Answer:
The probability that the web site is up is 0.84 = 84%.
Step-by-step explanation:
For each web server, there are only two possible outcomes. Either it is working, or it is not. The probability of a web server being working is independent of any other web server, which meas 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.
Either file server works with a probability of 0.6.
This means that [tex]p = 0.6[/tex]
Two servers.
This means that [tex]n = 2[/tex]
The probability that the web site is up is
At least one server working, which is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.6)^{0}.(0.4)^{2} = 0.16[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.16 = 0.84[/tex]
The probability that the web site is up is 0.84 = 84%.
What fraction is equivalent to eight tentHs
An ice cream truck started the day with 454545 ice cream sandwiches. During a stop at a busy park they sold sss ice cream sandwiches. After the stop, the truck had 212121 ice cream sandwiches remaining.
Write an equation to describe this situation.
How many ice cream sandwiches did the truck sell at the park?
Answer:
45- s= 21
s= 45- 21
=24
so the answer is 24
If we decrease a dimension on a figure, how is the figure’s area affected?
The area decreases.
The area increases.
The area becomes 0.
The area remains the same.
Answer:
A) area decreases
Step-by-step explanation:
Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.
HOPE THIS HELPS
HAVE A GOOD DAY :)
ITS RASPUTIN002
(SAT PREP) Find the value of x in each of the following excersises
Answer:
The answer is 155.
Step-by-step explanation:
We can find the remaining parts of the triangle angles.
USE THE PRESENT VALUE FORMULA TO CALCULATE THE AMOUNT OF MONEY THAT MUST BE INVESTED NOW AT 9% ANNUALLY COMPOUNDED QUARTERLY TO OBTAIN 1,000 IN 4 YEARS.
Answer:
The amount of money that must be invested is $252.
Step-by-step explanation:
Present value formula:
The present value formula is given by:
[tex]P = \frac{F}{(1+r)^n}[/tex]
In which:
P is the present value.
F is the future value.
r is the interest rate.
n is the number of periods.
9% ANNUALLY
This means that [tex]r = 0.09[/tex]
COMPOUNDED QUARTERLY TO OBTAIN 1,000 IN 4 YEARS.
Obtain 1000 means that [tex]F = 1000[/tex]
Compounded quarterly in 4 years, so 4*4 = 16 periods and [tex]n = 16[/tex].
Amount of money that must be invested:
[tex]P = \frac{F}{(1+r)^n}[/tex]
[tex]P = \frac{1000}{(1+0.09)^{16}}[/tex]
[tex]P = 252[/tex]
The amount of money that must be invested is $252.
Martha, Lee, Nancy, Paul, and Armando have all been invited to a dinner party. They arrive randomly, and each person arrives at a different time.
a. In how many ways can they arrive?
b. In how many ways can Martha arrive first and Armando last?
c. Find the probability that Martha will arrive first and Armando last.
Show your work
Answer:
a) 120
b) 6
c) 1/20
Step-by-step explanation:
a) 5! = 120
b) (5 - 2)! = 6
c) 6/120 = 1/20
1 poir
Question 1. Jessica has $1,625.00 to purchase a five-year Certificate of
Deposit (CD). In the chart, there are CD rates frombankrate.com. What
would the account ending balance be at Synchrony Bank if it is
compounded quarterly? *
Use the Compound Interest Formula to calculate the ending balance. A = P(1 + 5)nt
Nationwide
Bank
Nationwide
2.01%
No
Synchrony Bank
all synchrony
1.95%
9514 1404 393
Answer:
$1790.99
Step-by-step explanation:
Given:
$1625 is invested at an annual rate of 1.95% compounded quarterly for 5 years
Find:
the ending balance
Solution:
The compound interest formula applies.
FV = P(1 +r/n)^(nt) . . . Principal P at rate r for t years, compounded n per year
FV = $1625(1 +0.0195/4)^(4·5) = $1625(1.004875^20) ≈ $1790.99
The account ending balance would be $1790.99.
2012
Descriptive Answer Questions
Attempt FIVE questions.
11.
Show the Fisher's ideal index number satisfies both time reversal test and factor
reversal test from the following information
Commodities
2010
Price Expenditure
Price
Expenditure
5
4
32
72
х
6
50
5
28
Y
4
3
18
40
Z
8
40
50
3 XN
10
If side A is 10 inches long, and side B is 24 inches, find the length of the unknown side.
Step-by-step explanation:
Right Triangles and the Pythagorean Theorem. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
e lifetimes of lightbulbs of a particular type are normally distributed with a mean of290 hours and astandard deviation of6 hours. What percentage of the bulbs have lifetimes that lie within 1 standarddeviation to either side of the mean
Answer:
Step-by-step explanation:
[tex]p(\overline{X}-\sigma \leq X \leq \overline{X}+\sigma)\\\\=p(\dfrac{\overline{X}-\sigma -\overline{X} }{\sigma} \leq Z \leq \dfrac{\overline{X}+\sigma -\overline{X} }{\sigma} )\\\\=p ( -1 \leq Z \leq 1)\\\\=2*(\ p (Z \leq 1)-0.5)\\\\=2*(0.8413-0.5)\\\\=0.6826\\\\\approx{68\%}[/tex]
Find the missing segment in the image below
Answer:
The missing segment length is 20.
Step-by-step explanation:
2 is multiplied by 4 to get to 8, so 5 must be multiplied by 4 to get to 20.
The population model given dP/dt â P or dP dt = kP (1)
fails to take death into consideration; the growth rate equals the birth rate. In another model of a changing population of a community it is assumed that the rate at which the population changes is a net rate that is, the difference between the rate of births and the rate of deaths in the community. Determine a model for the population P(t) if both the birth rate and the death rate are proportional to the population present at time t > 0.
Answer:
.
Step-by-step explanation:
Using the formula D = s:t where D equals distance traveled, r equals the average rate of
speed, and t equals the time traveled, choose the expression or equation that correctly
represents this information.
Mary drove 150 miles in three hours. What was her average rate of speed?
=
150 = 3
r = 3 = 150
O p + 150 · 3
Answer: r = 50 miles/h
Step-by-step explanation:
Let r be the rate of average speed.
Then
r = D/t
r = 150/3
r = 50 miles/h
please click thanks and mark brainliest if you like :)
(-72)(-15)= explain
In which direction does the parabola x=2y2+1 open?
A up
B down
C Right
D left
Answer and Step-by-step explanation:
First, we need to set this equation equal to y, which means we need to get y by itself, and all other terms equal to y.
x = [tex]2y^2 + 1[/tex]
Subtract 1, then divide by 2 on both sides.
[tex]x - 1 = 2y^2\\\\\frac{x-1}{2} = y^2[/tex]
Now, take the square root of both sides.
[tex]y=\sqrt{\frac{x-1}{2}}[/tex]
We see that the value with the x (1) is positive, and that we have a square root function, which means the parabola would open to the right.
(If the x value was negative, the square root function's parabola would open to the left)
So, C (Right) is the correct answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
i need help with this question asapppppp
9514 1404 393
Answer:
$11,680.58
Step-by-step explanation:
Usually, I would say copy the example, using 70,000 instead of 55,000. However, the example you show has a couple of errors in it. You need to do what it says, not follow what it did.
__
The first 48,535 is taxed at 15%, so the tax is 0.15×48535 = 7280.25.
The next (70,000 -48,535) = 21,465 is taxed at 20.5%, so the tax is ...
0.205×21,465 = 4400.325 ≈ 4400.33
The the total tax due on $70,000 is ...
$7280.25 +4400.33 = $11,680.58 . . . . tax due on $70,000
_____
Additional comments
The example shown has a couple of errors. The tax on the excess amount is figured at 2.05%, not 20.5%, and the 132.53 value from that is shown as 132.23.
__
Any tax table like this one can be reduced to a set of simpler formulas. Here are the formulas for the brackets shown in your tax table.
≤ 48535 -- income × 0.15
≤ 97069 -- income × 0.205 -2669.425
≤ 150,473 -- income × 0.26 -8008.22
≤ 214,368 -- income × 0.29 -12,522.41
> 214,368 -- income × 0.33 -21,097.13
In this case, the second row of this simpler table would give the tax on $70,000 as ...
tax = 70,000 × 0.205 -2669.425
tax = 14350 -2669.425 = 11680.575 ≈ 11,680.58 . . . same as above
find the range of values of a for which 11- 2a>1 is ____
Answer:
a<5
Step-by-step explanation:
11-2a>1
-2a>1-11
-2a>-10
a<5
Scientists have increased their ability to make observations beyond their own senses through the invention of specialized equipment such as Xray telescopes.
Which best explains how such technology has affected society?
Technology has replaced humans' need for independent observation and thought.
Technology has replaced humans' need for independent observation and thought.
Technology has replaced the need for the experimentation in the scientific process.
Technology has replaced the need for the experimentation in the scientific process.
Human knowledge of the universe is limited by ineffective technology.
Human knowledge of the universe is limited by ineffective technology.
Human knowledge of the universe beyond Earth has increased.
Answer:
D
Step-by-step explanation:
A is rather a strange choice. The tools are used as extensions of our senses. That's all that technology has done. We still need to observe things for ourselves if we are to learn. I actually really do not know what this statement means. My answer reflects what I think is true. Our need to observe and think is not hindered.
B is never going to be true. We still have to test things out, even with the best tools that we have.
C: The exact opposite is true. Our knowledge of the universe has expanded beyond our belief with the better tools of technology that we have.
D: This is the opposite of C and is the answer.
Find the difference between the result of one sixth of product of 10 and 3 multiplied by 4 and 30
Pleas helppppp ;_-((((((
Answer:
10 or -10,
Read the explanation
Step-by-step explanation:
Rewrite this problem as a numerical expression. As per the wording of this problem, there can be two expressions derived.
1. [tex]((\frac{1}{6}(10*3)*4)-30[/tex]
2. [tex]30-((\frac{1}{6}(10*3)*4)[/tex]
Simplify, remember the order of operations. The order of operations is the sequence by which one is supposed to perform operations in a numerical expression. This order is the following:
1. Parenthesis
2. Exponents
3. Multiplication or division
4. Addition or Subtraction
Use this sequence when simplifying and solving the expression:
Expression 1
[tex]((\frac{1}{6}(10*3)*4)-30\\\\=((\frac{1}{6}(30)*4)-30\\\\=(5*4)-30\\\\=20 - 30\\\\= -10[/tex]
Expression 2
[tex]30-((\frac{1}{6}(10*3)*4)\\\\=30-((\frac{1}{6}(30)*4)\\\\=30-(5*4)\\\\= 30-20\\\\= 10[/tex]
a man spends RS 608 a month. If he earns Rs 640, what percentage of his invome does he save??.
Please explanation
Answer:
5%
Step-by-step explanation:
given,
Earns= Rs 640
spends= Rs 608
saves= (Rs 640 - Rs 608)
=Rs 32
therefore, 32/640x100
answer = 5%
Answer From Gauth Math
Answer:
5%
Step-by-step explanation:
save=640-608=32
(32/640)*100%
5%
what Is the si unit of temperature
Answer:
the Si unit of temprature in Kelvin (K)
Step-by-step explanation:
Answer:
The answer is Kelvin (k).
Step-by-step explanation:
The kelvin (K) is defined by taking the fixed numerical value of the Boltzmann constant k to be [tex]1.380649*10^{-23}[/tex] when expressed in the unit of joule per kelvin. The temperature 0 K is commonly referred to as "absolute zero." On the widely used Celsius temperature scale, water freezes at 0 °C and boils at about 100 °C. One Celsius degree is an interval of 1 K, and zero degrees Celsius is 273.15 K. An interval of one Celsius degree corresponds to an interval of 1.8 Fahrenheit degrees on the Fahrenheit temperature scale.
The kelvin is also the fundamental unit of the Kelvin scale, an absolute temperature scale named for the British physicist William Thomson (known as Lord Kelvin). An absolute temperature scale has as its zero point absolute zero (−273.15° on the Celsius temperature scale and −459.67° on the Fahrenheit temperature scale), the theoretical temperature at which the molecules of a substance have the lowest energy; hence, all values on such a scale are nonnegative.
14. In a garden 746496 apple trees are arranged in such a way that, there are as inany rows as there are in a row. How many rows are there in the garden
Answer:
864
Step-by-step explanation:
do the square root of the total number
Oh Brian~
I need help again
Answer:
18c^3d^9
Step-by-step explanation:
2c^3 d^2 * 9d^7
We know that we add the exponents when the base is the same
2*9 c^3 d^(2+7)
18c^3d^9
Julie wanted to find out the approximate percentage of non-traditional female college students at public universities. She decided to randomly select 25 females from each university in her state and collect and analyze the data.
Select the statement that is TRUE.
The 25 females that Julie interviews are the sample, and the females that Julie does not interview are the population.
The 25 females that Julie interviews are the sample, and all female college students at state universities are the population.
All female college students at state universities are the sample, and the 25 females that Julie interviews are the population.
The female college students at state universities are the sample, and the female college students at all universities in the United States are the population.
To solve this question, we need to understand sample and population concepts.
From this, the answer is:
The 25 females that Julie interviews are the sample, and all female college students at state universities are the population.
Example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents, which is the population of the study.
The sample will be: 1000 randomly selected New York state residents
The population will be: All New York state residents
In this question:
Sample: 25 females from each university in her state.
Population: All female college students in her student.
Thus, the correct statement is:
The 25 females that Julie interviews are the sample, and all female college students at state universities are the population.
For a similar example, you can check https://brainly.com/question/24331410
Which function below has the following domain and range?
Domain: { – 7, - 5, 2, 6, 7}
Range: {0, 1, 8)
o {(1, – 5), (8, 7), (0, 6), (1, – 7), (0, 2)}
o {(-7,0), ( – 5,1), (2, 8), (6,5), (7, 7)}
o {(-7,7), (0,8)}
o {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}
The function that has the given domain and range is: D. {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}.
How to Determine the Domain and Range of a Function?A function is a relation that consists of a domain (a set of x-values) and a corresponding range (set of y-values).
Thus, each ordered pair in a function is expressed (x, y), where all values of x make up the domain, while tehri corresponding y-values make up the range of the function.
Thus, for a function given as, {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}:
The set of x-values is, -7, -5, 2, 6, and 7. Therefore, the domain is: { – 7, - 5, 2, 6, 7}.
The set of y-values is: 0, 1, and 8. Therefore, the range is: {0, 1, 8).
Thus, the function that has the given domain and range is: D. {(2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)}.
Learn more about domain and range of a function on:
https://brainly.com/question/10197594
#SPJ1
Answer: (2,0), ( – 5, 1), (7,8), (6,0), ( – 7, 1)
Step-by-step explanation: TCB
help, please!
find x
This shape consists of two primary special triangles, 30-60-90 and 45-45-90.
the side with the 60° will be half of the hypotenuse because 30° is across from it.
the side with the 30° will be 5.5√3 because 60° is across from it, and any sides that has 60° across from it is associated with a √3.
x is 5.5√6 because any sides that is "below" the 45° angles are associated with a √2 times the side that's above the 45°
which of the following equations has both 1 and -3 as a solution?
A). x^2-2x-3=0
B). x^2+2x-3=0
C). x^2-4x+3=0
D). x^2+4x+3=0
PLEASE HELP 40 POINTS
Express each logarithm in terms of ln 3 and ln 5.
ln 81 / 125
The solution is 4ln3 - 3ln5, which is correct option(C).
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmatic operation are called arithmatic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
According to the problem, we will use some of the basic logarithmic properties,
Given expression,
⇒ ln81/125
⇒ ln81 - ln125 [used property : logₐ(x/y) = logₐx - logₐy]
⇒ ln3⁴ - ln5³ [ 81 =3⁴ and 125 = 5³ ]
⇒ 4ln3 - 3ln5 [used property : logₐ(xⁿ) = nlogₐx]
Hence, the solution is 4ln3 - 3ln5
Learn more logarithmic properties here:
brainly.com/question/24211708
#SPJ2
If two numbers differ by 9 the same of their squares is 653. What are the numbers?
Answer:
Two numbers differ by 9 and the sum of their square is 653. What are the numbers?
Well,that's a mathematical question from algebra and it's quite difficult to answer such questions by writing through the circumstances offered by apps like quora.
However,I have tried to answer your question in an understandable way.Hope you may not find it difficult to analyze.
Let the numbers be x and (9+x)
Therefore,according to given,
x^2 + (9+x)^2 =653
=>x^2 + (9)^2 + x^2 + 2×(9)×(x)=653 (Applying the formula of (a+b)^2)
=>x^2 + 81 + x^2 + 18x =653
=>2x^2 + 18x + (81-653)=0
=>2x^2 + 18x - 572=0
=>2x^2 + (44x - 26x) - 572=0
=>2x^2 + 44x - 26x - 572=0
=>2x(x + 22) - 26(x + 22)=0
=>(x + 22)(2x - 26)=0
But since the number can't be negative
Therefore, x=13
Hence,the required numbers are 13 and 22.
Step-by-step explanation:
in first hope you like it
(5.5 X10^6 + 6.3 X10^6)2
Answer:
(5.5×10⁶+6.3×10⁶)×2
= (5.5+6.3)×10⁶×2
= 11.8×10⁶×2
= 23,600,000
