Answer: The acceleration of the stuntman is given by the second derivative of the height function, which is:
h''(t) = d²h/dt² = (-2 * 2 * t * 1000 + 1000 * -2) = -4000t + 1000
So, the acceleration is -4000t + 1000 ft/sec².
Step-by-step explanation:
If you lease a new Toyota Corolla, the dealer is offering a 24 month deal where you pay 139 per month and a 2,599 down payment
The payment when you lease a new Toyota Corolla is 5935.
How to calculate the total payment?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
From the information, you lease a new Toyota Corolla, the dealer is offering a 24 month deal where you pay 139 per month and a 2,599 down payment.
The total payment will be:
= 2599 + (139 × 24)
= 2599 + 3336
= 5935
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Complete question
If you lease a new Toyota Corolla, the dealer is offering a 24 month deal where you pay 139 per month and a 2,599 down payment. What is the total payment?
Find Power Set B = {a, b, c, d, e, f, g}
Answer:
The power set of a set B = {a, b, c, d, e, f, g} is the set of all possible subsets of B.
In mathematical notation, the power set of B is represented as P(B).
The number of elements in the power set of B is 2^n, where n is the number of elements in B. In this case, n = 7, so the number of elements in P(B) = 2^7 = 128.
The power set of B is:
{{}, {a}, {b}, {c}, {d}, {e}, {f}, {g}, {a, b}, {a, c}, {a, d}, {a, e}, {a, f}, {a, g}, {b, c}, {b, d}, {b, e}, {b, f}, {b, g}, {c, d}, {c, e}, {c, f}, {c, g}, {d, e}, {d, f}, {d, g}, {e, f}, {e, g}, {f, g}, {a, b, c}, {a, b, d}, {a, b, e}, {a, b, f}, {a, b, g}, {a, c, d}, {a, c, e}, {a, c, f}, {a, c, g}, {a, d, e}, {a, d, f}, {a, d, g}, {a, e, f}, {a, e, g}, {a, f, g}, {b, c, d}, {b, c, e}, {b, c, f}, {b, c, g}, {b, d, e}, {b, d, f}, {b, d, g}, {b, e, f}, {b, e, g}, {c, d, e}, {c, d, f}, {c, d, g}, {c, e, f}, {c, e, g}, {d, e, f}, {d, e, g}, {e, f, g}, {a, b, c, d}, {a, b, c, e}, {a, b, c, f}, {a, b, c, g}, {a, b, d, e}, {a, b, d, f}, {a, b, d, g}, {a, b, e, f}, {a, b, e, g}, {a, c, d, e}, {a, c, d, f}, {a, c, d, g}, {a, c, e, f}, {a, c, e, g}, {a, d, e, f}, {a, d, e, g}, {b, c, d, e}, {b, c, d, f}, {b, c, d, g}, {b, c, e, f}, {b, c, e, g}, {b, d, e, f}, {b, d, e, g}, {c, d, e, f}, {c, d, e, g}, {a, b, c, d, e}, {a, b, c, d, f}, {a, b, c, d, g}, {a, b, c, e, f}, {a, b, c, e, g}, {a, b, d, e, f}, {a, b, d, e, g}, {a, c, d, e, f}, {a, c, d, e, g}, {b, c, d, e, f}, {b, c, d, e, g}, {a, b, c, d, e, f}, {a, b, c, d, e, g},{a, b, c, d, f, g},{a, b, c, e, f, g},{a, b, d, e, f, g},{a, c, d, e, f, g},{b, c, d, e, f, g},{a, b, c, d, e, f, g}}
Can yo please explain the last part of this problem below
[tex]\stackrel{f(x)}{500(0.97)^x}~~ = ~~\stackrel{g(x)}{20(1.03)^x}\implies \cfrac{500(0.97)^x}{20}=1.03^x\implies 25(0.97)^x=1.03^x \\\\\\ \cfrac{25(0.97)^x}{1.03^x}=1\implies \cfrac{0.97^x}{1.03^x}=\cfrac{1}{25}\implies \left( \cfrac{0.97}{1.03} \right)^x=\cfrac{1}{25}[/tex]
[tex]\log\left[ \left( \cfrac{0.97}{1.03} \right)^x \right]=\log\left( \cfrac{1}{25} \right)\implies x\log\left( \cfrac{0.97}{1.03} \right)=\log\left( \cfrac{1}{25} \right) \\\\\\ x=\cfrac{\log\left( \frac{1}{25} \right)}{\log\left( \frac{0.97}{1.03} \right)}\implies \boxed{x\approx 54}[/tex]
If algebra tiles have the dimensions shown here, what would you call this tile collection?
