Answer:
C & 78.21 or 8 as the missing number
Step-by-step explanation:
9.983+12.05=22.033
68.91+9.3=78.21
It is believed that 30% of the people in Washington state want cell phone use banned in cafes. The CEO of a major coffehouse chain in Seattle wonders whether the opinion of the people who go to her cafes is different from the overall population. She hires a polling agency to investigate this issue. In a random sample of 1450 individuals, 474 people have the same opinion as the overall population. What is the p-value?
Answer:
The p-value is 0.025
Step-by-step explanation:
Given that:
30% of the people in Washington state want cell phone use banned in cafes
sample size N = 1450
X = 474 people have the same opinion.
The objective is to calculate the p-value.
Let's assume the level of significance = 5% = 0.05
From the information given ; the null and alternative hypothesis can be computed as:
\(\mathbf{H_o: p = 0.30 } \\ \\ \mathbf{H_a: p \neq 0.30}}\)
USING MINITAB; the simulation on what we compute on our MINITAB can be written as:
Test for p = 0.3 vs p not = 0.3
Sample X N Sample p 95 C.I Z-value P-value
1 474 1450 0.326897 (0.302752, 0.351041) 2.23 0.025
From what we have in our MINITAB Output;
Z - value = 2.23
P-Value = 0.025
The length of a living room is 12 feet and its width is 1012feet. The length of the room is being expanded by x feet. Select all the expressions that represent the area of the living room in square feet.
The area of living room is (126 + 10.5x) square feet. The solution has been obtained by using area of rectangle.
What is area of rectangle?
The territory a rectangle occupies inside its four sides or limits is known as its area.
We are given that the length of the room is being expanded by x feet.
This means that the extended length of the room is (12 + x) feet
We are given width of the room to be 10.5 feet
We know that area of a rectangle = length * width
So,
⇒Area = (12 + x) * 10.5
⇒Area = (126 + 10.5x) square feet
Hence, the area of living room is (126 + 10.5x) square feet.
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PLEASE HELP WILL GIVE BRAINLIEST AND 25 POINTS!!!
A model rocket is launched upward at a speed of 96 feet per second from a platform 7 feet above the ground. The path of the rocket can be modeled by the projectile equation, h(t)=-16t^2+v₀t+h₀
1. What is the maximum height the rocket will reach?
2. What is the average rate of change from the initial height to the maximum height?
Answer:
151 ft
48 ft/s
Step-by-step explanation:
h(t)=-16t^2+v₀t+h₀
v₀ = 96 and
h₀ = 7
h(t)=-16t^2+96t+7
The maximum height is at the vertex
The x values of the vertex is at
x = -b/2a = -96/ (2*-16) = -96/-32 =3
Substitute this into the function to find the maximum height
h(3) = -16 ( 3)^2 +96*3+7
-16*9 +288+7
151
The maximum height is 151 ft
Average rate of change from 0 to 3
h(3) - h(0)
---------------
3-0
151 -7
------------
3
144/3
48ft/s
Find the slope of the line through each pair of points.
9) (17,-6), (-11,7)
10) (3, 4), (-4,-5)
11) (-20, 14), (17, 15)
12) (11, -18), (-1, -7)
Helpppp
Slope = (y2-y1) / (x2-x1)
9) (7 - -6)/(-11- 17) = 13/-28
10) (-5-4)/(-4-3)= -9/-7
11) (15-14)/(17- -20) = 1/37
12) (-7 - -18) /(-1 -11) = 11/-12
.53х^2 – .6х^3
Standard form
well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)
On a coordinate plane, a quadrilateral has points E (negative 2, 0), D (0, 4), G (4, 2), and F (0, 0).
Which are true if figure DEFG is reflected across the x-axis? Check all that apply.
D(0, 4) → D'(0, –4)
E(–2, 0) → E'(–2, 0)
The perpendicular distance from G' to the x-axis will equal 2 units.
The perpendicular distance from D' to the x-axis will equal 8 units.
The orientation will be preserved.
By applying the reflection rule across the x-axis to quadrilateral DEFG, we obtain the following true statements:
D(0, 4) → D'(0, -4)E(-2, 0) → E'(-2, 0)The perpendicular distance from G' to the x-axis will be equal to 2 units.The reflection of a quadrilateral.In Geometry, the x-axis would remain the same if a quadrilateral is reflected across the x-axis and the sign on the y-axis would change either from positive to negative and vice-versa.
