Solve nine eighteenths plus one third
Answer:
5/6
Step-by-step explanation:
Step 1: Rewrite 9/18
9/18 = 1/2
Step 2: Rewrite problem
1/2 + 1/3
Step 3: Find GCD (Greatest common denominator)
6
Step 4: Rewrite fractions
3/6 + 2/6
Step 5: Add
5/6
Answer:
5/6
Step-by-step explanation:
uhm so that's what I got sorry if I make you fail.
Collin wanted to purchase a truck with four-wheel drive, a CD player, and a GPS. Since he had saved just enough for the base model without these features, he decided to buy the base model and forego getting a car loan. Which biblical principle did he follow?
Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.
A car loan is what?With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.
Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.
The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.
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An exponential random variable has an expected value of 0.5.a. Write the PDF of .b. Sketch the PDF of .c. Write the CDF of .d. Sketch the CDF of .
a. The PDF (probability density function) of an exponential random variable X with expected value λ is given by:
f(x) = λ * e^(-λ*x), for x > 0
Therefore, for an exponential random variable with an expected value of 0.5, the PDF would be:
f(x) = 0.5 * e^(-0.5*x), for x > 0
b. The graph of the PDF of an exponential random variable with an expected value of 0.5 is a decreasing curve that starts at 0 and approaches the x-axis, as x increases.
c. The CDF (cumulative distribution function) of an exponential random variable X with expected value λ is given by:
F(x) = 1 - e^(-λ*x), for x > 0
Therefore, for an exponential random variable with an expected value of 0.5, the CDF would be:
F(x) = 1 - e^(-0.5*x), for x > 0
d. The graph of the CDF of an exponential random variable with an expected value of 0.5 is an increasing curve that starts at 0 and approaches 1, as x increases.
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this is a two step equation
Answer:
b = -18
Step-by-step explanation:
to find be you need to isolate the variable. First, you have to multiply both sides by 13 to cancel the denominator. Then, add 8 to both sides to cancel the negative 8 on the left. You should be left with what x equals.
-8+b/13(13) = -2(13)
-8+b = -26
+8 +8
b = -18
Answer:
b = -18
Step-by-step explanation:
First multiply 13 on both sides which will give you
-8 + b = -26
Then add 8 to both sides and will give the answer
b = -18
Question 2 of 6 View Policies Current Attempt in Progress Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____
Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.
Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____
Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.
Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)
Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14
Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.
Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w
Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w
Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.
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In Δ A B C,∠C is a right angle. Two measures are given. Find the remaining sides and angles. Round your answers to the nearest tenth. b=8, c=17
In triangle ABC with ∠C as a right angle and given b = 8 and c = 17, the remaining sides and angles would be approximately:
a ≈ 15
A ≈ 28.1°
B ≈ 61.9°
In triangle ABC, ∠C is a right angle. We are given two measures: b = 8 and c = 17. To find the remaining sides and angles, we can use the Pythagorean theorem and trigonometric ratios.
1. Use the Pythagorean theorem to find side a:
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
Therefore, we have:
a^2 + b^2 = c^2
a^2 + 8^2 = 17^2
a^2 + 64 = 289
a^2 = 289 - 64
a^2 = 225
a = √225
a = 15
2. Use trigonometric ratios to find the remaining angles:
We can use the sine, cosine, or tangent ratios to find the angles.
Let's use the sine ratio for angle A:
sin(A) = opposite/hypotenuse
sin(A) = b/c
sin(A) = 8/17
A ≈ sin^(-1)(8/17)
A ≈ 28.1°
To find angle B, we can use the fact that the sum of the angles in a triangle is 180°:
B = 180° - A - 90°
B = 180° - 28.1° - 90°
B ≈ 61.9°
So, in triangle ABC with ∠C as a right angle and given b = 8 and c = 17, the remaining sides and angles are approximately:
a ≈ 15
A ≈ 28.1°
B ≈ 61.9°
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Hey i have a question i need help with this it says...
How many cups would give you 2 quarts of water
if you have an awnser for this please let me know
Answer:
8 cups = 2 quarts
Step-by-step explanation:
Answer:
Eight cups will give you 2 quarts of water
Mrs. Rogers sold 49 out of 78 crafts at the fair. What percent of her crafts did she sell? Show your
proportion or equation set-up.
Answer:
62.8, 63% if you around it off.
Step-by-step explanation: Do 49 Divided by 78, then times it by 100 to get your percentage. I just rounded it off to the nearest tenth and whole number just in case. Hope this helped!
!Help! Solve for x.
Answer:
x=7
Step-by-step explanation:
The "notches" on arc MN and arc PQ tell us that they're equal in length.
If they are, then the straight segments PQ and MN are equal too!
3x + 5 = 26
3x = 21
x = 7
What is the first step in simplifying the expression 11x-2-3(1-7x)^2\(x+1)
Answer:
3(1-7x) is first step
Step-by-step explanation:
Answer:
BIDMAS
Step-by-step explanation:
brackets
indices
division
multiplication
addition
subtraction
so.. do everything inside the brackets and then use the square
hope this helps! :)
Miles work for a boat shop and needs to make at least $200 to pay his bills this month He receives one-eighth of his total sales.How much does miles need to sell in order to make at least $200
Data:
Miles needs to make at least $200 (greather than or equal to)
He receives one-eighth of his total sales
Let x be the amount in sell
\(\frac{1}{8}x\ge200\)Use the inequality above to find the amount in sell Miles need to do:
\(\begin{gathered} \text{Multiply both sides of the inequality by 8:} \\ \\ (8)\cdot\frac{1}{8}x\ge(8)\cdot200 \\ \\ x\ge1600 \end{gathered}\)Then, Miles need to sell at least $1,600 to make at least $200Select the correct number from each drop-down menu to show the values of and y.
The angle x of the triangle is 68 degrees and the side y is 7.5 units.
How to find the angles of a triangle?The triangle ABC is a right angle triangle because it has one angle as 90 degrees. The sum of the angles in the triangle is 180 degrees.
The angle ECD is congruent to angle ACB(vertically opposite angles).
Therefore,
∠ECD ≅ ∠ACB
Hence,
x = 180 - 90 - 22
x = 68 degrees.
using trigonometric ratios, let's find y
cos 22 = adjacent / hypotenuse
sin 22 = 2y - 1 / 15
cross multiply
15 cos 22 = 2y - 1
2y - 1 = 13.9077578185
2y = 13.9077578185 + 1
2y = 14.9077578185
divide both sides by 2
y = 14.9077578185 / 2
y = 7.45387890925
Therefore,
y = 7.5 units
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Piece of Ice Used K 20 centimeters. 33 centimeters
The volume of the remaining piece of ice cube is 6911.5 cubic cm
How to determine the volume of the remaining pieceFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
Radius, r = 20/2 = 10 cm
Height, h = 33 cm
The volume of the remaining piece is calculated is
V = 2/3πr²h
Substitute the known values in the above equation, so, we have the following representation
V = 2/3 * 22/7 * 10² * 33
Evaluate
V = 6911.5
Hence, the volume of the remaining piece is 6911.5 cubic cm
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Can someone help me with the below question???
Answer:
so 2a+3b=±13
Step-by-step explanation:
4a²+9b²=97
ab=6
2a+3b=?
by using formula
(a+b)²=a²+b²+2ab
(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)
(2a+3b)²=4a²+9b²+12ab
putting values
(2a+3b)²=97+12(6)
(2a+3b)²=97+72
(2a+3b)²=169
taking square root on both sides
√(2a+3b)²=√169
2a+3b=±13
i hope it will help you
Answer:
2a+3b = 13
Step-by-step explanation:
Using this formula
\((x+y)^2 = x^2+y^2+2xy\)
Where,
x = 2a and y = 3b
Putting in the above formula
=> \((2a+3b)^2=4a^2+9b^2+12ab\)
Putting 4a²+9b² = 97 and ab = 6
=> (2a+3b)² = 97+12(6)
=> (2a+3b)² = 97+72
=> (2a+3b)² = 169
Taking sqrt on both sides
=> 2a+3b = 13
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 8x2 – 800
Answer:
-10, 10
Step-by-step explanation:
To do that, we can set up an equation:
\(8x^2-800=0\)
We can divide both sides by 8 to make it easier to solve:
\(x^2-100=0\)
Now, isolate the x and take the square root of both sides:
\(x^2=100\\x=\pm10\)
Therefore, the 2 zeroes of f(x) are -10 and 10.
Multiply using the distributive property (X+4)(X^2+6x-3)
Answer:
x^3 + 10x^2 + 21x - 12
Step-by-step explanation:
(x + 4)(x^2 + 6x - 3)
you can separate to make it easier for u
x(x^2 + 6x - 3) + 4(x^2 + 6x - 3), this is optional u don't have to do this part
x^3 + 6x^2 - 3x + 4x^2 + 24x - 12
add like terms together
x^3 + 10x^2 + 21x - 12
In which choice is y a nonlinear function of x?
A 5 4
x y = +
B y x = + 10
C 3 2 4
x y x + = −
D 2 5 3 y x
The choice where y is a nonlinear function of x is option C: x y x + = −.
In this equation, the relationship between x and y is not a simple direct proportion or linear function. The presence of the exponent on x indicates a nonlinear relationship.
As x increases or decreases, the effect on y is not constant or proportional. Instead, it involves a more complex operation, in this case, the squaring of x and then subtracting it. This results in a curved relationship between x and y, which is characteristic of a nonlinear function.
Nonlinear functions can have various shapes and patterns, including curves, exponential growth or decay, or periodic behavior.
These functions do not exhibit a constant rate of change and cannot be represented by a straight line on a graph.
In contrast, linear functions have a constant rate of change and can be represented by a straight line.
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There are 32 students in a class. Nine of those students are women. What percent are men?
Answer:
72%
Step-by-step explanation:
you can divide part of a whole by the whole to get a decimal
this decimal is the percentage when you move the decimal 2 places to the right
32 - 9 = 23 men
23/32 = .72 (rounded)
.72 = 72%
on ran around a track that was 1/8 of a mile long.He ran around the track 24 times.how mant miles did jon run in all?
Answer:
3 miles
Step-by-step explanation:
1/8*24=3
Answer:
Step-by-step explanation:
He ran 24 times around the track1
Circumfrence of track=1/8 Mile
Total distance he covered=1/8*24
Distance = 3 miles
Charlie estimates the height of a building to be 924 feet. Charlie’s father tells him that his estimate has a 20% error. Explain why this is not enough information for Charlie to find the actual height of the building.
The actual height of the building will be 1108.7 feet.
How to calculate the Height?From the information, Charlie estimates the height of a building to be 924 feet and his father tells him that his estimate has a 20% error.
The height will be:
Height estimation + Estimation error
= 924 feet + (20% × 924 feet)
= 924 feet + 184.8 feet
= 1108.7. feet.
This illustrates the actual height of the building.
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Data Generation Use a linear congruential generator with parameters a = 41, c = 33, m = 100 and Z0 = 48 to generate a series of 100 numbers uniformly distributed in the interval [0,1]. a) Compute and compare the mean and standard deviation of these numbers with those obtained from the expected theoretical Uniform(0,1) distribution (continuous uniform). Explain any differences. b) A rheumatology clinic at a large teaching hospital in Ontario classifies patients into five priority classes with maximum clinically recommended wait times of 2, 9, 13, 26 and 52 weeks, respectively. The clinic observes weekly service requests with rates of 0.78, 7.41, 13.26, 10.05 and 7.50 for patients of priority 1, 2, 3, 4 and 5, respectively. Using this information and the uniform random numbers from part a), generate 100 observations for the priority of the patient associated with a randomly arriving service request to the rheumatology clinic.
To generate a series of 100 numbers uniformly distributed in the interval [0,1] using a linear congruential generator, we can use the parameters a = 41, c = 33, m = 100, and Z0 = 48.
A linear congruential generator is a simple method for generating pseudo-random numbers. It uses a recurrence relation of the form Zₙ₊₁ = (aZₙ + c) mod m, where Zₙ is the current random number, a is a multiplier, c is an increment, and m is the modulus. In this case, we start with an initial seed value of Z0 = 48 and generate subsequent numbers using the given parameters. To compute the mean and standard deviation of the generated series, we calculate the sample mean and sample standard deviation of the 100 numbers. The sample mean is the average of the numbers, while the sample standard deviation measures the spread or dispersion of the numbers around the mean. We can then compare these computed values with the expected theoretical values for a continuous uniform distribution on the interval [0,1]. The theoretical mean of a continuous uniform distribution is (a + b) / 2, where a and b are the endpoints of the interval. In this case, the mean is (0 + 1) / 2 = 0.5. The theoretical standard deviation of a continuous uniform distribution is (b - a) / sqrt(12), which for the interval [0,1] is 1 / sqrt(12) ≈ 0.2887. Any differences between the computed and theoretical mean and standard deviation may arise due to the nature of pseudo-random number generation. Linear congruential generators are deterministic and have certain limitations in terms of randomness. Deviations from the expected theoretical values can be attributed to the algorithm used and the chosen parameters. If the generated numbers deviate significantly from the expected mean and standard deviation, it may indicate that the linear congruential generator is not adequately simulating a continuous uniform distribution.
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“Use the equation 2p-7=25 to find the weight of your uncles backpack”
Answer:
the equation is 2p-7=25 // p = 16
Answer:
Your uncle's backpack weighs 16 pounds.
Step-by-step explanation:
1.) Add 7 to each side
2p=32
2.) Divide each side by 2
p = 16
3.) That is your answer.
PLEASE HELP... HURRY!!!!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16.
Which angles are corresponding angles with angle 8?
Angle4 and Angle12
Angle2 and Angle10
Angle6 and Angle14
Angle3 and Angle9
So, the answer is: Angle 6 and Angle.
What do you mean by parallel line?Parallel lines are a pair of straight lines that are always the same distance apart and never intersect, no matter how far they are extended. In other words, they have the same slope or gradient and do not meet or cross each other at any point. Parallel lines are often depicted using arrowheads on each end to indicate that they extend infinitely in both directions. The concept of parallel lines is important in many areas of mathematics, including geometry, trigonometry, and calculus, as well as in real-world applications such as engineering and architecture.
Given by the question.
Corresponding angles are pairs of angles that have the same relative position at each intersection where a straight-line crosses two other straight lines.
In this case, the transversal line t intersects with parallel lines r and s, and angle 8 is formed where line t crosses line's.
Therefore, the corresponding angles with angle 8 would be the ones that are also formed by the intersection of line t with line r, and these are angle 6 (clockwise from top left) and angle 14.
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Some might argue that without the Central Limit Theorem we really couldn’t do much of what we try to do with statistics.
Discuss how and why someone could make such a statement. In what ways does the Theorem enable us to perform statistical analysis that otherwise wouldn’t be available? Do you agree with the conjecture?
In your own words 200- 300 words
The given statement "without the Central Limit Theorem we really couldn’t do much of what we try to do with statistics." is true. Because The CLT plays a critical role in many statistical analyses and has contributed significantly to the advancement of the field of statistics. This theorem plays a critical role in many statistical analyses and is often used to make important decisions in fields such as finance, medicine, and engineering.
The Central Limit Theorem (CLT) is a fundamental concept in statistics that enables us to make inferences about a population based on a sample of data. The theorem states that, regardless of the underlying distribution of the population, the sampling distribution of the mean approaches a normal distribution as the sample size increases.
One could argue that without the CLT, many statistical techniques that we use today would not be possible. For instance, in hypothesis testing, the CLT is used to calculate the probability of obtaining a certain sample mean or proportion, given a null hypothesis about the population parameter.
Without the CLT, it would be difficult to calculate this probability accurately and would lead to unreliable results. The CLT allows us to assume that the sampling distribution of the mean is approximately normal, which enables us to construct these intervals.
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Mrs. Wong has placed together 60% of the pieces of a jigsaw puzzle She has placed 570 pieces of the puzzle together How many pieces are there in the whole puzzle? Explain whether or not it is possible to determine how many pleces there are in the whole puzzle using the given information. If so, show the calculations to find the total pieces in the puzzle If not explain why not Type the answer in the response area below
Pls help ASAP
Chris had a collection of 1,000 records at the beginning of the summer. After the summer, Chris had traded some of his records and now he has only 870 records.
What is the percent decrease of his record collection?
Please help worth 50 points if right.
Answer:
Step-by-step explanation:
git
is 5/2 rational or irrational
Answer:
Rational
Step-by-step explanation:
Any number that is written in fraction form is rational. Thus, making 5/2 rational.
Best of Luck!
Answer:
rational
Step-by-step explanation:
A rational number can be expressed in the form
\(\frac{a}{b}\) ← where a and b are integers
\(\frac{5}{2}\) is in this form and is rational
Dr. Aghedo is saving money in an account with continuously compounded interest. How long
will it take for the money she deposited to double if interest is compounded continuously at a
rate of 3.1%. Round your answer to the nearest tenth.
O a
C
Od
17.8 years
12.5 years
22.4 years
10.2 years
The time required for the deposit to double at 3.1% interest rate is 22.4 years.
What is the time required for the deposit to double?The formula for calculating compound interest can expressed as;
A = Pe^( rt )
Where A is the accrued amount, P is principal, r is interest and t is time.
Given the data in the question;
Let the deposit be represented by x
Principal P = xSince the deposit doubled
Accrued amount A = 2xCompounded continuouslyInterest rate r = 3.1%Time t = ?Plug the values into the above compound interest formula and solve for time t.
A = Pe^( rt )
t = ( In( A / p ) ) / r
t = ( In( 2x / x ) ) / 3.1%
t = ( In( 2 ) ) / 0.031
t = ( In( 2 ) ) / 0.031
t = 22.3595
t = 22.4 years.
Therefore, the time needed is 22.4 years.
Option C is the correct answer.
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A plumbing company charges $35 per hour plus a $25 travel charge for a service call. Another plumbing company charges $40 per hour for a service call with no travel charge. Solve the equation 35h+25=40h to find how many hours h a service call must be for the two companies to charge the same amount.
__ hour(s)
Answer:
5 hours
Step-by-step explanation:
35h + 25=40h
implies 25=40h-35h
25=5h
dividing both sides by 5,
h=5
find the result of 765 times 95 divided by 5?
please help me
Answer:
14,535
Step-by-step explanation:
765 times 95 : 765 x 95 = 72,675
divided by 5 : \(\frac{ 72,675}{5} = 14,535\)
Let me know if you want an even more in-depth answer
Happy to do so !
The solution of expression 765 times 95 divided by 5 is,
⇒ 14,535
We have to given that,
To find value of 765 times 95 divided by 5.
We can solve it in two parts,
⇒ 765 times 95
⇒ 765 x 95
⇒ 72,675
And, It is divide by 5,
⇒ 72,6756 / 5
⇒ 14,535
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