In other words, what is the total area of all of the pieces?
The algebraic equation of the total area of all of the pieces is 4x + 6y + 6x² + 2xy + y².
What is the linear equation?
Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0.
We have given,
Collection of tiles of the same dimensions.
x, x², y, y², and xy.
The question examines the calculation,
Total Area = 1* x * 4 + 1 * y * 6 + x * x * 6 + x * y * 2 + y * y *1
= 4x + 6y + 6x² + 2xy + y²
Area = 4x + 6y + 6x² + 2xy + y².
Therefore, The algebraic equation of the total area of all of the pieces is 4x + 6y + 6x² + 2xy + y².
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express the distance between the given numbers using absolute value. then find the distance by evaluating the absolute value expression. 3 and 18
The distance between the points 3 and 18 is expressed as |3 - 18| and the absolute value of the expression is 15 units.
We are given two numbers 3 and 18 and we are asked to determine the distance between these two points using absolute value.
The distance between two numbers is equal to their difference and distance is always a positive quantity so the absolute value function is used over the distance to prevent a negative distance. The distance between points x and y is given by |x - y|
Put 3 and 18 in |x - y|
|x - y| = |3 - 18| = |-15|
The absolute value function is defined by |x| = x if x ≥ 0 or -x if x < 0
Here, -15 < 0. It can be concluded that |-15| = -(-15) = 15
The distance between the points 3 and 18 is expressed as |3 - 18| and the value of the expression is 15 units.
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Puppies Galore is selling puppies for $149.50. There is a sale going on that offers 45% off. What is the total selling price of one puppy?
Answer: $81.92
Step-by-step explanation:
First you must convert the 45% to a decimal.
0.45
You must multiply 0.45 by the total cost and then subtract what you get.
find the digits in the hundreds place, in the tenths place, and in the thousandths place for the following number. 401.5176
The digit in the hundreds place is 4, the digit in the tenth place is 5, and the digit in the thousandth place is 1.
To find the digit in the hundreds place, you can simply divide the number by 100 and look at the hundreds place of the result. In this case, 401.5176 ÷ 100 = 4.015176, so the digit in the hundreds place is 4.
To find the digit in the tenth place, you can look at the first digit to the right of the decimal point. In this case, the digit in the tenth place is 5.
To find the digit in the thousandth place, you can look at the second digit to the right of the decimal point. In this case, the digit in the thousandth place is 1.
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Can you solve this problem???????????????????????????????
Answer:
width = 4.2 units
Step-by-step explanation:
Easy, if the length is 65 units
65 * width = 273
width = 273 / 65
width = 4.2
the answer is 4.2
if you have the lenght and area just divided both in the equation and then you will have the answer
Which one of the following bonds has the most ionic character?
A) B-F
B) Li-F
C) H-F
D) Be - F
The bond which has the most ionic character among the given answer choices as required is; Choice B; Li-F.
Which answer choice represents the most ionic character?By definition, an ionic bond is one in which case, the bond is formed from the combination of highly electronegative and highly electropositive elements.
On this note, since the Lithium atom is the most electropositive metal and the Flourine ion is the most electropositive nonmetal, it follows that the bond which has the most ionic character is; Choice B; Li-F.
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Find the values of x for which g(x) = 5.
Answer:
The question is meaningless without the definition of the function g(x).
Please help me with this question.
The exact value of trigonometric function is ,
sin(60°+45°)= [tex]\frac{\sqrt6+\sqrt2}{4}[/tex]
cos[tex](\frac{\pi}{3}-\frac{\pi}{4})[/tex] = [tex]\frac{\sqrt2+\sqrt6}{4}[/tex].
What is trigonometric function?
The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
Here the given is
a) sin(60°+45°)
Now using formula sin(t+s)= sin t cos s+ cos t sin s then
=> sin60°cos45°+cos 45°sin60°
=> [tex]\frac{\sqrt3}{2}\times\frac{\sqrt2}{2}+\frac{1}{2}\times\frac{\sqrt2}{2}[/tex]
=> [tex]\frac{\sqrt6}{4}+\frac{\sqrt2}{4}[/tex]
=> [tex]\frac{\sqrt6+\sqrt2}{4}[/tex]
b) cos[tex](\frac{\pi}{3}-\frac{\pi}{4})[/tex]
Now using formula cos(t-s)=cos t cos s + sin t sin s then
=> [tex]cos\frac{\pi}{3} cos\frac{\pi}{4}+ sin\frac{\pi}{3}sin\frac{\pi}{4}[/tex]
=> [tex]\frac{1}{2}\times\frac{\sqrt2}{2}+\frac{\sqrt3}{2}\times\frac{\sqrt2}{2}[/tex]
=> [tex]\frac{\sqrt2}{4}+\frac{\sqrt6}{4}[/tex]
=> [tex]\frac{\sqrt2+\sqrt6}{4}[/tex]
Hence the exact value of trigonometric function is ,
sin(60°+45°)= [tex]\frac{\sqrt6+\sqrt2}{4}[/tex]
cos[tex](\frac{\pi}{3}-\frac{\pi}{4})[/tex] = [tex]\frac{\sqrt2+\sqrt6}{4}[/tex].
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p=(mv+x)=q+z
Solve for p
Solve for v
Answer:
Solve for p:
p = q + z
Solve for v:
v = (p - q - z) / m
Step-by-step explanation:
You provided an algebraic equation with multiple variables: p, m, v, x, q, and z. To solve for a specific variable, we need to isolate that variable on one side of the equation and all the other variables on the other.
To solve for p:
p = mv + x = q + z
The variable "p" is already on one side of the equation, so we don't need to do anything else.
To solve for v:
v = (p - q - z) / m
We need to isolate v on one side. Therefore we can subtract q and z from both sides to obtain the equation v = (p - q - z) / m, where v is the isolated variable on one side of the equation, and all the other variables are on the other side.
Please help me with this question.
An equation of the lines which pass through the point of intersection of the lines and are respectively parallel and perpendicular to the line 3x + 4y = 0 are as follows;
Parallel: y = -3x + 2.
Perpendicular: y = x/3 - 4/3.
What is the point-slope form?Mathematically, the point-slope form of a line is modeled by this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.In order to determine the point of intersection of the lines, we would use an online graphing calculator to graph the given system of equations, and this is given by the ordered pair (1, -1).
Additionally, the slope of the given equation 3x + 4y = 0 in standard form is equal to -3. In Geometry, two (2) lines are parallel under the following conditions:
m₁ = m₂ (m represents the slope.)
At data point (1, -1), an equation of this parallel line can be calculated in point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-1) = -3(x - 1)
y = -3x + 3 - 1
y = -3x + 2.
In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
-3 × m₂ = -1
m₂ = 1/3
At data point (1, -1), an equation of this perpendicular line in point-slope form is:
y - y₁ = m(x - x₁)
y - (-1) = 1/3(x - 1)
y = x/3 - 1/3 - 1
y = x/3 - 4/3.
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Program x has annual cost of $35,000 and in returns is expected to save the company $40,000 during the first year assuming the costs and savings are equally distributed across each month after how many months with the company recovery is investment and program x
The required Number of months with the company recovery is investment and program x are 10.5.
What is Saving?Saving enhances emotions of stability and peace of mind and offers a financial "backstop" for life's uncertainties. Savings can serve as the "seed money" for higher-yielding assets like stocks, bonds, and mutual funds if an appropriate emergency fund has been developed.
According to question:This calculation can be used to determine the payback period
Payback of month = [tex]\frac{cost of invesment}{Saving during the year}[/tex] × months in year
= [tex]\frac{35000}{40000}[/tex] × 12
= 10.5 months
Thus, required number of months are 10.5 months.
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Gavyn was thinking of a number. Gavyn doubles it and adds 4.4 to get an answer of 85.8. Form an equation with x from the information.
Answer:2x+4.4=85.8
Step-by-step explanation:
pretty sure this is the answer
Gavyn doubles the number and adds 4.4 so -> 2x+4.4 and that equals to 85.8
so it's 2x+4.4=85.8
Answer:
Step-by-step explanation:
If the original number is x, then we can say:
2x+4.4=85.8
2x=85.8-4.4
2x=81.4
x=40.7
To check,
40.7*2=81.4
81.4+4.4=85.8
Hence, x is 40.7
What is the percent of change from 400 to 600?
The percent of change from 400 to 600 is 33.34%.
What is Percentage Increase?
The final increase in quantity is expressed as a percentage by the term "percentage increase". A quantity's growth from its starting value to its final value through time is compared using the percentage increase formula. The final value minus the initial value, divided by the initial value, and multiplied by 100 are how this formula is mathematically expressed.The formula for percentage increase is given as, [tex]\% \text Increase = \frac{\text FV - IV}{FV} \times 100[/tex], where FV is the Final Value and IV is the Initial Value.It is given that the percent of change is from 400 to 600.
There is an increase from 400 to 600, so the percent of change is an increase.
[tex]\% \text Increase = \frac{\text FV - IV}{FV} \times 100[/tex]
Here, the final value (FV) = 600 and initial value (IV) = 400.
Substituting the given values in the above formula, we get
[tex]\% \text Increase = \frac{600-400}{600} \times 100\\\implies \% \text Increase = \frac{200}{600} \times 100\\\implies \% \text Increase = 33.34 \%[/tex]
Therefore, the percent of change from 400 to 600 is 33.34%.
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What is the coefficient in the expression?
10 – 6 + 5n
The coefficient in the expression is 5.
How to find the coefficient in an algebraic expression?A coefficient is a numerical value that is multiplied by a variable in an algebraic expression.
In a polynomial expression, coefficients can be the numbers in front of the variables. The coefficient determines the size and direction of the variable's effect on the expression as a whole. For example, in the expression 2x, the coefficient is 2.
Therefore, the coefficient in the expression 10 – 6 + 5n is 5.
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Answer: 5
Step-by-step explanation:
.6(2x +4.5y) -.3y = m(x+ny) solve for n
Answer:
n=0.2(6x+12y-5mx)/my
Step-by-step explanation:
Ms brous has some overdue library books. The function t(b)=4b+5 with t being the total the amount she paid in fees and b being the number of books
A) state the independent and dependant variables
B) use the input/output table to find some of the ordered pairs of the function (can't attach but the b values are 1-5)
C)determine if the domain is continuous or discrete. Explain.
D)find the domain and range of the function.
Answer:
A) The independent variable is the number of books (b) and the dependent variable is the total amount paid in fees (t).
Step-by-step explanation:
B) The input/output table for this function would be as follows:
b t
1 9
2 13
3 17
4 21
5 25
So some of the ordered pairs of the function are (1, 9), (2, 13), (3, 17), (4, 21) and (5, 25)
C) The domain of the function is discrete because it only includes specific values of b, the number of books. This is the only possible values of b are the natural numbers.
D) The domain of the function is all natural numbers b>=1, since it doesn't make sense for the number of books to be negative or zero. The range of the function is all natural numbers t>=5, since it doesn't make sense for the total amount paid to be negative or zero.
A state imposes a 5% sales tax on items of clothing that cost more than $175. The tax applies only to the difference of the price of the item and $175. A shopper has $400 to spend on a new suit. Write and solve an inequality to find the prices p of suits that the shopper can afford. Assume that p ≥ $175.
A state imposes a 5% sales tax on items of clothing that cost more than $175. The tax applies only to the difference of the price of the item and $175. A shopper has $400 to spend on a new suit. Write and solve an inequality to find the prices p of suits that the shopper can afford. Assume that p ≥ $175.
A state imposes a 5% sales tax on items of clothing that cost more than $175. The tax applies only to the difference of the price of the item and $175. A shopper has $400 to spend on a new suit. Write and solve an inequality to find the prices p of suits that the shopper can afford. Assume that p ≥ $175.
A state imposes a 5% sales tax on items of clothing that cost more than $175. The tax applies only to the difference of the price of the item and $175. A shopper has $400 to spend on a new suit. Write and solve an inequality to find the prices p of suits that the shopper can afford. Assume that p ≥ $175.
A state imposes a 5% sales tax on items of clothing above $175. The tax applies only to the difference between the price of the item and $175. A shopper has $400 to spend on a new suit. Write and solve an inequality to find the prices p of suits that the shopper can afford.
The solution of the inequality means p = { range of values greater than $175 up until $400 }
We need to write and solve an inequality to find the prices p of coats that the shopper can afford.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given that the value of price, p of coats the shopper can afford is greater than $175.
p > 175 can be translated as 175 < p
The shopper has $400 to spend on a winter coat such, p ≤ $400 .
The two inequalities can therefore be combined to yield a single inequality thus;
175 < p ≤ $400
The solution for prices of coat, p that the shopper can afford ranges between;
p = { range of values greater than $175 up until $400 }
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Which of the following is most likely the next step in the series?
#
C.
H
•
H
Answer:i don't know maybe C
When you solve the equation x^3−4x^2+3x=0,
how many roots are greater than 1/3
?
Answer:
0
Step-by-step explanation:
[tex] {x3 \: - 4 {x \: }^{2} + 3x \: = 0}^{} [/tex]
solve for x
[tex]x 1 = 0 \\ x2 \: = 1 \\ x3 \: = 3[/tex]
Consider a job offer with the given starting salary and the given annual raise. Starting salary Aannual raise $36,500 $1200 (a) Determine the salary during the sixth year of employment.
(b) Determine the total compensation from the company through six full years of employment.
The salary after sixth year of employment will be $45918.34. The total compensation after six years are $250914.15.
The amount raised over a period of time is given by the equation ,
Xₙ = X₀ (1+r)ⁿ
Xₙ is the final amount or number
X₀ is the initial amount or number
r is the rate
n is the number of years or period of time.
Here the annual rise is given as $1200. So we can calculate the rate.
r = 1200/36500 = 0.039
The salary rise during the sixth year, Xₙ = 36500 ×(1+0.039)⁶
= 45918.34
Total salary in all six years = 36500 + [36500×(1+0.039)¹] + [36500× (1+0.039)²] + [36500× (1+0.039)³] + [36500×( 1+0.039)⁴] +[36500×(1+0.039)⁵] + [36500× (1+0.039)⁶]
=250914.15
So the 6th year salary is $45918.34 and total compensation for 6 years will be 250914.15.
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Sheila has a lot of stamps in her drawer and will be mailing a number of 2 oz letters costing 62¢ of postage. How many different ways can she make 62¢ postage using a 44¢ stamp and combinations of 5¢, 3¢, and 2¢ stamps?
There are two different combinations, these are:
The 44¢ stamp, a 5¢ stamp, and a 3¢ stamp.The 44¢ stamp, and 4 of the 2¢ stamps.How many different ways can she make 62¢ postage?We will use the variables:
x = number of 5¢ stamps used.
y = number of 3¢ stamps used.
z = number of 2¢ stamps used.
We can write this:
x*5 + y*3 + z*2 + 44 = 62
5x + 3y + 2z = 62 - 44
5x + 3y + 2z = 8
There are two ways in which we can do that, these are:
x = 1
y = 1
z = 0
5*1 + 3*y + 2*0 = 8
8 = 8
The other solution is:
x = 0
y = 0
z = 4
5*0 + 3*0 + 2*4 = 8
8 = 8
So there are two different ways.
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Calculate the reliability of each system shown in Figure 2.8, if components a, b, c, and d function properly with probabilities 0.6, 0.7, 0.8, and 0.9 respectively. (α) between A and B?
(β) between B and C?
(γ) between A and C?
The reliability of each system can be calculated as follows:
(α) between A and B:
Reliability of A and B functioning together = Probability of both A and B functioning properly = 0.6 * 0.7 = 0.42
(β) between B and C:
Reliability of B and C functioning together = Probability of both B and C functioning properly = 0.7 * 0.8 = 0.56
(γ) between A and C:
Reliability of A and C functioning together = Probability of both A and C functioning properly = 0.6 * 0.8 = 0.48
Note: The calculations are based on the assumption that the components function independently and the failure of one component does not affect the functioning of another component.
Reliability Calculation for SystemsThe information provided is about the calculation of the reliability of different systems composed of components a, b, c, and d. The reliability is calculated based on the probability of each component functioning properly, which are given as 0.6, 0.7, 0.8, and 0.9 respectively. The reliability of each system (α between A and B, β between B and C, γ between A and C) is calculated as the product of the probabilities of the components composing the system functioning properly.
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can anyone give me answer please.
The only graph that has a function referred to as many-to-one function is; Graph A
How to Identify Graph Functions?A many-to-one function is defined as a function that have y-values associated to more than one x-value.
Graphically speaking, if a horizontal line is drawn through the graph, such horizontal line would cross the graph at least twice.
In the graphs, we can see that A is a parabola, and that if a horizontal line is drawn above y = 0, the line will go through the parabola twice. For example, in y = 10 it will cross the parabola at the point (-3, 10) and (3, 10). Therefore, this is a many-to-one graph.
The second graph is a one-to-one graph since there is only one y-value associated to each x-value.
The third graph is not even a function because by definition of function, each element of x should be associated with ONE element of y. In this case, x= 5 and x = 9 are associated to more than one y elements (the vertical lines that form two sides of the square) and therefore is not a function.
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In Exercises 7 - 10, determine whether each ordered pair is a solution of the system of equations
{y=−4ex 7x−y=4
(a) (−4,0) (b) (0,−4) (c) (0,−2)
(d) (−1,−3)
The ordered pairs that are solutions of the given system of equations are:
(a) (0,−4)
What are ordered pairs?The ordered pairs are a numerical value that occupies a specific position in the Cartesian plane, these pairs can have at least two components and these are:
P = (x, y)
x is the numerical value on the x-axisy is the numerical value on the y-axisFirst we will write the equations in a more organized way, then we will evaluate each of the pairs and validate that the equality is fulfilled.
[tex]y = -4e^{x}[/tex]
[tex]7x - y = 4[/tex]
(a) (−4,0)
y = -4e⁻⁴
y = -0.0732
Not true since the value of "x" does not make the value of "y" zero.
(b) (0,−4)
y = -4e⁰
y = -4
7(0) - y = 4
0 - y = 4
y = -4
If it complies
(c) (0,−2)
y = -4e⁰
y = -4 This pair is not a solution
(d) (−1,−3)
y = -4e⁻¹
y = -1.47 This pair is not a solution
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Liu fans salary this year is 12% higher than it was 3 years ago. If he earns 37,100 this year, what did he earn 3 years ago?
Answer:
$32,648
Step-by-step explanation:
1- find 12% of 37,100 ( 37,100x12= 445,200 445,200/100= $4452)
2- 37,100- 4452= $32,648
(im not sure if its correct
human visual inspection of solder joints on printed circuit boards can be very subjective. part of the problem stems from the numerous types of solder defects (e.g., pad non-wetting, knee visibility, voids) and even the degree to which a joint possesses one or more of these defects. consequently, even highly trained inspectors can disagree on the disposition of a particular joint. in one batch of 10,000 joints, inspector a found 734 that were judged defective, inspector b found 742 such joints, and 954 of the joints were judged defective by at least one of the inspectors. suppose that one of the 10,000 joints is randomly selected. a. What is the probability that the selected joint was judged to be defective by:
i. Inspector A
ii. Inspector B
iii. Inspector A or B
iv. Inspector A and B
b. What is the probability that the selected joint was judged to be defective by neither of the two inspectors?
c. What is the probability that the selected joint was judged to be defective by inspector B but not by inspect
The probability that the selected joint was judged to be defective by inspector B but not by inspector A is 0.0695.
A. i. The probability that the selected joint was judged to be defective by Inspector A is 734/10000 = 0.0734.
ii. The probability that the selected joint was judged to be defective by Inspector B is 742/10000 = 0.0742.
iii. The probability that the selected joint was judged to be defective by Inspector A or B is 954/10000 = 0.0954.
iv. The probability that the selected joint was judged to be defective by both Inspectors A and B is the intersection of their judgments, which can be found by subtracting the defective joints found only by one inspector from the total defective joints found by both inspectors. The probability is (954 - (734 - 742))/10000 = 0.0478.
B. The probability that the selected joint was judged to be defective by neither of the two inspectors is (10000 - 954)/10000 = 0.9046.
C. The probability that the selected joint was judged to be defective by Inspector B but not by Inspector A is 742 - 0.0478 = 695/10000 = 0.0695.
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Question 1
2
The winner of the 95th annual hotdog eating contest consumed 207 hotdogs (and buns!) in 10 minutes.
You are determined to break this record, so you would have to consume 208 hotdogs and buns in 10 minutes.
How many hotdogs would you have to eat every minute to beat the last winner?
Type the number of hotdogs in the blank below (JUST the number).
Assuming you eat at the average rate needed to win the contest, how many total hotdogs will you consume in two minutes?
Type the number of hotdogs in the blank below (JUST the number).
Assuming you eat at the average rate needed to win the contest, how many total hotdogs will you consume in three minutes?
Type the number of hotdogs in the blank below (JUST the number).
The number of hotdogs would you have to eat every minute to beat the last winner is about 21 hotdogs per minute
How to determine the number of hotdogs?The statement reads that the 95th annual hotdog eating contest consumed 207 hotdogs (and buns!) in 10 minutes.
This implies that 208/10= 20.8 hotdogs (and buns) per minute to beat the record of 207 in 10 minutes or about 21 hotdogs per minute.
(2) In two minutes, you would be able to eat 21 hotdogs times 2 = 42 hotdogs
(3)At the average rate needed to win the contest, the number of total hotdogs will you consume in three minutes is 21 hotdogs times 3 = 63 hotdogs
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