By applying the reflection rule across the x-axis (x, y) → (x, -y), we obtain the following true statements:
D(0, 4) → D'(0, -4)E(-2, 0) → E'(-2, 0)The perpendicular distance from G' to the x-axis will be equal to 2 units.Read more on reflection here: https://brainly.com/question/10929277
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Answer:
A
B
C
Are the right answer
Step-by-step explanation:
If y = x-4, which point corresponds to the location where y = -7? (Hint: Keep in mind that this question gives you the
value of y, not x.)
The variable y takes the value -7 when we have x = -3.
For which value of x we have y = -7?
Here we have the linear equation:
y = x - 4
We want to find the value of x such that y = -7, to get that, we only need to replace the variable y by the number -7 in the linear equation above:
-7 = x - 4
Now we can solve the linear equation for x.
-7 = x - 4
-7 + 4 = x
-3 = x
That is the solution.
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At a student government fundraiser, a notebook costs $6 and a t-shirt costs $12. if the total received for 90 items was $600, how many notebooks were sold? 20 40 60 80
Answer:80 notebooks
Step-by-step explanation:
If n is the number of notebooks and t is the number of t shirts the 2 equations that can be made are this:
\(6n+12t=600\\n+t=90\)
You can solve this by,
\(t=n+90\\6n+12(90-n)=600\\6n-12n+1080=600\\-6n=-480\\n=80\\\\)So 80 notebooks.
Answer:
D. 80
Step-by-step explanation:
It is right i did it on the test
find the maximum value of the product (x 1)(y 2) if x and y are two positive numbers that satisfy x 2y = 19.
The maximum value of the given product is 17.67.
To find the maximum value of the product (x + 1)(2y) under the constraint x^2 + 2y = 19, we can use the method of substitution.
From the constraint equation x^2 + 2y = 19, we can solve for y in terms of x:
2y = 19 - x^2
y = (19 - x^2)/2
Now, we substitute this expression for y into the product function:
(x + 1)(2y) = (x + 1) * 2 * ((19 - x^2)/2)
= (x + 1)(19 - x^2)
= 19x + x - x^3 - x^2
To find the maximum value of this function, we can take its derivative with respect to x and set it equal to zero:
d/dx (19x + x - x^3 - x^2) = 19 - 3x^2 - 2x
0 = 19 - 3x^2 - 2x
Now, we solve this equation for x. Rearranging, we have:
3x^2 + 2x - 19 = 0
Using the quadratic formula, we can solve for x:
x = (-2 ± √(2^2 - 43(-19))) / (2*3)
x = (-2 ± √(4 + 228)) / 6
x = (-2 ± √232) / 6
x ≈ -1.11 or x ≈ 1.78
Since we are looking for positive numbers, we take the positive value of x: x ≈ 1.78.
Now, substitute this value of x back into the equation for y:
y = (19 - x^2)/2
y = (19 - (1.78)^2)/2
y ≈ 3.46
Therefore, the maximum value of the product (x + 1)(2y) occurs when x ≈ 1.78 and y ≈ 3.46, and the maximum value is approximately (1.78 + 1)(2 * 3.46) ≈ 17.67.
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A tailor needs meters of cloth to make a poncho. How many meters does he need to make 15 ponchos of the same size?
Answer:
15 mister of cloths are needed to make 15 m if 1 puchu is 1 miter
Answer:15 meters
step by step explanation
If you’ve been named executor in someone’s will but are not able or do not want to serve, you need to file a declination, which is a legal document that declines your designation as an executor. The contingent executor named in the will then assumes responsibility. If no contingent executor is named, the court will appoint one. A declination is filed by a(n) when he or she . When this occurs, a contingent takes over the responsibilities.
A declination is filed by a(n) executor when he or she does not want to serve. When this occurs, a contingent executor takes over the responsibilities.
Who is an executor?An executor is a legally authorized and named person to distribute an estate according to the deceased person's desires.
An executor is usually named in the will to oversee the estate distribution of a deceased person.
In addition, a will may designate a contingent executor to assume the responsibilities of the primary executor if they are not available or when they file a declination (a legal document that declines designation as an executor).
The responsibilities of an executor include the following:
Settling estate taxesSettling the deceased's debtsInventorying property and belongingsAppraising and distributing the estate.Thus, when a named executor is unwilling to serve the will, the contingent executor serves.
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Question Completion:Fill in the gaps according to the passage.
A declination is filed by a(n) --------- when he or she ......... When this occurs, a .............. takes over the responsibilities.
Answer:
The answer to your question is,
A declination is filed by a(n) (✔ executor) when he or she (✔ does not want to serve.) When this occurs, a contingent ( ✔ executor) takes over the responsibilities.
Step-by-step explanation:
I hope this helps :)
if a single gold atom has a diameter of 2.9×10−10 m, how many atoms thick was rutherford's foil?
The foil was approximately 3.4 × 10⁷ atoms thick.
Rutherford's foil was made of gold and was used in his famous alpha particle scattering experiment. The thickness of the foil can be calculated by dividing its actual thickness by the diameter of a single gold atom.
Let's assume that the gold atoms in the foil are arranged in a simple cubic lattice. In this case, the actual thickness of the foil can be calculated as the number of gold atoms along one edge of the cube times the diameter of a single gold atom:
actual thickness = number of atoms × diameter of a single atom
To calculate the number of gold atoms, we need to know the density of gold and the mass of the foil. Let's assume that the density of gold is 19.3 g/cm³ and the mass of the foil is 0.6 mg = 6.0 × 10⁻⁷ kg.
The volume of the foil can be calculated as its mass divided by its density:
volume = mass / density = 6.0 × 10⁻⁷ kg / (19.3 × 10³ kg/m³) = 3.11 × 10⁻¹⁰ m³
The volume of the foil is also equal to the product of its actual thickness, the area of one face of the cube (which is the square of the number of atoms along one edge), and the volume of a single gold atom (which is (4/3)πr³, where r is the radius of the atom):
volume = actual thickness × (number of atoms)² × (4/3)πr³
Substituting the diameter of a single gold atom (2.9 × 10⁻¹⁰ m) for 2r, we get:
volume = actual thickness × (number of atoms)² × (4/3)π(1.45 × 10⁻¹⁰ m)³
Equating the two expressions for the volume of the foil, we get:
actual thickness × (number of atoms)² × (4/3)π(1.45 × 10⁻¹⁰ m)³ = 3.11 × 10⁻¹⁰ m³
Solving for the number of atoms, we get:
number of atoms = √(3.11 × 10⁻¹⁰ m³ / [(4/3)π(1.45 × 10⁻¹⁰ m)³]) ≈ 3.4 × 10⁷
So the foil was approximately 3.4 × 10⁷ atoms thick.
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Simplify the following expression.
Answer:
B.
Step-by-step explanation:
So to make it look simpler, rewrite it as this:
\(\frac{4^{5} 7^{3} }{4^27^4}\)
Now, you can cross out the 4^2 and 7^3
You're left with:
\(\frac{4^3}{7}\)
Mia's soccer coach told her to keep track of how much water she drinks. Yesterday she drank 18 ounces with breakfast, 21 ounces with lunch, and 19 ounces with dinner. She also finished 2 full 12-ounce bottles of water during soccer practice.
"Jade and Jackson go to Cracker Barrel and order $62.60 worth of food. They want to tip their waiter 20%. They also have to pay a tax of 5% on the original bill. What is the final cost of the meal?"
I just need help please!!!!!!
Answer:
78.25
Step-by-step explanation:
First find the tip.
62.60 * 20%
62.60*.2 = 12.52
Then find the tax
62.60 * 5%
62.60 * .05
3.13
Now add the cost of the food, tip, and tax.
62.60+12.52+3.13
78.25
Ex2. Prime Numbers ( 40 points) You will implement in this exercise an ancient Greek algorithm for finding the prime numbers less than a given number. (ask your instructor about the name of the algorithm after class!) Reminder: A prime number is a positive integer greater than 1 that is divisible only by itself and by 1 . Here is how the algorithm works assuming we would like to find the prime numbers ≪=20 : 1. Initially, assume that all the numbers are prime by marking them with 1 (0 means not prime). 2. For each number that is marked as prime, starting at 2, mark all of its multiples as not prime. which marks all the multiples of num in the array (of size n ) as not prime (excluding num). 2. Write a program that prints the prime numbers κ=150 : a) Create and initialize an array for marking the numbers with 0 (not prime) or 1 (prime). b) For every number 2<=i<150, use function cross_multiples_out to mark all of its multiples as not prime. c) Pass through the array and print the numbers marked as prime.
Previous question
The code efficiently identifies prime numbers using the ancient Greek algorithm. It initializes an array, marks the multiples of each prime number as non-prime, and then prints the prime numbers.
This algorithm demonstrates a straightforward and efficient method for finding prime numbers within a given range.The ancient Greek algorithm for finding prime numbers less than or equal to a given number is implemented in the provided Python code. The algorithm follows a simple approach of marking numbers as prime or non-prime.
It starts by assuming all numbers as prime and then proceeds to mark the multiples of each prime number as non-prime. The code initializes an array where each element represents a number and marks them all as prime initially. Then, it iterates over each number from 2 to the given number, checking if it is marked as prime. If it is, the algorithm crosses out all its multiples as non-prime. Finally, it prints the numbers that remain marked as prime.
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Identify the slope and y-intercept of each linear function's equation.
---2+3=y
slope = 1, y-intercept at -3
X-3=y
slope = -3; y-intercept at 1
y = 3r - 1
slope = 3; y-intercept at -1
y = 1 - 3x
slope = -1; y-intercept at 3
Answer:
- x + 3 = y ....... slope = -1 and y-intercept of 3
x - 3 = y ......... slope = 1 and y-intercept of -3
y = 3 x - 1 ......... slope = 3 and y-intercept of -1
y = 1 - 3 x ....... slope = -3 and y-intercept of 1
Step-by-step explanation:
Just read the slope and y intercept from the equations since they are all given in slope-intercept form:
- x + 3 = y ....... slope = -1 and y-intercept of 3
x - 3 = y ......... slope = 1 and y-intercept of -3
y = 3 x - 1 ......... slope = 3 and y-intercept of -1
y = 1 - 3 x ....... slope = -3 and y-intercept of 1
The height of parallelogram whose area is 35 cm2 and altitude 7 cm
please answer step by step friends.
Answer: height is 5
Step-by-step explanation:
Area of the parallelogram is altitude x height. You divide area (35) by altitude (7) to get 5
Help me with these four questions and thanks
Answer:
3. 3g/mL
4. 11 g/mL
5. 5mL
6. 500g
Step-by-step explanation:
Find the exact value of the real number y if it exists. Do not use a calculator y arctan (-1) Select the correct choice and fill in any answer boxes in your choice below O A. y-arctan(-1) O B. arctan (-1) does not exist (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the
The exact value of y is π/4, which is approximately 0.7854 radians or 45 degrees.
To find the exact value of the real number y using y = arctan(-1), we can evaluate the arctan function at -1.
The arctan function gives us the angle whose tangent is a given value. In this case, we want to find the angle whose tangent is -1.
Since the tangent of π/4 is equal to 1, we can write -1 as -tan(π/4).
Therefore, y = arctan(-1) = arctan(-tan(π/4)).
Now, arctan and -tan are inverse functions, so they cancel each other out, resulting in:
y = π/4.
Therefore, the exact value of y is π/4, which is approximately 0.7854 radians or 45 degrees.
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Maeko buys a birdfeeder that can hold 3½ pounds of sunflower seeds. She has 1 9/16 pounds of sunflower seeds. How many more pounds of sunflowers seeds does Maeko need to fill the feeder?
(HELP ASAP)
We may conclude after answering the presented question that So Maeko expression needs 1 15/16 pounds of sunflower seeds more to fill the feeder.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
To find out how much more sunflower seeds
\(1 9/16 = (1 x 16) + 9 / 16 = 25/16\\3 1/2 - 1 9/16 = (7/2) - (25/16)\\(7/2) - (25/16) = (56/16) - (25/16) = 31/16\\31/16 = 1 15/16\\\)
So Maeko needs 1 15/16 pounds of sunflower seeds more to fill the feeder.
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How to find the slope of a line passing through (-3,3) , (-5,9)
Answer:
slope = - 3
Step-by-step explanation:
\(slope, m = \frac{y_2 - y_1}{x_2 - x_ 1}\) , \([ \ (x_ 1 , y_ 1 ) = ( -3 , 3 ) , \ (x_2 , y _ 2 ) = ( - 5 , 9 ) \ ]\)
\(slope = \frac{9 - 3}{-4 - ( -3 )} = \frac{6}{-5 + 3} = \frac{6}{-2} = -3\)
PLS HELP IT’S DUE TMR!!
Answer:
Use ≈ (approximately equal) sign as the scientific notation.
Step-by-step explanation:
(a) 0.001872 ≈ 0.0019
(b) 0.3411 ≈ 0.34
(c) 0.000845 ≈ 0.00085
*Zeros before non-zero numbers are not significant.
*Zeros appearing between two non-zero digits are significant.
Hope this helps!!
Minimum wage at Ben's Burger Bar was $8.10 an hour, and later increased to $15 an hour. What was the percent increase?
The increase in the minimum wage from $8.10 to $15, indicates that the percentage increase in the minimum wage is 85.\(\overline{185}\)%
What does a percentage of an amount represent?A percentage represent the number, amount, proportion or ratio of an item to another (possibly larger) item per hundred (100) units of the comparison or larger item.
Percentages, quantitatively describes the idea of the amount of a substance. It is a measure of the amount or occurrence of an item.
The specified original minimum wage at Ben's Burger = $8.10
The new amount to which the minimum wage is increased = $15
The percentage increase can be obtained using the formula;
\(\% \ increase = \frac{New - Original}{Original} \times 100\)
The percentage increase is therefore; ((15 - 8.10)/8.1) × 100 = 85.\(\overline{185}\) %
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HELP!Find each percent change. Use a calculator and round answer to the nearest tenth as needed. State if it is an increase or decrease. 88 to 20
A.22.7% decrease
B.14.2% decrease
C.77.3% decrease
D.340% decrease
Answer:
C. 77.3% decrease
Step-by-step explanation:
To calculate the percent change, we can use the formula:
percent change = (new value - old value) / old value * 100
Plugging in the values, we get:
percent change = (20 - 88) / 88 * 100 = -68 / 88 * 100 = -0.772727 * 100 = -77.3
Since the new value is lower than the old value, this is a decrease, and the answer is -77.3, or 77.3% decrease.
Select the correct answer. Which expression is equivalent to the given expression? Assume the denominator does not equal zero. ((3C^(4)d^(4))/(2d^(9)))^(3) (3d^(4))/(2c^(2)) (27d^(2))/(8c^(2))
(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. The correct is option (C).
The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).
We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .
Let us simplify the given expression.
((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)
Now, we need to compare this expression with the expressions given in the answer choices.
Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.
Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.
Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.
Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).
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Find the product. Write your answer in exponential form 4^-8 x 4^0
Answer:
\(1/65536\)
Step-by-step explanation:
\(4^-8 \times 4^0\)
\(1/4^8 \times 1\)
\(1/4^8\)
\(=0.00001525878\)
Answer:
\(\frac{1}{4^{8} }\) or \(4^{-8}\) but the correct way would be \(\frac{1}{4^{8} }\)
Step-by-step explanation:
Last time I did this I was like in 8th grade so I had to watch a video lol, but basically... If you want the answer to stay in exponential form and if the base number is the same than all you gotta do is add or subtract the exponents.
-8+0=-8
But when it's a negative exponent you gotta make it positive by flipping it, so instead of \(4^{-8}\) it will be \(\frac{1}{4^{8} }\)
These dot plots show the weights (in kilograms) from a sample of leopards
and tigers.
Leopards
000
0000+
000000
00018
00
20
40
60
80
160
180
200
220
100 120 140
Weight (kg)
Tigers
000
2000
000000
2000
ooe
O
20
40
60
80
160
180
200
220
100 120 140
Weight (kg)
What are the differences between the centers and spreads of these
distributions?
Select two choices: one for the centers and one for the spreads.
No
Answer: A.Spreads: The weights of the tigers are more spread out.
B.Centers:The leopards have a lower median weight than the tigers
Step-by-step explanation:
On analyzing the dot plots, we find that the weight of Leopards are more spread out and the weight of Leopards has a lower median than Tiger.
What is median?Median is a statistical measure that determines the middle value of a dataset listed in ascending order. The measure divides the lower half from the higher half of the dataset.
Median of Weight of Leopard = 50 kg
Median of Weight of Tiger = 125 kg
This implies that the Leopards have a lower median weight than Tigers.
What is spread of data?
Spread describes the variation of the data. One of the measures of spread is range.
Range of weight of Leopards= 40 kg
Range of weight of Tigers = 90 kg
This implies that the weight of Tigers are more spread out.
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Find (8°f)(3)
f(x) = (x + 2
g(x) = -x^2
Answer:
A) -25
Step-by-step explanation:
\(f(x)=|x+2|\\\)
\(g(x)=-x^{2}\)
\((gof)(x)=g(f(x))=g(|x+21|)\\\)
\((gof)(x)=-(|x+21)^{2}\)
\((gof)(3)=-(13+21)^{2}\)
\((gof)(3)=-(151)^{2}\)
\(=-(5)\)
\((gof)(3)=-25\\--------\)
hope it helps...
have a great day!!
A pair of shorts cost $14. If they are on sale for 40% off, what is the sale price of the shorts?
Answer:8.4
Step-by-step explanation:
Ten percent of 14 is 1.4 so add 1.4 4 times or multiple 1.4 by 4 and you get 5.6, then subtract 14 by 5.6 and you get 8.4