Answer:
.3 .029 .0157 3.9 2.023 4.0129
i hope that helps!
for which of the following probability experiments does the binomial distribution apply? justify your answers. a coin is thrown 50 times. the variable is the number of tails. fifty coins are each thrown once. the variable is the number of tails. a box contains 5 red and 2 yellow marbles. you draw out 5 marbles, replacing the marble each time. the variable is the number of yellow marbles drawn. a box contains 5 red and 2 yellow marbles. you draw out 5 marbles. you do not replace the marbles that are drawn. the variable is the number of yellow marbles drawn. a large bin contains 5,000 bolts, 2% of them are faulty. you draw a sample of 20 bolts from the bin. the variable is the number of faulty bolts.
The binomial distribution applies to experiments where there are a fixed number of independent trials, each with only two possible outcomes, and a constant probability of success. The experiments that fit this description are: throwing a coin 50 times, drawing 5 marbles with replacement from a box containing 5 red and 2 yellow marbles, and drawing a sample of 20 bolts from a bin containing 5,000 bolts with a known 2% of them being faulty. So, the correct answer is A, B, C and E.
The binomial distribution applies to the following probability experiments
A coin is thrown 50 times, and the variable is the number of tails. This experiment satisfies the requirements for a binomial distribution because each trial has only two possible outcomes, the trials are independent, the probability of tails is constant, and there is a fixed number of trials. This satisfies the condition.
Fifty coins are each thrown once, and the variable is the number of tails. This experiment also satisfies the requirements for a binomial distribution because each trial has only two possible outcomes, the trials are independent, the probability of tails is constant, and there is a fixed number of trials. This satisfies the condition.
A box contains 5 red and 2 yellow marbles, and you draw out 5 marbles, replacing the marble each time. The variable is the number of yellow marbles drawn. This experiment does not satisfy the requirements for a binomial distribution because the trials are not independent since the marble is replaced each time. The probability of drawing a yellow marble changes from trial to trial, so the probability of success is not constant. This satisfies the condition.
A box contains 5 red and 2 yellow marbles, and you draw out 5 marbles without replacement. The variable is the number of yellow marbles drawn. This experiment does not satisfy the requirements for a binomial distribution because the trials are not independent since the marbles are not replaced.
The probability of drawing a yellow marble changes from trial to trial, so the probability of success is not constant. This does not satisfies the condition.
A large bin contains 5,000 bolts, 2% of them are faulty, and you draw a sample of 20 bolts from the bin. The variable is the number of faulty bolts.
This experiment satisfies the requirements for a binomial distribution because each trial has only two possible outcomes, the trials are independent, the probability of drawing a faulty bolt is constant, and there is a fixed number of trials. This satisfies the condition.
So, the correct options that satisfies the condition of binomial distribution is A, B, C and E.
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Rob loves to snowboard in the winter, so he is looking at the cost of ski lift tickets for different mountains. Peak Point is selling 5-day packs for $275.60. Grand Mountain is selling 3-day packs for $174.75. Which mountain offers the better deal?
Answer: Peak Point offers the better deal.
Step-by-step explanation:
To find which has the best price, we need to know the cost for one day at each mountain. To do this, we would divide the cost of each pack by the number of days it pays for, so
$275.60/5 days
and $174.75/3 days.
Peak Point costs $55.12 per day while Grand mountain costs $58.25 for each day. This shows that Peak Point clearly has the better deal, costing $3.13 less for every day included in the pack.
2x4=8
I need help with thi algebra, it i my firt time learning it!
Thank much appreciated
Directions
Math-Alg.F-IF.6 Standard Review (copy)
1
The function f(x) contains the set of points {(-2,4), (-1,8), (0, 12), (1, 15), (2, 18)} over the interval [-2,2].
What is the average rate of change of f(x) over the interval [0, 2]?
Check the picture below.
\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(2)-f(0)}{2 - 0}\implies \cfrac{18-12}{2}\implies \cfrac{6}{2}\implies \text{\LARGE 3}\)
A bank analyst wants to ask customers who have a mortgage with the bank about the customers' home-buying experiences. Which of the following best describes a convenience sample of customers?
It is important for the bank analyst to acknowledge the limitations of a convenience sample and consider alternative methods of sampling to obtain a more accurate representation of the customers' home-buying experiences.
A bank analyst wants to ask customers who have a mortgage with the bank about the customers' home-buying experiences. A convenience sample of customers would be a group of individuals who are easily accessible and readily available to participate in the study. This could be customers who are physically present in a bank branch at a given time or customers who have recently interacted with the bank through phone or online channels. However, this method of sampling may not be representative of the entire population of customers who have a mortgage with the bank, as it may exclude certain groups of customers who do not frequently interact with the bank or have unique circumstances. Therefore, it is important for the bank analyst to acknowledge the limitations of a convenience sample and consider alternative methods of sampling to obtain a more accurate representation of the customers' home-buying experiences.
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can i get some help
Answer:x = -0.1290322581
Step-by-step explanation:
Simplifying
9x + -4(1 + 10x) = 0
9x + (1 * -4 + 10x * -4) = 0
9x + (-4 + -40x) = 0
Reorder the terms:
-4 + 9x + -40x = 0
Combine like terms: 9x + -40x = -31x
-4 + -31x = 0
Solving
-4 + -31x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + -31x = 0 + 4
Combine like terms: -4 + 4 = 0
0 + -31x = 0 + 4
-31x = 0 + 4
Combine like terms: 0 + 4 = 4
-31x = 4
Divide each side by '-31'.
x = -0.1290322581
Simplifying
the demand curve for hummus has a constant slope of -2. what can you say about the price elasticity of demand for hummus with this information?
Based on the given information that the demand curve for hummus has a constant slope of -2, we can say that the price elasticity of demand for hummus is relatively elastic. This means that a small change in price will result in a relatively larger change in the quantity demanded of hummus.
In other words, consumers are sensitive to changes in the price of hummus and are likely to reduce their consumption if the price increases, and vice versa.
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The price elasticity of demand for hummus cannot be determined solely from the information provided, as it depends on both the slope and the price-quantity relationship.
The price elasticity of demand (Ed) is a measure of how responsive the quantity demanded of a good is to a change in its price. It is calculated using the formula:
Ed = (% change in quantity demanded) / (% change in price)
Since the demand curve for hummus has a constant slope of -2, this tells us that for every unit increase in price, the quantity demanded decreases by 2 units. However, to calculate the price elasticity of demand, we also need information about the price and quantity levels.
The slope of the demand curve alone does not provide enough information to determine the price elasticity of demand. The elasticity varies along the curve, being more elastic at high prices and low quantities, and less elastic at low prices and high quantities.
While the slope of the demand curve for hummus is -2, this information alone is not sufficient to determine the price elasticity of demand. Additional information about the price and quantity levels is needed to calculate the elasticity accurately.
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PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
25 = 10 + w
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Plz mark as brainliest!!!
Give me all three questions, no need to explain, ill give Brainly to the correct person. The picture is below.
Answer:
A) x=23
B) angle 1 = 73, angles 4, 5, and 8 are congruent
C) angle 2 = 107, angles 3, 7, and 6 are congruent
Step-by-step explanation:
TRUE/FALSE.In a two-dimensional array, both dimensions must have the same number of elements, as in[10][10].
The given statement is FALSE.
In a two-dimensional array, both dimensions do not necessarily have to have the same number of elements. The syntax [10][10] implies a two-dimensional array with 10 elements in each dimension, resulting in a square matrix of size 10x10.
However, it is possible to have a two-dimensional array where the number of elements in each dimension differs. For example, an array declared as [5][3] would have 5 elements in the first dimension and 3 elements in the second dimension, resulting in a matrix with 5 rows and 3 columns.
The dimensions of a two-dimensional array represent its structure and the arrangement of its elements in rows and columns. It is common for arrays to have different sizes in each dimension to accommodate specific data requirements. This flexibility allows for more dynamic storage and manipulation of data.
For instance, you might need a two-dimensional array to store data in a tabular format, where the number of rows can vary while the number of columns remains constant.
Hence, it is not necessary for both dimensions of a two-dimensional array to have the same number of elements. Arrays can have different sizes in each dimension, providing flexibility in storing and organizing data based on specific requirements.
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How do you simplify the expression (1−sin^2x)cosx ?
On simplifying the trigonometric expression \((1-sin^2x)cosx\) we get \(cos^3x\).
there are many ways to simplify trigonometric expressions. The simplest one is to use trigonometric identities.
\((1-sin^2x)cosx\)
now, accordingly, we use the following identity of trigonometry to simplify
\(sin^2x+cos^2x=1\\\\\)
subtract sin^2x on both sides of this trigonometric identity we get
\(sin^2x-sin^2x+cos^2x=1-sin^2x\)
so by canceling similar terms from the left side we get
\(1-sin^2x=cos^2x\)
so by putting it in the first expression we get
\((1-sin^2x)cosx\)\(=cos^2x(cosx)\)
finally, we get
\(=cos^3x\)
so by simplifying the trigonometric expression \((1-sin^2x)cosx\) using trigonometric identities we get \(cos^3x\).
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Find sin^2(pi/8) - cos^4(3pi/8)
Recall the following identities:
sin²(x) = (1 - cos(2x))/2
cos²(x) = (1 + cos(2x))/2
Then
sin²(π/8) = (1 - cos(π/4))/2 = (1 - 1/√2)/2
cos⁴(3π/8) = (cos²(3π/8))² = ((1 + cos(3π/4))/2)² = ((1 - 1/√2)/2)²
and so
sin²(π/8) - cos⁴(3π/8) = (1 - 1/√2)/2 - ((1 - 1/√2)/2)²
… = (1 - 1/√2)/2 • (1 - (1 - 1/√2)/2)
… = (2 - √2)/4 • (1 - (2 - √2)/4)
… = (2 - √2)/16 • (4 - 2 + √2)
… = (2 - √2)(2 + √2)/16
… = (4 - 2)/16
… = 1/8
HELP PLEAASE i need answer nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:Irrational,2/9,22/100 11/50, Irrational, No Fraction Given, Perfect Square, Non-Perfect Square
Step-by-step explanation:Best fit options for each question.
Ireland is 4 years older than Andrew. In 9 years, the sum of their ages will be 52. How old is Andrew now?
Answer:
15
Step-by-step explanation:
52 - 4 =48
48 (divided) by 2 is 24 - 9 is 15 your welcome :D
For our safety, it is important that drivers recognize a stop sign immediately. Stop signs are made with exact side and angle measurements to form a regular octagon. They are red so they are easy to see. The three lines drawn below are straight lines. Lines a and b are parallel. a) The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠L? Describe the relationship between ∠F and ∠L. (1 point) b) What is the measure of ∠E? Explain how you know. (1 point c) Describe the relationship between ∠E and ∠K. What is the measure of ∠K? (1 point) d) What is the measure of ∠H? Explain. (1 point) e) What is the measure of ∠I? Explain. (1 point) f) Describe the relationship between ∠H and ∠L. (1 point)
Answer:
a is Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.
Step-by-step explanation:
Find the area of the polygon pls
Given:
The figure of a polygon.
To find:
The area of the polygon.
Solution:
Area of a triangle is
\(Area=\dfrac{1}{2}\times Base\times Height\)
Area of trapezoid is
\(Area=\dfrac{1}{2}(a+b)h\)
Where, a, b are bases and h is the height.
The area of the triangle with base 6 cm and height 8 cm is
\(A_1=\dfrac{1}{2}\times 6\times 8\)
\(A_1=24\)
Height of the trapezoid is \(13-8=5\ \text{cm}\) and the bases are 6 cm, 12 cm. So, the area of the trapezoid is
\(A_2=\dfrac{1}{2}(6+12)(5)\)
\(A_2=\dfrac{1}{2}(18)(5)\)
\(A_2=(9)(5)\)
\(A_2=45\)
Now, the total area of the polygon is
\(A=A_1+A_2\)
\(A=24+45\)
\(A=69\)
Therefore, the area of the polygon is 69 sq. cm.
the probability that a woman with two children either has two girls or two boys is 0.5048. what is the probability that she has one child of each sex? (give the answer to four decimal places.)
The probability that a woman is having one child of each sex is 0.2548.
The probability of having two children of the same gender (either both girls or both boys) can be calculated by multiplying the probability of having a girl or a boy is (which is 1/2 or 0.5) by itself twice, as each child is independent of the other:
0.5 × 0.5 = 0.25 (probability of having either two girls or two boys)
Since the total probability of having two girls or two boys is 0.5048 as given in the question, the probability of having one child of each sex is: 0.5048 - 0.25 = 0.2548.
Therefore, the probability that a woman with two children has one child of each sex is 0.2548
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What are the 4 steps in graphing linear inequalities?.
The four step to graphing the linear inequalities are: Always begin by separating the variable y from the inequality's left side, Replace the inequality symbol with the equality symbol, In XY plane, graph the boundary line from step 2, The final step is to shade a portion or one side of the border line.
In the given question we have to explain the 4 steps in graphing linear inequalities.
Step 1: Always begin by separating the variable y from the inequality's left side.
Step 2: Replace the inequality symbol with the equality symbol.
Step 3: In XY plane, graph the boundary line from step 2.
Step 4: The final step is to shade a portion or one side of the border line.
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The wheel of a shopping cart that must be replaced is 3.5 inches in diameter. However, the only wheel you have is 2.75 inches in diameter. To keep the cart level, you must brace it out with a piece of metal. How much should you extend the new wheel out?
Answer:
you should extend the new wheel out by .75 cm
Step-by-step explanation:
2.75 + .75 = 3.5
rich has conducted a study in which he compares the reading skills of 6-year-olds, 7-year-old, and 8-year-olds. what kind of statistical test should rich use?
The term "analysis of variance" is referred to as ANOVA. Ronald Fisher created a statistical test in 1918, and it has been in use ever since. Simply said, an ANOVA analyzes the statistical significance of differences between the means of three or more independent groups.
What are the uses of the ANOVA test?You can begin to determine which independent variable has a relationship to your dependent variable (such as landing page clicks) and what is causing that behavior after you are aware of how each independent variable's mean differs from the others.Additionally, you can investigate whether dependent variables, such as the likelihood of planning a cookout, the frequency with which people buy sunscreen, and attendance at outdoor venues, are influenced by a single independent variable, such as temperature. To determine whether there is a statistically significant difference in the means of two or more independent or unrelated groups/variables, one-way analysis of variance, often known as the ANOVA test, is employed.Learn more about the ANOVA test here:
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what is -3 2/3+3 1/6 in simplest form
Answer: -1/2
Step-by-step explanation:
-3 2/3+3 1/6=
-(3*3+2)/3 + (6*3+1)/6=
-11/3+19/6=
-22/6+19/6=
(-22+19)/6=
-3/6=-1/2
Ashley decorates cakes and uses red icing to write a message on the cakes. she uses 10 1/2 ounces of red icing to write a message on 3 1/2 cakes . Based on this rate how many ounces of red icing are needed to write a message on one cake ?
Answer:
Step-by-step explanation: Sure! Here's a step-by-step solution to find the amount of red icing Ashley needs for one cake:
Divide the total amount of red icing by the number of cakes: 10 1/2 ÷ 3 1/2 = 3.
Simplify the result from step 1: 3 = 3 ounces of red icing per cake.
So Ashley needs 3 ounces of red icing to write a message on one cake.
2. Use your inequality from Question 1 and let h = 27 cm. Is this value of h a valid solution to the inequality? Explain.
question 1 my answer and the question:1. The area of this rectangle is at most 400 square centimeters. Write and solve an inequality to represent the possible values for the height, h, for this triangle. Show all steps of your work.
1ft≤h≤25ft the area of a rectangle is expressed as;
Area = Length * height
A = Lh
If the area of a rectangle is at most 400 square centimeters, this is expressed as;
A ≤400
≤ means at most that is the area of the rectangle cannot be greater than 400
Substitute the given value into the inequality expression
Lh ≤ 400
Given
L = 16
16h ≤ 400
Divide both sides by 16
16h/16 ≤ 400/16
h ≤ 400/16
h ≤ 25
20+ points you will get more if you help
Answer:
someone needs to answer this because i dont know
it.
Step-by-step explanation:
he is correctStep-by-step explanation:
Tom made fruit punch for a party. He mixed 2 gallons of orange juice, 4 quarts of pineapple juice, 3 pints of cranberry juice, and 8 cups of apple juice. How many quarts did he make in all?
Write each of the following sets by listing their elements between braces. 16. {6a + 2b:a, b € Z}
The set can be written as: {6a + 2b | a, b ∈ Z} which means that the elements of the set are all possible values of 6a + 2b where a and b are integers. Written with braces, the set would look like this: { ..., -14, -8, -2, 4, 10, 16, ... }.
This set is defined as the set of all possible values obtained by multiplying any integer 'a' by 6 and any integer 'b' by 2 and then adding the results. Therefore, the set contains all the integers that can be expressed as 6a + 2b, where 'a' and 'b' are integers.
To list the elements of this set between braces, we need to find all possible combinations of values of 'a' and 'b' that belong to the set of integers 'Z' and substitute them into the expression 6a + 2b. This gives us the set of all possible values that can be obtained by multiplying an integer by 6 and another integer by 2 and then adding the results.
The resulting set includes all even integers since 6a is even for all integer values of a, and the sum of two even integers is always even. Therefore, we can write the set as follows:
{..., -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, ...}
Understanding how to define and list the elements of sets is essential in various fields, including mathematics, statistics, and computer science. It allows us to organize data, study relationships between variables, and make predictions or decisions based on the properties of the set.
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you bought a concentrated sports drink at 14x. how would you make 2l of 1x drink for your basketball team?
You can make 2l of 1x drink by combining 1 liter of water, a dosage of 5g sugar, and 7.5g salt.
You have 1 litre of concentrated sports drink in your kitchen. How would you make 2 litres at one quarter of the price?
If you had bought a concentrated sports drink at 14x, you would be able to make 2l of 1x drink for your basketball team. This is because when one bottle is diluted it would become 13 bottles (1 concentrate + 12 dilutions). So, we have represented the process as follows:
If you buy 2l of basketball team drink concentrate and measure 3l of water or electrolyte solutions, you will create 4 bottles. You can fill them about 1/4 full with the base solution for their desired tastes and flavors such as lemonade and unsweetened tea etc.
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Find the amplitude of this function.
Answer:
2.5
Step-by-step explanation:
The amplitude of a function is the amount by which the graph of the function travels above and below its midline.
The distance from the highest most point to the lowest point vertically is 5, meaning that the midpoint is 2.5 units from either end.
Car Survey: In a survey of 2,400 people who owned a certain type of car, 1,680 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70 percent
Step-by-step explanation:
help me now right now because i ran out of skips
Answer:
no question
Step-by-step explanation:
sorry I cant help there's no question
Answer:
Help with what?
Step-by-step explanation:
There is no question.
One month ali rented 5 movies and 3 games for a total of $36. The next month he rented 7 movies and 9 games for a total of $78. Find the rental cost for each mcoie and each video game
Answer:
\(m = 3.75\)
Step-by-step explanation:
\(5m + 3g = 36 \\ 7m + 9g = 78\)
Make it so that one of the values is the same
\(15m + 9g = 108 \\ 7m + 9g = 78\)
Take them away from each other
\(8m = 30 \\ m = 3.75\)