Answer:
8 +2/10 +4/100
Step-by-step explanation:
In expanded form, each digit is shown as multiplied by its place value.
__
\(8.24=(8\times1)+(2\times\dfrac{1}{10})+(4\times\dfrac{1}{100})=\boxed{8+\dfrac{2}{10}+\dfrac{4}{100}}\)
The box plots show the average wind speeds, in miles per hour, for two different islands.
Average Wind Speeds on Island A
2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities on Island A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities on Island B, the whiskers range from 1.5 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
Average Wind Speeds on Island B
Which explains, on a given day, which island is more likely to have a wind speed close to its median?
Island A because the median is closer to one end of the box in the box plot.
Island B because the median is closer to the center of the box in the box plot.
Island A because it has a smaller interquartile range.
Island B because it has a larger interquartile range.
Answer:
B
Step-by-step explanation:
I'm sorry if I'm wrong
Answer:
5
Step-by-step explanation:
meant b haha
R is the midpoint of segment PS, Q is the midpoint of segment RS. P is located at (10,-2) and S is located at (5,4). What are the coordinates of Q?
Answer:
(6.25,2.5)
Step-by-step explanation:
Determine the coordinates of the pre-image?
Just find the coordinates and divide the x and y coordinates by the scale factor.
I'll do A.
(4,3)
Divide 4 by 0.5 and 3 by 0.5.
4/0.5=2
3/0.5=1.5
So the original coordinate for A is (2,1.5).
Hope it helps
9) all of the following are required of a binomial distribution except: a) each trial has exactly two outcomes. b) the number of trials is fixed. c) all trials have the same probability of success. d) there must be at least 30 trials.
d) there must be at least 30 trials.
Simplify. \( \frac{-9 y-81}{y+9} \) Question Help: Message instructor D Post to forum
\( \frac{-9 y-81}{y+9} \) simplifies to -9.
To simplify the given expression, \( \frac{-9 y-81}{y+9} \), we need to factor out the common factor of -9 from the numerator.
Factor out the common factor of -9 from the numerator.
\( \frac{-9(y+9)}{y+9} \)
Simplify the expression by canceling out the common factor of (y+9) from the numerator and denominator.
\( \frac{-9 \cancel{(y+9)}}{\cancel{y+9}} \)
The final simplified expression is -9.
\( -9 \)
\( \frac{-9 y-81}{y+9} \) simplifies to -9.
It is important to check for any restrictions on the variable y. In this case, y cannot be equal to -9, as it would make the denominator of the original expression equal to 0 and the expression would be undefined. Therefore, the simplified expression is valid for all values of y except -9.
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Jane read 3/8 of a book for 6 days. How many books did she read?
\(Hey\) \(there!\)
\(The\) \(answer\) \(to\) \(your\) \(question\) \(is\) \(2 \frac{1}{4}\) \(books\).
\(To\) \(solve\) \(this\), \(we\) \(must\) \(multiply\) \(\frac{3}{8}\) \(by\) \(6\)
\(\frac{3}{8} *\frac{6}{1}=\frac{18}{8} =2\frac{1}{4}\)
\(Hope\) \(it\) \(helps!\) \(Have\) \(a\) \(great\) \(day!\)
HELP this is probably easy but I don’t wanna get it wrong (show work please)
Answer:
a=-6
Step-by-step explanation:
p^a=1/p^6
= p^-6 ( a^-b=1/a^b)
since p^a=p^-6
a= -6
Step-by-step explanation:
P*a = 1/P*6can be written as
P*a = P*-6(law of indices)
i.e a = -6
4. imagine that you are creating a frequency table that has so much data it requires binning. if you then went and chose different intervals, how it would affect the frequency table?
If we chose different intervals for binning data in a frequency table can affect the level of detail, the frequency of values, and the distribution of values in each bin. It's important to choose an interval size that is appropriate for the dataset and provides meaningful insights into the data. Here are some ways in which the frequency table could be affected.
Choosing different intervals will result in a different number of bins, which affect the detail. For example, a smaller interval size will result in more bins, which may give a more detailed view of the data.
The frequency of values in each bin will change depending on the interval size. For example, if we have a dataset with values from 0 to 100, and we choose an interval size of 10, we will have 10 bins, each with a frequency count of values falling into that range.
The distribution of values in each bin may vary depending on the interval size. For example, if we have a dataset with values ranging from 0 to 100 and we choose an interval size of 5, we may get a more detailed view of the distribution of values.
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what is the inverse of the function y=5x+30?
The inverse of the function is y = ( 1/5 )x - 6.
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Consider the function,
y = 5x + 30
To find the inverse of the function we interchange x and y then find the equation for y.
Therefore, after interchanging x and y:
x = 5y + 30
Subtracting 30 from each side of the equation.
x - 30 = 5y + 30 - 30
x - 30 = 5y
Now, dividing the whole equation by 5
( x - 30 ) / 5 = 5y / 5
y = ( 1/5 )x - 30/ 5
y = ( 1/5 )x - 6
Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.
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what are the zeros of this function. f(x)=x^2+3x-40
By solving the given equation f(x) = \(x^{2} +3x-40\), the zeroes are -3 and 5.
To solve the given equation we have to do the factorization.
What is factorization: Factorization is the method of writing numbers as the product of their factors or divisors. In other words, we can say finding what to multiply together to get an expression.
To do the factorization, we have to follow the steps as shown below:
\(x^{2} +3x-40\) \(= 0\)
\(-40 = 8 * -5\\\) [ multiplication of 8 and -5 is -40]
\(x^{2}+8x-5x -40\) \(= 0\)
\(x(x+8) -5(x+8)\) \(= 0\)
\((x-5)(x+8)\) \(= 0\)
\(x = 5\) and \(x = -8\) [ The roots or zeroes]
From the above solution, we can conclude that the zeros of the given function \(x^{2} +3x-40\) are 5 and -8.
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largest possible total area of the four pens? maximum area? If so, estimate it. (b) Draw a diagram illustrating the general situation. Let x denote the length of each of two sides and three dividers. Let y denote the length of the other two sides. (c) Write an expression for the total area A in terms of both x and y. A= (d) Use the given information to write an equation that relates the variables. (e) Use part (d) to write the total area as a function of one variable. A(x)= (f) Finish solving the problem by finding the largest area ( in ft 2). ft 2
(a) The largest possible total area of the four pens can be estimated by maximizing the area formula with respect to the variables x and y.
(b) Here is a diagram illustrating the general situation:
```
+-----+-----+
| | |
| x | x |
| | |
+-----+-----+
| |
| y |
| |
+-----+-----+
| | |
| x | x |
| | |
+-----+-----+
```
(c) The total area A can be expressed as:
A = 2x^2 + 2xy
(d) Based on the given information, we can write the equation:
2x + y = 36
(e) Using the equation from part (d), we can solve for y in terms of x:
y = 36 - 2x
Substituting this into the area expression from part (c), we get:
A(x) = 2x^2 + 2x(36 - 2x)
(f) To find the largest area, we need to maximize the function A(x). We can do this by finding the critical points of A(x) and evaluating them to determine the maximum area.
the given information does not provide enough context or constraints to determine the exact values of x and y. Without specific values, we cannot calculate the largest area.
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Taylor has a $30.00 gift card that she can spend at the store. She has already bought a $9.00 picture frame. What is the most she can spend on art supplies?
For the piecewise function, find the values h(- 5), h(0), h(1), and h(4).
Answer:
h(-5) = 2h(0) = 1h(1) = 3h(4) = 6Step-by-step explanation:
You want the value of the piecewise function for various values of x.
Piecewise functionThe first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.
h(-5)For x = -5, the applicable domain is x < -3, so the function is ...
h(-5) = -4(-5) -18 = 20 -18
h(-5) = 2
h(0)For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...
h(0) = 1
h(1), h(4)For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...
h(1) = 1 +2 = 3
h(4) = 4 +2 = 6
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an unreliable study can occur if the . a. survey is very clear b. survey yields consistent results c. test administration is inconsistent
An unreliable study can occur if the test administration is inconsistent
Consistency is the key to success in anything and it implies to the studies and surveys as well. If you want the results of the study to be reliable, then you must be consistent in test administration.
Inconsistency can lead to various issues like improper representation of the feedback which may alter the results. This can lead to various problems.
For example, test performed at certain time may have a different set of people and absence of periodic tests can accommodate feedback from irrelevant people.
Therefore, a proper set schedule must be followed for the tests with consistency.
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Find the value of x.
Answer:
the answer for this question is 66 ie c option .now how you will thank me?
Answer:
C
Step-by-step explanation:
The sum of the angles is 360; n represents number of sides
S = (n - 2) x 180
S = (4-2) x 180
S = 2 x 180
S = 360
Setup the equation and simplify
2x + 10 + x - 20 + x + 40 + x = 360
5x +30 = 360
5x +30 - 30 = 360 - 30
5x = 330
5x/5 = 330/5
x = 66
Suppose that we have digital signals represented as Hamming codes whose number of errors are Poisson distributed with a mean of 36 errors Use Chebyshev's Inequality to compute the lower bound for the number of signals that need to be sent so that the total number of errors are within 10 percent of the expected number of errors with at least 95 percent probability.
Using Chebyshev's Inequality, the lower bound for the number of signals that need to be sent so that the total number of errors are within 10% of the expected number of errors with at least 95% probability is 846.
Chebyshev's Inequality states that for any random variable X with finite mean μ and variance σ², the probability that X deviates from μ by more than k standard deviations is at most 1/k².
In other words,
P(|X-μ| ≥ kσ) ≤ 1/k².
In this problem, we know that the number of errors follows a Poisson distribution with a mean of 36 errors, which means that the mean and variance are both 36.
Let X be the total number of errors in n signals. We want to find the smallest value of n such that
P(|X-μn| ≥ 0.1μn) ≤ 0.05,
where μn = nμ is the expected number of errors in n signals.
Using Chebyshev's Inequality, we have
P(|X-μn| ≥ 0.1μn) ≤ σ²/[0.1²μn²] = σ²/[0.01μ²n²] = 1/25,
where σ² = 36 is the variance of X.
Therefore, we need to solve the inequality
1/25 ≤ 0.05,
which implies n ≥ 846. Hence, the lower bound for the number of signals that need to be sent is 846.
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when eight weavers are employed, and output is 80 baskets, ___________ is equal to 10 baskets.
Labor productivity in this case is equal to 10 baskets.
When eight weavers are employed, and output is 80 baskets, labor productivity is equal to 10 baskets.
A labor productivity measure is a way of estimating the amount of output generated per unit of labor.
The following formula is used to calculate labor productivity:
Total output produced / Total number of workers involved in the production.
Therefore, in this case, labor productivity will be equal to the total output produced divided by the total number of weavers employed.
Mathematically, Labor productivity = Total output produced / Total number of weavers employed
Given,The number of weavers employed, n = 8Output produced, Y = 80 baskets
Substitute the above values into the formula for labor productivity,
Labor productivity = Total output produced / Total number of weavers employed
= 80 / 8= 10
Thus, labor productivity in this case is equal to 10 baskets.
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Find the coordinates of the other endpoint of the
midpoint (-6,23), endpoint (-4.19)
Answer:
(-8 , 27)
Step-by-step explanation:
\((-6,23)= (x ,y )\\\\(-4 ,19)=(x_1,y_1)\\\\x = \frac{x_1+x_2}{2}\\ \\-6 = \frac{-4+x_2}{2}\\ \\-12 =-4+x_2\\\\-12+4 =x_2\\-8=x_2\\\\y = \frac{y_1+y_2}{2}\\ \\23 = \frac{19+y_2}{2} \\\\46 =19+y_2\\\\46-19=y_2\\27=y_2\)
help pls i don’t understand graphs!! <3
Can anybody help me on number 4? Find the measure of each interior angle of the regular polygon.
Answer:
22.5 degrees
Step-by-step explanation:
there are 8 corners in that polygon and there are 180 degrees inside every polygon
so divide 180 by 8
you should get 22.5 degrees
pls helppp I don't understand plsss
what is your question repet otherwise I will say you
Answer:
The third answer
Step-by-step explanation:
?+12=7
subtract 12 from 7
you get -5
then to make sure the answer is right you take -5 and add 12, then you will get 7
PLEASE HELP ME!!!!!!
Answer: \(\frac{-3}{10}\)
Step-by-step explanation:Given:
(b + d) - a
Substitute known values:
(\(\frac{3}{5}\) + - \(\frac{1}{5}\)) - \(\frac{7}{10}\)
Addition and subtraction becomes subtraction:
(\(\frac{3}{5}\) - \(\frac{1}{5}\)) - \(\frac{7}{10}\)
Subtract:
\(\frac{2}{5}\) - \(\frac{7}{10}\)
Common denominators:
\(\frac{4}{10}\) - \(\frac{7}{10}\)
Subtract:
\(\frac{-3}{10}\)
what is the value of the following expression tan (-5pi/6)
The value of the expression tan(-5π/6) can be determined using trigonometric properties and identities.
First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.
The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.
In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.
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Help me pls!!!!!!!!!!
Answer:
m<B= 52
Step-by-step explanation:
2x - 30 + 3x + 10 + 7x + 32 = 180
12x + 12 = 180
12x = 168
x = 14
m<B= 3x + 10
3(14) + 10
52
Need help ppl keep givin me links
Answer:
∠DAB=140
∠BAC=60
∠EBF=40
∠ACB=80
∠BCG=100
Step-by-step explanation:
Clare thinks knowing the measures of 2 angles is enough to show triangle similarity. Do you agree?
1. yes
2. no
Explain your reasoning.
Answer:
yes this is because to find similarity of triangles two interior angles must be the same which automatically means that the lat angle would be the same
The z-score for a particular observation is z = -1.2. This means the observation is
The observation is located to the left of the mean by a distance of 1.2 standard deviations.
How to observe the mean of situation?The z-score of an observation represents the number of standard deviations the observation is away from the mean.
If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.
If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:
observation = μ + (z * σ)
observation = μ + (-1.2 * σ)
This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.
For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.
In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.
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I need help with #9 what you do is find the missing radius to the cylinder
Answer:
Step-by-step explanation:You need to form an equation
To find volume the formula is:
Volume = Length x Width x Height
Substitute in to the formula
188.4 = Length x Width x 15
Rearrange for width and then half it to find the radius
Which function is increasing?
A.f(x)=(0.5)^x
B.f(x)=5*x
C.f(x)=(1/15)^x
D.f(x)=(1/5)^x
The answer will be f(x) = 5*. If f′(x)>0 on an open interval, then f is increasing on the interval and If f′(x)<0 on an open interval, then f is decreasing on the interval.
Which function is making f X larger?For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.The order of the numbers is said to be growing if they are written from smallest to largest, but decreasing order is used when the numbers are written from largest to smallest.You must first compute the derivative, then make it equal to 0, and then determine which zero values the function is negative between in order to determine whether a function is decreasing. In order to determine when the function is negative and, consequently, decreasing, test values on all sides of these.Hence, The answer will be f(x) = 5*. If f′(x)>0 on an open interval, then f is increasing on the interval and If f′(x)<0 on an open interval, then f is decreasing on the interval.
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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