20 points probability question
Answer:
a. n^2-2n+1/n squared
b. 9 green counters
Step-by-step explanation:
just as you role 3 dices and the chances are MULTIPLIED, the same goes for this problem.
n-1/n times n-1/n would create the probability of getting 2 green counters randomly from the bag's possibility.
n-1/n times n-1/n can be said as (n-1) squared or in simple terms:
n^2 -2n+1 or in words, n squared -2n +1.
divided by n squared is the fraction probability in simplest form:
n^2-2n+1/n squared
the next question is actually much easier:
0.9 is 90% in percentages, this can be detrimental to your grade if your teachers asked you for the decimal, not percentage of it.
for 1 every yellow counter, there is 9 green counters. so in the bag, there is one yellow counter meaning there are 9 green counters in the bag (after finishing the first question)
Part (a)
Answer: (n-2)/n----------------
Explanation:
There are n-1 green counters to start out of n counters total.
The probability of selecting a green counter is (n-1)/n
The probability of selecting a second green counter is (n-2)/(n-1) since we're not putting the first counter back.
Multiplying the two fractions leads to (n-2)/n
Note how the (n-1) terms cancel.
===============================================================
Part (b)
Answer: 19 green counters----------------
Explanation:
We set the result of part (a) equal to 0.9 and solve for n
(n-2)/n = 0.9
(n-2)/n = 9/10
10(n-2) = 9n ... cross multiply
10n-20 = 9n
10n-9n = 20
n = 20
We have 20 counters in the bag. One counter is yellow and the remaining n-1 = 20-1 = 19 are green.
The probability of getting one green counter is 19/20
The probability of a second green counter is 18/19
The probability of two green counters is (19/20)*(18/19) = 18/20 = 9/10 = 0.9
This helps confirm the answer.
What is the correct answer to this problem?
Answer:
Y=51.34019175
Step-by-step explanation:
We first use Pythagoras theorem to find the hypo...
[tex] \sqrt{ {8 }^{2} + {10}^{2} } = 12.8062487[/tex]
After we use sine rule
12.8062487/sin90 = 10/siny
Sin y=10sin90/12.8062487
Y=51.34019175
What is the slope of the line containing (-3, 1) and (1, -2
Answer:
-3 on 4
Step-by-step explanation:
slop is given by change in y coordinate over change in x coordinate
Hakim is making birdhouses. Each birdhouse uses 78 yard of wood.
What is the total length of wood Hakim will need to build 5 birdhouses?
A. 438 yards
B. 578 yards
C. 148 yards
D. 928 yards
Answer:
390 yds
Step-by-step explanation:
Take the amount of wood per birdhouse and multiply by the number of birdhouses being made
78 * 5 =390 yds
Answer:
390 yds
Step-by-step explanation:
Take the amount of wood per birdhouse and multiply by the number of birdhouses being made
78 * 5 =390 yds
Hope this helps!!!
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ= 7. Compute the probability.
Complete question is;
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. What is the probability P (X > 42)?
Answer:
P(X > 42) = 0.1271
Step-by-step explanation:
We are given;
mean; μ = 50
Standard deviation; σ = 7
Formula for the z-score is;
z = (x - μ)/σ
Thus;
z = (42 - 50)/7
z = -1.14
Since we are looking for P (X > 42), then let's look up this z-value from the z-distribution table attached.
We have;
P(X > 42) = 0.1271
A company's mean salary is $65,000 with a standard deviation of $6,000. If a sample of
40 employees is taken, determine the standard error.
948.68
325.25
9328.71
none of these
Answer:
umm not sure on this one either 9328.71
Step-by-step explanation:
distribute and simplify these radicals 2^3 x (^2+^3)
the add of the 56+45/98+5000+12538+567
I kinda need help!!!!!!!!!!!!!!!!
Answer:
15+15+15=45
Step-by-step explanation:
8+8+8=24
4+4+4=12
4+15*8=
124
Answer:
Answers is hear that.
4+15+8=27
What the mass of Earth's water?
Answer:
The total mass of Earth's hydrosphere is about 1.4 × 1018 tonnes, which is about 0.023% of Earth's total mass. At any given time, about 20 × 1012 tonnes of this is in the form of water vapor in the Earth's atmosphere (for practical purposes, 1 cubic meter of water weighs one tonne).
Step-by-step explanation:
Describe how to use Scientific Notation to write a very small number. Give an example, written in both Standard Form and Scientific Notation.
Answer:
In scientific notation, the number in front of a decimal must be a digit. In other words, the number cannot be larger than 9.
