Simplify -3(2x - x + 5) and then identify the leading coefficient.
A. -3
B. 3
C. -6
D. 6

Answer: 0.9

Step-by-step explanation:

Therefore, the manager must take a sample of at least 33 days to estimate the average number of sales per day with a 98% level of confidence.

To determine the number of days of samples required, we can use the formula for the margin of error in estimating the population mean:

Margin of Error = (Z * Standard Deviation) / sqrt(n)

In this case, the manager wants the number of sales per day to be within plus or minus 9 sales, so the margin of error is 9. The standard deviation is given as 49.

To achieve a 98% level of confidence, we need to find the corresponding Z-score. The Z-score for a 98% confidence level is approximately 2.33.

Using the formula and rearranging for n, we have:

n = ((Z * Standard Deviation) / Margin of Error)²

Substituting the values:

n = ((2.33 * 49) / 9)²

n ≈ 32.19

Since we can't have a fraction of a day, we round up to the nearest whole number.

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\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \tt \: 2 { x }^{ 4 } + { x }^{ 3 } -29 { x }^{ 2 } -34x+24\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \tt2 { x }^{ 4 } + { x }^{ 3 } -29 { x }^{ 2 } -34x+24\)

By Rational Root Theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term 24 and q divides the leading coefficient 2. One such root is 4. Factor the polynomial by dividing it by x-4.

\( \tt\left(x-4\right)\left(2x^{3}+9x^{2}+7x-6\right) \)

Consider 2x³+9x²+7x-6. By Rational Root Theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -6 and q divides the leading coefficient 2. One such root is -3. Factor the polynomial by dividing it by x+3.

\( \tt \: \left(x+3\right)\left(2x^{2}+3x-2\right) \)

Consider 2x²+3x-2. Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx-2. To find a and b, set up a system to be solved.

\( \tt \: a+b=3 \\ \tt \: ab=2\left(-2\right)=-4 \)

As ab is negative, a and b have the opposite signs. As a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product -4.

\( \tt-1,4 \\ \tt-2,2 \)

Calculate the sum for each pair.

\( \tt-1+4=3 \\ \tt-2+2=0 \)

The solution is the pair that gives sum 3.

\( \tt \: a=-1 \: \\ \tt b=4 \)

Rewrite \(\tt2x^{2}+3x-2\) as \(\tt\left(2x^{2}-x\right)+\left(4x-2\right)\).

\( \tt\left(2x^{2}-x\right)+\left(4x-2\right) \)

Exclude x in the first group and 2 in the second group.

\( \tt \: x\left(2x-1\right)+2\left(2x-1\right) \)

Factor out common term 2x-1 by using distributive property.

\( \tt\left(2x-1\right)\left(x+2\right) \)

Rewrite the complete factored expression.

\( \underline{ \tt \: Factors \rightarrow} \boxed{\boxed{ \bf\left(x-4\right)\left(2x-1\right)\left(x+2\right)\left(x+3\right) }}\)

Answer:

4.71

Step-by-step explanation:

Area of shaded sector formula: r2(data)(pi)/360

Substitute the info into the formula

\(3^{2}\) (60)(pi)/360

9(60)=540

540/360(pi)=4.71

Hope this helps! :)

The required area of the shaded sector is 296.73 cm², which is closest to option D: 297 cm².

The area of a sector is the fractional part of the area of a full circle that is enclosed by the central angle of the sector. To find the area of a sector, we can use the formula:

Area of sector = (θ/360) x πr^2

Here,

To find the area of the shaded sector, we need to first find the area of the whole circle and then multiply it by the fraction of the circle that is shaded.

The area of a circle with a radius of 18 cm is given by A = πr², where r is the radius. So, the area of the whole circle is:

A = πr² = π(18 cm)²

           = 324π cm²

To find the fraction of the circle that is shaded, we need to find the central angle of the sector. The central angle of the sector is given as 105°. The fraction of the circle that is shaded is equal to the central angle of the sector divided by the total central angle of the circle (which is 360°):

Fraction of circle shaded = Central angle of sector / Total central angle of a circle is,

= 105° / 360°

= 7/24

Therefore, the area of the shaded sector is:

Area of shaded sector = Fraction of circle shaded x Area of the whole circle is,

= (7/24) x (324π cm²)

≈ 296.73 cm²

So, the approximate area of the shaded sector is 296.73 cm², which is closest to option D: 297 cm².

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Complete question is shown in figure.

The probability that the 78% of all the dialysis patients survive for at least five years will exceed 80%, rounded to 5 decimal places is 0.3192.

The proportion of dialysis patients surviving for at least 5 years = 78% = 0.78

Assuming that a simple random sample of 100 dialysis patients is selected, the sample size is n = 100.

Let p be the proportion of dialysis patients in the sample surviving for at least 5 years.

Then, the sample mean is given by:

μp = E(p) = p = 0.78

So, the mean proportion of dialysis patients surviving for at least 5 years is equal to 0.78.

The standard error of the sample proportion is given by:

σp=√p(1−p)/n

σp=√0.78(1−0.78)/100

σp=0.04278

The required probability is to find P(p > 0.80):

P(p > 0.80) = P(Z > (0.80 - 0.78)/0.04278)

P(p > 0.80) = P(Z > 0.467) = 1 - P(Z < 0.467) = 1 - 0.6808 = 0.3192 (rounded to 5 decimal places)

Therefore, the probability that the proportion surviving for at least five years will exceed 80% in a simple random sample of 100 new dialysis patients is 0.3192.

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Answer:

9a*72

Step-by-step explanation:

We can use the distributive property to help us out. We "give out" the nine to both numbers to get 9*a+9*8=9a*72

Answer:

The answer is: 1 2 3 4 and 6

Step-by-step explanation:

I did the assignment dont select "the equivalent expression is 9a + 8"

Answer:

Step-by-step explanation:

-1

Answer:

i think it is....

1

0

-1

-2

-3

sorry if im wrong mark brainliest if righ

Answer:

a.

Step-by-step explanation:

A proportional relationship is going to be a straight line that passes through the origin. The only graph that fits that criteria is graph a.

Answer:

a and c

Step-by-step explanation:

both of them go up linear-ly

We have:tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(7/2)

To prove the equation tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) without using a calculator, we can utilize the trigonometric properties and identities to simplify the expression.

Let's start by using the addition formula for the tangent function:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) * tan(B))

We can rewrite the given expression as:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2)

Using the addition formula, we can combine the first two terms:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((1/11 + 5/6) / (1 - (1/11)*(5/6)))

Simplifying further:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((11/66 + 55/66) / (1 - 5/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(66/66 / (61/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(1)

Using the same approach, we can combine the remaining terms:

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((1/3 + 1/2) / (1 - (1/3)*(1/2)))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((5/6) / (3/2))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(5/9)

Now, we have:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(1) + tan^(-1)(5/9)

Using the addition formula again:

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((1 + 5/9) / (1 - (1)*(5/9)))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((14/9) / (4/9))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(14/4)

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(7/2)

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We were given a function with the following expression:

And we need to calculate the value of this function for a pair of inputs. In this case a = 4 and b = 5. So we have:

The sampling method that is most likely to be appropriate for calculating confidence intervals is simple random sampling.

This method ensures that every member of the population has an equal chance of being selected for the sample. This reduces the risk of bias and ensures that the sample is representative of the population. Stratified sampling is also a useful method for calculating confidence intervals, especially when the population has subgroups that need to be represented in the sample. However, other sampling methods like convenience sampling or quota sampling are not appropriate for calculating confidence intervals as they can introduce bias into the sample and do not guarantee a representative sample. Therefore, it is important to use an appropriate sampling method when calculating confidence intervals to ensure that the results accurately reflect the population.

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The standard deviation's numerical value is always positive.

Therefore, the correct option is b) negative

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Answer:

1/7^3 (One over seven thirds)

Step-by-step explanation:

Answer:

sheesh this is big

Step-by-step explanation:

aight for the conver to meters

1)2

2)7

3)6.5

4)4

5)0.40

convert to litres

sorry my class just ended ill answer the rest in like 5 minutes

Answer:

the answer is a and d on edgen 2021

Step-by-step explanation:

The answer of the given question based on the inequality equation the answer is given below,

An equation is mathematical statement that asserts equality of two expressions. It typically includes of variables, constants, and mathematical operations like addition, subtraction, multiplication, and division

The situation that can be represented by 11+ 6.5p ≤ 89 is:

a) Napoleon is the buying shirts online for $11 each. The cost to mail all the shirts is $6.50. He wants to spend at most $89. What is p,

To solve for p, we can follow these steps:

11 + 6.5p ≤ 89 (subtract 11 from both sides)

6.5p ≤ 78 (divide both sides by 6.5)

p ≤ 12

Therefore, Napoleon can buy at most 12 shirts if he wants to spend at most $89.

b) None of the given situations can be represented by the inequality 11 + 6.5p ≤ 89 when p represents the number of shirts Napoleon can buy. This is because the inequality implies that the total cost of buying p shirts at $11 each and mailing them for $6.50 is no more than $89, which is not consistent with the given information about the cost of the shirts and mailing.

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The area of the parallelogram LMNO is equal to 18 square units.

Since Parallelograms are quadrilaterals formed by two pairs of parallel sides, the area of a parallelogram (A), in square units, is the following formula:

A = b · h

Where, b - Length of the base and h - Length of the height.

Now, to determine the area of the parallelogram. First, the lengths for the base and the height of the parallelogram:

b = 6, h = 3

A = 6 · 3

A = 18

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The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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a. Calculation errors resolved through double-checking and verification process.

b. Different-sized eigenspaces due to repeated eigenvalues or computational errors.

a. The discrepancy in eigenvectors between you and your classmate could be attributed to calculation errors or misinterpretation of the problem.

Mistakes in performing matrix operations or solving characteristic equations can lead to different results.

However, when both of you obtain the same solution upon reevaluation, it suggests that the initial differences were due to errors rather than fundamental disagreements.

To resolve the discrepancy, you can suggest comparing the steps of the calculations with each other, checking for mistakes, and verifying the correctness of the eigenvector solutions obtained.

b. If your classmate computed a different-sized eigenspace for matrix M compared to your calculation, it could be due to a few factors.

One possibility is that the matrix M has repeated eigenvalues, leading to a larger eigenspace with multiple linearly independent eigenvectors. Another reason could be computational errors made during the process of finding eigenvectors.

It is important to note that eigenvectors are only determined up to scalar multiples, so the specific scaling of eigenvectors might differ.

Additionally, if your classmate used a different method or approach to compute eigenvectors, it can also result in differences in the size or composition of the eigenspace.

To understand the discrepancy, it would be helpful to compare the methodologies and calculations used by your classmate and review any errors or alternative techniques employed.

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En route at FL290, the altimeter is set correctly, but not reset to the local altimeter setting of 30. 57" Hg during descent. If the field elevation is 650 feet and the altimeter is functioning properly, the approximate indication upon landing is 715 feet's.

Flight levels are used to provide safe vertical separation between aircraft despite natural variations in local atmospheric pressure. Historically, altitude was measured with a barometric altimeter, which is essentially a calibrated barometer. The altimeter measures ambient air pressure which, according to the barometric formula, decreases as altitude increases. The corresponding height is then calculated and displayed. If the altimeter calibrations of different aircraft are inconsistent, two aircraft may be flying at the same altitude even though their altimeters indicate they are at different altitudes.

Flight altitude solves this problem by defining altitude in terms of standard atmospheric pressure at sea level. All aircraft operating at flight altitude are calibrated to this setting, regardless of the actual pressure

To display true altitude, the pilot must calibrate the altimeter to the local atmospheric pressure at sea level to account for natural variations in atmospheric pressure over time and across a region.

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Answer:

Step-by-step explanation:

option c is correct

product of two numbers can be written as 4x

Answer:

17.7 cm^2

Step-by-step explanation:

The formula for finding the hypotenuse using the pythagorean theorem is:

\(a^{2}+b^{2}=c^{2}\)

or, it can also be \(c=\sqrt{a^2+b^2}\). But I will be using the first formula.

We first plug in the "legs" to the equation:

\(a^{2} =17^{2} \\b^{2}=5^2\)

\(17^2+5^2=c^2\\17^2+5^2=314\)

Now, you find the square root of 314.

\(\sqrt{314}=17.72^2\)

And finally, just round to the nearest tenths place!

\(17.7^2\)

To list all of the angles that satisfy the condition "measures less than m ∠ 8" using the Exterior Angle Inequality Theorem, we can follow these steps:

1. Start by identifying the given angle, ∠8.

2. According to the Exterior Angle Inequality Theorem, any exterior angle of a triangle is greater than either of its corresponding remote interior angles.

3. In this case, if we are looking for angles that measure less than ∠8, we need to find the remote interior angles that are smaller.

4. Let's assume that the given angle ∠8 is part of a triangle. To find the remote interior angles, subtract the measure of ∠8 from 180 degrees, as the sum of the interior angles of a triangle is always 180 degrees.

5. After subtracting the measure of ∠8 from 180 degrees, you will obtain two angles. These two angles will be the remote interior angles of ∠8.

6. Any angle that measures less than both of these remote interior angles will satisfy the condition "measures less than m ∠ 8".

Therefore, to list all of the angles that satisfy the stated condition, you need to find the remote interior angles of ∠8 and identify any angles that measure less than both of these remote interior angles.

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Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

Answer:

7

Step-by-step explanation:

√50 is close to √49

49 is a perfect square, 50 is close to 49.

√49 = 7

√50 ≈ 7.071068

Answer:

7

Step-by-step explanation:

\(\sqrt{50} =7.07\)

Hope this helps  

Answer:

Step-by-step explanation:

Distributive property of equality, here we are performing opposite operation, which is factoring:

The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify