Answer:
0.1199 = 11.99% probability that at least 5 of them did not finish the marathon
Step-by-step explanation:
For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used 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.
97.4% finished:
This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that [tex]p = 0.026[/tex]
100 runners are chosen at random
This means that [tex]n = 100[/tex]
Find the probability that at least 5 of them did not finish the marathon
This is:
[tex]P(X \geq 5) = 1 - P(X < 5)[/tex]
In which
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.026)^{0}.(0.974)^{100} = 0.0718[/tex]
[tex]P(X = 1) = C_{100,1}.(0.026)^{1}.(0.974)^{99} = 0.1916[/tex]
[tex]P(X = 2) = C_{100,2}.(0.026)^{2}.(0.974)^{98} = 0.2531[/tex]
[tex]P(X = 3) = C_{100,3}.(0.026)^{3}.(0.974)^{97} = 0.2207[/tex]
[tex]P(X = 4) = C_{100,4}.(0.026)^{4}.(0.974)^{96} = 0.1429[/tex]
[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0718 + 0.1916 + 0.2531 + 0.2207 + 0.1429 = 0.8801[/tex]
[tex]P(X \geq 5) = 1 - P(X < 5) = 1 - 0.8801 = 0.1199[/tex]
0.1199 = 11.99% probability that at least 5 of them did not finish the marathon
look at pic 10 pts will mark brainilest
(20 points) How many, and what type of solutions do the follow
quadratic equations have?
4x2 - x +4= 0
Answer:
2 , Real
Step-by-step explanation:
The quadratic equation is ,
⇒ 4x² - x - 4 = 0 .
Since it is a quadratic equation and has the highest degree of variable as 2 therefore it will have two solutions . For determining the nature of roots we will find the discriminant . The Discriminant of a quadratic equation in standard form of ax² + bx + c = 0 , is ,
⇒ D = b² - 4ac
⇒ D = (-1)² - 4 × 4 × (-4)
⇒ D = 1 + 64
⇒ D = 65 .
Since Discriminant is Greater than 0 , therefore the roots will be real .
A number cube labeled one though six is rolled and a letter is selected from the word MUSIC. Find each probability.
P(2 and S)
a. 1/6
b. 1/5
c. 1/30
d. 1/11
HELP
Answer:
1/30
Step-by-step explanation:
£8.40 is shared equally between three brothers. How much does each brother receive?
Given: mEY=mYI mEXY=80, mK=25 Find: mEI
Answer: Its 140
Step-by-step explanation:
I do russian math too... :(
but ya I don't know how to do it.
Applying the angles of intersecting chords theorem, the measure of arc EI is: 140°.
What is the Angles of Intersecting Chords Theorem?Based on the angles of intersecting chords theorem, the measure of the vertical angle formed when two chords intersect equals half the sum of the measures of the intercepted arcs.
Given the following:
m∠EXY = 80°m∠K = 25°m(EY) = m(YI)m∠K = 1/2(2(EY) -m(JL))
25 = 1/2(2(m(EY)) -m(JL))
50 = 2(m(EY)) -m(JL)
m(JL) = 2(m(EY)) - 50
m∠EXY = 1/2(m(JL) + m(EY) [angles of intersecting chords theorem]
Substitute
80 = 1/2[2(m(EY)) - 50 + m(EY)]
2(80) = 2(m(EY)) - 50 + m(EY)
160 = 3(m(EY)) - 50
160 + 50 = 3(m(EY))
210 = 3(m(EY))
210/3 = m(EY)
m(EY) = 70°
m(EI) = 2(m(EY)) = 2(70)
m(EI) = 140°
Therefore, applying the angles of intersecting chords theorem, the measure of arc EI is: 140°.
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work out giving your answer in its simplest form 3/11 times 4/9
Answer:
Step-by-step explanation:
4x/33
The simplest fraction after calculating 3/11 times 4/9 is 12/99.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
The given expression is:
3/11 times 4/9
It can be written as,
[tex]\dfrac{3}{11} \times \dfrac{4}{9}[/tex]
Multiply the fractions we get
[tex]\dfrac{3\times 4}{11 \times 9} \\\\\dfrac{12}{99}[/tex]
Since both the numerator and denominator have gcd 1,
Therefore, it is in simplest form.
Hence,
3/11 times 4/9 is equal to 12/99.
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Two small planes start from the same point and fly in opposite directions. The first plane is flying 25 mph slower than the second plane. In 2 hrs, the planes are 470 mi apart. Find the rate of each plane.