The number 0.0000078's scientific notation would be [tex]7.8 * 10^-^6[/tex]
In scientific notation, when the exponent is negative, you move the decimal to the left.
When the decimal is positive, you move the decimal to the right.
Since the exponent is -6, I will move the decimal in 7.8 6 times to the left.
7.8's decimal moved 6 times to left is equal to 0.0000078.
Therefore, the scientific notation for 0.0000078 is [tex]7.8*10^-^6[/tex]
**STANDARD FORM: 0.0000078
**SCIENTIFIC NOTATION: [tex]7.8*10^-^6[/tex]
This is probably a lot, so summarize when giving your actual answer.
Step-by-step explanation:
My answer is self explanatory.
Ordena de mayor a menor el siguiente grupo de fracciones y decimales
-2,14; 7/50; -2,41; -11/8; -2,1
Answer:
-2.41: -2.14: -2.1: -11/8: 7/50
Exponential regression
Answer:
C
Step-by-step explanation:
Helpppppppppppppp:))))
Given:
Principal value = $1500
Rate of interest = 7% per annum compounded daily
Time = 2 years.
To find:
The amount after 2 years.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimals, n is the number of time interest compounded in an year and t is the number of years.
We know that 1 year is equal to 365 days and the interest compounded daily. So, n=365.
Substituting [tex]P=1500,\ r=0.07,\ n=365,\ t=2[/tex] in the above formula, we get
[tex]A=1500\left(1+\dfrac{0.07}{365}\right)^{365(2)}[/tex]
[tex]A=1500\left(\dfrac{365+0.07}{365}\right)^{730}[/tex]
[tex]A=1500\left(\dfrac{365.07}{365}\right)^{730}[/tex]
Using calculator, we get
[tex]A\approx 1725.39[/tex]
The amount after two years is $1,725.39. Therefore, the correct option is (c).
Find the missing probability
P(A) = 0.8
P(B) = 0.05
P(A or B) = 0.6
P(A and B) =
Answer:
2
Step-by-step explanation:
Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard deviation of 110 hours. If exactly 90% of the bulbs die before 930 hours, find the mean lifetime of the bulbs. Carry your intermediate computations to at least four decimal places.
Answer:
sorry bro
Step-by-step explanation:
i really need the points
guys i need so so so help :(((((( thankss
Answer:
38,78461
Step-by-step explanation:
The triangle is composed by two right triangles. the sum of inner angles of a triangle is 180 degrees. If we look at the right one we can say that it’s top angle is 60 degrees. In fact 30 + 60 + 90 = 180
So also the top angle of the biggest triangle is right:
60 + 30 = 90
We can also say that the leg of that triangle on left that lies on the hypotenuse is half of its hypotenuse thanks to the its angles.
Thanks to these informations we can use a theorem, called first Euclid’s theorem that allow us to build a proportion:
6 : 12 = 12 : hypotenuse
6 * hypotenuse = 144
hypotenuse = 24
x = 24 - 6 = 18
For the same theorem:
18 : y = y : 24
y^2 = 432
y = 20,78461
18 + 20,78461 = 38,78461
In ATUV, the measure of _V=90°, VU = 84, TV = 13, and UT = 85. What ratio
represents the cotangent of _T?
U
85
84
T
13
2) What is the probability you roll an odd number on a six-
sided die ?
Answer:
1/2 or 0.5
Step-by-step explanation:
All possible odd values on a 6-sided die include 1, 3, and 5; that is 3 values out of 6 total values. 3/6 or 1/2 is a 0.5 probability.
my last question 30 pts plzzzzzzzzz help
An expression is shown below:
4(m + 3 + 5m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answer:
A) 48m + 12 and 3(2m + 4 + 14m)
B) 48m + 12 is equivalent to 6(m + 2 + 7m) because if you distribute the 6 to everything inside the parentheses, you get 6m + 12 + 42m. This can be simplified further by adding 6m and 42m together, leaving you with 48m + 12.
C) m = 2
6(m + 2 + 7m)
6[2 + 2 + 7(2)]
6(4 + 14)
6(18) 1
108
3(2m + 4 + 14m)
3[2(2) + 4 + 14(2)]
3(4 + 4 + 28)
3(8 + 28) 3
(36) 108
108 = 108
A balloon is 4 ft above the ground. It is released and floats up 3 ft
every second. Write an equation to model the height of the balloon
as a function of time in seconds. Write your answers in the blanks.
