The confidence interval comes out to be (0.685,0.735).
Calculating the Confidence Level and Other Terms
The confidence level can be calculated as follows,
z = [tex]\frac{36}{40} * 100%[/tex]%
z = 90 %
The margin error is given as, E= 0.025
The p value in this case is 0.71
Calculating the Confidence Interval
The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.
Confidence interval can be obtained by using the following formula,
(p-E, p+E) = (0.71-0.025, 0.71+0.025).
Therefore, the confidence interval is (0.685, 0.735).
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9x-1=1/2(15x-47) I need help
Answer:
The answer is x= -15
Pls help I don’t get it
Answer:
x=-5, y=-2
Step-by-step explanation:
10x-9y=-32
2x-10y=10
(2x-10y)*5=10*5
10x-50y=50
(10x-9y)-(10x-50y)=-32-50
41y=-82
y=-82/2
y=-2
10x-9(-2)=-32
10x+18=-32
10x=-50
x=-5
Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic?
$
per comic?
What is the constant of proportionality?
Answer: Its A and A
Step-by-step explanation: I did the question
confused someone explain please!
Answer:
[-7, + ∞) is domain
Step-by-step explanation:
Domain is all of the 'x' values a function has
this one goes from -7 to + inf
Sin^2x=1+cosx write your answer in radians in terms of pi. if there is more than one solution, separate them with commas.
The solution of the equation is union of x = a(π/2) where a = 1,2,3......∞ and x = n(π) where n = 1,3,5,7.......∞.
What is a function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable.
sin²x = cosx + 1
1 - cos²x = cosx + 1
cos²x + cosx = 0
cosx(cosx + 1) = 0
When cosx = 0
x = a(π/2) where a = 1,2,3......∞
When cosx = -1
x = n(π) where n = 1,3,5,7.......∞
Hence the solution of the equation will be the union of x = a(π/2) where a = 1,2,3......∞ and x = n(π) where n = 1,3,5,7.......∞.
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How to create a linear regression equation
Answer:
The equation has the form Y= a + bX, where Y is the dependent variable (that's the variable that goes on the Y axis), X is the independent variable (i.e. it is plotted on the X axis), b is the slope of the line and a is the y-intercept.
Step-by-step explanation:
for more information check the above attachment
Find a in degrees.
a
6
√11
5
[?]°
Round to the nearest hundredth.
Answer: [tex]33.56^{\circ}[/tex]
Step-by-step explanation:
[tex]\sin \alpha=\frac{\sqrt{11}}{6}}\\\\\alpha=\sin^{-1} \left(\frac{\sqrt{11}}{6}} \right)\\\\\alpha \approx 33.56^{\circ}[/tex]
Answer:
33.56
Step-by-step explanation:
Emiliano necesita cortar dos cuerdas,una de 18m y la otra de 12 m en trozos iguales,,de manera que estos sean los mas grandes posibles ¿Cuanto debe medir cada trozo y cuantos sacara de cada cuerda?
Por descomposición factorial y el concepto de máximo común divisor, se tiene que cada trozo de cuerda debe medir 6 metros y que se debe preparar cinco trozos.
¿Cómo cortar cuerdas en segmentos de máxima e igual longitud?
En este problema debemos determinar la cantidad de segmentos de cuerda de igual y máxima longitud, la cual puede ser hallado por descomposición factorial a los números asociados a las longitudes:
18 = 2 × 3²
12 = 2² × 3
La máxima longitud posible se obtiene mediante el máximo común divisor, es decir, se encuentra que la máxima longitud es 2 × 3 = 6 metros. Por último, la cantidad de trozos iguales es:
x = (18 m + 12 m)/6 m
x = 30 m/6 m
x = 5
Por descomposición factorial y el concepto de máximo común divisor, se tiene que cada trozo de cuerda debe medir 6 metros y que se debe preparar cinco trozos.
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What is the product?
6(x^2-1) 6x-1/6(x+1)
Q6: A, Árbol
Q7: D, nube
Q8: C, Viento
Q9: B,
Q10: D, Cielo
Q11: D, Hablarian
Drag each expression to the correct location in the equation. Not all expressions will be used.
Determine the two rational expressions whose difference completes this equation.
x² + x + 6
x(x-6)(x + 6)
The two rational expressions will be; (x + 2)/(x² - 36) and 1/(x² + 6x)
How to simplify Quadratic Expressions?We want to determine the two rational expressions whose difference completes the equation.
The two rational expressions will be;
(x + 2)/(x² - 36) and 1/(x² + 6x)
Now, this can be proved as follows;
Step 2 [(x + 2)/(x² - 36)] - [1/(x² + 6)]
= [(x + 2)/(x + 6)(x - 6)] - [1/(x(x + 6)]
Step 3; By subtracting, we have;
[x(x + 2) - (x - 6)]/[x(x + 6)(x - 6)]
Step 4; By further simplification of step 3, we have;
[x² + x + 6]/[x(x-6)(x + 6)]
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in one hour, the human body processes about 11.5% of the caffeine in the blood. if your teacher drank a cup of coffee with 175 mg of caffeine 3 hours ago, how much caffeine remains in her blood
121.3 grams of caffeine is remaining in her blood
How to determine the amount of caffeine?The given parameters are:
Initial, a = 175 mgRate, r = 11.5%Time, t = 3 hoursThe amount of caffeine is calculated as:
A(t) = a(1 - r)^t
This gives
A(t) = 175 * (1 - 11.5%)^t
At 3 hours, we have:
A(3) = 175 * (1 - 11.5%)^3
Evaluate
A(3) = 121.3
Hence, 121.3 grams of caffeine is remaining in her blood
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An extraneous solution IS a(n)
Answer:
See below
Step-by-step explanation:
An invalid solution.
When you use the quadratic formula, for example, to solve for 't', time, you will often find one of the values of 't' to be NEGATIVE value for time.....this would be an extraneous solution.
Sometimes when working with LOG equations you may fin an answer which is negative.....you cannot have a LOG of a negative number...THAT solution would be EXTRANEOUS
ETC
SO, always check your answers to see if they 'work' for your problem.
Convert from Decimal Notation to Scientific Notation
In the following exercises, write each number in scientific notation.
551. 340,000
Answer:
Hence, 3,40,000 can be expressed as [tex]$$3.4\times10^5$$[/tex]
Step-by-step explanation:
Step 1 of 1
Consider 3,40,000
3.4
So, 3.4 lies between 1 & 10
Now, Decimal has moved 5 places to left.
[tex]$3.4=10^{5}$[/tex]
So, 3,40,000=[tex]3.4 \times 10^{5}$[/tex]
The following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side:
The statement and reason that complete the flowchart proof are:
1. ∠BDE ≅ ∠BAC
2. Corresponding angles postulate.
What are the Corresponding Angles Postulate?The corresponding angles postulate states that two angles that correspond to each other are congruent angles.
In the given flowchart proof, ∠BDE and ∠BAC are corresponding angles, So, they are congruent by the corresponding angles postulate.
Therefore, the missing statement and reason are:
1. ∠BDE ≅ ∠BAC
2. Corresponding angles postulate.
The remaining part of the question is
"In ΔABC shown below, BD over BA equals BE over BC:
Triangle ABC with segment DE intersecting sides AB and BC respectively.
Top path, by Given the ratio of line segments BD to BA is equal to the ratio of line segments BE to BC. By Side Angle Side.
Which reason can be used to fill in the numbered blank space?"
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If T -1 (x, y) (½x, y - 5), then T(x, y) ( x, y + 5) (2 x, y + 5) ( x - ½, y + 5)
The coordinates of the function will be T (x , y ) = (2 x, y + 5) ; Option B is the answer.
What is a Function ?A function is a mathematical statement that relates an independent and a dependent variable .
An inverse of a function is given
T⁻¹ (x, y) : (½x, y - 5)
T(x, y) : ?
As the inverse in given , to find the function , the reverse of all the transformation has to be done .
The x coordinate has been halved , so the original function will be double.
The y coordinate has 5 subtracted to it , so it will be added to the coordinate.
So the coordinates of the function will be
T (x , y ) = (2 x, y + 5)
Therefore Option B is the answer.
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Answer:
B. y = x + 2; y = 5
Step-by-step explanation:
100% on edge 2022!
Nolan begins to find the mean absolute deviation of a data set. he finds the mean of the data and then finds the distance between each data point and the mean.what should he do next?
The next step Nolan should take is to find the average of the distances from the mean.
What is meant by mean absolute deviation?A measure of variance in a data set is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.
The steps to find mean absolute deviation are:
Calculate the mean of the data setCalculate the value of distance between the mean and each point in the data set.Find the average of the distances from the mean.Hence, The next step Nolan should take is to find the average of the distances from the mean.
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which choice is equivalent to the quotient below when -2<=x<2
square root of 4-x^2 divided by square root of 2-x
The choice which is equivalent to; √(4-x²)/√(2-x) is; √(2-x).
Which choice is equivalent to the quotient?According to the task content, it follows that the expression whose equivalent is to be determined can be evaluated as follows;
√(4-x²)/√(2-x) = √(4-x²)/(2-x)
Hence, the numerator can be evaluated by difference of two squares where;
(4-x²) = (2-x)(2+x)
Hence; we have; √(2-x)(2+x)/(2-x) = √(2-x).
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Answer:
sqrt 2+x
Step-by-step explanation:
HELP ME PLEAS ON PLATO I WANT TO FINISH SUMMER SCHOOL PLEASE ITS A LIVING HELL
The parabolas with respect to their positions are y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)
How to arrange the parabolas?The parent function is given as:
f(x) = x^2
The parabolas are given as:
y = f(x - 4), y = f(x + 3), y = f(x - 7), y = f(x + 2) and f = (x - 1/2)
The transformation from the parent function to each of the parabola is a horizontal translation.
This means that the y coordinate of their vertices are the same.
Arrange the parabolas starting from the left translations
y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)
Hence, the parabolas with respect to their positions are y = f(x + 3), y = f(x + 2), y = f(x - 1/2), y = f(x - 4) and f = (x - 7)
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the wacky widget company can make 120 of their wackiest widgets in 90 minutes. How many hours will it take them to complete a special order of 450 wackiest widgets?
The number of hours it would take to make 450 wackiest widgets is 4 hours 30 minutes.
How many hours would it take to make 450 widgets?The first step is to determine how many minutes it would take to make 1 widget.
Minutes it would take to make 1 widget ; 90 / 120 = 3 / 4 minutes
Number of minutes it would take to make 450 widgets: 3/4 x 450 = 270 minutes
Now convert minutes to hours : 270 / 60 = 4 hours 30 minutes
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Which student solved the equation StartFraction w Over 13.5 EndFraction = 9.7 correctly?
The value of the w is 130.95
We have given that,
[tex]\frac{w}{13.5}=9.7[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}13.5[/tex]
What is the expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
[tex]\frac{13.5w}{13.5}=9.7\cdot \:13.5[/tex]
[tex]w=130.95[/tex]
Therefore the value of the w is 130.95.
The questions seem incomplete the complete question is
Which student solved the equation StartFraction w Over 13.5 EndFraction = 9.7 correctly? Kwan's work. StartFraction w Over 13.5 EndFraction = 9.7. 9.7 times 13.5 = 130.95. Amala's work. StartFraction w Over 13.5 EndFraction = 9.7. 13.5 minus 9.7 = 3.8. Sid's work. StartFraction w Over 13.5 EndFraction = 9.7. 13.5 + 9.7 = 23.2. Joaquin's work. StartFraction w Over 13.5 EndFraction = 9.7. 9.7 divided by 13.5 = 0.72. Mark this and return.
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Answer:A
Step-by-step explanation: i dont kno you tell me
find the area of the following shape
Answer:
74.8 cm^2
Step-by-step explanation:
The figure is a parallelogram with base of 11cm and height of 6.8cm . To find the area, we multiply the base by the height to get 11 × 6.8 = 74.8 cm^2
Solve the system and enter the smallest x-coordinate first
The following graph shows a proportional relationship.
What is the constant of proportionality between yyy and xxx in the graph?
The constant of proportionality of the given graph is gotten as 4.
How to find the constant of proportionality?The constant of proportionality here is simply the slope of the graph.
Now, we will take two points and use their coordinates to find the slope from the formula;
m = (y2 - y1)/(x2 - x1)
Let us pick 2 points which are;
(1, 4) and (2, 8). Thus;
m = (8 - 4)/(2 - 1)
m = 4/1
m = 4
Thus, the constant of proportionality of the graph is gotten as 4.
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Please help! How can this set be expressed using inequalities?
The set is expressed using inequalities; [tex]0 < x\leq 3[/tex], option D is correct.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.
The set be expressed using inequalities are;
[tex]0 < x\leq 3[/tex].
Thus, option D is correct.
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Find the radius of a sphere having a volume of 1000000 cm³
Answer:
radius is 62.04
Step-by-step explanation:
use the formula V=
[tex] v= \frac{4}{3} \pi {r}^{3} [/tex]
A radio tower, 27 m tall, is supported by two guy wires, each on opposite sides.. The angles of elevation to the top of the radio tower are 13° and 21°. To the nearest tenth of a metre, how far apart are the guy wires? Select one: a. 16.6 m b. 196.4 m c. 46.6 m d. 187.3 m
The distance apart of the two guy wire is 187.7 metres
How to find the distance apart of the two wires?The distance apart of the two wires can be found using trigonometric ratios.
Therefore,
tan ∅ = opposite / adjacent
Therefore,
tan 13 = 27 / x
x = 27 / tan 13 = 27 / 0.23086819112 = 117.391304348
tan 21 = 27 / y
y = 27 / tan 21
y = 70.338144115
Therefore,
distance apart of the guy wire = 117.391304348 + 70.338144115 = 187.728144115 = 187.7 metres
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Given the parent graph
f(x) = 4^x
explain all transformations to the parent
graph given the new functions
f(x) =-1/3 • 4x
Using translation concepts, it is found that the new function was reflected over the x-axis and vertically compressed by a factor of 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The functions are given as follows:
Parent: [tex]f(x) = 4^x[/tex].Translated: [tex]f(x) = -\frac{1}{3} \times 4^x[/tex].The translated function was multiplied by -1/3, hence it was reflected over the x-axis(multiplication by negative number) and vertically compressed by a factor of 3(fraction of 1/3).
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Find the quotient:
27y4 + 36y
——————
-9y
Answer: [tex]-3y^3 -4[/tex]
Step-by-step explanation:
[tex]\frac{27y^4 + 36y}{-9y}=-3y^3 -4[/tex]
Determine whether 8^2m/8^m2 is equivalent to each of the following expressions.
82m- 8m²
8m²-2m
82m-m²
64m-m²
Equivalent Not equivalent
By power properties the exponential expression [tex]\frac{8^{2\cdot m}}{8^{m^{2}}}[/tex] is only equivalent to [tex]8^{2\cdot m-m^{2}}[/tex]. (Correct choice: A)
What expression is equivalent to a exponential function?
In this question we must apply power properties to prove if a given expression have at least one equivalent. Now we proceed to show alternative forms:
[tex]\frac{8^{2\cdot m}}{8^{m^{2}}}[/tex]
[tex]8^{2\cdot m-m^{2}}[/tex]
By power properties the exponential expression [tex]\frac{8^{2\cdot m}}{8^{m^{2}}}[/tex] is only equivalent to [tex]8^{2\cdot m-m^{2}}[/tex]. (Correct choice: A)
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geometry it's about relations within triangles. need help solving for variables
Answer:
`18. x=9
19. x=4
20. x=25,5
21. x=3
22. x=3,5
23. x=10
Step-by-step explanation: