Answer:
y = 6
Step-by-step explanation:
.
Determine which integer will make the inequality 2(n + 2) < 5(n − 1) true.
S:{10}
S:{3}
S:{2}
S:{0}
Hence, when \(n=10\) the given inequality is true.
What is the inequality?
An inequality is said to be sharp if it cannot be relaxed and still be valid in general.
Here given that,
Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.
So,
\(2(n + 2) < 5(n-1)\)
When
\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)
Hence, when \(n=10\) the given inequality is true.
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use conversion factors to convert write the factor used 600 centimeters to meters
The conversion factor we used is (1 meter / 100 centimeters), which allowed us to convert 600 centimeters to 6 meters.
How to convert centimeters to meters?To convert 600 centimeters to meters, we can use this conversion factor as a fraction and set up the equation as follows:
600 centimeters x (1 meter / 100 centimeters) = meters
In this equation, the units of centimeters cancel out, leaving us with the unit of meters, which is what we want to find. The fraction (1 meter / 100 centimeters) represents the conversion factor we're using, and it allows us to convert from centimeters to meters.
Now, we can simplify the equation by multiplying 600 by the fraction (1 meter / 100 centimeters):
600 centimeters x (1 meter / 100 centimeters) = (600 x 1) meters / 100
This gives us:
600 centimeters = 6 meters
Therefore, the conversion factor we used is (1 meter / 100 centimeters), which allowed us to convert 600 centimeters to 6 meters.
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Suppose the mean is 80 and the variance is 400 for a population. In a sample where n=100 is randomly taken, 95% of all possible sample means will fall above 76.71. True False
The statement is true that 95% of all possible sample means will fall above 76.71.
We know that the sample mean can be calculated using the formula;
\($\bar{X}=\frac{\sum X}{n}$\).
Given that the mean is 80 and the variance is 400 for the population and the sample size is 100. The standard deviation of the population is given by the formula;
σ = √400
= 20.
The standard error of the mean can be calculated using the formula;
SE = σ/√n
= 20/10
= 2
Substituting the values in the formula to get the sampling distribution of the mean;
\($Z=\frac{\bar{X}-\mu}{SE}$\)
where \($\bar{X}$\) is the sample mean, μ is the population mean, and SE is the standard error of the mean.
The sampling distribution of the mean will have the mean equal to the population mean and standard deviation equal to the standard error of the mean.
Therefore,
\(Z=\frac{76.71-80}{2}\\=-1.645$.\)
The probability of the Z-value being less than -1.645 is 0.05. Since the Z-value is less than 0.05, we can conclude that 95% of all possible sample means will fall above 76.71.
Conclusion: Therefore, the statement is true that 95% of all possible sample means will fall above 76.71.
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275 students brought their lunch. Which was 25% of the students. How many students went on the trip?
Answer:
1,100
Step-by-step explanation:
Wow that's a lot of students. Anyway, 25% is one fourth of the 100%, so we multiply 275 by 4 and we get 275.
How do you write 5.3 * 104 in standard form?
Write two numbers that multiply to the value on top and add to the value on bottom.
Answer:
9 and 2
Step-by-step explanation:
...............
Answer and Step-by-step explanation:
The answer is 9 and 2.
9 times 2 will equals 18.
9 plus 2 equals 11.
#teamtrees #PAW (Plant And Water)
Convert the measurement as indicated 65 cups to quarts
16.25 quarts
Explanation:Note that:
1 cup = 0.25 quarts
Therefore:
65 cups = 65 x 0.25 quarts
65 cups = 16.25 quarts
what are the answers to 13, 14, 16, and 17? pls help it will mean a lot :)
six less than twice a number x is 38. what is the value of x
Based on the calculations, the value of number x is equal to 22.
How to determine the value of x?
In order to determine the value of x, we would translate the word problem into an algebraic expression.
For the expression, six less than twice a number x is given by:
2x - 6.
Next, we would equate it to 38:
2x - 6 = 38
2x = 38 + 6
2x = 44
x = 44/2
x = 22.
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Evaluate -1/2 x² + 3/4 x for x = 4.
1.Substitute
Substitute x = 4 into \( \sf{ - \frac{1}{2} {x}^{2} + \frac{3}{4} \times }\)\( \sf{ - \frac{ {4}^{2} }{2} + 4 \times \frac{3}{4} }\)2.Calculate
\( \sf{ - \frac{16}{2} + 4 \times \frac{3}{4} }\)Cross out the common factor\( \sf{ - 8 + 4 \times \frac{3}{4} }\)Cross out common factor\( \sf{ - 8 + 3}\)Calculate the sum or difference-5Hope it helps
Is an isosceles triangle always right?
No, an isosceles triangle is not always a right triangle.
Is an isosceles triangle always right?An isosceles triangle is a triangle that has two sides of equal length and two angles of equal measure. The two equal sides are known as the legs, and the angle opposite the base is known as the vertex angle.
A right triangle, on the other hand, is a triangle that has one right angle (an angle measuring 90 degrees). In a right triangle, the side opposite the right angle is the longest side and is called the hypotenuse.
While it is possible for an isosceles triangle to be a right triangle, it is not a requirement. In an isosceles triangle, the vertex angle can be acute (less than 90 degrees) or obtuse (greater than 90 degrees). Only if the vertex angle of an isosceles triangle measures 90 degrees, then it becomes a right isosceles triangle.
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Which of the following is equivalent to 16/3
Answer:
C
Step-by-step explanation:
6÷3=2
9÷3=3
combined that is 15/3
so the extra 1 goes back into the fraction
giving us 5 1/3
Review a state without a state income tax.
- How do these states function?
- Compare the state without an income tax to the state you live in.
- What are the key differences?
They function by balancing their budgets through a combination of these revenue streams, along with careful budgeting and expenditure management.
Comparing a state without an income tax to one with an income tax, the key differences lie in the tax burden placed on residents and businesses. In the absence of an income tax, individuals in the state without income tax enjoy the benefit of not having a portion of their businesses may find it more attractive to operate in such states due to lower tax obligations. However, these states often compensate for the lack of income tax by imposing higher sales or property taxes.
States without a state income tax, such as Texas, Florida, and Nevada, function by generating revenue from various alternative sources. Sales tax is a major contributor, with higher rates or broader coverage compared to states with an income tax.
Property taxes also play a significant role, as these states tend to rely on this form of taxation to fund local services and public education. Additionally, fees on specific services, licenses, or permits can contribute to the state's revenue stream.
Comparing such a state to one with an income tax, the key differences lie in the tax structure and the burden placed on residents and businesses. In states without an income tax, individuals benefit from not having a portion of their earnings withheld, resulting in potentially higher take-home pay. This can be appealing for professionals and high-income earners. For businesses, the absence of an income tax can make the state a more attractive location for investment and expansion.
However, the lack of an income tax in these states often means higher reliance on sales or property taxes, which can impact residents differently. Sales tax tends to be regressive, affecting lower-income individuals more significantly. Property taxes may be higher to compensate for the revenue lost from the absence of an income tax.
Additionally, the absence of an income tax can result in a greater dependence on other revenue sources, making the state's budget more susceptible to fluctuations in the economy.
Overall, states without a state income tax employ alternative revenue sources and careful budgeting to function. While they offer certain advantages, such as higher take-home pay and potential business incentives, they also impose higher sales or property taxes, potentially impacting residents differently and requiring careful management of their budgetary needs.
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Find the kinetic energy if a body is of mass 10 kg moving with a velocity of 20 m/s
Answer:
2000 J
Step-by-step explanation:
We know that
KE = ½ mv²
KE = ½ × 10 × (20)²
KE = 5 × 400
KE = 2000 J
Now we have to,
find the required kinetic energy.
The formula we use,
→ KE = 1/2 mv²
The given information is,
→ Mass (m) = 10 kg
→ Velocity (v) = 20 m/s
Let's find the kinetic energy,
→ 1/2 mv²
→ 1/2 × 10 × (20)²
→ 5 x 400
→ [2000 J]
Thus, kinetic energy is 2000 J.
You toss a coin, what is the probability of having 5 heads in a row? 1/64 O 1/8 O 1/4 O 1/32 O 1/16
Answer:
Step-by-step explanation:
The Probability of Landing a heads is (1/2)
Now, to find the probability of landing it five times in a row, it is
1/2 x 1/2 x 1/2 x 1/2 x 1/2
( 1/2 is multiplied to the number of times to get a head )
The final answer will be,
Probability of landing heads 5 times in a row = 1/32
which number is an irrational number? A 40 .B 49 C 100 D 9
Answer:
b :)
Step-by-step explanation:
Evaluate the function.
f(x) = -x2 – 3x + 15
Find f(-8)
Answer:
38 baby
Step-by-step explanation:
Answer:
\( f(-8) = -25 \)
Step-by-step explanation:
\( f(x) = -x^2 - 3x + 15 \)
\( f(-8) = -[(-8)^2] - 3(-8) + 15 \)
\( f(-8) = -(64) + 24 + 15 \)
\( f(-8) = -25 \)
in a short string of holiday lights, when at least one bulb in the string stops working then all of the lights go out. assume that each bulb works or fails independently of the other bulbs, and suppose that each bulb has a 98% chance of working throughout the holiday season. on a string of twelve bulbs, what is the probability that at least one bulb will stop working during the holiday season, making all of the lights go out on the string?
The probability that at least one bulb out of 12 will stop working during holiday season making all of lights go out on string is given by 0.2153.
Number of bulbs working throughout the holiday season = 12
Chance of each bulb working throughout the holiday season = 98%
Let A be the event that at least one bulb stops working during the holiday season, .
Making all of the lights go out, and let B be the event that all bulbs work throughout the holiday season.
Find P(A), the probability of event A.
Use the complement rule to find P(A),
P(A) = 1 - P(B)
To find P(B), we need to calculate the probability that each of the twelve bulbs works throughout the holiday season,
0.98¹² = 0.7847
So, the probability that all bulbs work throughout the holiday season is 0.7847.
This implies,
P(A) = 1 - P(B)
= 1 - 0.7847
= 0.2153
Therefore, probability that at least one bulb will stop working during holiday season, making all of the lights go out on the string is 0.2153.
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2. Supposed the prevalence of Sudden infant death syndrome (SIDS) is 0.01%. At a local Maternity hospital 3 of the 100 newborn infants died of SIDS following birth. a. What is the probability of 3 dying of SIDS in this situation? b. In this situation would you find it alarming that this many died or would this be expected. Why or why not? (write 1-3 sentences explaining
The probability of 3 dying of SIDS in this situation is approximately 0.000227. The number of SIDS cases in this hospital is significantly higher than the expected rate.
a. The probability of 3 infants dying of SIDS in this situation can be calculated using the binomial probability formula:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
Where:
P(X=k) is the probability of k successes (SIDS cases) in n trials (infants),
C(n,k) is the number of combinations of n items taken k at a time,
p is the probability of SIDS (0.0001),
n = 100 infants,
k = 3 SIDS cases.
P(3 SIDS cases in 100 infants) = C(100,3) * (0.0001)^3 * (1-0.0001)^(100-3)
After calculating, the probability is approximately 0.000227.
b. In this situation, it is alarming that many infants died of SIDS, as the probability of 3 deaths in 100 infants is very low (0.000227), much lower than the prevalence of 0.01%. This indicates that the number of SIDS cases in this hospital is significantly higher than the expected rate.
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Find the average rate of change in the simplest form
A student in eighth grade notices that the current cost of tuition, books, and fees at a 4 year college is $14,000 per year. The family reads that there is an annual increase of $550 per year. What will the the total cost of tuition, books, and fees for this student when this student attends college for four years, after graduating high school?
Answer: 70,300
Step-by-step explanation:
I had a really hard time on this answer and initially thought it was 63,700. But School can be confusing and like always I got it wrong. The corrected answer was 70,300. And I still have no idea how they got this number. Have a good day.
I need help please!!!
Answer:
-10/9
Step-by-step explanation:
Use the slope formula: s=(y2-y1)/(x2-x1)
It doesn't matter the order.
Let's say 0 is x2 and 5 is y2; 9 is x1 and -5 is y1
Plug in the equation: s=[(5)-(-5)]/[(0)-(9)]
Simplify and solve: s=[5+5]/[-9]
s = -10/9
pls help
giving 100 points
The value of the expression \(\frac{999999999\times 999999999}{1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1}\) , which involves the division of a large number is obtained by making use of a scientific calculator is; 12345678987654321
How calculators can be used to divide large numbers?Depending on the processor of the calculator, and the number of digits the calculator can handle, the exact value following the operations with very large numbers can be obtained. Graphing calculators can also be made to increase the number of digits of precession, up to 9999 digits.
The expression in the question can be presented as follows;
999999999 × 999999999 ÷ (1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1)
The value can be computed using a calculator;
999999999 × 999999999 = 999999998000000001
(1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1) = 81
999999999 × 999999999 ÷ (1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1) = 999999998000000001 ÷ 81 = 12345678987654321
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Q.4 What is the difference between price floors and price ceiling? Give example and illustrate graphically in support of your answer.
A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold
Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.
Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.
If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.
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7) Original price: ?
Discount: 25%
Sale price:
$28
Answer:
Step-by-step explanation:
let be x the price before the discount
original price= 28/(1-0.25)=28/0.75=37.33
original price=37.33
Answer:
37.3
Step-by-step explanation:
The original price = x which represents 100% of the price. So we subtract 100%-25, which is 100-25=75 or 75%(0.75)
So, $28 is 75% off the original price.
28 divided by .75 = 37.3
Then, 37.3 would be the original price.
Sebastian invested $7,100 in an account paying an interest rate of 8 1 4 \% compounded monthly. Eva invested $7,100 in an account paying an interest rate of 8 1 2 \% compounded continuously After 5 years, how much more money would Eva have in her account than Sebastian, to the nearest dollar?
Answer:
Given:
Sebastian :
Principal(invested)= $7,100
Rate of interest= 8.14% compounded monthly
Eva:
Principal(invested)= $7,100
Rate of interest= 8.12% compounded continuously
Step-by-step explanation:
After 5 years,
In Sebastian case:
Amount= Principal*\((1+R/100)^{t}\)
Amount = 7100*\((1+8.14/100)^{12*5}\)
Amount= 7100*\(1.0814^{60}\)
Amount=7100*109.4415
Amount= $777,034.43
In Eva case,
Amount= Principal*\(e^{Rt/100}\)
Amount = 7100*\(e^{0.0812*12*5\\}\)
Amount= 7100*130.5818
Amount= $927,130.92
Difference between their money=$927,130.92-777034.43
=$150,096.49
Eva has $150,096 more money than Sebastian.
Answer:
80
Step-by-step explanation:
can yall answer this i cant figure it out.
Answer:
The result can be shown in multiple forms.
Exact Form:
− 3/2
Decimal Form:
− 1.5
Mixed Number Form:
−1 1/2
Step-by-step explanation:
Answer:
\(\displaystyle -\frac{3}{2}\)
Step-by-step explanation:
\(\displaystyle \biggr(\frac{7}{4}-\frac{8}{3}\biggr)-\biggr|\frac{1}{6}-\frac{3}{4}\biggr|\\ \\=\biggr(\frac{7*3}{4*3}-\frac{8*4}{3*4}\biggr)-\biggr|\frac{1*2}{6*2}-\frac{3*3}{4*3}\biggr|\\ \\=\biggr(\frac{21}{12}-\frac{32}{12}\biggr)-\biggr|\frac{2}{12}-\frac{9}{12}\biggr|\\ \\=-\frac{11}{12}-\biggr|-\frac{7}{12}\biggr|\\\\=-\frac{11}{12}-\frac{7}{12}\\\\=-\frac{18}{12}\\ \\=-\frac{3}{2}\)
Which row of Pascal’s triangle would you use to expand (2x + 10y)15? row 10 row 12 row 15 row 25
Answer:
Row 15 is correct
Step-by-step explanation:
Pascal's triangle:
1 n = 0 , Row = 0
1 1 n = 1 , Row = 1
1 2 1 n = 2 , Row = 2
:
.........
.......
For n = 0, Row number 1
For n = 1, Row number 2
For n = 2, Row number 3
We make pascal's triangle but sum of above two number, write below.
As we can see in pascal's triangle.
Exponent represent the number of row.
If binomial has exponent n then nth row of pascal's triangle use.
For
Here power is 15
So, we have to use 15 row of pascal's triangle.
Hence, Row 15 is correct
Answer:
the second part is 16
Step-by-step explanation:
Which number sentence is true?
(b) Problem 15: Find the rate of change for this two-variable equation. y-x = 10
The rate of change for the equation y - x = 10 is 1.
To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.
We can rewrite the equation as y = x + 10 by adding x to both sides.
Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.
In other words, as x increases by 1 unit, y will increase by 1 unit as well.
As a result, 1 represents the rate of change for the equation y - x = 10.
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