Answer:
P(X ≥ 1) = 0.50
Step-by-step explanation:
Given that:
The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.
Then; the probability of success = 7/34 = 0.20588
Using Binomial distribution to determine the probability; we have:
[tex]P(X = x) = ^nC_x \ \beta^x \ (1 - \beta)^{n-x}[/tex]
where;
x = 0,1,2,...n and 0 < β < 1
and x represents the number of successes.
However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:
P(X ≥ 1) = 1 - P(X< 1)
P(X ≥ 1) = 1 - P(X =0)
[tex]P(X \ge 1) = 1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg][/tex]
[tex]P(X \ge 1) = 1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg][/tex]
P(X ≥ 1) = 1 - 0.50
P(X ≥ 1) = 0.50
Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?
Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an additional $0.08 per mile driven. The second plan has an initial fee of $50 and costs and additional $0.10 per mile driven.
Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:
[tex]Initial\ Fee = \$57[/tex]
[tex]Additional = \$0.08[/tex] per mile
Plan 2:
[tex]Initial\ Fee = \$50[/tex]
[tex]Additional = \$0.10[/tex] per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:
[tex]y = 57 + 0.08 * x[/tex]
Plan 2:
[tex]y = 50 + 0.10 * x[/tex]
To solve (a), we equate both plans together; i.e.
[tex]y = y[/tex]
[tex]57 + 0.08x = 50 + 0.10x[/tex]
Collect Like Terms
[tex]0.08x - 0.10x= 50 - 57[/tex]
[tex]-0.02x= -2[/tex]
Solve for x
[tex]x = -2/-0.02[/tex]
[tex]x = 100[/tex]
Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.
[tex]y = 57 + 0.08 * x[/tex]
[tex]y = 57 + 0.08 * 100[/tex]
[tex]y = 57 + 8[/tex]
[tex]y = 65[/tex]
Hence, the amount is $65
Your cell phone plan costs $34.99 per month plus $0.15 for each text message you send or receive. You have at most $40 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?
Answer:
33 texts
Step-by-step explanation:
34.99+0.15(t)=40
lets say t is number of texts
subtract 34.99 from both sides
0.15(t)=$5.01
divide 5.01 by .15
33.4
but you cant send .4 of a text
so 33 texts
Solve for X.Just type the number only, the answer is a positive whole number
Answer:
7
Step-by-step explanation:
If line l is parallel to line m, therefore:
[tex] 16x + 22 = 134 [/tex] (alternate exterior angles are congruent)
Subtract 22 from each side
[tex] 16x + 22 - 22 = 134 - 22 [/tex]
[tex] 16x = 112 [/tex]
Divide both sides by 16
[tex] \frac{16x}{16} = \frac{112}{16} [/tex]
[tex] x = 7 [/tex]
9. a - 2a +5
pls help i’m kinda dumb
I NEED HELP can someone find the slope from these equations
Answer:
[tex] \underline{\boxed{if \: y = 2x + \frac{2}{3} \to \: the \: slope\to \boxed{m = 2} }}\\ \underline{\boxed{if \: y = - \frac{1}{2} x - 3 \to \: the \: slope\to \boxed{m = - \frac{1}{2} } }}\\ \underline{\boxed{ if \: y = \frac{2}{3} x\to \: the \: slope\to \boxed{m = \frac{2}{3} }}}\\ [/tex]
HURRRRY!!!! Thank you
Answer:
C
Step-by-step explanation:
Uhm I tried my best im so sorry if it's wrong
it is B yep he was right have a nice day
Stan, Greg, and Seth were cleaning the school gym in shifts. Stan
cleaned first, then Greg, then Seth. If they each cleaned the same
amount of time for a total of 11 hours, how many minutes did each one
clean?
PLEASE help find measure of angle - TEst review today
Answer:
both measured would be 25 and 19
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
if x equals 4 then 21x+4 equals 88 and 23x-4 equals 88 too.
Challenger Elementary School has 800 students. Every Wednesday, 12% of the students stay after school for Chess Club. How many students attend on Wednesday’s?
Answer:
96 students attend chess club after school on Wednesday's.
Step-by-step explanation:
To solve this problem, simply multiply 800 x 0.12.
800 x 0.12 = 96
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!
Answer:
[tex]\huge\boxed{\text{96 students}}[/tex]
Step-by-step explanation:
In order to find how many students stay back for Chess Club, we want to find 12% of 800.
To do this, we can set up a percentage proportion.
[tex]\frac{12}{100} = \frac{x}{800}[/tex]
We can now solve for x by cross multiplying.
[tex]800 \cdot 12 = 9600\\9600 \div 100 = 96[/tex]
So, 96 students attend Chess Club on Wednesdays.
Hope this helped!
WILL MARK BRAINLIESTS
and go on my last question please!
Answer:
125*125
Step-by-step explanation:
Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.
Answer:
678
678 is even, so it's divisible by 2
6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3
Since 678 is divisible by both 2 and 3, it has to be divisible by 6
Step-by-step explanation:
How many modes, if any, does the group of data have?
Kate, Tim, John, John, Angela, Tim, Sue 1 mode 2 modes no mode 3 modes
The number of modes in the dataset is 1. The dataset is unimodal. The correct option is therefore;
1 mode
What is a unimodal data?A unimodal data is a set of data that has only one mode. The mode is a measure of central tendency.
The data in the question can be presented as follows;
Kate, Tim, John, John, Angelam, Tim, Sue
The frequency of each of the data is therefore;
Kate; 1, Tim; 1, John; 2, Angela; 1, Tim; 1, Sue; 1
The mode of a dataset, is the value that has the highest frequency, or that appears the most in the dataset.
The data that has the highest frequency is John, the mode of the dataset is therefore, John, which has a frequency of 1
The dataset, therefore, has only 1 mode.Learn more on the measures of central tendency, mode median, and mean, of a dataset here: https://brainly.com/question/24994390
#SPJ1
Find x (Type the number answer)
Answer:
18.41
Step-by-step explanation:
[tex]x^{2} = 12^{2} + 8^{2} - 2(12)(8)(cos 133)\\\\x= \sqrt{338.94} = 18.41[/tex]
Evaluate the following expression. Type your answer as a number.
8 + 23 - (4 × 3) =
the 23 is a exponet jus to let you know
its 2
Hope this helps! <3
Which sets of values belongs to the domain and range of a relation
full answer:
As we know that
The domain of a relation is defined as the set of all possible independent values the relation can really take - basically the group of all possible inputs.
The range of a relation is defined as the set of all possible dependent values the relation can generate from the domain values - basically the group of all possible outputs.
As
The domain is the set of independent values, meaning the set of x-coordinates of the ordered pairs as x is an independent variable.
The range is set of dependent values, meaning the set of y-coordinates of the ordered pairs as y is an independent variable.
So, in the set of ordered pairs of a relation
Rob buys 50 feet of border to place around the ceiling of a room. The ceiling is shaped like a square with sides that are 10.8 feet long. How many feet of border will Rob have left?
Answer:
Step-by-step explanation:
Rob needs 43.2 feet of border to place around the ceiling and Rob will have 6.8 feet of border left after placing it around the ceiling.
What is distance?
Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.
The perimeter of the ceiling is equal to the total length of border that Rob will need. The perimeter of a square is given by the formula P = 4s, where s is the length of one side of the square.
In this case, the length of one side of the square ceiling is 10.8 feet, so the perimeter is:
P = 4s = 4(10.8) = 43.2 feet
Therefore, Rob needs 43.2 feet of border to place around the ceiling.
Since he has purchased 50 feet of border, he will have:
50 - 43.2 = 6.8 feet
Rob will have 6.8 feet of border left after placing it around the ceiling.
