Would really appreciate help on this statistics problem, 20 points :)
Answer:
Step-by-step explanation:jed
is y=x-3 a function or an equation
1.The time taken to complete a motorcycle race is normally distributed, with an average time (µ) of 2.5 hours and a standard deviation (sigma) of 0.5 hours.
What is the probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race?
Using the normal distribution, there is a 0.0781 = 7.81% probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
\(\mu = 2.5, \sigma = 0.5\).
The probability that a randomly selected cyclist will take between 2.35 and 2.45 hours is the p-value of Z when X = 2.45 subtracted by the p-value of Z when X = 2.35, hence:
X = 2.45:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2.45 - 2.5}{0.5}\)
Z = -0.1
Z = -0.1 has a p-value of 0.4602.
X = 2.35:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2.35 - 2.5}{0.5}\)
Z = -0.3
Z = -0.3 has a p-value of 0.3821.
0.4602 - 0.3821 = 0.0781.
0.0781 = 7.81% probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race.
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Suppose that 14 inches of wire costs 84 cents. At the same rate, how many inches of wire can be bought for 42 cents
Help meeeeeeeeeeeeeeeeeeee
Answer:
I believe it is y=1x or y=x
Answer:
14
Step-by-step explanation:
The constant of proportionality is the y number when x is 1. Look on the bottom of the graph. Find 1, so up to the line and then across left to the y axis. you will be at 14. This means that every time the x increases by 1, the increases by 14
Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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In the diagram a || b. Use the diagram to answer the question. Name the alternate interior angle to <2
The angle 7 is the alternative interior angle to angle 2.
Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.
They are the angles that are on opposite sides of the transversal and inside the two parallel lines.
Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.
We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.
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hello I have been working on this question for a long time hopefully you can help me and this a trigonometry question but look at the bottom of the question because if it is in decimal it won't accept the answer as a heads up
To find the arc length, we have to use the following formula:
\(\text{arc length = circumference x fraction of circle}\)In this case, we have that r = 6, so:
\(\begin{gathered} l\text{ = 2}\pi r\cdot\text{ }\frac{265}{360} \\ \Rightarrow l\text{ = 2}\pi(6)\cdot\text{ }\frac{265}{360} \\ \Rightarrow l\text{ = }\frac{12\cdot265}{360}\pi\text{ = }\frac{265}{30}\pi \end{gathered}\)Therefore, the arc length is 265/30 pi mm
Write 2211 three in expanded form and then convert it to base ten.
The final answer for 2211₃ to convert into base 10 is 76₁₀.
Given 2211₃
Expand the number as below
2211₃ = 2 * 3³ + 2 * 3² + 1 * 3¹ + 1 * 3⁰
To convert base 3 to base 10 we need to expand form numbers as
2211₃ = 2 * 3³ + 2 * 3² + 1 * 3¹ + 1 * 3⁰
= 2 * 27 + 2 * 9 + 1 * 3 + 1 * 1
= 54 + 18 + 9 + 1
= 76₁₀
Therefore, the Correct answer for 2211₃ to convert into base 10 is 76₁₀
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Simplify the expression. - 20 + 7
ANSWER
-13
EXPLANATION
We want to simplify:
-20 + 7
We can rearrange that as:
7 - 20
When a number is subtracting a number that is greater than it, the answer is the same vaue as the greater number subtracting the smaller but with a minus sign.
That is:
7 - 20
= -13
That is the answer.
2. In the formula I = P x r x t, what does r stand for? a. Rate: the percent that interest is paid annually as a decimal b. Ratio: the size of the interest interval compared to time c. Return: how much money you end up earning d. Reserves: how much money you have in the investment
Answer:
I will answer this soon I don't remember
Answer:
A. Rate: the percent that interest is paid annually as a decimal
Step-by-step explanation:
Edge 2022 got the answer right :)
9/5 equal blank divided by blank
Answer:
9/5 = 1/5 divided by 1/9
Step-by-step explanation:
1/5 x 9/1 = 9/5
9
It costs only $0.25 per hour to play at Cybernet Cafe, but
there is a one-time membership fee of $25.00. Which
equation could you use to find the total cost D, in dollars,
of playing for n number of hours?
A D = 25n + 2500
BD = 0.25n + 25
с
D
n = + 25
0.25
On = 0.250D + 25)
What is the equation of the line that
contains (2, 3) and has an undefined slope?
Answer:
George C. x=2 is the equation of the line through (2,3) with undefined slope.
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
A line with an undefined slope is a vertical line parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (2, 3 ) with x- coordinate 2 , then
x = 2 ← is the equation of the line
Which expression uses the GCF and the Distributive Property to create an equivalent expression to
12 + 24?
A
4 ( 3 + 6)
B
6 ( 2 + 4)
C
2 ( 6 + 12)
D
12 ( 1 + 2)
Answer:
D
Step-by-step explanation:
The greatest common factor of 12 and 24 is 12. The only option which accounts for this is D.
solve for x in the equation x2+6x-6=10
Answer:
Step-by-step explanation:
\(x^{2} + 6x-6= 10\\x^{2} +6x-16=0\\x^{2} -2x+8x-16=0\\x(x-2)+8(x-2)=0\\(x-2)(x+8)=0\\x = 2\\or\\x = -8\)
Answer:
X = 2 and X = -8
Step-by-step explanation:
X2 + 6X - 6-10 = 0 ....... when +10 pass the equality sign it will become -10
X2 + 6X -16 =0
here we need to find if there are two numbers there sum is +6 and there product is -16.
here we need to find if there are two numbers there sum is +6 and there product is -16.The two numbers are -2 and +8
-2+8= +6
-2*8= -16
( X - 2 ) * ( X + 8 ) =0
X - 2 = 0 ...... when -2 pass equality sign it will become+2
X = 2
X + 8 =0 ..... when +8 pass equality sign it will become -8
X = -8
Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.
Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.
To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.
Which figures could Brian be constructing?
equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
Brian is constructing figures inscribed in circle C.
Equilateral triangle MNQ inscribed in circle C:
This option is possible since the points M, N, and Q are labeled and they lie on circle C.
Equilateral triangle ANP inscribed in circle C:
This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.
Regular hexagon AMNBPQ inscribed in circle C:
This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.
Square MNPQ inscribed in circle C:
This option is not possible based on the given information. The label points do not form a square.
Square ANBQ inscribed in circle C:
This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
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4. Find the value of x in the equation x+5=x+45
Answer: No solution
Step-by-step explanation:
Subtracting x from both sides, we get 5=45, which is false.
6. A company car purchased for $39,600 depreciates at 12% per annum. What is the car
worth after 3 years?
Answer:
$26,986.29
Step-by-step explanation:
We can use the formula for calculating the depreciation of an asset over time:
wor
\(\bold{D = P(1 - \frac{r}{100} )^t}\)
where:
D= the current value of the asset
P = the initial purchase price of the asset
r = the annual depreciation rate as a decimal
t = the number of years the asset has been in use
In this case, we have:
P = $39,600
r = 12% = 0.12
t = 3 years
Substituting these values into the formula, we get:
\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)
Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.
Answer:
$26,986.29
Step-by-step explanation:
As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.
Exponential Decay formula\(\boxed{f(t)=a(1-r)^t}\)
where:
f(t) is the value of the car (in dollars) after t years.a is the initial value of the car.r is the depreciation rate (as a decimal).t is the time period (number of years after purchase).In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:
\(f(t)=39600(1-0.12)^t\)
\(f(t)=39600(0.88)^t\)
To calculate the value of the car after 3 years, substitute t = 3 into the function:
\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)
Therefore, the car is worth $26,986.29 after 3 years.
Sam has a deck that is shaped like a triangle with a base of 18 feet and a height of 7 feet. He plans to build a 2:5 scaled version of the deck next to his horse's water trough.
Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)
Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)
Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)
The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;
Part A; Base length of the new deck = 7.2 feet
Height of the new deck = 2.8 feet
Part B; The area of the original deck is 63 square feet
The area of the new deck is 10.08 square feet
Part C; The ratio of the areas is the square of the scale factor
What is a scale factor?A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.
The base length of the triangular deck = 18 feet
The height of the triangular deck = 7 feet
The scale factor for the scaled version Sam intends to build = 2 : 5
Part A; The dimensions of the new deck are;
Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet
The height of the new deck = (2/5) × 7 = 2.8 feet
Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet
Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet
Part C; The ratio of the areas is; 10.08/63
Ratio of the area = 10.08/63 = 4/25 = 4 : 25
The scale factor is; 2 : 5
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On August 20, 1989, in Cologne, West Germany, Said Aouita of Morocco also established a world record when he ran the 3000. m run in 7 minutes, 29.45 seconds. What was his average speed (in m/s) for the race? Remember to include your data, equation, and work when solving problem
PLS HURRY I HAVE TO TURN THUS IN!!!!!
Answer:
Average speed of Aouita = 6.68 meter per second.
Step-by-step explanation:
To create a world record Aouita ran a distance = 3000 m
He took the time to cover this distance = 7 minutes 29.45 seconds
= (7×60) + 29.45 seconds
= 449.45 seconds
Since, formula for the average speed is given by,
Average speed = \(\frac{\text{Total distance covered}}{\text{Total time taken}}\)
Therefor, average speed of Aouita = \(\frac{3000}{449.45}\)
= 6.675
≈ 6.68 meter per second
Average speed of Aouita was 6.68 meter per second.
Answer:
6.67 m/s
Step-by-step explanation:
7 * 60 = 420
420 + 29.45 = 449.45
V = 3000. / 449.45= 6.67 m/s
The teacher is handing out note cards to her students. She gave 84 note cards to the first
student, 76 note cards to the second student, 68 note cards to the third student, and 60 note
cards to the fourth student. What kind of sequence is this?
arithmetic
geometric
both
neither
Answer: Arithmetic
Step-by-step explanation: Because its decreasing at a constant rate of the same number 8
How effective is it to go to your manager to request others take on some activities?
The effectiveness depends on your score of working.
How effective is it to go to your manager to request others take on some activities?
Certainty implies, indeed, that favorable things will happen and uncertainty implies favorable things won't happen.
If we go to our manager, requesting that others should take some activities. It certainly depends upon the our score in the office. if we are hard working than in situations manager could approve our request and if our score is low or we are not a hard worker than result may no be in our favor.
Thus, the effectiveness depends on your score of working.
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El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos
El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.
Por otro lado, el número "cuarenta mil dos" se representa como 40,002.
Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.
Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.
Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.
En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.
Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.
Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.
En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.
Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).
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:( please help me with my geometry i cant fail this class or i’ll have to move out of my parents house
1. In the first figure, there is a right-angle triangle,
The base of the triangle is 7.4 units,
And the hypotenuse of the triangle is 4.6 + the radius of the circle, which is also 7.4 as per the given graph.
So the hypotenuse = 4.6 + 7.4 = 12 units
From the Pythagorean theorem,
Hypotenuse² = base² + height²
12² = 7.4²+height²
height² = 144 -54.76
Height = 9.44
Therefore, the value of x is 9.44 units.
2. Since parameter is sum of all sides of a polygon,
the given sides of the triangle are,
52, 7x+4, and 13x-5
Thus, the parameter will be = 20x+51,
For the value of x,
7x-4 = 13x+20
x = 6
So, the parameter will be 120+51 = 171
3. From the chord bisector formula,
s = (170+50)/2
s = 110 degrees
4. Since, m(VYX) and ∠UVX makes the complete angle of the circle.
So,
290 + 4x-5 = 360
4x-5 = 70
x = 75/4
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Compare -3.5 and -10/3 using symbols <, >, or =.
A. -3.5 < -10/3
B. -3.5 > -10/3
C. -10/3 = -3.5
D. -10/3 < -3.5
Answer:
\(\sf A. \quad -3.5 < -\dfrac{10}{3}\)
Step-by-step explanation:
Convert -3.5 into a fraction:
\(\implies \sf -3.5=-\dfrac{35}{10}=-\dfrac{\diagup\!\!\!\!5 \times 7}{\diagup\!\!\!\!5 \times 2}=-\dfrac{7}{2}\)
Rewrite both fractions so that they have the same denominator:
\(\implies \sf -\dfrac{7}{2}=-\dfrac{7 \times 3}{2 \times 3}=-\dfrac{21}{6}\)
\(\implies \sf -\dfrac{10}{3}=-\dfrac{10 \times 2}{3 \times 2}=-\dfrac{20}{6}\)
\(\textsf{As }\: -\dfrac{21}{6} < -\dfrac{20}{6} \textsf{ then}:\)
\(\sf \implies -3.5 < -\dfrac{10}{3}\)
of all the 100 items i buy today, id like 8% of them to be cupcakes. How many cupcakes is that
Answer:8
Step-by-step explanation:
100*0.08
you would buy 8 cupcakes
Find the area of a quarter of a
circle (radius = 6)
9514 1404 393
Answer:
9π ≈ 28.27 square units
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr² . . . . . radius r
For a radius of 6 units, the area is ...
A = π·6² = 36π . . . . . square units
The area of a quarter-circle is 1/4 of this:
quarter-circle area = (1/4)(36π) = 9π ≈ 28.27 . . . square units
Which shows the list of numbers in order from least to greatest?
Which expression is equal to StartAbsoluteValue negative 12 EndAbsoluteValue minus StartAbsoluteValue Negative 3 EndAbsoluteValue?
–15
–9
9
Answer:
-9 -15 9 i think
Step-by-step explanation:
Answer:
-15,-9,9
Step-by-step explanation:
Ordering that from least to greatest would be -15,-9,9 but unfortunetly i cant answer the second half. Hope this helps :).
Anthony and his family went out to dinner last night. When the bill came, Anthony's mom figured out how much to tip their waiter. For a dinner bill of d dollars, she tips 0.20d dollars. The bill for the family's dinner was $56. How much did Anthony's family tip the waiter?
If for every amount of $d , $0.20d is tipped, then for amount of $56, $11.6 will be tipped to the waiter
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
If for every $d , $0.20d is tipped, then this means that the total amount spent is $56 and the amount Anthony's family tip the waiter is calculated as:
0.2 × 56
= $11.6
Therefore the waiter was tipped $11.6
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Answer:
A dinner bill of d dollars calls for a tip of 0.20d dollars. You want to find how much the family tipped the waiter for a bill of d=$56.
Evaluate the expression 0.20d for d=56.
0.20d
=
0.20(56)
=
11.2
The family tipped the waiter $11.20.