Answer:
Step-by-step explanation:
the answer is R=63
During a day a student spends 7 hours sleeping, ¹/4 of the day studying and of the time travelling. What fraction of the day is left for other things?
Answer:
45.83 over 1 (45.83/1)
Step-by-step explanation:
29.17% sleeping
25% studying
29.17 + 25 = 54.17
100 - 54.17 = 45.83%
convert decimal to a fraction:
45.83 = 45.83 over 1 (45.83/1)
Answer:
\(\frac{45.83}{1}\)
Step-by-step explanation:
45.83/1 is your answer!!!!
can i get brainliest plzzz?
Identify the highlighted part of circle O shown below
Central angle
Secant
Inscribed angle
Chord
Answer:
Chord
Step-by-step explanation:
Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.
The number of internal disk drives (in millions) made at a plant in Taiwan during the past 5 years follows:
DISK DRIVES
140
160
190
200
210
a)Forecast the number of disk drives to be made next year, using linear regression.
b)Compute the mean squared error (MSE) when using linear regression.
c)Compute the mean absolute percent error (MAPE).
Could some please help? I would like to make sure my caculations are correct.
a) The forecasted number of disk drives to be made next year is 210.
b) The mean squared error (MSE) when using linear regression is 160.
c) The mean absolute percent error (MAPE) when using linear regression is approximately 7.51%.
Let's calculate the linear regression line using the given data points. We will use the least squares method to find the equation of the line:
Year (x) Disk Drives (y)
1 140
2 160
3 190
4 200
5 210
Now calculate the means of x and y:
X = (1 + 2 + 3 + 4 + 5) / 5 = 3
Y= (140 + 160 + 190 + 200 + 210) / 5 = 180
The deviations from the means (dx and dy):
dx = (1 - 3, 2 - 3, 3 - 3, 4 - 3, 5 - 3) = (-2, -1, 0, 1, 2)
dy = (140 - 180, 160 - 180, 190 - 180, 200 - 180, 210 - 180)
= (-40, -20, 10, 20, 30)
The sums of squares (Sxx and Sxy):
Sxx = Σ(dx²) = (-2)² + (-1)² + 0² + 1² + 2² = 10
Sxy = Σ(dx × dy) = (-2× -40) + (-1 × -20) + (0 × 10) + (1 × 20) + (2× 30)
= 100
Now find the slope (b):
b = Sxy / Sxx = 100 / 10 = 10
Find the intercept (a):
a = Y - (b × X) = 180 - (10 × 3)
= 180 - 30
= 150
Now we have the equation of the regression line:
y = a + bx
y = 150 + 10x
To forecast the number of disk drives to be made next year (year 6), we substitute x = 6 into the equation:
y = 150 + 10×6
y = 150 + 60
y = 210
Therefore, the forecasted number of disk drives to be made next year is 210.
b) To compute the mean squared error (MSE) when using linear regression.
we need to calculate the residuals (differences between the actual and predicted values) for each data point, square them, and find the average.
Let Year (x), Disk Drives (y), Predicted (Y), Residual (d = y - Y), Residual Squared (d²)
X y Y d d²
1 140 160 -20 400
2 160 170 -10 100
3 190 180 10 100
4 200 190 10 100
5 210 200 10 100
MSE = Σ(d²) / n
= (400 + 100 + 100 + 100 + 100) / 5
= 800 / 5
= 160
(c)To compute the mean absolute percent error (MAPE), we need to calculate the absolute percent error for each data point, find the average, and express it as a percentage.
Year Disk Drives Predicted Absolute Error Percent Error
1 140 160 20 14.29%
2 160 170 10 6.25%
3 190 180 10 5.26%
4 200 190 10 5.00%
5 210 200 10 4.76%
MAPE = Σ(|d| / y × 100) / n
= (14.29% + 6.25% + 5.26% + 5.00% + 4.76%) / 5
= 7.51%
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Evaluate yz + x² x=3.2, y=6.1, z=0.2
Answer:
Step-by-step explanation:
To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:
yz + x²
Substituting the given values, we get:
(6.1 * 0.2) + (3.2^2)
This simplifies to:
1.22 + 10.24
Therefore, the value of the expression is approximately 11.46.
11.46
gimme brainlyest gang
What is the value of K the line?
As asked by the question, the value of K for a given equation of a line is equal to the slope of the line.
What is a line?A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.
What is slope of a line?A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).
The value of K for a given line is equal to the slope of the line. Since lines are generally expressed in the form of y = mx +b , where m is the slope of the line and b is the y-intercept of the line. Here , the value of K will be equal to the slope m of the line.
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1. Eleven less than four times a number f equals seven more
than three times f. Write an equation to represent the
problem. Then solve the equation to find the number.
Answer:
Step-by-step explanation:
f - 11 - x should get your answer x
Solve for X: -243 + -9(10 + x)
First, distribute the -9 to the terms inside the parentheses: -243 + (-90 + -9x). Now, combine like terms: -333 + -9x. Finally, solve for x by dividing both sides by -9: x = 37.
What does x in algebra mean?In algebra, the letter x is a variable. Variables are symbols used to represent unknown or unspecified numbers in equations and formulas. In a mathematical expression, an x can be used to represent any number, and its value can change depending on the particular equation or formula being used.
What is an algebraic equation?An algebraic equation is one that has one or more variables and may be solved using algebraic procedures. It is commonly expressed as a declaration that two statements are equal.
Given,
-243 + -9(10 + x)
-243 + -90 + -9x
-333 + -9x
-9x = -333
x = 37
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Consider 8x2 - 48x = -104.
Write the equation so that
a = 1: x2 + x =
x= 6+√-16/2
or
x= 6-√-16/2
Answer:
-6 and -13
Step-by-step explanation:
Divide both sides by 8
-48/8
and
-104/8
Can someone help ? please
Answer:
(-4,3)
Step-by-step explanation:
In a function no two points can be on the same x value.
please help me
.
.
.
.
.
.
Answer:
Step-by-step explanation:
The figure is a parallelogram. That means the y value of g is the same as the y value of H
G( ? , b)
The x value of G is a little harder. You have to be careful what you do to c.
A is at - c which means you need to add c to get to (0,0)
In addition, you go out d units to get to F. So the x value of G = c + d
the complete answer is G(c + d,b)
What would be the cost for 7 hours of tutoring
Answer:
$300
Step-by-step explanation:
It is going up $35 per hour
Answer:
$300 for 7hrs
Step-by-step explanation:
because $35 an hour keep adding that on to $230 to get $300 hope this helps!
Quadrilateral abcd has vertices a(1,0) b(5,0) c (7,2) d(3,2). use slope to prove that abcd is a parallelogram.
\(m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}\)
\(m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}\)
As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.
Change 0.000000057 into scientific notation.
Answer:
5.7x10^-8
Step-by-step explanation:
Move the decimal 8 places to the right.
Hope this helps
suppose ct is the concentration of a drug in the bloodstream at time t, a is the concentration of the drug that is administered at each time step, and k is the fraction of the drug metabolized in a time step. (a) what is the recursion that models the dynamics of drug concentration? ct 1
The recursion that models the dynamics of drug concentration is: ct+1 = (1 - k) * ct + a.
This equation describes how the drug concentration in the bloodstream changes over time. At each time step, the concentration of the drug in the bloodstream is updated by adding the concentration of the drug that is administered (a) and subtracting the fraction of the drug that is metabolized (k * ct). This updated concentration is then used as the starting concentration for the next time step.
The value of k is typically a constant that is specific to the drug being administered and the metabolic rate of the patient. The value of a can vary depending on the dosage and frequency of drug administration. The recursion can be used to model the concentration of the drug over time, which is important for determining the effectiveness and potential side effects of the drug.
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How to graph quadratic equation
Answer:
Below
Step-by-step explanation:
Pick a bunch of values of 'x' .....calculate the corresponding 'y' values then plot the ordered pairs and connect the dots with a smooth curved line ...
Nathan made cookies for Remembrance Day. He made 2 2/3 dozen chocolate cookies, 1
dozen peanut cookies, and 2 1/2 dozen oatmeal cookies. If he puts the same number of each
cookie in each bag and has no cookies left over, what is the largest number of bags he can fill?
please help and solve for me
Step-by-step explanation:
\(8x - 7y = 23\)
\(7y = 8x - 23\)
\(y = \frac{8x}{7} - \frac{23}{7} \)
Find the value for C
Answer:
133
Step-by-step explanation:
Graph the line with the equation y = -3x – 2.
10
9
-10-9
-6 -5
-4
-3
1
3
4
5 6 7 8 9 10
Answer:
First start with the y-intercept at -2.
Then graph it three units to the right, then one unit down.
Step-by-step explanation:
Please mark as Brainliest!
Answer:
Place a point on (-6,0) and (0,-2) then draw a line that goes through both of those two points. You will then have graphed that equation.
I hope this helps!
To collect data on the signal strengths in a neighborhood, Tracy must drive from house to house and take readings. She has a graduate student, Dave, to assist her. Tracy figures it would take her eight hours to complete the task working alone, and that it would take Dave 12 hours if he completed the task by himself. How long will it take Tracy and Dave to complete the task together
Working together, they can complete the task in 4 hours and 48 minutes.
What is the concept of time and work?A certain amount of time (T) is taken to complete a certain work (W). The number of units of work done per unit time is called the rate of work (R). Hence, Work (W) = Rate (R) Time (T) Whenever some work is done, the total work itself can be taken as one unit.
Tracy needs 8 hours to complete the task.
Then we can find the ratio of work over time as:
1 task/8 hours = 1/8 task per hour.
This means that she can complete 1/8 of the task per hour.
Dave needs 12 hours to complete the task, then his ratio is:
1 task/12 hours = 1/12 task per hour.
This means that he can complete 1/12 of the task in one hour.
If they work together, then the ratios can be added:
R = \(\frac{1}{8}\) + \(\frac{1}{12}\)
= \(\frac{3+2}{24}\)
= \(\frac{5}{24}\)
So, working together, in one hour they can complete \(\frac{5}{24}\) of the task, now we can find the number of hours needed to complete the task as:
\(\frac{5}{24}\)×\(x\)= 1 task
x = \(\frac{24}{5}\) hours = 4.8 hours
knowing that an hour is 60 minutes, then 0.8 of an hour is 60*0.8 = 48 minutes.
Then x = 4 hours and 48 minutes.
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A population of 1000 voters contains 390 Republicans, 600 Democrats, and 10 independents and members of other parties. A simple random sample of 100 voters will be drawn from this population. The expected number of Republicans in the sample is (Q19) . The standard error of the number of Republicans in the sample is (Q20)
The expected number of Republicans in the sample is 39, and the standard error of the number of Republicans in the sample is approximately 0.487.
To determine the expected number of Republicans in the sample (Q19) and the standard error of the number of Republicans in the sample (Q20), we can use the formulas for proportions in sampling.
Q19: Expected number of Republicans in the sample
The expected number of Republicans in the sample can be calculated by multiplying the proportion of Republicans in the population by the sample size:
Expected number of Republicans = Proportion of Republicans in the population * Sample size
In this case, the proportion of Republicans in the population is 390/1000 = 0.39, and the sample size is 100.
Expected number of Republicans in the sample = 0.39 * 100 = 39
Therefore, the expected number of Republicans in the sample is 39.
Q20: Standard error of the number of Republicans in the sample
The standard error of the number of Republicans in the sample measures the variability or uncertainty of the sample estimate. It can be calculated using the formula:
Standard error = Square root of [(Proportion of Republicans in the population * (1 - Proportion of Republicans in the population)) / Sample size]
In this case, the proportion of Republicans in the population is 0.39, and the sample size is 100.
Standard error = sqrt[(0.39 * (1 - 0.39)) / 100]
Standard error = sqrt[(0.39 * 0.61) / 100]
= sqrt(0.238)
≈ 0.487
Therefore, the standard error of the number of Republicans in the sample is approximately 0.487.
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A shop will sell a mixture of almonds and cashews. Almonds cost $2.50 per pound and cashews cost $3.25 per pound. The shop will make 80 pounds of the mixture and sell it for $2.95 per pound. How many pounds of almonds should they use?
Answer:
32 pounds of almonds
Step-by-step explanation:
Let the number of pounds of almond be a while that of cashews be c
we want to make a total of 80 pounds
Thus;
a + c = 80 ••••••••(i)
Furthermore;
Let us work with the costs
Costs of a pounds of almonds will be ;
a * 2.5 = 2.5a
cost of c pounds of cashews
c * 3.25 = 3.25c
Total cost at which they sell will be 80 * 2.95 = 236
Thus;
3.25c + 2.5a = 236 •••••(ii)
From i, c = 80-a
Put this into ii
3.25(80-a) + 2.5a = 236
260-3.25a + 2.5a = 236
0.75a= 24
a = 24/0.75
a = 32
Consider the y-intercepts of the functions: f(x) = |x – 1| 2 What is the ordered pair location of the greatest y-intercept of the three functions? ( , )
To find the y-intercept of the given function, f(x) = |x - 1|, we will set x = 0, because the y-intercept occurs where the function crosses the y-axis, and at that point, x = 0.
Step 1: Substitute x = 0 into the function.
f(0) = |0 - 1|
Step 2: Simplify the expression inside the absolute value.
f(0) = |-1|
Step 3: Calculate the absolute value.
f(0) = 1
So, the ordered pair location of the y-intercept of the function f(x) = |x - 1| is (0, 1). There is only one function provided in the question, so the greatest y-intercept among the given function is (0, 1).
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8-6 practice solving x2+bx+c=0 answers
To solve the quadratic equation \(x^{2}\) + bx + c = 0, one can use the quadratic formula, which states that the solutions are given by x = (-b ± √(\(b^2\) - 4ac))/(2a).
The quadratic equation \(x^{2}\) + bx + c = 0 represents a parabola in the Cartesian coordinate system. To find the solutions, one can use the quadratic formula, which is derived from completing the square. The formula states that the solutions, denoted by x, can be found by substituting the coefficients a, b, and c into the formula x = (-b ± √(\(b^2\) - 4ac))/(2a).
The discriminant, \(b^2\) - 4ac, plays a crucial role in determining the nature of the solutions. If the discriminant is positive, the equation has two distinct real solutions. If the discriminant is zero, the equation has one real solution, which is called a double root. If the discriminant is negative, the equation has two complex solutions, which are conjugates of each other.
By plugging in the values of a, b, and c into the quadratic formula and simplifying, one can obtain the solutions for the given quadratic equation. The ± symbol in the formula indicates that there will be two solutions, one with a positive sign and the other with a negative sign, corresponding to the two possible roots of the equation.
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PLS SOMEONE HELP I DO NOT UNDERSTAND PLS AND TY ASAP PLS PLS I WILL GIVE BRAINLIST AND PLS DONT BE A BOT
Answer:
35°
Step-by-step explanation:
The central arc is equal to the arc that subtends it, then
arc AC = 75° and
BC = AC - AB = 75° - 40° = 35°
What is two rays sharing a common endpoint?A)angleB)circleC)triangleD)line segment
An angle is the two rays sharing a common endpoint.
What is an angle in math?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. A pair of rays (half-lines) with a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.Learn more about an angle refer to ;
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A simple random sample of 500 elements generates a sample proportion p= 0.81. Provide the 90% confidence interval for the population proportion (to 4 decimals). b.Provide 95% the confidence interval for the population proportion (to 4 decimals).
a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).
b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).
To calculate the confidence intervals for the population proportion, we can use the formula:
Confidence Interval = sample proportion ± margin of error
The margin of error can be calculated using the formula:
Margin of Error = critical value * standard error
where the critical value is determined based on the desired confidence level and the standard error is calculated as:
Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)
Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.
a. 90% Confidence Interval:
To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.
Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)
≈ 0.0323
Confidence Interval = 0.81 ± 0.0323
≈ (0.7777, 0.8423)
Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).
b. 95% Confidence Interval:
For a 95% confidence level, the critical value is approximately 1.96.
Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)
≈ 0.0363
Confidence Interval = 0.81 ± 0.0363
≈ (0.7737, 0.8463)
Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).
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The courier travelled 508 km in 8h. b) At this rate, how long will it take the courier to travel 889 km?
Answer:
14 hours
Step-by-step explanation:
Finding the rate of travel
Distance covered / Time taken508 kilometers / 8 hours63.5 kilometers per hourTime taken to cover 889 km
Distance / Rate of Travel889 kilometers / 63.5 kilometers per hour14 hoursGiven a sphere with a radius of 2 cm, find its volume to the nearest whole
number.
Answer:
34 cubic cm
Step-by-step explanation:
V = \(\frac{4}{3}\)\(\pi\)r³
V = \(\frac{4}{3}\)\(\pi\)(2)³
V = (8)\(\frac{4}{3}\)\(\pi\)
V = 10\(\frac{2}{3}\)\(\pi\)
V = 33.5103216383
33.5 cubic cm --> 34 cubic cm
The answer's: 33cm^3
When a cylinder is intersected by a plane parallel to the bases, what is the resulting cross-section?.
When a cylinder is intersected by a plane parallel to the bases, the resulting cross-section is a circle.
A cylinder is a solid geometric figure which has two parallel, congruent bases.
The bases are connected by a curved surface called a lateral surface. If a plane is made to intersect a cylinder, the resulting cross-section can be circular or elliptical, depending on how the plane intersects the cylinder.
In this case, if the plane intersects the cylinder parallel to the bases, the resulting cross-section is a circle because any section taken parallel to the base of a cylinder is congruent to the base.
This is true for both right cylinders and oblique cylinders.
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