To learn more about distance from the given link:
https://brainly.com/question/30923151
#SPJ1
first to answer correctly gets brainleist! I need ya to find the slope for me!
Answer:
m=-1
Step-by-step explanation:
The line is going down as x increases, so the slope is negative. Next, we can find the value for m by taking the equation:
m=(y2-y1)/(x2-x1)
m=(3-(-1))/(0-4)
m=4/-4
m=-1
The car traveled 42.5 miles per gallon of gas. If the gas tank in the car could hold 16.5 gallons, how far can the car travel on one tank of gas? (Don't round answer)
Please, help I am really confused!
Answer:
2.57575758
Explanation:
42.5 / 16.5
Suzy ordered some games online for $19 each. She paid a total of $8 for shipping. The total cost of the purchase was $122. How many games did she buy? 7) Using the word problem above, write an equation to find the number of games Suzy bought. (Hint: Don't do any of the steps to solve it, just write the equation) Your answer
Answer:
6
Step-by-step explanation:
122-8 shipping =114 /19=6
Why would a deferred annuity or annuities due be preferred as a retirement investment?
I believe the answer is: The tax deferred nature.
Investment is considered to has tax deferred nature if the tax payment for the investment can be made years later after its due. This favoured as a retirement plan because it make the investors have more money to spend during the productive years prior to retirement.
A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00for 20 hours of work. Find the amount of pay for 31 hours of work. ONLY NUMERICAL VALUE
Answer:
$190.65 for 31 hours
Step-by-step explanation:
P= ha
123=20a
123/20=a
6.15=a
P=6.15h
P= 6.15(31)
p=190.65
Please help!!! 40 points and will give brainliest!!
Answer:
the answer would be
Step-by-step explanation:
i hope this helped
If you add all four together, you get a %400 increase
find the x and y intercept
y=5x-13
Answer:
X int = 13/5 Y int= -13
Step-by-step explanation:
what is -2(15 ÷ 5) + 7(-2)
Answer:
-20
Step-by-step explanation:
Rewrite this sentence using BOTH a DOP and an IOP.
Voy a dar una naranja a Juan.
Answer:
Se la voy a dar., Se la voy a dar, se la voy a dar., se la voy a dar, Se la voy a dar a Juan., Se la voy a dar a Juan, se la voy a dar a Juan., se la voy a dar
Step-by-step explanation:
I WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Suppose Triangle MNO has vertices M(-7,3), N(9,8), and 0(2,16). After a dilation centered at the origin, the coordinates of Triangle M'N'O are M'(-10.5, 4.5), N' (13.5, 12), and O' (3,24). Complete the following algebraic description so that it represents the transportation of Triangle MNO, (2, y) + (x, y) The scale factor is
Answer:
The answer is 1.5
Step-by-step explanation:
Answer:
The scale factor is = 1.5
Step-by-step explanation:
Trust me bro
Giving brainiest explain answer
Answer:
B.) Carrier B
Step-by-step explanation:
The unit rate would be [tex]c = 12t[/tex]. Since the cost for 2 minutes is $0.24 it is easy to figure out that for 1 minute it would be $0.12.
Might be a bit confusing, but hope it helps.
Select all that apply.
40 is what percent of 25. Hint: There are 2 correct answers.
А160%
B 62.5%
C 1600%
D625/1000
E 160/100
F1600/100
Answer:
B and D
Step-by-step explanation:
Hope this helps :3
if it did pls mark brainliest
Answer:
A & E
Step-by-step explanation:
First, multiply 40 by 100, giving you 4000. You then divide 4000 by 25, where you will get a quotient of 160. Now, this can be represented as 160% or 160/100 because a percentage is always out of 100.
Please help me ASAP
:D
Answer: I think it 616lbs not 100% sure
Step-by-step explanation:
10^2 = 100 + 64 sweet potatoes = 164
10^1 = 10+80 tangerines= 90
10^3= 300 + 62 spaghetti squash = 362