The hypothesis to be tested here is that the number of cars arriving for service is the same for each day of the week.
The null hypothesis, denoted as H0, is that the observed frequency distribution of cars is the same as the expected frequency distribution.
The alternative hypothesis, denoted as H1, is that the observed frequency distribution of cars is not the same as the expected frequency distribution.
To test this hypothesis, we use a goodness-of-fit test with the chi-square distribution. The critical value for a chi-square distribution with 6 - 1 = 5 degrees of freedom (one for each day of the week) and alpha level of 0.10 is 9.2363.
If the computed chi-square statistic is greater than 9.2363, then we reject the null hypothesis and conclude that the observed frequency distribution is significantly different from the expected frequency distribution.
Thus, if the computed chi-square statistic is greater than 9.2363, we can conclude that the number of cars arriving for service is not the same for each day of the week, and there is evidence to support the alternative hypothesis.
If the computed chi-square statistic is less than or equal to 9.2363, then we fail to reject the null hypothesis, and there is not enough evidence to suggest that the observed frequency distribution is different from the expected frequency distribution.
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Find the sum of the arithmetic sequence.
-10, -7, -4, -1, 2, 5, 8
Answer:
+3 every time or the total?
Or is it 18? U specify which
If you roll two dice, what is the probability of landing on the numbers 3 and 6?
Answer:
2/36 or 1/18
Step-by-step explanation:
rolling two dice produces 36 outcomes
rolling a 3 and a 6 is one outcome
rolling a 6 and a 3 is a second outcome
I need help
Solving this problem
The required value of x is 22 degrees for the given figure.
Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:
According to the given figure, it can be written as follows:
2x + 24 + 6x - 20 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Therefore, the required value of x is 22 degrees for the given figure.
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The complete question is as follows:
Find the value of x for the below figure.
Find the value of x. *
Please help
Answer:
x = 78
Step-by-step explanation:
(x-8) + 20 = 90
x - 8 = 90 - 20
x - 8 = 70
x = 70 + 8
x = 78
Check:
(78-8) + 20 = 90
70 + 20 = 90
In a machine, a particular gear completes a rotation in 6 seconds. Another gear completes a rotation in 9 seconds. At a certain instant, both gears complete their rotations at exactly the same time. How many seconds will elapse before the two gears complete their rotations at exactly the same time again?
Which of the following represents the additive inverse of h?
A. 1/h
B. - h
C. -1/h
D. - (- h)
Answer:
B. -h
Step-by-step explanation:
Additive inverses are two numbers that add to 0.
h + (-h) = 0
-h is the additive inverse of h since h and -h add to 0.
Answer: B. -h
Answer:
-h
Step-by-step explanation:
The additive inverse of a number simply means that same number, but with an opposite sign. For example:
Additive inverse of 9 = -9
Additive inverse of -2 = 2
Additive inverse of -(-6) = -6
Additive inverse of -(+4) = 4
Helpppp!! I don't understand this??????
At seven different restaurants, Rachel found that house salads cost an average of $3.80. If six of the restaurants priced house salads at $3.00, $3.45, $4.15, $4.60, $4.65, and $2.80, how much did a house salad cost at the other???????
Answer:
$3.77
Step-by-step explanation:
First, add all of the numbers together:
$3.00+$3.45+$4.15+$4.60+$4.65+$2.80=22.65
Next, divide that number by the number of numbers:
22.65/6=3.77
<3
What is the value of x? With coordinates of 45%, 4√2, x.
The value of x is 8. So correct is C.
Describe Triangles?In mathematics, a triangle is a geometric shape that consists of three line segments that intersect at three endpoints. These endpoints are called vertices, and the line segments are called sides.
Triangles are one of the most basic shapes in geometry and are used in many areas of mathematics, science, engineering, and everyday life. They can be classified based on the length of their sides and the measure of their angles.
Some common types of triangles include:
Equilateral triangle: A triangle in which all three sides are equal in length.
Isosceles triangle: A triangle in which two sides are equal in length.
Scalene triangle: A triangle in which all three sides have different lengths.
Right triangle: A triangle in which one angle measures 90 degrees (a right angle).
To find the value of x, we can use the trigonometric ratios of a right-angled triangle. Let's call the base of the triangle "b".
We know that the angle between the hypotenuse and the base is 45 degrees, which means that the other acute angle is also 45 degrees. Therefore, we can use the trigonometric ratio for the sine of 45 degrees to relate the hypotenuse and the perpendicular as follows:
sin(45 degrees) = opposite/hypotenuse
where the opposite side is the perpendicular, which is given as 4√2.
sin(45 degrees) = 4√2/x
Simplifying this equation gives:
x = 4√2 / sin(45 degrees)
We know that sin(45 degrees) = 1/√2, so substituting this value into the equation above gives:
x = 4√2 / (1/√2) = 4√2 * √2 = 8
Therefore, the value of x is 8.
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A population of values has a normal distribution with μ = 245.3 and σ = 96 . You intend to draw a random sample of size n = 50 . Find the probability that a single randomly selected value is greater than 246.7. P(X > 246.7) = 0.0146 Incorrect Find the probability that a sample of size n = 50 is randomly selected with a mean greater than 246.7. P(M > 246.7) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answer:
0.4589
Step-by-step explanation:
We solve using z score formula
The z score formula for a random number of samples is:
z = (x-μ)/σ/√n, where x is the raw score, μ is the population mean, and σ is the population standard deviation
Hence:
z = 246.7 - 245.3/96/√50
z = 0.10312
Probability value from Z-Table:
P(x<246.7) = 0.54107
P(x>246.7) = 1 - P(x<246.7) = 0.45893
Approximately to 4 decimal places = 0.4589
The probability that a single randomly selected value is greater than 246.7 is 0.4589
200 sheets of paper from a printing press were inspected for smeared ink. Of the 200 sheets of paper, 17 sheets contained smeared ink. Assuming a 99% two-sided confidence interval, what is the confidence interval of the proportion smeared
Thus, with 99% confidence, we can say that the proportion of smeared ink in the 200 sheets of paper inspected falls between 1.3% and 15.7%.
To calculate the confidence interval of the proportion smeared in 200 sheets of paper inspected for smeared ink, we can use the formula:
Confidence Interval = sample proportion ± (critical value) x (standard error)
The sample proportion is the number of sheets containing smeared ink divided by the total number of sheets inspected, which is 17/200 = 0.085.
The critical value for a 99% two-sided confidence interval with 200 observations can be found using a t-distribution table or calculator, and is approximately 2.576.
The standard error can be calculated as the square root of [(sample proportion) x (1 - sample proportion) / sample size], which is the square root of [(0.085) x (1 - 0.085) / 200] = 0.028.
Plugging in these values, we get:
Confidence Interval = 0.085 ± (2.576) x (0.028)
Confidence Interval = 0.085 ± 0.072
Confidence Interval = (0.013, 0.157)
Therefore, with 99% confidence, we can say that the proportion of smeared ink in the 200 sheets of paper inspected falls between 1.3% and 15.7%. This means that we are 99% confident that the true proportion of smeared ink in the population of printed sheets falls within this range.
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What is the mathematical expression for modified Reynolds Analogy, also known as Chilton-Colburn analogy?
The modified Reynolds analogy, also known as the Chilton-Colburn analogy, is expressed mathematically as Nu = f * Re^m * Pr^n. It relates the convective heat transfer coefficient (h) to the skin friction coefficient (Cf) in fluid flow. This equation is widely used in heat transfer analysis and design applications involving forced convection.
The modified Reynolds analogy is a useful tool in heat transfer analysis, especially for situations involving forced convection. It provides a correlation between the heat transfer and fluid flow characteristics. The Nusselt number (Nu) represents the ratio of convective heat transfer to conductive heat transfer, while the Reynolds number (Re) characterizes the flow regime. The Prandtl number (Pr) relates the momentum diffusivity to the thermal diffusivity of the fluid.
The equation incorporates the friction factor (f) to account for the energy dissipation due to fluid flow. The values of the constants m and n depend on the flow conditions and geometry, and they are determined experimentally or by empirical correlations. The modified Reynolds analogy is widely used in engineering calculations and design of heat exchangers, cooling systems, and other applications involving heat transfer in fluid flow.
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Caleb an investment banker sold his shares for $18,189.27 when there was a boom in the stock market. Calculate the amount he paid for the shares if his selling price was 130% of the amount he paid for the shares.
Therefore, Caleb paid approximately $14,067.90 for the shares.
Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.
Selling price = 130% of the amount paid
$18,189.27 = 1.3 * x
To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:
x = $18,189.27 / 1.3
Calculating this, we find:
x ≈ $14,067.90
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has four congruent sides, exactly two pairs of congruent opposite angles, and its diagonals are perpendicular. it is called by ___
On solving the provided question, we can say that from given information that - rhombus has four congruent sides, exactly two pairs of congruent opposite angles, and its diagonals are perpendicular
what is rhombus?Rhombuses are quadrilaterals with all four sides being equal in Euclidean plane geometry. Equilateral triangles are rectangles with equal-length sides, also known as equilateral quadrilaterals. By definition, a square is also a rhombus as a rhombus is a quadrilateral with four congruent sides. Greek word rhómbos, which meaning "spinning top," is the source of the English term "rhombus." Its meaning is "bull form," as in the animal's shape. This results in a loud noise and the object attached to the string spinning.
Only two quadrilaterals—the square and rhombus—have four congruent sides among all quadrilaterals. At this point, the square has only right angles, but the rhombus has one opposing pair of obtuse angles. Rhombus is the solution, thus.
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4. There are major chords built on what three notes (with all white notes and no accidentals)? O CFG O ABC GEB OCDE
The three major chords built on white notes without accidentals are:
1. C major chord (C, E, G)
2. F major chord (F, A, C)
3. G major chord (G, B, D)
These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.
Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.
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Hey, I need help what is 12+3s+9s+2=?
Answer:
Below
Step-by-step explanation:
12 + 3s + 9s + 2 =
(3s+9s) + (12+2) =
12s + 14 ( or 2 (6s+7) )
Does anyone know how to solve these types of triangles?
Answer:
x= 101
Step-by-step explanation:
Exterior angle of triangle states that the exterior angle of a triangle is the sum of the 2 opposite interior angles. This is abbreviated as 'ext. ∠ of ∆'. Thus using the exterior angle theorem,
x°= 64° +37° (ext. ∠ of ∆)
x°= 101°
x= 101
_____
Alternative method:
Let the third angle in the triangle be y°.
Since the sum of the angles in a triangle is 180°,
y° +64° +37°= 180° (∠ sum of ∆)
Simplify:
y° +101°= 180°
y°= 180° -101°
y°= 79°
The sum of the angles on a straight line is 180°.
x° +y°= 180° (adj. ∠s on a str. line)
Substitute y°= 79°:
x° +79°= 180°
x°= 180° -79°
x°= 101°
x= 101
I have to pick one answer for each!!
Answer:
False, False, True, True
Step-by-step explanation:
9 > 9 is false, they are equal to each other.
-12 > or equal to -6 is false, -6 is greater than -12 and they are certainly not equals.
3^2 < or equal to 5^2 is true, 3^2 is 9, 5^2 is 25, therefore, 5^2 is greater than 3^2.
(-3)^2 < or equal to 3^2 is true. (-3)^2 = 9 and 3^2 =9.
I hope this helps!
Answer:
false false true true
Step-by-step explanation:
helpp ill give brainlist
Step-by-step explanation:
\(6 {x}^{2} - 5x + 2 - 2 {x}^{4} + 3 {x}^{2} - 2= \\ = - 2 {x}^{4} + 9 {x}^{2} - 5x \)
Answer:
c. g-f(x) -2x⁴+9x²-5x
Step-by-step explanation:
that is the best answer
Kami's front door is 3' wide and 7' tall. She purchased a circular table that is 8' in diameter. Will the table fit
through the front door?
Answer: No.
Step-by-step explanation: if the door is 3 feet wide and the table is 8 feet wide (diameter is like width of the circle across), no matter how you put it, that table will not fit.
Answer:
no
Step-by-step explanation:
there's no way she could fit the table through her door, even by turning it to the side.
In a classroom of 50 students 30 brought apples to school while 14 brought oranges to school. If 18 students brought niether fruit to school, how many brought both apples and oranges to school?
Step-by-step explanation:
Hope it helps man ..... ..
Using the equation is shown, which is the best estimate of x?
x²=315
Answer:
Step-by-step explanation:
To estimate the value of x, we can take the square root of both sides of the equation. The square root of 315 is approximately 17.75. So, the best estimate of x is 17.75.
someone help me with this
The gallons of gas that Aubrey would need to travel 111.54 miles is 7.8 gallons.
What is a direct proportion?In Mathematics, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.
By applying direct proportion to the given information, we have the following mathematical equation:
15 gallons of gasoline = 214.5 miles
X gallons of gasoline = 111.54 miles
By cross-multiplying, we have the following:
214.5x = 15 × 111.54
x = 1,673.1/214.5
x = 7.8 gallons of gasoline.
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Private nonprofit four-year colleges charge, on average, $27,557 per year in tuition and fees. The standard deviation is $6,707. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - N ( , )
b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 32,293 per year.
c. Find the 65th percentile for this distribution. $...(Round to the nearest dollar.)
Answer:
a. The distribution of X will be X ~ N (27557, 6707^2). This means that X follows a normal distribution with a mean (μ) of $27,557 and a variance (σ^2) of $44,903,649 (which is the square of the standard deviation $6,707).
b. To find the probability that a randomly selected Private nonprofit four-year college will cost less than $32,293 per year, we first need to find the z-score for $32,293. The z-score is calculated using the formula:
Z = (X - μ) / σ
So, for X = $32,293, the z-score will be:
Z = (32293 - 27557) / 6707 ≈ 0.7070
Next, we refer to the standard normal distribution table (Z-table) or use statistical software to find the probability associated with this z-score. The probability for Z=0.7070 is approximately 0.7599. So, the probability that a randomly selected Private nonprofit four-year college will cost less than $32,293 per year is approximately 0.7599, or 75.99%.
c. The 65th percentile is the value below which 65% of the data falls. In a standard normal distribution, this is the z-score associated with the cumulative probability of 0.65. Using a standard normal distribution table or statistical software, we find that the z-score for the 65th percentile is approximately 0.3853.
Next, we use the formula for the z-score to find the corresponding X value:
X = Z*σ + μ
Plugging in the values:
X = 0.3853 * 6707 + 27557 ≈ $28,147
So, the 65th percentile for this distribution is approximately $28,147. This is rounded to the nearest dollar.
What will increase the width of a confidence interval?
Answer:
The width increases as the confidence level increases (0.5 towards 0.99999 - stronger).
Step-by-step explanation:
The top of square table has an area of 24 square feet. What is the length of 1 edge of the tabletop?
The length of one edge of the tabletop is 4.89 feet.
We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.
The area of square table is given by the formula -
Area of square table = side²
We will keep the value of area of square table to find the value of side which will be length of edge
24 = side²
Side = ✓24
Taking square root for the value on right side of the equation
Side = 4.89
Hence, the length of one edge of the tabletop is 4.89 feet.
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A standard deck of playing cards contains 52 cards, equally divided among four suits(hearts, diamonds, clubs, and spades). Each suit has the cards 2 through 10, as well as a jack, a queen, a kind, and an ace.
If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a kind?
A) \(\frac{1}{17}\)
B) \(\frac{16}{51}\)
C) \(\frac{4}{17}\)
D) \(\frac{5}{17}\)
Answer:
4/17
Step-by-step explanation:
Pleaseeee Help!! Ill mark brainliest!!
Answer: Step 2 : Additive
Step 4 : Multiplicative
Step-by-step explanation:
Also, if you could hook me up into Passione, that'd be cool
I forgot how to do this lol
if you want brainliest give me the correct answer please
solve for x
\(\frac{7}{x+4}\) = 4
Give your answer as an improper fraction in its simplest form.
Answer:
-9/4 = x
Step-by-step explanation:
4 is the same as 4/1
this problem is a proportion which can be solved by cross-multiplying:
7 = 4(x+4)
7 = 4x + 16
-9 = 4x
-9/4 = x