I'm sorry i don't know :(
A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-84 calculator.
Part 1 Find the probability that x will be more than 25. Round the answer to at least four decimal places. The probability that x will be more than 25 is_______ .
Part 2 Find the 55th percentile of x. Round the answer to two decimal places. The 55th percentile is_________ .
Answer:
1. The probability that x will be more than 25 is 0.6305.
2. The 55th percentile is 26.38.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
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 26 and standard deviation 3.
This means that \(\mu = 26, \sigma = 3\)
1 Find the probability that x will be more than 25.
This is 1 subtracted by the p-value of Z when X = 25. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{25 - 26}{3}\)
\(Z = -0.333\)
\(Z = -0.333\) has a p-value of 0.3695.
1 - 0.3695 = 0.6305.
The probability that x will be more than 25 is 0.6305.
2 Find the 55th percentile of x.
This is X when Z has a p-value of 0.55, so X when Z = 0.125.
\(Z = \frac{X - \mu}{\sigma}\)
\(0.125 = \frac{X - 26}{3}\)
\(X - 26 = 0.125*3\)
\(Z = 26.38\)
The 55th percentile is 26.38.
If the square root of 20% of B equals 24, what is the value of B?
Answer:
B = 2880
Step-by-step explanation:
You want to find B when ...
√(0.2B) = 24
0.2B = 576 . . . square both sides
B = 2880 . . . . divide by 0.2
is 2/3 a rational number?
Answer:
Yes
Step-by-step explanation:
A number that can be written as a ratio of two integers, of which denominator is non-zero, is called a rational number.
Therefore 2/3 is a rational number.
Use the diagram to complete the statements.
This is circle .
If the distance from A to C is 6 units, then the distance from C to B is units.
A circle is a curve sketched out by a point moving in a plane. If the distance from A to C is 6 units, then the distance from C to B is 6 units.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
If the distance from A to C is 6 units, then the distance from C to B is 6 units. This is because AC and BC are the radii of the circle, therefore, both are equal to each other.
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Answer: c and 6
Step-by-step explanation:
Margaret and her brother were having a contest to see who could stare the longest without blinking. Margaret lasted for 24 1/6 minutes. If her brother didn’t blink until 20 1/30 minutes passed, then she lasted____ minutes longer than her brother?
Answer:
04 0/24 because I just want brainliest
the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone
Answer:
Step-by-step explanation:
V = 3.9V
I = 0.12A
Ohm's Law, V = IR
Rearranging Ohm's Law, R = V/I
R = 3.9/0.12 = 32.5Ω
please help. thank you
Answer: what do need help on
Step-by-step explanation:
to determine whether families with children would use school vouchers to send their children to charter schools, from which of the following populations should you select a sample?
Parents of children under the age of 18.
It is seldom feasible to get data from every member of a group of individuals when conducting research on them. In its place, you pick a sample. The population that will actually take part in the study is the sample. It is referred to as a sampling method. You can use one of the following two main sampling techniques in your study:
Random selection is a key component of probability sampling, which enables you to draw robust statistical conclusions about the entire group.
Non-probability sampling entails non-random selection based on practicality or other factors, making it simple to gather data.
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Which answers are examples of the Law of Detachment? select all that occur If two angles are vertical angles, then they have the same measure. Angle A and angle B are vertical angles. So, the measure of angle A is equal to the measure of angle B. If an object is a square, then it is a rhombus. If it is a rhombus, then it is a quadrilateral. Therefore, if an object is a square, then it is a quadrilateral. Jonathan’s cars are all white. Sarah is driving one of Jonathan’s cars. Therefore, Sarah is driving a white car. If it snows tomorrow, then my dentist appointment will be canceled. If my dentist appointment is canceled, then I will clean under my bed. Therefore, if it snows tomorrow, then I will clean under my bed.
The law of detachment is a set of three sentences, such that:
Sentence 1 is a statement of the form If p, then q
Sentence 2 is a statement of the form p
Sentence 3 is a conclusion of the form q
Let's see which of the options follow the pattern indicated above:
Option A: If an object is a square, it is a parallelogram. The object is a square. The object is a parallelogram. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.
Option B: If two angles are linear pairs, the angles are supplementary. The two angles are linear pairs. Therefore, the angles are supplementary. - DOES NOT MATCH THE ABOVE PATTERN.
Option C: If it is snowing, the play will be cancelled. If the play is cancelled, the theater will refund the cost of admission. Therefore, if it is snowing, the theater will refund the cost of admission to the play. - DOES NOT MATCH THE ABOVE PATTERN.
Option D: If it is snowing, the play will be cancelled. It is snowing. Therefore, the play is cancelled. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.
Hence, option A and option D are examples of the Law of Detachment.
Answer:
If two angles are vertical angles, then they have the same measure. Angle A and angle B are vertical angles. So, the measure of angle A is equal to the measure of angle B.
Step-by-step explanation:
I gotchu
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings. 43 + 72x ≤ 1,128 43 + 72x ≥ 1,128 43x + 72 ≥ 1,128 43x + 72 ≤ 1,128
Answer:
The answer is 24. First 1128 - 72 equals 1056 then divide by 43 which equals 24.55 but u cant buy 24.55 VD so its just 24
Step-by-step explanation:
How many times does 1/2 go into 3/4
Answer:
1/2 goes into 3/4 1 1/2 or 1.5 times
Step-by-step explanation:
What is the value of x in this proportion?
56=−4x+2
Responses
x=−2 4/5
x equals negative 2 and 4 over 5
x=−4 2/5
x equals negative 4 and 2 over 5
x=−5 1/5
x equals negative 5 and 1 over 5
x=−6 4/5
x equals negative 6 and 4 over 5
The value of x or the expression 56 = -4x + 2 is -27/2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
56 = -4x + 2
Solve for x.
56 = -4x + 2
Subtract 2 on both sides.
56 - 2 = -4x
54 = -4x
Divide -4 into both sides.
-54/4 = x
x = -54/4
x = -27/2
x = -13(1/2)
Thus,
The value of x is -27/2.
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Hi can somebody pllsss tell me the answer
Answer:
choice 3
Step-by-step explanation:
Answer:
Fourth Option
Step-by-step explanation:
The perimeter of a shape is all sides added. So, if you do 2x + 2x + (x+1) + (x+1), you would get 6x+2. To get the answer to the question, you verify to see which one of the options equal to 6x+2.
First option:
2x(x+1) and 2(2x) + 2(x+1). You find what this equals. 2x(x+1) = 2x^2+2x so we can automatically elimate this one.
Second option:
2x(x+1) and 2x+2x+2x+1. Here again you see 2x(x+1) which equals 2x^2+2x and is not correct so we eliminate this.
Third option:
4x(2x+2) and 2x(x+1) + 2x(x+1). Once more you see 2x(x+1) but added to 2x(x+1) which would basically equal 2x^2+2x *2. Therefore, it's not this one.
Fourth option:
6x+2 and 2x+(x+ 1) +2x + (x+ 1). Now this one looks right because we already got 6x+2 and this is the only option that presents that but also because we initially solved 2x + 2x + (x+1) + (x+1) and this equals 2x+(x+ 1) +2x + (x+ 1).
I guess you don't really have to solve each of them you can kinda see and tell that the last one seems right but if you're not sure you should use the process above.
I hope this helped!
Help me out with this mathematic question please
Answer:
The answer is 95°!
Step-by-step explanation:
180°-60°-25°= 95°
Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand B. Of all these soft drink consumers, 20% prefer Brand A and are female, and 40% prefer Brand B and are female. What is the probability that a randomly selected consumer is female, given that the person prefers Brand A? A. 0.18 B. 0.21 C. 0.34 D. 0.67
Answer:
The answer to this question should be D. 0.67
Hope this helped.
What is the area of the right triangle below?
Answer: The answer is a 25 square units
Step-by-step explanation:
M=−8r
2
+11r−6
T=−7r
2
−9r+14
M
+
T
=
M+T=M, plus, T, equals
Your answer should be a polynomial in standard form.
M + T in standard form polynomial is -15r² + 2r + 8
How to represent polynomial in standard form?Polynomial in standard is when all its terms are arranged by decreasing order of degree.
Therefore,
M = - 8r²+ 11r - 6
T = -7r² - 9r + 14
M + T = - 8r²+ 11r - 6 + (-7r² - 9r + 14)
M + T = - 8r²+ 11r - 6 - 7r² - 9r + 14
combine like terms
M + T = - 8r² - 7r² + 11r - 9r - 6 + 14
In standard form, the polynomial is represented as follows;
M + T = -15r² + 2r + 8
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Question 14 (Essay Worth 12 points)
(Comparing Data HC)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Sky View School
9, 7, 2,0
8, 7, 6, 5, 5, 5, 4, 3, 1, 0
0
1
South Lake School
5,8
0, 1, 2, 6, 6, 8
2
0 3
Key: 2|1|0 means 12 for Sky View and 10 for South Lake
5, 5, 6, 7, 8
0,6
Part A: Calculate the measures of center. Show all work. (5 points)
Part B: Calculate the measures of variability. Show all work. (5 points)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (2 points)
7
a certain componnt for newly developed electronic disel engine is considered to be defective if its diameter is less than 8.0 mm or greater than 10.5mm. the distribution of the diameters of these parts is known to be normal with mean of 9.0 mm and standard deviation of 1.5 mm.if a component is randomly selected what is probability that it will be defective?
Answer:
The probability is 0.58992 or simply 0.59
Step-by-step explanation:
We start by getting the z-scores of the diameter
we have this as follows;
Mathematically;
z-score = (x-mean)/SD
mean = 9.0 mm
SD = 1.5 mm
For 8.00 mm, we have
z = (8-9)/1.5 = -0.67
For 10.5 mm, we have
z = (10.5-9)/1.5 = 1
So the probability we want to calculate is;
P( 1 < x < -0.67)
we can calculate this using the standard normal distribution table
We have this as ;
P( x < -0.67) - P( x > 1) = 0.58992
Can someone help please
ASAP
Answer:
see explanation
Step-by-step explanation:
using the tangent ratio in the right triangle
tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then
∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )
tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then
∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )
AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )
Kyla earns $21 per hour tutoring student-athletes at Eastern University. If Kyla tutored for 12 hours this month, how much money did she earn this month?
Answer: $252
Step-by-step explanation:
21$ an hour x 12 hours = $252 total :)
Answer:
She earned $252 thsi month.
Step-by-step explanation:
1 hour = $21
12 hours = $?
21*12 = 252
Kate is the captain of a large cruise ship. As she
drives the ship, she sits 50 meters above the sea.
Paul is the captain of a boat. He sits 15 meters
above the sea. If the radius of the earth is
6,371,000 meters, how much further can Kate see
across the horizon than Paul?
here are the first few questions the rest are in the picture.
1.Show me that you understand the problem. restate it in your own words and identify the important information.
2. what is your prior knowledge and what tools do you have to solve this problem?
a. Draw two diagrams, one for Kate and one for Paul. Include important numbers. Insert your diagrams into your answer.
The amount further by which Kate can see across the horizon than Paul is; 3.33 times farther
How to use volume of a cone in applications?Formula for volume of a cone is;
V = ¹/₃πr²h
For Kate:
Height (h) = 50 m
Radius (r) = 6,371,000 m
Thus;
V = ¹/₃ * π * (6,371,000)² * 50
V = 2.12526863 × 10¹⁵ m³
To determine how much further can kate see across the horizon than Paul, we have:
⇒ (2.12526863 × 10¹⁵ m³)/6.3758059 × 10¹⁴ m³
= 3.33 times further.
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Which of these whole numbers is an odd number?
376
79
254
92
1,358
Answer:
79 is an odd number
Step-by-step explanation:
Hope It help's u :))!
Answer:
79 is an odd number..
Step-by-step explanation:
Hope it helps you
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Help me with this answer please!
I need help!! Please help me
Which number expresses 6.72 as a fraction in simplest from?
10x^3 - 25x^2 + 20
How to factor this
5(2x^2-x-2)(x-2)
Step-by-step
Answer: \(5(\frac{10x^3}{5}+\frac{-25x^2}{5}+\frac{20}{5}) \\\\5(2x^3-5x^2+4)\\\\5(2x^2-x-2)(x-2)\)
North Dakota has 465 campgrounds over 12 counties while West Virginia has 711 campgrounds. If North Dakota was proportional to West Virginia in the number of campgrounds to counties, how many counties would West Virginia be expected to have? Round to the nearest whole number.
Number of countries would west Virginia be expected to have is 18 countries
The number of campgrounds that North Dakota has = 465 campgrounds
The number of countries = 12 countries
The number of campgrounds that West Virginia has = 711 campgrounds
Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.
The proportion will be
465 / 12 = 711 / x
Divide the terms
38.75 = 711 / x
x = 711 / 38.75
Divide the terms
x = 18.4
x ≈ 18 countries
Hence, number of countries would west Virginia be expected to have is 18 countries
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Write a statement describing how to find the x-intercept from an equation.
The value of [x] - intercept, if the equation of line is :
y = mx + c is x = -c/m.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the [x] - intercept.
In order to find the [x] - intercept, assume that the equation of line is :
y = mx + c
Put [y] = 0, then the value of [x] will be the [x] - intercept as -
0 = mx + c
x = -c/m
Therefore, the value of [x] - intercept, if the equation of line is :
y = mx + c is x = -c/m.
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Average movie prices in the United States are, in general, lower than in other countries. It would cost
$79.45 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two
tickets in Japan would cost $76.10. How much does an average movie ticket cost in each of these
countries?