
7500:150 = 50
Answer:
50%
Step-by-step explanation:
150-75=75
75 is half of the money he earned and 75 is half he saved.
100 dived by 2 is 50 therefore 50 %
Two years ago,a was valued at $24,000. This year of the car is 23,160. what is the percent decrease in value of the car
Which of these values for the number of feet in a mile is most accurate, when
compared to the exact value?
A. 5,200
B. 5,290
C. 5,000
D. 5,300
Answer:
B. 5,290 feet
Step-by-step explanation:
1 Mile = 5280 Feet
The person is right because you have to multiply 16 3 times to get your answer I think?
Answer:
um I guess Thank you?
n Happy early valentines Day! to u and ur family and others* p.s Mark me branily and a blessing will come ur way
Step-by-step explanation:
ꕥHere’s another one :Dꕥ
——————————————
What’s the distance between ( 0, 2) and ( 0, 5)?
——————————————
I think I know the answer but I’m not sure
Answer:
3 units
Step-by-step explanation:
difference in x=0 (0-0=0)
difference in y=3 (5-2=3)
Gary has 30 blueberry muffins which is 30%Of all blueberry muffins in her basket how many muffins are in her basket
Answer:
100
Step-by-step explanation:
If 30% of all of her muffins are blueberry muffins, that means that 30% of 100% are blueberry. We want to find how many total muffins there are in her basket. Using a ratio:
30 muffins 30%
----------------- = --------
x muffins 100%
Cross multiply:
30 (100) = 30 (x)
3000 = 30x
3000/30 = 30x/30
100 = x
x muffins = 100 muffins
So there are a total of 100 muffins in Gary's basket.
What are the coordinates of the image of vertex P after a reflection of rx-axis(x, y)?
Answer: (-7, 4)
1- the x-coordinate of the reflected point is the same as the x-coordinate of the original point
2- the y-coordinate of the reflected point has the same value but opposite sign of the y-coordinate of the original point
find the polynomial function of degree 3 whose y intercepts is 2 and x is 2 and 3
Answer:
y = x³ - 3x² + 4x - 12
Step-by-step explanation:
We are told that the polynomial intercept is 3 degree and has it's intercepts at 2, 2 and 3.
Now, at y - intercept, y = 0m
Thus, the polynomial is;. (x - 2)(x - 2)(x - 3) = 0.
This gives;
(x² - 4x + 4)(x - 3) = 0
This gives;
x³ - 12x + 4x - 3x² + 12x - 12 = 0
x³ - 3x² + 4x - 12 = 0
I have data with 2 independent variables measuring the effectiveness of 3 different antibiotics at different dosages. I don't know if I should use a bar graph or line graph
A book has 200 pages. If I have read 1/10 of the part of the book then how much part of the book is left to read.
A) 10
B) 20
C) 180
D) 190
Please give correct answer with explanation.
Answer:
180 pages
Step-by-step explanation:
200*1/10
= 200/10
= 20 pages
total pages =200
read = 20 pages
left to read =200-20
=180 pages
Which of the following statements is true?
4 x 23 is less than 23, since 23 is less than 1.
4 x 34 is greater than 34, since 4 is greater than 1.
4 x 44 is equal to 1, since 44 is equal to 1.
4 x 65 is less than 4, since 65is less than 1.
Answer:
4 x 34 is greater than 34, since 4 is greater than 1.
Answer:
4 x 34 is greater than 34, since 4 is greater than 1.
Step-by-step explanation:
It snowed for 11 days in January and 9 days in February. How many days did it snow in all?
Answer:
21 days in total
Step-by-step explanation:
Answer:
It snowed 20 days in all.
Step-by-step explanation:
If it snowed 11 days in January, keep that number to the side. If it snowed 9 days in February, keep that number to the side. Make an equation like this:9+11=? If you add them together, it will make 20.
Hope this helps!