The probability that the arborist will break a saw chain on a day in which he spends 1/2 of his time climbing, 3/8 limbing, and 1/8 felling and bucking is 0.007
We are given the probabilities of an arborist breaking a saw chain in a day's work are 0.004 for a small climbing saw, 0.008 for a medium limbing saw, and 0.04 for a large felling and bucking saw.
The time that he spends on each saw are 1/2 of his time climbing, 3/8 limbing, and 1/8 felling and bucking.
Let us find the probability that he will break a chain when he uses the small climbing saw.
P(small climbing saw) = 1/2P(Break a chain using small climbing saw) = 0.004
Using the medium limbing saw: P(medium limbing saw) = 3/8P(Break a chain using medium limbing saw) = 0.008
Using the large felling and bucking saw: P(large felling and bucking saw) = 1/8P(Break a chain using large felling and bucking saw) = 0.04
Now, to find the probability that he will break a chain on a day, we use the weighted average. Probability is a weighted average because the probability of breaking the saw chain is different for each saw that he uses.
Hence, the probability that he breaks a saw chain when he uses each saw is weighted according to how much time he spends on that saw.
P = P(small climbing saw)* P(Break a chain using small climbing saw) + P(medium limbing saw) * P(Break a chain using medium limbing saw) + P(large felling and bucking saw) * P(Break a chain using large felling and bucking saw)P = (1/2 * 0.004) + (3/8 * 0.008) + (1/8 * 0.04)P = 0.007
To know more about probability refer here:
https://brainly.com/question/30034780#
#SPJ11
WILL MARK BRAINLIEST draw the right triangle (show your process)
Answer:[tex]3\sqrt{2}[/tex]
Step-by-step explanation:
in order to make a right triangle point should be either (1,4) or (4,1)
each way hypotenuse of this triangle is
[tex]known coordinates are (4,4)-- > (x1,y1)\\ and (1,1)-- > (x2,y2) \\\sqrt{(x1-x2)^{2}+(y1-y2)^{2}} =\sqrt{(4-1)^{2}+(4-1)^{2}}=\sqrt{9+9}=\sqrt{3^{2}*2}=3\sqrt{2}[/tex]
how do you solve this to get the answer
Answer:
The answer is
-7/8 + 3/10
Step-by-step explanation:
See the picture
Hope you understand :)
S.
5.
You may be surprised to learn that prime
numbers are used for sending information
securely over the internet. The internet uses
computers, so they do this by multiplying two
huge prime numbers. It is hard work. Here is
a challenge for you. The number 51 is the
product of two prime numbers. What are the
two prime numbers?
The prime factors or the prime numbers whose product is 51 are 3 and 17.
What is the operation of prime numbers?
The operation of prime numbers refers to the various mathematical operations that can be performed using prime numbers. Prime numbers are positive integers that have exactly two divisors, 1 and the number itself. Some of the important operations involving prime numbers include:
Prime factorizationGCD and LCMModular arithmeticPrimality testingCryptographyNow,
If you meant to ask for the prime factors of 51, then they are 3 and 17.
because 51 is divisible by 3 because 5+1=6
and after dividing 51/3=17 which is also a prime number.
Hence,
the prime factors of 51 are 3 and 17.
To know more about Prime numbers visit the link
brainly.com/question/881160
#SPJ1
if the dental director wanted to analyze the data collected from the cpi, which type of descriptive statistics should be used to measure central tendencies?
To measure central tendencies in the data collected from the Consumer Price Index (CPI), the dental director should use measures of central tendency, such as the mean, median, and mode.
The mean is the average of a set of numbers and is calculated by adding all the numbers together and then dividing by the total number of numbers. The median is the middle number when the numbers are placed in order from least to greatest. The mode is the number that appears most often in a set of numbers.
Using these measures of central tendency will allow the dental director to gain a better understanding of the CPI data, as they will be able to identify the center point of the data and also see how frequently particular values appear. This can help in making informed decisions about policies and other changes.
See more about measure at: https://brainly.com/question/20904592
#SPJ11
What is the equation of this graph?
A.) y=-x²-2x-8
B.) y=x²-2x-8
C.) y=3x²-12x-8
D.) y=-3x²-12x-8
The equation of the quadratic function that passes through these points is:
[tex]y = -3x^2 - 12x - 8.[/tex]
What is quadratic equation?
A quadratic equation is a polynomial equation of the second degree, which means it contains one variable with an exponent of 2. The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
Using polynomial interpolation with these 5 points, we can find a quadratic polynomial that passes through all the points. Let the equation of the polynomial be [tex]y = ax^2 + bx + c[/tex].
Using the point (0, -8), we get:
[tex]-8 = a(0)^2 + b(0) + c[/tex]
c = -8
Using the point (-1, 1), we get:
[tex]1 = a(-1)^2 + b(-1) - 8[/tex]
a - b = 9
Using the point (-3, 1), we get:
[tex]1 = a(-3)^2 + b(-3) - 8[/tex]
9a - 3b = 27
Using the point (-4, -8), we get:
[tex]-8 = a(-4)^2 + b(-4) - 8[/tex]
16a - 4b = 0
Using the point (-2, 4), we get:
[tex]4 = a(-2)^2 + b(-2) - 8[/tex]
4a - 2b = 12
Solving this system of equations, we get:
a = -3
b = -12
c = -8
Therefore, the equation of the quadratic function that passes through these points is:
[tex]y = -3x^2 - 12x - 8.[/tex]
To learn more about quadratic equation visit:
https://brainly.com/question/1214333
#SPJ1
The graphs below have the same shape. What is the equation of the red
graph?
f(x) = 4 – x²
g(x) = ?
O A. g(x) = (7 - x)2
O B. g(x) = 1 - x2
O C. g(x) = 7 - x2
D. g(x) = (1 - x)2
Answer:
C
Step-by-step explanation:
The red graph is obtained by shifting the graph of f(x) = 4 - x² upwards by some amount. We can see that the highest point on the red graph occurs at x = 0, where the value is 4.
To shift the graph of f(x) upwards by 3 units, we can add 3 to the entire function:
f(x) + 3 = 4 - x² + 3
= 7 - x²
So the equation of the red graph is:
g(x) = 7 - x²
Therefore, the correct answer is option C: g(x) = 7 - x².
A city has a population of 370,000 people. Suppose that each year the population grows by 4. 75%. What will the population be after 11
years?
The population of the city will be approximately 597,543 people after 11 years.
We can solve this problem using the formula for exponential growth:
[tex]N = P(1 + r)^t[/tex]
where:
N = final population
P = initial population
r = annual growth rate (as a decimal)
t = number of years
In this case, we have:
P = 370,000
r = 0.0475 (since the annual growth rate is 4.75%)
t = 11
Substituting these values into the formula, we get:
[tex]N = 370,000(1 + 0.0475)^{11}[/tex]
Using a calculator, we can simplify this expression to:
N = 597,542.64
Learn more about exponential here https://brainly.com/question/28596571
#SPJ4
Please, I really want this pleaseeeeeeweeee
The value of ∠K is 78°
What is tangent of a circle?The tangent of a circle is a straight line that touches the circle at exactly one point, and it is perpendicular to the radius of the circle at that point.
Given that, a tangent JK is lying on the circle H whose radius are HJ and HM,
So, ∠HMJ = ∠HJM = 84°
and JK ⊥ HJ (JK is a tangent on radius HJ)
So, ∠HJK = 90°
∠HJM + ∠MJK = ∠HJK
84° + ∠MJK = 90°
∠MJK = 6°
Using exterior angle property;
∠MKJ + ∠MJK = ∠HJM
∠MKJ + 6° = 84°
∠MKJ = 84° - 6° = 78° (∠MKJ means ∠K)
Therefore, ∠K = 78°
To know more about circle, visit:
https://brainly.com/question/8952990
#SPJ1
(g+5)(g-4) expand and simplify
The figure shows intersecting lines k and m. What is the measure of angle a?
Type the number in the box.
86°
a
degrees
According to the information provided, k and m are crossing lines with an angle of 86°. We know this because k and m are straight lines.
The angles add up to 180 degrees.
Then we receive,
[tex]a + 86 =180[/tex]
Or, a = 180 -86
Or, a = 94°.
As a result, an is 94°.
The angle an is 94 degrees.
Supplementary angle are formed when two angles add to 180 degrees. When additional angles are added together, they form a straight angle, or 180 degrees. In these other words, if indeed the sum of angles 1 and 2 equals 180 degrees, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" to one another in this context.
To know more about angle click here
brainly.com/question/29015700
#SPJ9
Describe and correct the error a student made in identifying the growth or decay factor for the
function y = 2.55(0.7)
Step 1 The base of the function
is 0.7, so it represents
exponential decay.
Step 2 The function in the form
y = a(1-r)* is
y = 2.55(1-0,7)*
Step 3 The decay factor is 0.3.
X
The corrected version has a base of 0.7, representing exponential decay, and has the function[tex]y = a(1-r)x[/tex] as [tex]y = 2.55(0.7)x[/tex] with a [tex]0.3[/tex] decay factor.
Explain function?
A function is a link or statement that contains one or more values. Both inputs and outputs are numerous. With each input, there is only one output. The links between the inputs and the results are described by the function.
The error the student made is in Step 2 where they incorrectly wrote the function in the form [tex]y = a(1-r)*.[/tex]The correct form for exponential decay is [tex]y = a(1-r)^x[/tex], where x is the number of time periods. So, the correct equation for the given function is [tex]y = 2.55(0.7)^x.[/tex]
To find the decay factor, the student should have subtracted the base from 1, instead of multiplying it by -1. Therefore, the correct decay factor is [tex]1 - 0.7 = 0.3.[/tex]
So, the corrected version of the solution is:
Step 1: As the function's base is[tex]0.7[/tex], it simulates exponential decay.
Step 2: The function in the form [tex]y = a(1-r)^x is y = 2.55(0.7)^x.[/tex]
Step 3: The decay factor is [tex]0.3.[/tex]
To know more about function visit:
brainly.com/question/11624077
#SPJ1
Pls help keep it simple
Opioids are a class of drugs that include both prescription painkillers, such as oxycodone, hydrocodone, and fentanyl, and illegal drugs, such as heroin.
What are opioids?Opioids are highly addictive and can lead to physical dependence and addiction with prolonged use. They can also cause a range of negative side effects, including drowsiness, confusion, constipation, nausea, and respiratory depression, which can be life-threatening in high doses.
Opioid addiction has become a major public health crisis in many countries, including the United States, where it has been linked to a dramatic increase in overdose deaths.
The numbers that match the phrases are;
1 - j
2 - c
3 - b
4 - a
5 - i
6 - d
7 - e
8 - f
9 - j
10 - h
Learn more about opioids:https://brainly.com/question/31021625
#SPJ1
A gamer is observing her score, y, as she plays a video game. She currently has 3,200 points and is gaining 200 points for every minute, x, she plays.
Which of the following equations can be used to describe this linear relationship?
A. y = 3,200x − 200
B.y = 3,200x + 200
C. y = 200x − 3,200
D. y = 200x + 3,200
Answer: d
Step-by-step explanation:
the slope is positive 200 because she is gaining 200 points for every minute which is x. 200x or 200 multiplied by x is her slope and her y intercept is 3200
we know the sample size is 90. for what sample proportion would the p-value be equal to 0.05? assume that all conditions necessary for inference are satisfied.
The sample proportion would be 0.5.we can calculate the proportion by plugging in n = 90, which yields a proportion of 0.5.
To determine what sample proportion would yield a p-value of 0.05, we must first understand the formula for calculating a p-value. The formula for a p-value is p-value = 1 - [tex](1 - proportion)^n[/tex], where n is the sample size. By manipulating this equation, we can solve for the proportion when the p-value is equal to 0.05. We can isolate the proportion by taking the inverse of both sides of the equation, which yields: proportion = 1 - [tex](1 - 0.05)^(1/n)[/tex]. Since the sample size is 90, we can calculate the proportion by plugging in n = 90, which yields a proportion of 0.5.
Learn more about sample here
https://brainly.com/question/25894237
#SPJ1
Helppppppppppppppppppppppp
Answer:
no
Step-by-step explanation:
You want to know if a triangle with sides 54, 66, and 87 is a right triangle.
Pythagorean theoremThe side lengths of a right triangle will satisfy the relation given by the Pythagorean theorem. Here, that would require ...
54² +66² = 87²
2916 +4356 = 7569
7272 = 7569 . . . . . . . . . false — not a right triangle
Triangle WXY is not a right triangle, so XY is not tangent to circle W.
__
Additional comments
The parity of the integer side lengths of a right triangle is always even. That is, there can be two odd side lengths, but never just one odd side length.
Side lengths 54 and 66 are even, while length 87 is odd. There is only one odd side length, so this triangle cannot be a right triangle.
A tangent always meets a radius at right angles, so XY is a tangent if and only if angle X is a right angle.
a rectangular container 12 cm long, 8 cm wide, and 36 cm high was one - third full. when some syrup from a bottle was poured into the container, it got half full. find the volume of the syrup poured from the bottle into the container in millimeters
when some syrup from a bottle was poured into the container, it got half full. The volume of the syrup poured from the bottle into the container in millimeters is 576,000 cubic millimeters.
Since for solving the problem we need to find the volume of the container in millimeters. We are given the length, breadth, and height which are 12 cm,8 cm, and 36 cm.Now the volume of the container is:
V = l x w x h = 12 cm x 8 cm x 36 cm = 3,456 cubic cm. Now we convert the above result into millimeters by multiplying by 1,000, so we get V= 3456 x 1000= 34560000 cubic mm
Now to find the volume of the syrup that was poured into the container, we know that the container was one-third full before the syrup was added and half full after the syrup was added.onsidering x to be the volume of the syrup poured from the bottle into a container and n to be the volume of the syrup in the container after it was added:
1/3(V) + x = 1/2(V), where v is the volume of the container in millimeters, so we substitute the calculated value of the volume we get :
=>1/3(V) + x = 1/2(V)
=>x = 1/2(V) - 1/3(V)
=> x = 1/6(V) = 1/6(3,456,000) = 576,000 cubic mm
To know more about volume refer to the link brainly.com/question/1578538
#SPJ4
the perimeter of a rectangle is 175 feet. the short sides are each feet long, but the lengths of the long sides are . a) which equation represents this situation? correct b) write in terms of . incorrect
this is incorrect because the length of the long sides cannot be expressed in terms of just y. We need additional information about the dimensions of the rectangle to determine the length of the long sides.
a) The equation that represents this situation is:
2x + 2y = 175
where x is the length of the short sides (in feet) and y is the length of the long sides (in feet).
b) The equation in terms of y is:
2(6) + 2y = 175
which simplifies to:
12 + 2y = 175
2y = 163
y = 81.5
However, this is incorrect because the length of the long sides cannot be expressed in terms of just y. We need additional information about the dimensions of the rectangle to determine the length of the long sides.
Learn more about length here
https://brainly.com/question/13194650
#SPJ4
Help em fin the answer
Answer:
1 ft per 4 seconds
120 seconds
72 seconds
Step-by-step explanation:
For what real numbers x is the value of x2
– 6x + 9 negative?
Answer:
Step-by-step explanation:
EZ
its 21
a rectangle has a length of 25 cm and a width of 12.25 cm. a larger, similar rectangle has a width 49 cm. what is the length of the larger rectangle?
Answer: 100 cm
Step-by-step explanation:
1. Since the problem tells us that they are similar, we can infer that this larger rectangle is the same rectangle, only bigger.
2. With this information, we can do the equation 49/12.25 because then we will get the amount the rectangle grows by.
3. 49/12.25=4
4. Now, we can multiply the length(25) by 4.
5. 25 x 4=100
6. The length of the larger rectangle is 100.
I hope this helps!
Decide if each of the following is a minor arc, major arc, or semicircle by circling the correct answer .
Answer:
Step-by-step explanation:
minor, semi, minor, major (in that order)
minor is smaller than a semi-circle while major is larger than a semi-circle.
Question 11
Aiguo rode his bike twice as many miles as Xavier. Together, they rode a total of 22.5 miles. How many miles did
Xavier ride?
Part A
Write a system of equations that represents the situation.
y =
x + y =
Part B
Solve the system of equations. Express the coordinates as decimals if necessary.
Done and
I’m literally so confused
Xavier rode 7.5 miles and Aiguo rode twice as much, or 15 miles.
How many miles did Xavier ride?Let x be the number of miles Xavier rode. Since Aiguo rode twice as many miles as Xavier, let 2x be the number of miles Aiguo rode.
Together, they rode a total of 22.5 miles, so we have the equation:
x + 2x = 22.5
Simplifying, we will get:
3x = 22.5
x = 22.5/3
x = 7.5
We can check our answer by verifying that the sum of their distances is indeed 22.5 miles:
= 7.5 + 15
= 22.5
Therefore, the solution is x = 7.5 and y = 15.
Read more about distance
brainly.com/question/26550516
#SPJ1
A large company has offices in two locations, one in New Jersey and one in Utah. The mean salary of office assistants in the New Jersey office is $28,500. The mean salary of office assistants in the Utah office is $22,500. The New Jersey office has 128 office assistants and the Utah office has 32 office assistants. What is the mean salary paid to the office assistants in this company?
A. $22,500
B. $23,700
C. $25,500
D. $27,300
E. $28,500
Therefore, the mean salary paid to the office assistants in this company is $24,000.Answer: B. $24,000
A large company has offices in two locations, one in New Jersey and one in Utah. The mean salary of office assistants in the New Jersey office is $28,500. The mean salary of office assistants in the Utah office is $22,500. The New Jersey office has 128 office assistants and the Utah office has 32 office assistants. The mean salary paid to the office assistants in this company can be calculated by taking the weighted average of the mean salaries of the two offices.
Here's the formula to calculate the weighted average:
Weighted average = (weight1 × value1 + weight2 × value2) / (weight1 + weight2)
Where weight represents the number of data points, and value represents the mean salary of office assistants.
In this question, the weight of the New Jersey office is 128, and the weight of the Utah office is 32. The value of the New Jersey office is $28,500, and the value of the Utah office is $22,500.
Now let's plug in the values:
Weighted average = (128 × 28,500 + 32 × 22,500) / (128 + 32)
= (3,648,000 + 720,000) / 160
= 24,000
for such more questions on Weighted average
https://brainly.com/question/28507971
#SPJ11
in exercise physiology, a person's maximum heart rate, in beats per minute, is found by subtracting his age in years from 220. so, if a represents your age in years, then your maximum heart rate is:
Step-by-step explanation:
If your age is ' a ' then your max heart rate = 220 - a
Please help :( I don't quite understand...
Step-by-step explanation:
For Part A, use the function f(x) to find the average of tests taken.
X is number of test taken
f(x) is the average score given said num of tests taken,x,
We want after test number 3 so using the function,
[tex]f(x) = 0.2x + 79[/tex]
Plug in. 3 for x, and we will get our answer.
[tex]f(3) = 0.2(3) + 79 = 79.6[/tex]
Part B: Use the table for the answer.
When 2 test are taken, the average test score is
84
So part B is 84.
Part C:
[tex]f(2) = 0.2(2) + 79 = 79.4[/tex]
[tex]g(2) = 84[/tex]
Since
[tex]g(2) > f(2)[/tex]
The science class had a higher average after 2 tests
Answer:
you shoulda payed attention in class
Step-by-step explanation:
also u know it's bad when the test is so hard you can't even cheat on it
write the equation of a circle with center at (-1/2,1/4) and r= [3]
The equation of the circle is 16 x^2 + 16x +16 y^2- 4y -45 =0
Here the center of circle is at (1/2, 1/4 ) and radius is √ 3
The equation of a circle with center (h , k) and radius r is given by
(x - h)^2 + ( y - k)^2 = r^2
Here it is given that the center of circle (-1/2 , 1/4) = (h, k) and radius r= √ 3
Therefore the equation of required circle is
(x - (-1/2) )^2 + (y-1/4)^2= √ 3^2
=> x^2 + 1/4 + x + y^2 +1/16 - 4y= 3
=> 16x^2 + 4 +16x+ 16 y^2 -4y +1= 48
=>16 x^2 + 16x +16 y^2- 4y -45 =0
therefore the required equation of circle is
16 x^2 + 16x +16 y^2- 4y -45 =0
To know more about the equation of circle :-
https://brainly.com/question/30997261
Whether the economy is in a recession is illustrated in the AD/AS model by how close the _____ is to the potential GDP line.
a. AD curve
b. AS curve
c. AS and AD curve
d. equilibrium
When the equilibrium point is above the potential GDP line, the economy is experiencing inflationary pressure.
In the AD/AS model, whether the economy is in a recession is illustrated by how close the equilibrium is to the potential GDP line. The potential GDP line represents the maximum level of output that an economy can produce with its existing resources and technology.What is the AD/AS model?The AD/AS model is a graphical representation of the macroeconomic relationship between aggregate demand (AD) and aggregate supply (AS). This model is used to explain the behavior of the economy by demonstrating how changes in the level of aggregate demand and aggregate supply can impact the economy's level of output and prices.
The model's AD curve represents the total demand for all goods and services in an economy at different price levels. The AS curve represents the total supply of all goods and services in the economy at different price levels.
The intersection of the AD and AS curves represents the equilibrium point where the economy's output level and price level are determined. The economy is in a recession when the equilibrium point is below the potential GDP line.
for such more questions on equilibrium point
https://brainly.com/question/29078763
#SPJ11
Help needed LIKE RN!! URGENT!!
The surface area of the cylinder is approximately 127.17 cm².
What is the surface area of the cylinder?Surface area of cylinder is the total space covered by the flat surfaces of the bases of the cylinder and its curved surface. The formula for the surface area of a cylinder is: 2πr² + 2πrh.
To solve this problem, we first need to find the radius of the cylinder. The diameter of the cylinder is 3 cm, so the radius is half of that:
r = 3/2
= 1.5 cm
We need to substitute the values we know into the formula for surface area:
= 2π(1.5)² + 2π(1.5)(12)
= 2π(2.25) + 2π(18)
= 4.5π + 36π
= 40.5π
We will now approximate the value of π to get the numerical answer, so, our Surface Area will be:
= 40.5π
= 40.5 * π
= 40.5 * 3.14
≈ 127.17 cm²
Answered question "A cylinder is 12 cm tall and has a diameter of 3 cm. What is the surface area?"
Read more about surface area
brainly.com/question/28178861
#SPJ1
10. 4 out of 5 students are going on the field trip tomorrow. If there are 400 students, how many
are going on the field trip?
The total students who are going on the field trip are 320 students out of 400 students which has been obtained by using the concept of fractions.
Define Fraction?A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).
If 4 out of 5 students are going on the field trip, then the fraction of students going on the field trip is 4/5.
To find out how many students are going on the field trip, we can multiply this fraction by the total number of students:
Number of students going on the field trip = (4/5) x 400
Number of students going on the field trip = 320
Therefore, 320 students are going on the field trip.
To know more about fraction visit:
https://brainly.com/question/78672
#SPJ1
For each pair of figures below, choose how they are related.
O Translation
O Reflection
• Rotation
• None of these
• Translation
• Reflection
• Rotation
None of these
O Translation
© Reflection
• Rotation
• None of these
• Translation
• Reflection
O Rotation
O None of these
The type of transformation that occurred in each object are:
1) Rotation
2) Translation
3) Reflection
4) Translation
How to Identify the object Transformation?There are different types of transformations of objects such as:
Translation: Translation is said to occur when we slide a figure in any direction.
Reflection: Reflection is said to occur when we flip a figure over a line.
Rotation: Rotation is said to occur when we rotate a figure a certain degree around a point.
Dilation: Dilation is said to occur when we enlarge or reduce a figure.
1) The given transformation is rotation because the original object was clearly rotated.
2) The given transformation is said to be translation because the object just changed position.
3) The transformation that occurred is said to be a reflection because it is a mirror image.
4) The given transformation is said to be translation because the object just changed position.
Read more about Transformation at: https://brainly.com/question/29715209
#SPJ1