Suppose the probability of the bus arriving on time is 0.59. For the next 5 stops, what is the probability the bus is on time for at least one of the stops? Assume each stop is independent of each other.
Answers
The prοbability that the bus is οn time fοr at least οne οf the next five stοps is apprοximately \(0.9975.\)
What is the prοbability?Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.
We can apprοach this prοblem by calculating the prοbability that the bus is late fοr all five stοps and subtracting it frοm 1. Alternatively, we can use the cοmplement rule, which states that the prοbability οf an event happening is equal tο 1 minus the prοbability οf the event nοt happening. In this case, the event we are interested in is the bus being οn time fοr at least οne οf the stοps, sο we can calculate:
P(at least οne οn time) = 1 - P(all late)
Tο calculate the prοbability that the bus is late fοr all five stοps, we use the multiplicatiοn rule, which states that the prοbability οf multiple independent events happening tοgether is equal tο the prοduct οf their individual prοbabilities. Since each stοp is independent οf the οthers, we can multiply the prοbability οf the bus being late at οne stοp by itself five times:
P(all late)\(= 0.41^5 = 0.0025\)
Substituting this intο οur fοrmula, we get:
P(at least οne οn time) \(= 1 - 0.0025 = 0.9975\)
Therefοre, the prοbability that the bus is οn time fοr at least οne οf the next five stοps is apprοximately 0.9975.
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Related Questions
Li needs 15 pieces of string each 1/2 of a inch long. She cut a 6-inch piece of string into pieces that are each 1/2 of an inch long. How many more pieces of string does she need?
Answers
The pieces of string that Li is 3.
How to illustrate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, Li needs 15 pieces of string each 1/2 of a inch long and she cut a 6-inch piece of string into pieces that are each 1/2 of an inch long.
The fraction cut will be:
= 6 ÷ 1/2
= 6 × 2
= 12
The remaining pieces will be:
= 15 - 12
= 3
Therefore, 3 pieces are needed.
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an Expression for difference of a number s and -6
Answers
After answering the given query, we can state that The expression for the difference between a number s and -6 is: s - (-6) or s + 6
what is expression ?In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions. It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.
The expression for the difference between a number s and -6 is:
s - (-6)
or
s + 6
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Math triangle question
Answers
16/4=4
8/4=2
12/4=3
Have an amazing day! :)
Answer:
The answer is 3.
16/4=4
8/4=2
12/4=3
Which of the following is the graph of f(x) = -0.5|x +3|-2?
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Answer:
The answer is D
Mark ne as brianlist
PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.
Answers
Answer:
Step-by-step explanation:
A, C, E look good
what does 12a + 14 equal
Answers
Which of the following equations have the same solution ? Select all that apply. 1/2x+4= 7 , 1/3x -7= -6 , -2x-10= -16 , 2x + 13 =23 , 2/3x + 1 = 3
Answers
1. 1/2x + 4 = 7
Subtracting 4 from both sides gives 1/2x = 3
Multiplying both sides by 2 gives x = 6
2. 1/3x - 7 = -6
Adding 7 to both sides gives 1/3x = 1
Multiplying both sides by 3 gives x = 3
3. -2x - 10 = -16
Adding 10 to both sides gives -2x = -6
Dividing both sides by -2 gives x = 3
4. 2x + 13 = 23
Subtracting 13 from both sides gives 2x = 10
Dividing both sides by 2 gives x = 5
5. 2/3x + 1 = 3
Subtracting 1 from both sides gives 2/3x = 2
Multiplying both sides by 3/2 gives x = 3
So the equations that have the same solution are 2 and 3, which both have a solution of x = 3.
What is the surface area of a square prism with sides that measure 8 units?
O254 units²
O 300 units²
0314 units²
0384 units²
Answers
Answer:
384 units²
Step-by-step explanation:
The area of one face is (8)(8)=64.
Multiplying this by the six faces, we get 64(6)=384
ATU COVID-19 team of Marshalls has 13 lecturers, 15 students, 10 administrative staff and 12 modicul personnel. An executive committee of 16 is to be formed to strategize for their mode of operations to help contain the vinus on campus. What is the probability of foming this committee, if there should be equal representation on it?
Answers
The probability of forming this committee with equal representation is approximately 0.570 or 57.0%.
The total number of individuals in the ATU COVID-19 team of Marshalls is 50 (13+15+10+12). To form an executive committee of 16 with equal representation, we need to choose 4 individuals from each group (4 lecturers, 4 students, 4 administrative staff, and 4 medical personnel).
Using the combination formula, we can calculate the number of ways to choose 4 individuals from each group:
C(13,4) × C(15,4) × C(10,4) × C(12,4) = 715 × 1,455 × 2,385 × 4,095 = 7,976,476,875
Therefore, there are 7,976,476,875 possible ways to form the executive committee with equal representation.
To calculate the probability of forming this committee, we need to divide the number of possible ways by the total number of ways to choose any 16 individuals from the ATU COVID-19 team of Marshalls:
C(50,16) = 13,983,816
The probability of forming the executive committee with equal representation is:
7,976,476,875 / 13,983,816 = 0.570
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Need help on these questions
Answers
We can conclude that -
The mystery number is 48.The 30th term is 95.What is the relation between HCF and LCM?The relation between the HCF and LCM is given below -
LCM (A, B) = |A.B|/HCF(A, B)
{ 1 } -
The mystery number would be the LCM of the given numbers -
1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
The LCM of the given numbers is 48.
{ 2 } -
The given sequence is -
8, 11, 14, 17, ...
It is a arithmetic sequence. We can write the 30th term as -
a{30} = a + (n - 1)d
a{30} = 8 + 29 x 3
a{30} = 8 + 87
a{30} = 95
Therefore, we can conclude that -
The mystery number is 48.The 30th term is 95.To solve more questions on LCM, visit the link -
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Show how you arrived at your solution on the answer sheet for full credit. Write neatly, clearly and be organized.
11. A maker of frozen meals claims that the average caloric content of its meals is 800. A
researcher tested 12 meals and found that a sample mean was 815 calories and the sample
standard deviation 25. Is there enough evidence to reject the claim at a =0.02? Assume the
variable is normally distributed. Use p-value method or traditional method. (hint: two-tail
test) write your answer three decimal places (8 points)
Answers
Step-by-step explanation:
A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car
a tree cast a shadow that is 10 ft long a woman who is 5 ft tall cast a shadow that is 4 ft long two similar triangles are created how tall is the tree?
Answers
Answer:
8ft
Step-by-step explanation:
4ft to 5ft
multiply by 2
8ft to 10ft
Answer:
8ft ......................................
Step-by-step explanation:
4ft +5ft.
t or f i need help with this
Answers
Answer:
false 5 is an odd
Answer:
Step-by-step explanation:
false
please hello :(
The Venn diagram below shows the type of crops planted by 50 farmers in a particular area.
If a farmer is chosen at random, what is the probability that the farmer planted corn OR lettuce?
Answers
Answer:
D ( It may be because I think other two are non relative )
Answer:
b) 1\2
Step-by-step explanation:
HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:i think its the second one
Step-by-step explanation:
(3,4) m=0
Formula
Y-y=m(x-x1)
Answers
Answer:
\(y1 = 4 \\ x1 = 3\)
\(y - y1 = m(x - x1)\)
\(y - 4 = 0(x - 3)\)
\(y - 4 = 0\)
\(y = 4\)
thare are 7/8 kilograms of salt in the kitchen . mrs. lopez used 7/15 of the salt when she was preparing dinner. how much salt did she use?
Answers
Answer: 49/120kg
Step-by-step explanation:
7/8•7/15 = 49/120
Justin jogged for four days in a row. On the second day, he jogged 75% of the distance he jogged the first day. On the third day, he jogged 1.5 miles, more than the distance he jogged the first day. If Justin jogged a total distance of 9.25 miles, how many miles did he jogged on the fourth day?
Answers
On solving the prοvided question, we can say that 4.75 miles were ran on day four.
What is equation?A mathematical equation is a formula that jοins two statements and uses the equal symbol (=) tο indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is known as an equatiοn in algebra.
Fοr instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences οn either side of a letter is described by a mathematical formula. Often, there is only οne variable, which alsο serves as the symbol. for instance, 2x – 4 = 2.
On day one, Justin ran two miles.
He ran two miles on the second day, or 75% of it. Divide by 100 and multiply by 75 to get the percentage of two miles that is 75%.
