Answer:
I belive so it is
The slope: 3/2
The y-intercept: (0,9)
Step-by-step explanation:
FIND THE ERROR Fern is finding the slope of the line that passes through (-2, 8) and (4. 6). Determine in which step she made an error. Ex
Answer:
Step 1, she reversed the values of x. It should have been 4 - (-2) not -2 - 4.
Step-by-step explanation:
Fern made a mistake in writing equation [1] where she wrote {-2 - 4} in the denominator in place of {4 -(-2)}.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept
Given is Fern who is finding the slope of the line that passes through (-2, 8) and (4, 6).
In order to find the slope of the line, the following formula is used -
m = (y₂ - y₁)/(x₂ - x₁)
So, the slope of the line passing through the given points can be calculated using the following steps -
m = (6 - 8)/{4 -(-2)} ..[1]
m = -2/6
m = -1/3
Fern made mistake in writing equation [1]. She should have written
{4 -(-2)} in the denominator in place of {-2 - 4}
Therefore, fern made a mistake in writing equation [1] where she wrote {-2 - 4} in the denominator in place of {4 -(-2)}.
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It cost Chloe $7.05 to send 47 text messages. How many text messages did she send if
she spent $26.70?
Answer:
178 text messages
Step-by-step explanation:
You have do 7.05 times 3 and you get 21.15. Then you do 26.70 minus 21.15 and you get 5.55. Then you do 7.05 divided by 47 then you get 0.15. SO each messages is 0.15 cents so you do 0.15 times 37 and you get 5.55 and then you add 21.15 and 5.55 and you get 26.70. Then you take 141 and add it to 37 and you get 178 as your answer
What is a budget?
only a savings plan
savings and spending plan
only a spending plan
Answer:
Step-by-step explanation:
A plan to only spend x amount of money while shopping
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
which of the following are continuous functions of time? (a) the quantity of gas in the tank of a car on a journey between new york and newark. continuous not continuous (b) the number of students enrolled in a class during a semester. continuous not continuous
(a) The quantity of gas in the tank of a car on a journey between New York and Newark is a continuous function of time.
(b) The number of students enrolled in a class during a semester is also a continuous function of time.
(a) The quantity of gas in the tank of a car on a journey between New York and Newark is a continuous function of time.
As the car travels, the amount of gas in the tank changes continuously without any abrupt jumps or discontinuities.
(b) The number of students enrolled in a class during a semester is also a continuous function of time. The enrollment count can change gradually as students join or leave the class, and there are no sudden jumps or interruptions in the enrollment process.
Therefore, both (a) the quantity of gas in the tank of a car and (b) the number of students enrolled in a class during a semester are continuous functions of time.
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The park is a rectangular park with an area of 20 square miles. The park is 4 miles wide. What is the length in miles?
Answer:
5 miles.
Step-by-step explanation:
Because area is just length times width so in that sense 20/4 is 5 :)
A production process operates with 1% nonconforming output. Every hour a sample of 25 units of product is taken, and the number of nonconforming units counted. If one or more nonconforming units are found, the process is stopped and the quality control technician must search for the cause of nonconforming production.
a. What is the probability that 1 or more nonconforming units is found?
b. What is the probability that exactly 3 units are nonconforming?
a. The probability that 1 or more nonconforming units are found is 0.2311.
b. The probability that exactly 3 units are nonconforming is 0.000058.
a. To solve the problem, you can use the complement rule. The complement rule states that the probability of an event occurring is 1 minus the probability of the event not occurring. So, in this case, the probability that no nonconforming units are found in a sample of 25 units is:
P(no nonconforming) = (0.99)²⁵ = 0.787.
Therefore, the probability that 1 or more nonconforming units are found is:
P(1 or more nonconforming) = 1 - P(no nonconforming) = 1 - 0.787 = 0.213.
Rounded to four decimal places, this is 0.2311.
b. To solve the problem, you can use the binomial probability formula:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k).
Here, n = 25 is the sample size, k = 3 is the number of nonconforming units, and p = 0.01 is the probability of a unit being nonconforming.
Using the formula, we get:
P(X=3) = (25 choose 3) * (0.01)³ * (0.99)²² = 2300 * 0.000001 * 0.5459 = 0.000058.
Rounded to six decimal places, this is 0.000058.
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please help urgent due in 30 minutes
Answer:
10X^2-39x+14
(5x-2)(2x-7
PLEASE HELP ASAP WILL GIVE BRAINLIEST Question 1 of 10
Which point lies on the line described by the equation below?
y + 4 = 4(x-3)
A. (1,-11)
B. (3,-4)
C. (1,11)
D. (0,0)
E. (-2,3)
O F. (2,9)
Answer:
(3, -4)
Step.
The coordinates of the point which lies on the equation is A ( 3 , -4 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
y + 4 = 4 ( x - 3 ) be equation (1)
when x = 3 and and y = -4
Substituting the values of x and y in the equation , we get
-4 + 4 = 4 ( 3 - 3 )
0 = 4 ( 0 )
0 = 0
Therefore , the point A ( 3 , -4 ) lies in the equation
Hence , the coordinates of the point is A ( 3 , -4 )
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Help me with my math, please!!!!!!!
Answer:
Answer is A
Function is increasing
f(x) was - 6 was below x-axis and then it reached 0 meaning it was rising or increasing.
What is the sum of 34 + 19 is
53
4 + 9 = 13, the one carries over, so 3 + 1 + 1 = 5
Answer:
53
Step-by-step explanation:
9 add 4 gives you 13 10 plus 30 is 40 add 13 53
Subtract the polynomials
(3x² + 2x − 5) – (4x² – 3x − 4)
A:-7x²+5x-9
B:7x²-x-9
C:x²-x-9
D:-x²+5x-1
please helpppp asap
Answer:
-x² + 5x - 1
Step-by-step explanation:
separate the x², the x, and the constants (numbers without any x).
3x² - 4x² = -x²
2x - -3x = 2x + 3x = 5x
-5 - -4 = -5 + 4 = -1.
we have -x² + 5x - 1
please help me i will give u free pts if u answer it correctly
Answer:
is it in adopt me?
cause I'm only thinking of adopt me rn
Answer:
a c c b d b a a
Step-by-step explanation:
answer this question for me.
Answer: 5.7 (rounded)
Step-by-step explanation: The formula to find the diagonal of a square is \(\sqrt{2\) * a, where a is a side length on the square. Since we are solving for half of a diagonal, we use this formula and divide our result by two. We start by multiplying root 2 by 8 and we get 11.31371, next we divide by two and we get 5.656855 which is 5.7 when rounded.
Can any kind soul help me ASAP!
Answer:
the answer is B
x = 1
Step-by-step explanation:
the symmetry is in the middle of the curve like a mirror and the equation of the mirror or symmetry line is x=1
help if you know it pls don't use this as a opportunity to get points cause I really need the right answers for this test or I will fail the quarter.
Answer:
1. False
2. True
3. Sorry luv I don't know this one
4. True
5. False
6. False
Hope you pass and don't fail the quarter :)
A spring has a natural length of 15 cm. A force of 30 N is required to keep the spring stretched to a length of 25 cm. Calculate the work that will be required to stretch the spring from 25 cm to 30 cm.
Answer:
C. 1.875 J
Step-by-step explanation:
You want the work done stretching a spring from 25 cm to 30 cm, given that the force required to stretch it to 25 cm from its natural length of 15 cm is 30 N.
Spring constantIn newtons per meter, the spring constant is ...
k = (30 N)/(0.25 m -0.15 m) = 300 N/m
WorkWork is the product of force and distance. When the force is a function of distance, the work can be found by integrating:
dW = k(x -0.15)dx
\(\displaystyle W=\int_{0.25}^{0.30}300(x-0.15)dx = \dfrac{300}{2}((0.30-0.15)^2-(0.25-0.15)^2)\\\\=150(0.0125)=1.875\quad\text{joules}\)
The work required to stretch the spring to 30 cm is 1.875 J.
__
Additional comment
The units of work (energy) used here are newton-meters (joules), so the distance dimensions need to be in meters. 15 cm = 0.15 m, for example.
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Question 3 Let X1, X2,..., Xn be independent random variables, each having a uniform distri- bution over (0,1). Let M = maximum (X₁, X₂,..., Xn). Show that the distribution function of M, FM(-), is given by FM(x)=x, 0≤x≤1 What is the probability density function of M?
The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.
The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.
In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.
For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).
The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).
To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.
The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.
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you have a set of numbers uniform between 0 and k. everyday you can choose a number, but you can only keep m numbers. every day, you can also discard a number. how will you maximize sum of m numbers
Calculate the average value of the numbers in the set. Since the numbers are uniformly distributed, the average will be (k/2).Start by selecting the m smallest numbers from the set..Compare the average value to the largest number among the selected m numbers. If the average value is greater, discard the largest number and replace it with a new number from the set.
To maximize the sum of m numbers from a set of uniformly distributed numbers between 0 and k, you can follow these steps:
1. Calculate the average value of the numbers in the set. Since the numbers are uniformly distributed, the average will be (k/2).
2. Start by selecting the m smallest numbers from the set.
3. Compare the average value to the largest number among the selected m numbers. If the average value is greater, discard the largest number and replace it with a new number from the set.
4. Repeat step 3 until you have iterated through all the numbers in the set.
By following these steps, you are ensuring that the m numbers you keep have the smallest values compared to the average value. This will help maximize the sum of the m numbers.
Please note that the solution assumes a uniform distribution and that the set contains enough numbers to choose from each day. Additionally, this answer is provided based on the given terms and may not necessarily be the most optimal strategy in all scenarios.
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3/5 equals ?/100.
I really need help
Answer:
? = 60.
Step-by-step explanation:
Multiply 3/5 by 20. The answer will yield that 3/5 = 60/100
Answer:
Missing number = 60
Step-by-step explanation:
★ Let the missing number be x.
Forming the equation,
\( \sf \rightarrow \: \frac{3}{5} = \frac{x}{100} \)
Now the value of x will be,
\( \sf \rightarrow \: \frac{3}{5} = \frac{x}{100} \)
\( \sf \rightarrow \: x = \frac{3}{5} \times 100 \)
\( \sf \rightarrow \: x = \frac{300}{5} \)
\( \sf \rightarrow \boxed{ \sf x = 60}\)
Hence, the value of x is 60.
PLS HELP
This is the one thing I need to do for my assignment and I don't know it
Answer:
Step-by-step explanation:
the square root of 74 is 8.60
Even if you round it should be 8.7 but 8.5 is only one digit down from 8.60 if that makes sense so 8.6 is only one digit from 8.5 with is a comparable value
CAN SOMEONE PLS HELP MEE
Two triangles are graphed in the xy-coordinate plane.
Which sequence of transformations will carry △QRS
onto △Q′R′S′?
A. a translation left 3 units and down 6 units
B. a translation left 3 units and up 6 units
C. a translation right 3 units and down 6 units
D. a translation right 3 units and up 6 units
Answer:
the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.
Step-by-step explanation:
What does it mean when you write your measurement as the mean ± standard deviation? (i.e., how much of the data fall within this range?)
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
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Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
To find the z-score for a sales associate who earns $37,500, we can use the formula:
z = (x - μ) / σ
Where:
x is the value we want to convert to a z-score (in this case, $37,500),
μ is the mean of the distribution (in this case, $32,500), and
σ is the standard deviation of the distribution (in this case, $2,500).
Substituting the given values into the formula, we have:
z = (37,500 - 32,500) / 2,500
z = 5,000 / 2,500
z = 2
Therefore, the z-score for a sales associate who earns $37,500 is 2.
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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.
Explanation:The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.
We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:
Z = (Value - Mean) / Standard Deviation
So, the z-score for an associate earning $37,500 would be:
Z = ($37,500 - $32,500) / $2,500
This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.
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A random sample of 12 joggers was asked to keep track and report the number of miles they ran last week. The responses are
5.5 7.2 1.6 22.0 8.7 2.8
5.3 3.4 12.5 18.6 8.3 6.6
a. Compute the three statistics that measure central location.
b. Briefly describe what each statistic tells you.
a. The three statistics that measure central location are:
Mean = 8.825 miles.Mode = no modeMedian = 7.95 miles.b. The mean tells us the average number of miles jogged by the sample of 12 joggers last week. Median tells us the midpoint of the data. The mode give us insight into what distance is most frequently jogged by the sample
a. Mean: average of the data = (5.5 + 7.2 + 1.6 + 22.0 + 8.7 + 2.8 + 5.3 + 3.4 + 12.5 + 18.6 + 8.3 + 6.6) / 12 = 8.825 miles.
Median: middle value of the data when arranged in order = 7.95 miles.
Mode: most common value in the data set = there is no mode since no value is repeated.
b. The mean shows us how many miles on average the sample of 12 joggers covered last week. The median provides the data's midpoint, which is helpful when the mean may be impacted by extreme numbers. When it is present, the mode can help us understand what distance the sample covers most frequently. Since there is no mode in this instance, this number is useless.
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If two triangles are similar with a zoom factor of 3, and the smaller one has area 12 sq. units, what is the area of the bigger one? the answer is 108 sq units, im curious how it got there
Answer:
Please check explanations
Step-by-step explanation:
Mathematically, the area of a triangle
A = 1/2 * b * h
b is base, h is height
For 12 square units, we can have a base of 6 and a height of 4
By tripling the dimensions for the second triangle, we will have a triangle of 18 by 12
So the new area is;
A = 1/2 * 12 * 18
That was how we got 108 square units
The sum of elght and a number is one hundred. What is the number?
Answer:
92
Step-by-step explanation:
\(8+x=100\\\\x=92\)
Answer: B. 92
Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92
If n=-2 should we first add 7 to n or
multiply n by 3? Explain.
Answer: Add 7 to n to make it a positive number and easier to work with
Step-by-step explanation:
first all 7 then divide by divide by 3
What estimate can i do for 3.5x0.4
Answer:
The answer is 1.4
alisia goes to the gym every 3 days. Luis goes the the gym every 4 days. They are both at the gym on the 12th day. When will be the next day they are both at the gym?