Is the statement true or false?
If x = 6, then x can
only be equal to 6.
True
False
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The statement "If |x| = 6, then x can only be equal to 6" is false.
The absolute value of a number represents its distance from zero on the number line.
The expression |x| = 6 means that the distance of x from zero is 6. Therefore, x can be either positive or negative 6.
In this case, x can be either 6 or -6 because both numbers have an absolute value of 6.
Hence, x is not limited to being equal to only 6.
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Fish tank has sprung a leak at the bases of the tank 5% of the water is lost every minute How much water is lost from the tank after ten minutes
Answer: 50%
Step-by-step explanation:
From the question given, we are informed that a fish tank has sprung a leak at the bases of the tank and that 5% of the water is lost every minute
Based on the information given, the amount of water that is lost from the tank after ten minutes will be:
= 5% × 10
= 0.05 × 10
= 0.5
= 50%
This means that after 10minutes, 50% of the water will be lost.
Assume you are standing under a sloped roof with west being the positive direction. The
height of the sloped roof above the place where you stand is 20 feet. If you move 4 feet
west the height is 11 feet. What is the slope?
Answer:
The slope is -9/4 or -2.25.
Step-by-step explanation:
To find the slope (S) we need to use the following equation:
\( S = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \)
Where:
y₂: is the final height = 11 feet
y₁: is the initial heoght = 20 feet
x₂: is the final position is the horizontal direction = 4 feet
x₁: is the initial position = 0 (origin)
\( S = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{11 - 20}{4} = -\frac{9}{4} = -2.25 \)
Therefore, the slope is -9/4 or -2.25.
I hope it helps you!
I need help quickly,.............
The answer is -√125
Step-by-step explanation:
-√125 does not simplify to an integer as -√125 = -5√5
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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Randy bought 3 sub sandwiches and a hamburger for a total of $27.50.
The hamburger cost $5.75.
The sub sandwiches each cost the same amount.
What amount did Randy pay for each sub sandwich?
After using linear equation - Randy paid $7.25 for each sub sandwich.
What are linear equations with one variable?
The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 4x+4=8 only has one variable.
we are given that,
cost of one hamburger = $5.75
let us assume the cost of one sub sandwich to be $x
thus the cost of three sub sandwiches will be $3x.
we know his total came out to be $27.50
therefore,
we are given that
cost of one hamburger + 3 sub sandwiches = $27.50
= 5.75 + 3x = 27.50
= 3x = 27.50 - 5.75
= 3x = 21.75
= x = 21.75/3
= x = $7.25
thus we know that one sub sandwich costs randy $7.25.
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The question is in the image
Answer:
-7c^2+2c is standard or simplified form degree is 2 and leading coefficient is -7
Step-by-step explanation:
please give brainliest im only 9 and uh have a good day bye
:D
The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.
The price f(x), in dollars, of fuel A after x months is represented by the function below:
f(x) = 2.15(0.98)x
Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
Part B: The table below shows the price g(m), in dollars, of fuel B after m months.
m (number of months)
1
2
3
4
g(m) (price in dollars)
4.19
3.98
3.78
3.59
Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer. (5 points)
Answer:
A: Fuel A is decreasing 2% per month
B: Fuel B is decreasing 5% per month, a greater change
Step-by-step explanation:
Given the price equation f(x) = 2.15(0.98^x) and a price table for g(m), you want to know the percentage by which f(x) is increasing or decreasing, and if f(x) or g(m) recorded a greater change over the previous month.
(a) Change in f(x)The function f(x) is of the form ...
f(x) = (initial value)·(growth factor)^(time)
where ...
growth factor = 1 + growth rate
Using this last equation and comparing the function forms, we see ...
growth factor = 0.98 = 1 +growth rate
growth rate = 0.98 -1 = -0.02 = -2%
The price of fuel A is decreasing at 2% per month.
(b) Change in g(m)The percentage change in g(m) can be found by ...
(g(2) -g(1))/g(1) × 100%
(3.98 -4.19)/4.19 × 100% ≈ -5.0%
The price of fuel B records a greater percentage price change over the previous month.
<95141404393>
WILL MARK BRAINLIEST IF GOTTEN RIGHT
Pls, act quick. I need the answer in like 2 mins. If you can't see it zoom in.
First, the correct answer gets the brainiest.
50 feet long
Step-by-step explanation:
,,,,,,,,,,,,,,,,,,,
HELP ASAP PLEASE answer quickly
Answer:
A. \(\frac{3}{5}\)
B. \(\frac{7}{10}\)
C. B (you already got that right)
Step-by-step explanation:
To find the probability of something, we have to see how many times it happened over the total amount of attempts.
On Tuesday the target was hit 18 times in 30 attempts. So our probability fraction is \(\frac{18}{30}\) which simplifies to \(\frac{3}{5}\).
Looking at the total results, we can see Ben hit the target 84 times out of 120, so the fraction is \(\frac{84}{120}\) which simplifies to \(\frac{7}{10}\).
There’s always one rule of statistics/probability - the more data the better. If we want to create a more reliable probability, we’d want more data, and the total data gives us more than just Tuesday’s Data.
Hope this helped!
Find the 74 thterm of -19, -14, -9, -4, ..
-0.9 -0.4. Make sense at all???
Francis earned the following scores on his math quizzes: 86, 84, 90. Jillian earned the following scores on her math quizzes: 84, 90, 86. Who earned a greater total score? Which addition property can you use to find the answer?
It's due in 5 minutes please help
Jillian and Francis both earned the same total score. I used commutative property of addition to find the answer.
Francis: 86, 84, 90 ---> 84,86,90
Jillian: 84, 90,86---> 84,86,90
I hope this helps, have a great day!
what is 42,400 at 13% for 2 years
The amount 42,400 at 13% for 2 years will be 53,424 in total with the interest 11,024.
we calculate the simple interest by multiplying the principal amount by the number of periods and the interest rate. Simple interest does not compound, and you don’t have to pay interest on interest. In simple interest, the payment applies to the month’s interest, and the remainder of the payment will reduce the principal amount.
The simple interest calculated by the following mathematical formula:
A = P (1+rt)
P = Principal Amount
R = Rate of interest
t = Number of years
A = Total accrued amount (Both principal and the interest)
Interest = A – P.
A= 42,400(1+0.13×2)
A= 53,424
Interest = A-P
53,424- 42,400 = 11,024.
Thus the amount will be 53,424 and Interest will be 11,024.
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The amount ₹ 42400 at 13% for 2 years will be ₹ 53424 with ₹ 11024 interest.
What is Simple Interest ?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
How Simple Interest is calculated ?Simple Interest is calculated using the following formula: SI = P × R × T/100, where P = Principal, R = Rate of Interest, and T = Time period. Here, the rate is given in percentage (r%) is written as r/100. And the principal is the sum of money that remains constant for every year in the case of simple interest.
What is Amount ?Amount is the total money paid back at the end of the time period for which it was borrowed.
How Amount is calculated ?The total amount formula in case of simple interest can also be written as: A = P + SI, where P = Principal and SI = Simple Interest.
In this question,
P = ₹ 42400
R = 13%
T = 2 years
SI = P x R x T / 100
= 42400 x 13 x 2 / 100
= 424 x 13 x 2
SI = ₹ 11024
Amount = P + SI
= ₹(42400 + 11024)
= ₹ 53424
The amount ₹ 42400 at 13% for 2 years will be ₹ 53424 with ₹ 11024 interest.
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How many inches means 1 feet?
1 foot is equal to 12 inches. So one feet is equal to 12 inches. The conversion factor between feet and inches is 1 ft = 12 in.
Inches (in) and feet (ft) are both units of measurement for length, but they are not directly interchangeable. To convert a measurement of length from feet to inches, you will need to use a conversion factor.
To convert a measurement of length from feet to inches, you will multiply the number of feet by the conversion factor of 12.
For example,
if you have a measurement of 2 feet, you would multiply 2 x 12 to get 24 inches. So, 2 ft = 24 in.
It's important to note that when measuring length, it's important to use the same system of measurement as the requirement, as using the wrong measurements can greatly affect the outcome of the calculation. It's always good to know the conversion factors to make your calculations easier.
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Which of these options is not a quadratic equation in x?
Answer:
3x³ - 2x² + 1 = 0
Step-by-step explanation:
By definition, a quadratic equation cannot have an exponent higher than 2.
Answer:
3x³ - 2x² + 1 = 0
Step-by-step explanation:
Which line best describes the narrative structure of "Cautionary Tale of Girls and Birds of Prey"?
1) alliteration and assonance that create a peaceful, dreamlike rhythm
2)exaggeration and hyperbole used to describe a girl’s irrational fear of a bird of prey
3)images that make the reader question whether the girl only imagined the hawk
4)two-line stanzas that slowly build suspense about the girl’s fear of the hawk
The answer is Option 4) two-line stanzas that slowly build suspense about the girl’s fear of the hawk.
What is a metaphor?In literature, metaphors are frequently used to evoke strong feelings and express nuanced concepts. Because they establish a clear connection between two objects, they can be more effective than similes, but they can also be trickier to understand because they depend on the reader's comprehension of the suggested meaning. On the other hand, similes are frequently used in everyday language and might have a clearer meaning.
The poem is divided into two-line stanzas, with each stanza offering a specific concept or illustration that helps to heighten the tension around the girl's hawk phobia. Up until the final stanza, where the story's climax is disclosed, each of the stanzas builds on the one before it, intensifying the situation and the girl's anxiety. The short, pointed lines that emphasise the bird's unexpected arrival and motions, as well as the poem's structure, all contribute to its tense, unsettling atmosphere.
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Solve: -8 = -7 + X x =
-8 = -7 + X
- 8 + 7 = X (Adding 7 to both sides of the equation)
-1 =x (Subtracting)
The answer is x=-1.
the answer of -8 = -7 +Xx is x= -1
A software package consists of 12 programs, five of which must be upgraded. if 4 programs are randomly chosen for testing. required:
a. what is the probability that at least two of them must be upgraded?
b. what is the expected number of programs, out of the chosen four, that. must be upgraded?
5/12 or 1.6667 is the expected number of programs, out of the chosen four that must be upgraded.
What is the expected number ?an arithmetical number used in counting and calculating that is represented as a word, symbol, or figure that represents a specific quantity.
12 programs and five upgraded ,if 4 programs are randomly chosen for testing. required:
Simple version. Define a random variable for each of the four selected programs,
where I = 1, 2, 3, and 4.
If program I has to be upgraded, X1 = If program I doesn't require an upgrade, then 0.
Every X has a Bernoulli distribution with p = P as the parameter. If Program I requires an Upgrade 5/12 = because 5 of the 12 programs need to be updated.
When this happens, () E(X) = E(X1+X2 + X3+X4)=p+p+p+p=(4)
5/12 or 1.6667.
5/12 or 1.6667 is the expected number of programs, out of the chosen four that must be upgraded.
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What must the measure of the
angle marked yº be in order for the seat of the bench to be
parallel to the ground?
Answer:
Linear pair angle of 136 degree =180-136
=44
Therefore angle y is alternate angle of 44
Therefore angle y=44
Answer:
44
Step-by-step explanation:
180 - 136 = 44
Joey has 30 model airplanes to paint. He has painted 18 models so far.
What percentage of the models has he painted?
Answer:
60%
Step-by-step explanation:
18/30 = 3/5 100 divided by 5 =20 x 3=60%
If f(x) = 3 ^ x - 7 and g(x) = x ^ 2 + 11 , the value of f(2) - g(7) is:
Answer:
The value of \(f(2) - g(7)=-58\)
Step-by-step explanation:
We have
\(f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58\)
Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for
Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..
What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i
This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.
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3
To find the height of a tower standing on a small hill,
Maria made some measurements (see diagram).
From a point B, the angle of elevation of C is 20°, the angle of
elevation of A is 50° and the distance BC is 25 m.
a Calculate these angles.
i ABC
ii BAC
b Using the sine rule and triangle ABC, calculate the height
h of the tower.
B
50⁰
20⁰
25 m
C
Using the sine rule and triangle ABC, the height is 14.43375ft. BAC=40° and ABC=30°
if C is 20° and A is 50°
ABC=50°-20°=30°
BCA=20°+90°=110°
ABC+BCA+BAC=180°
30°+110°+BAC=180°
BAC=180°-140°=40°
Using the sine rule and triangle ABC,
opposite=x
adjacent =25 m.
tanθ =x/25
Multiplying both sides by 25 gives
x=25* tan 30° =25* 0.57735.=14.43375
To put it another way, there is only one plane that contains all of the triangles. All triangles are enclosed in a single plane on the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Unless otherwise specified, this article deals with triangles in Euclidean geometry, specifically the Euclidean plane.
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Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d.
The probabilities for the hypergeometric distribution with the given parameters are:
a. P(X = 1) ≈ 0.000407
b. P(X = 6) = 0
c. P(X = 4) ≈ 0.098117
d. P(X = 0) ≈ 1.97e-05
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
To determine the probabilities for the hypergeometric distribution with the given parameters, we can use the following formula:
P(X = k) = (choose(K, k) * choose(N-K, n-k)) / choose(N, n)
where "choose(a, b)" represents the binomial coefficient, calculated as a! / (b! * (a - b)!)
Let's calculate the probabilities:
a. P(X = 1):
P(X = 1) = (choose(20, 1) * choose(100-20, 4-1)) / choose(100, 4)
= (20 * 80) / 3921225
≈ 0.000407
b. P(X = 6):
P(X = 6) = (choose(20, 6) * choose(100-20, 4-6)) / choose(100, 4)
= (38760 * 0) / 3921225
= 0
c. P(X = 4):
P(X = 4) = (choose(20, 4) * choose(100-20, 4-4)) / choose(100, 4)
= (4845 * 80) / 3921225
≈ 0.098117
d. P(X = 0):
P(X = 0) = (choose(20, 0) * choose(100-20, 4-0)) / choose(100, 4)
= (1 * 77) / 3921225
≈ 1.97e-05
Therefore:
a. P(X = 1) ≈ 0.000407
b. P(X = 6) = 0
c. P(X = 4) ≈ 0.098117
d. P(X = 0) ≈ 1.97e-05
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The complete question is:
Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d. P(X = 0).
PLEASE HELPP
Which of the following is equivalent to (6x^4) (3x^2)?
(6+3)x^4*2
(6*3)x ^4*2
(6+3)x ^4+2
(6*3)x^4+2
\((6x^{4} )(3x^{2} )\) is equivalent to (6*3)\(x^{4+2}\) .
Hοw the prοduct οf pοwers rule is expressed?The Prοduct οf pοwers rule is expressed as
Twο οr mοre expοnential terms with same pοwer are οften invοlved in multiplicatiοn in mathematics but it is impοssible fοr multiplying them directly same as the numbers. Hence, a special prοduct rule is required tο multiply the indices with same expοnent. In this case, the bases οf the expοnential terms can be same οr different.
A prοperty fοr multiplying the expοnents with same pοwer is derived in mathematical fοrm. It expresses that the prοduct οf twο οr mοre expοnents with same pοwer is equal tο the pοwer οf a prοduct οf the bases.
The prοduct οf expοnents with same pοwer is written as pοwer οf a prοduct οf the bases.
The pοwer οf an expοnent with a base is written as prοduct οf expοnents with different bases.
It says that if the bases are the same and are multiplying, the pοwers will add up.
The expression is given as: \((6x^{4} )(3x^{2} )\).
The 6 and 3 will get multiplied and the powers of x will add up.
The correct answer is (6*3)\(x^{4+2}\).
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Please help guys<333
Answer:
2
Step-by-step explanation:
because u need to multiply
What is the slope of (-9,4) (-12,8)?
Answer: -5/3
Step-by-step explanation:
Answer: m = -4/3
Step-by-step explanation:
If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .
The nth term of the sequence 3/2, 3, 7, 16, 35, 74,... is?
Answer:
95 is the sequence
Step-by-step explanation:
The given sequence appears to follow the pattern where each term is obtained by multiplying the previous term by 2 and then adding 1. Using this pattern, we can derive a formula for the nth term of the sequence as a(n) = 3 * 2^(n-1) - 1, where a(n) represents the nth term of the sequence and n is a positive integer.
For example, to find the 6th term of the sequence, we can substitute n = 6 into the formula to get a(6) = 3 * 2^(6-1) - 1 = 3 * 2^5 - 1 = 95. So, the 6th term of the sequence is 95.
please help me with these (10) points Also please explain your answer
The flat rate for your service runs $9.50 per hour. To cover costs, you charge the flat rate plus 15% of that rate for the first 8 hours, and 10% of that rate on the second 8 hours. You estimate that a particular job will take 16 hours. Write the equations and the total estimate.
(9.50 + 0.15 x 9.50) x Hours and (9.50 + 0.10 x 9.50) x Hours are the equation to and the total cost estimate is $173.04.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
For the first 8 hours: The flat rate is $9.50 per hour, so 15% of that rate is 0.15 x 9.50 = $1.43.
The cost for the first 8 hours is (9.50 + 1.43) x 8 = $96.64.
For the next 8 hours: The flat rate is still $9.50 per hour, so 10% of that rate is 0.10 x 9.50 = $0.95.
The cost for the next 8 hours is (9.50 + 0.95) x 8 = $76.40.
Total cost estimate = $96.64 + $76.40 = $173.04
We can also write the equations for the costs as follows:
For the first 8 hours: Cost = (9.50 + 0.15 x 9.50) x Hours = 1.15 x 9.50 x Hours
For the next 8 hours: Cost = (9.50 + 0.10 x 9.50) x Hours = 1.10 x 9.50 x Hours
Using these equations, we can calculate the cost for any number of hours up to 16.
Hence, (9.50 + 0.15 x 9.50) x Hours and (9.50 + 0.10 x 9.50) x Hours are the equation to and the total cost estimate is $173.04.
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Answer:
(9.50 + 0.15 x 9.50) x Hours and (9.50 + 0.10 x 9.50) x Hours are the equation to and the total cost estimate is $173.04.
Step-by-step explanation: