Six unrelated African American people in the United State are elected at random then the probability that all three have type O+ blood would be 0.103823
The probability that a person in the United States has type O+ blood is 47%. Three unrelated people in the United States are selected at random. Find the probability that all three have type O+ blood.
Since the probability of having a O+ blood is an independent event, so to find probability that all three have type O+ blood we will use multiplication rule of independent events as:
0.47*0.47*0.47= 0.103823
Therefore, the probability that all three have type O+ blood would be 0.103823
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if you had 12.3 grams of carbohydrates, how many calories would that contribute per serving? do not round; give the absolute value.
49.2 calories are in would that contribute per serving .
What does a calorie mean ?
Energy is measured in calories. When you hear something has 100 calories, it means that it has the potential to provide your body with that many calories of energy. Calories are the units of energy used by your body during food digestion and absorption. A food's ability to give your body energy depends on how many calories it contains.Carbohydrates provide 4 calories per gram.
1 gm Carbohydrates = 4 calories
then 12.3 gm Carbohydrates = 12.3 * 4
= 49.2 calories
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4.
In parallelogram ABCD, what is the relationship between angle a° and angle c°?
a° = c°
a° – c° = 180°
a° + c = 180°
a° = -c°
Answer:
a° = c°
Step-by-step explanation:
parallelogram's opposite angles are equal
mathworldwolfram
There are seven nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter.
Answer:
3/13
Step-by-step explanation:
Here is the full question
There are seven nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Find the probability that both coins are nickels.
Because there is no replacement, after you pick the first coin, the number of coins in your pocket becomes 13 and the number of nickels in your pocket becomes 6
probability that both coins are nickels = probability that the first coin is a nickel x probability second coin is a nickel
7/14 x 6/13 = 3/13
Ten years after 850 high school seniors graduated ,400 had a college degree and 310 were married. Half of the students with a college degree were married. What is the probability that a student does not have a college degree
0.529 is the probability that a student does not have a college degree.
From the information given, we know that:
P(B) = 310/850P(A and B) = P(B) - P(college degree and B)P(college degree and B) = P(B|college degree) * P(college degree)P(B|college degree) = 1/2 (since half of the college graduates are married)P(college degree) = 400/850The formula for conditional probability:
P(A|B) = P(A and B) / P(B)
Let A be the event of not having a college degree, and B be the event of being married. We want to find P(A).
Using these values, we can calculate:
P(college degree and B) = (1/2) * (400/850) = 0.235
P(A and B) = 310/850 - 0.235 = 0.07
Finally, we can calculate P(A) using the formula for total probability:
P(A) = 1 - P(college degree)
= 1 - (400/850)
= 0.529
Therefore, the probability that a student does not have a college degree is 0.529.
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The table shows the relationship between the number of Calories Jacob burns while roller skating and the number of minutes he roller skates,
Minutes Calories Burned
40
200
80
400
120
600
160
800
How many calories will Jacob burn in 1 minute while roller-skating? Enter the answer in the box.
Answer:
40 calories burned
Step-by-step explanation:
Help please with problem 2 I will mark brainliest
Answer:
During the rapid diagnostic test of coronavirus among 250 people 96% were found negative .how many people were found negative
Suppose a company did $2,000,000 in annual maintenance in 2013 and expects 80% of those to renew for 2014. Suppose that product sales for 2013 were $2,000,000 (which included free maintenance in 2013) and 75% of those were expected to pay an annual maintenance of 10% of the purchase price in 2014.
What will be the annual maintenance collected in 2014?
The annual maintenance collected in 2014 will be $1,750,000.
How to calculate the annual maintenance collected in 2014?To calculate the annual maintenance collected in 2014, we need to find the number of customers who will renew their maintenance contract and the number of customers who will pay for maintenance as a percentage of product sales in 2013.
Number of customers renewing maintenance in 2014 = 80% of $2,000,000 = $1,600,000
Number of customers paying for maintenance in 2014 = 75% of $2,000,000 = $1,500,000
So, the total annual maintenance collected in 2014 will be:
$1,600,000 + $1,500,000*10% = $1,750,000
Therefore, the annual maintenance collected in 2014 will be $1,750,000.
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Consider the cylinder, given in the figure {r=1.5, h=3}. The potential V within the cylinder is given in cylindrical coordinates as: V = 5r + 4 cos Ø Calculate the total charge within the cylinder.
To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.
The total charge can be obtained by integrating the charge density over the volume of the cylinder.
The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.
The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:
∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²
Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:
∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز
Applying this operator to the potential function V, we find:
∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز
To find the charge density, we substitute this expression into ρ = -∇²V:
ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز
To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:
Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV
The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.
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Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probability that at most 4 students have taken chemistry? Round the answer to the nearest thousandth.READ ANSWERS!0.0080.4380.5620.665
If we don't allow to repeat a pick on the sample, than each student we pick will change the probability of picking the next one and, since we don't know the total number of students at her high school, we wouldn't be able to calculate this probability.
Thus, to calculate this with the provided information, we need to assume that we can repeat a student in the sample, that way the probability of picking a chemistry student will always be 40%.
So, with that assumption, we can use binomial probability to calculate the probability of picking at most from from that have taken chemistry on the 12 picked students.
Since we want at most 4, we have the consider the term of the binomial for which 0 students from chemistry were picked, the term for 1 from chesmitry, the term for 2, the term for 3 and the term for 4.
Let p be the probability of picking 1 student from chemistry, n be the total number of students picked and k be the number of students on those that are from chemistry. Then, each term will have the following:
\(B(k)=\frac{n!}{k!(n-k)!}p^k(1-p)^{n-k}_{}\)In this case, n is always 12 and p is always 0.4, so 1 - p is always 0.6.
k will vary from 0 to 4 and the total probability will be the sum of each term.
The term for 0 students from chemistry has k = 0, so:
\(B(0)=\frac{12!}{0!(12-0)!}(0.4)^0(0.6)^{12-0}=1\cdot1\cdot(0.6)^{12}=0.0021767\ldots\)The term for 1 student from chemistry has k = 1, so:
\(B(1)=\frac{12!}{1!(12-1)!}(0.4)^1(0.6)^{12-1}=12\cdot0.4\cdot(0.6)^{11}=0.0174142\ldots\)The term for 2 student from chemistry has k = 2, so:
\(B(2)=\frac{12!}{2!(12-2)!}(0.4)^2(0.6)^{12-2}=\frac{12\cdot11}{2}\cdot(0.4)^2\cdot(0.6)^{10}=0.0638522\ldots\)The term for 3 student from chemistry has k = 3, so:
\(B(3)=\frac{12!}{3!(12-3)!}(0.4)^3(0.6)^{12-3}=\frac{12\cdot11\cdot10}{3\cdot2}\cdot(0.4)^3\cdot(0.6)^9=0.1418939\ldots\)The term for 4 student from chemistry has k = 4, so:
\(B(4)=\frac{12!}{4!(12-4)!}(0.4)^4(0.6)^{12-4}=\frac{12\cdot11\cdot10\cdot9}{4\cdot3\cdot2}\cdot(0.4)^4\cdot(0.6)^8=0.2128409\ldots\)So, the total probability will be the sum of all these term:
\(\begin{gathered} P=B(0)+B(1)+B(2)+B(3)+B(4) \\ P=0.0021767\ldots+0.0174142\ldots+0.0638522\ldots+0.1418939\ldots+0.2128409\ldots \\ P=0.4381782\ldots\approx0.438 \end{gathered}\)So, the probability is approximately 0.438.
An architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet. The height of the house is 21 feet. What is the height of the scale model in inches?
Answer:
architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet. The height of the house is 21 feet. What is the height of the scale model
The value of the height of the scale model in inches is,
⇒ 10.5 inches
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
An architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet.
And, The height of the house is 21 feet.
Now, We get;
The value of the height of the scale model in inches is,
⇒ 1.5 / 3 x 21
⇒ 1.5 x 7
⇒ 10.5 inches
Thus, The value of the height of the scale model in inches is,
⇒ 10.5 inches
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I have 2 standard, 6-sided dice; one is brown, and the other is black. I roll them both. What is the probability that the sum of the numbers that I roll is less than 4?
Answer:
1/36
Step-by-step explanation:
Since you have two six-sided die, you have 2 sets of 1-6.
Set 1: 1,2,3,4,5,6
Set 2: 1,2,3,4,5,6
Now, we need to find out how many items in the sets add up to equal a sum less than 4.
1 + 1 = 2
2 + 1 = 3
We can roll a 1 and a 1 with a 1/6 chance each.
We can also roll a 1 and a 2 with a 1/6 chance as well.
So, to get the final probability, we would multiply the two fraction together.
1/6 x 1/6 = 1/36
There is a 1/36 chance that the sum of the numbers you roll will be less than 4.
Answer:
1/36
Step-by-step explanation:
I am not a good explainer but im a genuis and when i put this as my answer for my homework i got it right
Please help me asap.
Prove that:
Sin(A+B).Sin(A-B)=Sin²A.Sin²B
Answer: Sin²A.Sin²B*
Answer:
Sin(A+B).Sin(A-B)=sin²A-sin²B
sorry if there is .I put -.
What is the difference between a histogram and a bar chart?.
Histograms are used to represent the distribution of continuous or interval data, while bar charts are used to compare different categories or groups of categorical or discrete data.
The difference between a histogram and a bar chart lies in the type of data they represent and the way they are used. Data Representation: Histogram: A histogram is used to display the distribution of continuous or interval data. It represents the frequency or count of data within specific intervals or bins. The x-axis of a histogram represents the range of values or intervals, while the y-axis represents the frequency or count of data points within each interval.
Bar Chart: A bar chart is used to compare different categories or groups of categorical or discrete data. It represents the magnitude or value of each category as separate bars. The x-axis of a bar chart represents the categories, and the y-axis represents the magnitude or value being measured. Data Type: Histogram: Histograms are suitable for displaying continuous or interval data, such as measurements on a scale (e.g., height, weight, time). The data points are grouped into intervals or bins, and the frequency or count of data within each bin is represented.
Bar Chart: Bar charts are suitable for representing categorical or discrete data, where the data points belong to distinct categories or groups. Each category is represented by a separate bar, and the height or length of the bar indicates the magnitude or value associated with that category.
Usage: Histogram: Histograms are commonly used in statistics and data analysis to visualize the distribution of data and identify patterns, central tendencies, and outliers within a continuous dataset.
Bar Chart: Bar charts are widely used in various fields to compare and present categorical data, such as comparing sales figures by product categories, analyzing survey responses by different groups, or displaying the frequency of different outcomes in a dataset.
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Use the Distributive Property to expand 4(2.9x- 7.8y) -6
please help 10 points for this
Using the Distributive Property, the expanded form of 4(2.9x - 7.8y) - 6 is
11.6x - 31.2y - 6.
How to complete the expansionTo expand the expression 4(2.9x - 7.8y) - 6 using the distributive property, we distribute the 4 to each term inside the parentheses:
4 * 2.9x - 4 * 7.8y - 6
Now, let's simplify each term:
11.6x - 31.2y - 6
Therefore, using the Distributive Property, the expanded form of 4(2.9x - 7.8y) - 6 is 11.6x - 31.2y - 6.
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Tina´s family is taking a road trip. If they travel for 3.5 hours on the first day, 2 hours on the second day 4.5 hours on the third day, and 4 hours on the fourth day, how long did they drive overall
Answer:
14.
Step-by-step explanation:
this a addition problem since it says "overall".
you simply add them.
One of the legs of a right triangle measures 2 cm and its hypotenuse measures 18 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
17.9
Step-by-step explanation:
use the equation for specific heat capacity to determine the function needed to solve for the variables associated with temperature change.
C = Q/mT, where C is the specific heat capacity, Q is the heat energy, m is the mass, and T is the temperature change, is the equation for specific heat capacity. C = Q/mT is the function that must be used to solve for the variables related to temperature change.
C = Q/mT, where C is the specific heat capacity, Q is the heat energy, m is the mass, and T is the temperature change, is the equation for specific heat capacity. This equation can be used to determine how much energy is required to alter the temperature of a given mass by a certain amount. The formula C = Q/mT must be used to find the variables related to temperature change. According to this equation, the specific heat capacity (C) is multiplied by the temperature change (T) to determine the amount of heat energy (Q) required to create a temperature change (T) in a given mass (m). The specific heat capacity (C) and mass can be multiplied to find the heat energy (Q) by rearranging the equation (m).
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Harlon wrote the equation uppercase A = 18 (x squared + 1) to find the area of a rectangle that has a length of x squared + 1 and a width of 18. He solved for x and got x = plus-or-minus StartRoot StartFraction uppercase A Over 18 EndFraction minus 1 EndRoot Which of the following is an equivalent equation for x?
Answer: x= a-18/18
Step-by-step explanation:
The expression equivalent to this is letter A. x= ±√(A-18/18)
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
To solve for x in the equation for the area which was given to be;
A = 18(x^2 + 1),
So, we divide both sides of the equation by 18 first.
A/18 = x^2 + 1
Then, we subtract 1 from both sides of the equation;
A/18 – 1 = x^2
Then, we simplify the expression in the left side of the equation;
(A – 18)/18 = x^2
And obtain the square root from both sides of equation,
x= ±√(A-18/18)
Therefore, The expression equivalent to this is letter A. x= ±√(A-18/18)
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Four hundred registered voters were randomly selected and asked whether gun laws should be changed. Three hundred said "yes," and 100 said "no." Refer to Exhibit 7-2. The point estimate of the proportion in the population who will respond "yes" is _____.
The point estimate of the proportion of the population who will respond "yes" is 0.75 or 75%, based on the responses of 300 out of the 400 registered voters surveyed.
In this scenario, 300 out of the 400 registered voters surveyed responded "yes" when asked about changing gun laws. To estimate the proportion of the entire population who would respond "yes," we can use the sample proportion as a point estimate. The sample proportion is calculated by dividing the number of "yes" responses (300) by the total number of respondents (400).
Therefore, the point estimate is 300/400 = 0.75 or 75%. This means that, based on the sample data, we can estimate that approximately 75% of the population would respond "yes" when asked about changing gun laws.
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What would be the height of 1000 Canadian Dimes?
The height of 100 Canadian dimes is 1220 millimeter.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have 1000 Canadian dimes.
Assume that the height of 100 Canadian dimes is [x] mm. Then, we can write -
[x] = 1000 x 1.22
[x] = 1220 mm
Therefore, the height of 100 Canadian dimes is 1220 millimeter.
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QUESTION 4 Arrange these numbers from least to greatest:
PLEASEEEEEE!!!
thanks..
Answer:
The resulting line would be x=10, which looks like a vertical line at the x-value of 10
Step-by-step explanation:
-7x=-70
You are trying to isolate the x, which means you must divide both sides by -7
Fortunately, this results in the right side being 10, so x=10.
Drag each label to the correct location on the image.
Match each number to the type of notation it is expressed in:
5.91E10
0.0000734
2.66 x 10^-3
641,000,000,000
Standard Notation or Scientific Notation
Answer:
See below
Step-by-step explanation:
Given numbers:
5.91E10 0.0000734 2.66 x 10^-3 641,000,000,000Standard notation:
0.0000734641,000,000,000Scientific Notation:
5.91E10 2.66 x 10^-3Answer:
The guy above me is right
Step-by-step explanation:
Given numbers:
5.91E10
0.0000734
2.66 x 10^-3
641,000,000,000
Standard notation:
0.0000734
641,000,000,000
Scientific Notation:
5.91E10
2.66 x 10^-3
if 25% of an item is $21.00, what is the original price?
Answer:
Hope it helps dear.Please let me know
y =
the solution to the
You can use the interactive
-2x +2y = -4
3x + 3y = -18
Answer:
ur welcoem
Step-by-step explanation:
What is the volume of a cylinder with base radius 4 and height 5?
Either enter an exact answer in terms of m or use 3.14 for t and enter your answer as a decimal.
Answer:
251.2 units³ ; 80π units³
Step-by-step explanation:
Volume of a Cylinder is: \(V=\pi r^2 h\)
'r' is the radius.
'h' is he height.
The cylinder has a base radius of 4 units and the height 5 units.
Using 3.14 for Pi:\(V=3.14*4^2*5\\V=3.14*16*5\\V= 50.24 * 5\\\boxed {V=251.2}\)
The approximate volume is 251.2 units³.
In terms of pi:\(V=\pi 4^2*5\\\rightarrow 4^2=16\\V=\pi 16*5\\V=\pi 80\\\boxed {V=80\pi}\)
The exact volume is 80π units³.
FILL IN THE BLANK. 1. the steps of the analytical problem-solving model include: identifying the problem,___, selecting alternatives, implementing a solution, and evaluating the situation.
The steps of the analytical problem-solving model include: identifying the problem, exploring alternatives, building an implementation plan, implementing a solution, and evaluating the situation.
What is analytical problem solving ?Analytical problem solving, as we've defined it above, refers to the approaches and methods you use rather than the particular issue you're trying to resolve.
Analytical issue solving is a crucial prerequisite for problem resolution; the problem itself does not determine whether you need it.
Analytical problem solving involves recognising a problem, investigating it, and then creating ideas (such as causes and solutions) around it.
Solving analytical problems calls for inquiry, examination, and analysis that encourages additional study of the subject (including causality, symptoms, and solution).
According to the steps involved in analytical problem solving model:
The ability to examine a situation, The ability to research and focus on key aspects,The ability to analyze the facts and data around the situationThe ability to prioritize and identify critical aspectsThe ability to build an argument to define a problem The ability to investigate and propose root cause(s), while also highlighting the strengths and weaknesses of this argument.To learn more about analytical model, visit:
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the lengths of trout are normally distributed with a mean of 18 cm and a standard deviation of 5 cm. do we know the sampling distribution of the average length of trout in a sample of size 16?
The sampling distribution of the average length of trout in a sample of size 16 is -0.4.
Given that,
The lengths of trout in a lake are normally distributed with a mean of 18 cms and a standard deviation of 5 cms
To find : Enter the z-score of a trout with a length of 16 cms.
Formula to find z score is
Z= length - mean / standard deviation
z = (X-u)/σ
X is length
u is mean
σ is standard deviation
Z = 16 - 18 / 5
Z = 2/5 = -0.4
Length = 16, mean = 18, standard deviation = 5
z = -0.4
So, the z-score = -0.4
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"Jade and Jackson go to Cracker Barrel and order $62.60 worth of food. They want to tip their waiter 20%. They also have to pay a tax of 5% on the original bill. What is the final cost of the meal?"
I just need help please!!!!!!
Answer:
78.25
Step-by-step explanation:
First find the tip.
62.60 * 20%
62.60*.2 = 12.52
Then find the tax
62.60 * 5%
62.60 * .05
3.13
Now add the cost of the food, tip, and tax.
62.60+12.52+3.13
78.25
select the range i12:i14 and simultaneously insert the frequency function in all of the cells to determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14. divide the function by the number of records in the data to calculate the results as percentages.
We can select the range i12:i14 and simultaneously insert the frequency function in all of the cells to determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 This can be answered by the concept of Percentage.
To determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 and calculate the results as percentages, we need to select the range i12:i14 and insert the frequency function in all of the cells.
To follow the steps mentioned in the question, we need to perform the following:
Select the range i12:i14 by clicking on cell i12, dragging down to cell i14 while holding down the left mouse button.
Click on the formula bar at the top of the screen and type the following formula: "=FREQUENCY(Data!D2:D100,H12:H14)/COUNT(Data!D2:D100)*100". Here, "Data!D2:D100" is the range of data where the milestone goals are recorded, and "H12:H14" is the range of criteria we want to use to determine whether an employee has reached their milestone goal.
Press "Ctrl+Shift+Enter" to enter the formula as an array formula. This will insert the frequency function in all of the cells in the selected range.
The results will be displayed as percentages, which can be formatted using the percentage format option in the "Home" tab.
Therefore, by following these steps, we can select the range i12:i14 and simultaneously insert the frequency function in all of the cells to determine the frequency that employees reach their milestone goals based on the criteria in the range h12:h14 and calculate the results as percentages.
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