The 84th derivative of 2sin(x) at x = -π/3 is -2cos(-π/3) = -2cos(π/3) = -2(-1/2) = 1.
The 84th derivative of 2sin(x) at the point x=-π/3 can be found using the chain rule and the fact that the derivative of sin(x) is cos(x). The chain rule states that the derivative of a function f(g(x)) is f'(g(x))g'(x). In this case, f(x) = 2sin(x) and g(x) = x, so f'(x) = 2cos(x) and g'(x) = 1. Therefore, the 84th derivative of 2sin(x) is 2cos(x) * 1 = 2cos(x).
To find the value of the 84th derivative at the point x=-π/3, we simply plug in -π/3 for x in the expression 2cos(x):
2cos(-π/3) = 2 * (1/2) = 1
Therefore, the 84th derivative of 2sin(x) at the point x=-π/3 is 1.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red.
Determine the theoretical probability of the spinner not landing on yellow,P(not yellow)
A: 0.325
B: 0.625
C: 0.750
D: 0.875
When the spinner is divided evenly into eight parts with three colored blue, one colored orange, two colored purple, and two colored yellow, the likelihood that the spinner is spun once and the color is not blue is 62.5%.
Here,
number of possibility=8
number of sample case=5
Probability that spinner is spun once and color is not blue,
=5/8
=0.625
=62.5%
The probability that spinner is spun once and color is not blue is 62.5% when spinner divided evenly into eight sections with three colored blue, one colored orange, two colored purple, and two colored yellow.
Hence the correct option is B.
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what is the value of x in the equation 6(x+1)-5x=8+2(x+1)
Answer:
it is x=-4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Using an example, outline the steps involved in performing a
Wald test to test significance of a sub-group of coefficients in a
multiple regression model.
The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.
The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.
Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:
Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)
If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.
The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.
Here are some of the assumptions of the multiple regression model:
* The independent variables are independent of each other.
* The dependent variable is normally distributed.
* The errors are normally distributed.
* The errors have constant variance.
If any of these assumptions are not met, then the Wald test may not be accurate.
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Mami filled his car's petrol tank with 40litres. after travelling 26kiolmetres he had 36liter of petrol tank. how far had he travelled when there were 20litres remaining in
Mami had traveled 130 kilometers when there were 20 liters remaining in the petrol tank.
To determine how far Mami had traveled when there were 20 liters remaining in the petrol tank, we can use the concept of fuel consumption rate.
Initially, Mami's car had a full tank of 40 liters. After traveling 26 kilometers, the tank had 36 liters of petrol left. Therefore, during this distance, Mami consumed 40 - 36 = 4 liters of petrol.
To calculate the fuel consumption rate, we divide the consumed fuel by the distance traveled:
Fuel consumption rate = Consumed fuel / Distance traveled
Fuel consumption rate = 4 liters / 26 kilometers
Now, we can determine the distance traveled when there were 20 liters remaining in the petrol tank. Let's denote this distance as 'd'.
Fuel consumption for 'd' distance = Fuel consumption rate x d
Since the fuel consumption rate is 4 liters / 26 kilometers, the equation becomes:
4 liters / 26 kilometers = 20 liters / d
Cross-multiplying the equation, we get:
4d = 20 * 26
Simplifying further:
4d = 520
Dividing both sides by 4, we find:
d = 520 / 4
d = 130 kilometers
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Help please it´s urgent
Based on this graph, what is the solution to the system of equations?
Answers:
A. There are an infinite number of solutions.
B. There is no solution.
C. (1, 3)
D. (2, 3)
E. (3, 2)
Answer: E
Step-by-step explanation:
The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.
Over the summer, Nancy exercised daily and lost from 145 pounds to 132 pouds. What is the percent of change?
Answer:
\(8.97\text{ \%}\)Explanation: Over the summer, Nancy exercised daily, and her weight went 145 pounds to 132 pounds. we need to find the percent change:
Change in weight is:
\(145p-132p=13p\)Change is percent is:
\(\frac{\text{ Change in Weight}}{\text{Original Weight}}\times100=(\frac{13}{145})\times100=8.97\text{ \%}\)If x-14=y+196 and y is 14 times of x then x=WHAT??
Answer:
x is 226.154…
Step-by-step explanation:
1) x-14=y+196
x=y+196+14
x=y+210
2)x=14y
3) 14y=y+210 collect like terms together
14y-y=210
13y=210 divide both sides by 13
y=16.154
4)x=y+210 meaning:
x=16.154+210
=226.154
A l-unit by 4-unit rectangle is shown below.
4 and 1
What is the area of the shaded rectangle?
How many integer solutions are there to the equation for which How many integer solutions are there to the equation for which and are all positive
The number of integer solutions to the equation x + y + z = 20, where x, y, and z are all positive integers, is 18.
To find the number of integer solutions to the equation x + y + z = 20, where x, y, and z are positive integers, we can use a combinatorial approach known as "stars and bars."
Imagine representing the sum 20 as a row of 20 stars: ***************.
Now, we need to divide these stars into three groups (representing x, y, and z) using two bars (|). For example, ||****|*****| represents x = 2, y = 5, and z = 13.
To determine the number of integer solutions, we need to count the number of distinct arrangements of 20 stars and 2 bars. The stars can be placed in any of the 22 positions (20 + 2), and the bars can be placed in any of the 2 available positions. Thus, the number of arrangements is given by the binomial coefficient C(22, 2) = 231.
However, we need to exclude the cases where one or more variables (x, y, or z) equals zero. Since all variables must be positive, we need to subtract the number of solutions where one variable is zero. If we fix x = 0, we are left with the equation y + z = 20, which has C(21, 1) = 21 solutions. Similarly, fixing y = 0 or z = 0 yields 21 solutions each.
Therefore, the total number of integer solutions to the equation x + y + z = 20, with x, y, and z as positive integers, is 231 - 21 - 21 - 21 = 168 - 63 = 105.
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Which number best represents the slope of the graphed line?
Answer:
-1/3
Step-by-step explanation:
because i aint never seen two pretty best friends, its always one of em gotta be ugly
Nishi invests £3400 at 5% interest per year. Work out how much she will have altogether after: 3 years
Answer:
£510
Step-by-step explanation:
5% of 3400 is 170. SInce she gets that much money every year, after 3 years she'll have 3*170 = £510.
Answer: Simple Interest = PRT
P= 3400
R = 5% = 5/100
T = 3
=> 3400 × 5/100 × 3 = 510
=》3400 + 510 = 3910
Step-by-step explanation:
I need help pleaseee:)
Answer:
Step-by-step explanation:
Perimeter = sum of all sides
Rectangular garden:
Perimeter = x + 2 + x + 1 + x + 2 + x + 1
= x +x + x +x + 2 + 1 + 2+ 1
= 4x + 6
Triangle shape garden:
Perimeter = 2x + 1 + x + 2 + x +3
= 2x + x + x + 1 + 2 + 3
= 4x + 6
b) x value will be all whole numbers
x = {0,1,2,3,..........}
you are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. how many randomly selected air passengers must you survey assume that you want ot be 90% confident that the sample percentage is within 3.5 percentage points of the true population percentage
Rounding up to the nearest whole number, you would need to survey approximately 753 randomly selected air passengers to be 90% confident that the sample percentage is within 3.5 percentage points of the true population percentage.
To determine the sample size needed for estimating a population percentage with a specified margin of error and confidence level, we can use the formula for sample size calculation for proportions. The formula is:
n = (Z^2 * p * (1-p)) / E^2
Where:
n is the required sample size,
Z is the Z-score corresponding to the desired confidence level (for a 90% confidence level, Z ≈ 1.645),
p is the estimated population proportion (since we don't have an estimate, we can use 0.5 for maximum sample size),
E is the desired margin of error (in decimal form).
In this case, the desired margin of error is 3.5 percentage points, which is 0.035 in decimal form.
Plugging in the values, we have:
n = (1.645^2 * 0.5 * (1-0.5)) / 0.035^2
Calculating this expression gives us:
n ≈ 752.93
Rounding up to the nearest whole number, you would need to survey approximately 753 randomly selected air passengers to be 90% confident that the sample percentage is within 3.5 percentage points of the true population percentage.
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) find the area under the standard normal curve that lies between z= -1.71 and z = 1.25 .
To calculate the area under the standard normal curve that lies between z = -1.71 and z = 1.25, we can use a standard normal distribution table or a calculator with the cumulative distribution function (CDF) for the standard normal distribution.
Using a standard normal distribution table:
Locate the closest values to -1.71 and 1.25 in the table.
The closest value to -1.71 is -1.7, and the corresponding area is 0.0446.
The closest value to 1.25 is 1.2, and the corresponding area is 0.3944.
Subtract the area corresponding to the z-score of -1.71 from the area corresponding to the z-score of 1.25:
Area = 0.3944 - 0.0446 = 0.3498.
Therefore, the area under the standard normal curve that lies between z = -1.71 and z = 1.25 is approximately 0.3498.
Using a calculator with the cumulative distribution function (CDF):
If you have access to a calculator with a built-in CDF function for the standard normal distribution, you can simply calculate the difference in cumulative probabilities:
Area = P(-1.71 ≤ Z ≤ 1.25) = CDF(1.25) - CDF(-1.71).
Substituting the values into the CDF function of the calculator will give you the desired area.
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On a grocery store shelf, there are 16 loaves of white bread and 24 loaves of wheat bread. A shopper randomly selects a loaf of bread.
What is the PROBABILITY it is WHEAT
Round to the NEAREST PERCENT!
Answer:
60%
Step-by-step explanation:
16 loaves of white bread and 24 loaves of wheat bread. = 40 loaves of bread
P( wheat) = number of wheat/ total
= 24/40
=.6
=60%
the poster shows how many of its games the football team has won so far. express this information as a fraction, a percent and as a decimal
Answer:
12/15 is the fraction one
12% I think
12.0 I think
Step-by-step explanation:
Erica has 2. 2 pounds of uncooked hamburger meat. A hamburger patty weighs about 6 ounces before it is cooked. Which is the maximum number of hamburger patties that Erica can make? i need help!!
Erica can make a maximum of 5 hamburger patties with the amount of meat she has.
What role do unit conversions have in mathematical and scientific calculations?In scientific and mathematical computations, unit conversions are crucial because they guarantee that data are stated in the proper units, enabling consistency and correctness. To combine or compare numbers and to understand the findings meaningfully, values must be converted to a standard unit of measurement. Calculation mistakes and erroneous conclusions can result from improper unit conversion.
Given that, a hamburger patty weighs about 6 ounces before it is cooked.
Thus,
2.2 pounds = 35.2 ounces (1 pound = 16 ounces)
35.2 ounces / 6 ounces per patty = 5.87
Erica can make a maximum of 5 hamburger patties with the amount of meat she has.
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what is the cube root of 7
Now,
The cube root of 7 = 7^1/3
= 1.912
I hope it's help you...
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What number must you add to complete the square?2++ 24x = 50Answer here
we have
x^2+24x=50
complete the square
(x^2+24x+12^2-12^2)=50
x^2+24x+144=50+144
(x+12)^2=194
therefore
you must add 144 both sidesAs part of statistics project, math class weighed all the children who were willing to participate as shown below.
How many children weighed less than 50 pounds?
Answer:
18
Step-by-step explanation:
The key of this leaf stem-leaf plot is:
4 | 5 = 45
Therefore, the data points that represents children with weight that is less than 50 pounds would be as follows:
First row => 12, 13, 15, 15 15, 16, 16, 19
Second row => 23, 25
Third row => 33, 35, 37, 38, 39
Fourth row => 44, 45, 45
Therefore, the number of children that weigh less than 50 pounds = 18
A 2-column table with 4 rows. The first column is labeled x with entries 0, 0.5, 1, 1.5. The second column is labeled y with entries 40, 39.25, 38.5, 37.75. What is the range of this function?
help me help me help help me help
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
what are four different kinds of graphs and what makes them unique?
Answer:
The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs
Answer:
A pie chart is to illustrate numerical proportion.
Line graphs are used to track changes over short and long periods of time.
Bar graph is a graph that presents categorical data.
Scatter plots' uses are to observe and show relationships between two numeric variables.
Step-by-step explanation:
:)
Seventeen less than three times a number is less than four times the number decreased by nine.
Answer: x > -8
Step-by-step explanation:
3x - 17 < 4x - 9 subtract 3x from both sides, and add 9 to both sides
-3x + 9 < -3x + 9
0 - 8 < x + 0 Rewrite and reverse the sign to simplify
x > -8
Find the slope of each line? (EASY)
To find the slope of the line, we must have any two points on the line.
We can use (0,1) and (1,-1).
The slope's equation is \(\frac{y_{2}-y_{1} }{x_{2} -x_{1} } =\frac{-1-1}{1-0} =\frac{-2}{1} =-2\)
So the slope is -2
Fine the x and y intercepts of (2x^2+11x+15) / (x+3) algebraically
Please asap
Answer: (2x+5)(+3)
Simple Math
We know that corresponding angles of similar figures are congruent. Based on this example, are corresponding sides of similar figures always congruent?
Answer:
no
Step-by-step explanation:
similar figures means that the corresponding angles are congruent and the corresponding sides are similar. this means if ABCD and EFGH are similar, A=E*x, B=F*x, C=G*x, and D=H*x, so they aren't congruent
Which of the following transformations is non-rigid? A.translationB.dilationC.reflectionD.rotation
From the question the transformations that non-rigid is dilation. The correct answer is B.
what is nonrigid transformation?Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.
Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.
As a result, a dilation is a non-rigid transformation because the size of the image is changing.
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if u can answer both questions that would be great but if not just one will help
Answer:
There are 9 white squares.
Answer:
9 white squares
Step-by-step explanation:
i only have the first one , see picture
solve. The scale of the drawing shows a two-bedroom apartment. The master bedroom is 9 ft x 12 ft. Use an inch ruler to measure the drawing. a. The scale is ...b. Write the actual dimensions for each room alongside the scale drawing. I'll upload the drawing picture.
Okay, here we have this:
Considering the provided measures, we are going to identify the scale of the drawing so we obtain the following:
Measuring with the inch ruler, we have:
The space that they say measures 9 feet in inches measures you 0.75, and the one that measures 12 feet in inches measures one inch.
a) Then the scale is: One actual inch equals 12 drawing feet.
b) The student put them on his own and they were verified
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Fwam sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
168 visitors purchased no costume.
252 visitors purchased exactly one costume.
47 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no costume as a percent to the nearest whole number.
The probability that the next person will purchase no costume is 36% to the nearest whole number.
We have,
To express the probability that the next person will purchase no costume as a percent to the nearest whole number, we need to use the total number of visitors to the website as the denominator and the number of visitors who purchased no costume as the numerator.
The total number of visitors to the website is:
168 + 252 + 47 = 467
The number of visitors who purchased no costume is 168.
So the probability that the next person will purchase no costume is:
168/467 = 0.3609
To express this as a percent, we multiply by 100:
0.3609 × 100
= 36.09
Rounding this to the nearest whole number, we get:
36%
Therefore,
The probability that the next person will purchase no costume is 36% to the nearest whole number.
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