Answer:
4+(3 times x)= height of balloon. x = seconds
Step-by-step explanation:
I hope this helps you! :D
Which of the following is not a property of a rectangle
Answer:
I would like to say A because Diagonals of a rectangle Bisect each other at a right angle.
This seems likely
Please Mark as Brainliest
Hope this Helps
Answer:
I think C would be the best answer.
Step-by-step explanation:
Sorry if it was not right ):
Jocelyn has 3.5 yards of ribbon . she needs 0.6 yards of ribbon to make one bow. how many bows can Jocelyn make?
Answer:
[tex]5\frac{5}{6}[/tex] bows
5 whole bows
Step-by-step explanation:
[tex]\frac{0.6}{3.5}: \frac{1}{y}[/tex]
y × 0.6 = 1 × 3.5
0.6y = 3.5
0.6y ÷ 0.6 = 3.5 ÷ 0.6
[tex]y = 5\frac{5}{6}[/tex]
Answer:
Jocelyn can make 5 bows.
Step-by-step explanation:
3.5/.6 = 5.8333333
This means that Jocelyn can make 5 full bows and have a remainder of .83333333 yards of ribbon.
Please help quickly I really don’t understand this question and i’m freaking out.
Answer:
[tex] \frac{4 \sqrt{3x} }{9} [/tex]Step-by-step explanation:
[tex] \frac{4 \sqrt{ {21x}^{2} } }{3 \sqrt{63x} } [/tex][tex] \frac{4 \sqrt{ \frac{21 {x}^{2} }{63x} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x}{3} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x \times 3}{3} } }{3} [/tex][tex] \frac{\frac{4 \sqrt{3x} }{3} }{3} [/tex][tex] \frac{4 \sqrt{3x} }{3} \times \frac{1}{3} [/tex][tex] \frac{4 \sqrt{3x} }{9} [/tex]Hope it is helpful...If g(x) = x^2 – 2x + 11, find g (-2)
Answer:
19
Step-by-step explanation:
g(x) = x^2 – 2x + 11
Let x=-2
g(-2) = (-2)^2 – 2(-2) + 11
Powers first
=4 -2(-2) +11
Then multiply
= 4 +4 +11
Now add
= 19
Can you help me please
Answer:
no solution
Step-by-step explanation:
[tex]\dfrac{2x - 6}{4} > \dfrac{x - 3}{2}[/tex]
The LCD is 4, so multiply both sides of the inequality by 4.
[tex]4 \times \dfrac{2x - 6}{4} > 4 \times \dfrac{x - 3}{2}[/tex]
[tex]2x - 6 > 2 \times (x - 3)[/tex]
[tex]2x - 6 > 2x - 6[/tex]
Subtract 2x from both sides.
[tex]-6 > -6[/tex]
Since -6 = -6, the above statement is false, so there are no solutions.
Answer: no solution
Question 4
Solve for m.
m+7=3* mull
no solution
Infinite
solutions
Answer:
m= -4
Step-by-step explanation:
a) Find the center and radius,
b) Graph -not necessary-
c)Find intercepts if there are any
4. (x-1)² + (y+4)² = 9
Answer:
Radius: 3units
center: (1,-4)
How many 3/4 inch strips for caulk to cover 10 1/2 inches
Answer:
14
Step-by-step explanation:
So let's think smart. If you look at the image I made a diagram. The 3 squares I colored in represent 3/4. It takes 14 3/4 strips to cover 10 1/2 inches.
The Number of 3/4 inch strips required to cover 10 1/2 inches of caulk will be 14
The total inches of caulk to be covered = 10 1/2 inches
The fraction of inch strip to be used = 3/4 inches
To obtain the number of 3/4 inch strop required ;
We divide the total inches of caulk by 3/4
Hence,
10 1/2 ÷ 3/4
21/2 ÷ 3/4
Change the sign to × and take the reciprocal of 3/4 ;
21/2 × 4/3
(21 × 4) / (2 × 3) = 84 / 6
84 / 6 = 14
Hence, the number of 3/4 inch strip required is 14
Learn more : https://brainly.com/question/2610134
HELPPPPPPPPPPPPPPPPPPPP
Answer:
b.
Step-by-step explanation:
c= 3r
such that 3(6) = 18 ...
Giving out brainliestttt answer !!! help me out?!!!
Answer:
F= 60.256
D = 29.744
Step-by-step explanation:
This is a completely different from the way usually I do it
B = arcsin(b·sin(A)a)
= 1.05166 rad = 60.256°
180-60.256-90 = 29.744°