sue works 5 out of the 7 days of the week. how many possible schedules are there to work on tuesday or friday or both?

The measure of angle 6 is 38°.

What are vertically opposite angles?

Vertically opposite angles are pairs of angles formed by two intersecting lines that are opposite to each other and share the same vertex but are not adjacent angles.

When two lines intersect, they form four angles at the intersection point. The vertical opposite angles are the pairs of angles that are opposite to each other and are not adjacent angles.

We know that, if two lies are parallel and a transversal cuts the lines.

then, the angle formed are corresponding angles ad the vertically opposite angles formed will be equal.

similarly, In the give figure,

we ca see that angle 6 ad angle 38 are vertically opposites angle.

so, angle 6 = 38°

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Answer:

167

Step-by-step explanation:

By BODMAS rule,

13 + 14 x 11

= 13 + ( 14 x 11 )

= 13 + 154

= 167

Note : -

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

Here, we want to compare the two numbers, using the appropriate inequality/equality sign

Mathematically, 11 is greater than -7

Thus, the equality sign in the blank will be the greater than sign

We have this represented as;

To use logarithmic differentiation to find the derivative of y = 3√x(x −2) / x^2, we first take the natural logarithm of both sides:

ln(y) = ln(3√x(x −2) / x^2)

Then we use the logarithmic differentiation rule, which states that if y = f(x) is a function of x, then

y' / y = (ln(f(x)))'

Using this rule, we can find the derivative of ln(y) and simplify it:

ln(y) = ln(3) + (1/2)ln(x(x-2)) - 2ln(x)

ln(y)' = 0 + (1/2)(1/(x(x-2)))(2x-2) - 2*(1/x)

ln(y)' = (x-1)/(x(x-2))

Now we can find y' by multiplying both sides of the original equation by y and substituting in the expression we just found for ln(y)':

y = 3√x(x −2) / x^2

ln(y) = ln(3) + (1/2)ln(x(x-2)) - 2ln(x)

y' / y = (x-1)/(x(x-2))

y' = y*(x-1)/(x(x-2))

Substituting the original expression for y, we have:

y' = (3√x(x −2) / x^2)*((x-1)/(x(x-2)))

Therefore, the derivative of y = 3√x(x −2) / x^2 is y' = (3√x(x −2) / x^2)*((x-1)/(x(x-2))).

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Answer: 7

Step-by-step explanation:

3+-1(-1-3)=7

Statistical Process Control (SPC) is a methodology used in quality management to monitor and control processes. It involves the application of statistical techniques to measure.

Statistical Process Control (SPC) is a powerful tool used to monitor and control processes in various industries. It utilizes statistical techniques to analyze process data, identify trends, and make informed decisions to improve process performance.

The primary objective of SPC is to ensure that a process operates within its specified limits and meets the desired quality standards. SPC involves the collection.

Analysis of data over time to understand process behavior and make necessary adjustments to maintain control. By monitoring and controlling the process variation, SPC helps to reduce defects and improve overall quality.

The key components of SPC include:

1. Control Charts: Control charts are graphical tools used to plot process data over time. They provide a visual representation of process variation and help identify when a process is in or out of control.

Control charts have upper and lower control limits that define the acceptable range of variation. Any data points outside these limits indicate special causes of variation that require investigation and action.

2. Data Collection and Analysis: SPC requires the collection of accurate and representative data. Data is collected at regular intervals and analyzed using statistical techniques such as mean, range, standard deviation, and process capability analysis.

These analyses help understand process performance, identify trends, and evaluate the capability of the process to meet customer requirements.

3. Process Monitoring and Improvement: SPC enables real-time process monitoring and provides timely feedback on process performance. It helps identify and address issues before they lead to defects or non-conformances.

By detecting trends or shifts in process performance, SPC allows for proactive intervention to maintain control and prevent quality problems.

4. Continuous Improvement: SPC is a fundamental aspect of a continuous improvement culture. By regularly monitoring process data, analyzing performance, and making data-driven decisions, organizations can identify areas for improvement and implement targeted changes to enhance process efficiency and quality.

Statistical Process Control (SPC) is a systematic approach to monitor and control processes using statistical techniques. It helps organizations maintain control, reduce defects, and improve overall quality by analyzing process data, identifying sources of variation, and making data-driven decisions.

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The 5 generic steps you'll need to take in solving an equestion are as listed below;

1. You'll need to simplify each side of the equation by removing parenthesis - the right hand side and the left hand side.

2. You'll need to combine like terms.

3. You can then use addition or subtraction to separate the variable term on one side of the the equation.

4. You can now use multiplication or division to solve for the variable.

5. You can remove fractions by multiplying each side of the equation by the common denominator.

Answer: y = 5/9x + 32

Step-by-step explanation:

Answer:

listing method

Step-by-step explanation:

pls make me brainliest pls

Using factoring, quadratic formula, or any other appropriate method, we find the value of p to be approximately 0.407 or 0.049.

When events A and B are independent, the probability of both events occurring is the product of their individual probabilities, P(A ∩ B) = P(A) * P(B). In this case, P(A ∩ B) = p * 2p = 2p².

The probability of exactly one of the events occurring can be calculated as the sum of the probabilities of event A occurring and event B not occurring, or vice versa. We are given that P(Exactly one of A, B) = 0.2.

P(Exactly one of A, B) = P(A) * P(¬B) + P(¬A) * P(B)

Substituting the given probabilities, we have:

0.2 = p * (1 - 2p) + (1 - p) * 2p

Simplifying the equation:

0.2 = p - 2p² + 2p - 2p²

Combining like terms:

4p² - 3p + 0.2 = 0

Now we can solve this quadratic equation for p. Using factoring, quadratic formula, or any other appropriate method, we find the value of p to be approximately 0.407 or 0.049.


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Answer:  None of the above

The central bank of the US is the Federal Reserve.

Answer:

if the question is if the ball might be redor at least one of the balls will be red than yes I thik at least of them will be red if my answer helps at all.

Answer: She had $5400

Step-by-step explanation:

We will let x represent the total amount of money in her pocket .

So we know that 1/3 of x has to equal 1800 because 2/3 of the money is already been spent so 1/3 will of the money will be left.

1/3 * x = 1800  solve for x by divide both sides by 2/3

x=5400  

Check.

1/3 * 5400 =1800

Answer:

The answer is 2

Hope it helps!

Answer:

75.2 kg

Step-by-step explanation:

His mass now is 80 kg which is 100% of his mass since 100% is the entire amount. He wishes to reduce his mass by 6%.

100% - 6% = 94%

After reducing his mass by 6%, his mass will become 94% of his original mass, 80 kg.

We need to find 94% of 80 kg.

94% of 80 kg = 94% × 80 kg = 0.94 × 80 kg = 75.2 kg

The vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.

To find a vector parallel to the line of intersection of the planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7, we first need to find the direction vector of the line of intersection.

We can find the direction vector by taking the cross product of the normal vectors of the two planes. The normal vector of the plane 2x - 3y + 5z = 2 is <2, -3, 5>, and the normal vector of the plane 4x + y - 3z = 7 is <4, 1, -3>. Taking the cross product of these two vectors, we get:

<2, -3, 5> × <4, 1, -3> = <-16, 22, 11>

This vector <-16, 22, 11> is the direction vector of the line of intersection of the two planes.

To find a vector parallel to this line, we can simply multiply the direction vector by a scalar. For example, we can choose a scalar of 2 to get:

2<-16, 22, 11> = <-32, 44, 22>

Therefore, the vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.

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Answer:

5000

Step-by-step explanation:

in order to find how many revolutions, you need to find the circumference of the circle which is  2pi r.

thus, you will get this working out:

circum= 2 times 22/7 times 14

= 88cm

4.4 km = 440000cm

Then, 440000cm divide 88 cm =5000.

Thus, 5000 revolutions.

Answer:

see explanation

Step-by-step explanation:

using the property of exponents

• \(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

3x²\(y^{5}\) × 4x³\(y^{7}\) ( separate like parts in the product )

= 3 × 4 × x² × x³ × \(y^{5}\) × \(y^{7}\)

= 12 × \(x^{(2+3)}\) × \(y^{(5+7)}\)

= 12\(x^{5}\)\(y^{12}\)

From the given data

93% of the bar is silver :

\(\small\bold{ → 93\% \: \: of \: \: 7kg}\)

\(\small \bold{→\frac{93}{100} \times 7 }\)

\(\small \bold{→ \frac{651}{100} }\)

\(\small \bold{→ 6.51 \: kg }\)

Therefore, 6.51 Kg of Silver is there in the bar.

» A metal bar weighs 7 Kg. 93% of the bar is Silver. How many Kgs of silver is there in the bar?

— — — — — — —

Therefore, 6.51 kg of Silver is there in the bar.

_______________❦︎_______________

Answer:

a. The monthly payment of the 5-year loan would be the same as the monthly payment of the 4-year loan, since they have the same interest rate.

b. Since the 5-year loan has a longer repayment period, the total interest paid on the 5-year loan would be higher than the total interest paid on the 4-year loan. This is because interest is calculated based on the principal amount borrowed, and the longer the repayment period, the more interest will accrue.

As for the second part of the question, the length of the diagonal of a rectangle can be calculated using the Pythagorean theorem. In this case, the length of the diagonal would be:

Copy code

d = sqrt(20^2 + 15^2)

d = sqrt(400 + 225)

d = sqrt(625)

d = 25 feet

Therefore, the diagonal of the rectangular garden would be 25 feet long.

(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].

(b) The 99% confidence interval has the widest interval.

(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:

Confidence interval = sample mean ± (critical value * standard error)

The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.

Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.

Plugging in the values, we can calculate the confidence intervals:

90% confidence interval:

Lower bound = 436.5 - (1.645 * (11.9 / √20))

Upper bound = 436.5 + (1.645 * (11.9 / √20))

95% confidence interval:

Lower bound = 436.5 - (1.96 * (11.9 / √20))

Upper bound = 436.5 + (1.96 * (11.9 / √20))

99% confidence interval:

Lower bound = 436.5 - (2.576 * (11.9 / √20))

Upper bound = 436.5 + (2.576 * (11.9 / √20))

(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.

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Interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

Higher Placement The College Board's Advanced Placement Program makes a college-level course and exam in United States Government and Politics available to high school students.

By organizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues, interest groups enable citizen participation in governance.

a group of individuals united by a shared interest or objective and working to sway public policy. group leaders. As adolescents gain knowledge, they frequently form their own groups. government.

Therefore, interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

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Answer:

ray, defined

Step-by-step explanation:

Answer:

x = 34

explanation:

3x + 2x = 180 -2 - 8

5x = 170

x = 170/5

x = 34

The line integral R = ∫cy²dx + xdy along the arc of the parabola x = 4 - y², from (-5, -3) to (0, 2), evaluates to -64.

To evaluate the line integral, we parameterize the given curve C using the equation of the parabola x = 4 - y².

Let's choose the parameterization r(t) = (4 - t², t), where -3 ≤ t ≤ 2. This parameterization traces the arc of the parabola from (-5, -3) to (0, 2) as t varies from -3 to 2.

Now, we can express the line integral R as ∫cy²dx + xdy = ∫(t²)dx + (4 - t²)dy along the parameterized curve.

Computing the differentials dx and dy, we have dx = -2tdt and dy = dt.

Substituting these values into the line integral, we get R = ∫(t²)(-2tdt) + (4 - t²)dt.

Expanding the integrand and integrating term by term, we find R = ∫(-2t³ + 4t - t⁴ + 4t²)dt.

Evaluating this integral over the given limits -3 to 2, we obtain R = [-t⁴/4 - t⁵/5 + 2t² - 2t³] from -3 to 2.

Evaluating the expression at the upper and lower limits and subtracting, we get R = (-16/4 - (-81/5) + 8 - 0) - (-81/4 - (-216/5) + 18 - (-54)) = -64.

Therefore, the line integral evaluates to -64.

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The process capability index for the process is 0.1754.

The first sided specification limit will be:

= (Upper specification limit - mean)/(3 × standard deviation)

= (23.1 - 22.9)/(3 × 0.19)

= 0.2/0.57

= 0.3508

The second sided specification limit will be:

= (22.9 - 22.8)/(3 × 0.19)

= 0.1/0.57

= 0.1754

The process capability index for the process is 0.1754 wine it's the lower value.

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