The accountant should use a left-tailed hypothesis test to analyze whether the average amount of a tax refund is less than 250 dollars.
A left-tailed test is used when the null hypothesis states that the population mean is greater than or equal to a certain value, and the alternative hypothesis states that the population mean is less than that value. In this case, the null hypothesis would be that the average amount of a tax refund is greater than or equal to 250 dollars, and the alternative hypothesis would be that the average amount is less than 250 dollars.
what is average amount?
The average amount, also known as the mean, is a measure of central tendency that represents the sum of a set of values divided by the total number of values in the set. It gives an idea of the typical value or the central value of a dataset.
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if you use 100 degrees celsius for the temperature of steam in your calculations, how much error do you introdcue if it is actuallly 99
If the actual temperature of steam is 99 °C and is assumed to be 100 °C in calculations, the error introduced can be significant depending on the specific calculations being performed.
Similarly, if the actual temperature of steam is 101 °C and is assumed to be 100 °C, the error introduced can also be significant.
The amount of error introduced when assuming the temperature of steam to be 100 °C instead of the actual temperature of 99 °C or 101 °C depends on the specific calculations being performed.
Similarly, in industrial processes, assuming an incorrect temperature of steam could result in inefficiencies or even safety hazards. Therefore, the difference between the actual temperature of steam and the assumed temperature of 100 °C should not be considered negligible in many cases.
In conclusion, the error introduced by assuming a temperature of 100 °C instead of the actual temperature of steam depends on the specific calculations being performed and can be significant in some cases. It is always best to use accurate and precise measurements in scientific and engineering calculations to minimize the potential for error.
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Complete Question:
1. If you use 100 °C for the temperature of steam in your calculations, how much error do you introduce if it is actually 99 °C or 101 °C? Is this difference negligible?
Jared bought 7 cans of paint. A can of red paint costs $3. 75. A can of red paint costs $2. 75. Jared spent $22 in all. How many cans of red and black paint did he buy?
Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.
He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.
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Using the Ratio test, determine whether the series converges or diverges: [10] PR √(2n)! n=1 Q4 Using appropriate Tests, check the convergence of the series, [15] Σεπ (+1) 2p n=1 Q5 If 0(z)= y"
To determine whether a series converges or diverges, we can use various convergence tests. In this case, the ratio test and the alternating series test are used to analyze the convergence of the given series. The ratio test is applied to the series involving the factorial expression, while the alternating series test is used for the series involving alternating signs. These tests provide insights into the behavior of the series and whether it converges or diverges.
Q4: To check the convergence of the series Σ √(2n)! / n, we can apply the ratio test. According to the ratio test, if the limit of the absolute value of the ratio of consecutive terms is less than 1, the series converges.
Using the ratio test, we take the limit as n approaches infinity of |aₙ₊₁ / aₙ|, where aₙ represents the nth term of the series. In this case, aₙ = √(2n)! / n. Simplifying the ratio, we get |(√(2(n+1))! / (n+1)) / (√(2n)! / n)|.
Simplifying further and taking the limit, we find that the limit is 0. Since the limit is less than 1, the series converges.
Q5: To check the convergence of the series Σ (-1)^(2p) / n, we can use the alternating series test. This test applies to series that alternate signs. According to the alternating series test, if the terms of an alternating series decrease in absolute value and approach zero, the series converges.
In this case, the series Σ (-1)^(2p) / n alternates signs and the absolute value of the terms approaches zero as n increases. Therefore, we can conclude that the series converges.
It's important to note that these convergence tests provide insights into the convergence or divergence of a series, but they do not provide information about the exact value of the sum if the series converges.
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HELP!!!!!!!
I cant get this wrong
Answer:
\(3\)×\(10^{-10\)
Step-by-step explanation:
Expand all the numbers:
\(3\)×\(10^{-11}\) = 0.00000000003\(2\)×\(10^{-10\) = 0.0000000002\(9\)×\(10^{-11\) = 0.00000000009\(3\)×\(10^{-10\) = 0.0000000003Find the biggest number:
The biggest number is the list is 0.0000000003 which is \(3\)×\(10^{-10\) which will be your answer!
Have a lovely day :)
PLEASE HELP!! (Question in picture)
For BRAINLIEST and more !!
Like terms are terms that have the same variable no matter the coefficient value such as a negative or positive coefficient (number right to left of the variable aka the letter representing an unknown amount of value).
A. 8n : - 4n becuase the have the same variable (N)
B. - 2d: D because they have the same variable and even if d has no coefficient, it still has value, variables with no coefficient always equal 1 no matter the circumstances
C. - b: 17b and -3b2 because they both have the same variable eliminating the coefficients being two different types of numbers (positive and negative). The expressions have to have the same variable.
D: 4y², -3y2,4y, and 4 to the second power. This is because they all have the same variable.
E. 6x2y: 3xy because the variable are specifially xy and they must be in order to be like terms.
abc: all because they have all the letters but are just in different orders of variables. (thats all)
6.
The cost of 5. 5 pounds of apples is $40. 81
What is the constant of proportionality that relates
the cost in dollars, y
to the number of pounds of apples, X?
A) 5. 5
B) 5. 94
C) 6. 37
D) 7. 42
F)8. 16
G) Not listed
Answer:
D 7.42
Step-by-step explanation:
y = k x
40.81 = k ( 5.5)
k = 40.81/5.5 =
Of the songs in Brianna's music library, 1/3 are rock songs. Of the rock songs, 7/10 feature a guitar solo. What fraction of the songs in Brianna's music library are rock songs that feature a guitar solo?
Answer:
7/30 of her music library
Step-by-step explanation:
We are looking for 7/10 of 1/3. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply
top × top
and
bottom × bottom
1/3 × 7/10
is 1×7 on top, and
3×10 on the bottom.
= (1×7)/(3×10)
= 7/30
7/30 cannot be simplified, so that is the answer.
In the figure, ABCD is a square. E is the midpoint of side AD, and F is the midpoint of side BC. The area of the shaded region is
what fraction of the area of square region ABCD ?
Correct option is D, the fraction of area of square region ABCD is 1/4.
A + B + C = D + E + F since diagonal QS divides the square into two equal portions.
We can see that the areas of regions A and F must be equal because they have the exact same measurements and form. Similar reasoning leads us to the conclusion that the areas of regions D and C are equal.
As a result, it follows that the size of regions E and B must likewise be equal. Due to the fact that URPT is a parallelogram, its area equals (base)(height)=(1)(2)=2.
Area of region E = Area of region B = 1 as a result.
The percentage of the square PQRS's area is represented by the darkened region 1/4 is a fraction.
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Complete question -
2(1/3x)(2/5y)
i cant solve this one can anyone help me I am stuck over here
Answer:
4/15xy
step-by-step explanation:
2(1/3x) (2/5y)
= 2/3x × (2/5)y
= 2×2
xy
3×5
= 4/15xy
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
4/15xy
Step-by-step explanation:
2(1/3x) (2/5y)
= 2/3x × (2/5)y
= 2×2
xy
3×5
= 4/15xy
If one leg of a right triangle is 18 units and the other leg is 24 units, what is the length of the hypotenuse (in units)?
In response to the supplied query, we may state that Therefore, the Pythagorean theorem length of the hypotenuse is 30 units.
what is Pythagorean theorem?The Pythagorean Theorem, often known as the Pythagorean Theorem, is the fundamental Euclidean geometry relationship between the three sides of a right triangle. The area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the right angle equals the sum of the squares that span its sides. It is sometimes written as the general algebraic notation a2 + b2 = c2.
The Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two legs (the sides that create the right angle) is equal to the square of the length of the hypotenuse, may be used to determine the length of the hypotenuse (the side opposite the right angle).
In this instance, we have two legs, one measuring 18 units and the other 24 units. Let's call the hypotenuse's length "c" for short. The Pythagorean theorem may then be used to determine the value of "c":
\(c^2 = 18^2 + 24^2\\c^2 = 324 + 576\\c^2 = 900\\c = \sqrt(900)\\c = 30\)
Therefore, the length of the hypotenuse is 30 units.
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Find the measure of AngleQ, the smallest angle in a triangle whose sides have lengths 4, 5, and 6. Round the measure to the nearest whole degree.
Answer:
41
Step-by-step explanation:
41 degrees is the measure of AngleQ, when the smallest angle in a triangle whose sides have lengths 4, 5, and 6.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given the side lengths PR = 4, RQ = 6 and PQ = 5
According to the law of cosine,
c=√a²+b²-2abcosФ
Substituting the values,
4=√5²+6²-2×5×6 cos∠Q
4=√25+36-60 cos∠Q
4=√25+36-60 cos∠Q
Take square on both sides
16=25+36-60 cos∠Q
16=61-60 cos∠Q
16-61=-60cos∠Q
-45=-60cos∠Q
Divide both sides by 60
cos⁻¹(45/60)=∠Q
41=∠Q
Hence, the measure of ∠Q is 41 degrees.
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Consider this problem: 2+3(3)+5(2+3)+2(-5)
a.
How many terms are in the expression?
Answer:
\(5\)
....,,,✨✨✨✨✨✨✨
What are the slope and y-intercept of the line
represented by the points shown in the table?
O slope: 2, y-intercept: -20
Oslope: 2, y-intercept: 10
Oslope: 5, y-intercept: -20
O slope: 5, y-intercept: 10
The slope of the line is 2 and y-intercept is -20 and the linear equation can be framed as y = 2x—20 option first is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
Taking two points to find the slope of the line:
(0, -20) and (5, -10)
\(\rm m =\dfrac{-10+20}{5-0}\)
m = 2
The straight line equation:
y = mx + c
y = 2x + c
Plug (0, -20)
-20 = c
Thus, the slope of the line is 2 and y-intercept is -20 and the linear equation can be framed as y = 2x—20 option first is correct.
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if the weekday hours tripled but your budget of $220 for 26 parking hours remain the same. how many weekend hours can you purchase now that the weekday hours have increased?
The weekend hours that can be purchase now that the weekday hours have increased is 16 hours.
How to calculate the number of hours?From the information, the initial cost is given as $2 per hour. When the cost is tripled,the new cost will be:
= $2 × 3
= $6
The total cost of weekday parking hours will be:
6(26 - x) + (10 × x) = 220
156 - 6x + 10x = 220
Collect like terms
4x = 220 - 156
4x = 64
x = 64/4
x = 16 hours.
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How do I solve 2x - 5 = 7?
Answer:
x=6
Step-by-step explanation:
Add five to both sides:2x-5+5=7+5
Simplify: 2x-5+5=7+5
2x=7+5
2x=12
Divide both side by the same factor: 2x/2=12/2
Simplify:x=12/2
divide 12 by 2 = 6
hope I helped you!!!
CAN SOMEONE PLEASE HELP!!! IM GONNA FAIL, ILL GIVE U BRAINLIST
What are the coordinates of F after a reflection over the line y=1? Give your answer in the format (#,#)
Answer:
So for the coorfinates of F, you have to see how far it is from y=1. The F is 2 points under the 1 so you have to count 2 above the 1. So the point would be (7,3). Same for the other ones. For example like D. It's 2 above 1 so its going to be 2 under which would result in (1, -1)
Use the long division method to find the result when 6x^3+17x^2+19x+28 is divided by 3x+7.
Answer:
2x^2 + x + 4
Step-by-step explanation:
Use Polynomial division.
The value after divide will be;
⇒ 2x² + x + 4
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ 6x³ + 17x² + 19x + 28 ÷ (3x + 7)
Now,
Since, The expression is,
⇒ 6x³ + 17x² + 19x + 28 ÷ (3x + 7)
Divide the expression as;
⇒ 3x + 7 ) 6x³ + 17x² + 19x + 28 ( 2x² + x + 4
6x³ + 14x²
- -
----------------------
3x² + 19x
3x² + 7x
- -
--------------------
12x + 28
12x + 28
- -
-------------------
0
Thus, The solution is,
⇒ 6x³ + 17x² + 19x + 28 ÷ (3x + 7) = (2x² + x + 4)
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Help with this it’s due today !
Answer:
Step-by-step explanation:
1. 7^12
2. 9^14
3. 1^0
4. 4^11
5. 1^5
6. 40^14
7. 2^9
8. 1^6
Define the slope of the slope-intercept line form y=mx+b in terms of A,B and C belonging to the standard form of the linear equation Ax+By=C.
The definition of slope-intercept form y=mx+b is given below.
What is a line explain?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. Collinear points are two points that are located on the same line.
What are the types of lines?In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.
In the given question:-
The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.
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The number of blueberry muffins Gary bakes each day is 30% of the total number of muffins he bakes. If he baked 24 blueberry muffins on Sunday, what is the total number of muffins baked?
Answer: The answer is 80
Step-by-step explanation:
Answer:
Gary baked 80 muffins on Sunday
Step-by-step explanation:
I can set up a proportion, knowing that 24/x = 3/10, where x is the total number of muffins baked on Sunday. By cross multiplying, I get 240 = 3x. By dividing both sides by 3, I find x = 80.
What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.
Answer:
x is equal to 3 and -0.25
Step-by-step explanation:
The answer can be found by factoring the equation and solving for zero:
\(8x^2 = 6 + 22x\\4x^2 = 3 + 11x\\4x^2 - 11x - 3 = 0\\4x^2 -12x + x - 3 = 0\\4x(x - 3) + (x - 3) = 0\\(4x + 1)(x - 3) = 0\)
So x is equal 3 and -0.25
Only answer if u are sure and make a good explanation
Answer: the third option
Step-by-step explanation: 0.66666666666 is it in decimal form, the line above the single six just means its the same number over and over again
Answer:
.67 (See explanation for why)
Step-by-step explanation:
2/3
in order to turn this into a whole number, we are going to multiply the bottom number until it becomes any number starting with 1 and ending with a zero. this isnt possible Because 3 is a number that cannot do that.
So instead, we will multiply the number by 333
2*333 = 666
3*333 = 999
666/999 = 2/3
999 is nearly 1000, so lets write the decimal point 3 spaces inwards
.666
which can become
.66
The longer decimal for this(when using a calculator)
would give you
.6666666667
And if we round,
7 is higher than 5, so it becomes .666666667
continue...
Until you have .67
Hope this helps! ^^
Which shows the equation below written in the from ax^2 + bx + c = 0? x + 9 = 2(x - 1) ^2
Answer:
i may be wrong but i thinks its A
Step-by-step explanation:
as the distance from the nucleus (bullseye) increases, what happens to the probability of finding an electron (marble)?
Answer:
the probability becomes less
Step-by-step explanation:
Is the equation 72 ÷ 6 = 64 ÷ 4 true or false? (2 points)
True
False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
72/6=12
64/4=16
Sarah is paid $20 an hour at her new job. She wishes to graph her total pay y, as a function of the
number of hours, x. She wants to be sure her graph shows her pay for 10 and 20 hours of work.
Answer:
see image; 200; 400
Step-by-step explanation:
y=20x
graph
(cosA+cosB)²+(sinA+sinB)²=4cos²(A-B/2)
what is the surface area of a cylinder in 9in,7in, and 5in ?
question 19in this list of numbers, what is the median? 97, 96, 95, 93, 93, 90, 87, 86, 84, 78, 75, 74, 70, 68, 65.9383.48680
The median of the given list of numbers is 87.
To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.
If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
First, let's arrange the numbers in ascending order:
65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680
There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.
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How can you prove the triangle sum theorem?
The sum of angle in a triangle is 180°
What is the sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.
The sum of angle A, B and C is 180 i.e A+B +C = 180°
Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180
How do we prove that the sum of angle in a triangle is 180°?
Since triangle is 3 sided, n= 3, because n denote the number if sides
therefore the sum of angle = (n-2) 180 = (3-2)×180
= 180°
therefore the sum of angle In a triangle is 180°
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