Answer:
yes
Step-by-step explanation:
f the exterior angle of a polygon is given, then the formula to find the interior angle is Interior Angle of a polygon = 180° – Exterior angle of a polygon Method 3: If we know the sum of all the interior angles of a regular polygon, we can obtain the interior angle by dividing the sum by the number of sides
USH financial is a small bank that is examining its customers use of its website.the number of online transactions made per day during the past 9 days are as follows
The mean, median, and mode are;
median=77
Mean=73.33
Mode= 78, 67
This is further explained below.
What is median?Generally, The middle number in a list that is arranged from smallest to greatest is referred to as the median. On the list, the value that occurs most often is known as the mode. Therefore
median=77
Generally, In mathematics, particularly statistics, the term "mean" may refer to a number of different concepts. The purpose of each mean is to summarize a certain collection of data, often for the purpose of gaining a better understanding of the overall value of a specific data set.
A dataset's mean (also known as the arithmetic mean, which is distinct from the geometric mean) is calculated by dividing the sum of all of the values in the dataset by the total number of values in the dataset. It is the measure of central tendency that is used the most often, and it is sometimes referred to as the "average."
[tex]mean=\frac{\sum x}{n}\\\\Mean=\frac{78+67+98+50+67+78+67+77+78}{9}[/tex]
Mean=73.33
Mean=73.3 in one dp
What exactly is the mode in math?In conclusion, The mode is the number that appears the most often, or the number that stands out as having the most occurrences overall. The number 2 is the mode of the sequence 4, 2, 4, 3, 2, 2 because it appears three times, which is more than any other number in the sequence.
The mode of 78, 67, 98, 50, 67, 78, 67, 77, 78 is
Mode= 78, 67
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Please help! Need em doneee
Kevin is filing his return under the single status. His taxable income is $125,500 per year. What tax bracket would he be in?
Since Kevin is filing his tax return under the single status, he would be in the tax bracket of $86,376 to $164,925 with a marginal tax rate of 24%.
What is a tax bracket?Under the progressive tax system, a tax bracket is a range of taxable incomes that is subject to a marginal tax rate.
Tax brackets provide a systematic way of progressively taxing taxpayers' income.
Data and Calculations:Taxable income = $125,500
Since he falls under the tax bracket of $86,376 to $164,925, Kevin's tax rate is 24%.
Thus, as a single taxpayer, Kevin falls under the tax bracket of $86,376 to $164,925 with a marginal tax rate of 24% of taxable income.
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Question Completion:Personal Income Tax Brackets for Single Filers:
Tax rate Taxable income bracket Tax owed
10% $0 to $9,950 10% of taxable income
12% $9,951 to $40,525 $995 plus 12% of the amount over $9,950
22% $40,526 to $86,375 $4,664 plus 22% of the amount over $40,525
24% $86,376 to $164,925 $14,751 plus 24% of the amount over $86,375
Tanya is a car saleswoman. Below are the number of cars that she sold in each of the last six months. 23, 21, 21, 20, 21, 20 Using this data, create a dot plot where each dot represents a month. 19, 20 ,21 Number of cars sold 22 ,23 pls
Answer: so there would be 1
23
3 21
2 20
Step-by-step explanation:
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so
the equation to solve is 2a + b = 15.7.
ayer/
If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side,
which lengths make sense for possible values of b? Select two options.
The value of the base b in the isosceles triangle is 3.1 inches.
According to the statement
we have given that the
equation is 2a + b = 15.7 and if one longer sides is 6.3 centimeter.
And we have to find the length of the base. Then
2a + b = 15.7
Here a is 6.3 cm then
Substitute the values in it then
2a + b = 15.7
2(6.3) + b = 15.7
After solving the equation
12.6 + b = 15.7
b = 15.7 - 12.6
Now we get the value of base b which is 3.1.
So, b = 3.1
So, The value of the base b in the isosceles triangle is 3.1 inches.
Disclaimer: This question was incomplete. Please find the full content below.
Question:
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths.
If one of the longer sides is 6.3 centimeters, what is the length of the base?
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Karin has 13 coins (2 quarters, 6 dimes, 4 nickels, and 1 penny) in a piggy bank. She turns the bank
upside down and shakes the bank until a coin falls out, puts it aside, and the shakes until another coin
falls out.
What is the probability that the first coin is a nickel and the second coin is a quarter?
Select one:
a. 2/30
b. 6/13
c. 2/13
d. 1/8
Using it's concept, the probability that the first coin is a nickel and the second coin is a quarter is:
2/39.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
For the first coin, 4 out of 13 will be nickels.For the second coin, considering a nickel was taken with the first coin, 2 out of 12 will be quarters.Hence the probability will be given as follows:
p = 4/13 x 2/12 = 4/13 x 1/6 = 2/13 x 1/3 = 2/39.
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Find the volume of the given cylinder.
r=5 ft., h=15 ft.
Perdue Company purchased equipment on October 1 for $36,100. The equipment was expected to have a useful life of three years, or 4,900 operating hours, and a residual value of $1,800. The equipment was used for 900 hours during Year 1, 1,700 hours in Year 2, 1,500 hours in Year 3, and 800 hours in Year 4.
Required: Round up all final values
Straight line Method
Under the straight-line depreciation method, the depreciation expenses for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, for Perdue Company, are as follows:
Year Amount
Year 1 $2,858.33 ($11,4333.33 x 3/12)
Year 2 $11,433.33
Year 3 $11,433.33
Year 4 $8,575.01 ($11,433.34 - $2,858.33)
What is the straight-line depreciation method?The straight-line method is one of the depreciation methods in use by companies to allocate the cost of plants and equipment over their useful lives.
Under the straight-line method, the depreciable amount (cost less residual value) is divided by the estimated useful life.
Other depreciation methods include the unit-of-production, double-declining-balance, and the sum-of-the-years-digit methods.
Data and Calculations:Equipment cost = $36,100
Residual value = $1,800
Depreciable amount = $34,300 ($36,100 - $1,800)
Estimated useful life = 3 years
Annual depreciation = $11,433.33 ($34,300/3)
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Question Completion:Determine the amount of depreciation expense for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, by the straight-line method.
If
m ≤ f(x) ≤ M
for
a ≤ x ≤ b,
where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then
m(b − a) ≤
b
a
f(x) dx ≤ M(b − a).
Use this property to estimate the value of the integral.
⁄12 7 tan(4x) dx
It's easy to show that [tex]7\tan(4x)[/tex] is strictly increasing on [tex]x\in\left[0,\frac\pi8\right][/tex]. This means
[tex]M = \max \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/12} = 7\sqrt3[/tex]
and
[tex]m = \min \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/16} = 7[/tex]
Then the integral is bounded by
[tex]\displaystyle 7\left(\frac\pi{12} - \frac\pi{16}\right) \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le 7\sqrt3 \left(\frac\pi{12} - \frac\pi{16}\right)[/tex]
[tex]\implies \displaystyle \boxed{\frac{7\pi}{48}} \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le \boxed{\frac{7\sqrt3\,\pi}{48}}[/tex]
Show Work Please Thank You
The angles in degrees to radian is as follows:
-54 degrees = -3π / 10 radian
How to convert from degree to radian?The measurement is in degrees. Let's convert it to radian with respect to π.
Therefore,
180 degrees = π radian
-54 degrees = ?
cross multiply
Hence,
angle in radian = -54 × π / 180
angle in radian = - 54π / 180
angle in radian = - 6π / 20
angle in radian = -3π / 10 radian
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Find mEHFˆ. PLEASE HELP ASAP
Answer:
30°
Step-by-step explanation:
[tex]\frac{195-(8x+17)}{2}=5x-10 \\ \\ 178-8x=10x-20 \\ \\ 198=18x \\ \\ x=11[/tex]
So, this means arc FH measures 105 degrees.
Since the circumference of a circle measures 360 degrees, arc EF measures 60 degrees.
By the inscribed angle theorem, angle EHF measures 30°.
mary is making a batch of chocolate chip cookies the recipe calls for 9 cups of flour and 2 4/7 cups of sugar she isshort on flour cuts the recipe down to 7 cups if flour how much sugar should she add
Mary added [tex]$24 \frac{1}{2}[/tex] cups of sugar.
How to estimate how much sugar should Mary add?The ratio of flour to sugar exists at 9 cups: 2 4/7 cups
Utilizing equivalent ratios, given that 7 cups of sugar was utilized,
Let cups of flour needed = x such that our equation becomes
flour/sugar[tex]$ =\frac{9}{2\frac{4}{7} }=\frac{x}{7}[/tex]
[tex]$ \frac{9}{2\frac{4}{7} }=\frac{x}{7}[/tex]
Convert mixed numbers into improper fractions
[tex]$2 \frac{4}{7}= \frac{18}{7}[/tex]
simplifying the above equation, we get
[tex]$\frac{9}{\frac{18}{7} } = \frac{x}{7}[/tex]
= [tex]$24 \frac{1}{2}[/tex]
x = 24.5
The value of x = 24.5.
Therefore, [tex]$24 \frac{1}{2}[/tex] cups of sugar exist required.
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(GIVING BRAINLYST) 1(Multiple Choice Worth 2 points) (15.01 LC) Which number sequence follows the rule subtract 15 starting from 105? O 15, 30, 45, 60, 75 O 15, 10, 25, 20, 35 O 105, 100, 95, 90, 85 O 105, 90, 75, 60, 45
D
Step-by-step explanation:
The correct answer is option D, which is 105, 90, 75, 60, 45.
Scenario 2 You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate. For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount.
The best approach to calculating the stipulated 20% tip by means of fractions is to note that the tip is one-fifth of the total amount charged on the bill.
What is the equivalent of the 20% tip as indicated in the task content?The percentage represented as; 20% can be expressed as a fraction.
This follows from the fact that the percentage, % symbol translates to divided by 100.
Consequently, we must note that the 20% translates to; 20/100 = 1/5.
Hence, the 20% tip is one-fifth of the total amount.
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Please help. Which spinner will give maria the best probability of winning a prize
Explain why.
PLEASE HELP ME .IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answer: [tex]\frac{10\pi}{3}[/tex] m
Step-by-step explanation:
[tex](2)(\pi)(4) \left(\frac{150}{360} \right)=\frac{10\pi}{3}[/tex]
Static and Reasoning:
Isabella is studying the fairness of a six-sided numbered cube with numbers 1, 2, 3, 4, 5, and 6. The numbered cube is rolled 36 times, and the numbers on the top side are recorded in the table below.
Based on the data, what conclusion would you make about the fairness of the numbered cube? Justify your answer.
Based on the data recorded by Isabella, it can be concluded the cube is rather fair.
How many times did Isabella get each number?Based on the data, here are the results:
Getting a 1: 6 timesGetting a 2: 5 timesGetting a 3: 7 timesGetting a 4: 5 timesGetting a 5: 6 timesGetting a 6: 7 timesThis implies, in total Isabella got the same number between five and seven times. For example, the number 2 was obtained 5 times, but the number 3 was obtained 7 times.
What can be concluded based on the results?Even though Isabella did not get the same number of times each number, the dice is rather fair because by rolling the dice thirty six times you will obtain the same number at least five times.
Moreover, there is not a big difference in the number of times you obtain each number.
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find the value of a x 7 when a=6
Answer:
=> 42 ..
Step-by-step explanation:
Given : a = 6
=> a × 7
=> 6 × 7
=> 42
the perimeter of a rectangle if 24 inches. the rectangle is enlarged so that each side is twice as long as the original. what effect does this enlargement have on the perimeter?
The perimeter becomes double when each side is twice as long as the original.
According to the statement
we have given that the perimeter of a rectangle is 24 inches. and we have to find that the what effect does this enlargement have on the perimeter.
So, For this purpose, we know that the
A rectangle is a parallelogram all of whose angles are right angles especially : one with adjacent sides of unequal length.
The formula to find the perimeter of rectangle is 2(L + B)
And we the length is goes to increased by double then the perimeter will also goes to double.
Because perimeter is directly proportional to the length and breadth of rectangle.
So, The perimeter becomes double when each side is twice as long as the original.
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Claim: Fewer than 94% of adults have a cell phone. In a reputable poll of 1057 adults, 89% said that they have a cell phone. Find the value of the test statistic. The value of the test statistic is nothing. (Round to two decimal places as needed.)
Answer:
suma todos los decimales
Step-by-step explanation:
empieza sumando 1059-94%eso te da 993,58 luego le sumas 89% lo que te da 884,2862 espero haberte ayudado
What is the center and radius of the circle?
Use the following information collected in a town of fast food restaurants. 13 served hamburgers, 8 served roast beef sandwiches, 10 served pizza, 5 served hamburgers and roast beef sandwiches 3 served hamburgers and pizza, 2 served roast beef sandwiches and pizza, 1 served hamburgers, roast beef sandwiches and pizza, 5 served none of the three foods
a) Construct a Venn Diagram and put the correct numbers in the Venn diagram.
b) Find the Probabilities. P(pizza)= ___________
c) P (roast beef and pizza)=___________
d) P ( hamburgers, but not roast beef) =______________
e) P (only hamburgers) = ____________
Answer:
I don't know what are you saying bro
Joyce paid $108.00 for an item at the store that was 40 percent off the original price. What was the original price?
The original price of the item is $180
The values given in the question are;
Actual cost of the item Joyce bought= $108
The item was sold 40 percent off the original price
The original price can be calculated as follows
The first step is to subtract 40% from 100%
100%- 40%
= 60%
Let x represent the original price of the item
60/100x= 108
0.6x= 108
Divide both sides by the coefficient of x which is 0.6
0.6x/0.6= 108/0.6
x= 180
Thus, the original price of the item is $180
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a box with a square base has length plus girth of 108 in. What is the length of the box if its volume is 2200 in^3?
The missing length of the box with square base is 20.370 inches.
What is the missing length of the box?
This box can be represented by a right prism, whose volume (V), in cubic inches, is the product of the area of the base (A), in square inches, and the height of the box (h), in inches. The area of the base is equal to the square of the side length (l):
V = l² · h (1)
If we know that V = 2 200 in³ and l = 108 in, then the height of the box is:
h = V / l²
h = (2 200 in³) / (108 in)
h = 20.370 in
The missing length of the box with square base is 20.370 inches.
Remark
The statement presents typing mistakes, correct form is shown below:
A box with a square base has a side length of 108 in. What is the length of the box if its volume is 2 200 in³?
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value of 10 in A/B
value of letter
The value of the expression (a - b)² from the given equations is; 16
How to solve simultaneous equations?
We are given the two equations as;
a + b = 10 -----(eq 1)
ab = 21 ------(eq 2)
From eq 1, square both sides;
(a + b)² = 10²
a² + 2ab + b² = 100
a² + b² = 100 - 2ab
We are given ab = 21. Thus;
a² + b² = 100 - 2(21)
a² + b² = 58
Now, we know that (a - b)² = a² - 2ab + b²
Thus;
(a - b)² = 58 - 2(21)
(a - b)² = 16
Complete question is;
If a + b = 10 and ab = 21, then the value of (a - b)² is?
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graph f(x)=(1/4)^x step 4: Plot the points (1, 1/4) and (-1, 4)
The graph of the function, f(x) = (1/4)ˣ, can be seen in the attached graph, following the given steps.
In the question, we are given the function, f(x) = (1/4)ˣ.
Step 1, has asked us to find the initial value of the graph, f(0).
This can be calculated by substituting x = 0, in the given function, which gives us:
f(0) = (1/4)⁰ = 1.
Step 2, has asked us to plot the initial value of the function at (0, 1). This is plotted using the graphing tools.
Step 3, has asked us to evaluate f(1) and f(-1). By substituting x = 1, and x = -1, we get:
f(-1) = (1/4)⁻¹ = 4,
f(1) = (1/4)¹ = 1/4.
Step 4, has asked us to plot the points (1, 1/4), and (-1, 4). This is plotted using the graphing tools.
Step 5, has made us identify the asymptote y = 0.
Step 6, gives us the final curve for the function, f(x) = (1/4)ˣ.
The provided question is incomplete. The complete question is:
"Graph: f(x) = (1/4)ˣ
Step 1: Calculate the initial value of the function. f(0) =
Step 2: Plot the initial value of the function at (0, 1).
Step 3: Evaluate the function at two more points. f(1) = 1/4, f(-1) = 4
Step 4: Plot the points (1, 1/4) and (-1, 4)
Step 5: Identify the horizontal asymptote of the function. The asymptote is the line y = 0
Step 6: The smooth curve that includes these points and approaches to the asymptote shows the graph of the function"
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HELP PLEASE ASAP Find the distance between A and B. (5,1) (-3,-4)
Answer:
6.32
Step-by-step explanation:
The formula we use to find the distance between two points is:
[tex]\sqrt{(x_1-x_2)+(y_1-y_2)}[/tex]
The x1 is -3, the x2 is 5, the y1 is -4, and lastly, the y2 is 1.
If we input these numbers in the equation, we end up with:
[tex]\sqrt{(-3-5)+(-4-1)}[/tex]
= [tex]\sqrt{(-8) (-5)}[/tex]
= [tex]\sqrt{40}[/tex]
= [tex]2\sqrt{10}[/tex]
= 6.32455532
Rounded to the nearest hundredth is 6.32
PLEASE HELP ME SOLVE THIS
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900 voters in the town and found that 63% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 59%. Make the decision to reject or fail to reject the null hypothesis at the 0.02 level
Using the z-distribution, it is found that since the p-value is less than 0.02, we reject the null hypothesis.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is of at most 59%, that is:
[tex]H_0: p \leq 0.59[/tex]
At the alternative hypothesis, it is tested if the proportion is greater than 59%, hence:
[tex]H_1: p > 0.59[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.For this problem, the parameters are:
[tex]p = 0.59, n = 900, \overline{p} = 0.63[/tex]
Hence the value of the test statistic is found as follows:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.63 - 0.59}{\sqrt{\frac{0.59(0.41)}{900}}}[/tex]
z = 2.44.
What is the p-value and the conclusion?Using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is higher than a value, with z = 2.44, the p-value is of 0.0073.
Since the p-value is less than 0.02, we reject the null hypothesis.
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Which table of values represents a function?
x y
-3 10
4 4
-5 -3
4 4
x y
2 8
6 9
6 3
5 7
x y
1 2
1 4
1 6
1 8
x y
5 2
-3 2
2 2
1 7
The table in the list of tables that represent an actual function is the first table i.e.
x y
-3 10
4 4
-5 -3
4 4
How to determine the table of values represents a function?The table of values is given as:
Table 1
x y
-3 10
4 4
-5 -3
4 4
Table 2
x y
2 8
6 9
6 3
5 7
Table 3
x y
1 2
1 4
1 6
1 8
Table 4
x y
5 2
-3 2
2 2
1 7
For a table to represent a function, each of the x value on the table must correspond to exactly one y value
i.e.
x1 = y1
x2 = y2
And so on
Using the above highlights, the table that represents a function is table 1
Hence, the table in the list of tables that represent an actual function is the first table i.e.
x y
-3 10
4 4
-5 -3
4 4
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