Answer:
x = 14; x= 4
Step-by-step explanation:
(x - 9)²= 25
x - 9 = 5
x = 14
x - 9 = -5
x = 4
Hope this helps!!!
Answer:
x=4 and x=14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x2−18x+81=25
Step 2: Subtract 25 from both sides.
x2−18x+81−25=25−25
x2−18x+56=0
Step 3: Factor left side of equation.
(x−4)(x−14)=0
Step 4: Set factors equal to 0.
x−4=0 or x−14=0
x=4 or x=14
simplify the expression 11•11•11 using exponent
Answer:
\(11^{3}\)
Step-by-step explanation:
= 33
SOMEONE PLEASE HELP TO BE MARKED THE BRAINLIEST
Answer: B
Step-by-step explanation:
Let's work this problem backwards. So, if he has y dollars left after spending 25% the second time or 3/4 of the money left. So, inverse it to get \(\frac{4}{3}\)y. Then, do the same for 20% or 4/5, then 4/3y * 5/4 = 5/3y
Each year the population of Algeland increases by
12% the population is currently
14,365,112 What will the population be 20
years from now?
Using geometric progression we can say In 20 years, there will be about 123,722,400 people living in Algeland.
What is a geometric progression, exactly?Each term in the sequence preceding it is multiplied by a fixed number called a common ratio to produce the next phrase in a series known as a geometric progression (GP).
Why does geometry proceed in the way that it does?
One of the most frequent applications of geometric sequences in daily life is the calculation of interest. To find the term in a series, the initial value is multiplied by a rate raised to a power that is just below the term number.
According to the given information:
Geometric sequence/progression:
Where:
n = number of terms ⇒ n = 20 years
a₁ = first term ⇒ 14,365,112
r = 1 + 12% for annual increase rate ⇒ 1.12
a₂₀ = 14,365,112 (1.12)²⁰⁻¹
a₂₀ = 14,365,112 (1.12)¹⁹
a₂₀ = 14,365,112 (8.6127)
a₂₀ ≈ 123,722,400.1224
a₂₀ ≈ 123,722,400
The population of Algeland 20 years from now will be approximately 123,722,400.
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An independent basic service set (IBSS) consists of how many access points?
An independent basic service set (IBSS) does not consist of any access points.
In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.
Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.
To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.
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mean of 182.5 cm and standard deviation of 10.3. What is the probability that a Dutch male is between 173.5 and 191.5 cm ? Round your answer to three decimal places.
Answer:
The probability that a Dutch male is between 173.5 and 191.5 cm is 0.616
or 61.6%
Step-by-step explanation:
Mean = M = 182.5
Standard Deviation = S = 10.3,
We need to find the z values and then calculate the probabilities,
Probability of being lower than 173.5,
P(X < 173.5),
Finding the z value,
z = (x - M)/S
z = (173.5 - 182.5)/10.3
z = -0.87
Then the corresponding value for the area and hence the probability is,
P(X<173.5) = P(z = -0.87) = 0.1922
P(X < 173.5) = 0.1922
Probability of being lower than 191.5,
P(X<191.5)
Finding the z value,
z =(x-M)/S
z = (191.5 - 182.5)/10.3
z = 0.87
Then the corresponding value for the probability is,
P(X < 191.5) = 0.8078
The probability that a Dutch male is between 173.5 and 191.5 cm is,
P(173.5 < X < 191.5) = P(X < 191.5) - P(X < 173.5)
P(173.5 < X < 191.5) = 0.8078 - 0.1922
P(173.5 < X < 191.5) = 0.6156
To 3 decimal places,
P(173.5 < X < 191.5) = 0.616
P(173.5 < X < 191.5) = 61.6%
Consider the diagram and the paragraph proof below.
Given: Right △ABC as shown where CD is an altitude of the triangle
Prove: a2 + b2 = c2
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to point D on side A B to form a right angle. The length of C B is a, the length of A C is b, the length of A B is c, the length of A D is e, the length of D B is f, and the length of C D is h.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).
Which is the last sentence of the proof?
Because f + e = 1, a2 + b2 = c2.
Because f + e = c, a2 + b2 = c2.
Because a2 + b2 = c2, f + e = c.
Because a2 + b2 = c2, f + e = 1
The last sentence of the proof states, "By the Pythagorean theorem, since a squared plus b squared equals c squared, the sum of f and e is equal to c."
The proof establishes the proportions and similarities between the triangles in the diagram. It shows that the ratios of corresponding sides in the similar triangles hold true, leading to the proportions a/c = c/a and b/c = c/e. These proportions can be rearranged to obtain a2 = cf and b2 = ce.
The next step in the proof adds b2 to both sides of the equation a2 = cf, resulting in a2 + b2 = cf + b2. Since b2 = ce, we substitute ce into the equation, giving us a2 + b2 = cf + ce.
The final step applies the converse of the distributive property, which states that if a + b = c, then a(b + d) = ab + ad. In this case, we have a2 + b2 = cf + ce, which can be rewritten as a2 + b2 = c(f + e).
Therefore, the last sentence of the proof concludes that because a2 + b2 = c2 (as derived from the previous steps), it follows that f + e = c. This statement completes the proof and establishes the relationship between the lengths of the sides and the altitude in the right triangle. Option C is correct.
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) what is the expected value of the distribution that you have created? note that distribution is not the same as data. you have to apply what you know from theory to answer this question.
The expected value of a distribution is the weighted average of all possible values that a random variable can take on.
The expected value of a distribution is calculated by multiplying each possible value by its probability and then summing all of these products.
In other words, the expected value is the mean of the distribution.
To calculate the expected value of a distribution, you can use the following formula:
E(X) = ∑xP(x) , where
E(X) = the expected value,
x = possible value of the random variable,
P(x) = the probability of that value occurring.
For example, let's say we have a distribution with the following values and probabilities:
x: 1 2 3 4 5
P(x): 0.1 0.2 0.3 0.2 0.2
To calculate the expected value, we would multiply each value by its probability and then sum the products:
E(X) = ∑xP(x)
= (1)(0.1) + (2)(0.2) + (3)(0.3) + (4)(0.2) + (5)(0.2)
= 0.1 + 0.4 + 0.9 + 0.8 + 1.0
= 3.2
So, the expected value of this distribution is 3.2.
It is important to note that the expected value is a theoretical value and may not necessarily be observed in actual data. However, it is a useful measure for understanding the central tendency of a distribution.
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what is the formula used to determine whether or not two events are independent
P(A and B) = P(A) × P(B) is the formula used to assess if two events are independent (B).
P(A) is the chance that event A will occur.
The chance that event B will occur is marked as P(B).
If the chance of both occurrences happening at the same time, P (A and B), equals the product of the individual probabilities of each event, P(A) x P(B), the events are called independent.
If, on the other hand, the chance of both occurrences occurring simultaneously is less than the product of the individual probabilities of each event, the events are deemed dependent.
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Please help me!!!!!!!!!
Answer:
396
Step-by-step explanation:
You multiply 3 times 3 times 4 times 11 to find your answer 396.
what is 40 percent of 90 percent
Answer:0.36
or 36
Step-by-step explan: used calculator
1. How do you know th
Answer
Option A is correct.
Fraction of players that made more than 6 baskets = ⅓
Explanation
Number of players that made more than 6 baskets = 4
Total number of players = 12
Fraction of players that made more than 6 baskets = (4/12) = ⅓
Hope this Helps!!!
1. approximately 10% of adults in the united states are left handed. out of a random sample of 500 adults, what is the probability that 8% or fewer will be left handed?
The probability that 8% or fewer of a random sample of 500 adults will be left-handed is approximately 0.246.
The probability that 8% or fewer of a sample of 500 adults will be left handed can be calculated using the binomial distribution. The binomial distribution models the probability of a certain number of successes in a fixed number of Bernoulli trials, where the probability of success remains constant.
In this case, the number of Bernoulli trials is 500 (the sample size), the probability of success is 10% (the percentage of left-handed adults in the population), and the number of successes is the number of left-handed adults in the sample (which we are trying to calculate the probability of).
We can use the binomial cumulative distribution function (CDF) to calculate the probability of 8% or fewer successes (left-handed adults in the sample). This is given by:
P(X <= 40) = binomial_cdf(500, 0.1, 40)
Where X is the number of left-handed adults in the sample.
Plugging in the values, we get:
P(X <= 40) = binomial_cdf(500, 0.1, 40) = 0.246
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A balloon is being inflated mechanically in such a way that the volume is increasing at a constant rate of 15 cm3 /s. If the volume of the balloon was originally 30 cm3, determine the average rate of change of the volume of the balloon with respect to the radius of the balloon, to the nearest centimetre cubed per centimetre, between 0 s and 10s, and between 10 s and 20 s.Discuss the following question:Is the rate of change of volume with respect to radius constant?
The magnitude of the volume of the balloon increases at a faster rate than
the radius of the balloon.
The rate of change of the volume of the balloon with respect to radius is not constant.Reasons:
The rate at which the volume of the balloon is increasing, \(\dfrac{dV}{dt} = 15 \ cm^3/s\)
The initial volume of the balloon, V = 30 cm³
The rate of change of the volume of the balloon with radius is given as follows;
\(\dfrac{\Delta V}{\Delta r}= \dfrac{V_2 - V_1}{r_2 - r_1}\)
\(Volume \ of \ the \ balloon, \ V = \dfrac{4}{3} \cdot \pi \cdot r^3\)
\(V = 30 + \dfrac{dV}{dt} \times t\)
∴ V = 30 + 15·t
At t = 0, V = 30 cm³
Where;
\(r =\sqrt[3]{ \dfrac{3 \cdot V}{4 \cdot \pi} }\)
When V = 30
\(r =\sqrt[3]{ \dfrac{3 \times 30}{4 \cdot \pi} } \approx 1.93\)The radius, r ≈ 1.93 cm.
At t = 10 s., we have;
V = 30 + 15 × 10 = 180
\(r =\sqrt[3]{ \dfrac{3 \times 180}{4 \cdot \pi} } \approx 3.5\)At t = 20 s., we have;
V = 30 + 15 × 20 = 330
\(r =\sqrt[3]{ \dfrac{3 \times 330}{4 \cdot \pi} } \approx 4.29\)Therefore;
Between 0 s. and 10 s., we have;
\(\dfrac{\Delta V}{\Delta r}=\dfrac{180 - 30}{3.5-1.93} \approx 96\)Rate of change of the volume of the balloon with respect to the radius of the balloon to the nearest centimeter, between 0 s and 10 s is 96 cm³/cm.
Between 10 s. and 20 s., we have;
\(\dfrac{\Delta V}{\Delta r}=\dfrac{330 - 180}{4.29 - 3.5} \approx 190\)Between 10 s. and 20 s. the rate of change is approximately 190 cm³/cm.
Therefore;
The rate of change of the volume of the balloon with respect to radius is not constant, but increases as the volume of the balloon increases.
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There are 380 lightbulbs lined up in a row in a long room each bulb has his own switch and it’s currently switched off each bulb is number constitutionally from 1 to 380 you first flip every switch then you flip the switch on every second bulb you then flip the switch on every third bulb this continues until you have gone through the process 380 times
Flipping the bulbs is an illustration of sequence and patterns
19 bulbs would remain on.
How to determine the number of bulbs that will be onThe sequence of turning the bulbs off and on, would change the state of the bulbs until the 380th process.
While changing the state of the bulbs, the bulb at the perfect square positions would remain on.
There are 19 perfect square numbers between 1 and 380 (inclusive)
Hence, 19 bulbs would remain on.
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evaluate the expression 9!/6!
A: 54,000
B: 2!
C: 3/2
D: 504
Answer: D) 504
Step-by-step explanation:
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
6! = 6 x 5 x 4 x 3 x 2 x 1
Using this, we can rewrite the initial expression as:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 6 x 5 x 4 x 3 x 2 x 1
We can see that 6 x 5 x 4 x 3 x 2 x 1 is in both the numerator and the denominator, so we can cancel it out, leaving us with 9 x 8 x 7 which equals 504.
Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. (Enter your answers as comma-separated lists.)
P(x) = x^3 − x^2 − x − 5
number of positive zeros possible number of negative zeros possible number of real zeros possible
According to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.
Descarte's Rule of Signs determines the number of real zeros in polynomial functions.
This indicates that -
The number of positive real zeros in the polynomial function f(x) is less than or equal to an even number depending on the sign change of the coefficients.
The number of negative real zeros in f(x) is an even number equal to or less than the number of sign changes of the coefficients of f(-x) terms.
Here, the polynomial function is given as -
\(P(x)=x^{3}-x^{2} -x-5\) ----- (1)
We have to find out the number of positive and negative real zeros that the given polynomial can have.
The given polynomial already has its variables in the descending powers. So, we can easily determine the number of sign changes in the coefficients of P(x).
So, the coefficients of the variables in P(x) are -
1, -1, -1, -5
From above, we see that -
There is a sign change in the first and second variable coefficients
There is no sign change in the second and third variable coefficients
There is no sign change in the third and fourth variable coefficients
According to Descartes' Rule of Signs, there can be exactly three positive real zeros or less than three but an odd number of zeros.
So, we can determine that the number of positive real zeroes of the given polynomial can be 1.
To find out the negative real zeroes of the given polynomial, we have to find out P(-x) and determine the sign changes in the variable coefficients of P(-x).
From equation (1), we can write P(-x) as -
\(P(x)=x^{3}-x^{2} -x-5\\= > P(-x)=(-x)^{3}-(-x)^{2} -(-x)-5\\= > P(-x)=-x^{3}-x^{2} +x-5\)----- (2)
So, the coefficients of the variables in P(-x) are -
-1, -1, +1, -5
From above, we see that -
There is no sign change in the first and second variable coefficients
There is a sign change in the second and third variable coefficients
There is a sign change in the third and fourth variable coefficients
According to Descartes' Rule of Signs, since there are two sign changes of the coefficient variables, there can be two negative real zeros or less than two but an even number of zeros.
So, we can determine that the number of negative real zeroes of the given polynomial can be 2 or 0.
Thus, according to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.
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Plot the point (−1/2, −5/2) on the coordinate plane.
Kaleb had 65 songs on his mp3 player if he deleted 20 songs what is the ratio of songs he kept to songs he deleted
Answer:
Step-by-step explanation:
1.First find the left songs after delete:
65-20= 45 kept
2.Now find deleted: 20 deleted
3.Ratio to kept to deleted= 45:20
4.Simplify: 9:4
What is the missing angel
The missing angle as labelled in the task content and required to be determined is; 33°.
What is the measure of the missing angle?It follows from the task content that the missing angle is to be determined from the task content.
By the use of trigonometric ratios;
The missing angle, x can be determined as follows;
tan (x) = 9.09 / 14
x = tan-¹ (9.09/14).
x = 32.995°
The missing angle is therefore; 33°.
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What's the predicted number of runs for the player with only 86 hits? Show your equations, plugging in the values, and your steps to the solution. (2 points)
The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.
To solve for the predicted number of runs, we can use the following steps:
Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.
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Find the measure(s) of angle θ given that (cosθ-1)(sinθ+1)= 0,
and 0≤θ≤2π. Give exact answers and show all of your work.
The measure of angle θ is 90° and 450° (in degrees) or π/2 and 5π/2 (in radians).
Given that (cos θ - 1) (sin θ + 1) = 0 and 0 ≤ θ ≤ 2π, we need to find the measure of angle θ. We can solve it as follows:
Step 1: Multiplying the terms(cos θ - 1) (sin θ + 1)
= 0cos θ sin θ - cos θ + sin θ - 1
= 0cos θ sin θ - cos θ + sin θ
= 1cos θ(sin θ - 1) + 1(sin θ - 1)
= 0(cos θ + 1)(sin θ - 1) = 0
Step 2: So, we have either (cos θ + 1)
= 0 or (sin θ - 1)
= 0cos θ
= -1 or
sin θ = 1
The values of cosine can only be between -1 and 1. Therefore, no value of θ exists for cos θ = -1.So, sin θ = 1 gives us θ = π/2 or 90°.However, we have 0 ≤ θ ≤ 2π, which means the solution is not complete yet.
To find all the possible values of θ, we need to check for all the angles between 0 and 2π, which have the same sin value as 1.θ = π/2 (90°) and θ = 5π/2 (450°) satisfies the equation.
Therefore, the measure of angle θ is 90° and 450° (in degrees) or π/2 and 5π/2 (in radians).
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Two students are reading a novel. Ashley reads 10 pages per day. Carly reads 8 pages per day, but she starts early and is already on page 40.Part ADrag numbers to complete a system of equations to represent the situation, using d for days and p for pages. Numbers may be used once, more than once, or not at all.
To represent the situation of Ashley and Carly reading a novel, a system of equations can be formed using variables for days (d) and pages (p). The equations are: Ashley's progress - 10d = p and Carly's progress - 8d = p - 40.
Let's denote the number of days as d and the number of pages read as p. For Ashley, she reads 10 pages per day, so her progress can be represented as 10d = p.
For Carly, she starts early and is already on page 40. This means her progress can be represented as 8d = p - 40. Since she starts on page 40, her progress will be p - 40.
Therefore, the system of equations that represents the situation is:
Ashley's progress: 10d = p
Carly's progress: 8d = p - 40
In these equations, the left side represents the progress of each student in terms of days (d), while the right side represents the progress in terms of pages (p) read.
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help me answer this pls
Answer: 4/5
Message: If this was helpful let me know! :)
write in exponential form
ln (4) = 3x + 1
The given expression [(4) = 3x + 1] in exponential form is [(2)² = 3x + 1].
What is exponential form?An algebraic expression with an exponent is known as its exponential form. An expression is said to be written in the exponential form if it contains an exponent.Writing numbers in the exponential form involve employing bases and powers. It explains how many times we must actually multiply a number in order to obtain the answer. For instance, the number 125 appears to be a typical three-digit number when observed, but when written as 53, we can see that we are multiplying 5 by three to obtain 125, or that 125 is the third power of 5.So, the given expression is:
(4) = 3x + 1
Now, convert the given function into exponential form as follows:
(4) = 3x + 1
(2×2) = 3x + 1
(2)² = 3x + 1
Therefore, the given expression [(4) = 3x + 1] in exponential form is [(2)²=3x+1].
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Solve the compound inequality.
4x-4<-4 or 3x+3 > 15
Graph the solution on the number line.
By solving, the compound Inequality are:
0 > x > 4
Compound Inequality:A compound inequality involving two inequalities with an "or" or "and" conditions. An "or" statement contains a solution where it must satisfy one of the inequalities while an "and" statement contains a solution where it must satisfy both of the inequalities.
We have the two inequalities:
4x - 4 < -4 ___eq.1
3x + 3 > 15___eq.2
To solve the compound inequality:
Now, According to the question:
We take the eq.1
4x - 4 < -4
Add 4 on both sides:
4x -4 + 4 < -4 + 4
4x < 0
Divide by 4 on both sides , we get
x < 0 ___eq.3
We take the eq.2
3x + 3 > 15
Subtract 3 on both sides, we get
3x + 3 - 3 > 15 - 3
3x > 12
And, divide by 3 on both sides, we get:
x > 4 __eq.4
By combining the two inequalities, we have:
0 > x > 4
or in interval notation, the solution set is:
(0, 4)
Now, The solution plot on the number line :
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find the value of y
Answer:
Step-by-step explanation:
\(sin90/10=sin45/y\\ \\ y=10sin45\\ \\ y=5\sqrt{2}\)
Answer:
The answer is
\(5 \sqrt{2} \)
Step-by-step explanation:
By using Pythagoras
Then
\( {y}^{2} + {y}^{2} = {10}^{2} \\ 2 {y}^{2} = 100 \\ {y}^{2} = 50 \\ y = \sqrt{50} = \sqrt{2 \times 25} = 5 \sqrt{2} \)
Find the measure of the that is supplementary to in the diagram below. Enter only the number.
Image showing line A B and line C D that intersect at point E. The angle A E D is labeled 65 degrees.
Answer: 115
Step-by-step explanation: trust me bro free lee
Two angles are supplementary if their sum is 180° thus the angle supplementary to angles m∠AED are m∠DEB and m∠AEC and their measure is 115° both.
What is an angle?The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
As per the given lines, AB intersect CD at E has been drawn below,
m∠AED = 65° (given)
m∠AED + m∠DEB = 180° (supplementary)
m∠DEB = 180° - 65° = 115°.
m∠AED + m∠AEC = 180° (supplementary)
m∠AEC = 180° - 65° = 115°.
Hence "Two angles are supplementary if their sum is 180° thus the angle supplementary to angles m∠AED are m∠DEB and m∠AEC and their measure is 115° both".
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6. Which process was used to obtain the equation shown in Step 2?
Step 1: 1-5-5
Step 2:
4y— 3 = 60
A added to both sides of the equation
B. added 5 to both sides of the equation
C. multiplied both sides of the equation by 12
D. divided both sides of the equation by 12
Answer:
A) added to both sides of the equation
Step-by-step explanation:
Make T the subject of the formula of V=U+10t
Answer:
\(v = u + 10t \\ v - u = 10t \\ \frac{v - u}{10} = t \: \: or \: \: t = \frac{v - u}{10} \)
Answer:
Step-by-step explanation:
V = U + 10T
0 = U + 10T - V (-v from each side)
-10T = U - V ( -10T from each side)
10T = V - U (X-1 from each side)
T = (V - U)/10 (/10 from each side)
a major credit card company has determined that customers charge between $300 and $1500 per month. the monthly amount charged is uniformly distributed. find the standard deviation of the monthly amount charged. (round to four decimal places if needed)
The standard deviation of the monthly amount charged is 346.41
Step 1: Identify the values of a and b, where [a , b] is the interval over which the continuous uniform distribution is defined.
Since it takes between 300 and 1500 minutes to be seated at the restaurant, we have:
a = 300
b = 1500
Step 2: Calculate the variance using the formula Var(x) = \(\frac{(b-a)^{2} }{12}\)
Using the formula for the variance and the values identified in step 1
(a = 300 , b = 1500), we have:
Var(x) = \(\frac{(b-a)^{2} }{12}\)
= \(\frac{(1500 - 300)^{2} }{12}\)
= 1440000/12
= 120,000
the variance is 120,000
Step 3: Calculate the standard deviation by taking the square root of the variance. σ = \(\sqrt{Var(x)}\)
The standard deviation is the square root of the result from step 2 (variance = 120,000)
σ = \(\sqrt{Var(x)}\)
σ = \(\sqrt{120000}\)
= 346.41
The standard deviation of the monthly amount charged is 346.41
To learn more about standard deviation:
https://brainly.com/question/16555520
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