Answer:
a. Alice’s claim is correct.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval is inversely proportional to the sample size. This means that a smaller sample size leads to a smaller margin of error and a narrower interval, while a larger sample size leads to a larger margin of error and a wider interval.
Alice claims that a sample size of 25 will produce a narrower interval
25 > 20, so smaller margin of error and narrower interval, which means that Alice is correct.
Desmond claims that a sample size of 15 will produce a narrower interval.
15 < 20, so larger margin of error and wider interval, which means that Desmond is wrong.
So the correct answer is given by option a.
PLEASE HELP 11 POINTS FOR THE CORRECT ANSWER
Answer:
[tex]\sqrt{43}[/tex]
Step-by-step explanation:
6. Priya can type 40 words per minute. Typing at that same rate, about
how many words can she type in 30 minutes?
Answer:
1200
Step-by-step explanation:
40 x 30=1200
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The radius is 8 and the height is 3
Answer:
Rounded to the nearest hundredth, the volume of the cylinder is 603.19.
Step-by-step explanation:
There really isn't an explanation to this, so my apologies if you need one.
I hope I helped you, and a "Brainliest" is always appreciated! ☺
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Answer:
192π ≈ 603.19 cubic units384π ≈ 1206.37 cubic unitsStep-by-step explanation:
The volume of a cylinder is given by the formula ...
V = πr²h
For the given radius and height, the volume is ...
V = π(8)²(3) = 192π ≈ 603.19 . . . . cubic units
When the height is doubled, the volume is doubled:
V = π(8)²(6) = 384π ≈ 1206.37 . . . . cubic units
Sophie invested $93,000 in an account paying an interest rate of 5.6% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $170,500?
Answer:
11
Step-by-step explanation:
Need help fast!! Need steps also
Answer:
arc AB = 3.14 in
Step-by-step explanation:
circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in
arc AB = (30°/360°)(37.68) = 3.14 in
Mopeds (small motorcycles with an engine capacity below 50 cm^3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.8 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped.
Required:
a. What is the probability that maximum speed is at most 49 km/h?
b. What is the probability that maximum speed is at least 48 km/h?
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?
Answer:
a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h
b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h
c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean value 46.8 km/h and standard deviation 1.75 km/h.
This means that [tex]\mu = 46.8, \sigma = 1.75[/tex]
a. What is the probability that maximum speed is at most 49 km/h?
This is the pvalue of Z when X = 49. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49 - 46.8}{1.75}[/tex]
[tex]Z = 1.26[/tex]
[tex]Z = 1.26[/tex] has a pvalue of 0.8962
1 - 0.8962 = 0.1038
0.1038 = 10.38% probability that maximum speed is at most 49 km/h.
b. What is the probability that maximum speed is at least 48 km/h?
This is 1 subtracted by the pvalue of Z when X = 48. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48 - 46.8}{1.75}[/tex]
[tex]Z = 0.69[/tex]
[tex]Z = 0.69[/tex] has a pvalue of 0.7549
1 - 0.7549 = 0.2451
0.2451 = 24.51% probability that maximum speed is at least 48 km/h.
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?
Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5
Z = 2.5 has a pvalue of 0.9938
Z = -2.5 has a pvalue of 0.0062
0.9938 - 0.0062 = 0.9876
0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations
The length of a rectangle is 20 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer
Answer:
48
Step-by-step explanation:
find the size of each sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want a 95% confidence level and that the error is smaller than 0.03.
Answer:
sample
Step-by-step explanation:
Can someone please help me I will mark u brilliant
Answer: The answer is 84 cubic feet.
Step-by-step explanation:
V= l*w*h
V=14*12*1/2
V= 84
Write the equation that results from transmitting the absolute value equation down 4. Y=|x|
Answer:
y = |x| - 4
Step-by-step explanation:
this translates the function y down by 4 as is required
A snow storm hit Sanford with 7 inches of snow in 28
hours. What was the rate of the snowfall in inches per
hour?
Answer:
.25 in per hour
Step-by-step explanation:
you just divide 28/7 and you get the per hour and you can double check your work by doing .25 * any hour until you get 28
Answer:
it will be 4 inches per hour
Step-by-step explanation:
to find unit rate you will divide 28 and 7 and will get 4
Madison was given a large box of 48 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?
Answer:
The answer is 23 chocolates
Step-by-step explanation:
You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23
Does this line represent a positive or negative slope?
How do you know?
only answer if you really know the answer !
Answer:
positive it is moving to the positive side of the graph
In triangle ABC, the measure of angle B is 50 degrees.
Give possible values for the measures of angles A and C if ABC is an acute triangle.
LCM OF (2^3×3×5) and (3×5) is
(a)8
(b)120
(c)40
(d)180
Answer:
120
Step-by-step explanation:
2³* 3 * 5
3*5
LCM = 2³ * 3 * 5 = 8 * 3 * 5 = 120
Find ? (inscribed angle)
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Answer:
90°
Step-by-step explanation:
The inscribed angle is half the measure of the arc it subtends. A semicircle is an arc of 180°. Half that is 90°.
? = 90°
Which of the following is not true when using the confidence interval method for testing a claim about μ when σ is unknown? Choose the correct answer below. A. The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results. B. The P-value method, the traditional method, and the confidence interval method are equivalent and yield the same results. C. For a two-tailed hypothesis test with a 0.05 significance level, one must construct a 95% confidence interval. D. For a one-tailed hypothesis test with a 0.05 significance level, one must construct a 90% confidence interval.
Answer:
The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )
Step-by-step explanation:
The False statement about using the confidence interval method when testing a claim about μ when σ is unknown is ; The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results
This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.
Find the missing side lengths. Leave your answers as radicals in simplest form.
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Answer:
x = 18y = 9Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are ...
1 : √3 : 2
In the same order, the given side lengths are ...
y : 9√3 : x
Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:
9(1) : 9√3 : 9(2) = y : 9√3 : x
Then y = 9·1 = 9, and x = 9·2 = 18.
The missing side lengths are x = 18, y = 9.
Advanced Calculation Question:
Your patient weighs 150 kg. The ordered dose is 3 mEq/kg/hour to be given over 1 hour. The available
the medication is 1 mEq/mL. Over a one hour period _mL will be administered.
Birth control pills have a theoretical annual efficacy of 99.5%, but a real-worls efficacy of only 95%. If a college student takes the pill for the four years she is in college, what is the probability that she will become pregnant at least once using the real world efficacy rate?
A. 0
B. 0.005
C. 0.020
D. 0.185
Answer: In my opinion B. 0.005 is the correct answer
Step-by-step explanation:
hope it help youClassify the angle pair using all names that apply
Answer:
Adjacent
Step-by-step explanation:
∠3 and ∠4 share a common vertex & arm
Is this linear, exponential growth, exponential decay, or neither?
Answer:
Linear Exponential Decay.
Step-by-step explanation:
It is linear exponential decay,
it is decreasing by -7,
everytime x goes up 1, y goes down -7,
this line has a slope of -7/1.
Slope: -7x
y-intercept: (0,2)
what is the slope of the line that passes through the points (5,3) and (-4,1)
Answer:
x = 1
y . =2
slope =
[tex]\frac{y}{x} \\\\\frac{2}{1} \\\\Slope = 2[/tex]
Step-by-step explanation:
Which expressions are equivalent to 6x−18 ?
Answer:
x + 5x - 18, 3(2x - 6), 2(3x - 9).
Step-by-step explanation:
x + 5x - 18
6x - 18
x + x + x - 10 - 8
3x - 10 - 8
3x - 18
3(2x - 6)
6x - 18
2(3x - 9)
6x - 18
6(x - 18)
6x - 108
The expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Solve all the given options,
Option A,
x + 5x - 18
6x - 18
Option, B
x + x + x - 10 - 8
3x - 10 - 8
3x - 18
Option, C
3(2x - 6)
6x - 18
Option,D
2(3x - 9)
6x - 18
Option,E
6(x - 18)
6x - 108
Therefore, the expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.
To know more about an expression follow
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How many 10ths equivalent to 3/5
Answer: 6 tenths
Step-by-step explanation:
3/5 = 6/10 (multiply by 2)
Please help me solve this problem and explain the steps
Answer:
1086ft squared
Step-by-step explanation:
Find the inverse of each function
1. f(x) = 4/(x+2) - 2
2. f(x)= -2x^5 - 3
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Answer:
1. f^-1(x) = 4/(x+2) -2
2. f^-1(x) = (-(x+3)/2)^(1/5)
Step-by-step explanation:
1. As with all "inverse function" problems, solve for y:
x = f(y)
x +2 = 4/(y +2) . . . . add 2
y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)
y = 4/(x+2) -2 . . . . . subtract 2
We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.
f^-1(x) = 4/(x+2) -2
__
2. x = f(y)
x +3 = -2y^5 . . . . add 3
-(x +3)/2 = y^5 . . . . . divide by 2
(-(x +3)/2)^(1/5) = y . . . . take the 5th root
f^-1(x) = (-(x +3)/2)^(1/5)
In typeset form, that is ...
[tex]\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}[/tex]
This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.
_____
The graphs show the function and inverse are symmetrical about the line y=x, as they should be.
What’s the answer helpppp
Answer:
the answer would be the second one
Answer:
Second choice
Step-by-step explanation:
18=2x9
9=3^2
X^7=(x)x^6)
root 18x^7
=3x^3root 2x
Which system of equations has a solution of (-2,0,1)
The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The system of the equations that has a solution of (-2, 0, 1) will be
Let the number of variables be x, y, and z.
Then we have
Then the first equation will be
x + y + z = -1
Then the second equation will be
x + y + 2z = 0
Then the third equation will be
x + 2y + 3z = 1
More about the linear system link is given below.
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Please help me with this ASAP ASAP please please help
Answer:
Step-by-step explanation:
Base perimeter : 4 x 2 x π = 8π cm
LA = 8π x 4 = 32π cm^2
Base area: 4^2 π = 16π cm^2
SA = 2 x 16π + 32 = 64π cm^2
V = 16π x 4 = 64π cm^3