On the secοnd day, I ran 1.5 miles, or 2 / 100, or 0.02 x 75. (I've run 3.5 miles so far)
He ran 1.5 miles further on the third day than the previous one:
1.5 + 1.5 = 3 (6.5 miles jogged sο far) (6.5 miles jogged so far)
The total number of miles run was 9.25, thus tο find the solution, we must subtract 6.5 from 9.25.
4.75 miles were ran οn day four, or 9.25 minus 6.5.
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NO LINKS!!! Please help me with these problems
Answers
7) Center= (-1,2) Radius= \(\boldsymbol{\sqrt{8}}\) Equation: \((x+1)^2+(y-2)^2 = 8\)
8) Center= (3,13) Radius= 13 Equation: \((x-3)^2+(y-13)^2 = 169\)
=========================================================
Explanation:
Problem 7
Let's find the distance from (-1,2) to (-3,4)
\((x_1,y_1) = (-1,2) \text{ and } (x_2, y_2) = (-3,4)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-(-3))^2 + (2-4)^2}\\\\d = \sqrt{(-1+3)^2 + (2-4)^2}\\\\d = \sqrt{(2)^2 + (-2)^2}\\\\d = \sqrt{4 + 4}\\\\d = \sqrt{8}\\\\\)
This is the radius because it stretches from the center to a point on the circle, so \(r = \sqrt{8}\)
Squaring both sides will get us \(r^2 = 8\)
One useful template for a circle is the equation \((x-h)^2+(y-k)^2 = r^2\\\\\)
(h,k) is the center
r is the radius
Let's plug in the given center (h,k) = (-1,2) and the r^2 value we found earlier.
\((x-h)^2+(y-k)^2 = r^2\\\\(x-(-1))^2+(y-2)^2 = 8\\\\(x+1)^2+(y-2)^2 = 8\\\\\)
You can confirm this by using a tool like Desmos. See below.
------------------------------------------------------------------------
Problem 8
The endpoints of the diameter are (-2,1) and (8,25)
The center is the midpoint of these endpoints.
The midpoint of the x coordinates is (-2+8)/2 = 3
The midpoint of the y coordinates is (1+25)/2 = 13
The center is (h,k) = (3,13)
Now find the distance from the center to one of the points on the circle, let's say to (8,25)
\((x_1,y_1) = (3,13) \text{ and } (x_2, y_2) = (8,25)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-8)^2 + (13-25)^2}\\\\d = \sqrt{(-5)^2 + (-12)^2}\\\\d = \sqrt{25 + 144}\\\\d = \sqrt{169}\\\\d = 13\\\\\)
The radius is exactly 13 units.
So,
\((x-h)^2+(y-k)^2 = r^2\\\\(x-3)^2+(y-13)^2 = 13^2\\\\(x-3)^2+(y-13)^2 = 169\\\\\)
is the equation of this particular circle.
Visual confirmation is shown below.
#1
Centre (-1,2)Point on circle=(-3,4)
Radius :-
\(\\ \rm\Rrightarrow \sqrt{(-1+3)^2+(2-4)^2}\)
\(\\ \rm\Rrightarrow \sqrt{2^2+(-2)^2}\)
\(\\ \rm\Rrightarrow \sqrt{8}\)
\(\\ \rm\Rrightarrow 2\sqrt{2}\)
Now equation
\(\\ \rm\Rrightarrow (x-h)^2+(y-k)^2=r^2\)
\(\\ \rm\Rrightarrow (x+1)^2+(y-2)^2=8\)
#2
Endpoints of diameter
(-2,1)(8,25). Midpoint is the centre
(-2+8/2,1+25/2)(6/2,26/2)(3,13)Diameter
√(-2-8)²+(1-25)²√(-10)²+(-24)²√26²26Radius=26/2=13
Equation
(x-3)²+(y-13)²=1692. For each of the next dot plots, guess the approximate location of the mean by thinking aboutwhere the balance point for the data would be. Then check how close your guess was bycalculating the mean.0 1 2 3 4 5 6 7 8 9 1001235 6 7 89 10012569 10
Answers
ANSWER
1) The plot looks like the fulcrum would balance at point 4
After calculation, the mean is 4.
2) The plot looks like the fulcrum would balance at point 3;
After calculation, the mean is 3.8.
