Answer:
141
2Step-by-step explanation:
Answer:
48 2/3
Step-by-step explanation:
Remember,
Absolute value of a +ve number = +ve
Absolute value of a -ve number = +ve
Absolute value of 48 2/3 = 48 2/3
M<7=100 find measure of <11
Answer:i think its 115 degres
Step-by-step explanation:
plss help with this problem!!
Answer:
52.1
Step-by-step explanation:
Suppose we wanted to create a confidence interval for the average amount of time students spend taking a final exam.
Does it make difference which level of confidence we use?
Yes, the level of confidence we use will affect the width of the confidence interval.
A confidence interval is a range of values that we are reasonably confident contains the true population parameter we are interested in, such as the average amount of time students spend taking a final exam. The level of confidence we use represents the probability that the true parameter lies within the calculated interval.
For example, a 95% confidence interval means that if we were to take many random samples from the population and compute a 95% confidence interval for each one, we would expect 95% of those intervals to contain the true population parameter. The width of the confidence interval depends on the level of confidence we choose. A higher level of confidence requires a wider interval to account for the increased probability of capturing the true parameter.
Therefore, if we want to create a narrower interval, we could choose a lower level of confidence, such as 90%, but this would also mean that we are less confident that our interval contains the true population parameter. Alternatively, if we want to increase our confidence that our interval contains the true parameter, we could choose a higher level of confidence, such as 99%, but this would result in a wider interval.
Ultimately, the choice of confidence level depends on the trade-off between the desired level of confidence and the width of the resulting interval.
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A pizza parlor offers 4 different pizza toppings. How many different kinds of 2-topping pizzas are available? 12 kinds, 8 kinds, 6 kinds, 5 kinds
there are 6 different kinds of 2-topping pizzas that are available. Answer: 6 kinds.
To find the number of different kinds of 2-topping pizzas that are available, we need to use the combination formula.
The number of ways to choose r items from a set of n items is given by the formula:
C(n,r) = n! / (r! * (n-r)!)
where n! means n factorial, which is the product of all positive integers up to n.
In this case, we want to choose 2 toppings from a set of 4 toppings, so we have:
C(4,2) = 4! / (2! * (4-2)!)
= 6
what is number?
A number is a mathematical object used to represent a quantity or value. Numbers can be classified into different types based on their properties and characteristics.
Some common types of numbers include:
Natural numbers: positive integers (1, 2, 3, ...)
Whole numbers: all positive integers and 0 (0, 1, 2, 3, ...)
Integers: positive and negative whole numbers (-3, -2, -1, 0, 1, 2, 3, ...)
Rational numbers: numbers that can be expressed as a ratio of two integers (such as 1/2, -3/4, 5, etc.)
Irrational numbers: numbers that cannot be expressed as a ratio of two integers and have a non-repeating decimal expansion (such as π, √2, etc.)
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Factor the polynomial: 2x2(x - 5) - 3(x - 5)
O A. (x - 5)(2x2 - 3)
B. (x - 5)(2x - 3)
O c. 2x2(x - 5)
O D. (x - 5)(2x + 3)
Answer:
A
Step-by-step explanation:
\(2x^2(x-5)-3(x-5)=\\2x^3-10x^2-3x+15=\\(x-5)(2x^2-3)\)
Therefore, the correct answer is choice A. Hope this helps!
The factor of the polynomial is (x - 5)(2x² - 3).
Option A is the correct answer.
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
We can factor the polynomial 2x² (x - 5) - 3(x - 5) by first factoring out the common factor of (x - 5).
This gives:
2x² (x - 5) - 3(x - 5)
= (x - 5)(2x^2 - 3)
Thus,
The factor of the polynomial is (x - 5)(2x² - 3).
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Enter the equation of the line in slope-intercept form.
The line passes through (1,7) and (2,19).
The equation of the line is
Answer:
ajfbgaulfgsuidglml
Step-by-step example:
I really really need your help!!
Answer:
1.) 1/2x = 32
2.) 3x = 18
3.) x/7 = 4
4.) 5m=105
divide both sides by 5
m= 21
5.) -2c=-32
divide both sides by -2
c=16
6.) x/4=-44
multiply both sides by 4
x=-176
7.) s/-3 = -21
multiply both sides by -3
s=63
If an artist combines 6 L of 33% by volume solution and 4 L of 60% by volume solution, what's the percent by volume of the resulting solution
The percent by volume of the resulting solution is 10L by 93 percent
How to determine the volumeThe resulting solution = sum of the volumes of both solutions
Resulting solution = 6L × 33 percent + 4L × 60 percent
Resulting solution = 10 L × 93 percent
This is so because both solutions add up to form the resulting solution
Thus, the percent by volume of the resulting solution is 10L by 93 percent
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Given f(x) = -2 and g(x) = 5x - 6, find h(x) = f(x) ⋅ g(x)
h(x) = _____ x _____ _____
Answer:
10x+12 is the answer in my calculation.
A Store recudes the price of a jacket by 40%. The sale price of the jacket is $30.
A. What percent of the original price is the sale's price
B. What was the original price of the jacket.
Answer:
A. 60%
B. The original price is $50
Step-by-step explanation:
A. 60%
Sales Price = 100 - 40 = 60%
The sales price is $30.00
Therefore 60% is equal to $30.00
60% = $30
1% = 30 ÷ 60 = $0.50
100% = 5 x 100 = $50
B. The original price is $50
Percentage of the original price = 30/50 x 100 = 60%
find the product of the given polynomial if p(X)=2x-3 and g(X)=6x+4
Answer:
Given,
p (x)=2x-3
g (x)=6x+4
p (x)×g (x)=?
Step-by-step explanation:
p (x)×g (x)=(2x-3)(6x+4)
=2x (6x+4)-3 (6x+4)
=12x^2+8x-18x-12
=12x^2-10x-12
In a lab experiment, 5000 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 12 hours. How long would it be, to
the nearest tenth of an hour, until there are 22100 bacteria present?
Answer:25.7
Step-by-step explanation:
Franklin's office just started a new recycling program this year. They aim to recycle 7 kilograms of paper each week. Write an equation that shows the relationship between the number of weeks Franklin's office is on the recycling program, x, and the total number of kilograms of paper recycled, y
Answer:
7x=y
Step-by-step explanation:
7x=y
7 times x(#of weeks)= y (paper recycled)
Hence, the relationship between the number of weeks Franklin's office is on the recycling program is \(7x=y\).
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
Franklin's office just started a new recycling program this year. They aim to recycle \(7\) kilograms of paper each week.
So, it would be
\(7x=y\)
Hence, the relationship between the number of weeks Franklin's office is on the recycling program is \(7x=y\).
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Suppose that X is a random variable with moment generating function Mx. Give an expression for E[X*] + Var (X²) in terms of Mx and its derivatives.
The expression for E[X*] + Var(X²) in terms of the MGF Mx and its derivatives is Mx'(0) + Mx''''(0) - (Mx''(0))².
To express E[X*] + Var(X²) in terms of the moment-generating function (MGF) Mx and its derivatives, we can use the properties of MGFs and moment calculations.
Let's break down the expression step by step:
E[X*]:
The expectation of X* is given by the first derivative of the MGF evaluated at t=0:
E[X*] = Mx'(0)
Var(X²):
The variance of X² can be calculated as Var(X²) = E[(X²)²] - (E[X²])²
To find E[(X²)²], we need the fourth derivative of the MGF evaluated at t=0:
E[(X²)²] = Mx''''(0)
And to find E[X²], we need the second derivative of the MGF evaluated at t=0:
E[X²] = Mx''(0)
Putting it all together:
E[X*] + Var(X²) = Mx'(0) + Mx''''(0) - (Mx''(0))²
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What are the real and imaginary parts of the complex number?
−7+8i
Enter your answers in the boxes.
Answer: The real part is -7, the imaginary part is 8i
Step-by-step explanation:
Answer: The Real Part: -7
The imaginary Part: 8i
Step-by-step explanation:
Integrate by hand the following functions: adr b) (42³-2r+7) dz Upload Choose a File
The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.
To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:
∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C
where C is the constant of integration.
Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.
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a student performs an experiment where they flip a coin 3 times . if they perform this experiment 200 times, predict the number of repetitions the experiment that will results in exactly two of the three flips landing on tails
We can predict that out of 200 repetitions of the experiment, approximately 75 of them will result in exactly 2 of the 3 flips landing on tails.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It is used to quantify the uncertainty associated with a particular event or outcome. In simpler terms, probability is a measure of the likelihood that a certain event will occur, expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain.
There are different types of probability, including classical probability, empirical probability, and subjective probability. Classical probability is based on the assumption of equally likely outcomes, while empirical probability is based on actual observations or experiments. Subjective probability, on the other hand, is based on personal judgment or belief.
The probability of getting tails on any single flip of a fair coin is 1/2. Since we are flipping the coin three times, the probability of getting exactly two tails is given by the binomial probability formula:
P(exactly 2 tails) = (number of ways to get 2 tails out of 3) * (probability of getting tails)² * (probability of getting heads)¹
The number of ways to get 2 tails out of 3 is given by the binomial coefficient "3 choose 2", which is 3. So we have:
P(exactly 2 tails) = 3 * (1/2)² * (1/2)¹ = 3/8
This means that the probability of getting exactly 2 tails in one trial of flipping the coin 3 times is 3/8.
To predict the number of repetitions out of 200 that will result in exactly 2 tails, we can multiply the probability of getting exactly 2 tails in one trial by the total number of trials:
Number of repetitions with exactly 2 tails = P(exactly 2 tails) * total number of trials
Number of repetitions with exactly 2 tails = (3/8) * 200
Number of repetitions with exactly 2 tails = 75
Therefore, we can predict that out of 200 repetitions of the experiment, approximately 75 of them will result in exactly 2 of the 3 flips landing on tails.
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1. Seth hiked 3.5 miles each hour.
Ordered pairs were graphed of
the total distance Seth hiked. The
x-coordinate represents the total
time, in hours, Seth hiked, and the
y-coordinate represents the total
distance, in miles, he hiked. Select all
of the ordered pairs that represent
this relationship.
(2,7)
(1,7)
(4,14)
(5,21)
(0, 0)
The ordered pairs that represent this relationship include the following:
A. (2, 7)
C. (4, 14)
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the x-variable total distance, in miles.x represents the total time, in hours.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 7/2 = 14/4
Constant of proportionality, k = 3.5.
Therefore, the required linear equation is given by;
y = kx
y = 3.5x
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The diagonal of a tv screen is 26 inches. the base is 18.8 inches wide. how tall is the tv?
the height of the triangle formed by the diagonal and base of the TV screen.
The height of the TV is approximately 15.6 inches.
(26 inches / √2) = 18.8 inches
(18.8 inches * √2) = 26 inches
Height = (26 inches / 18.8 inches) * 18.8 inches
Height = 15.6 inches
Step 1: Calculate the hypotenuse of the triangle formed by the diagonal and base of the TV screen.
Hypotenuse = diagonal / √2
Hypotenuse = 26 inches / √2
Hypotenuse = 18.8 inches
Step 2: Calculate the diagonal of the triangle formed by the hypotenuse and base of the TV screen.
Diagonal = hypotenuse * √2
Diagonal = 18.8 inches * √2
Diagonal = 26 inches
Step 3: Calculate the height of the triangle formed by the diagonal and base of the TV screen.
Height = diagonal / base
Height = 26 inches / 18.8 inches
Height = 15.6 inches
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Factorize : 8x^3 - (2x - y)^3
A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours.
(a) What is the probability that a randomly chosen light bulb lasts more than 10,500 hours?
(b) Describe the distribution of the mean lifespan of 15 light bulbs.
(c) What is the probability that the mean lifespan of 15 randomly chosen light bulbs is more than 10,500 hours?
(d) Sketch the two distributions (population and sampling) on the same scale.
(e) Could you estimate the probabilities from parts (a) and (c) if the lifespans of light bulbs had a skewed distribution?
A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:
A normal distribution with,
μ = 9000
σ = 1000
a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.
x = 105000 - 9000 / 1000 ≈ 1.50
Determine the corresponding probability using the normal probability table in appendix,
P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)
= 1 - 0.9332 = 0.0668.
b) n = 15
The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.
The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
μ = 1000/√15 = 258.19
c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
The z-value is the sample mean decreased by the population mean, divided by the standard deviation:
z = x-u/σ/√n = 10500-9000/1000√15 = 5.81
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There are 48 members of the swim team. The ratio of boys to girls is 3:5. How many girls are on the swim tearn? Explain how you found your answer.
Answer:
There are 30 girls
Step-by-step explanation:
The ratio is 3:5 so (3)*(6)= 18 boys , and (5)*(6)=30
30+18=48 members
There were 30 girls in swim team.
We have,
Total Members = 48
Ratio of Boys to Girls= 3:5
So, the number of boys are
= 3/8 x 48
= 3 x 6
= 18
and, the number of girls
= 5/8 x 48
= 5 x 6
= 30
Thus, 30 girls were in swim team.
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Subtract. Put you answer in lower terms.
47/50 - 3/10
A. 44/40
B. 32/50
C. 13/60
D. 16/25
The required simplified solution of the given subtraction is 16/25. Option D is correct.
Given that,
To Subtract. and determine the lower terms,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 47/50 - 3/10
= [47 - 3×5] / 50
= [47 - 15] /50
= 32 / 50
= 16 / 25
The required simplified solution of the given subtraction is 16/25. Option D is correct.
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Answer:
d) 16/25
Step-by-step explanation:
The problem is,
→ (47/50) - (3/10)
Let's solve the problem,
→ (47/50) - (3/10)
→ (47/50) - (15/50)
→ (47 - 15)/50
→ 32/50
→ (32 ÷ 2)/(50 ÷ 2)
→ 16/25
Hence, answer is 16/25.
Fatima conducts emissions inspections on cars. She finds that 6\%6%6, percent of the cars fail the inspection. Let ccc be the number of cars fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.
The probability that the first failed inspection occurs on Fatima's 5th inspection i.e P(c = 5) is 0.05..
Geometric probability distribution:In probability and statistics,the geometric distribution defines the probability of the first success occurring after k trials. The probability of success is p
P r ( X = k ) = ( 1 − p )⁽ᵏ⁻¹⁾ p.
We have given that,
An emissions inspections on cars is conducted by Fatima.
Probability that car fail the inspection, p = 6% = 0.06
let c denoted the number of cars that are inspected until one car fail to inspection.
The random variable c here. Here c follow geometric probability distribution with probability of success (0.06).
Plugging all known values in above formula we get, p(c= 5) = (1-0.06)⁴ × 0.06
= (0.94)⁴ (0.06)
=0.0468449376~ 0.05
so, the answer is 0.05
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Complete question:
Fatima conducts emissions inspections on cars. She finds that 6%, percent of the cars fail the inspection. Let C be the number of cars Fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.
Required:
Find the probability that the first failed inspection occurs on Fatima's 5th inspection
Find the slope-intercept equation of the line that passes through (5, 5) and has a slope of 1/3.
Answer:
y = 1/3x + 10/3
Step-by-step explanation:
→ Write gradient into format
y = 1/3x + c
→ Substitute in (5,5)
5 = 5/3 + c
→ Find c
c = 5 - 5/3 = 10/3
→ Finish off
y = 1/3x + 10/3
Tree rings in dendrochronology are counted to yield precise dates in years, however, if the tree ring record for the specific region is not well established in order to utilize this dating technique samples from the tree have to be collected from a tree that is:
In dendrochronology, tree rings are counted to determine precise dates. However, if the tree ring record for a specific region is not well-established, samples need to be collected from a tree that is...
In order to utilize dendrochronology as a dating technique when the tree ring record for a particular region is not well-established, researchers must collect samples from a tree that serves as a reference or anchor. This tree, known as a master or living chronology, is typically an older, long-lived tree species that has a well-defined and uninterrupted growth pattern. By analyzing the tree rings of this master chronology, researchers can establish a timeline that extends back several centuries or even millennia. They can then compare the pattern of growth rings in the collected samples with the master chronology and determine the dates associated with each ring. This process relies on the principle that trees in the same region will respond similarly to environmental factors and exhibit similar growth patterns. Through careful analysis and cross-referencing, scientists can create a reliable tree ring record for the specific region, enabling accurate dating of samples collected from other trees in that area.
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Functions A function is defined by the equation f(x) = 2x - 5
77
If the measure of angle is 8 is 4 , which statements are true?
A-cos(8) = -1
B-The measure of the reference angle is 60°.
C-The measure of the reference angle is 30°.
D-The measure of the reference angle is 45°.
E-sin() - 2
F-tan(O) = -1
Answer:
fifth option is the correct ans
sin(thita) = -sqare root 2 / 2
The statements which are true are,
The measure of reference angle is 45° and tan (θ) = -1.
What is Reference Number?Reference number associated with t is defined as the shortest distance from the x axis to the terminal point t, along a unit circle.
Reference angle is shortest angle measure from the X axis to the terminal side of the angle.
Reference angle = 2π - 7π/4 = π/4 = 45°
We have,
7π/4 = 2π - π/4
We also know that,
cos(2π - x) = cos x,
sin (2π - x) = -sin x
tan (2π - x) = -tan x
So, using theses identities,
cos (7π/4) = cos (2π - π/4) = cos(π/4) = 1/√2
sin (7π/4) = sin (2π - π/4) = -sin (π/4) = -1/√2
tan (7π/4) = tan (2π - π/4) = -tan (π/4) = -1
Hence the true statements are The measure of reference angle is 45° and tan (θ) = -1.
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What are the consecutive perfect cubes which added to obtain a sum of 100? PLEASE HELP!!!!!!!
Answer: 1, 2, 3, 4 are the consecutive perfect cubes which are added to obtain a sum of 100.
Step-by-step explanation:
Perfect cubes are the numbers that are triple product of same number.
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
1+8+27+64 = 100
Answer: 1, 2, 3, 4 are the consecutive perfect cubes which are added to obtain a sum of 100.
Explanation:
Perfect cubes are the numbers that are triple product of same number.
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
1+8+27+64 = 100
–18 • –17
solve please
Answer:
306
Step-by-step explanation:
Answer:
306
Step-by-step explanation:
-18x-17 is 306 because a negative number times a negative number is always a positive so it would be 18x17 which is 306