Answer:
508-100p
Step-by-step explanation:
Mr. Bauer Placed the letters in the word basketball into a bag what is the probability of choosing a B not replacing it and then choosing a vowel
Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The word basketball has 10 letters.
b is one of them, hence P(A) = 1/10 = 0.1.Then, of the 9 letters, 3 will be vowels, hence P(B|A) = 3/9 = 1/3 = 0.3333.Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:
\(P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333\)
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Answer: 2/45
The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.
Each student was asked to create an expression whose quotient is 1/3. Each student and their response can be seen in the table below. Which students have answered correctly? Select all that apply. A. Angela B. Ben C. Chris D. Denice E. Elizabeth
Answer:
Pretty sure its Chris
Step-by-step explanation:
I've done this work and the only one with the answer is him.
Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would be the most reliable?
A. 200
OB. 20
C. 2000
D. 2
A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.
In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.
A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.
Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.
Option A: 200 respondents
This represents only 1% of the population.
While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.
Option B: 20 respondents
This represents only 0.1% of the population.
With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.
Option C: 2000 respondents
This represents 10% of the population.
While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.
The study may provide reasonably reliable results, but there is room for potential sampling error.
Option D: 2 respondents
This represents an extremely small sample size, accounting for only 0.01% of the population.
With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.
Based on the options provided, option C with 2000 respondents would be the most reliable study.
Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.
However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.
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A suspect of a crime is traveling on 26th Street toward Cherry Street. The diagram shows the locations of the suspect and a police officer. Your friend says that the officer should wait at point C to intercept the suspect because the officer will have the same distance to travel no matter which route the suspect takes. Is your friend correct? Explain.
AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
What is the Angle Bisector Theorem?According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.
In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.
Therefore, we can conclude as saying:
C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
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The set of all Real numbers between 4 and 7 including 4
Use properties of logarithms to condense the logarithmic expression. Write the expression as a
single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
8ln (x-6) - 11 In x
We can rewrite the expression as ln(x-6) - 11*ln(x)/8, which can then be evaluated by using a calculator.
What is logarithm?Logarithmic functions can be used to describe relationships between two variables that involve exponential rates of change.
The logarithmic expression 8ln (x-6) - 11 In x can be written as a single logarithm whose coefficient is 1 by using the properties of logarithms.
First, we rearrange the terms to put the ln terms together: 8ln (x-6) - 11lnx = ln(x-6) - 11lnx/8.
We can then use the property of logarithms that states that
log(ab) = log a + log b.
This allows us to rewrite the expression as ln(x-6/x¹¹/8). Finally, we can simplify the expression by using the property of logarithms that states that log(a/b) = loga - logb. This allows us to rewrite the expression as ln(x-6) - ln(x¹¹/8). The final expression is ln(x-6) - ln[(x¹¹/8)], which is a single logarithm whose coefficient is 1.
If we were to evaluate the expression, we could use the property of logarithms that states that logaᵇ = b*log a.
We can rewrite the expression as ln(x-6) - 11*ln(x)/8, which can then be evaluated by using a calculator.
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evaluate f(2) and lim f(x) where f(x)=5x^3+3x+1
NEED UGANT HELP really stuck xx
Answer:
0.6
Step-by-step explanation:
3+2=5
P (white) = 3/5 = 0.6
(Hopefully this works, if not, on hearty maths you can go back to your assigned tasks page and go back onto the task to get a new question if that makes sense)
These points are linear. Find the slope.
Two plants that are pure bred are crossed. One is short and one is tall, Tall is dominant. What are the expected phenotypes for the offspring?
A. All tall
B. All short
C. Half short, half tall
D. All medium height
The expected phenotypes for the offspring is All tall.
What is Phenotype?Mendel came to the conclusion that some features predominated over other inherited traits when he noticed that a heterozygote offspring might exhibit the same phenotype as the parent homozygote. However, the connection between genotype and phenotype is rarely as straightforward as Mendel's descriptions of dominant and recessive patterns.
Given:
One is short and one is tall, Tall is dominant.
When two plants that are tall and short are crossed. They would all produce tall plants as a result, T.
The first crossing produced these children.
As a result of their parents' TT and SS genes, they all now have TS genes.
There will be some towering and some short off springs when these off springs are crossed. TS and TS will cross at this location. Given that they are all genetically tall and short.
So, The ratio of tall to short children they would have according to Mendel is 3:1.
Hence, almost All are tall.
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Find the length of side X in simple radical form with a rational denominator
The length of side X in simple radical form with a rational denominator is 25/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 5 × 5/√3
Hypotenuse, x = 25/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Help anyone? Thanks
Answer:
x = 4
Step-by-step explanation:
the angles with the equations need to be congurent for the lines to be parallel.
Thus Eq1 = Eq2
9x + 4 = 5x + 20
4x = 16
x = 4
Answer:
9x+4=5x+20[parallel lines]
9x-5x=20-4
4x=16
x=4
Step-by-step explanation:
by above information
2 questions
when can you combine like terms?
when can you NOT combine like terms?
( do not put the definiton of like terms i only need these questions answered)
Answer:
You can combine like terms when they have the same variable, same category, or same coefficient. You CANNOT combine like terms when they have none of the attributes listed above. For example, you can combine 7x and 20x, just like you can combine 3 and 4, but you can't combine 3x & 5(x^2), or 9x and 73.
The fastest speed a table-tenis ball has been hit is about 13.07 times as fast as the fastest swimming speed which is 5.35.
What is the fastest speed of a rable-tennisball?
The fastest speed a table-tenis ball is 69.92.
According to the statement
we have to find that the fastest speed of a table-tennis ball with the given information.
For this purpose, we know that the
Speed is the rate at which someone or something is able to move.
From the give information:
The fastest speed a table-tenis ball has been hit is about 13.07 times as fast as the fastest swimming speed which is 5.35.
Now, the speed of the fastest swimming is 5.35
And
the speed of the table-tenis ball has been hit is about 13.07 times as fast as the fastest swimming speed
The equation become
5.35(13.07)
Then
fastest speed a table-tenis ball = 5.35(13.07)
fastest speed a table-tenis ball = 69.92
So, The fastest speed a table-tenis ball is 69.92.
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X divided by 6/7 = 3 and 2/5
The correct value of x is 29.14 or x divided by 6/7 = 3 and 2/5 is 29.14.
Here:
X divided by 6/7 = 3 and 2/5.
x ÷ 6/7 = 3 and 2/5,
To convert into fraction.
x/1 ÷ 6/7, reciprocal of 6/7 is 7/6.
x/1 × 7/6 = 7 x/6,
3 and 2/5 = 17/5.
(7 x/6) = 17/5
x = (6 × 17)/7 × 5
x = 29.19
Therefore X divided by 6/7 = 3 and 2/5 or the value of x is 29.19.
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i need help can someone please help me
The measure of the angle m∠ZYX of the trapezoid is equal to 139°
What is a trapezoid?A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.
3x + 19 + x + 1 = 180°
4x + 20 = 180°
4x = 180 - 20 {collect like terms}
4x = 160
x = 160/4 {divide through by 4}
x = 40
m∠ZYX = 3(40) + 19 = 139°.
WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.
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Please help me find the equations for the parallel line and the perpendicular line. :(
Given the equation of a line, you can find the equation of a line perpendicular to it, knowing the following: The product of the slopes of the lines is -1, it means that:
\(m1\cdot m2=-1\)We already know the value of the first slope (which is the slope of the given line). Use this value to find the slope of the perpendicular line:
\(\begin{gathered} -\frac{5}{3}\cdot m2=-1 \\ m2=-1\cdot-\frac{3}{5} \\ m2=\frac{3}{5} \end{gathered}\)The slope of the perpendicular line is 3/5. Use this slope and the given point, to find the equation of the perpendicular line using the point slope formula, this way:
\(\begin{gathered} y-y1=m(x-x1) \\ y-4=\frac{3}{5}(x-(-5)) \\ y-4=\frac{3}{5}x+3 \\ y=\frac{3}{5}x+7 \end{gathered}\)The equation of the perpendicular line is:
\(y=\frac{3}{5}x+7\)To find the equation of the line that is parallel to the given line, use the following information: parallel lines have the same slope, it means:
\(m1=m2\)m1 has a value of -5/3, it means the parallel line also has a slope of -5/3.
Use this slope and the given point in the point slope formula, this way:
\(\begin{gathered} y-4=-\frac{5}{3}(x-(-5)) \\ y-4=-\frac{5}{3}x-\frac{25}{3} \\ y=-\frac{5}{3}x-\frac{25}{3}+4 \\ y=-\frac{5}{3}x-\frac{13}{3} \end{gathered}\)The equation of the parallel line is:
\(y=-\frac{5}{3}x-\frac{13}{3}\)Write in words: 970,001
Answer:
nine hundred, seventy thousand and one
Step-by-step explanation:
Step-by-step explanation:
Nine Hundred,Seventy Thousand and One
Rafael and Roger played tennis against each other 30 times. Each of the times they played, either Rafael won or Roger won.
The ratio of the number of times Rafael won to the number of times Roger won is 7:3
(a) Work out the number of times Rafael won.
Answer:
Rafael won 21 times.
Step-by-step explanation:
Add 7 + 3 together = 10
30 divided by 10 = 3
3 x 7 = 21
If the Milller's spend $1100 on housing, then what is their total budget?
Answer:
need more detail
Step-by-step explanation:
A certain coin is a circle with diameter 36 mm. What is the exact area of each side of the coin?
The exact area of each side of the coin is
mm?
Answer:
P=36pi
A=3324pi
Step-by-step explanation:
36 diameter so 18 radius but i dont know about what do you mean by side of the coin is it peremeter?
if it is then it is 36 pi
Area will be 18^2 pi which is 324 pi
How old is Cornell now?
Cornell is 5 years older than Amani. In 7 years the sum of their ages will be 45.
Cornell's age is 18 years old now.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amani age = x
Cornell age.
= x + 5
In 7 years the sum of their ages will be 45.
This means,
(x + 7) + (x + 5 + 7) = 45
Solve for x.
(x + 7) + (x + 5 + 7) = 45
x + 7 + x + 12 = 45
2x + 19 = 45
2x = 45 - 19
2x = 26
x = 13
Now,
Cornell age.
= x + 5
= 13 + 5
= 18
Thus,
Cornell's age is 18 years old.
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What happens to the value of a subtraction expression when you rearrange the order of the numbers?
I’m the standard equation for a line, what does the variable b stand for
In the standard equation for a line, y = mx + b, the variable b represents the y-intercept of the line.
The standard equation of a line is a way of representing a straight line in a two-dimensional Cartesian coordinate system. It is also called the slope-intercept form.
The slope represents the steepness of the line, while the y-intercept represents the value of y when x is equal to 0.
This form is useful for graphing lines, as well as for finding the equation of a line given its slope and y-intercept.
The y-intercept in the standard equation is the point where the line intersects the y-axis, which means it is the value of y when x = 0.
The slope of the line, represented by "m", determines how steep the line is, while the y-intercept determines where the line crosses the y-axis.
Thus, the b in the standard equation represents y-intercept of the line.
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Please answer fast as you can
Answer:
$25, $30
Step-by-step explanation:
3 hours costs $25
Between 3 and 4 hours costs $30
does someone know the correct answer?
Answer:
C
Step-by-step explanation:
Sarah only had $12.75 left after buying a new pair of shoes. Identify the dependent variable.
Answer:
the shoes
Step-by-step explanation:
the shoes never changed, and the amount money sarah has remaining will depend on the shoes.
the length or a rectangle is 11 centimeters less than 4 times it width its area is 20 square centimeters find the dimension of the rectangle use formula aera = length*width the width is cm
What is the solution to |x + 2| < 1?
A.
1 < x < 3
B.
-3 < x < -1
C.
x > 3 or x < 1
D.
x > -1 or x < -3