Internet speeds are a heavily advertised selling point of Internet Service Providers. You notice that although you are paying for a certain speed, the true speed seems to vary depending on where you are in your house. In order to estimate the true average speed you are getting in your house, you go to 11 random spots around your house and record the speed (in MBs per second) shown from a test at 'www.speedtest.net'. You see that the average is 6.38 MB/s with a standard deviation of 1.62 MB/s. You decide to create a 95% confidence interval for the average internet speed in your house. What is the margin of error for this estimate?
Question 5 options:
1) 0.8853
2) 1.0751
3) 0.4884
4) 1.0883
Answers
The margin of error for this estimate is 0.8853 MB/s. Your answer is option 1) 0.8853.
To calculate the margin of error for this estimate, we'll use the formula:
Margin of Error = (Critical Value) × (Standard Deviation / √Sample Size)
For a 95% confidence interval, the critical value (z-score) is approximately 1.96. The standard deviation is 1.62 MB/s, and the sample size is 11.
Margin of Error = 1.96 × (1.62 / √11) ≈ 0.8853
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Related Questions
PLEASE HELPP Determine if each proportion on the left is True or False. Answer options on the right side may be used more than once.
12/90 = 6/45 True
False
8/12 = 5/8
9/36 = 3/12
7/21 = 5/15
Answers
8/12=5/8 -false
9/36=3/12 - true
7/21=5/15 - true
Answer:
12/90=6/45 and false is 8/12 = 5/8
dj
Solve for p in the literal equation 5p + 6r = q.
Answers
Answer:
p = q /2 − 5 r /2
5p+6r=q, move the variable 6r to the right which makes it a negative.
5p=q-6r, divide both sides by 5.
p=1/5q-6/5r should be your answer
A ball is thrown upward from a height of 3 m at an initial speed of 60 m/sec. Acceleration resulting from gravity is -9.8 m/seca. Neglecting air resistance, solve for the velocity v(t) and the height h(t) of the ball t seconds after it is thrown and before it returns to the ground.
Answers
The velocity v(t) of the ball can be found by integrating the acceleration due to gravity, which is v(t) = -9.8t + 60, while the height h(t) can be determined through integration of the velocity.
To determine the velocity v(t) and height h(t) of the ball at time t after it is thrown, we can use the principles of motion and integration. The acceleration resulting from gravity is a constant -9.8 m/s². Integrating the acceleration gives us the velocity v(t) as v(t) = -9.8t + v₀, where v₀ is the initial velocity. By integrating the velocity, we obtain the height h(t) as h(t) = -4.9t² + v₀t + h₀, where h₀ is the initial height.
Given that the ball is thrown upward from a height of 3 m with an initial speed of 60 m/s, we can substitute these values into the equations. Thus, v(t) = -9.8t + 60, and h(t) = -4.9t² + 60t + 3.
These equations represent the velocity and height of the ball at any time t after it is thrown until it returns to the ground.
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Please help me :(((((((((((( Thank youuuu !!!
Answers
Answer:
455
Step-by-step explanation:
(a) Which numbers are divisible by 3 ?
(b) Which numbers are divisible by9?
Answers
(B) 9, 18, 27, 36, 45, 54, 63, 72, 81...... also any number is the 9 times table
Brian invests £4900 into his bank account.
He receives 1.5% per year compound interest.
How much will Brian have after 4 years?
Round your answer to 2 D.P
Answers
Answer:
£5200.68Step-by-step explanation:
Given:
Investment P = £4900Interest rate r = 1.5% or r = 0.015Time t = 4 yearsNumber of compounds per year n = 1Find the future amount:
\(F = P*(1+r/n)^{nt}\\\)\(F = 4900*(1+0.015/1)^{1*4}=4900*1.015^4 = 5200.68\)Answer:
£ 5200.37
Step-by-step explanation:
You can use the below formula to find the total amount of money which he will receive after n years when he invests in compound interest.
\(A = P [ 1 + \frac{r}{100} ] ^{n}\)
Here,
A ⇒ Amount
P ⇒ Money invested ⇒ £4900
r ⇒ Percentage ⇒ 1.5%
n ⇒ No. of years ⇒ 4 years
Let us solve now.
\(A = P [ 1 + \frac{r}{100} ] ^{n}\)
\(A =4900[1+\frac{1.5}{100} ]^{4}\)
\(A =4900[1.015]^{4}\)
\(A=4900[1.0613]\)
\(A=5200.37\)
Hope this helps you :-)
Find the coordinates of the midpoint M of ST. Then find the distance between points S and T. Round the distance to the nearest
tenth
S(6,-3) and T(7,-2).
The midpoint is M. The distance between S and T is about
Answers
The midpoint between two co-ordinate points is the point between them.
To find the midpoint M between S and T, we use the formula below.
Formula:
M = [(x₁+x₂)/2, (y₁+y₂)/2].......... Equation 1From the question,
Given:
x₁ = 6x₂ = 7y₁ = -3y₂ = -2Substitute these values into equation 1
M = [(6+7)/2, (-3-2)/2]M = (13/2, -5/2)To calculate the distance between S and T, we use the formula below.
Formula:
d = √[(x₂-x₁)²+(y₂-y₁)²]............ Equation 2Substituting into equation 2
d = √[(7-6)²+(-2-(-3)]d = √(1+1)d = √2#SPJ2
AD and MN are chords that intersect at point B.
A circle is shown. Chords A D and M N intersect at point G. The length of A B is 9, the length of B D is x + 1, the length of M B is x minus 1, and the length of B N is 15.
What is the length of line segment MN?
Answers
Answer:
\(MN = 18\)
Step-by-step explanation:
Given
\(AB = 9\)
\(BD = x + 1\)
\(MB = x - 1\)
\(BN = 15\)
See attachment
Required
Determine MN
The products of the segments of two chords that intersect are always, equal.
So, we have:
\(AB * BD = MB * BN\)
\(9 * (x + 1) = (x - 1) * 15\)
Open bracket
\(9x + 9 = 15x - 15\)
Collect like terms
\(15x - 9x = 9 + 15\)
\(6x = 24\)
Solve for x
\(x = \frac{24}{6}\)
\(x = 4\)
The length of MN is calculated as:
\(MN = MB + BN\)
\(MN = x - 1 + 15\)
Substitute \(x = 4\)
\(MN = 4 - 1 + 15\)
\(MN = 18\)
Answer:
C. 18 units
Step-by-step explanation:
How do you use a critical value table?
Answers
To use the critical value table, you must first decide on the level of significance for your hypothesis test. This is usually represented by alpha (α) and is the probability of rejecting the null hypothesis when it is actually true. Common levels of significance include 0.05 and 0.01.
A critical value table is a tool used in hypothesis testing to help determine whether or not to reject the null hypothesis. This table provides the critical values for a given level of significance and sample size for various statistical distributions such as the normal, t, chi-squared, and F distributions.
Once you have determined the level of significance, you can use the critical value table to find the critical value for your chosen distribution.
For example, if you are using a t-distribution with a sample size of 30 and a significance level of 0.05, you would look in the t-distribution section of the critical value table for the row with a sample size of 30 and find the critical value in the column corresponding to a significance level of 0.05.
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88 liters is how many gallons
Answers
Answer:
23,247 us liquid gallons
Answer:
23.25 Gallons
Step-by-step explanation:
3.8 liters are in one gallon so if you were to convert them, you would have to divide the liters by how many liters it takes to convert into a gallon,
So the answer is 23.25 G
Hope this helps! :)
I WILL MARK AS BRAINLIEST!!!!
Answers
Answer:
1. 795, 23
2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins
3. $276, 71 cars
Step-by-step explanation:
1. your equation: y = 35x + 235
plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235
you get y = 795
for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x
your equation: 1024 = 35x + 235
solve to get x = 22.54
this rounds up to 23, so your answer is 23
2. multiply 8 times 4 to get 32
subtract 32 from 82 to fin how many she has left
you get 50
for the second part, divide 82 by 4 to find how many day it will take to finish her candy
you get 20.5
so no, she will not have candy to share with her cousins, and she will finish her candy on November 21
3. for this, you have a negative y intercept since you need to make $24 to start profiting
your equation: y = 6x - 24
plug in 50 to x: y = 6(50) - 24
you get y = 276
so you make $276 with 50 cars
for the second part, plug in 400 to y: 400 = 6x - 24
solve to get x = 70.66
this rounds up to 71, so your answer is 71
Hi, I'm new, please can you help me with these math exercises Thank you very much
:3 given the algebraic fraction p (x) 2x2-2x determine its numerical value for x: 3 3x-1 given the algebraic fraction p (xy) - 3xy-y2 + x xy- + determine its numerical value for x- {3 y- {2 p (x, y) part 2: perform the following exercises by factoring a) b8 p4 + b: up3 -12 b7 p2 + 15u2 + b3 p5: b ) 32 p2 -24 p3 + 16 p2 -8 p4: part 3: perform the following equations a) 4x + 5 + 2: 3x-2 + 5b) 2-9x + 6: 2x-4x-6c) 3x-5 + 2: 2 + 4x-3d) bx-5x + 4: 3x + 5x + 2
thank you
Answers
Kelly grows potatoes.
She has 2500 kg of potatoes, correct to the nearest 10kg.
Kelly is going to put the potatoes into sacks.
Each sack will contain 12. 5 kg of potatoes.
Kelly assumes that 12. 5 kg is measured correct to the nearest 0. 1 kg.
(a) Does Kelly definitely have enough potatoes to fill 200 sacks?
You must show how you get your answer
Answers
Kelly fill 200 sacks with the weight of 2000 kg potatoes and in each sack, she can fill up to 12.5 kg of potatoes.
What is weight?The gravitational attraction of an item near the Earth or another celestial body toward the center of the body. The weight of an item is determined by its mass and the strength of the gravitational force. We use the following generic formula to compute weight: W = mg. Where 'W' is the object's weight,'m' is the object's mass, and 'g' is the acceleration due to gravity. The value of g on Earth is 9.8 m/s2. The most frequent definition of weight is the force imposed by gravity on a body.
Here,
weight of potatoes she has=2500 kg
weight of each sack that contain the potatoes=12.5 kg
with this, she can fill,
=2500/12.5
=200 sacks
Kelly fills 200 sacks with 2000 kg of potatoes, and each sack can hold up to 12.5 kg of potatoes.
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How are these triangles congruent
Answers
Answer:
Step-by-step explanation:
I think it's B
i need help on this problem
Answers
When we add 6000 kilograms of water to the pool, it will hold around 18,000 kilos of water and have a depth of about 1/3 meter.
a. We must first determine the capacity of the pool in order to determine how many kilos of water are present there. The volume of a rectangular prism can be calculated by multiplying its length, width, and height (or depth).
Length = 6 meters
Width = 3 meters
Depth = 1 meter
Volume = Length x Width x Depth
Volume = 6 meters x 3 meters x 1 meter
Volume = 18 cubic meters
Therefore, the weight of 18 cubic meters of water is:
Weight = Volume x Density
Weight = 18 cubic meters x 1000 kilograms/cubic meter
Weight = 18,000 kilograms
The weight of water in the pool is 18000 kilograms.
b. Calculate the new water depth in the pool if 6000 kg of water are added. Additional weight of water = 6000 kilograms
To find the new depth, we can divide the additional weight of water by the area of the base of the pool, which is the length multiplied by the width.
Base area = Length x Width
Base area = 6 meters x 3 meters
Base area = 18 square meters
New depth = Additional weight / Base area
New depth = 6000 kilograms / 18 square meters
New depth ≈ 333.33 meters/square meter
Therefore, the water is about 333.33 meters deep (or approximately 1/3 of a meter deep) when you add 6000 kilograms of water to the pool.
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A lorazepam injection contains 4 mg of lorazepam per milliliter. calculate the ratio strength
Answers
To calculate the ratio strength of a medication, we compare the amount of active ingredient (lorazepam in this case) to the total volume of the medication.
In this case, the lorazepam injection contains 4 mg of lorazepam per milliliter.
Therefore, the ratio strength can be calculated as:
Ratio Strength = Amount of Active Ingredient / Total Volume
In this case, the amount of active ingredient is 4 mg, and the total volume is 1 mL.
Ratio Strength = 4 mg / 1 mL
Thus, the ratio strength of the lorazepam injection is 4:1 (4 to 1) or 4.
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the expected value is equal in mathematical computation to the ____________
Answers
The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.
The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.
For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:
1 * 1/6 = 1/62 * 1/6 = 2/63 * 1/6 = 3/64 * 1/6 = 4/65 * 1/6 = 5/66 * 1/6 = 6/6Summing up these values gives us:
1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5
Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.
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Which of the following correctly identifies the dependent variable and the independent variable for the experiment?
Answers
The correct identification of the dependent variable and the independent variable for the experiment is valid experiment.
Independent variable: The variable that is being changed or manipulated in an experiment is called the independent variable. The experimenter modifies the independent variable to observe its effect on the dependent variable.
Dependent variable: The dependent variable is the variable that is being measured and observed in an experiment. It is dependent on the independent variable because it changes as a result of the manipulation of the independent variable.
Therefore, To carry out a valid experiment, it is crucial to accurately identify the dependent variable and independent variable.
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What is a example of an irrational ?
Answers
Answer:
The example of irrational are; 0.3030030003..... , 22/7 and others.
Step-by-step explanation:
Factor each expression complete.
4x^2+ 8x + 3
Answers
Answer:
(2x+1)(2x+3)
Step-by-step explanation:
I am not sure
please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
Answers
Answer:
6.5
Step-by-step explanation:
9.1^2-6.4^2 is 41.85
square root of that is 6.469...
Use the formula for the sum of the first n integers to evaluate the sum given below, then write it in closed form. A) 6 + 7 + 8 + 9 + ... + 500
Answers
Answer:
125235
Step-by-step explanation:
There are n=495 integers from a₁=6 to aₙ=500:
\(\displaystyle S_n=\frac{n}{2}(a_1+a_n)\\\\S_{495}=\frac{495}{2}(6+500)\\\\S_{495}=(247.5)(506)\\\\S_{495}=125235\)
Therefore, the sum of the integers will be 125235
The location of Avenger's Tower is important to the safety of our planet. Steve, Natasha, and Bruce happen to all live equidistant from each other. Since Tony is filthy rich and can buy whatever he wants, he has decided to place the tower somewhere between
their houses. Where in this triangle should the tower be located and why? Geometrically, how could you find this spot? (Assume that no super powers or tech will assist these 3 Avengers when they travel to the tower)
Answers
Step-by-step explanation:
it should be located at the midpoint of the triangle.
it is because it is equidistant from all their houses so that they travel the same distance before reaching the tower.
I love marvel comics
find the centre of each line of the triangle then join into its corresponding opposite Vertex then where are the three lines intersect is the midpoint
Is the curve r = 3 + 3sin θ symmetrical to the polar axis? Justify your answer algebraically.
Answers
ANSWER
It is not symmetrical to the polar axis
EXPLANATION
To show that the curve
\(\text{ To show that the curve r = 3 + 3 sin }\theta\text{ is symmetrical to the polar axis, replace }\theta\text{ by -}\theta\)\(if\text{ r \lparen}\theta)\text{ = r \lparen-}\theta),\text{ then, the curve is symmetrical, otherwise it is not symmetrical}\)\(\begin{gathered} r(\theta)\text{ = 3 + 3 sin }\theta \\ r(-\theta)\text{ = 3 + 3sin\lparen-}\theta) \\ Since\text{ sine is an odd function, sin\lparen-}\theta)\text{ = - sin }\theta \\ r(-\theta)\text{ = 3 - 3sin }\theta \\ Since\text{ r\lparen}\theta)\ne\text{ r\lparen-}\theta),\text{ the curve r = 3 + 3 sin }\theta\text{ is not symmetrical to the polar axis} \end{gathered}\)x f(x) = −x2 + x + 6
−2 a
−1 4
0 b
1 6
2 c
Answers
Answer:
-2
Step-by-step explanation:
A=cb+db-e solve for c.
Answers
a = cb+db-e
/b /b
____________
a/b= c+d-e
- d
___________
a/b - d = c-e
+ e
___________
a/b - d +e= c
c is equal to the expression (A - db + e) divided by b
To solve for c in the equation A = cb + db - e, we can isolate the variable c on one side of the equation. We begin by subtracting db and adding e from both sides to eliminate those terms:
A - db + e = cb
Next, we rearrange the equation by swapping the positions of cb and A:
cb = A - db + e
Finally, we divide both sides of the equation by b to solve for c:
c = (A - db + e) / b
Therefore, c is equal to the expression (A - db + e) divided by b. By isolating c, we can now calculate its value based on the given values for A, b, d, and e.
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Triangle ABC was reflected across the line y = X and then rotated 90 ° around an unknown point to form
Triangle A"B"C". What was the point of rotation? Explain.
Answers
In either instance, once we've located the point of rotation, we can test it triangle by seeing if rotating any point in A'B'C' by 90 degrees around this point gives us the matching point in A"B"C".
What precisely is a triangle?A triangle is a polygon because it has four or more sections. It features a simple rectangular shape. A triangle ABC is a rectangle with the edges A, B, and C. When the sides are not collinear, Euclidean geometry produces a single planar and cube. A square is a rectangle if it has three functions and three angles. The corners are the points where the three edges of a triangle meet. The sides of a triangle sum up to 360 °.
Triangle A'B'C' denotes the reflection of triangle ABC across the line y = x. The point is obtained by reflecting a point (x,y) across the line y = x. (y,x). As a result, by swapping the x and y coordinates of A, B, and C, the coordinates of A', B', and C' may be determined.
Consider the 90-degree rotation of triangle A'B'C' around an unknown point.
In either instance, once we've located the point of rotation, we can test it by seeing if rotating any point in A'B'C' by 90 degrees around this point gives us the matching point in A"B"C".
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Which of the following correctly translates "quotient"?
A. addition
B. division
C. multiplication
D. subtraction
Answers
Answer:
B. division
Step-by-step explanation:
quotient is the result of a division
Answer: B. division
O
What is the quotient?
2m+4 m+2
8
6
24
(m+ 2)²
(m+ 2)²
24
2/3
312
Answers
The quotient of (2m + 4)/(m + 2) is 2.
How did we get the value?The quotient of (2m + 4)/(m + 2) is 2. This can be simplified as follows:
Starting with the numerator: 2m + 4
And the denominator: m + 2
We can simplify the numerator by combining like terms: 2m + 4 = 2m + 2 + 2 = 2(m + 2)
So the expression becomes: 2(m + 2)/(m + 2)
Now, since the numerator and denominator have the same value, the expression simplifies to 2.
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There are 20 classes at each of two middle schools. The number of students in each class at each school is shown in the dot plots below.
Number of Students in Each Class at Poplar Middle School
A dot plot titled Number of Students in Each Class at Poplar Middle School. A number line going from 20 to 29 labeled Number of students. There are 3 dots above 20, 5 above 21, 7 above 22, 4 above 23, 1 above 24, and 0 above 25, 26, 27, 28, and 29.
Number of Students in Each Class at Oak Middle School
A dot plot titled Number of Students in Each Class at Oak Middle School. A number line going from 20 to 29 labeled Number of students. There is 1 dot above 20, 2 above 21, 2 above 22, 4 above 23, 3 above 24, 2 above 25, 2 above 26, 2 above 27, 1 above 28, and 1 above 29.
What is the difference between the medians in the dot plots?
0
2
3
5
Answers
Answer:
Im sorry for the idiots that stole points, the answer is B.
Step-by-step explanation:
Answer:
the answer is in fact B but pls dont mark me brainliest or anything like that b/cause i answered second. :)
Step-by-step explanation: