Answer:
x = -17/16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-8 = 16x + 9
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 9 on both sides: -17 = 16x[Division Property of Equality] Divide 16 on both sides: -17/16 = xRearrange/Rewrite: x = -17/16Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -8 = 16(-17/16) + 9Multiply: -8 = -17 + 9Add: -8 = -8Here we see that -8 does indeed equal -8.
∴ x = -17/16 is the solution to the equation.
Find the product. Simplify your answer. (3f–1)(4f+1)
the lifetime of a certain electronic component is a random variable with an expectation of 6000 hours and a standard deviation of 120 hours. what is the probability that the average lifetime of 500 randomly selected components is between 5990 hours and 6010 hours? answer the following questions before computing the probability.
To calculate the probability that the average lifetime of 500 randomly selected electronic components falls between 5990 hours and 6010 hours, assumptions such as the normality of the distribution, independence of lifetimes, and random sampling need to be met before applying statistical theory and computations.
Before computing the probability, we need to make some assumptions and use statistical theory. Here are the questions that need to be answered:
Is the distribution of the lifetime of the electronic component approximately normal?
Are the lifetimes of the 500 components independent of each other?
Are the components in the sample randomly selected from the population?
If the assumptions are met, we can proceed to compute the probability using the properties of the normal distribution and the Central Limit Theorem.
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8 1 practice the pythagorean theorem and its converse form k
The Pythagorean theorem is a fundamental concept in geometry that relates the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Mathematically, it can be expressed as:
a² + b² = c²
where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.
The converse of the Pythagorean theorem states that if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
The Pythagorean theorem is a powerful tool in solving problems involving right triangles. It allows us to calculate unknown side lengths or determine whether a triangle is a right triangle based on the lengths of its sides. It has numerous applications in various fields, including engineering, architecture, physics, and navigation.
Understanding the Pythagorean theorem and its converse is essential for working with right triangles and applying geometric principles. It provides a foundation for further exploration of trigonometry and advanced geometric concepts.
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2.- Al frente de cada uno de los siguientes números, realiza su escritura. Lo debe hacer en
su cuaderno y en orden.
a) 274.345
e) 324.456
i) 89.731.000
b) 3.472.416
f) 12.945.856
j) 99.125.001
C) 2.323.579
g) 24.674.208
k) 100.286.777
d) 8.456.759
h) 56.405.480
How common is SAT coaching? A random sample of students who took the SAT college entrance examination twice found that 427 f the respondents had paid for coaching courses and that the remaining2733 had not. 1+ Construct and interpret a 99% onfidence interval for the proportion of coaching among students who retake the SAT. Follow the four-step process.
The SAT is between (0.1194,0.1058)
Here the question is regarding SAT coaching and constructing a 99% confidence interval for the proportion of students who receive coaching among those who retake the SAT.
Step 1: Identify the sample proportion (p-hat) and sample size (n).
From the data given, we know that 427 students had paid for coaching courses, and 2733 students did not. The total number of students in the sample is 427 + 2733 = 3160. The sample proportion (p-hat) is the number of students who paid for coaching divided by the total number of students: p-hat = 427 / 3160 ≈ 0.1351.
Step 2: Determine the critical value (z*) for a 99% confidence interval.
For a 99% confidence interval, we'll use a z* value of 2.576 (based on a standard normal distribution table).
Step 3: Calculate the margin of error (ME).
ME = z* × √(p-hat × (1 - p-hat) / n) ≈ 2.576 × √(0.1351 × (1 - 0.1351) / 3160) ≈ 0.0268.
Step 4: Construct the 99% confidence interval.
Lower limit: p-hat - ME = 0.1351 - 0.0268 ≈ 0.1083
Upper limit: p-hat + ME = 0.1351 + 0.0268 ≈ 0.1619
The 99% confidence interval for the proportion of students who receive SAT coaching among those who retake the SAT is approximately (0.1083, 0.1619). This means that we can be 99% confident that the true proportion of students who receive SAT coaching in the population falls within this interval.
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Function 1 is defined by the equation y =
; 3
- 2
- 1
Function 2 is defined by the following table.
0
3
7
11
-2
-8
-16
- 24
Which function has a more negative slope ?
Answer:
play a game it will help
Step-by-step explanation:
Answer: Function 1 has the more negative slope at -2 1/3
Step-by-step explanation:
The slope of Function 1 is -(7/3).
We can calculate the slope of Function 2 by taking any two points and calculating a "Rise/Run," or the change in y per a change in x. I'll pick points (0,-2) and (11,-24):
Rise = (-24 - (-2) = -22
Run = (11 - 0) = 11
Rise/Run, or slope = -22/11 or -2
Function 1 has the more negative slope at -2 1/3.
A population of values has a normal distribution with μ=189.2 and σ=83.2. a. Find the probability that a single randomly selected value is between 195.2 and 214.1. Round your answer to four decimal places. P(195.2
The probability that a single randomly selected value from a population with a normal distribution, where the mean (μ) is 189.2 and the standard deviation (σ) is 83.2, falls between 195.2 and 214.1 is approximately 0.1632.
To find the probability, we can standardize the values using the z-score formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.
For 195.2:
z1 = (195.2 - 189.2) / 83.2 = 0.0721
For 214.1:
z2 = (214.1 - 189.2) / 83.2 = 0.2983
Using a standard normal distribution table or a calculator, we can find the area under the curve between these z-scores, which represents the probability:
P(195.2 < x < 214.1) = P(0.0721 < z < 0.2983) ≈ 0.1632
Therefore, the probability that a single randomly selected value falls between 195.2 and 214.1 is approximately 0.1632.
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Complete question is in the image attached below
for the function f(x)=x4−2x2 3. Determine the inflection point(s) of f .
the answers should be in ascending order of x values. use decimals (rounded to 2 decimal places).
The inflection points of the function f(x) = x⁴ - 2x²/3 are at
x = -0.77 and x = 0.77.
To find the inflection points of the function f(x) = x⁴ - 2x²/3, we need to locate the x-values where the concavity of the function changes.
This can be done by finding the second derivative of the function and determining where it equals zero.
First, let's find the second derivative of f(x):
f''(x) = 12x² - 4x/3
Setting f''(x) equal to zero and solving for x:
12x² - 4x/3 = 0
4x(3x - 1) = 0
This equation is satisfied when x = 0 and x = 1/3. However, we need to check the concavity around these points to confirm if they are inflection points.
By analyzing the sign of f''(x) in the intervals (-∞, 0), (0, 1/3), and (1/3, ∞), we observe that the concavity changes at x = -0.77 and x = 0.77.
These are the inflection points of the function f(x).
Therefore, the inflection points of f(x) = x⁴ - 2x²/3 are at x = -0.77 and x = 0.77.
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The discharge rate of a river is a measure of the river’s water flow as it empties into a lake, sea, or ocean. The rate depends on many factors, but is primarily influenced by the precipitation in the surrounding area and is often season Suppose the discharge rate of the Brhamputra River was modelled by D(m)=-m4 +22m3 -147m2 +317m+150 where D(m) represents the discharge rate in thousands of
cubic meters of water per second in month m .
( m = 1 " Jan, m = 2 " Feb )
61. What was the discharge rate in June (summer)
Answer:
Joe mama
Step-by-step explanation:
joe mama + joe mama = joe mama
Solve for j
1 - j/4 = 3
Answer:
j = - 8
Step-by-step explanation:
1 - j/4 - 3
1 is also 4/4
so
4/4 - j/4 = 3
4 - j/ 4= 3
multiply by 4 on both sides
which gets you
-j + 4 = 12
minus 4 from both sides
-j = 8
j = -8
Answer:j=-8 I hope this helps
Step-by-step explanation:
1-j/4=3
Multiply both sides of the equation by 4
which gives you
4-j=12
Move the constant to the right-hand side and change its sign
-j=12-4
Subtract the numbers
-j=8
Change the signs on both sides of the equation
j=-8 - This is your answer
True or False: Perpendicular lines sometimes meet at angles that are not 90°.True or False: Perpendicular lines sometimes meet at angles that are not 90°.
Answer:
false
Step-by-step explanation:
that is the definition of a perpendicular line
Out of all the readers who visit a blog, 11% click on an advertisement. Predict how many readers will click on an advertisement if 500 people visit the blog in one day.
–0.4 = 3d + –10
pls answer and dont delete for no reason. again.
Answer:
3.2
Step-by-step explanation:
I'm guessing you want to find the value of D.
so,
-0.4 = 3d -10
3d = 9.6
d = 3.2
Answer: 3.2
Step-by-step explanation:
-0.4= 3d + (-10)
-0.4= 3d -10
add 10 to both sides
9.6 =3d
d= 9.6/3
d = 3.2
PLSSSS ANSWER ASAP THIS IS FOR MATHHH
Please help! I don't know where to start
Answer:
First find the sum of 15 n-1
Step-by-step explanation:
then you can continue to 2n-1
Round 5.768 to the nearest whole number.
suppose that three cards are randomly selected from a standard deck of 52 cards. what is the probability that each card is a king (k) if the sampling is done without replacement?
Three cards are randomly selected from a standard deck of 52 cards. The probability that each card is a king (k) if the sampling is done without replacement is 1/5525
Probability measures the likelihood of the occurrence of an event. The probability is defined as:
p(A) = n(A) / n(S)
Where:
n(A) = number of possible ways an event A can happens
n(S) = number of possible outcomes.
In a standard deck, there are 4 kings. Hence,
1st draw, the probability it is a king = 4/52
Suppose, that the first card is a king, then the remaining kings are 3 and the remaining cards are 51.
Hence, at 2nd draw, the probability it is a king = 3/51.
Similarly, at 3rd draw, the probability it is a king = 2/50
The probability that each card is a king:
P (3 kings) = 4/52 x 3/51 x 2/50
= 24/13260
= 1/5525
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How many elementary events are in the sample space of the experiment of rolling three fair coins? O2 09 O 8 6
PLLLLLLLLLLEEEEEEEEAAAAAAAASSSSSSSSSSEEEEEEE HELP ME Tracy has forgotten how to complete the square. (A) Give her a detailed description of the process so she can understand how to do it. (B) and provide an example of each.
Answer:
in an equation ax^2+bx+c to complete the square it turns to
a(x+d)^2+e where d=b/2a and e=c-b^2/4a
example:x^2+4x+1=0
complete the square:
d=b/2a=4/2(1)=2
e=c-b^2/4a=1-4^2/4(1)
e=1-16/4=-3
a(x+d)^2+e
1(x+2)^2-3=0
check if it is rigt: (x+2)^2=x^2+4x+4
x^2+4x+4-3=
x^2+4x+1 it is correct
Based on the amount of unsatisfied customers. What would be the cost of Software C?
If the cost of customer acquisition is $50 and the cost of customer retention is $30, then the cost of Software C would be $80,000. This is because 10,000 customers x ($50 acquisition cost + $30 retention cost) = $80,000.
What is acquisition cost?Acquisition cost is the cost associated with obtaining an asset or resource. It includes the purchase price, transportation costs, installation costs, taxes, and any other associated costs.
The cost of Software C can be determined by calculating the total cost of lost customers due to software issues. To do this, companies typically look to the customer lifetime value (CLV) of each customer. CLV is the total revenue generated by a customer over the course of their relationship with the company. By multiplying the CLV by the number of unsatisfied customers, companies can get a good idea of what the cost of Software C is.
For example, if a company has 10,000 customers and their CLV is $100, then the cost of Software C would be $1,000,000. This is because 10,000 customers x $100 CLV = $1,000,000.
The cost of Software C can also be determined by looking at the cost of customer acquisition and retention.
In addition to the cost of lost customers, companies must also factor in the cost of fixing the software issue. This cost can vary depending on the complexity of the issue and the size of the company. Companies should also consider the cost of lost productivity due to the software issue, as well as any other costs associated with the issue.
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Answer:
54665655
Step-by-step explanation:
If repeated samples of size n are taken from a normal population with an unknown variance, then the statistic ______ follows the t distribution with n-1 degrees of freedom
In summary, when repeated samples of size n are taken from a normal population with an unknown variance, the statistic t follows the t-distribution with n-1 degrees of freedom.
If repeated samples of size n are taken from a normal population with an unknown variance, then the statistic t follows the t distribution with n-1 degrees of freedom. When a sample of size n is taken from a normal population with a known variance and mean, the sample mean follows a normal distribution with a mean of μ and a variance of σ2/n. This distribution is known as the sampling distribution of the mean.
However, when the variance is unknown, the sampling distribution of the mean can no longer be calculated using the normal distribution. In this scenario, the sample mean is calculated using a t-distribution instead of a standard normal distribution.The t-distribution is similar to the standard normal distribution. However, it is more spread out and flatter than the standard normal distribution. As a result, the t-distribution has thicker tails than the standard normal distribution, which makes it more suitable for analyzing small samples of data.
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Henry and Samantha have $30 to spend on bags of feed at the petting zoo. Each bag cost $3. Given that H and S represent the numer of bags the Henry (H) and Samantha (S) bought, which expression can be used to represent the amount of money they had leftover.
Answer:
x= 30 - (3h +3S)
Step-by-step explanation:
Can someone please tell me the rest of the answers?
Answer:
35 miles per hour.
223 minutes to reach destination.
Step-by-step explanation:
It's counting down by 35
35 miles per hour.
260/35=7.42857142857
7.42857142857*30=222.857142857
Rounding to nearest whole number
223
SonicIsCoool
On Scratch you tube, Inst and much more here to help :)
Help me!! Please help me find the answer!!
Answer:
x = 42°
Step-by-step explanation:
You can mark the opposite angle from 96° as 96° and the 2 other unknowns as y.
96 • 2 + 2y = 360
168 = 2y
y = 84
x is half of y.
84 ÷ 2 = 42
Answer:
\(x=42^{o}\)
Step-by-step explanation:
Area of a triangle is 180 degrees
Here both the triangles are same so, form an equation:
\(x+x+96=180\)
\(2x+96=180\)
\(2x=180-96\)
\(2x=84\)
\(x=84/2\)
\(x=42^{o}\)
Clarise evaluated this expression.
(66.3 – 14.62) ÷ 0.6 – 0.22
(51.68) ÷ 0.6 – 0.22
(51.68) ÷ 0.42
51.68 ÷ 0.16
32.3
Which errors did Clarise make?
Answer:
(66.3-14.62)/0.6-0.22
(51.68)/0.6-0.22
(51.68/0.6)-0.22
(86.14667)-0.22
85.92667
PLS HELP
Which of the following could be an algebraic expression for the total cost of dinner, less a $20 coupon, divided by 5 people?
05x - 20
O(x-20)+5
O20-5x
O 5x(20)
Answer:
Step-by-step explanation:
(x - 20) ÷ 5.
If a baseball player has a batting average of 0.265, what is the probability that the player will get the following number of hits in the next four times at bat?(A) Exactly 2 hits(B) At least 2 hits I have also attached a reference example.
Solution
For this case we have the following probability given:
p= 0.265
n= 4
Part a
\(P(X=2)=(4C2)(0.265)^2(1-0.265)^{4-2}=0.2276\)Part b
\(P(X\ge2)=P(X=2)+P(X=3)+P(X=4)\)Replacing we got:
\(P(X=2)=(4C2)(0.265)^2(1-0.265)^2=0.2276\)\(P(X=3)=(4C3)(0.265)^3(1-0.265)^1=0.0547\)\(P(X=4)=(4C4)(0.265)^4(1-0.265)^0=0.0049316\)adding the two values we got:
\(P(X>2)=0.2276+0.0547+0.0049316=0.287\)What is the radical equivalent for 197^7/8?
Answer:
\(\sqrt[8]{197^{7} }\)
Step-by-step explanation:
\(\sqrt[8]{197^{7} }\)
What is the equation of the graphed line written in standard form?
2x + 3y = -6
2x + 3y = 6
y=-2/3x-2
y= 2/3x-2
Answer:
What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.
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The following cone has a slant height of 17
cm and a radius of 8
cm.
What is the volume of the cone?
Responses
480π
320π
544π
The formula for the volume of a cone is:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is pi.
In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:
h² = s² - r²
h² = 17² - 8²
h² = 225
h = 15
Now that we have the height, we can plug in the values for r and h into the formula for the volume:
V = (1/3)π(8²)(15)
V = (1/3)π(64)(15)
V = (1/3)(960π)
V = 320π
Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.