Car Survey In a survey of 2,000 people who owned a certain type of car, 1,400 said they would
buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
70%
Step-by-step explanation:
1. 1400÷2000 = 0.07
2. move the decimal over 2 spaces for a percentage 0.07 --> 70.0
3. 70.0 = 70%
Related Questions
What represents a restriction on decision variable values for a
linear programming problem?
Group of answer choices
Constraints
Surpluses
Extreme Points
Optimal Points
Answers
In linear programming, constraints are restrictions or limitations imposed on the decision variable values. These constraints define the feasible region or feasible set of solutions for the linear programming problem. They can take the form of inequalities (such as less than or equal to, greater than or equal to) or equality constraints, and they help define the boundaries within which the decision variables must operate.
The correct answer is "Constraints."
Constraints play a crucial role in linear programming as they ensure that the solution satisfies the given limitations or requirements of the problem. By incorporating constraints, the linear programming problem can be formulated to find the optimal solution within the feasible region, which is the set of values that satisfy all the constraints simultaneously.
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Which is the Better Buy?½ pint of milk at $0.52, or 1 pint of milk at $0.99, or 1 quart of milk at $2.10, or ½ gallon of milk at $4.00.
Answers
Answer:
1 pint of milk
Step-by-step explanation:
1/2 pint -> .52X2=$1.04 for 1 pint
1 quart -> $2.10/2=$1.05 for 1 pint
there is 4 pints in 1/2 gallon so .99 X 4 = 3.96 for 1/2 gallon
hope this helps
Answer:
guest what you need milk
Step-by-step explanation:
In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following
of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a Johnny was asked how long it will take the population to reach complete sentence)
Answers
Johnny's assumption is that, none of the residents of the town will live up to 231 years.
The parameters are given as:
\(\mathbf{P_o = 10000}\)--- the population in 2005
\(\mathbf{r = 0.3\%}\) -- the rate at which the population declines
To model a population, we make use of the following exponential function
\(\mathbf{P = P_o \times(1 -r)^t}\)
Where P is the current population in t years.
So, we have:
\(\mathbf{P = 10000 \times(1 -0.3\%)^t}\)
When the population reaches half of the initial population, then P = 5000.
So, we have:
\(\mathbf{5000 = 10000 \times(1 -0.3\%)^t}\)
Divide both sides by 10000
\(\mathbf{0.5 = (1 -0.3\%)^t}\)
\(\mathbf{0.5 = (0.997)^t}\)
Take logarithm of both sides
\(\mathbf{log(0.5) = log(0.997)^t}\)
Rewrite the equation as
\(\mathbf{log(0.5) = tlog(0.997)}\)
Make t the subject
\(\mathbf{t = \frac{log(0.5)}{log(0.997)}}\)
\(\mathbf{t = 231}\)
This means that the population will halve its initial population in 231 years.
Johnny's assumption is that, none of the residents of the town will live up to 231 years.
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if katie scored a 93 on a test and her calculated z score was 2.14, what does that mean
Answers
A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.
Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.
A z score represents the number of standard deviations a data point is from the mean of the data set.
A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.
The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:
z = (x - μ) / σ
= (93 - 80) / 5
= 2.6
Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.
Katie's score is 2.6 standard deviations above the mean.
A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.
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The formula for the volume of a cone is shown below. V represents the volume, r radius and h height.
What is the height of a cone with a volume of 110 cubic cm and a base of 5 cm (so the radius is 2.5 cm)
V=1/3pir^2h
Answers
Answer:
110/5=2
2,5.5=15
2+15=17
Step-by-step explanation:
When Julius crossed the Rubicon, he had with him 3 times as many soldiers as he
needed to conquer Rome. If he had 26,000 soldiers with him, how many were needed
to conquer Rome?
Answers
86,000 :)
hope it helped!
( algebra ) can you please help
Answers
Answer:
-6 <= x <= 4
Step-by-step explanation:
a) -15<= 2x -3
-15+3 <= 2x
-12/2 <= x
x >= -6
b) 2x - 3 <= 5
2x <= 5 + 3
x <= 8/2
x <= 4
Let \( A=\left[\begin{array}{rrr}-2 & -5 & -13 \\ 4 & 5 & 11 \\ 1 & 2 & 6\end{array}\right] \) Find the third column of \( A^{-1} \) without computing the other two columns. How can the third column o
Answers
The third column of the inverse of the matrix, A = \(\begin{bmatrix}-2 & -5 & -13 \\4 &5 &11 \\1 &2 &6 \\\end{bmatrix}\), obtained using the product of A and the third column of A⁻¹ is; \(\begin{bmatrix} 1 \\ -3\\ 1 \\\end{bmatrix}\)
What is an inverse of a matrix?The product of a matrix and the inverse of the matrix is the multiplicative identity.
The specified matrix can be presented as follows;
A = \(\begin{bmatrix}-2 & -5 & -13 \\4 & 5 & 11 \\1 &2 & 6 \\\end{bmatrix}\)
The third columns of the inverse of the matrix, A, A⁻¹, can be obtained without computing the other two columns, as follows;
The inverse of the matrix A, A⁻¹ is the solution of the following matrix equation;
Ax = \(e_i\)
Where;
\(e_i\) = The column i of the identity matrix
x = The third column of the inverse matrix
Therefore, for the third column, we get;
\(e_i\) = \(e_3\) = \(\begin{bmatrix}0 \\ 0\\1\\\end{bmatrix}\)
Ax = \(e_3\) = \(\begin{bmatrix}0 \\ 0\\1\\\end{bmatrix}\)
Therefore;
x = \(e_i\)/X, which using a graphing calculator, indicates;
\(x = \frac{\begin{bmatrix}0 \\ 0\\1\\\end{bmatrix}}{\begin{bmatrix}-2 & -5 & -13 \\4 & 5 & 11 \\1 &2 & 6 \\\end{bmatrix}} = \begin{bmatrix}1 \\ -3\\1\\\end{bmatrix}\)
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Order the following numbers in order from LEAST to GREATEST. 9.5, 9.375, 9.125, 9.75 *
Answers
Answer:
9.5,9.75,9.125,9.375
Step-by-step explanation:
Practice exercise for GED Can I find the correct forms doing mean variance and standard deviation discrete probability
Answers
Given
Probability distribution table
Find
Mean , variance and Standard Deviation
Explanation
As we have given
X = 0 , 1 , 2 , 3 , 4 , 5
P(X) = 0.15 , 0.20 , 0.35 , 0.22 , 0.07 , 0.01
Mean
Formula is given by
\(\mu=\sum_^X\cdot P(X)\)first we find the values of X.P(X)
\(\begin{gathered} \sum_^X\cdot P(X)=0+0.20+0.70+0.66+0.28+0.05 \\ \sum_^X\cdot P(X)=1.89 \end{gathered}\)Variance =
\(\begin{gathered} \sum_^(x-\mu)^2P(x) \\ 0.54+0.16+0+0.27+0.31+0.10 \\ 1.3779\approx1.38 \end{gathered}\)standard deviation =
\(\begin{gathered} \sqrt{variance} \\ \sqrt{1.38} \\ 1.174\approx1.17 \end{gathered}\)Final Answer
Therefore ,
Mean = 1.89
Variance = 1.38
Standard Deviation = 1.17
FILL IN THE BLANK. considering the properties of the normal curve, if we know the mean and standard deviation, we are then able to calculate the___under the curve between any score and the mean. group of answer choices
Answers
Considering the properties of the normal curve, if we know the mean and standard deviation, we are then able to calculate the area under the curve between any score and the mean
Standard Deviation Normal distribution:
The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation. For the standard normal distribution, 68% of the observations lie within 1 standard deviation of the mean; 95% lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean. However, when using a standard normal distribution, we will use "Z" to refer to a variable in the context of a standard normal distribution. Since the area under the standard curve = 1, we can begin to more precisely define the probabilities of specific observation.
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what kind of stretches should i do cause i am a dancer
Answers
Answer:
Try your legs a lot do some do triceps cause like if you dont do streteches your body will hurt a lot
Step-by-step explanation:
Diane keeps her ribbons in a drawer. She has 3 white ribbons, 6 pink ribbons, 2 yellow ribbons, and 7 blue ribbons. Without looking, Diane pulls a ribbon out of the drawer. What is the probability Diane pulls out a pink ribbon?
Answers
Answer:
1/3
Step-by-step explanation:
She has 18 ribbons in total and she has 6 pink ribbons so she has a 6/18 chance or 1/3 chance of pulling a pink ribbon
The science department orders a new telescope and pays $253.87 after tax. The tax rate is 6% . What was the original price of the telescope
Answers
Easiest way to find 6% is by finding 10% or 2% or 1% / whatever you find easiest. For me it would be 1%
If you find 1 % you would then multiple it by 6 to give you 6%
10% is £25.38 (move the decimals 1 unit)
1% is £2.54 (move decimals 2 units)
Always round up
£2.54 X 6 = £15.24
£253.87 - £15.24 = £238.63
Answer: dont listen to the answer above
Step-by-step and you'll fall down the shdausta and tyou get deleminate dby the stairs and bu the fat cat in cthe chaet
A park is in the shape of a rectangle and measures 40 m by 30 m. How much longer is it to walk from A to B along the diagonal of the park than to walk along the edges of the park?
Answers
20 m longer it is to walk from A to B along the diagonal of the walk than to walk along the edges of the park.
Given:
Assume ABCD is a rectangular park of right triangles ABC of length = 40m, width = 30m, ∠C = 90
In the right-angled triangle ABC,
By Pythagoras' theorem,
AB² = AC² + BC²
AB² = 30² + 40²
AB² = 900 + 1600
AB² = 2500
AB² = \(\sqrt{2500}\)
AB = 50m
The distance from A to B along the diagonal of the park = 50m
The distance from A through to C = 30m.
The distance from A through C to B = 30 + 40 = 70m.
Therefore, 20 m longer it is to walk from the diagonal of the park to walk along the edges of the park.
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15 points please answer this ;(
Answers
Answer:
see explanation
Step-by-step explanation:
(1)
Given
A = bh ( isolate h by dividing both sides by b )
\(\frac{A}{b}\) = h
(2)
Using the result from (1)
h = \(\frac{A}{b}\) = \(\frac{45}{9}\) = 5 ft
Khamiyah bought a new pair of sneakers for $89.50. The sales tax is 7%.
What is the total cost that Khamiyah will pay?
Answers
Khamiyah will pay a total cost of
$83.23:)how many solutions does -2 + x -3 = 2x + 5 -x have?
Answers
Answer:
No solutions
Step-by-step explanation:
Consider the following current information for Galaxy Inc::
Output = 200 units
ATC = $50
What is the total cost of producing 200 units of output?
a. $10,000
b. $8,000
c. $1,100
d. Non
Answers
The answer is (a) $10,000.
How the total cost of producing 200 units of output can be found?The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:
Total Cost = Output x ATC
Total Cost = 200 x $50
Total Cost = $10,000
Therefore, the answer is (a) $10,000.
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the sides of a triangle, in centimetres,are x,2x-3 and 2x+5. The perimeter of the triangle is 57 cm.a)write down an equation for x. b)work out the lengths of three sides of the triangle
Answers
Answer:
11 cm, 19 cm, 27 cm
Step-by-step explanation:
Triangles have 3 sides and perimeter is the sum of all side lengths. So the equation is x + (2x-3) + (2x+5) = 57.
x + (2x-3) + (2x+5) = 57
x + 2x - 3 + 2x + 5 = 57
x + 2x + 2x - 3 + 5 = 57
5x + 2 = 57
5x = 57 -2
5x = 55
x = 11
Now that we know the value of x, we can figure out the side lengths. The first side (x) is 11 cm long, the second side (2x - 3) is 19 cm, and the third side (2x + 5) is 27 cm long.
Answer with step by step explanation
The perimeter of a triangle is the sum of the sides.
There fore,
a) x + 2x - 3 + 2x + 5 = 57Now, let us solve the above equation and find the value of x.
Let us solve.
x + 2x - 3 + 2x + 5 = 57
Combine like terms.
5x -3 + 5 = 57
5x + 2 = 57
5x = 57 - 2
5x = 55
Divide both sides by 5.
x = 11
And now they've asked us to write the lengths of three sides.
Let us write now.
b) x = 11 cm ( 2x - 3 ) ⇒ ( 2 × 11 - 3 ) ⇒ ( 22 - 3 ) ⇒ 19 cm( 2x + 5 ) ⇒ ( 2 × 11 + 5 ) ⇒ ( 22 + 5 ) ⇒ 27 cmLet me know if you have any other questions. :)
BRIDGES The lower arch of the Sydney Harbor Bridge can be modeled by g(x) = - 0.0018 (x - 251.5) ^ 2 + 118 where x in the distance from one base of the arch and g(x) is the height of the arch. Select all of the transformations that occur in g(x) as it relates to the graph of f(x) = x^2.
Answers
The transformations that occur in g(x) as it relates to the graph of f(x) = x^2 are: Option(A) ,(F),(C)
Vertical Translation: Upward by 118 units
Horizontal Translation: Right by 251.5 units
Vertical Compression
To identify the transformations that occur in the function g(x) as it relates to the graph of f(x) = x^2, we need to compare the two functions.
The general form of the function f(x) = x^2 represents a quadratic function with no transformations applied to it. It is the parent function.
The function g(x) = -0.0018(x - 251.5)^2 + 118 represents a quadratic function with transformations. Let's break down the transformations:
Vertical Translation: The term "+ 118" at the end of the function represents a vertical translation, shifting the graph of f(x) = x^2 vertically upward by 118 units. The graph of g(x) is translated 118 units up compared to the graph of f(x).Horizontal Translation: The term "(x - 251.5)" inside the function represents a horizontal translation, shifting the graph of f(x) = x^2 horizontally to the right by 251.5 units. The graph of g(x) is translated 251.5 units to the right compared to the graph of f(x).Vertical Stretch/Compression: The coefficient "-0.0018" multiplied by the squared term "(x - 251.5)^2" represents a vertical stretch or compression. Since the coefficient is less than 1, the graph of g(x) is vertically compressed compared to the graph of f(x).for similar questions on transformations.
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factor 5a2 – 30a 40. question 17 options: a) 5(a – 2)(a 4) b) 5(a – 2)(a – 4) c) (5a – 5)(a – 8) d) (a – 20)(a – 2)
Answers
The answer that you are looking for is b) 5(a – 2)(a – 4). In order to factor the formula, we must first locate two numbers whose sum is equal to -30 and whose product is equal to 40. Both constraints are met by the values -4 and -10, and as a result, we are able to factor the statement as 5(a – 2)(a – 4).(option b)
The following procedures can be used by us while factoring polynomials:
Find two numbers that, when added together, give you the coefficient of the middle term, and then multiply those two values by themselves to get the constant term.
Create the expression as the product of two binomials, with each binomial having one of the two numbers discovered in step 1. Write the equation as a product of two binomials.
Eliminate any factors that are frequent.
In this particular instance, the coefficient of the intermediate term is -30, while the value of the constant term is 40. When added together, the numbers -4 and -10 equal -30, and when multiplied together, they equal 40. Therefore, the expression can be factored as 5(a minus 2)(a minus 4).
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Tricky question heelp mee!
Answers
146
Step-by-step explanation:
Given:
\(x - \dfrac{1}{x} = 12\)
To Find:
\( \sf \: The \: value \: of \: {x}^{2} + \dfrac{1}{ {x}^{2} } \)
How to find:
Just square both side, Solve as a equation and get the answer. Simple, Isn't it?
Solution:
See in attachment.
Answer:
146
Step-by-step explanation:
The answer of this question id 146 .
you can do this type of numericals by above process.
336,765=3,14×0.55×(l+0.55) please help
Answers
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
min
x1+2x2
s.t. X1 + X2 ≤ 4
x1 - X2≥ 5
X1, X2 ≥ 0
For the LP problem above, which of the following statement is true?
A• The LP has a unique optimal solution.
B• The LP has multiple optimal solutions.
C• The LP has no feasible solution.
D• The LP is unbounded.
Answers
The correct option is B• "The LP has multiple optimal solutions". Because feasible region, intersects with the objective function in multiple points.
The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.
To determine the nature of the LP problem, we need to analyze its feasible region and objective function.
The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.
By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.
Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.
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Abhasra and her best friend found some money in an envelope. They split the money evenly, each getting $5.03. How much money did they find?
Answers
Answer:
$10.06
Step-by-step explanation:
Since there are 2 people, multiply the amount they each get by 2.
5.03 times 2=10.06
Final answer 10.06
Hope this helps:)
consider this polynomial equation
6(x-3)(x^2+4)(x+1)=0
the equation has ( A. 2 B.3 C.4) solutions. it's real solutions are x = (-2 -1 and 2 or. -1 and 3)
Answers
Answer:
2 solutions
-1 and 3 is the real solutions
900% of what number is 5,940?
Answers
Answer:
660
Step-by-step explanation:
If n represents the number, we are told ...
900% × n = 5940
We know that 900% = 900/100 = 9, so this is ...
9n = 5940
Dividing by the coefficient of n gives ...
n = 5940/9 = 660
The number is 660.
if x is positive, is x > 3 ? (1) (x – 1)2 > 4 (2) (x – 2)2 > 9
Answers
The answer is "yes," if x is positive, then x is greater than 3, x is greater than 3 when x is positive, we need to examine the two statements given in the problem.
Statement (1) tells us that (x – 1)2 is greater than 4. This means that (x – 1) is either greater than 2 or less than -2. However, this does not give us enough information to determine whether x is greater than 3 or not. For example, if x = 2, then (x – 1)2 is equal to 1, which is greater than 4, but x is not greater than 3. Statement (2) tells us that (x – 2)2 is greater than 9. This means that (x – 2) is either greater than 3 or less than -3. Again, this does not give us enough information to determine whether x is greater than 3 or not. For example, if x = 0, then (x – 2)2 is equal to 4, which is greater than 9, but x is not greater than 3.
Therefore, neither statement alone is sufficient to answer the question. However, if we combine the two statements, we can determine whether x is greater than 3 or not. If (x – 1)2 is greater than 4 and (x – 2)2 is greater than 9, then we know that (x – 1) is greater than 2 and (x – 2) is greater than 3. Adding these two inequalities gives us (x – 1) + (x – 2) > 5, which simplifies to 2x – 3 > 5, or 2x > 8, or x > 4. Therefore, we can conclude that if both statements are true, then x is greater than 4, which means that x is also greater than 3.
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19 Suppose you are building a rain shelter for a local park. The function y = 2 csc e models the lengthy of rafters needed if the peak is 2 feet above the top of the wall. The angle e is formed by the rafters and the top of the wall at of 2 Wall not drawn to scale Use a graphing calculator. Find the length of the rafters needed to make the roof for q 7". Round to the nearest tenth of a foot Select one: O a 2.5 feet Ob 16.4 feet Ос. 0.2 feet od 2 feet
Answers
Answer:
b 16.4 ft
Step-by-step explanation:
To solve this problem using a graphing calculator, we need to plug in the value of q (which is given as 7) into the equation y = 2 csc e, and then graph the resulting equation.
First, we need to convert the angle e from degrees to radians, because the csc function takes its input in radians. We can use the conversion formula:
radians = degrees x (π/180)
So for e = 2, we have:
e (in radians) = 2 x (π/180) = 0.0349 radians
Now we can plug this value into the equation y = 2 csc e:
y = 2 csc(0.0349) ≈ 103.8 feet
This tells us that the length of the rafters needed to make the roof is approximately 103.8 feet. However, the question asks us to round to the nearest tenth of a foot, so the answer is:
y ≈ 103.8 feet ≈ 103.8 rounded to the nearest tenth of a foot
Therefore, the length of the rafters needed to make the roof for q 7" is approximately 103.8 feet, rounded to the nearest tenth of a foot.
So the correct answer is (b) 16.4 feet.
Using the graphing calculator, we find that the length of the rafters needed is approximately 16.4 feet, Therefore, the correct answer is option B, 16.4 feet.
To find the length of the rafters needed for the roof with an angle of 7 degrees, we'll use the given function y = 2 * csc(e), where e is the angle formed by the rafters and the top of the wall. Here's a step-by-step explanation:
1. Convert the angle from degrees to radians: e (in radians) = (7 degrees * π) / 180 ≈ 0.1222 radians.
2. Calculate the cosecant (csc) of the angle e: csc(0.1222) ≈ 8.185.
3. Plug the value of csc(e) into the function: y = 2 * 8.185 ≈ 16.37.
Using a graphing calculator, we can input the function y = 2 csc e and graph it. Then, we can use the given angle of 2 to find the length of the rafters needed for a roof with a peak of 7 feet.
4. Round the length to the nearest tenth of a foot: 16.37 ≈ 16.4 feet.
When we graph the function, we can see that the length of the rafters is the distance between the x-axis and the point on the graph where y = 7.
So, the length of the rafters needed to make the roof for an angle of 7 degrees is approximately 16.4 feet (Option b).
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