Answer:
142 degrees
Step-by-step explanation:
180-38
Answer:
\(142\)°
The standard deviation of the scores on a skill evaluation test is 320 points with a mean of 1434 points. if 338 tests are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 43 points? round your answer to four decimal places.
The probability that the mean of the sample would differ from the population mean by less than 43 points is approximately 0.7597 or 0.7600 (rounded to four decimal places).
Given that the standard deviation of the scores on a skill evaluation test is 320 points with a mean of 1434 points. And we have a sample of size n = 338.
We need to find the probability that the mean of the sample would differ from the population mean by less than 43 points.
The standard error of the mean is given by:
SE = σ/√n
where σ is the population standard deviation and n is the sample size.
Substituting the given values, we get:
SE = 320/√338
SE ≈ 17.398
To find the probability, we need to standardize the sample mean using the standard error as follows:
Z = (X - μ) / SE
where X is the sample mean, μ is the population mean, and SE is the standard error of the mean.
Substituting the given values, we get:
Z = (1434 - 1434) / 17.398
Z = 0
Since the mean difference is 0, we can find the probability of a difference less than 43 points by finding the probability that Z lies between -43/17.398 and 43/17.398.
Using a standard normal distribution table or calculator, we find that this probability is approximately 0.7597.
Therefore, the probability that the mean of the sample would differ from the population mean by less than 43 points is approximately 0.7597 or 0.7600 (rounded to four decimal places).
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I need both will give brainliest.
Answer:
Step-by-step explanation:
Standard form: Ax+By=C
Change C to 53
Ax+By=53
He could have added a combination of $1 bills and $5 bills or just $1 bills.
I hope this is right
the mayor of a city randomly chooses 4 of the 20 wards in her city and surveys all the voters in those selected wards.
The sample space is 4845.Therefore, option C is correct.
Given: The mayor of a city randomly chooses 4 of the 20 wards in her city and surveys all the voters in those selected wards.
Solution: We have a sample size of 4 wards out of a total of 20 wards. The mayor has chosen all the voters in those 4 wards. So, the sampling method used here is stratified sampling as the mayor chose the voters of specific 4 wards.
Sample space = Total number of ways to select 4 wards out of 20 wards= C(20,4) = 20!/(4!(20 - 4)!) = 4845
Hence, the sample space is 4845.Therefore, option C is correct.
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what is the cube root of 85184 by prime factorization?
Answer:
hola amigo
Step-by-step explanation:
HELP I suck at algebra this is the photo of the problem
Answer:
4(2-x)+6x<2x-4
8-4x+6x<2x-4
8 +2x<2x-4
2x-2x<-4-8
0<-12
so no solutin
Step-by-step explanation:
pls help guyssssssssss
Can someone help me?
Answer:
1 feet
Step-by-step explanation:
15-14
Simplify x+3+5x to the simplest algebraic expression
Answer: 6x+3
Step-by-step explanation:
1. First calculate the variables : x+5x=6x
2.add the number(s)= 6x+3
=6x+3
how much time will it take for the plane to land?
Answer:
Again assuming we're cleared for immediate take off, it takes around 20 minutes to climb to cruise altitude, at an average ground speed of (say) 200 knots. This means we've covered about 70 miles, which the cruising aircraft would have covered in just over 10 minutes. So this final phase has cost us another 10 minutes
Which equation describes the lines passing through (4,-2) with a slope of 1/2?
A. y = 1/2x + 5
B. y = 1/2x + 4
C. y = 1/2x - 2
D. y = 1/2x - 4
Answer:
y = 1/2x +4
Step-by-step explanation:
Write in y = mx + b form.
PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!!
Choose one value that is in the domain of both ( ) = 2and 2 = and that is greater than 0. Substitute that value into ( ) = 2and 2 = and then simplify. Explain how your answers help to show that the graph on the left represents a function while the graph on the right represents a relation. Show your work and use function notation where possible
(ignore the little checks on the graph lol)
Heres a Simple Answer:
1. The one on the left follows the Vertical Line test, while the one on the right doesn't
2. A function is either y = mx+b, or a Nonlinear function. The one on the right is a Parabolic Function becuase it has the x^2 on it. The right one is y^2, which is not a function.
(Not very good, but I gtg so I rushed.)
7.5% of $12.58
ANSWER PLS
Answer:
0.94$
Step-by-step explanation:
Answer:
0.9435
Step-by-step explanation:
7.5/100 × 12.58 = 0.9435
Consider line A which is defined by the equation:
y=5/6x-5/2
and the point P(-3,6) and then answer the following questions:
a. How would you find the line (B) that passes through point P and is perpendicular to line A? What is the equation of that line?
b. How would you find the length of the segment of line B from point P to line A?
c. How would you find the midpoint between point P and the intersection of line A and line B ?
Answer:
y = -6/5x +12/5distance from P to A: (66√61)/61 ≈ 8.4504midpoint: (-18/61, 168/61) ≈ (-0.2951, 2.7541)Step-by-step explanation:
a. The slope of the perpendicular line is the negative reciprocal of the slope of the given line, so is ...
m = -1/(5/6) = -6/5
Then the point-slope form of the desired line through (-3, 6) can be written as ...
y = m(x -h) +k . . . . . line with slope m through (h, k)
y = (-6/5)(x +3) +6
y = -6/5x +12/5 . . . equation of line B
__
b. The distance from point P to the intersection point (X) can be found from the formula for the distance from a point to a line.
When the line's equation is written in general form, ax+by+c=0, the distance from point (x, y) to the line is ...
d = |ax +by +c|/√(a² +b²)
The equation of line A can be written in general form as ...
y = 5/6x -5/2
6y = 5x -15
5x -6y -15 = 0
Then the distance from P to the line is ...
d = |5(-3) -6(6) -15|/√(5² +(-6)²) = 66/√61
The length of segment PX is (66√61)/61.
__
c. To find the midpoint, we need to know the point of intersection, X. We find that by solving the simultaneous equations ...
y = 5/6x -5/2
y = -6/5x +12/5
Equating y-values gives ...
5/6x -5/2 = -6/5x +12/5
Adding 6/5x +5/2 gives ...
x(5/6+6/5) = 12/5 +5/2
x(61/30) = 49/10
x = (49/10)(30/61) = 147/61
y = 5/6(147/61) -5/2 = -30/61
Then the point of intersection of the lines is X = (147/61, -30/61).
So, the midpoint of PX is ...
M = (P +X)/2
M = ((-3, 6) +(147/61, -30/61))/2
M = (-18/61, 168/61)
please help me please
when two or more independent variables in the same regression model can predict each other better than the dependent variable, the condition is referred to as .
High intercorrelations between two or more independent variables in a multiple regression model are referred to as multicollinearity.
A single dependent variable and several independent variables can be analyzed using the statistical technique known as multiple regression. With the use of independent variables whose values are known, multiple regression analysis aims to predict the value of a single dependent variable.
Multicollinearity, also known as collinearity, is a phenomena in statistics when one predictor variable in a multiple regression model can be linearly predicted from the others with a high level of accuracy. In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably.
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Can someone please help me with this problem?
Answer: 18/9 if not it's something along that-
Step-by-step explanation:
7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-
HEY THERE! PLEASE ANSWER THE MATH QUESTION IN THE PHOTO! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND I WILL FOLLOW YOU( you will aslo get extra points)
THANKS! XOXO
In a square, all sides are equal so,
6x - 1 = 4x + 6
6x - 4x - 1 = 6
2x - 1 = 6
2x = 6 + 1
2x = 7
x = 7 / 2
x = 3.5
Now substitute the x value to any of the sides (in this case, I'm using the "4x + 6" side),
4(3.5) + 6
14 + 6
= 20 cm
Side = 20 cm
Which of the following equations has no solution?
B= -B+ 2
B + 2= b + 2
B+ b = 2
b + 2 = b-2
Answer:
b+2=b-2
Step-by-step explanation:
The first step to solving this equation is subtract b from both sides. After you do that, you get 2=-2. 2 does not ever equal -2 and that statement is false. Therefore that equation has no solution.
A sample should be large to encourage:
A. precision
B. bias
C. decrease accuracy
D. large standard error
Answer:
A) precision
Step-by-step explanation:
Hope this helps ! :)
Charlie lives halfway between Chicago and Hoopertown. Amanda lives halfway between Charlie and Chicago. Raymond lives between Charlie and Hoopertown. All three houses lie on a straight line from Chicago to Hoopertown. If Raymond lives 15 miles from Amanda and 23 miles from Chicago, how far does he live from Hoopertown?
Answer:
Let's assume that the distance between Chicago and Hoopertown is represented by 'x' miles.
According to the given information:
Raymond lives 23 miles from Chicago, so the distance between Amanda and Chicago is 23 - 15 = 8 miles.
Since Amanda lives halfway between Charlie and Chicago, the distance between Charlie and Chicago is also 8 miles.
Therefore, the distance between Charlie and Hoopertown is x - 8 miles.
Since Charlie lives halfway between Chicago and Hoopertown, the distance between Raymond and Charlie is (x - 8) / 2 miles.
Given that Raymond lives 15 miles from Amanda, we can set up the following equation:
(x - 8) / 2 = 15
To solve for x, we can multiply both sides of the equation by 2:
x - 8 = 30
Next, we can isolate x by adding 8 to both sides of the equation:
x = 38
Therefore, the distance between Chicago and Hoopertown (x) is 38 miles.Therefore, the distance between Chicago and Hoopertown (x) is 38 miles.Since Raymond lives 23 miles from Chicago, he lives (38 - 23) = 15 miles from Hoopertown.Therefore, the distance between Chicago and Hoopertown (x) is 38 miles.Since Raymond lives 23 miles from Chicago, he lives (38 - 23) = 15 miles from Hoopertown.Thus, Raymond lives 15 miles from Hoopertown.Because of various styles and formats of quotations, some may have rates based on cubic measurements or kilograms, while others on the number of containers or boxes. What problem, if any, can this cre
The problem that can arise from different styles and formats of quotations in terms of measurements or units is inconsistency and confusion.
If different suppliers or vendors quote prices based on different measurement units or quantities, it can make it difficult to compare and evaluate the offers accurately. It may lead to misunderstandings, errors in pricing, and challenges in making informed purchasing decisions. When quotations are based on different measurement units or quantities, it becomes challenging to compare them directly. For example, one supplier may provide a quotation based on cubic measurements, while another supplier may quote based on kilograms or the number of containers. This inconsistency can create confusion and make it difficult to determine which quotation offers the best value or meets the requirements of the buyer.
In such cases, it is essential to establish a common basis for comparison. This may involve converting the quotations to a standardized unit or quantity that is relevant to the buyer's needs. For example, if one supplier quotes based on cubic measurements and another based on the number of containers, the buyer may need to convert both quotations to a common unit, such as the cost per container or per cubic measurement, to make a fair comparison.
Without a standardized basis for comparison, it becomes challenging to assess the true costs and benefits of different quotations. It can lead to misunderstandings, as the buyer may assume a certain quantity or unit of measurement based on their expectations or previous experiences. This can result in errors in pricing, incorrect budgeting, and potentially selecting a supplier that may not be the most cost-effective or suitable option.
To avoid these problems, clear communication and clarification of the quotation requirements are crucial. Buyers should specify the preferred measurement units or quantities and ask suppliers to provide quotations based on those specifications. This helps ensure consistency, accuracy, and enables an informed evaluation of the quotations to make an appropriate purchasing decision.
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If you add several numbers, how many
significant figures can the sum have?
When adding several numbers, the number of significant figures in the sum depends on the least precise measurement among the addends.
The sum can have as many significant figures as the addend with the fewest significant figures. The significant figures in a number represent the meaningful and known digits along with the estimated or uncertain digit. When adding numbers, it is important to consider the precision or the number of significant figures in each addend.
The sum of several numbers can have no more significant figures than the addend with the fewest significant figures. This is because the least precise measurement determines the overall precision of the result. Adding numbers with more significant figures than the least precise measurement would introduce additional uncertainty or digits that are not known with certainty.
For example, if you add 2.13 + 4.2 + 0.006, the least precise measurement is 0.006, which has three significant figures. Therefore, the sum should be reported with three significant figures as well, resulting in 6.33. Adding any additional digits beyond the least precise measurement would imply a higher level of precision than what is warranted by the original data.
In conclusion, the sum of several numbers should be reported with the same number of significant figures as the addend with the fewest significant figures to maintain accuracy and avoid introducing false precision.
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slope:1/6 point: (24 ,4)
Answer:
y -4 = 1/6(x-24)
y = 1/6x -2
Step-by-step explanation:
We can point slope form
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -4 = 1/6(x-24)
Or we can write slope intercept form
y = mx+b where m is the slope and b is the y intercept
Substituting the points
4 = 1/6(24)+b
4 = 6+b
4-6 = b
-2 =b
y = 1/6x -2
Answer:
\(y = mx + c \\ 4 = (\frac{1}{6} \times 24) + c \\ 4 = 4 + c \\ c = 0 \\ y = \frac{1}{6} x\)
convert NPR 180000 into
1. USD
Answer:
Solution here,
1 US dollar=NRS 120.74
Therefore Rs 180000= 180000/120.74
=$1490.99
If you mix red and white paint in different ratios, you will get different shades of pink
paint. If the ratios are equivalent, the shades of pink will be the same,
• Mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint.
• Priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of
white paint
Are these two batches the same shade of pink? Explain,
Answer: no.
Step-by-step explanation: 3/5 is not equivalent to 4/7
Hence, these two batches does not have the same shade of pink.
What are the expressions?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Here given that,
If you mix red and white paint in different ratios, you will get different shades of pink
paint. If the ratios are equivalent, the shades of pink will be the same,
• Mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint.
• Priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of white paint
As per this information these two batches does not have the same colour of pink.
Hence, these two batches does not have the same shade of pink.
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In each of problems 5 through 11, find the general solution of the given differential equation
The complete question is
"Find the general solution of the given differential equation
y''-y=0, y1(t)=e^t , y2(t)=cosht
The function \(y(t)=e^t\) is the solution of the given differential equation.
The function y(t)=cosht is the solution of given differential equation.
What is a function?
The function is a type of relation, or rule, that maps one input to specific single output.
Given;
\(y_1(t) = e^t\)
Given differential equations are,
y''-y = 0
So that,
\(y' (t) = e^t, y'' (t) = e^t\)
Substitute values in the given differential equation.
\(e^t -e^t=0\)
Therefore, the function \(y(t)=e^t\) is the solution of the given differential equation.
Another function;
\(y(t)=cosht\)
So that,
\(y"(t)=sinht\\\\y"(t)=cosht\)
Hence, function y(t)=cosht is solution of given differential equation.
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The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer in simplest form.
Answer:
0.421875 or 27/64
Step-by-step explanation:
you divide the smallest by the bigest of the same side.
ADP Mining Company mines an iron ore called Alpha. During the month of August, 416,000 tons of Alpha were mined and processed at a cost of \( \$ 750,500 \). As the Alpha ore is mined, it is processed
The COGS of Alpha ore mined and processed by ADP Mining Company is $750,500.ADP Mining Company is an organization that specializes in mining iron ore called Alpha.
During the month of August, 416,000 tons of Alpha were mined and processed at a cost of $750,500. ADP Mining Company extracts the ore and then processes it to generate a finished product that can be sold. ADP Mining Company must maintain a high level of production efficiency to make a profit while keeping the cost of production to a minimum. Alpha ore is processed as it is mined. The processing cost is included in the overall cost of the Alpha ore.The cost of production, also known as the cost of goods sold (COGS), is calculated by summing all of the direct and indirect expenses associated with the production of the finished product. It comprises costs such as raw material costs, wages and salaries, rent, electricity, depreciation, and other indirect expenses.
Direct expenses, such as the cost of processing Alpha ore, are included in COGS since they are incurred while producing the finished product.COFG calculation:
COGS = Raw Material Cost + Direct Labor Cost + Direct Expenses + Other Indirect Expenses
COGS = $750,500 (direct expenses)
The COGS of Alpha ore mined and processed by ADP Mining Company is $750,500.
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(-4 × 5.2) − (-3 × -4/5)=
) =
Answer:
\(=-23.2\)
Step-by-step explanation:
\(\left(-4\times \:5.2\right)-\left(-3\left(-\frac{4}{5}\right)\right)\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=-4\times \:5.2-3\times \frac{4}{5}\\4\times \:5.2=20.8\\4\times \:5.2\\\mathrm{Multiply\:the\:numbers:}\:4\times \:5.2=20.\\=20.8\\3\times \frac{4}{5}=\frac{12}{5}\\3\times \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}\\=\frac{4\times \:3}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\times \:3=12\\\)
\(=\frac{12}{5}\\=-20.8-\frac{12}{5}\\\mathrm{Convert\:element\:to\:a\:decimal\:form}\\\frac{12}{5}=2.4\\=-20.8-2.4\\\mathrm{Subtract\:the\:numbers:}\:-20.8-2.4=-23.2\\=-23.2\)
Find a 95% confidence interval for the mean amount of time spent on this ride. Round the values in your confidence interval to two decimal places. The 95% percent confidence interval is
95% confidence interval is 1.96
A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.
For 95% confidence interval, we will keep 95% area in the center and will divide the remaining area equally on both sides.
From Standard Normal table, P(-1.96 < Z < 1.96) = 0.95, i.e., there is a 95% probability that a standard normal variable, Z, will fall between -1.96 and 1.96.
Hence 95% percent confidence interval is 1.96
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