Answer:
diameter is 4
Step-by-step explanation:
Supóngase que el 2% de la población en promedio son zurdos. La probabilidad que en 100 personas haya 3 o más zurdos es
The probability of 3 or more deaf people in a sample of 100 is given as follows:
0.3633 = 36.33%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of the parameters for this problem are given as follows:
p = 0.02, n = 100.
The probability of 3 or more deaf people are given as follows:
P(X >= 3) = 1 - P(X < 3).
In which:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Hence:
P(X = 0) = 0.98^100 = 0.1326.P(X = 1) = 100 x 0.02 x 0.98^99 = 0.2707.P(X = 2) = 99 x 50 x 0.02² x 0.98^98 = 0.2334.Thus:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
P(X < 3) = 0.1326 + 0.2707 + 0.2334
P(X < 3) = 0.6367.
P(X >= 3) = 1 - P(X < 3).
P(X >= 3) = 1 - 0.6367.
P(X >= 3) = 0.3633.
TranslationWe suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.
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Simplify the polynomial
(3x^2 - 5x + 2) + (2x^2+ 3x - 10)
Answer:
the answer is b 5x^2-2x-8
i really need help!!!!!
there are like 5 questions.
Answer:
3
Step-by-step explanation:
The answer is three because u need to simply the fractions
a local radio station plays 40 rock-and-roll songs during each 4-hour show. the program director at the station needs to know the total amount of airtime for the 40 songs so that time can also be programmed during the show for news and advertisements. the distribution of the lengths of rock-and-roll songs, in minutes, is roughly symmetric with a mean length of 3.9 minutes and a standard deviation of 1.1 minutes.
The sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs is given as follows:
Approximately normal, with mean of 3.9 minutes and standard deviation of 0.17 minutes.
What is defined by the Central Limit Theorem?The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\), with mean and standard error given as follows:
Shape: approximately normal.Mean: \(\mu\)Standard error: \(s = \frac{\sigma}{\sqrt{n}}\)The population mean and standard deviation for this problem are given as follows:
\(\mu = 3.9, \sigma = 1.1\)
Hence the standard error of the sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs is calculated as follows:
s = 1.1/square root of 40 = 0.17 minutes.
Missing InformationThe problem asks for the sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs.
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Kristy had a piece of fabric that she cut into 8 equal squares. Each square has area 0.625 ft2. What is the area of Kristy's original piece of fabric?
ft2
PLS HELPPP
Answer:
5\(ft^2\) is the area of the original piece of fabric.
Step-by-step explanation:
0.625 x 8 = 5
Sandra runs a race which is 7.5 kilometers. How many miles does Sandra run in this race?
Answer:
4.66028 miles
Step-by-step explanation:
I am struggling to find domain and range please help thank you
Answer:
Domain: 0, 1, 2, 3, 4,
Range: 1, 2, 3, 4, 5,
Step-by-step explanation:
Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5, therefore, the answer is:
1.It included in the table, which ordered pair.(-1.4) or (4.-1), would result in a relation that is no longer a function? Explain your answer. (2 points)
From the table, it can be observed that corresponding to x = -1, the value of y is 2.
Relation is a function if there exist only one oputput for every input.
So if ordered pair (-1,4) is included in the table, then relation give 4 and 2 as output for same input of x = -1. Thus this violates the condition of relation to be a function.
In table there is not output value for x = 4. So if ordered pair (4,-1) is include in the table then relation is a function.
Thus ordered pair (-1,4) is included in table then relation is no longer a function.
Thank you for the help!
Answer:
c 57
Step-by-step explanation:
Complete the factorization shown.
2x²-x-6 = (2x +
)(x-
-
DONE
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
Simplify 2fg+4g– 6fg
Answer:
16
f
10
g
22
Step-by-step explanation:
Answer:
= -4fg+4g
Step-by-step explanation:
2fg+4g–6fg
group like terms:
2fg-6fg–4g
add similar elements:
2fg-6fg=4g
answer:
= -4fg+4g
Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
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(c) Mr. Young suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 35% lower than $1879. What was the price the travel agent found? Show your work.
Answer: The travel services sector is made up of a complex web of relationships between a variety of suppliers, tourism products, destination marketing organizations, tour operators, and travel agents, among many others. Under the North American Industry Classification System (NAICS), travel services comprises businesses and functions that assist with planning and reserving components of the visitor experience (Government of Canada, 2014).
A 7% – 8% commission level is somewhat standard with host agencies working with self sufficient agencies. Independent travel agents earning 90% – 100% of the commission are usually high volume seasoned agents that require little to no support from the host agency.
(sorry if im wrong)
:(
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is not a spade
The perimeter of the rectangle below is 104 units. Find the length of side AD.
Write your answer without variables.
D
52-2
4z
C
B
AD =
0
HELP PLEASE!
Answer: 28
Step-by-step explanation:
Using the formula for the perimeter of a rectangle,
\(2(5z-2+4z)=104\\\\9z-2=52\\\\9z=54\\\\z=6\\\\\therefore AD=5(6)-2-28\)
PLEASE HELP!!! (1/5) - 50 POINTS-
Answer:
consistent independent
Step-by-step explanation:
This is a graph of consistent independent equations
The lines cross and there is one solution
Inconsistent equations never cross and there is no solutions
Consistent dependent equations are equations of the same line
Answer:
Linear
Step-by-step explanation:
This is a graph of linear system of equation.
The two lines represent different equations connected with each other.
They intersect at a common point showing the solution to the system of equation.
Do the ratios 6/4 and 10/6 form a proportion?
As the two ratios, 6/4, and 10/6 are not equal, they are not in proportion.
What is Ratio?When a number is divisible by another number, then it can be written in the form p:q, this is called a ratio and when two ratios are equal to one another then they are said to be in proportion.
In simple terms, the ratio is the comparison of two quantitites and proportion is the equality of two ratios.
The ratios are 6/4, and 10/6.
The first ratio is 6/4
The second ratio is 10/6
If the ratios are in proportion, they must be equal.
6/4
= 3/2
= 1.5
10/6
= 5/3
= 1.667
The two ratios are not equal.
So, if the two ratios are not equal, the two ratios are not in proportion.
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15 PROPERTIES OF A PARALLELOGRAM PLS. I NEED IT FOR NOW 15
Answer:
Opposite sides are congruent (AB = DC).
Opposite angels are congruent (D = B).
Consecutive angles are supplementary (A + D = 180°).
If one angle is right, then all angles are right.
The diagonals of a parallelogram bisect each other.
Each diagonal of a parallelogram separates it into two congruent triangles.
Number of sides = 4
Number of vertices = 4
Mutually Parallel sides = 2 (in pair)
Area = Base x Height
Perimeter = 2 (Sum of adjacent sides length)
Type of polygon = Quadrilateral
The opposite sides are parallel and congruent
The opposite angles are congruent
The consecutive angles are supplementary
Each diagonal bisects the parallelogram into two congruent triangles
Sum of square of all the sides of parallelogram is equal to the sum of square of its diagonals. It is also called parallelogram law
Please brianliest! Also, I gave you 2 extra facts :)
which is bigger -4 or -5
Answer:
-4
Step-by-step explanation:
-4 would be larger than -5 because negative numbers get smaller the farther they are from zero.
The gas tank in Sharon’s car can hold up to 16.5 gal of gas.
About how many liters of gas can the tank hold?
1 L≈1.06 qt
A:3.9L
B:4.4L
C:62.3L
D:70.0L
Answer:
B 4.4
Step-by-step explanation:
There is 1 gallon in 3.7 liters so you would divide 16.5 by 3.7
The tank has a capacity of 58.90 liters of gas.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculations.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that the gas tank in Sharon’s car can hold up to 16.5 gal of gas
Since one gallon is 4 quarts
Volume in quarts as:
16.5 gallons = 16.5 x 4 quarts = 66 quarts
So quarts = 0.946
66 quarts = 0.946 x 66 = 62.436
So Volume = 62.436q
Volume in liters as:
Given as one litre = 1.06qt
If one liter is 1.06, Then 62.436 will be = 62.436/1.06 = 58.90
The volume in liters of 58.90
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BOND VALUATION Asiana Fashion's bonds have 10 years remaining to maturity. Interest is paid annually; they have a $1,000 par value; the coupon interest rate is 8% and thebyield to maturity is 9%.What is the bond's current market price?
Answer:
$935.76
Step-by-step explanation:
BOND VALUATION Asiana Fashion's bonds have 10 years remaining to maturity. Interest is paid annually; they have a $1,000 par value; the coupon interest rate is 8% and thebyield to maturity is 9%.What is the bond's current market price?
Step 1
We find the Present value factor of sum
The formula =
(1 + i)^n
Where
i = maturity rate = 9% = 0.09
n = number of years = 10 years
Present Value = ( 1 + 0.09)^-10
= 0.4224
Step 2
We find the present value factor of annuity
The formula is given as:
1 - (1+i)^-n / i
i = maturity rate = 9% = 0.09
n = number of years = 10 years
= 1 - (1 + 0.09)^-10 /0.09
= 1 - 0.4224 /0.09
= 0.5775 /0.09
= 6.417
Step 3
The bond's current market price is calculated as:
= PV factor of Sum × Par Value + PV factor of annuity × coupon payment
Coupon payment is calculated as:
= Coupon interest × par value
= 8% × 1000
= 80
Hence,
= 0.4224 × 1,000 + 6.417 × 80
= 422.4 + 513.36
= 935.76
In this exercise we have to use the knowledge of finance to calculate the corrective value of the market place, in this way we find that:
\(\$935.76\)
We find the Present value factor of sum, by the formula of:
\((1 + i)^n\)
Where:
i = maturity rate = 9% = 0.09 n = number of years = 10 years
Substituting the values in the formula as;
\(Present \ Value = ( 1 + 0.09)^{-10} = 0.4224\)
We find the present value factor of annuity, by the formula as:
\(1 - (1+i)^{-n} / i\)
Where:
i = maturity rate = 9% = 0.09 n = number of years = 10 years
Substituting the values in the formula as;
\(= 1 - (1 + 0.09)^{-10} /0.09\\= 1 - 0.4224 /0.09\\= 0.5775 /0.09\\= 6.417\)
The bond's current market price is calculated as:
\(= PV \ factor\ of\ Sum * Par\ Value + PV\ factor\ of\ annuity * coupon\ payment\)
Coupon payment is calculated as:
\(= Coupon\ interest * par\ value\\= 8\% * 1000= 80\)
So continue the calcule;
\(= 0.4224 *1,000 + 6.417 * 80\\= 422.4 + 513.36\\= 935.76\)
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if the pool has a constant depth of 1.5 meters, what is the volume of the pool? Rounded to the nearest tenth
Answer:
8
Step-by-step explanation:
because if you round the 1.5 it = 2 and the the pool would be the same on all sides so it would be 2*2*2 to get depth time height times length to get your total of 8. sorry if i get this wrong, just trying to help
ok so um yea plz help....and if you find them i will do 2 thingss............face reveil anddddddddd BRAINLEIST for you
Answer:
4
Step-by-step explanation:
all you have to do is divide 12 by 3
Answer:
4 if ur doing division or 3 over 12
Step-by-step explanation:
For what value of y does 125=(1/25)^(y-1)?
Answer:
y = -1/2 is the answer to 125=(1/25)^(y-1)
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.
In a town where 1/4 of the days are sunny and 3/4 are cloudy, the next six days are all sunny.
The probability of the combined event that the next six days are all sunny is 1/4096
How to determine the probability all days being sunny?From the question, we have the following parameters that can be used in our computation:
Probability that it is sunny = 1/4
Probability that it is cloudy = 3/4
Number of days = 6
The probability for all six days, it is sunny is represented as
Probability = Probability that it is sunny^Number of days
Substitute the known values in the above equation, so, we have the following representation
Probability = (1/4)⁶
Express as decimal
Probability = (0.25)⁶
Evaluate the exponent
Probability = 1/4096
Hence, the probability is 1/4096
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AA.1 Solutions to inequalities P9N
Which of the following are solutions to the inequality below? Select all that apply.
3 ≤ 47
x = 24
Submit
x = 51
X = 6
X = 99
Answer: 3 ≤ 47
Step-by-step explanation:
The inequality given is 3 ≤ 47.
To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.
Looking at the options provided:
x = 24: This is not a solution because 24 is less than 47.
x = 51: This is a solution because 51 is greater than or equal to 47.
x = 6: This is not a solution because 6 is less than 47.
x = 99: This is a solution because 99 is greater than or equal to 47.
Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.
SOMEONE PLEASE PLEASE HELP!!!
Lisa sells raffle tickets at a charity event for $4 each. How many tickets does she have to sell to make $160? Select the correct equation and answer.
Responses
4t=160; 40 tickets4t=160; 40 tickets
t160=4; 40 ticketst160=4; 40 tickets
4(160)=t; 480 tickets4(160)=t; 480 tickets
t4=160; 480 tickets
Answer: 40 tickets
Step-by-step explanation:
1 ticket=$4
160/4=40
$4x40tickets=$160
The rear windshield wiper of a car rotated 120 degrees,as shown. Find the area cleared by the wiper. 25inch,120 degrees, 14inch
The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.
The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.
The wiper's arm is represented by a line segment and has a length of 14 inches.
The wiper's blade is perpendicular to the arm and has a length of 25 inches.
Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.
As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.
The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.
In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.
Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.
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