is 0.23 or 2.3% greater?

Answer:

\(\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-x^2+1\right)\)

Step-by-step explanation:

Factor of \(x^{12}-1\) is

\(\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-x^2+1\right)\)

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

15

Step-by-step explanation:

5x = 4x + 3

x = 3

BC = 5x = 5(3) = 15

Answer: 15

Answer:

1800/60=30

Step-by-step explanation:

Answer:

the first answer is correct

The measure of the side MN is 19.1.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The different trigonometric identities are expressed as:

From the information given, we have that:

Using the tangent identity:

\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)

Substitute the values

\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)

Cross multiply the values, we have:

\(\text{MN} = \sf 1.73(11)\)

\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)

Hence, the measure of the side MN is 19.1.

Learn more about trigonometric functions at:

https://brainly.com/question/15768633

Answer: the actual wheel of his bike is is 20 inchs

Step-by-step explanation:

Answer:

Step-by-step explanation:

To simplify the expression 3 x (3/4) whole to a unit fraction, we can start by multiplying the whole number 3 by the denominator of the fraction, which is 4:

3 x (3/4) = (3 x 4)/4 x (3/4) = 12/4 x 3/4

We can simplify the fraction 12/4 by dividing both the numerator and denominator by 4:

12/4 = 3

Substituting this back into the expression, we have:

3 x (3/4) = 3/1 x (3/4) = 9/4

Therefore, 3 x (3/4) whole is equal to the unit fraction 9/4.

Answer: 580

Step-by-step explanation:

A fence is usually a rectangle shape in these questions

Perimeter of a rectangle is P = 2l + 2w

P = 2(170) + 2(120) = 580

Step-by-step explanation:

think it's right :)

The total cost to laminate the table top is $128.

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides.

The first step is to determine the area of the table top.

Area of a trapezoid = 0.5  x (sum of the lengths of the parallel sides) x height

0.5 x (6 + 10) x 4 = 32 square foot

Now, multiply the area by the cost per square foot

32 x 4 = $128

To learn more about trapezoids, please check: https://brainly.com/question/25748893

#SPJ1

Answer:

x= −b+c/3a

Step-by-step explanation:

3ax+b=c

3ax+b+−b=c+−b

3ax=−b+c

3ax/3a = −b+c/3a

x= −b+c/3a

Seventy Four Lakh , Nine Thousand And Eleven=

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

For more question on  probability visit:

https://brainly.com/question/25839839

#SPJ8

The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

Learn more about inverse of equation here: https://brainly.com/question/29390335

#SPJ1

Answer:

12.5

Step-by-step explanation:

\(400km = 10hr \\ 500km = x \\ \\ 400kmx = 5000kmhr \\ x = 12.5hr\)

Answer: The answer is 12.5

Step-by-step explanation:

I did the math on my paper.

Answer:

c

Step-by-step explanation:

First, we apply the distributive property of multiplication:

Subtracting 5x from the above equation we get:

Now, subtracting 30 we get:

Finally, dividing by 2 we get:

Answer: x=35.

Using x and y as your variables, with the equations in the form Ax + By = C with A , B , C integers, A ≠ 0 , and B ≠ 0, the equations are; x - 5y = 3 and -4x - 12y = 16

A consistent and independent system of equations has exactly one solution.

The solution is given as (-2, -1).

The general equation is given as;

Ax + By = C

Substitute values for x and y to get;

-2A - B = C

Assume A = 1 and C = 3

So, we have:

-2 - B = 3

B = -5

Substitute B = -5, A = 1 and C = 3 into the general form of equation to get; x - 5y = 3

We also have;

-A - B = C

Assume A = -4 and C = 16;

4 - B = 16

B = -12

Thus, the equation is;

-4x - 12y = 16

Read more about System of Equations at; https://brainly.com/question/13729904

#SPJ1

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

Learn more about Sequence here:

https://brainly.com/question/30262438

#SPJ1

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

Slope m = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

Answer:

546EEergh

Step-by-step explanation:

455/4355

Answer:

128π ft³ ; 401.92 ft³

Step-by-step explanation:

The volume of the cylinder Given above :

Volume of cylinder, V = πr²h

r =Radius = 4 ; h = 8 ft

V = π * 4² * 8

V = 16 * 8 * π

V = 128π ft³

Using π = 3.14

V = 128 * 3.14 = 401.92 ft³

Answer:

\(\large\boxed{\tt No.}\)

Step-by-step explanation:

\(\textsf{We are asked to determine if the equation has a solution given a value.}\)

\(\textsf{Since x is given to us, we can use the \underline{Substitution Property of Equality} to evaluate}\)

\(\textsf{the equation.}\)

\(\large\underline{\textsf{What is the Substitution Property of Equality?}}\)

\(\textsf{The Substitution Property of Equality is a Property that allows us to substitute}\)

\(\textsf{a known term, or expression for an unknown variable, or some kind of placeholder.}\)

\(\textsf{After Substitution, we can prove that the expressions are still equal with this}\)

\(\textsf{property.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\tt \frac{1}{4} x + 3 = " 3 = " 4x+1\)

\(\textsf{There's likely a typo in your equation given, hence I will fix it.}\)

\(\tt \frac{1}{4} x + 3 = 4x+1\)

\(\textsf{Substitute 8 for x in both sides of the equation using our property.}\)

\(\underline{\textsf{Use the Substitution Property of Equality;}}\)

\(\tt \frac{1}{4} (8) + 3 = 4(8)+1\)

\(\underline{\textsf{Follow PEMDAS, multiply first;}}\)

\(\tt 2 + 3 = 32+1\)

\(\underline{\textsf{Evaluate;}}\)

\(\tt 5 \neq 33\)

\(\textsf{If the "typo" was the actual equation;}\)

\(\tt 5 \neq 3 \neq 33\)

\(\large\boxed{\tt No.}\)

Answer:

Step-by-step explanation:

R-2=W

R-2(+2)=W+2

R=W+2

Key concept:

x+(−x)=0

If we have a+x=b, adding the opposite of a to both side we have:

a+x+(−a)=b+(−a)⟺x=b−a

The formula is:

Work/explanation:

Rearrange the formula for R.

All we should do is add 2 to each side :

R - 2 = W

R = W + 2

Hence, this is the right answer.

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

Read more about net income here:

brainly.com/question/28390284

#SPJ1

complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

Given

Find

Whether it is a perfect sqaure or not

Explanation

Final Answer

yes , it is a perfect sqaure

The midpoint of a segment can be found using the formula as follows:

mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)

The midpoint is the middle point of a line segment.

In other words, the midpoint of a segment is the point on that line segment that divides the segment into two congruent segments.

The mid point of a segment can be represented mathematically as follows:

Hence,

mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)

learn more on midpoint here:https://brainly.com/question/17192794

#SPJ1

Answer:

1.) 5 1/4

2.)1 1/2

Step-by-step explanation:

umm.....

Answer:

1)  5 2/8

2) 1 2/6

Step-by-step explanation:

1) 2 7/8 + 2 3/8

Write these fractions as improper fractions.

23/8 + 19/8

Add the fractions

42/8

Write the answer as a mixed number.

5 2/8

2) 3 1/4 -1 3/4

Write these fractions as improper fractions.

13/4 - 7/4

Subtract the fractions

6/4

Write these fractions as improper fractions.

1 2/6