Answer:
105 mph = rate of first plane
130 mph = rate of second plane
Step-by-step explanation:
Let r = rate of first plane
then r + 25 = rate of second plane
2r = distance of first plane
2(r + 25) = distance of second plane
2r + 2(r + 25) = 470
2r + 2r + 50 = 470
4r = 420
r = 105 mph
r + 25 = 130 mph
Helppppp pleaseeee!! I can’t seem to find the answer!!
Answer:
33.75
20
3624
35
the above numbers are for each of the blanks
the mean - 928.19
Step-by-step explanation:
(8 x 12) - 2(60 ÷ 10) - 15
srry i cant do this ive tryed and im stuck on the 2 step
Answer:
69 (lol)
Step-by-step explanation:
PEMDAS
parentheses, exponents, multiply, divide, add, subtract (in that order)
[tex](8*12)-2(\frac{60}{10} )-15\\=96-2(\frac{60}{10} )-15\\=96-2(6)-15\\=96-12+(-15)\\=96-27\\=69[/tex]
Given the trinomial, what is the value of the 'B' in the factored form? (2 points)
2x^2- 7x – 15 = (x - 5)(2x + B)
Answer:
3
Step-by-step explanation:
2x² - 7x - 15 = (2x + 3) (x - 5)
↑B
!! please help !!
A company sells each product they make for $78.00. They pay $2,700.00 in monthly costs, such as rent and bills, as well as $65.00 in manufacturing costs per unit. If the company sold 626 units last month, what was their total profit?
A. $46,063.00
B. $5,438.00
C. $37,990.00
D. $7,065.60
Answer:
B. 5438
Step-by-step explanation:
[(78-65)×626]-2700=5438
The correct option is, (B) 5438
Definition of profit:
In general, profit is defined as the amount generated from the sale of a product, which should be greater than the product's cost price. It is the amount gained from any business activity. In other words, if a product's selling price (SP) is more than its cost price (CP), it is deemed a gain or profit. It refers to the financial gain obtained when the revenue from a company activity exceeds the costs of running the business, such as taxes and expenses.
Profit formula:Profit is better expressed in terms of cost and sale price. The cost price of a product or commodity is the price at which it is purchased, whereas the selling price is the price at which it is sold. If the selling price of the commodity is more than the cost price, the company has made a profit. Profit or Gain = Selling Price – Cost Price is the formula for calculating profit.
However, when a product is sold for less than its cost price, it is referred to as a loss. As a result, loss equals cost price minus selling price.
According, to the question:
A business makes 78.00 per unit and pays 2,700.00 in monthly charges, such as rent and bills, plus 65.00 in manufacturing costs each unit. If the firm sold 626 units in the previous month.
[(78-65)×626]-2700
= 5438
Hence, The company's overall profit is 5438.
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Jami covered the lateral faces the
wooden box shown with felt.
Which expression shows the amount
of felt, in square centimeters, that she
used to cover the lateral faces?
Answer:
304
Step-by-step explanation:
find the area of each side, then add together
top and bottom are 10*8= 80 80*2= 160
front and back are 10*4=40 40*2=80
left and right sides are 8*4=32 32*2=64
160+80+64=304
ILL GIVE BRAINLEST, find the value of x.
Answer:
x⁰ = 45⁰
Step-by-step explanation:
As it is given that the 2 sides of a triangle are equal, then it is an isosceles triangle.
Now, by applying the Triangle Sum Property,
x⁰ + 90⁰ + 45⁰ = 180⁰
x⁰ = 180⁰ - 135⁰
x⁰ = 45⁰
Hope it helps :)
Answer:
x = 45 degrees
Step-by-step explanation:
A triangle is always 180 degrees. One angle is already labeled 45 degrees, and we can tell this is a right triangle, so the other angle is 90 degrees. Add 45 + 90 to get 135. Then subtract 135 from 180 to get 45, which is the value of the missing angle.
What is 1 1/12+4 5/12 pls
Answer:
5 1/3 or 5.333 or 16/3
Step-by-step explanation:
Yespp
Step-by-step explanation:
1 1/12+4/512=5 6/12= 5 1/2
f(x)=-x^2-4x+12
find the minimum/maximum value
Answer:
Maximum Value / Vertex : (-2,16)
Step-by-step explanation:
Since the value of a is negative, we will solve for the maximum.
Finding the x-value of the vertex of the parabola is x=-b/2a:
x=-(-4)/2(-1)
x=4/-2
x=-2
Now if we plug x=-2 into the function, we'll get our y-value for the vertex:
f(-2)=-(-2)^2-4(-2)+12
f(-2)=-(4)+8+12
f(-2)=-4+20
f(-2)=16
So the vertex of our parabola is (-2,16) which is our maximum value
Bracelets use 1/4 yard of string and 10 charms. You have 9/10 yards string and 72 charms. If you use all the string what fraction of the 72 charms did you use?
Answer:
1/2 of the charms usedStep-by-step explanation:
Ratio of string and charms:
1/4 yard of string ⇒ 10 charms9/10 yard of string ⇒ xSolve by cross-multiplication
x = 10*9/10 ÷ 1/4x = 36 charmsThe fraction of all charms to number of used:
72/36 = 1/2GIVING EVERYTHING IF CORRECT. NO fake answers, you will be reported. And it hurts my grades so please don't.
Answer:
im leaning option D
Step-by-step explanation:
A FRANK RA
FRANK
FRANK
riddle
what do you mean.. is this some other things not about math?
Which statement best explains the importance of examining multiple perspectives about an event?
It reinforces a specific opinion about the event.
It determines which accounts are biased about the event.
It provides different and sometimes opposing viewpoints about an event.
It requires the use of both primary and secondary sources to learn about the event.
Answer:
It provides different and sometimes opposing viewpoints about an event.
Can anyone help with this?
Answer:
231
Step-by-step explanation:
TB equals 90 bc it's a 90 degree angle. To get BD you need to subtract 180 and 90 bc half of a circle equals 180. Do the same to find DC but it's 180-129. Then to find TBC you add all of those together.
Please help with c
Thanks ASAP
pyramid A: 16 + [tex]8\sqrt{5[/tex]
pyramid B: 400 + [tex]8\sqrt{125[/tex]
pyramid A: 4 by 4= 16 cm.
with a height of 1 and length of 2, we use pythagorean theorem to find height of other surfaces to be square root of 5. area of triangle is 1/2 bh
square root of 5 multiplied by 4 and divided by 2 is 2 root 5
multiply this by 4 sides total for 8 root 5
Add the 8 root 5 to 16
To find pyramid B: use ratio of 25:1 and multiply 16 by 25 to find 400, and root 5 to 125
Can someone help me with this or give me a link to the answers please
sorry it can't fit the other half
A submarine was twenty feet below the surface of the water and descended an additional thirty-two and a half feet. Eventually the submarine ascended forty feet toward the surface of the water. What is the location of the submarine in the water?
Answer:
-12 1/2 feet (12 1/2 feet below the surface).
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
15.) Solve this division problem. Write your answer as a mixed number.
Answer:
3 3/4
Step-by-step explanation:
i looked it up with https://www.calculator.net/fraction-calculator.html
pls help im so confused find m
Answer:
i think it is 47
Step-by-step explanation:
20 20 PTS ,.,.,.,.,.,,
Answer:
number 2 i think
Step-by-step explanation:
webassign netweb Student Assignment responses submep.CRUS
& H1 Points)
DETAILS
PRACTICE ANOTHER
AUFMODMATH1 13.48.001.PE.
MY NOTES
ASK YOUR TEACHER
The hypotenuse of a right triangle measures 17 cm. One leg of the triangle measures 15 cm. Find the length of the other leg of the triangle
Need Help?
Answer:
8cm
Step-by-step explanation:
The length of the other leg can be determined using the Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
17² = 15² + b²
289 = 225 + b²
b² = 289 - 225
b² = 64
b = √64
b = 8cm
3. The bakers at Healthy Bakery can make 240 bagels in 5 hours. How many bagels
can they bake in 13 hours? What was that rate per hour?
The answer is 624 bagels in 13 hours. The rate is 48 bagels per hour.
240/5 = 48
48 * 13 = 624
Find the area of the shaded region above
Answer:
given
length[l]=14
breadth =base [b]=13
height [h] for triangle=8
area of shaded region
=area of rectangle+traingle=l×b+1/2 b×h=14×13+1/2×13×8=234 square units
Area of shaded region is 234 square unit
Given:
Base of rectangle box = 13
Height of rectangle box = 14
Height of triangle = 8
Find:
Area of shaded region
Computation:
Area of shaded region = Area of rectangle + Area of triangle
Area of shaded region = [(l)(b)] + [(1/2)(b)(h)]
Area of shaded region = [(14)(13)] + [(1/2)(13)(8)]
Area of shaded region = 182 + [(13)(4)]
Area of shaded region = 182 + 52
Area of shaded region = 234 square unit
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Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 27 dollars and a standard deviation of 8 dollars.
A. What proportion of the bank's Visa cardholders pay more than 32 dollars in interest?
B. What proportion of the bank's Visa cardholders pay more than 40 dollars in interest?
C. What proportion of the bank's Visa cardholders pay less than 19 dollars in interest?
D. What interest payment is exceeded by only 19% of the bank's Visa cardholders?
Here's link to the answer:
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