3) The plot looks like the fulcrum would balance at point 8;
After calculation, the mean is 7.2
EXPLANATION
From the given data;
1) The plot looks like the fulcrum would balance at point 4.
the mean
\(\begin{gathered} mean(x)=\frac{(2+2+2)+(7+7)}{5} \\ =\frac{20}{5} \\ =4 \end{gathered}\)2) The plot looks like the fulcrum would balance at point 2;
The mean;
\(\begin{gathered} x=\frac{0+1+1+2+2+2+3+3+4+10}{10} \\ =\frac{38}{10} \\ =3.8 \end{gathered}\)3) The plot looks like the fulcrum would balance at point 8;
\(\begin{gathered} x=\frac{0+6+7+7+8+8+8+9+9+10}{10} \\ =\frac{72}{10} \\ =7.2 \end{gathered}\)If you know the answer put and explanation for it please thank you
Answers
Answer:
14 students have to retake the test
Step-by-step explanation:
to calculate the mean mark as
sum of ( product of mark and frequency ) ÷ total
mean = \(\frac{14(2)+15(10)+16(2)+17(3)+18(13)}{30}\)
= \(\frac{28+150+32+51+234}{30}\)
= \(\frac{495}{30}\)
= 16.5
students who score less than 16.5 will retake the test , that is
2 scored 16 , 10 scored 15 , 2 scored 14
number who have to retake test = 2 + 10 + 2 = 14
The cost to produce a product is modeled by the function f(x) = 2x2 − 12x + 24, where x is the number of products produced. Complete the square to determine the minimum cost of producing this product.
Answers
Answer:
Step-by-step explanation:
f(x) = 2x2 − 12x + 24
= 2(x^2 - 6x) + 24
= 2[(x - 3)^2 - 9) + 24
= 2(x - 3)^2 - 18 + 24
= 2(x - 3)^2 + 6
- so the minimum cost is 6
basketball court is being painted the intersection below will be painted blue determine how many square feet of paint will be used
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
w = 8 ft
l = 15 ft
total area (paint) = ?
Step 02:
rectangle area
A = l * w
A1 = 15 ft * 8 ft = 120 ft²
circle area
A = π r²
half circle area
A = (π r²) / 2
A2 = (π * (4ft)²) / 2
A2 = 25.13 ft²
total area = A1 + A2 = 120 ft² + 25.13 ft² = 145.13 ft²
The answer is:
They will used 145.13ft² of paint.
Ty received 3/5 of his CDs as gifts. If he has 60 CDs, how many were gifts?
Answers
Answer:
36 CDs were gifts-------------------
3/5 part of 60 CD's were gifts.
That makes:
3/5 * 60 = 180/5 = 36 CDsIf 4x + b = 12, then x is equal to:
Answers
Answer:
4x + 12 = 24
Subtract 12 to both sides
4x + 12 - 12 = 24 - 12
4x = 12
Divide 4 to both sides
4x ÷ 4 = 12 ÷ 4
x = 3
Step-by-step explanation:
a. Find x. The figure is not drawn to scale. b. Is the triangle equilateral, isosceles, or scalene? Explain.
*
0 points
Captionless Image
Answers
Answer: Based on the given figure above, we can conclude that the triangle is an isosceles triangle. By definition, an isosceles triangle is a triangle that has at least two equal sides. Since this is an isosceles triangle, 8x-10 =6x. Now we can solve for x. So,
8x-10 =6x
8x-6x = 10
2x =10
x= 5.
Therefore, the value of x in the figure is 5. Hope this is the answer that you are looking for.
There are 59 counters in a bag. 20 of the counters are green. The rest of the counters are yellow. One of the counters is taken at random. Find the probability that the counter is yellow. What’s the answer as a decimal correct to 2 decimal places?
Answers
Answer
0.66
Step-by-step explanation:
\(\frac{39}{59} = 0.66\)
What is the deposit of $40
Answers
The integer form is + 40.
The integer form is - 25
What is an integer?An integer is a whole number from the set of negative, non-negative, and positive numbers.
Therefore, integers can be written without fractional components.
Hence, integers may include negative or positive numbers . Examples are -1, 2, 5, -8, 9 and many more.
A deposit of 40 dollars means gain. Therefore, the integer form is + 40.
A loss of 25 pounds mean loss. Therefore, the integer form is - 25
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The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answers
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
10 POINTS : What is the solution? (the x-value)
-0.41x + 2.9 = 8.1x + 45.64
Answers
Answer:
x= - 4274/851 or -5.02
Step-by-step explanation: