Answer: 0.00435 If you do it by one.
0.0087 if you do it by two. And-
0.01304 if you do it by three.
I really hope this helps have a good day :)) (pls make brainliest im trying to each a goal!)
Step-by-step explanation:
random sample has been taken from a normal population and two confidence intervals constructed using exactly the same data. The two CIs are (38.02, 61.98) and (39.95, 60.05). (a) What is the value of the sample mean
The sample mean of the random sample is 50
The margin of error (E) is the amount of error allowed in the random sample.
The confidence interval (CI) is given by:
CI = μ ± E = (μ - E, μ + E)
Given a confidence interval of (38.02, 61.98), hence:
μ - E = 38.02 (1)
μ + E = 61.98 (2)
Hence solving equations 1 and 2 simultaneously gives:
μ = 50, E = 11.98
Hence the sample mean of the random sample is 50
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Which is the best estimate of the product 3,780 × 2?
Answer:
8000
Step-by-step explanation:
Please help me answer this:)
Will give you brainlst ^
Okay, got it!
Here's the graph (sorry if it's confusing I'm going to try my best)
Print Electronic Total
Youths 33 28 61
Adults 33 37 70
Total 66 65 131
Hope this helps!
Line j has an equation of y = 1/5x + 7. Perpendicular to line j is line k, which passes through
the point (-1, -3). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \impliedby y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+7 \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{1}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{5}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}\)
so then line K has a slope of -5 and pass through (-1, -3)
\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad \qquad slope=m=-5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-5}[x-\stackrel{x_1}{(-1)}] \\\\\\ y+3=-5(x+1)\implies y+3=-5x-5\implies y=-5x-8\)
PLEASE HELP!! a bag contains 10 marbles. four of them are red, three blue, two white, and one yellow. A mare ke drawn at random. What is the probability that it is blue?
Answer:
The probability that one marble drawn at random is not blue is 70%
About how accurately should you measure the side of a square to be sure of calculating the area to within 4% of its true value?
We should measure the side of a square to be sure of calculating the area to within 4% of its true value is upto 4 decimal places.
If the computed area has to be within 4% of the actual area, the absolute value of the area error, dA, has to be less than or equal to 0.04A.
Let x be the square's actual side length. Create an equation for AA and then calculate its derivative.
When dA = 4xdx and A = x2 are substituted into the equation,
4xdx = 0.04x 2 = 0.04x^ 2 = 0.0016x
When the equation for dx, which is the inaccuracy in the measurement of the side length, is solved.
Because 4x>0, it may be extracted from the absolute value and split to the opposite side.
The inaccuracy in measuring the side length x must then be less than 1%.
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The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
A box has colored balls (12 red, 10 green, 6 light blue and 8 yellow). What is the probability of drawing 2 red balls?
Answer:
You will have a 33% chance of drawing a red ball
Step-by-step explanation:
If you do 12+10+8+6, you get 36 which then you would ratio it. 12:36, and you would convert that to a percent, which is 33%
please help with slope
Answer:
-2/3
Step-by-step explanation:
down 2, right 3
Slope:-
\(\\ \rm\hookrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}\)
\(\\ \rm\hookrightarrow m=\dfrac{-4+1}{-5+9}\)
\(\\ \rm\hookrightarrow m=\dfrac{-3}{4}\)
I need help I have searched everywhere and nothing
industrial costs A power plant is located near a river, where the river is 800 ft wide. Running a cable from the plant to a location in the city, 2 miles (mi) downstream on the opposite side, costs $ 180 per ft across the river and $ 100 per ft ashore along the riverbank .
a) Suppose the cable runs from the plant to point Q, on the opposite side, which is x ft from point P, directly opposite the plant. Write a function C (x) that indicates the cost of laying the cable in terms of the distance x.
b) Generate a table of values to determine if the cheapest location for point Q is less than 2000 ft or greater than 2000 ft from point P.
Answer:
See attached
Step-by-step explanation:
All answers in one graph, refer to attached
The function we need is
C(x) = 100(2*5280 - x) + 180\(\sqrt{800 +x^2}\), where 2*5280= 2 milesTable included as well
The vertex is about x = 19 ft which corresponds the minimum cost
Any other value, including negative reveal greater cost
Note. there is a bit confusion over 2 miles or 2000 ft, but the graph is going to be same in shape and vertex for x, the value for cost will be differentJermaine kicked a soccer ball at a speed of 24 feet per second. If the ball never leaves the ground, then it can be represented by the function H(t) = −16t2 + 24t. Determine the time the ball traveled. (1 point) t = 24 seconds t = 8 seconds t = 1.5 seconds t = 0.67 seconds
The time that the ball traveled is given as follows:
1.5 seconds.
How to obtain the time traveled by the ball?The quadratic function determining the ball's height after t seconds is given as follows:
H(t) = -16t² + 24t.
The roots of the quadratic function in this problem are given as follows:
-16t² + 24t = 0.
16t² - 24t = 0
8t(2t - 3) = 0.
Hence we apply the factor theorem as follows:
8t = 0 -> t = 0.2t - 3 = 0 -> 2t = 3 -> t = 1.5.Hence the time is given as follows:
1.5 - 0 = 1.5 seconds.
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A rectangle with a perimeter of 40 inches has a width that is 3 times the length. What is the length And the width
The Length is 5 inches and the Breadth is 15 inches
What is Perimeter?
A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.
Solution:
Perimeter of Rectangle = 2*(Length + Breadth)
According to the question
Breadth = 3*Length
Perimeter = 40
40 = 2*(Length + 3*Length)
20 = 4*Length
Length = 5 inch
Breadth = 15 inch
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What value of a makes the equation an identity? 3a(x-4) = 8x-16
We can conclude that no value of 'a' will make the equation an identity.
What exactly are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal.3x + 5 = 14, for example, is an equation in which the expressions 3x + 5 and 14 are separated by a 'equal' sign.The equation is an identity if solving it results in a true statement such as 0 = 0.So, to get 0 = 0 to make the equation an identity, we have to get such a value of a that makes the LHS 8x - 16 which will be similar to RHS 8x - 16.
If we take a = 1 then the LHS will be less than the RHS as:
3(1)(x-4) = 8x-163x - 12 ≠ 8x-16If we take a = 2 then:
3(2)(x-4) = 8x-166x - 24 ≠ 8x-16If we take a = 3 then the LHS will be greater than the RHS as:
3(3)(x-4) = 8x-169x - 36 ≠ 8x-16So, we can conclude that no value of 'a' will make the equation an identity.
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Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the graph to determine the function's domain and range.
f(x) =x^2 +12x+6
What is the vertex?
What are the x-intercepts?
What is the y-intercept?
what is the axis of symmetry?
Identify the function's domain
Identify the function's range.
The Vertex is : (-6, -30)
The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)
The Y-intercept is : (0, 6)
The Axis of symmetry is : x = -6
The functions Domain: is All real numbers
The Range is : All real numbers greater than or equal to -30.
To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.
To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)
In this case, a = 1, b = 12, and c = 6.
Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.
To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)
So, the vertex is (-6, -30).
To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)
Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.
Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).
The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)
Thus, the y-intercept is (0, 6).
The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.
The domain of the function is all real numbers since there are no restrictions on the possible input values of x.
To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.
Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).
As a result, the range of the function is all real numbers greater than or equal to -30.
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Please answer asap!! what is the equation that best models the data from the table after the data has been linearized?
The equation that best models the data from the table after the data has been linearized is y=294755 * 1.21728^x. This equation follows an exponental model.
When is the exponential model best used for an equation?Looking at the data, it is very evident that it is not increasing linearly but rather exponentially.
An exponential equation has the general pattern of formula which y = ab^x, where a is the main value and b is the growth factr.
The question below is as seen in the picture, and the above answer is dependent on it.
What is the equation that best models the data from the table after the data has been linearized?
X y
2 4.4
7 18.2
13 120.0
19 715.4
22 1,768.3
26 5,775.9
30 10.508.5
(1 point)
logy=0.12502x+0.427231
y=1,350 76x+1,350.76
y=294755 * 1.21728^x
y=5,927 281og x-3,880 59
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875,000 x 100 = 875 x ____
Answer:
875,000 x 100 = 875 x __100000__
Answer: 100000
Step-by-step explanation: 875,000 x 100 = 875,00000 and not just add the 0s to number 1 and thats ur answer
find the volume of the right circular cone that has a height of 2.7ft and a base with a diameter of 14.4ft
The value of volume of the right circular cone is,
⇒ V = 146.5 feet³
We have to given that;
In the right circular cone;
Height = 2.7 feet
Diameter = 14.4 feet
Here, The area that any 3-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Since, We know that;
The volume of the right circular cone is,
V = πr²h / 3
Here, Radius = 14.4 / 2 = 7.2 feet
Hence, Substitute all the values, we get;
⇒ V = 3.14 × 7.2² × 2.7 / 3
⇒ V = 146.5 feet³
Therefore, The value of volume of the right circular cone is,
⇒ V = 146.5 feet³
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Line I is the perpendicular bisector of AB. What is the length of BM?
6 cm
Step-by-step explanation: on quizizz
Aircraft A has 105 more seats than aircraft B. If their total number of seats is 701, find the number of seats for each aircraft.
Aircraft A has how many seats?
Answer:
Aircraft A: 403 seats
Aircraft B: 298 seats
Step-by-step explanation:
Let's x represent the seats in Aircraft B
We have the equations:
Aircraft A: (x + 105)
Aircraft B: x
We Know
Their total number of seats is 701; find the number of seats for each aircraft.
We Take
x + (x + 105) = 701
2x + 105 = 701
2x = 596
x = 298 seats
So, there are 298 seats in Aircraft B
Aircraft A has how many seats?
We Take
701 - 298 = 403 seats
So, there are 403 seats in Aircraft A
Final Answers:
Aircraft A: 403 seats
Aircraft B: 298 seats
In a class of 24 students, 8 of them have forgotten where their locker is located. Determine the percentage of students who know where their locker is located.
Answer:
33.33%
Step-by-step explanation:
Consider the polynomial function q(x) = -2x^8 + 5x^6 -3x^5 + 50 What is the end behaviour of the graph of q?
The end behavior of the function q(x) is:
when x → ∞, q(x) → -∞when x → -∞, q(x) → -∞How to identify the end behavior?To know the end behavior we need to look at the degree and the sign of the leading coefficient.
If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.
Here we can see that the function is:
q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50
So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:
when x → ∞, q(x) → -∞
when x → -∞, q(x) → -∞
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What is the volume of the right rectangular prism?
a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3
Answer:
c part is correct answer
Answer: D) 240 cm^3
Step-by-step explanation:
On edge
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Leah said on her birthday: “Today I am exactly three times as old as I was four years ago.“ And that was true. In how many years can Leah truthfully say on her birthday: “Today I am exactly twice as old as I was four years ago“?
in 2 years, Leah will be exactly twice as old as she was four years ago. Therefore, the answer is 2 years.
How to determine In how many years can Leah truthfully say on her birthday: “Today I am exactly twice as old as I was four years ago“Let's start by setting up an equation based on the given information.
Let Leah's current age be represented by "x". Then, we know that:
x = 3(x-4)
Expanding the right side of the equation:
x = 3x - 12
Bringing the "x" term to the left side and simplifying:
2x = 12
x = 6
So Leah is currently 6 years old. Now we want to find out how many years it will take for her to be exactly twice as old as she was four years ago. Let's represent this number of years as "y". Then we can set up another equation:
6 + y = 2(6 - 4 + y)
Simplifying:
6 + y = 2(2 + y)
6 + y = 4 + 2y
2 = y
So in 2 years, Leah will be exactly twice as old as she was four years ago. Therefore, the answer is 2 years.
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Which two integers is √93 between?
Answer:
between 9 and 10
Step-by-step explanation:
A survey of 800 randomly selected adults in a certain country found that 82% believed that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
a. Verify the Central Limit Theorem conditions.
b. Find a 95% confidence interval for the proportion of adults in the country who believe that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
c. Would a 90% confidence interval based on this sample be wider or narrower than the 95%
interval? Give a reason for your answer.
a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c) . A 90% confidence interval would be wider than the 95% interval
How to Verify the Central Limit Theorem conditions.To verify the Central Limit Theorem (CLT) conditions, we need to check the following:
1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.
2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.
3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.
Therefore, the Central Limit Theorem conditions are met.
b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:
CI = p ± z * √(p(1-p)/n)
where:
- p is the sample proportion (82% or 0.82 in decimal form).
- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.
- n is the sample size (800).
Calculating the confidence interval:
CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)
CI = 0.82 ± 1.96 * √(0.82*0.18/800)
CI = 0.82 ± 1.96 * √(0.1476/800)
CI = 0.82 ± 1.96 * √0.0001845
CI ≈ 0.82 ± 1.96 * 0.01358
CI ≈ 0.82 ± 0.0266
The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.
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how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
(02.02)Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric values and decimal point, and report prices to two decimal places, such as 12.30.) $______ per hour. I NEED HELP FAST!!
13.3 is the rate boom
At a sale this week, a desk is being sold for $561. This is 68% of the original price. What is the original price?
Answer:
825
Step-by-step explanation:
hope it helps.good day
1. Answer the following questions on the number given below. 12,34 761 (a) What is this number called?
Step-by-step explanation:
one million, two hundred thirty-four thousand, seven hundred sixty-one