Answer:
1.5
Step-by-step explanation:
If events A and B are independent, find P(A│B).
A. P(A)
B. 1
C. 0
D. P(A)/P(B)
Answer:
If events A and B are independent:
P(A|B) = P(A⋂B)/P(B) = (P(A) x P(B))/P(B) = P(A)
=> Option A is correct
Hope this helps!
:)
A plane flying with a constant speed of 25 km/min passes over a ground radar station at an altitude of 12 km and climbs at an angle of 30 degrees. At what rate, in km/min is the distance from the plane to the radar station increasing 2 minutes later?
Your answer: ____ kilometers per minute.
Hint: The law of cosines for a triangle is c²=a²+ b²-2ab cos (theta)
where theta is the angle between the sides of length a and b.
the distance from the plane to the radar station is increasing at a rate of approximately 30.84 kilometers per minute.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, A plane flying with a constant speed of 25 km/min passes over a ground radar station at an altitude of 12 km and climbs at an angle of 30 degrees.
We can use the law of cosines to find d:
d² = 12² + (h + 12)² - 2(12)(h + 12)cos(θ)
Since the plane is climbing at an angle of 30 degrees, we can use trigonometry to find h:
sin(30) = h / (25 km/min * 2 min)
h = 25 km/min
Now we can substitute this value of h into the equation for d and simplify:
d² = 12² + (25 + 12)² - 2(12)(25 + 12)cos(θ)
d² = 12² + 37² - 2(12)(37)cos(θ)
d² = 144 + 1369 - 888cos(θ)
d² = 1513 - 888cos(θ)
To find the rate at which d is changing, we can take the derivative of both sides of this equation with respect to time:
2dd/dt = -888(d(cos(θ))/dt)
Since the plane is flying with a constant speed of 25 km/min, we can use trigonometry to find d(cos(θ))/dt:
cos(θ) = 12/d
d(cos(θ))/dt = -(12/d²)(dd/dt)
d(cos(θ))/dt = -(12/d²)(25 km/min)
Now we can substitute these values into the equation for the rate of change of d:
2dd/dt = -888(-(12/d²)(25 km/min))
2dd/dt = (888*12)/(d²)(25 km/min)
dd/dt = (5328)/(d²) km/min
Finally, we can substitute the value we found for d into this equation to get the rate at which d is changing 2 minutes later:
d = sqrt(1513 - 888cos(θ))
θ = 30 degrees
dd/dt = (5328)/(d²) km/min
dd/dt = (5328)/(1513 - 888cos(30)) km/min
dd/dt ≈ 30.84 km/min
Therefore, the distance from the plane to the radar station is increasing at a rate of approximately 30.84 kilometers per minute.
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Samir works as a salesperson at an electronics store and sells phones and phone accessories. Samir earns a $8 commission for every phone he sells and a $4 commission for every accessory he sells. On a given day, Samir made a total of $216 in commission from selling a total of 39 phones and accessories. Graphically solve a system of equations in order to determine the number of phones sold. 2, and the number of accessories sold, y.
The number of phones sold is 15 and the number of accessories sold is 24, and the graph is attached below.
What is a graph?A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Given:
Samir earns an $8 commission for every phone he sells and a $4 commission for every accessory he sells,
Total money earned = $216,
Total number of phones and accessories sold = 39
Write the equation of the above statement as shown below,
8x + 4y = 216,
x + y = 39
Assume the number of phones sold is x and the number of accessories sold is y,
Solve the equation by elimination as shown below
x = 15,
y = 39 - 15 = 24
The graph is also attached below,
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Please someone help!!!!!!!!!!!!!!
Answer:
42.6
Step-by-step explanation:
To do this question we need to use pythagoras theorem!
\(a^{2}+b^{2}=c^{2}\)
In this situation we will consider a to be 45 and c to 62. This means that we need to find b...
To do this we first need to substitute the values we know into the question
\(45^{2}+?=62^{2}\)Now we can simplify as much as we can...
\(45^{2}=2025\)\(62^2=3844\)We are now left with...
\(2025+?^2=3844\)Let's try find the value of '?'...
\(3844-2025=1819\)In the question we have still have to root it...
\(\sqrt{1819}=42.64973622\)Now round to nearest tenth...
\(42.64973622=42.6\)Answer: C=76.7
Step-by-step explanation:
You're going to be using Pythagoras' Theorem to solve this:
a^2+b^2=c^2
45^2+62^2=C^2
√45^2+62^2≈76.6094
Then after you get your answer for your missing side your going to round to your tenths
So 76.6094
*Remember five or more add one more 4 or less let it rest.
So 9 is over 5 which means in our tenths 6 turns into a 7.
So everything behind would turn into zero so it should look like this: 76.7
Please mark brainlest if this helps you!
a rectangle has a perimeter of 57.6 yards and a height of 16.9 yards. what is the length of the base?
The length of the base of the rectangle is 11.9 yards if it has a perimeter of 57.6 yards.
We can determine the length of the base of the given rectangle by using the following for the perimeter as follows;
P = 2 ( L + W )
Here L represents length, W represents width and P represents the perimeter.
Since the height of the rectangle is 16.9 yards and we have to find the length of the base, the height can be considered to be the width of the rectangle. Therefore;
57.6 = 2 ( L + 16.9 )
57.6 = 2L + 33.8
2L = 57.6 - 33.8
2L = 23.8
L = 23.8 ÷ 2
L = 11.9
Therefore; the length of the base is calculated to be 11.9 yards.
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At a certain university there are 10 different time periods during which classes can be scheduled. If there are 390 different classes, what is the minimum number of different rooms that will be needed
Answer:
The minimum number of different rooms for accommodating 390 classes if there are 10 different time periods is 39
Step-by-step explanation:
Number of time periods = 10
Number of Classes = 390
Now, if we have a single room, then we can accommodate 10 classes
if we have 2 rooms, we can accommodate (10)(2) = 20 classes
and so on
so we have the relation,
(number of rooms)(number of time periods) = (number of classes that can be accommodated)
We need to find the number of rooms for 390 classes, given that number of time periods is 10, so we get,
(number of rooms)(10) = 390
number of rooms = 390/10
number of rooms =39
you find a body indoors. the thermostat is set at 70 f. the medical examiner measured the liver temperature at 29.18 0c. how long has the body been dead in hours? (if you are using partial hours, put it in decimal format and round to two decimal places--i.e. 0.5 for 1/2 hour; 0.33 for 1/3 hour, etc. don't use minutes).
The thermostat is set at 70 f. The medical examiner measured the liver temperature at 29.18 0c. The body been dead in 42.351 hours.
The time difference between the death of a body and finding a body is referred to as the post-mortem interval or PMI. It plays a vital role as it aids in determining the exact possible time of the death of the body. It gives us a time frame within which the identification of the human remains could possibly be made.
The liver temperature or rectal temperature is used to determine the true body temperature.
The body heat is lost at the rate of 1.5 degrees every hour. The body temperature of the dead body decreases at a rate of 1.5 degrees per hour.
As per the question, the thermostat is set at 70 F.
The liver temperature is 35.96 degrees Celsius. By converting it into Fahrenheit, it becomes 96.73 F.
F = 29.18×9/5+32
F = 84.524
So, from the normal body temperature, the rectal temperature is subtracted, and the difference is divided by 1.5. It is calculated by using the Glaister equation.
PMI = 98.7 F − dead body temperature / 1.5
PMI = 98.7−84.524/1.5
PMI = 42.351
Thus, the answer is 42.351 hours.
