Answer:
23/50
Step-by-step explanation:
11/20=0.55
23/50=0.46
0.5-0.46=0.04
0.543-0.5=0.043
0.5-0.458=0.042
Select all of the following true statements if R = real numbers, I = integers, and W = {0, 1, 2, ...}.
Answer and Step-by-step explanation:
We will begin to solve this problem by defining first what the sets' elements really are.
R consists of real numbers. This means that this set contains all the numbers, rational or not.
Z is composed of whole numbers. Integers include all negative and positive numbers as well as zero (it's basically a set of whole numbers and their negated values).
W, on the other hand, has 0,1,2, and its elements are onward. Those numbers are referred to as whole numbers.
W ⊂ Z is TRUE. Z contains all the numbers as stated earlier, and W is a subset of it.
R ⊂ W is FALSE. Not all numbers are complete numbers. Complete numbers must be rational and represented fractionless. These requirements are not met by those real numbers.
0 ∈ Z is TRUE. Zero is just an integer so it is a component of Z.
∅ ⊂ R is TRUE. A set i.e null be R subset, and each and every set is a general set. Moreover, there were not single elements in a null set, so it spontaneous became a non empty set subset through description as there is no element of R.
{0,1,2,...} ⊆ W is TRUE. The set on the left is precisely what is specified in the statement for problem for W. (The bar below the subset symbol simply implies that the subset is not rigid, because the set on the left may be equal to the set on the right. Without it, the argument would be incorrect, because a strict subset needs that the two sets not be identical).
-2 ∈ W is FALSE. W's only made up of whole numbers and not their negated equivalents.
According to an airline, flights on a certain route are on time 85% of the time. Suppose 20 flights are randomly selected and the number of on-time flights is recorded.
(a) Explain why this is a binomial experiment
(b) Find and interpret the probabdity that exadly 15 flights are on time.
(c) Find and interpret the probability that fewer than 15 flights are on time.
(d) Find and interpret the probability that at least 15 flights are on time.
(e) Find and interpret the probability that between 13 and 15 flights, inclusive, are on time.
(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.
A. Each trial depends on the previous trial
B. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late.
C. The experiment is performed unti a desired number of successes is reached
D. The trials are independent.
E. The probability of success is the same for each trial of the experiment.
F. There are two mutually exclusive outcomes, success or failure.
G. The experiment is performed a fixed number of times.
Answer:
See the answers below. Thanks!
Step-by-step explanation:
(a). Option F is the correct choice. "There are two mutually exclusive outcomes, success or failure."
(b). P(X=15) = 0.1702
(c). P(X<15) = 0.0673
(d). P(X>=15) = 1 - P(X<15) = 0.9327
(e). P(13<=X<=15) = 0.1482
Best Regards!
Three solid shapes, A B and C are similar. The surface area of shape A is 9cm² The surface area of shape B is 16cm² The ratio of the volume of shape B to shape C is 27:125 Work out the ratio of the height of shape A to shape B Give your answer in its simplest form.
Answer:
9:20
Step-by-step explanation:
The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures.
If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)².
Therefore, (A/B )² = 9/16
square root both sides A/B = √9/√16 A/B = 3/4 A:B = 3:4
The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures.
Therefore, (B/C)³ = 27/125 cube root both sides B/C = 3/5 B:C = 3:5
To make the ratio equivalent A:B:C = 9:12:20
A:C = 9:20
4x - 23
(8x + 3x + 5x2)
Answer:
Let's simplify step-by-step.
[tex]4x^4-2x^3-(8x^4+3x^3+5x^2)[/tex]
Distribute the Negative Sign:
[tex]4x^4-2x^3+-1(8x^4)+-1(3x^3)+-1(5x^2)[/tex]
[tex]4x^4+-2x^3+-1(8x^4)+-1(3x^3)+-1(5x^2)[/tex]
[tex]4x^4+-2x^3+-8x^4+-3x^3+-5x^2[/tex]
Combine Like Terms:
[tex]4x^4+-2x^3+-8x^4+-3x^3+-5x^2[/tex]
[tex](4x^4+-8x^4)+(-2x^3+-3x^3)+(-5x^2)[/tex]
[tex]-4x^4+-5x^3+-5x^2[/tex]
Answer:
[tex]-4x^4-5x^3-5x^2[/tex] This is the answer
I hope this help you :)
Determine whether the distribution is a probability distribution. x 0 1 2 3 4 5 P(x) StartFraction 1 Over 25 EndFraction one fifth one half three fourths StartFraction 1 Over 50 EndFraction StartFraction 1 Over 100 EndFraction Is the probability distribution a discrete distribution? Why? Choose the correct answer below. A. No comma because some of the probabilities have values greater than 1 or less than 0. B. Yes comma because the distribution is symmetric. C. Yes comma because the probabilities sum to 1 and are all between 0 and 1 comma inclusive. D. No comma because the total probability is not equal to 1. Click to select your answer and then click Check Answer.
Answer:
D. No comma because the total probability is not equal to 1.
Step-by-step explanation:
Given the distribution:
[tex]\left|\begin{array}{c|cccccc}x&0&1&2&3&4&5\\ P(x)&1/25&1/5&1/2&3/4& 1/50&1/100\end{array}\right|[/tex]
The sum of the probabilities
[tex]\sum P(x)=1/25+1/5+1/2+3/4+ 1/50+1/100\\\sum P(x) =1.52 \neq 1[/tex]
Therefore, the distribution is not a probability distribution because the total probability is not equal to 1.
The correct option is D.
Sue Anne owns a medium-sized business. The probability model below describes the number of employees that may call in sick on any given day. What is the mean number of employees calling in sick each day?
probability model with number of employees sick in column 1. The probabilities are in column 2.
X
Number of
Employees Sick P(X)
0 0.05
1 0.40
2 0.30
3. 0.30
4. 0.05
Answer:
The mean is [tex]\mu = 2.1[/tex]
Step-by-step explanation:
The mean number of employees calling sick per day can be mathematically represented as
[tex]\mu = 0* 0.05 + 1 * 0.40 + 2 * 0.3 + 3 * 0.3 + 4*0.05[/tex]
[tex]\mu = 2.1[/tex]
Jimmie invested $57,500 at 9.38% compounded continuously. What will Jimmie's account balance be in 42 years?
Answer:
$6,259,057.84
Step-by-step explanation:
hello,
compounding continuously means that we have to multiply by
[tex]e^{0.0938*t}[/tex]
t is the number of years
so the account balance in 42 years is
[tex]57,500e^{0.0938*42}=6,259,057.84....\\[/tex]
so it gives
$6,259,057.84
hope this helps
Factor completely 4x2 + 20x.
Answer:
[tex]4x(x+5)[/tex]
Step-by-step explanation:
[tex]4x^2 + 20x[/tex]
The highest common factor of the expression is [tex]4x[/tex]
[tex]4x(x)+4x(5)[/tex]
[tex]4x(x+5)[/tex]
Answer:
[tex]4x(x + 5)[/tex]
Step-by-step explanation:
[tex]4 {x}^{2} + 20x \\ 4x(x + 5)[/tex]
The measure of two angles of a triangle are 31 and 128 degrees. Find the measure of the third angle.
Answer:
21°
Step-by-step explanation:
All angles in a triangle add up to 180°.
180 - 31 - 128
= 21
The measure of the third angle is 21°.
Ethan's solution and reasoning for solving an equation are shown below: 4/2 x - 10 =30
Answer:
Step-by-step explanation:
er
Answer:
x = 20
Step-by-step explanation:
4/2x - 10 =30
Divide 4/2.
2x - 10 =30
Add 10 to both sides.
2x = 30 + 10
2x = 40
Divide 2 into both sides.
2x/2 = 40/2
x = 20
Please help me with this problem, I can't figure it out
Answer: 44
Step-by-step explanation:
This is a confusing problem to look at, so use PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction).
5 * (-4) + (1 - (-3)^2)^2 simplify inside the parenthesis
5 * (-4) + (1 - 9)^2
5 * (-4) + (-8)^2 simplify exponents
5 * (-4) + 64 multiply
-20 + 64 finally, addition
44
PLZ I NEED THIS BY THE END OF THE DAY What are at least 5 examples of math that we often do in everyday life?
Answer:
cooking ( mesurments )
gardening ( landscape )
designing ( art )
shopping for the best price ( aka money counting )
car rides ( figuring out distance and time )
sewing.
hope this helped :)
Step-by-step explanation:
Computer purchases: Out of 809 large purchases made at a computer retailer, 347 were personal computers, 398 were laptop computers, and 64 were printers. As a part of an audit, one purchase record is sampled at random. Round the answers to four
decimal places, as needed.
(a) What is the probability that it is a laptop computer?
(b) What is the probability that it is not a printer?
Step-by-step explanation:
personal- 347 ÷ 809 = 0.43%
lap top- 398 ÷ 809 = 0.49%
printer- 64 ÷ 809 = 0.08%
Prove your work what is 1/12 of a dozen Branliest
Answer:
1/12 of a dozen is 1
Step-by-step explanation:
One dozen means 12. If you ask for 1/12 of 12, you multiply 12 and 1/12. You should get 1 as your answer.
In a small state, the license plate for a car begins with two letters, which may be repeated, and ends with three digits, which also may be repeated. How many license plates are possible in that state?
Answer:
676,000 possible license plate
Step-by-step explanation:
Each letter has 26 possible values (from A to Z), and each digit has 10 possible values (from 0 to 9).
So to find the number of license plates we can have, we just need to multiply the number of possible values for each letter and each digit, We have 2 letters and 3 digits, so we have:
Number of plates = 26 * 26 * 10 * 10 * 10 = 676000
We have 676,000 possible licence plates in this state.
URGENT!! The binomial expansion x^3-12x^2+48x-64 can be expressed as (x+n)^3. What is the value of n? A. -8 B. -4 C. 4 D. 8
Answer:
B. -4
Step-by-step explanation:
Subtract (3x^2-x^3)-(-5x^3+2x^2+1)
Answer:
4x^3+x^2-1
Step-by-step explanation:
(3x^2-x^3)-(-5x^3+2x^2+1)
Distribute the minus sign
(3x^2-x^3)+5x^3-2x^2-1
Combine like terms
-x^3 +5x^3 + 3x^2 -2x^2 -1
4x^3+x^2-1
Answer:
your answer is [tex]4x^{3} + x^{2} -1[/tex].
Step-by-step explanation:
Distribute the negative sign in the second half of the expression by multiplying that half by a -1. this should change the signs on all the numbers. this should leave you with the addition problem: (3x^2-x^3) + (5x^3 -2x^2 -1).combine like terms by adding. -x^3 can be combined with 5x^3, but remember to follow their signs. this will give you 4x^3. the same can be done with 3x^2 and -2x^2, following their sign rules. this results in: x^2.the negative one constant does not have any like terms, so he's by himself at the end of your new equation.be sure to arrange your terms in decreasing order according to exponent, which results in your final answer.One solution to the problem below is 10. what is the other solution?
b^2-100=0
Answer:
the same
Step-by-step explanation:
Answer:
The two solutions can be +10 and -10
Step-by-step explanation:
b^2 - 100 = 0
b^2 = 100
Take the root of both sides
b = +- 10
b = +10 , b = -10
Order the numbers from least to greatest: -5, 6, and 9.
Answer: -5, 6, and 9
Step-by-step explanation:
Step-by-step explanation:
least to greatest
-5 6 9
What is the value of the expression?
8 and one-half minus 2 + 4 and three-fourths
1 and three-fourths
11 and one-fourth
13 and one-fourth
15 and three-fourths
Answer:
11 and one-fourth
Step-by-step explanation:
The given expression can be rewritten as:
[tex](8+\frac{1}{2}) -2+(4+\frac{3}{4})[/tex]
1/2 can be written as 2/4.
Solving the expression grouping integers and fractions:
[tex](8+\frac{2}{4}) -2+(4+\frac{3}{4}) =\\8+4-2+(\frac{2}{4}+\frac{3}{4}) =\\10+\frac{5}{4}=\\ 11+\frac{1}{4}[/tex]
Therefore, the value of the given expression is 11 and one-fourth.
Answer:
11 and one fourth
Step-by-step explanation:
A perfect square number can never have the digit ….. at the units place.
a :1
b :9
c :8
please tell me the answer as soon as possible
Answer:
the answer is the last option, c :8.
Part A: A graph passes through the points (0,2), (1,3), and (2,4). Does this graph represent a linear function or a non-linear function? Explain your answer in words. Part B: Write one example of a linear function and one example of a nonlinear function. (Use x and y as the variables)
Answer:
A) linear
B) y = x is linear; y = 1/x is non-linear
Step-by-step explanation:
A) The points lie on the same straight line, so the function is linear.
__
B) Any function that has x to a power other than 1 will be non-linear.
linear function: y = x
nonlinear function: y = x^-1 = 1/x
What is AX?
Point A is the midpoint of side XZ and point B is the
midpoint of side YZ
O2 units
O 4 units
6 units
O 8 units
5x - 7
2x-2
X + 1
B
A
N
Answer: 4 units! Just took the test!
Step-by-step explanation:
The measure of length AX is,
⇒ AX = 4 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Find the diagram attached. The diagram is a similar triangle.
Now, From the diagram,
⇒ XZ/XY = CA/AB
Given that;
XZ = 2x-2+2x-2
= 4x-4
And, XY =5x-7
CA = 2x-2
AB= x+1
On substituting this parameters into the formula to get x first
4x-4/5x-7 = 2x-2/x+1
cross multiply
(4x-4)(x+1) = 5x-7(2x-2)
open the parenthesis
4x²+4x-4x-4 = 10x²-10x-14x+14
4x²-4 = 10x²-24x+14
10x²-4x²-24x+14+4 = 0
6x²-24x+18 = 0
x²-4x+3 = 0
x²-3x-x+3 = 0
x(x-3)-1(x-3) =0
(x-3)(x-1) = 0
x = 3 and 1
And, Now to get length AX as;
⇒ AX = 2x-2
Substitute x = 3 into the expression,
AX = 2(3)-2
AX = 6-2
AX = 4 units
Hence, The measure of length AX is,
AX = 4 units
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Parking at a large university has become a very big problem. University administrators are interested in determining the average parking time (e.g. the time it takes a student to find a parking spot) of its students. An administrator inconspicuously followed 250 students and carefully recorded their parking times. Identify the population of interest to the university administration.
Answer:
The population of interest is all the students at the University, to find their parking times.
Step-by-step explanation:
Sampling
This is a common statistics practice, when we want to study something from a population, we find a sample of this population.
For example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.
Here, the population of interest is all New York state residents.
An administrator inconspicuously followed 250 students and carefully recorded their parking times.
Sample of 250 students at the University.
So the population of interest is all the students at the University, to find their parking times.
describe this diagram help please
Answer:
U are finding the slope. so the vertical line is ur rise(x value) and the horizontal line is ur y value. Hopefully that helped
how many categories are shown in the rows?
Answer:
4 categories are shown in rows.
2 categories are shown in columns.
12 14 year olds.
82 people were polled.
Pollsters often use randomly selected digits between 0 and 9 to generate parts of telephone numbers to be called. What is the distribution of such randomly selected digits? If a pollster repeats the process of randomly generating 50 digits and finding the mean, what is the distribution of the resulting sample means?
Answer:
1.The distribution of the random digits is uniform
2.The distribution of the resulting sample are approximately normal
Step-by-step explanation:
1.Based on the information given Pollsters use randomly selected digits between 0 and 9 often in order to generate parts of telephone numbers to be called which means that the distribution of the randomly digits which was selected will be uniform reason been that there is an equal probability of selecting any of the numbers between 0 and 9.
2.The distribution of the resulting sample mean would be approximately normal reason been that the sample size is greater than 30.
If mACD = 100°, then mACE = [?]
Answer:
ACE = 80
Step-by-step explanation:
ACD and ACE form a straight line so they add to 180 degrees
ACD + ACE = 180
100 + ACE = 180
Subtract 100 from each side
100-100 + ACE = 180-100
ACE = 80
Compare and contrast the following piecewise
defined functions.
(-x+ 2 x<0
X+2, x<0
f(x) =
x? + 1, x>0 X + 2, x>0
g(x)=
Answer:
Both piecewise functions have a linear portion and a quadratic portion. The y-intercepts of both linear pieces are the same, 2. The quadratics are both open upward, but have different y-intercepts (one at 1, one at 2). The linear portion of the first function is decreasing, while the linear portion of the second function is increasing.
Step-by-step explanation:
Comparing and contrast of the functions are shown in below.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The given piecewise functions are;
⇒ f (x) = { - x + 2 ; x < 0
= { x² + 1 ; x > 0
Now, Comparison and contrast of the above piecewise functions are,
The similarities are;
1) Both piecewise functions are linear when x < 0.
2) Both piecewise functions are quadratic when x > 0.
3) The magnitude the slope of the linear part both function are equal.
4) The leading coefficient of the quadratic function are the same.
5) The y-intercept of the linear function are equal, therefore, the linear functions in f(x) and g(x) intersect on the y-axis.
6) The domain of the linear and quadratic functions are the same.
The contrasts (differences) in the function are;
1) The slope of the linear function of g(x) is positive and the slope of the linear function of f(x) is negative.
2) The y-intercept of the quadratic function in f(x) is +1, while the y-intercept of the quadratic function in g(x) is +2.
3) The quadratic function in f(x) and g(x) have graphs that do not intersect.
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What is the perimeter of kite WXYZ?
P=2(a+b)
Hope it helps
Answer:
C on Edge. 2 (square root of 53) +10 units
Step-by-step explanation: