The binomial distribution is applicable when only two outcomes are possible. The probability that the newspaper staff receives quotes from exactly 3 athletes is 0.1238.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
Given that 18 of the senior DLT members are athletes, therefore, the probability of a DLT member being an athlete is,
[tex]P = \dfrac{18}{30} = \dfrac{6}{10} = 0.6[/tex]
Also, 12 of the senior DLT members are non-athletes, therefore, therefore, the probability of a DLT member being a non-athlete is,
[tex]q = \dfrac{12}{30} = \dfrac{4}{10} = 0.4[/tex]
Now, using the binomial distribution the probability that the newspaper staff receives quotes from exactly 3 athletes can be written as,
[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=3) = ^8C_3\cdot (0.6)^3\cdot (0.4)^{(8-3)}\\\\P(x=3) = ^8C_3\cdot (0.6)^3\cdot (0.4)^{(5)}\\\\P(x=3) = 0.1238[/tex]
Hence, the probability that the newspaper staff receives quotes from exactly 3 athletes is 0.1238.
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Use the Pythagorean theorem to find x. Enter the answer in simplified form.
Need help ASAP!
Answer:
x=13.855
hope i was able to help you
How to evaluate (-5)^-3 when 5 is a prime number.
Answer:
[tex]\left( -5\right)^{-3} =-\frac{1}{125}[/tex]
Step-by-step explanation:
[tex]\left( -5\right)^{-3} =\frac{1}{\left( -5\right)^{3} } =\frac{1}{-(5)^{3} } =\frac{1}{-125} =-\frac{1}{125}[/tex]
What is the volume of the triangular prism
Step-by-step explanation:
The volume =
base area × height
1/2×3.6×2.4 × 6
= 25.92 cm³
What is worse Precalculus or AP Computer Science Principles?? I have to decide which class i want.
Answer:
This question kind of illogical, if it's a one before the other kind.
Explanation:
Computer scince priniples, especially AP, will most likely involve some equations and potential coding. Most of the numbers and coding will most likely involve some level of calc. Even if they didn't, this class indicates that you most likely wish to get into a form of computer science as a career, perhaps computer animation or engineering. Regardless of the path, some understanding of calculus would be immensly helpful in the future if not now. At the end of the day, it really is your call and not some people on a homework helping site, but I would choose precalc.
Note: Im not you, I don't know what you want in life, i'm just guessing here. Regardless, I believe you'll make the best descision my friend :).
a
4) The function P= 95 - 30 log 2 x models
the percentage, P, of students who could
recall important features of a classroom
lecture as a function of time, where x
represents the number of days that has
elapsed since the lecture was given.
a) After how many days do only half of
the students recall important features of
the classroom lecture? (P=50)
b) After how many days have ALL
students forgotten the important features
of a classroom lecture? (P = 0)
Answer:Assuming x is an odd number, the expression for three consecutive odd numbers would be x+x+2+x+4, which simplifies to 3x+6.ep-by-step explanation:
Which of the following is not a change steve should make to the contract before he signs it? a. steve needs to increase the total cost from $300.00 to $500.00. b. steve needs a clause about the cost of rental equipment as janice’s responsibility. c. steve needs a clause about his hourly rate, regardless of the time it takes to finish the job. d. steve needs to remove the total cost of $300.00 in case the job takes longer than originally expected.
Answer:
I believe its a: steve needs to increase the total cost from $300.00 to $500.00.
Step-by-step explanation:
I will mark brainiest
b is correct !! :) good luck on whatever youre doing ^-^
Lawrence is making 10 gift baskets. The table shows the food he has bought for the baskets . if the food it divided evenly , how much of each type of food will he put in each basket? complete the table. Give each answer as either a fraction mixed number or a decimal.
Answer:
i cant awnser
Step-by-step explanation:
wheres the table....like i cant tell
Simplify: 5x( 3 - 12x )-3(4- 20x^2 )
Answer: 3(5x - 4)
Step-by-step explanation: You first renarange your terms. Then you distribute them. Then you combine the the like terms. Then you find the common factor by factoring by group.
if the sum of a number and seven is doubled, the result is eight less than the number. Find the number
Answer: -18
Step-by-step explanation:
Let the number be represented by x.
If the sum of a number and seven is doubled, the result is four less than the number. The expression would be
2(x + 7) = x - 4
We would open the bracket on the left hand side of the equation by multiplying each term inside the bracket by 2. It becomes
2x + 14 = x - 4
Subtracting 14 and x from the left hand side and the right hand side of the equation, it becomes
2x + 14 - 14 - x =x - x - 4 - 14
x = - 18
Answer:
-22
Step-by-step explanation:
The result is eight less than the number means that
the result = number - 8
( x + 7 ) * 2 = x - 8
=> 2x + 14 = x - 8
=> x = -22
5 I bought 5 boxes of
crackers using a
coupon for 20% off. My
total bill was $6. What was
the original price of one
box of the crackers?
Answer:
1.20 x .2 which is the percent is $6. so the answer is $1.20
The original price of one box of crackers was $1.5 as per the concept of percentage.
Let's assume the original price of one box of crackers is "x" dollars.
After applying the 20% off coupon, you paid 80% of the original price for each box.
So, the discounted price of one box of crackers is 0.8x dollars.
Since you bought 5 boxes of crackers at the discounted price, the total bill becomes:
Total bill = 5 × 0.8x
Total bill = 4x dollars
Given that the total bill was $6, we can set up the equation:
4x = 6
Now, we solve for "x":
x = 6 / 4
x = 1.5
So, the original price of one box of crackers was $1.5. Before the discount, each box cost $1.5, but with the 20% off coupon, you paid 80% of the original price, which resulted in a total bill of $6 for 5 boxes.
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What is the solution to the system of equations below?
y = negative 3 x + 5 and y = 4 x minus 2
Answer:
(1, 2)
Step-by-step explanation:
Since we are finding a solution that matches both equations, y = -3x + 5 is equal to y = 4x - 2.
So -3x + 5 = 4x - 2
Then group terms like so by moving them to the other side:
5 + 2 = 4x + 3x
7 = 7x.
Therefore x = 1.
Now to find y we substitue the value of x into an equation that contains y:
Y = 4x - 2
{x = 1}
Y = 4 - 2
Y = 2
Therefore the solution is (1, 2)
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student who has a cat also has a dog?
Answer:
14/30
Step-by-step explanation:
what is 6/-9 simplified?
Answer:
Reduce by cancelling common factors.
The simplified expression of this problem is -2/3
[tex]-\frac{2}{3}(-0.6)[/tex]
Answer:
-2/3
Step-by-step explanation:
Please help …. I will mark brainly
Answer:
A
Step-by-step explanation:
The slope is 4,6
Or x/y is 4/6
4/6*-3/2=-12/12
=-1
-1
and the extra 3 when you flip it.
2. The population of a school is 800 students and is increasing at a rate of 2% per year. Write an
exponential growth function, then find the population of the school after 9 years.
Answer:
1.) y=800e^(0.02t)
2.) 957.76 (or 958 if rounding up is required)
Step-by-step explanation:
1.) Since the increase is in years and our time is in years, we can use the function y=Pe^(rt) where P is our beginning value, r is rate (as a decimal) and t is time. Substitute the values P=800, r=0.02 to get y=800e^(0.02)t.
2.) Solving the equation above, we substitute t for 9, we get:
Y=800e^(0.02*9)
Y=800e^(0.18)
Y=800*(1.1972)
Y=957.76
Since it asks for population, you may or may not need to round to 958.
Aj has dollers in her account she spends $35. 31 if the balance in her account is $161. 23 what was the amount in her account before her purchase
Which of the following is a monomial?
A. 20x^9-7x
B. 11x-9
C.20x^9
D.9/x
Answer:
c is the monomial as it fulfills the monomial equation ax^n where n is a whole number
What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the
smaller figure? The figures are not drawn to scale
keeping in mind that the ratio of the sides is the same as the ratio of the perimeters, Check the picture below.
By referring to the vertices state the angle highlighted in blue.
Answer:
∠C
Step-by-step explanation:
The angle in blue has C as its vertex.
Vertex is a point where 2 rays intersect to form an angle.
________
Hope it helps ⚜
two tenths plus blank equals forty nine hundredths
a
fifty one hundredths
b
twenty nine hundredths
c
forty seven hundredths
d
ninety eight hundredths
Answer:
b blank = 29/100
Step-by-step explanation:
2/10 + blank = 49/100
blank = 49/100 - 2/10
We need a common denomonator of r10 and 100. We can use 100.
blank = 49/100 - 20/100
blank = 29/100
George is a candle maker. Each 14cm long candle he makes burns for 7 hours. If George makes a 46cm long candle, how long would it burn
An elephant at an animal sanctuary weighs 5.5 tons. He receives a daily nutritional supplement. The instructions say to give 1 fluid ounce of supplement for every 250 pounds of body weight.
Answer:48.5
Step-by-step explanation: Convert 5.5tonnes to pounds, that will be 12125.4pounds
To find how many 250pounds shots of supplement needed, divide by 250
12125.4÷250=48.5fluid ounce daily.
2. Two newspapers are comparing sales for last year.
● The Post sold 34,859 copies.
●
The Tribune sold two-and-a-half times as
many as the Post.
Write an equation that compares the number of
newspapers sold.
Answer:
t= 2.5P
Step-by-step explanation:
tribune= 2.5 x post
When patterning a shotgun, what is a sufficient percentage of pellets within a 30-inch circle?.
The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The percentage of pellets within a 30-inch circle.
Now,
We know that;
According to the state hunter education standards, your shotgun pattern within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
Thus, The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
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helppp meee please eee
Answer:
C ≈ 25.1 yd
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 4 = 8π ≈ 25.1 yd ( to the nearest tenth )
Answer:
25.1
Step-by-step explanation:
Formula of Circumference: 2πr
Radius: 4yd
Diamteter: 8yd
π = 3.14
= 2 x π x r
= 2 x 3.14 x 4
= 25.12
Rounded up:
= 25.1
hi! I hope that I can get the answer
Answer:
84 ft ^3
Step-by-step explanation:
volume = 1/3 * base area * height
volume = 1/3 * (6*7) * 6
volume = 1/3 * (42) * 6
volume = 14 * 6
volume = 84
ILL MAKE BRAINLIEST AND ITS 50 POINTS
The function
p(w)=230(1.1)
represents the number of specialty items produced at the old factory w
weeks after a change in management. The graph represents the number of specialty items produced at the
new factory during the same time period.
(a) During Week 0, how many more specialty items were produced at the old factory than at the new
factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory.
Show your work.
Answer: Is In The Explanation
Step-by-step explanation: For the answer to the question above,
A) You just fill in 0 for w in the problem and anything raised to the power of 0 is 1, so 230(1) is 230, and that is the old factory and at 0 for the new, it is at 190. Subtract then explain why you did what you did.
B) I believe what they are asking for you to do, is you can take each week from the new factory and subtract it and find the equation for the new factory, you already know the growth rate for the old factory= 230(1.1)^w.
C) You take your old factory's equation and plug in numbers until one of them is greater at the new factory.
The radius of Circle A is 3 in. The radius of Circle B is 3 in. greater than the radius of
Circle A. The radius of Circle C is 3 in. greater than the radius of Circle B. The radius of Circle D is
2 in. less than the radius of Circle C. What is the area of each circle? How many times greater than
the area of Circle A is the area of Circle D?
The area of Circle A is __in. 2
Answer:
Area of A: 9pi
5.4 Times greater
Step-by-step explanation:
Circle A Radius: 3
B Radius: 3+A (6 total)
C Radius: 3+B (9 total)
D Radius: C-2 (7 total)
Area of each Circle using formul pi*radius²
A: 9pi
B: 36pi
C: 81pi
D: 49pi
49/9 = 5.4 Circle D is 5.4 times greater then A
PLEASEEEE HELP MEEE
Matching equations with diagrams & finding unknown ancies
is on line WY. Find the value of b.
Which equation(s) and angemeurerents go with the
diagram. Choose ALL that apply
(Select all that apply.)