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Suppose someone who is trying to divide a horizontal line in half picks a spot far to the right of center. This result suggests probable damage or malfunction in which part of the brain?
a. The left hemisphere
b. The right hemisphere
c. The prefrontal cortex
d. The primary visual cortex
This test is known as the "line bisection test," and it is commonly used to evaluate spatial neglect, a condition in which an individual has difficulty attending to or perceiving stimuli on one side of the body or space. Therefore, the correct option is (b) the right hemisphere.
If someone who is trying to divide a horizontal line in half picks a spot far to the right of center, it suggests a bias towards the left side of space, indicating probable damage or malfunction in the right hemisphere of the brain. The right hemisphere is typically responsible for processing information related to the left side of the body and space.
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Point K is rotated 90". The coordinate of the pre-image point K was (2,6) and its image K' is at the coordinate (-6, -2) Find the direction of the rotation, The direction of rotation was ???
Answer:
Clockwise
Step-by-step explanation:
Sorry I answered late
Answer:Clockwise
Step-by-step explanation:
Create an equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six.
1.3 squared over 1.5 cubed
1.3 to the twenty-fourth power over 1.5 to the eighteenth power
1.5 cubed over 1.3 squared
1.5 to the eighteenth power over 1.3 to the twenty-fourth power
The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.
How to explain the expressionHere are the steps to simplify the expression:
Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.
Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.
Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.
Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.
Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.
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Help me with this quesion
Answer:
3 units
Step-by-step explanation:
help please this is really confusing
Answer: help woth what?
Step-by-step explanation:
I dont see anything?
Step-by-step explanation:
I think you may have forgotten to put the picture..
How can you determine the part of an hour that is 15 minutes?
Answer:
You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.
Step-by-step explanation:
1945 men and 2849 women regiter to audition for a inging competition. The number of participant who are not ucceful in their audition what’ five time the number of thoe who are ucceful. How many participant were ucceful
1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799 participants were successful.
The successful participants can be calculate by solving a linear equation as follows
First, it's crucial to understand linear equations.
Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.
Linear equations are those with one degree.
In this case, a linear equation must be resolved.
1945 for the men's total
Women are present in 2849.
Participants in total: 1945 + 2849 = 4794
Let x be the proportion of participants that were successful.
Men who failed were 5 times as numerous.
Participants in total: 5x + x = 6x
Due to the issue,
The linear formula is
6x = 4794
x = 4794/6
x = 799
799 of the participants had success.
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HELP PLEASE!!!! I REALLY NEED HELP
Answer:
CDW stocks a broad selection of office furniture, supplies, and accessories from computer stands to cleaning wipes, paper shredders and monitor stands.
Step-by-step explanation:
Zoey is having a party for 10 friends.2 If each friend eats 1/2 pounds of chips, how many pounds of chips will Zoey need?
A. 6 pounds
B. 4 pounds
C. 5 pounds
Someone help me
Answer: C
Step-by-step explanation: 10 times 1/2
Answer:
C. 5 Pounds
Step-by-step explanation:
Total of 10 friends divide that by 2 you get five so you would do 5 times to would be 10 (sorry if i explained that weirdly)
Please help will mark brainliest
Answer:
The answer is C i had it on my exam on edge
Step-by-step explanation:
Answer:
ffesfsEFesfSEfESfESfeSESEF
Step-by-step explanation:
fsefesfessfsEfaesgeaergae
For what reason did Franklin take apart essays and put them back together again
Franklin wrote his autobiography for a number of reasons: to "remember" and relive his life, perhaps more perfectly, as he said at the beginning; to provide some genealogical anecdotes to his son; to bow before his friends To their flattery, he owes society an account of his life.
Benjamin Franklin was an American polymath author, scientist, inventor, statesman, diplomat, printer, publisher, forger, and political philosopher. Among the leading intellectuals of the time, Franklin was one of the founding fathers of the United States, the drafter and signer of the American Declaration of Independence, and the first postmaster of the United States.
As a scientist, he was an important figure in American Enlightenment history and physics as he studied electricity and mapped and named the Gulf Stream. As an inventor, he is known for the lightning bolt, bifocal glasses, and the Franklin stove, among others. He founded many civic organizations, including the Library Company, Philadelphia's First Fire Department, and the University of Pennsylvania. Franklin earned the title of "First American" for his early and tireless efforts to unify the colonies and for his work in London as a writer and spokesperson for several colonies. As the first United States Ambassador to France, he exemplified America's rise to power.
Franklin defined the American spirit as the combination of practical values of economy, industry, education, community spirit, self-government, and opposition to political and religious authoritarianism with the values of science and tolerance. clarification. In the words of historian Henry Steele Commager, "In Franklin it was possible to combine the virtues of faultless Puritanism, the lightness of Enlightenment without enthusiasm." Franklin has been called "the most able and influential American inventor in this type of society". America will become.
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Total surface area??
Answer:
150 sq.cm
Step-by-step explanation:
Surface area = (5 cm x 5 cm) x 6 faces
Surface area = 25 sq.cm x 6 faces
Surface area = 150 sq.cm
Hope that helps!
Answer:
150
Step-by-step explanation:
Let S be a relation on the set R of all real numbers defined by S={(a,b)∈R×R:a 2 +b 2 =1}. Prove that S is not an equivalence relation on R.
The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.
To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.
Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.
Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.
Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.
Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.
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Please helppp i will mark you brainliest
Answer:
c
Step-by-step explanation:
Create a random triangle, ABC Measure and record its angles.
Answer:
a. 3.5
b.5.4
c 2.6
Step-by-step explanation:
/\_
A) give a verbal description of the subset of real numbers represented by the inequality or the interval, B) sketch the subset on the rest of real number line, and C) state whether the interval is bounded or unbounded
An inequality is an expression which makes comparison between unequal expressions i.e. both sides of the inequality sign are not equal.
The verbal description of \(x > 5\) is the set of all real numbers greater than 5 The interval is bounded (right bounded to be precise)The inequality is given as:
\(x > 5\)
\(x > 5\) means x greater than 5
So, the verbal description is as follows:
The set of all real numbers greater than 5
To sketch \(x > 5\) on a number line, we consider the following:
> means greater than; so, the arrow on the number line must point to the right\(> 5\) implies that the arrow must start on 5> also implies that the circle on 5 must be an open circleSee attachment for the sketch
To determine if the interval is bounded or not, we do the following.
\(x > 5\) means that the x starts at a value greater than 5, and the value of x has no end.
This is represented as: \((5,\infty)\)
Notice that 5 is at the right, while \(\infty\) is at the left.
This means that the interval is bounded (right bounded to be precise)
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plz help me with this plz
Answer:
Slope: \(-\frac{3}{4}\)
Y intercept: 7
Equation: \(y=-\frac{3}{4}x+7\)
Step-by-step explanation:
The slope is found by doing the equation \(\frac{rise}{run}\). When looking at the first two points, it's shown that the rise (difference between the two y values) is -3 (since it decreased by 3) and the run (difference between the two x values) is 4 (since it increased by 4).
This gives us a slope of \(-\frac{3}{4}\).
The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.
The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!
Consider the following: Tom owns an automotive parts store for specialty vehicles in New York, New York. Pete, who lives in Newark, Delaware, owns a specialty vehicle and is in the market to buy a muffler. Pete calls Tom and tells Tom that he has 1969 Cadillac Eldorado and is looking for a silver muffler for this vehicle. Tom recommends a $600 muffler and even offers to install it for an additional $50. Pete declines Tom’s offer to install but is interested in the muffler. Tom and Pete write up a contract for the sale of the muffler to be delivered by May 1, 2015 to Pete’s address in Newark, Delaware.
Required: make an argument in favor of Tom bearing the risk of loss.
This contract is made on [DATE] between [TOM], owner of [AUTOMOTIVE PARTS STORE] located at [ADDRESS] (hereinafter referred to as "Seller"), and [PETE], residing at [ADDRESS] (hereinafter referred to as "Buyer"). Tom should bear the risk of loss because he is the seller and has not yet delivered the muffler to Pete. According to the UCC, the risk of loss typically transfers to the buyer upon physical delivery of the goods, which has not occurred in this case. Additionally, Tom's expertise in the specialty vehicle parts industry suggests that he should be responsible for any potential risks associated with the muffler until it is delivered.
1. Sale of Muffler
Seller agrees to sell and Buyer agrees to purchase a muffler for a 1969 Cadillac Eldorado, silver in color, for the price of $600 (hereinafter referred to as "the Muffler").
2. Delivery
Seller shall deliver the Muffler to Buyer's address in Newark, Delaware by May 1, 2015.
3. Payment
Buyer shall pay Seller the purchase price of the Muffler in full upon delivery.
4. Warranties
Seller warrants that the Muffler is free from defects in materials and workmanship. Seller further warrants that the Muffler will be fit for its intended purpose.
5. Governing Law
This contract shall be governed by and construed in accordance with the laws of the State of New York.
6. Entire Agreement
This contract constitutes the entire agreement between the parties with respect to the subject matter hereof and supersedes all prior or contemporaneous communications, representations, or agreements, whether oral or written.
7. Severability
If any provision of this contract is held to be invalid or unenforceable, such provision shall be struck from this contract and the remaining provisions shall remain in full force and effect.
8. Waiver
No waiver of any provision of this contract shall be effective unless in writing and signed by both parties.
9. Notices
All notices and other communications hereunder shall be in writing and shall be deemed to have been duly given when delivered in person, upon the first business day following deposit in the United States mail, postage prepaid, certified or registered, return receipt requested, addressed as follows:
10. Headings
The headings in this contract are for convenience only and shall not affect its interpretation.
11. Counterparts
This contract may be executed in one or more counterparts, each of which shall be deemed an original, but all of which together shall constitute one and the same instrument.
IN WITNESS WHEREOF, the parties have executed this contract as of the date first written above.
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what is 8^100 / 8^50 is 8^50?
Answer:
8^50
Step-by-step explanation:
8^100 / 8^50
We know that a^b / a^c = a^(b-c)
8^(100-50)
8^50
Suppose f(x) = x2 + 1. Find the graph of
f(4x).
Answer:
Step-by-step explanation:
2(4x) + 1 = 8x + 1
graph
The ratios 5 : 3 and 10: 6 ARE equivalent ratios. Which ratio is NOT equivalent to BOTH original ratios?
A. 15: 12
B. 30: 18
C. 15: 9
D. 20: 12
Group of answer choices
C
A
B
D
MATH
7TH GRADE
Answer:
A
Step-by-step explanation:
30:18 /6 =5/3
15:9 /3 =5/3
20:12 /2 =5/3
Answer:
free points
Step-by-step explanation:
thanks sis
Find the generating function of the sequence {an}n≥0 determined by an = an−1 + 6an−1 with initial conditions a0 = 1, a1 = 3. You need to find the closed form of the generating function, but you don’t need find the closed form of the coefficients.
The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.
To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.
The given recurrence relation is: an = an-1 + 6an-2
We are also given the initial conditions: a0 = 1 and a1 = 3.
To find the generating function, we define the generating function A(x) as:
a(x) = a0 + a1x + a2x² + a3x³ + ...
Multiplying the recurrence relation by x^n and summing over all values of n, we get:
∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)
Now, let's express each summation in terms of the generating function a(x):
a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾
Simplifying and rearranging the terms, we have:
a(x)(1 - x - 6x²) = a0 + (a1 - a0)x
Using the given initial conditions, we have:
a(x)(1 - x - 6x²) = 1 + 2x
Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):
a(x) = (1 + 2x) / (1 - x - 6x²)
Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).
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Given m \| nm∥n, find the value of x.
Answer:
Step-by-step explanation: