The perimeter of the figure as shown in the diagram is 60.84 m.
What is perimeter?Perimeter is the total distance around an object.
To calculate the perimeter of the figure, we use the formula below.
Formula:
P = 2L+W+Wπ/2.............. Equation 1Where:
P = Perimeter of the figureL = Length of the figureW = Width of the figureFrom the question,
Given:
L = 15 mW = 12 mπ = 3.14Substitute these values into equation 1
P = (15×2)+12+(12×3.14/2)P = 30+12+18.84P = 60.84 mHence, the perimeter of the figure is 60.84 m.
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find the slope of the line that contains (6,2) and (6,-3)
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (6, 2) and (x₂, y₂ ) = (6, - 3)
m = \(\frac{-3-2}{6-6}\) = \(\frac{-5}{0}\)
Division by zero is undefined , then slope is undefined
a survey conducted on 1,000 canadians found that 700 of them refused to receive the h1n1 vaccination. construct a 95% confidence interval of the estimated proportion of canadians who refused the vaccination.
A 95% confidence interval for the estimated proportion of Canadians who refused the H1N1 vaccination can be calculated as follows:
Let p be the true proportion of Canadians who refused the vaccination.
The sample proportion is estimated by:
p_hat = 700 / 1000 = 0.7
The standard error of the sample proportion is:
SE = sqrt(p_hat * (1 - p_hat) / 1000) = sqrt(0.7 * 0.3 / 1000) = 0.0247
Using a normal approximation and a z-score of 1.96 (corresponding to a 95% confidence level), the confidence interval can be calculated as:
p_hat +/- z * SE = 0.7 +/- 1.96 * 0.0247 = [0.6511, 0.7489]
So, with 95% confidence, we can estimate that the true proportion of Canadians who refused the H1N1 vaccination lies between 0.6511 and 0.7489.
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If EFGH is a parallelogram, what is the value of X?F(4x - 2)34°GH
Answer:
A. 37
Explanation:
The angles F and G
Jose had 83.8% in math class. He did not do well on his last test and his grade changed by -1.9%. What is his new grade?
Answer:
81.9
Step-by-step explanation:
simple math pls mark brainlist
If the mean of the data set is 353535 apples, find the number of apples on the Granny Smith tree.
Answer:
141414
Step-by-step explanation:
Please help I'm stuck
Answer:
a^2+20a+24
Step-by-step explanation:
Answer:
your answer is a^2 + 20a + 24
Step-by-step explanation:
what type of parameter requires that the argument used to call the method must have an assigned value?
A "required parameter" requires an assigned value for the argument used to call the method, while "optional parameters" do not need to be included in the method call and have a default value assigned to them.
The type of parameter that requires that the argument used to call the method must have an assigned value is a "required parameter".
Required parameters are parameters that must be included in the method call, and the argument passed for the required parameter must have a value assigned to it. If a required parameter is not included in the method call, or if the argument passed for the required parameter does not have a value assigned to it, an error will be thrown.
In contrast, there are also optional parameters, which are parameters that do not need to be included in the method call. If an optional parameter is not included in the method call, the method will use a default value assigned to the parameter.
In many programming languages, the syntax for specifying required and optional parameters in a method or function call is specified using different symbols, such as parentheses or square brackets.
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Solve each system of linear equations by using substitution method.
x - y = -2
2x + y =5
100 POINTS PLS ANSWER
Answer:
x = 1, y = 3
Step-by-step explanation:
Given:
x - y = -2
2x + y = 5
First, add y on both sides for the first equation.
x = y - 2
Then, plug in x into the second equation.
2(y -2) + y = 5
2y - 4 + y = 5
3y = 9
y = 3.
Next, now that you've found y, plug it into either the first or second equation to solve for x. I'll be using the second equation.
2x + 3 = 5
2x = 2
x = 1.
Ans: x = 1, y = 3
PLEASEEEEE HELPPPPP THIS IS ALGEBRA 1
Raise m to the 5th power, then multiply 8 by the result
Answer:
8m⁵
Step-by-step explanation:
m to the 5th power = m × m × m × m × m
= m⁵
Then multiplied by 8 = 8 × m⁵
= 8m⁵
Therefore, m to the 5th power multiplied by 8 will be represented by 8m⁵.
A cupcake recipe makes a total of 5 1/3 cups of butter each cupcake uses 2/5 cup of butter how many whole numbers will this recipe make is it adding or divide ANSWER FAST WILL GIVE BRAINLIEST
answer:
the question is confusing but
the recipe will make: 12 cupcakes
by adding
hope this helped <3
solve : 105/103 = _____
Answer:
1.02
Step-by-step explanation:
I need help asap!!!!
Answer:
A
Step-by-step explanation:
Median: 22
Minimum: 6
Maximum: 30
First quartile: 13
Third quartile: 27.5
Interquartile Range: 14.5
Outliers: none
The cosine of one acute angle of a right triangle is 817.
What is the sine of the other acute angle?
The sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a cosine of one acute angle of a right triangle is 8/17.
Let's suppose the angle is α
\(\rm Cos\alpha = \frac{8}{17}\)
As we know the cos is the ratio of adjacent to hypotenuse and Sin is the ratio of the opposite to hypotenuse.
Let's suppose the length of the hypotenuse is x units
From the Pythagoras theorem:
\(\rm 17^2=x^2+8^2\)
x = 15 units
Now the Sin ratio:
\(\rm Sin\alpha = \frac{15}{17}\)
Thus, the sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.
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Pleaseee help me !! Will give brainliest :)
To find the equation of a regression line, ½ = ax + b, you need these formulas:
A regression line has a slope of 1.885. If the mean of the x-coordinates of the data points is 3.448, and the mean of the y-coordinates is 12.318, what is the y-value of the y-intercept of the line to three decimal places?
A. -5.819
B. - 19.771
C.19.771
D. 5.819
The y-value of the y-intercept of the line is approximately 5.819. The correct answer is (D).
The equation of a regression line is y = mx + b, where m is the slope and b is the y-intercept. We are given that the slope is 1.885, so we have:
y = 1.885x + b
To find the y-intercept, we need to substitute the mean x and y values into this equation and solve for b. We have:
12.318 = 1.885(3.448) + b
Simplifying this equation gives:
12.318 = 6.50668 + b
Subtracting 6.50668 from both sides gives:
5.81132 = b
Rounding this value to three decimal places gives:
b ≈ 5.819
Therefore, the y-value of the y-intercept of the line is approximately 5.819.
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A baker can bake 72 muffins in 3 hours. If the baker sell each muffin for $0.85 each, how much money can the baker make?
He will make $61.20 for 72 muffins in three hours.
A salt water shop sold 86.4 kilograms of bait in the first 6 days of July.
What was the average amount of bait sold each day?
Answer: 14.4
Step-by-step explanation: 86.4 / 6 = 14.4
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What is the slope of a line parallel to line B?
A) 5/3
B) -1/3
C) 5/2
D) 2/5
Answer:
c
Step-by-step explanation:
the rise(y) is 10 if you count and the run(x) is 4 slope is y/x so its 10/4 and you can simplify that to 5/2
The area of the given rectangle is 63 sq m. One of the side is 9 m, then the missing side of the given rectangle will be
Answer:
7 m
Step-by-step explanation:
63/9=7 and 7*9=63
Answer: 7.
Step-by-step explanation:
Divide 63 and 9 and you get 7. Remember, length times width equals area.
Find a set of parametric equations for the rectangular equation that satisfies the given condition. (Enter your answers as a comma-separated list.) y = 3x - 4, t = 0 at the point (4, 8)
To find the set of parametric equations for the rectangular equation y = 3x - 4, we need to express x and y in terms of a parameter, say t. Let us assume that t = 0 at the point (4, 8).
First, we can write x in terms of t as x = 4 + at, where a is some constant. To find the value of a, we can use the fact that y = 3x - 4. Substituting x = 4 + at in this equation, we get y = 3(4 + at) - 4 = 12 + 3at. So, the set of parametric equations for y and x are:
x = 4 + at
y = 12 + 3at
Note that these parametric equations are not unique. We could have chosen a different parameterization, say t = 1 at the point (4,8), and obtained a different set of parametric equations. However, the given condition specifies the starting point and therefore determines the parameterization.
In summary, we can find a set of parametric equations for a rectangular equation by expressing x and y in terms of a parameter, using the given condition to determine the starting point, and choosing a suitable parameterization.
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Reconsider the investigation of the manufactur- ing process that is producing hypodermic needles, Recall that the most recent random sample of 35 needles have an average diameter of 1.64 mm and a standard deviation of 0.07 mm. a. In the context of this study, explain why it is valid to use the theory-based (t-distribution) approach to find a con- fidence interval? b. Use the Theory-Based Inference applet to find and report a 95% confidence interval for the average diameter of needles produced by this manufacturing process. c. Based on the above 95% confidence interval alone, is there evidence that the average diameter of needles pro- duced by this manufacturing process is different from 1.65 mm? How are you deciding?
The t-distribution can be used to construct confidence intervals of means when the sample size is more than 30 or when the population's distribution is unknown. the sample size is greater than 30, and the population's distribution is unknown.
The 95% confidence interval can be calculated using the theory-based inference applet:For a 95% confidence interval, the value o\(f t=2.03The 95%\)confidence interval for the average diameter of needles produced by the manufacturing process is(1.614,1.666)c. Since the confidence interval includes 1.65, there is no evidence that the average diameter of needles produced by this manufacturing process is different from 1.65mm.
If the average diameter was 1.65mm, we would anticipate observing data in the interval we just created 95% of the time. As a result, we cannot reject the hypothesis that the average diameter of needles produced by the manufacturing process is different from 1.65mm since the confidence interval contains 1.65mm.
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if the cost of the wallpaper was $771.12 , what was the cost , in dollar , of the wallpaper per square foot
Answer:
$0.72
Step-by-step explanation:
:)
What is the rule to find the missing term ? ( IMAGE HAS TABLE )
CHOICES
A. 2/n
B. n + 2
C. 2n
D. n - 2
~ PLEASE HELP ~
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation: g
Jarvis needs to determine the distance across a lake. However, he can't measure this distance directly over the water. So, he set up a
situation where he could use the measurements of two similar triangles to find the distance across the lake.
He selects a point X such that XZ is perpendicular to VZ, where V is a point at the other end of the lake. He then picks a point Y on
XZ. From point Y, he finds point W on XV such that WY is parallel to VZ
IfXY=2,148 feet, WY= 1,074 feet, and XZ = 6,444 feet, what is the length of VZ, the distance across the lake?
The length of VZ (distance across the lake) is 3222 feet.
Properties of similar triangle.
Similar triangles are two or more triangles which have common corresponding properties. Thus the corresponding sides or angles can be compared.
But note that similarity of given shapes does not imply that they are congruent i.e equal in all respect.
To determine the distance across the lake, Jarvis needs to compare the similar triangles ΔXYW and ΔAZV.
Thus on comparing the length of corresponding sides of the triangles, it can be deduced that:
WY/ VZ = XY/ XZ
1074/ VZ = 2148/ 6444
VZ = (1074*6444)/ 2148
= 3222
VZ = 3222 feet
Therefore, the distance across the lake i.e VZ is 3222 feet.
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Below are some scores from students in an MBA program who had to take a Statistics course in college. Use it to answer the questions that follow. Numerical answers only. 4,0, 11, 36, 28, 47, 40, 44, 44, 39, 33, 33, 32, 48, 34, 38, 27, 40, 37, 41, 42, 38, 48, 43, 35, 37, 37, 25 a. Find the 60th percentile score = b. Find the 90th percentile score = c. Find the score at the 50th percentile d. Find the percentile for a score of 33 - percentile e. How many people scored above the 92nd percentile?
a. 60th percentile score = 38.5, b. 90th percentile score = 44, c. Score at 50th percentile = 34.5, d. Percentile for a score of 33 = 25.93%, e. Number of people scored above the 92nd percentile = 2.
How to calculate percentiles in statistics?a. To find the 60th percentile score, arrange the scores in ascending order: 0, 25, 27, 28, 32, 33, 33, 34, 35, 36, 37, 37, 37, 38, 38, 39, 40, 40, 41, 42, 43, 44, 44, 47, 48, 48.
Since there are 27 scores in total, the index of the 60th percentile is calculated as follows:
Index = (Percentile / 100) * (n + 1)
= (60 / 100) * (27 + 1)
= 0.6 * 28
= 16.8
The 60th percentile falls between the 16th and 17th values in the ordered list. Therefore, the 60th percentile score is the average of these two values:
60th percentile score = (38 + 39) / 2 = 38.5
b. Similarly, for the 90th percentile score:
Index = (90 / 100) * (27 + 1)
= 0.9 * 28
= 25.2
The 90th percentile falls between the 25th and 26th values in the ordered list. The average of these two values gives the 90th percentile score:
90th percentile score = (44 + 44) / 2 = 44
c. The score at the 50th percentile is simply the median of the ordered list. Since there are 27 scores, the median falls between the 13th and 14th values:
50th percentile score = (34 + 35) / 2 = 34.5
d. To find the percentile for a score of 33, we count the number of scores that are less than or equal to 33 and divide it by the total number of scores:
Percentile = (Number of scores less than or equal to 33 / Total number of scores) * 100
= (7 / 27) * 100
≈ 25.93%
e. To determine the number of people who scored above the 92nd percentile, we subtract the percentile from 100 and calculate the count:
Number of people = (100 - 92) / 100 * Total number of scores
= (8 / 100) * 27
= 2.16
Since we cannot have a fraction of a person, we round it to the nearest whole number:
Number of people scored above the 92nd percentile = 2
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instructions: Find the missing side. Round your answer to the nearest tenth.
Simplify the following expression.
Answer:
4^1/8
Step-by-step explanation:
One of the exponential properties
Answer:
○ \(\bf 4^{\frac{1}{8}}\)
Step-by-step explanation:
To solve this, we have to use the following rule of surds:
\(\boxed{(a^m)^n = a^{m \times n}}\).
Thus we can simplify the given expression:
\((4^{\frac{1}{4}})^{\frac{1}{2}}\)
⇒ \(4^{{\frac{1}{4}} \times{\frac{1}{2}}}\)
⇒ \(4^{{\frac{1}{4}} \times{\frac{1}{2}}}\)
⇒ \(\bf 4^{\frac{1}{8}}\)
Please help with math problem ASAP
Answer:
2nd option.
Step-by-step explanation:
.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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A boat has a speed of 11 mph in still water. If the boat takes the same time to go 40 miles upstream as it takes to go 70 miles downstream, what is the speed of the current
To solve this problem, let's assume the speed of the current is "x" mph. When the boat is traveling upstream (against the current), its effective speed is reduced by the speed of the current. Therefore, the speed of the boat relative to the water is 11 - x mph.
When the boat is traveling downstream (with the current), its effective speed is increased by the speed of the current. Therefore, the speed of the boat relative to the water is 11 + x mph.
Now, let's calculate the time taken for each leg of the journey:
Time taken to go 40 miles upstream = Distance / Speed
Time taken to go 40 miles upstream = 40 / (11 - x) hours
Time taken to go 70 miles downstream = Distance / Speed
Time taken to go 70 miles downstream = 70 / (11 + x) hours
According to the problem, these times are equal. So, we can set up the equation:
40 / (11 - x) = 70 / (11 + x)
To solve this equation, we can cross-multiply:
40 * (11 + x) = 70 * (11 - x)
440 + 40x = 770 - 70x
Now, let's solve for x:
110x = 330
x = 3
Therefore, the speed of the current is 3 mph.
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scenario three has two more options e: there is a 50hance of winning $0 and a 50hance of winning $ f: there is a 50hance of winning $20 and a 50hance of winning $60.
In scenario three, we explore additional options e and f, each with their own unique probabilities and potential outcomes.
Option e introduces a 50% chance of winning $0 or an unspecified amount, while option f offers a 50% chance of winning either $20 or $60.
These options introduce different potential outcomes and associated probabilities compared to the original scenarios. In option e, there is an equal chance of winning nothing or winning an unspecified amount of money.
The introduction of these options expands the range of possible outcomes and probabilities in scenario three, providing different risk-reward trade-offs for the decision-maker.
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