A research team conducted a study showing that approximately 30% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 30 businessmen, all of whom wear ties, what are the following probabilities?
a. at least one tie is too tight
b. more than two ties are too tight
c. no tie is too tight
d. at least 18 ties are not too tight
Answers
Answer:
a) 0.9998
b) 0.9979
c) 0.7
d) 0.9155
Step-by-step explanation:
P( people who wear their ties tightly ) = 0.3
P( people who do not wear their ties tightly ) = 1 - 0.3 = 0.7
sample size ( n ) = 30
Given that the events are independent and there are only two outcomes we will apply Binomial distribution
a) P( at least one tie is too tight )
P ( x ≥ 1 ) = 1 - P ( x < 1 ) = 1 - P ( x = 0 )
= 1 - 0.00002 = 0.9998 ( excel function: 1 - BINOMDIST(0,30,0.3,0) )
b) P( more than two ties are too tight )
P ( x > 2 ) = 1 - P ( x ≤ 2 ) = 1 - BINOMDIST(2, 30, 0.3, 1 )
= 1 - 0.002113178
= 0.9979
c) P ( no tie is tight )
P ( x = 0 ) = 0.7
d) P( at least 18 ties are not too tight ) i.e. ( P = 0.7 )
P ( x ≥ 18 ) = 1 - P( x ≤ 17 )
= 1 - BINOMDIST ( 17, 30, 0.7, 1 )
= 1 - 0.08447006
= 0.9155
Related Questions
Determine ratio of A to B. Round as indicated.
A = 24.7% is the divorce rate in City A
B = 28.7% is the divorce rate in City B
(Round to the nearest hundredth when necessary.)
Select one:
O a. 0.09
O b. 8.61
OC. 0.86
O d. 1.16
Answers
Ratio of A to B is option c 0.86
Given,
Divorce rate in City A = 24.7%
Divorce rate in City B = 28.7%
We have to find the ratio of A to B
First we have to change the percentage to fraction form.
That is,
Divorce rate in City A = 24.7% = 24.7/100
Divorce rate in City B = 28.7% = 28.7/100
Now, ratio of A to B
(24.7/100) : (28.7/100)
Equate this into fraction form.
That is, A : B = A/B
Therefore,
(24.7/100) : (28.7/100)
= (24.7/100) / (28.7/100)
= 24.7 × 100 / 28.7 × 100
= 2470 / 2870
= 0.86 approximately.
That is the ratio of A to B is 0.86.
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if i run a 5.31 second in 40 meter what would i run in a 40 yard dash
Answers
Answer:
im not sure , sorry... i wish i could have helped
Write the slope of tangent and normal to the curve y=f(X) at (x1,y1).
Answers
The slope of the tangent line is:
a = (df(x1)/dx)
The slope of the normal one is:
a' = -1/(df(x1)/dx)
How to find the slope of the tangent line?For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.
So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:
df(x1)/dx
And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:
a*(df(x1)/dx) = -1
a = -1/(df(x1)/dx)
Where df/dx reffers to the derivative of f(x).
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At an amusement park, 15 riders ride the race cars every 20 minutes and 35 riders ride the ferris wheel every 60 minutes. Which ride has the greater ratio of riders?
Answers
Answer: the Ferris Wheel
Step-by-step explanation:
You write 6 3/10 pages of a report in 2 1/3 hours. What is the average number of pages you write per hour?
Answers
the answer is 2 5/14
Answer:
Step-by-step explanation:
To find the average number of pages written per hour, we need to divide the total number of pages written by the total time taken:
Total pages written = 6 3/10 = 63/10
Total time taken = 2 1/3 = 7/3
Average pages written per hour = Total pages written / Total time taken
= (63/10) / (7/3)
= (63/10) x (3/7)
= 9/2
Therefore, the average number of pages written per hour is 9/2, which is equal to 4.5 pages per hour.
Which property would allow you to use mental computation to simplify the problem 27 + 15 + 3 + 5? additive identity additive inverse commutative property of addition distributive property
Answers
Answer:
Commutative Property
Step-by-step explanation:
Additive Identity: If you add a real number to zero or add zero to a real number, then you get the same real number back.
Additive Inverse: When you add the same number but reversed sign, you get 0.
Commutative Property: a + b = b + a
Addition distributive property: a(b+ c) = ab + ac.
In this case, we use the commutative property:
27 + 15 + 3 + 5 = 27 + 3 + 15 + 5.
We know that 27 + 3 = 30 and 15 + 5 = 20, so we get 50 quickly using mental math.
Answer:
Communitive
Step-by-step explanation:
can someone help me i lost
Answers
Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answers
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
The outdoor temperature declines 3 degrees each hour for 5 hours. What is the change in temperature at the end of those 5 hours?
Answers
Answer: -15 degrees.
Step-by-step explanation:
1. Multiply 3 by 5
3 x 5 = 15
Your answer is 15
Multiplication is the process of multiplying. The change in temperature at the end of those 5 hours is 15 degree.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the outdoor temperature declines 3 degrees each hour for 5 hours. Therefore, the total change in outdoor temperature at the end of those 5 hours is,
Total change in outdoor temperature = 3 degree per hour × 5 hours
= 15 degree
Hence, the change in temperature at the end of those 5 hours is 15 degree.
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please solve the question attached
Answers
1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.
2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.
What more should you know about the producer thoery?In the standard producer theory, a producer minimizes costs for a given level of output.
This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).
The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).
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What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
Answers
An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
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2) WILL MAKE BRAINLIEST
write the slope-interception form of the equation of each line.
Answers
Answer:
1.) y= 3
2.) y = 3/4 x -3
Step-by-step explanation:
I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
Answers
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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In the making of ball bearings, diameters vary from one bearing to the next because of minor variations in the
manufacturing process. The diameter of the ball bearings varies according to a distribution that is approximately Normal
with mean 11.5 mm and standard deviation 0.05 mm. Two ball bearings are randomly selected. Find the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm.
Answers
On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
he diameter of the ball bearings varies according to a distribution that is approximately Normal
mean 11.5 mm and standard deviation 0.05 mm
the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm
Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
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cuál sería la excepción de 41 ??
Answers
Aquí, queremos escribir ecuaciones donde el resultado de la variable es el número 41;
\(x\text{ + 2 = 43}\)El valor de x en la ecuación anterior es 41
Escribamos una segunda ecuación;
\(2y\text{ = 82}\)El valor de 'y' aquí también es 41
Which of the following is a true statement of the figure?
An image of a triangle ABC. The angle bisector of angle B is ray BD. Point D lies on side AC.
Question 1 options:
A
D
D
C
=
D
C
C
B
A
C
A
B
=
D
B
D
C
A
D
D
C
=
A
B
C
B
B
C
B
A
=
D
C
C
B
Answers
Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.
What is an angle bisector?An angle bisector is the line segment that bisects the angle into two equal halves.
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
Ray BE is a bisector of angle CBA,
∠CBE = ∠EBA = 60°
∠EBD = ∠EBA - ∠DBA
∠EBD = 60 - 30 = 30
So,
∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]
Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Which of the following statements is true if ray BE is a bisector of angle CBA?
A. Ray BD is a bisector of angle CBA.
B. ∠EBD is congruent to ∠CBE.
C. Ray BE is a bisector of angle ABE.
D. ∠EBD is congruent to ∠DBA.
Solve by Factoring:
2x^2 - x - 3 = 0
Answers
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
by what percent did the Howard family water bill increase from May to June? May $65 June $110
Answers
Answer:
45
Step-by-step explanation:
Answer:
41%
Step-by-step explanation:
\(\frac{65}{110}\) as a percentage is 59%
If you add 41%, you end up at $110.
Please Solve, Thank you!
Answers
Answer:
1711
Step-by-step explanation:
\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)
Make sure to follow order of operations!
6. A bus station has 8 buses that hold a total
of 416 passengers. Each bus holds the same
number of passengers. How many passengers
could 20 buses hold?
Answers
Answer:
1040 passengers
Step-by-step explanation:
416÷8=52
52×20=1040
Your welxome
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answers
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
15 pies a m regla de 3
Answers
Answer:
5m
Step-by-step explanation:
regla de 3:
1m = 3ft
15 pies ÷ 3 = 5m
O
X
y
X
y
X
y
X
y
0
2
0
0
-1
0
1
0
5
2
113
1
2
2
8
4
WIN
3
3
4
11
2.5 -2.5-7.5 -12.5
6
W/W
5
6
Select all table’s that represent proportional relationship between x and y
Answers
All tables that represent proportional relationship between x and y are:
B. table B.
E. table E.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the x-variable.x represents the y-variable.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)
Constant of proportionality, k = 1.
Therefore, the required linear equation is given by;
y = kx
y = x
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Help me evaluate a composition of functions
Answers
Answer:
2√2
Step-by-step explanation:
\(g(h(10))=g(2\cdot10-8)=g(12)\\\\g(12)=\sqrt{12-4}=\sqrt{8}=2\sqrt{2}\\\\\boxed{g(h(10))=2\sqrt{2}}\)
Please help with this 1-3
Answers
Answer:
1 is a
2 is c
3 is b
Step-by-step explanation:
Need an Answer!!!!
Due at 5pm
Answers
Answer: Most probably g-6.
Step-by-step explanation:
subtract g-5-1
Multiple Choice Question:
x2+2x-48=0 is a(n)
A.) Equation
B.) Expression
Answers
Answer:
This is an equation.
Step-by-step explanation:
An expression would mean that there is no equal sign, but since there is, that makes it an equation.
write the equation of the line in slope-intercept form given the follow\(slope = - \frac{5}{4} \: y - intercept \: (0 \: - 8)\)
Answers
Let's begin by identifying key information given to us:
\(\begin{gathered} slope=-\frac{5}{4}\: \\ y-intercept\: (0\: -8) \end{gathered}\)The point-slope equation is given by:
\(\begin{gathered} y-y_1=m(x-x_1) \\ y-intercept\: (0\: -8)\Rightarrow(x_1,y_1)=(0,-8) \\ (x_1,y_1)=(0,-8) \\ m=-\frac{5}{4} \\ y-\mleft(-8\mright)=-\frac{5}{4}(x-0) \\ y+8=-\frac{5}{4}x-0 \\ y=-\frac{5}{4}x-8 \\ \\ \therefore\text{The slope-intercept form is }y=-\frac{5}{4}x-8 \end{gathered}\)
1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
Answers
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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The coordinates of the three vertices of a square are (4,14) (10,14) and (4,8). What are the coordinates of the missing vertex
Answers
Given that the coordinates of the three vertices of a square are (4, 14), (10, 14), and (4,8).
The missing coordinate will be at (10,8) on the coordinate plane for the given square.
VERTEX: WHAT IS IT?A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.
Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).
The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.
We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.
We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.
The missing vertex therefore has the coordinates (10,8).
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The missing coordinate will be at (10,8) on the coordinate plane for the given square.
VERTEX: WHAT IS IT?A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.
Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).
The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.
We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.
We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.
The missing vertex therefore has the coordinates (10,8).
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