Which of the following points are more than 5 units from the point P(-2,-2)? Select all that apply.
A (2,1)
B (4, -1)
C (2,4)
D(-7, -7)
E (-5,1)
Answer:
B C D
Step-by-step explanation:
PB = \(\sqrt{ (4+2)^2 + (-1+2)^2 }\) = \(\sqrt{37}\) = 6.08
PC = \(\sqrt{(2+2)^2 + (4+2)^2} = \sqrt{52} = 7.2\\\)
PD = \(\sqrt{(-7+2)^2 + (-7+2)^2} = \sqrt{50} = 7.07\)
Jared is tiling his kitchen. He wants to buy tile at the cheapest price. The local hardware store sells tile for $5.27 per square foot of tile. The cost at the mega hardware store is shown in the graph. There is a proportional relationship between the number of tiles bought and the cost of the tiles. What is the cheapest price Jared will pay for 100 square feet of tile
The cheapest price for 100 square feet $527 is at the local hardware store.
What is the price for 100 square feet at the local hardware store?The total price is equivalent to the price of tile per foot multiplied by 100.
$5.27 per square foot of tile x 100 = $527What is the price for 100 square feet at a mega hardware store?The total price is equivalent to the price of tile per foot multiplied by 100.
$5.35 per square foot of tile x 100 = $535Note: This question is incomplete because the graph is missing; here is the graph.
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cuánto le falta a 3/7 para llegar a 3 enteros?
-10d4e3f5 = 15d2e2f
Answer:
solve for D: d=0
solve for f: f=0
answer based on taking 'e' as a scientific notation
how many solutions does 3 ( x + 2 ) =3x + 1 have
Answer:
There are 0 solutions
Answer:
Zero
Step-by-step explanation:
Let's solve the equation first.
For now, I will focus on the LHS and simplify that:
3(x + 2) = 3x + 1
3x + 6 = 3x + 1
Rearrange
3x - 3x = 1 - 6
Simplify
0x = -5
0 = -5 which isn't true
So 3(x + 2) = 3x + 1 has 0 solutions.
Hi, thank you for helping people, have a good day/evening/night.
Answer:
thx you too
Step-by-step explanation:
The average daily temperature in a city is 55° in May. The average daily temperature in that same city is −3° in December. Which of the following represents the difference in degrees of these average temperatures? |
a.) 55| − |−3| = 52°
b.) |55| + |−3| = 58°
c.)55|−3| = 52°
d.)
D.) |−55| − |−3| = 58°
The expression that represents the difference in degrees of these average temperatures is given as follows:
b.) |55| + |−3| = 58°
How to obtain the difference between the maximum and the minimum temperature?The difference between the maximum temperature and the minimum temperature is obtained by the subtraction of these two temperatures.
The temperatures in this problem are given as follows:
May: 55º.December: -3º.Then the difference is given as follows:
55 - (-3).
When a positive number subtracts a negative number, the distributive property is applied to the negative number, meaning that it is equivalent to adding the positive number, hence:
55 - (-3) = 55 + 3 = 58º.
This means that option B gives the correct difference.
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Asoume that x and y are independent random variables, and that both have the expected value μ and the variance σ
2
. Decide for each of the statements below whether it is true or false. a) x+y have the same expected value fike 2x. b) x+y have the same variance as 2x. C) −X have the expected value −μ d) X - y have the variance 0 . e) (x+y)/2 have the standard devitation σ/2.
For the linear function, a) is true.
b) true, c) true, d) false, e) true.
a) True: Since expected value is a linear function, then the sum of the expected values of two independent random variables x and y is equal to the expected value of their sum (x + y). Thus, E(x + y) = E(x) + E(y). For example, if E(x) = μ and E(y) = μ, then E(x + y) = μ + μ = 2μ. But, E(2x) = 2E(x) = 2μ. Therefore, x + y has the same expected value as 2x. So, the statement is true.
b) True: We know that Var(2x) = 4Var(x) and Var(x + y) = Var(x) + Var(y) because x and y are independent random variables. Since x and y both have variance σ², then Var(x + y) = σ² + σ² = 2σ². Therefore, x + y has the same variance as 2x, that is, 2σ². So, the statement is true.
c) True: E(-X) = -E(X) = -μ. Since x and y have the same expected value μ, then -x and -y have the same expected value -μ. Thus, the statement is true.
d) False: The variance of X - y is σ² + σ² = 2σ² and not 0. Thus, the statement is false.
e) True: We know that the variance of (x + y) / 2 is Var((x + y) / 2) = [Var(x) + Var(y)] / 4 because x and y are independent random variables. Therefore, SD[(x + y) / 2] = √[Var((x + y) / 2)] = √[Var(x) + Var(y)] / 2 = √2σ² / 2 = σ / √2. Thus, the statement is true.
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Given that AB is a line segment and the angle y= 133, work out the value of the angle marked T. A B
Step-by-step explanation:
if seven times a number decreased by 4 is less than 27,then find the solution set
Andrea is conducting an experiment rolling a pair of number cubes, numbered from 1 through 6. She will roll the number cubes 36 times to test the prediction of a 1 out of 6 chance of rolling matching numbers; that is, both cubes show the same number. If her experiment holds true to the prediction, how many of the 36 times would matching numbers appear?
Answer:
6 times
Step-by-step explanation:
\( \frac{1}{6} \times 36 = 6\)
I need you to explain how I got that answer please
Okay here we have this:
Suppose the following and complete questions (A)-(C): The total cost (in dollars) of producing x coffee makers is C(x) = 1760-0.2x2 + 45x
The marginal cost function is C'(x) = -0.4x+45
C(30) 2930, C'(30)=33 and C(31) = 2962.80 (A) Find the exact cost of producing the 31st coffee maker.
(B) Approximate the cost of producing the 31st coffee maker.
(C) Approximate the total cost from selling 32 coffee makers.
The exact cost of producing the 31st coffee maker is $2962.80. By substituting x = 32, we find the cost at that specific quantity. This represents the approximate total cost incurred from producing and selling 32 coffee makers.
(A) To find the exact cost of producing the 31st coffee maker, we can substitute x = 31 into the cost function C(x) = 1760 - 0.2x^2 + 45x:
C(31) = 1760 - 0.2(31)^2 + 45(31)
= 1760 - 0.2(961) + 1395
= 1760 - 192.2 + 1395
= 2962.80
Therefore, the exact cost of producing the 31st coffee maker is $2962.80.
(B) To approximate the cost of producing the 31st coffee maker, we can use the marginal cost function C'(x) = -0.4x + 45.
The marginal cost represents the rate at which the cost changes with respect to the quantity produced. Since C'(30) = 33, we can use this information to estimate the change in cost from producing 30 to 31 coffee makers:
C'(30) ≈ (C(31) - C(30))/(31 - 30)
33 ≈ (C(31) - 2930)/(31 - 30)
Now, solving for C(31):
33 ≈ (C(31) - 2930)/1
33 ≈ C(31) - 2930
C(31) ≈ 33 + 2930
C(31) ≈ 2963
Therefore, the approximate cost of producing the 31st coffee maker is $2963.
(C) To approximate the total cost from selling 32 coffee makers, we can again use the cost function C(x) = 1760 - 0.2x^2 + 45x. Substituting x = 32:
C(32) = 1760 - 0.2(32)^2 + 45(32)
= 1760 - 0.2(1024) + 1440
= 1760 - 204.8 + 1440
= 2995.20
Therefore, the approximate total cost from selling 32 coffee makers is $2995.20.
(A) To find the exact cost of producing the 31st coffee maker, we substitute x = 31 into the cost function C(x). This gives us the precise value of the cost at that particular quantity.
(B) In this case, we approximate the cost of producing the 31st coffee maker using the marginal cost function C'(x). Since C'(30) is given,
we can estimate the change in cost from producing 30 to 31 coffee makers. By applying the definition of the derivative, we approximate the cost at x = 31 by rearranging the equation and solving for C(31).
(C) To approximate the total cost from selling 32 coffee makers, we once again use the cost function C(x). By substituting x = 32, we find the cost at that specific quantity. This represents the approximate total cost incurred from producing and selling 32 coffee makers.
It's important to note that these calculations involve approximations based on the given information and the assumptions made. For more accurate results, additional data points or a more precise model may be necessary.
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When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return what?
When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.
About Binary Search Algorithm
The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.
The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.
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convert the following measurements into
the indicated units
1.) 100 m^2
– as ft^2
2.) 2 km _____ ft
3.)2,057 grams - as kg
4.) 1.25 × 10-7 meters - as µm
5.) 6.58 × 104 meters - as km
6.) 2.78 × 10-1 grams - as mg
Answer:
1) 1076.4ft^2
2). 6561.68ft
3). 2.057kg
4). 1.25×10^-1
5). 6.58×10^1km
6). 278mg
Consider a normal distribution with mean 31 and standard deviation 3. What is the probability a value selected at random from this distribution is greater than 31?
The probability that a value selected at random from this distribution is greater than 31 is essentially 1.
Since the mean of the normal distribution is 31 and the standard deviation is 3, we know that the distribution is centered around 31 and the values are spread out within a range of approximately 3 units on either side of the mean. To find the probability that a value selected at random from this distribution is greater than 31, we need to look at the area under the curve to the right of 31.
Using a z-score table or a calculator, we can find that the z-score for 31 in this distribution is 0. This means that 31 is exactly at the mean of the distribution. To find the area under the curve to the right of 31, we need to find the area between 31 and positive infinity in terms of standard deviations from the mean.
Since the standard deviation is 3, we can find the distance between 31 and positive infinity in terms of standard deviations by dividing by 3:
(infinity - 31) / 3 = infinity/3 - 31/3 = infinity - 10.33
This tells us that the area under the curve to the right of 31 is the same as the area to the right of 10.33 standard deviations above the mean. However, since the normal distribution is continuous and extends infinitely in both directions, the area to the right of any finite value is essentially 1 (i.e. the probability of selecting a value greater than any specific value is essentially 100%).
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how do i solve this? will give brainliest
Answer:
n=-2c/p +2/p
Step-by-step explanation:
Help please asap thanks
Answer:
x = 8
Step-by-step explanation:
Write the expression as a power.
Answer:
Step-by-step explanation:
5(8) = 5 × 5 × 5× 5×5×5×5= 40
The probability density function for a uniform distribution ranging between 2 and 6 is
a. 4
b. undefined
c. any positive value
d. 0.25
The probability density function (PDF) for a uniform distribution ranging between 2 and 6 is 0.25 i.e., the correct option is D.
In a uniform distribution, all values within the range have an equal probability of occurring. The PDF is used to describe the distribution of probabilities over the range. For a uniform distribution ranging between 2 and 6, the PDF would be a horizontal line with a height of 1/4 (or 0.25) between 2 and 6, and zero outside that range. However, at any specific point within the range, the PDF does not have a defined value.
The reason for this is that the PDF for a continuous random variable in a uniform distribution is defined as a constant value divided by the width of the range. Since the range for this uniform distribution is 4 (from 2 to 6), the constant value would be 1/4.
However, at any specific point within the range, the width of the range becomes zero, resulting in an undefined value for the PDF.
Therefore, the PDF for a uniform distribution ranging between 2 and 6 is indeed 0.25, as it provides a constant probability density over the entire range.
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PLEASE HELP!!
look at screen shot for question.
Answer:
Step-by-step explanation:
To evaluate g(-5), you simply plug in -5 for x in the equation:
g(-5) = (-5)²-10 which is 25 - 10 which is 15. Therefore, g(-5) = 15
A zoo has 15Emperor penguins. The Emperor penguins make up 30%, percent of all the penguins at the zoo.
How many penguins live at the zoo?
Answer:
50
Explaination:
Call the number of penguins that live in the zoo = a
15 = 30% x a
a = 15 ÷ 30%
a = 15 : 0.3
a = 50
Divide the fractions and reduce to lowest terms: 2/5÷3/12
Answer:
8/5
Step-by-step explanation:
You can rewrite the equation to 2/5 * 12/3
Which is equal to 2/5*4
So 2 times 4 is 8
So the answer is 8/5
Hope this helps!
what is the common difference for the sequence shown below? (1 point) coordinate plane showing the points 1, 5; 2, 2; and 3, negative 1 −3 − one third one third 3
To find the common difference of the sequence shown below, we need to use the formula that defines arithmetic sequences. Arithmetic Sequence An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant.
The formula that defines arithmetic sequences is given by:an = a1 + (n - 1)dwhere:an: the nth term of the sequencea1: the first term of the sequenced: the common difference between consecutive termsn: the number of terms in the sequence.
We can see from the given points that the sequence is {5, 2, -1}. To find the common difference (d), we can use any two consecutive terms in the sequence. Subtracting 2 from 5 gives:d = 5 - 2 = 3So, the common difference for the sequence shown below is 3.
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a 95onfidence interval for the ages of six consecutive presidents at their inaugurations is about (,). either interpret the interval or explain why it should not be interpreted_____________________.
Without that information, I cannot interpret or evaluate the validity of the interval. However, I can provide general guidance on how to interpret a confidence interval.
A 95% confidence interval for a parameter (such as the mean age of the six presidents at their inaugurations) is an interval estimate calculated from sample data that has an associated probability of capturing the true population parameter. Specifically, it means that if we were to repeat the sampling process many times and construct 95% confidence intervals each time, approximately 95% of those intervals would contain the true population parameter.
Therefore, if the confidence interval you provided was calculated correctly and is valid, it means that we are 95% confident that the true mean age of the six presidents at their inaugurations falls within the given interval. However, if there are any issues with the data or the assumptions made in calculating the interval, it may not be appropriate to interpret it in this way.
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Find an equation of the tangent line to the circle at the indicated point. Recall from geometry that the tangent line to a circle is perpendicular to the radius of the circle at the point of tangency.
Circle : x
2
+
y
2
=
25
Point : (
3
,
−
4
)
The tangent line to a circle is perpendicular to the radius of the circle at the point of tangency. The equation of the tangent line to the circle x^2 + y^2 = 25 at the point (3, -4) is y + 4 = (3/4)(x - 3).
For the equation of the tangent line to the circle x^2 + y^2 = 25 at the point (3, -4), we need to determine the slope of the tangent line and then use the point-slope form of a linear equation.
The given point (3, -4) lies on the circle, so it also lies on the radius of the circle that passes through the origin (0, 0) and (3, -4).
The slope of the radius is given by the change in y divided by the change in x:
Slope of the radius = (y2 - y1) / (x2 - x1)
= (-4 - 0) / (3 - 0)
= -4/3
Since the tangent line is perpendicular to the radius, the slope of the tangent line will be the negative reciprocal of the slope of the radius.
Slope of the tangent line = -1 / (slope of the radius)
= -1 / (-4/3)
= 3/4
Now that we have the slope of the tangent line, we can use the point-slope form of a linear equation to find the equation of the tangent line.
Point-slope form: y - y1 = m(x - x1)
Using the point (3, -4) and the slope 3/4, we have:
y - (-4) = (3/4)(x - 3)
Simplifying the equation:
y + 4 = (3/4)(x - 3)
This is the equation of the tangent line to the circle x^2 + y^2 = 25 at the point (3, -4).
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What is a perfect square? A. a number whose square root is a decimal number that terminates B. a negative whole number C. a number whose square root is a whole number D. a number times itself
Answer:
The answer is option C.
a number whose square root is a whole number
Hope this helps you
Answer:
C. a number whose square root is a whole number
Step-by-step explanation:
A number whose square root is a terminating decimal is not a perfect square.
A negative whole number cannot be a perfect square.
A number times itself is squared, the number itself is not a perfect square.
The correct answer is option C, a number whose square root is a whole number. For example: 4 is a perfect square.
\(\sqrt{4} =2\)
The square root of a perfect square is always a whole number.
which of the following describes the type of sampling method in which a sample frame is divided into groups? question 1 options: simple random sampling. systematic sampling. cluster sampling. stratified sampling.
The type of sampling method in which a sample frame is divided into groups is called stratified sampling.
The sampling method that describes the division of a sample frame into groups is called cluster sampling. This method involves randomly selecting groups (or clusters) from the population and then selecting individuals within those clusters to be part of the sample. It is different from stratified sampling, which involves dividing the population into subgroups and then randomly selecting individuals from each subgroup, and simple random sampling, which involves randomly selecting individuals from the population without any grouping. Systematic sampling involves selecting every nth individual from a list of the population.
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When merida divides her age by 3 and adds 5, the result is 9 which equation represents this situation where m is meridas age?
a/ 9= (m ~ 3) x 5
b/ m= (9 - 3 ) + 5
c/ m = (9~3) +5
d/ 9= (m~ 3) +5
When Merida divides her age by 3 and adds 5, the result is 9, now the equation becomes: 9 = (m + 3) ÷ 5.
What is an equation?The link between two expressions on each side of the sign is represented by a mathematical equation. One variable and an equal sign are often present.
The definition an equation in algebra is a mathematical expression that indicates the equivalence of two mathematical terms. In equation 6x + 11 = 14, for instance, the two expressions 6x + 11 and 14 are separated by the symbol "equal."
When Merida divides her age by 3 and adds 5, the result is 9, now the equation becomes: 9 = (m + 3) ÷ 5, this represents the situation where m is Merida's age.
correct option: D
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an explanation of an event that is based on repeated observations and experiments is a
An explanation of an event that is based on repeated observations and experiments is a scientific theory
A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.
We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts
Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.
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please i need help asap
Answer:
y = 7 * 4x - is a linear
y = (2x+5)^2 is a non linear
y = 10x^3 is a non linear
y = 5x - 3 is a linear
y = x/2 is a linear
y = 2x^3 + 1 is a non linear