The approximate mean and standard deviation of the number of chips meeting specifications are: μ = 16.2; σ = 1.273
In this question, we have been given a factory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded.
we need to find the approximate mean and standard deviation of the number of chips meeting specifications
Since 90% meet specifications we can say p = 0.9
So, q = 1 - p
q = 1 - 0.9
q = 0.1
here, a sample size is n = 18
So, the mean would be,
μ = np
μ = 18 * 0.9
μ = 16.2
And the standard deviation would be,
σ = √npq
σ = √(18 * 0.9 * 0.1)
σ = 1.273
Therefore, the mean (μ) = 16.2 and the standard deviation (σ) = 1.273
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We get statistics of 2017-2018 Average Starting Teacher Salaries by State measured by NEA. Given that the salary of Colorado is 33483, the sample size is 4,900 and the standard deviation is 602.694. a. What is the margin of error for a 95% confidence interval in Colorado
A train is 152 meters long and runs 63.36 km/h. A person walks in the same direction as the train. The train takes 8 seconds to pass the person. Then the person walks m/s. Enter the answer
We can start by converting the speed of the train from km/h to m/s:
63.36 km/h = 63.36 * 1000 m/3600 s = 17.6 m/s
We can use the formula:
distance = speed x time
to find the distance the train travels in 8 seconds. Since the person is walking in the same direction as the train, the relative speed between the train and the person is the difference between their speeds:
relative speed = train speed - person speed
The train covers the length of itself (152 meters) plus the distance traveled by the person in 8 seconds. We can set up the equation:
152 = (17.6 - person speed) x 8 + person speed x 8
152 = 140.8 - 8 person speed + 8 person speed
152 - 140.8 = 0.8 person speed
11.2 = 0.8 person speed
person speed = 11.2 / 0.8 = 14 m/s
Therefore, the person is walking at a speed of 14 m/s.
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WILL MARK BRAINLIEST. THERE IS AN ATTACHED PICTURE
Answer:
its the 2nd and 3rd option
Step-by-step explanation:
Find the quadratic equation!
The quadratic equation on the given graph is y = (x - 2)² - 9.
How to find the quadratic equation?For a quadratic with leading coefficient a and vertex (h, k), the equation is:
y = a*(x - h)² + k
Here we can see that the vertex is at (2, -9), replacing that:
y = a*(x - 2)² - 9
We can see that the y-intercept is at y = -5, then:
-5 = a*(0 - 2)² - 9
-5 = a*4 - 9
-5 + 9 = a*4
4 = a*4
4/4 = a
1 = a
The quadratic is:
y = (x - 2)² - 9
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Solve two steps equations
Answer:
21 hazardous state waste sites in State Y.
Step-by-step explanation:
x=2n-8
x=34
2n-8=34
2n=42
n=21
China and Germany specialize in the production of silk and automobiles respectively. They are considered the best at their specializations. Assume that China chooses not to trade silk with Germany in exchange for automobiles. Which perspective is China using in regards to not trading to another country which provides a specialization they do not have? O absolute advantage O comparative advantage O new trade theory O porter's model
both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
Explain about comparative advantage.China is using the comparative advantage perspective in regards to not trading silk with Germany in exchange for automobiles. According to the theory of comparative advantage, a country should specialize in producing and exporting the goods or services that they can produce more efficiently or at a lower opportunity cost compared to other goods and services.
According to question;In this case, China has a comparative advantage in producing silk and a comparative disadvantage in producing automobiles compared to Germany, which has a comparative advantage in producing automobiles and a comparative disadvantage in producing silk.
Hence, both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
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Hazel plans to mow her neighbors' yards to earn money. She charges a base fee of $25 and $9 for every hour she mows. The amount she earns per yard can be represented by the linear function m(t) = 9t + 25. What is the value of m(2), and what is its interpretation?.
Answer:
the value of M(2) would be 43
Step-by-step explanation:
M(2) mean y
y = 9t+25
= y=9(2) + 25
y = 18 + 25
y = 43
Answer:
Step-by-step explanation:
M(2) = 43; If Hazel mows 2 yards, she will earn $43.
Find the slope of the line that passes through (4,9) and (1, 16).
Simplify your answer and write it as a proper fraction, improper fraction
Answer:
-7/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
16-9/1-4
7/-3
-7/3
Best of Luck!
