Answer:
18 inches
Step-by-step explanation:
1 yard = 36 inches
radius = 36/2 = 18 inches
There are 9 counters in a bag.
7 of the counters are green.
2 of the counters are blue.
Ria takes at random two counters from the bag.
Work out the probability that Ria takes one counter of each colour.
The probability of one of the two events listed in part (a) can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated
The event for which the probability can be calculated from the two events given is event B.
Given that:
Mean = 2.5 children per family
Standard deviation = 1.3 children per family
Here, for event B, the sample size is going to take 40.
So, the distribution can be formulated to be approximately normal distribution since the sample size is 40 which is greater than 30.
So, the mean is the same which is 2.5.
The standard deviation can be calculated as 1.3/√40.
So, event B can be calculated for the probability.
Hence the event is event B.
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The complete question is given below:
The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family.
Event A: Randomly selecting a family from the United States that has 3 or more children.
Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.
The probability of one of the two events can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated?
Please help school is ending soon!
Two days later, Kelly surveyed the same 13 classmates and found that none of them had been given math homework since she last surveyed them. By how much does the mean of Kelly’s second data set change in comparison with the mean of the data set in her original survey? Explain how to determine the change in the means without calculating the mean of either data set.
Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.
Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.
In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.
Aaron had $22 to spend on 4 beakers for his science class. After buying them, Aaron had $2 left. How much did each of the beakers cost?
Answer:4
Step-by-step explanation:22-4=18-4=14-4=10-4=6=2
Consider the equation, x2 3x + 4, where x represents a real number.a. Are the expressions x2 and 3x + 4 algebraically equivalent?b. The following table shows how we might "sift” through various values to assign to the variable symbol x in the hunt for values that would make the equation true.
(a)
The expression are equivalent to each ohter if both expressions give same value for all assign values of x. From the table it can be observed that both expression do not give same value for all values of x. Thus expression
\(x^2\)and 3x + 4 are not eqivalent to each other.
(b)
From the table, it can be observed that values of the expression are equal for x = 4. So equation
\(x^2=3x+4\)holds true for x = 4.
If 25x^2-35x-18 is rewritten as a^2-7a-18, what is a in terms of x?
In the algebraic expression, a in terms of x is 5x
What is a in terms of x?An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
We have:
25x²-35x-18
We can rewrite 25x²-35x-18 as follow:
25x²-35x-18 = 5²x² - 7*5x - 18
= (5x)²- 7(5x) - 18
Comparing (5x)²- 7(5x) - 18 with a²-7a-18:
a = 5x
Therefore, a in terms of x is 5x
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Justin has 4 more marbles than lee and Cindy has 3 times as many marbles as justin if lee has N marbles .Write an expression that could be used to determine haw many marbles Cindy has?
Answer: (n+4)*3
Step-by-step explanation:Justin has 4 more (+) so that mean the first part of the expreshion would be n+4 then Cindy has 3 times as Justin so then u would have to multply n+4 by 3 to get how much Cindy.:)
6. Subtract (-2)-3-6. Hint: Using the order of operations, first subtract the first two numbers, then subtract 6 from the result.
O-7
07
O 11
O-11
The value of the expression according to the order of operations is -11. Thus option D is correct.
According to the statement
We have to find that the value of the given expression.
So, For this purpose, we know that the
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.
From the given information:
The expression are :
(-2)-3-6
Now solve it with the order then
(-2)-3-6 = (-2)-3-6
(-2)-3-6 = -2-3-6
Now add the first two terms
then
(-2)-3-6 = -5-6
Now, Add next two terms
Then
(-2)-3-6 = -11.
The value becomes -11.
So, The value of the expression according to the order of operations is -11. Thus option D is correct.
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whats x-3y=6 in slope intercept form ?
Answer:
y = 1/3X - 6
Step-by-step explanation:
Which of the following best describes a triangle with one right angle and two congruent sides
Answer:
isosceles triangle
Can someone help me I need it to be broken down
Answer:
\(x + 23 + x + 80 = 180 \\ 2x + 103 = 180 \\ 2x = 77 \\ x = 38.5\)
Use research to answer questions #5-6.
5. Conduct research to locate where these four ancient cultures evolved. How close was your mental map of these civilizations to the correct location?
6. Conduct research and provide three facts about each of these geographic regions
Ancient Egypt: Ancient Egypt evolved in the northeastern part of Africa, along the banks of the Nile River.
It is situated in present-day Egypt.
The mental map of Ancient Egypt's location is generally accurate.
It is commonly associated with the Nile River and the northeastern part of Africa.
Three facts about Ancient Egypt:
Ancient Egypt had a complex civilization that lasted for over 3,000 years. It was renowned for its monumental architecture, such as the pyramids and temples, which were built as tombs for pharaohs and places of worship.
The Egyptian civilization developed a sophisticated writing system known as hieroglyphs.
It consisted of pictorial symbols and was used for religious texts, administrative purposes, and monumental inscriptions.
Ancient Egypt had a polytheistic religion with a pantheon of gods and goddesses.
They believed in the afterlife and practiced mummification to preserve the bodies of the deceased for the journey to the next world.
Since the specific geographic regions haven't been specified, it's difficult to provide three facts about each one.
However, I can provide a general approach to researching and finding facts about different regions. To gather information, one can consult reputable sources such as history books, academic journals, or online databases.
By searching for specific ancient civilization or regions, one can uncover a wealth of knowledge about their history, culture, achievements, social structures, art, architecture, and more.
It's advisable to cross-reference information from multiple sources to ensure accuracy and gain a well-rounded understanding of each geographic region and its ancient cultures.
It's important to conduct further research to gather comprehensive information about these ancient civilizations and their geographic regions.
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Suppose that $9500 is placed in an account that pays 9% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
so
(b) Find the amount in the account at the end of 2 years.
$
?
Answer:
$11286.95 second year
$10335 first year
Step-by-step explanation:
9% of 9500 is 855, 9500 plus 855 = 10335. (first year)
9% of 10335 is 931.95, and 10335+931.95 is 11286.95. (second year)
The amount in the account at the end of 1 year $10335 (first year)
The amount in the account at the end of 2 years $11286.95.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
here, we have,
$9500 is placed in an account that pays 9% interest compounded each year.
so, we get,
9% of 9500 is 855,
9500 plus 855 = 10335. (first year)
again,
9% of 10335 is 931.95,
and 10335+931.95 is 11286.95. (second year)
Hence, The amount in the account at the end of 1 year $10335 (first year)
The amount in the account at the end of 2 years $11286.95.
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simplify each expression by writing it without the absolute value symbol
|120-x| if x<120
|x-120| if x<120
When x is less than 120, the simplified expressions are:
|120 - x| simplifies to 120 - x
|x - 120| simplifies to x - 120
We have,
To simplify the expressions without the absolute value symbol, |120 - x| and |x - 120|, when x is less than 120:
For |120 - x| if x < 120:
Since x is less than 120, we can rewrite the expression as:
120 - x
For |x - 120| if x < 120:
Since x is less than 120, we can rewrite the expression as:
x - 120
Therefore,
When x is less than 120, the simplified expressions are:
|120 - x| simplifies to 120 - x
|x - 120| simplifies to x - 120
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Round 15.78947368 to two decimal
Places
Pls pls helppp
Answer:
= 15.79
Step-by-step explanation:
Find the number in the hundredth place (8) and look one place to the right for the rounding digit (9). Round up if this number is greater than or equal to 5 and round down if it is less than 5.
The given number i.e. 15.78947368 rounded to two decimal places is 15.79.
Given that,
The given number is 15.78947368.Here we have to rounded in 2 decimal places.Based on the above information, the calculation is as follows:
Here we have to check whether the digit is below 5 or above. If is above so the next number should be rounded.
Like 15.789
Here 8 is greater than 5
So for two decimals it is 15.79.
Therefore we can conclude that the given number i.e. 15.78947368 rounded to two decimal places is 15.79.
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Rate Of 5 Grams Per Square Centimeter Per Year. At The Same Time, These Leaves Decompose At A Continuous Rate Of 65 Percent Per Year.A. Write A Differential Equation For The Total Quantity Q Of Dead Leaves (Per Square Centimeter) At Time T:Dt/DQ= ?B. Sketch A Solution To Your Differential Equation Showing
Dead leaves accumulate on the ground in a forest at a rate of 5 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 65 percent per year.
A. Write a differential equation for the total quantity Q of dead leaves (per square centimeter) at time t:
dt/dQ= ?
B. Sketch a solution to your differential equation showing that the quantity of dead leaves tends toward an equilibrium level. Assume that initially (t=0) there are no leaves on the ground.
What is the initial quantity of leaves? Q(0)= ?
What is the equilibrium level? Qeq= ?
Differential equation of the total quantity Q of dead leaves at time t= dt/dQ = -0.65Q + 5. and 7.69 grams per square centimeter is the equilibrium level.
The differential equation for the total quantity Q of dead leaves (per square centimeter) at time t is given by:dt/dQ = -0.65Q + 5.B.
Assuming that there are no leaves on the ground initially, t = 0.
Q(0) = 0.
Qeq = 7.69 grams per square centimeter.
The solution to the differential equation is given by: Q(t) = (20/13) + Ce^(-0.65t) where C is an arbitrary constant. At equilibrium, dQ/dt = 0, or -0.65Q + 5 = 0.Qeq = 7.69 grams per square centimeter is the equilibrium level.
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first to answer correctly will be marked brainliest
Answer:
D & B
Step-by-step explanation:
\(f(x)=(x-2)^{2} -3\)
The vertex: (2, -3)
\(f(2)=(2-2)^{2} -3=0-3=-3\)
Hope this helps
Answer:
1) D. f(x) = (x - 2)² - 3
2) B. (2, -3)
Step-by-step explanation:
hope this helps!
Find the surface area and volume of the square pyramid
The Surface area of the square pyramid is 360 square units. The volume of the square pyramid is 400 cubic units.
A pyramid's lateral surface area is the space occupied by its side faces or lateral surfaces. The following equation can be used to get a square pyramid's lateral surface area using its slant height:The Surface area \($=A+\frac{1}{2} P S$\)
where A=Area of base
P=Perimeter of base
S=Slant height
Surface area \(& =(10 \times 10)+\frac{1}{2}(10 \times 4) \times 13 \\\)
\(& =100+\frac{1}{2} \times 40^{20} \times 13 \\\)
\(& =100+260=360 \text { square }\)
Therefore, the Surface area is 360 square units.
(b).
The area bounded by a square pyramid's five faces is referred to as its volume. A square pyramid's volume is equal to one-third of the sum of the base's area and its height.\(& \text { Volume }=\frac{1}{3} A h \\\)
Where A=Area of base
h=height
\(& h=\sqrt{13^2-5^2} \\\)
\(& =\sqrt{169-25}=\sqrt{144} \\\)
h=12
\(\text { Volume }=\frac{1}{3} A h & =\frac{1}{3} \times(10 \times 10) \times 12 \\\)
=400 cubic units
Volume =400cubic units.
Therefore, the volume of the square pyramid is 400 cubic units.
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Qn:- Find the surface area and volume of the square pyramid
At a large company banquet for several thousand employees and their families, many of the attendees became ill the next day. The company doctor suspects that the illness may be related to the fish, one of three options for the main course. Because all the dinner guests had to preorder their meal, the doctor was able to randomly select and contact 80 people that ate the fish, of which 64 people got sick. The doctor also randomly selected (and contacted) 60 people that did not eat the fish, of which 39 people got sick. The doctor also knows that at least 1000 attendees ordered the fish.
(a) Is this convincing evidence that the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick?
Part A: The given evidence is convincing to provide the true proportion regarding the attendees.
Part B: The error is a type 1 error in the hypothesis testing.
Type 1 Error and Type 2 Error
A type 1 error in hypothesis testing occurs when a null hypothesis is rejected when it is true.
A type II error in hypothesis testing occurs when the investigator fails to reject the null hypothesis that is actually false.
Given that,
the total number of attendees who ordered fish is 1000.
And, The random selection for the sample size of the attendees who ate fish is 80 of which 64 people got sick.
Hence, The number of attendees who ate the fish and got sick is calculated as given below.
No. of attendees = 64/80
% of No. of attendees = 64/80 x 100
% of No. of attendees = 80%
The random selection for the sample size of the attendees who did not eat fish is 60 of which 39 people got sick.
The number of attendees who did not eat the fish and got sick is calculated as given below.
No. of attendees = 39/60
% of No. of attendees = 39/60 x 100
% of No. of attendees = 65%
Hence, For Part A;
The given evidence is convincing to provide the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick.
For Part B;
The mistake here is that the doctor's theory (hypothesis) got rejected regarding the number of attendees who ate the fish got sick than those who did not eat the fish.
This error is a type 1 error in the hypothesis testing.
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6 less than the product of 3 and a number
Answer:
(3n)- 6 or the other way around 6-(3n)
Step-by-step explanation:
Three different integers have a sum of 1 and a product of 36. What are they?
Answer:
The answer is 6 and -3 and -2
Step-by-step explanation:
The three integers are 6 and -3 and -2 having a sum of 1 and a product of 36.
What are integers?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.
A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.
Given that three different integers have a sum of 1 and a product of 36. The number will be calculated below:-
Product = 6 x-3 x-2 = 36
Sum = 6 - 3 - 2 =1
Therefore, the three integers are 6 and -3, and -2 having a sum of 1 and a product of 36.
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WILL GIVE BRANLIEST !!!!!can you do it? i'm still waiting need IT
ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! NEED before jan 1, 2023!!!!
Find negative absolute value of negative three fifths.
−3.5
negative three fifths
three fifths
3.5
Answer:
three fifths
Step-by-step explanation:
The absolute value of any number is the number itself without the negative sign
The negative absolute value of negative three-fifths is a three-fifths option (C) is correct.
What is a fraction?
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The negative absolute value of negative three-fifths:
= |-3/5|
= -(3/5), y = |x| if x < 0; y = -(x)
= 3/5
Thus, the negative absolute value of negative three-fifths is a three-fifths option (C) is correct.
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One letter is chosen at random from the word THANKS. A letter is then chosen at random from the word STARK
1. Write out ALL of the outcomes in the sample space of this chance experiment.
. 2. How many outcomes are in the sample space?
3. What is the probability that the letters chosen are AA?
1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.
The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.
Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word
Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.
Probability of choosing AA = Number of favorable outcomes / Total number of outcomes
Probability of choosing AA = 0 / 30 = 0.
Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
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645 plus 763 to the nearest hundredth
Answer:
1408
What you have to do is 645 + 763 = 1408 that's how you doing I think so and sorry if I did it wrong
When talking about a scale drawing or model, _____________ is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object. How do we write this as a fraction?
When talking about a scale drawing or model, the scale factor is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object.
This can be written as a fraction, with the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if a drawing of a building has a scale factor of 1:100 and the length of a wall on the drawing is 5 cm, the corresponding length on the actual building would be 500 cm (5 cm x 100). Therefore, the scale factor can be written as 5/500 or simplified to 1/100.
When talking about a scale drawing or model, the term you're looking for is "scale factor." It is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object. To write this as a fraction, you would place the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if the scale factor is 1:10, you would write it as 1/10.
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what is one objective of healthy people 2030 that is in the domain of mcfh? group of answer choices increase the number of abortion clinics located in geographies that are easy to access increase the proportion of women who can access fertility services increase the proportion of adolescents receiving comprehensive, evidence-based sexual education reduce the proportion of children with a parent or guardian who has served time in jail
The objective of increasing the proportion of adolescents receiving comprehensive, evidence-based sexual education is a crucial step in promoting the health and well-being of the next generation of Americans.
Healthy People 2030 is a national initiative that sets objectives to improve the health of Americans. One of the objectives in the domain of "much" is to increase the proportion of adolescents receiving comprehensive, evidence-based sexual education.
In mathematical terms, this objective can be expressed as increasing the ratio of adolescents who receive comprehensive, evidence-based sexual education to the total number of adolescents in a given population. The domain of "much" refers to the scope of this objective, which is to have a significant impact on the sexual health of adolescents nationwide.
By increasing the proportion of adolescents who receive comprehensive, evidence-based sexual education, Healthy People 2030 aims to improve outcomes related to sexual health, such as reducing unintended pregnancies, sexually transmitted infections, and sexual violence. This objective recognizes the importance of education in promoting healthy behaviors and empowering young people to make informed decisions about their sexual health.
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can anyone pls help:)?
Answer:
the last one
Step-by-step explanation:
substitute both equation
\(y = 2(4 + y) + \frac{3}{2} \\ y = 2y + 8 + \frac{3}{2} \\ y = - 9.5\)
\(x = 4 + y \\ x = 4 - 9.5 \\ x = - 5.5\)
the incubation period of ebola virus is known to have a normal distribution with a mean of 10 days and a standard deviation of 7 days suppose a group of researchers claimed that the true mean is shorter than 10 days. a test is conducted using a random sample of 23 patients. consider a rejection region suppose the test failed to reject . if the true mean incubation period is 6 days, what is the type ii error probability of the test using (round off to third decimal place)?
The required type ii error probability of the test using is 0.085.
What is probability of the test?It is determined by duplicating the pretest chances by the probability of a positive or negative test (as we will show). Post-test probability is characterized, as the likelihood of the objective problem after a symptomatic experimental outcome is known.
According to question:We have,
standard deviation = 7, mean = 6, size of the sample = 23.
P(type II error) = P(Xbar >=8 given mean =6)
=P(Z>(8-6)×√(23)/7) =P(Z>1.37)=1-P(Z<1.37)
=1-0.9147=0.0853 =0.085
Thus, required probability is 0.085
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HOW DO I DO MATH..IM NOT EVEN SMART ENOUGH TO KNOW WHAT 4x6 IS
Answer:
4*6 is 24
its like 6 circles with 4 dots inside and you just count all the dots or it could be the other way around.
there are 8 teams in 5a west conference. how many different orders
of finish are there for these 8 teams?
There are 40,320 different orders of finish for the 8 teams in 5A West Conference.
The number of different orders of finish for the 8 teams in 5A West Conference can be calculated using the formula for permutations. The formula for permutations is n!/(n-r)! where n is the total number of items and r is the number of items being arranged.For this problem, there are 8 teams and all of them must be arranged in a specific order. Therefore, we need to calculate the permutation of all 8 teams.Using the permutation formula, we have:n!/(n-r)! = 8!/(8-8)! = 8!/(0!) = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320
Therefore, there are 40,320 different orders of finish for the 8 teams in 5A West Conference.
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