Answer:
-3/7Step-by-step explanation:
First label the pairs as x1, y1, x2, and y2. 4 would be x1 and 9 would be y1. 1 would be x2 and 16 would be y2.The formula is x2-x1/ y2- y1Plug the numbers in and you get 1-4/16-9Combine: -3/7It can't be simplified any more so that is your answerI need help to answer this I don’t know how you do it and it’s for factoring quadratics
Please help if you know the answer please
If f(x)=3x^2-2, find h(x)
Given
\(f(x)=3x^2-2\)\(h(x)\text{ = f(x+5) -2}\)Let us find f(x+5)
\(\begin{gathered} f(x+5)=3(x+5)^2-\text{ 2} \\ =\text{ 3(x+5)(x+5) - 2} \\ =3(x^2+5x+5x+25)-2 \\ =3(x^2+10x+25)\text{ - 2} \\ =3x^2+30x+75-2_{} \\ =3x^2+30x+73 \end{gathered}\)To find h(x)= f(x+5) - 2, we substitute for f(x+5)
Then, we have
\(\begin{gathered} h(x)=3x^2+30x+73\text{ - 2} \\ h(x)=3x^2+30x+71 \end{gathered}\)The answer to the function h(x) is 3x²+30x+71
Dan wants to put a fence around his swimming pool. what is the minimum amount of fencing needed around the pool?
The minimum amount of fencing needed around the pool is equal to the perimeter of the pool.
How does the perimeter of the pool determine the required amount of fencing?The perimeter of the pool refers to the total length of all sides of the pool. By measuring each side and summing them up, we can calculate the perimeter. This measurement directly corresponds to the amount of fencing required to enclose the pool.
For example, if we have a rectangular pool with sides measuring 10 meters and 8 meters, we add up all the sides (10 + 8 + 10 + 8 = 36 meters) to find the perimeter. In this case, 36 meters of fencing would be needed to surround the pool completely.
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HELP HELP HELP PLS PLS IM CONFUSED
Answer:
y=19 z=19
Step-by-step explanation:
45 45 90 triangles are this: sides=hyp/sqrt(2)
mathXL lol
Marketing company said 259 emails on Monday 431 emails on Tuesday and some emails on Wednesday if the company sent about like 1300 emails over three days about how many emails did the company send on Wednesday
Answer:
610
Step-by-step explanation:
Given:
259 emails on Monday431 emails on Tuesday? emails on WednesdayTotal emails = 1300Add:
259 + 431 = 690
Subtract:
1300 - 690 = 610
So, on Wednesday 610 emails were sent out.
Hope this helped.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
O(-3,0)
O(0,-3)
O (3,0)
O (0,3)
Answer:
(3,0)
Step-by-step explanation:
y= 2/3x - 2 ... (1)
y= -x+3 ... (2)
First, change the equations into normal equation form
(1): - 2/3x + y= - 2
(2): x+y= 3
(1)×3: - 2x+3y= - 6 ... (3)
(2)×2: 2x+2y= 6 ... (4)
(3)+(4): 5y=0
y= 0
Substitute y=0 into any equation
Let's say, equation (2)
y= -x+3
0= -x+3
-3= -x
x= 3
(x,y)= (3,0)
Which statements about the figure are true? Check all
that apply.
The figure is a quadrilateral.
All sides are congruent.
Opposite sides are congruent.
All angles are right angles.
Opposite sides are parallel.
The figure is a square.
The figure is a rectangle.
Answer:
A D C D F G
Step-by-step explanation:
hope this helps
Katie why whould you take down my answer and warn me like what did i do
What does it mean to draw a graph from the calculator?
Answer:
A graphing calculator is a handeled computer that is capable of plotting graphs, solving simultaneously equations, and performing other tasks with variables.
Hope these helps you jalissa.
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :3
I have to do what the image below says but I don't know how to write it:,)
Answer:
To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y- coordinate is the value of b in the equation.
plz help me understand this question
Answer:
The answer is D
Step-by-step explanation:
When doing this type of equation you would multiply the exponents and keep the base the same
Answer:
option D
Step-by-step explanation:
\((3d^4)^{2}\)
multiply the powers you will get,
\(3d^{8}\)
therefore, option D is the correct option
hope it helps you!!
The following regression was obtained by a real estate broker for a certain neighborhood predicting the price of a house in 1000's) based on age, squared footage (in 100's) and whether the house has or does not have a pool:Y^= 100-0.5(age)+10(square footage)+30 (pool).Explain the coefficient of age of the house:Group of answer choicesA. For an additional year of age, price of the house will decrease by 5000 dollars on average holding squared footage and pool constant.B. For an additional year of age, price of the house will decrease by 500 dollars on average holding squared footage and pool constant.C. For an additional year of age, price of the house will increase by 5000 dollars on average holding squared footage and pool constant.D. For an additional year of age, price of the house will increase by 5000 dollars holding squared footage and pool constant.
B. For an additional year of age, price of the house will decrease by 500 dollars on average holding squared footage and pool constant. is the answer.
What is regression equation?This equation helps to predict the value of the dependent variable based on the values of the independent variables.
This is because the coefficient of age of the house group is -0.5.
This means that for an additional year of age, the predicted price of the house will decrease by
0.5*1000 = 500 dollars on average,
holding squared footage and pool constant.
This is because the coefficient of age in the regression equation is negative, indicating that as the age of the house increases, the predicted price of the house decreases.
Thus, for an additional year of age, the price of the house will decrease by 500 dollars on average holding squared footage and pool constant.
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is honors math easy?
Answer:
NO
Step-by-step explanation:
Answer:
Actually it is. Think of it as a standard math. It is not at all hard. AP MAth is very hard because it's a ton of stuff and a whole bunch of maybe even college assignments. I would know because i was one in honors but now in AP. Trust me when i ay that i fool around in clas and still get an A.
Step-by-step explanation:
Emma earns an annual salary of $84,400 and is paid biweekly. Her W-4 shows "married filing jointly and uses the standard withholding" What is her FIT withholding?
To determine Emma's federal income tax (FIT) withholding, we need to consider her annual salary, pay frequency, filing status, and the standard withholding allowances.
Given that Emma earns an annual salary of $84,400 and is paid biweekly, we can calculate her gross biweekly salary by dividing the annual salary by the number of pay periods in a year. Assuming there are 26 pay periods in a year for biweekly payments:
Gross biweekly salary = Annual salary / Number of pay periods
= $84,400 / 26
= $3,246.15 (rounded to two decimal places)
Next, we need to determine Emma's withholding allowances based on her filing status. Since she selected "married filing jointly" and is using the standard withholding, the default number of allowances for this status is usually higher compared to single or married filing separately. However, the specific number of allowances can vary based on personal circumstances.
As of my knowledge cutoff in September 2021, the standard withholding allowances for married filing jointly were as follows:
First allowance: $4,300
Additional allowances: $4,400
Please note that tax laws can change, and it's advisable to consult the latest IRS guidelines or use an online tax calculator to get accurate withholding information.
To calculate Emma's FIT withholding, we'll subtract her allowances from her gross biweekly salary and apply the appropriate tax rates. For simplicity, let's assume Emma has one withholding allowance:
Total allowances = First allowance + Additional allowances
= $4,300 + $4,400
= $8,700
Taxable income = Gross biweekly salary - Total allowances
= $3,246.15 - $8,700
= -$5,453.85 (negative because allowances exceed the salary)
Since the taxable income is negative, Emma's FIT withholding should be $0. In this case, no federal income tax will be withheld from her biweekly paychecks. However, please note that Emma may still owe taxes when filing her annual tax return if her other sources of income or deductions are not accounted for in her withholding calculations.
Define Chi square test OR Tests of significance based on Chi-Square. A: -Various tests of significance described previously have mostly applicable to only quantitative data and usually to the data which are approximately normally distributed. It may also happens that we may have data which are not normally Inference: (i) If Z0 ≤ Ze we accept the H0 (ii) If Z0 >Ze we reject the H0 Example: A test of the breaking strengths of two different types of cables was conducted using samples of n1 = n2 = 100 pieces of each type of cable. Do the data provide sufficient evidence to indicate a difference between the mean breaking strengths of the two cables? Use 0.01 level of significance. x = 1925 and sigm = 40 and X2 = 1905, sigma = 30
The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.
The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.
To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.
Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.
To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.
Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.
If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.
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6. A line goes through these two points, (-4,-1) an (-9,-5).A. Find an equation for this line in point slope form.B. Find the equation for this line in slope intercept form. Be sure to show your work.C. If the y-coordinate of a point on this line is 7, what is the x-coordinate of this point?7. Consider the line below.A. Find two points on this linn
A, B) y=4/5x +11/5
C) x=6
6) Since we have those two points, we can find out the slope between them using the slope formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\Rightarrow m=\frac{-5-(-1)}{-9-(-4)}=\frac{-4}{-5}=\frac{4}{5}\)A) In the point-slope form, we can write out the following formula and then plug into that the coordinates the slope found above considering point (-4,-1):
\(\begin{gathered} (y-y_1)=m(x-x_1) \\ y-(-1)=\frac{4}{5}(x+4) \\ y+1=\frac{4}{5}x+\frac{16}{5} \\ y=\frac{4}{5}x+\frac{16}{5}-1 \\ y=\frac{4}{5}x+\frac{11}{5} \end{gathered}\)B) The same line described by the slope-intercept formula:
\(\begin{gathered} y=\frac{4}{5}x+b \\ -1=\frac{4}{5}(-4)+b \\ -1=\frac{-16}{5}+b \\ -1=-\frac{16}{5}+b \\ -1+\frac{16}{5}=b \\ \frac{11}{5}=b \\ y=\frac{4}{5}x+\frac{11}{5} \end{gathered}\)C) Plugging into the function the y-coordinate: 7
\(\begin{gathered} y=\frac{4}{5}x+\frac{11}{5} \\ 7=\frac{4}{5}x+\frac{11}{5} \\ 7-\frac{11}{5}=\frac{4}{5}x \\ \frac{24}{5}=\frac{4}{5}x\text{ }\times5 \\ 24=4x \\ \frac{24}{4}=\frac{4x}{4} \\ 6=x \\ x=6 \end{gathered}\)The x-coordinate for y=7 is x= 6.
That's the function y=4/5x +11/5
Mia pays $178 every 4 months for her piano lessons. At this rate, how much will Mia pay for 3 years of piano lessons?
Answer:
I think the answer is 734.
Step-by-step explanation:
You do $178 x 4 months = 716
716 x 4 years is 734
Write the standard form of the equation of the line through the pair of points (3,5) and (1,5).
The standard form of the equation of the line passing through the points (3,5) and (1,5) is given by
(Simplify your answer.)
Answer:
y = 5
Step-by-step explanation:
The standard form of a linear equation is Ax + By=C
But let's start with the slope-intercept form: y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
M, the slope, may be calculated by using the Rise/Run between the two given points: (1,5) and (3,5):
Rise = (5-5) = 0 [Note that the value of y does not change when x = 1 or 3.]
Run is = (3-1)=2
Rise/Run (slope, m) is (0/2) or 0. [y does not change as a function of x. It is a flat, horizontal line]
The equation becomes y = (2/3)x + b
We need to find a value of b, the y-intercept, that forces the line to go through both points. This can be done by entering one of the points into the equation and solving for b:
y = (0)x + b
I'll use (1,5)
5 = (0)*(1) + b
b = 5
The equation becomes y = (0)x + 5 or y = 5
Standard form of the equation is Ax + By = C
A is 0, B is 1 and C is 5
y = 5
Can anyone answer this question
Answer:
b. 75°
Step-by-step explanation:
By exterior angle theorem:
3x = x + 70°
3x - x = 70°
2x = 70°
x = 70°/x
x = 35°
Therefore, 3x = 3*35° = 105°
\( \measuredangle ACB= 180\degree - 105\degree \)
(Linear pair angles)
\( \measuredangle ACB= 75\degree \)
Compare two functions involving a negative factor.
pH = -log x and y = Poe-2
Choose all statements that are correct.
A. Both the logarithmic function and the exponential function represent change that is not linear.
B. The logarithmic function can have no negative x-values; the exponential function can have no negative y-values.
C. The base of the logarithmic function and the base of the exponential function are both positive.
D. The output of the logarithmic function can only be negative, but the output of the exponential function can only be positive.
Okay, let's evaluate the statements:
A. This is correct. Both logarithmic and exponential functions represent non-linear change.
B. This is incorrect. The logarithmic function can have negative x-values and the exponential function can have negative y-values.
C. This is correct. The base of the logarithm (which is -1 here) and the base of the exponential (which is e here, approximately 2.718) are positive.
D. This is incorrect. The logarithmic function can produce negative or positive output depending on the input x. The exponential function can also produce negative or positive output depending on the input.
So the correct statements are:
A. Both the logarithmic function and the exponential function represent change that is not linear.
C. The base of the logarithmic function and the base of the exponential function are both positive.
In summary, I would choose options A and C.
Let me know if you have any other questions!
Identify a method of developing systems that is well-suited to traditional project management tools and technique
The waterfall model has equivalent flexibility to other approaches. suitable for conventional project management tools and methods.
The waterfall model of the software development life cycle is the greatest technique for creating systems.
This includes the following elements:
1. The requirements phase, which takes into account the needs needed to build the product
2. The product's design is created
3. The programmers who wrote the code to put the product into action built the product.
4. The product is examined and all flaws are fixed to ensure that it responds correctly to inputs.
5. The systems are periodically maintained to ensure continued operation and proper output
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*
Can 5.6+ 1/2 be combined as like terms?
Yes
No
Answer:
Yes
Step-by-step explanation:
You would first need to make the fraction a decimal which would be 0.5