Multiply 71 by 8 and then add 379

Answer:

The diameters below 0.41 inches and above 0.89 inches are considered as defective.

Step-by-step explanation:

Let X = diameters of computer parts.

The random variable X is normally distributed with mean, μ = 6.5 inches and standard deviation, σ = 0.24 inches.

The pth percentile is a data value such that at least p% of the data set is less than or equal to this data value and at least (100 - p)% of the data set are more than or equal to this data value.

Compute the 16th percentile of X as follows:

P (X < x) = 0.16

⇒ P (Z < z) = 0.16

The value of z for this probability is:

z = -0.99

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\-0.99=\frac{x-6.5}{0.24}\\\\x=0.65-(0.99\times 0.24)\\\\x=0.4124\\\\x\approx 0.41[/tex]

The value at the 16th percentile is 0.44 inches.

Compute the 84th percentile of X as follows:

P (X < x) = 0.84

⇒ P (Z < z) = 0.84

The value of z for this probability is:

z = 0.99

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\0.99=\frac{x-6.5}{0.24}\\\\x=0.65+(0.99\times 0.24)\\\\x=0.8876\\\\x\approx 0.89[/tex]

The value at the 84th percentile is 0.89 inches.

Thus, the diameters below 0.41 inches and above 0.89 inches are considered as defective.

The effective tax rate signifies the actual percentage of an individual's total income that is paid in taxes. It reflects the overall tax burden an individual faces, considering all forms of income and tax provisions. It gives a comprehensive view of the tax situation of an individual.

An individual's effective tax rate refers to the percentage of their total income that they pay in taxes. It is calculated by dividing their total tax paid by their total income counts from all sources such as wages, profits, interest, rental income, and government transfers. The effective tax rate provides an accurate picture of an individual's tax burden and gives a holistic view of one's tax situation, considering all factors and tax code complexities.

For example, in the federal income tax, a progressive tax system, people with higher incomes tend to have a higher effective tax rate. To illustrate, in 2009, top 1% of households with an average income of $1,219,700 per year in pre-tax income had an average federal tax rate of 28.9%, but their effective tax rate was 20.4%. This is because the effective tax rate considers all sources of income and provisions like the earned income tax credit, not just tax from wages.

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Final answer:

An individual's effective tax rate represents the percentage of their total income that is paid in taxes, which may be different from the marginal tax rate applied to their last dollar of income.

Explanation:

An individual's effective tax rate indicates the proportion of their total income that is paid in taxes. This rate is calculated by dividing the tax liability by the total income. It contrasts with the marginal tax rate, which is the tax rate applied to an additional dollar of taxable income.

For example, with an income of $20,000 and a tax payment of $2,581.25, the effective tax rate would be $2,581.25 divided by $20,000, equaling 12.9 percent. This rate reflects the average percentage of income paid in taxes, as opposed to the marginal tax rate, which in this case could be higher, such as 15 percent. The marginal tax rate is particularly important for understanding economic decisions, as it affects the tax paid on any additional income earned.

Answer:7.71

Step-by-step explanation:

Fusion 360

We are given

[tex]2ab + 2bc + 2ac = 350 \iff ab + bc + ac = 175[/tex]

We are also given [tex]a=b[/tex] and [tex]c=9[/tex], which allows us to rewrite the equation as

[tex]a^2 + 9a + 9a = 175 \iff a^2+18a-175=0[/tex]

(I substituted every "b" with "a" and every "c" with "9").

The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.

The length of sides a and b of a rectangular prism, given a surface area of 350 square meters and side c measuring 9 meters, is approximately 12.75 meters each.

In this question, we have a rectangular prism whose surface area is 350 square meters, with side c measuring 9 meters and sides a and b of equal lengths. The formula for the surface area of a rectangular prism is SA = 2ab + 2bc + 2ac. Since a = b, we can rewrite the equation as SA = 2a^2 + 2ac. Therefore, inserting the given measurements into the formula and solving for a we get:

So, the length of side a (or b) is approximately 12.75 meters.

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Answer:

A.Distribute 9, by multiplication, to the variable, a, and to the constant, 8.

B.Write the two multiplications, 9(a) + 9(8)

C.The expression 9(a) is written as 9a.

D.The expression 9(8) equals 72.

F.The equivalent expression is 9a + 72.

Step-by-step explanation:

or rather 9+72

Answer:

What were the three main social reform movements of the nineteenth century in United States?

abolitionist movement

mental health reform movement

women’s rights movement

Step-by-step explanation:

Answer:

The rate of interest is 12.5%

Step-by-step explanation:

Let the principal be P

We are given that Jay wants his money to double in eight years.

So, Amount = 2P

Simple interest = Amount - Principal = 2P-P = P

Time taken to double the money is 8 years

So,[tex]SI = \frac{P \times T \times R}{100}\\P=\frac{P \times 8 \times R}{100}\\100=8 \times R\\\frac{100}{8}=R\\12.5 =R[/tex]

Hence The rate of interest is 12.5%

Answer:

60.4% probability that a randomly selected U.S. adult weighs more than the healthy weight range

Step-by-step explanation:

We have these following probabilities:

1.9% probability that a randomly selected U.S. adult is underweight.

37.7% probability that a randomly selected U.S. adult has healthy weight.

35% probability that a randomly selected U.S. adult is overweight.

25.4% probability that a randomly selected U.S. adult is obese.

Based on this data, what is the probability that a randomly selected U.S. adult weighs more than the healthy weight range?

More than the healthy weight range: overweight or obese

35% + 25.4% = 60.4%

60.4% probability that a randomly selected U.S. adult weighs more than the healthy weight range

Answer:

P(hh) = 0.2209

P(ht) = 0.2491

P(th) = 0.2491

P(tt) = 0.2809

John von Neumann suggested that if both tosses results in same outcome then discard the result and start again. If each result is different then accept the first one

Step-by-step explanation:

We are given that a coin is unfair and the probabilities of getting a head and tail are

P(h) = 0.47

P(t) = 0.53

John von Neumann suggested a way to make perfectly fair​ decisions, even with a possibly biased coin.

He suggested to toss the coin twice, so the possible outcomes are

Sample space = {hh, ht, th, tt}

The probabilities of these outcomes are

P(hh) = P(h)*P(h)

P(hh) = 0.47*0.47

P(hh) = 0.2209

P(ht) = P(h)*P(t)

P(ht) = 0.47*0.53

P(ht) = 0.2491

P(th) = P(t)*P(h)

P(th) = 0.53*0.47

P(th) = 0.2491

P(tt) = P(t)*P(t)

P(tt) = 0.53*0.53

P(tt) = 0.2809

He suggested that if both tosses results in same outcome then discard the result and start again.

If each result is different then accept the first one, for example,

if you get heads on the first toss and tails on the second toss then result is heads.

if you get tails on the first toss and heads on the second toss then result is tails.

If you notice the probability of P(ht) and P(th) are same therefore, this strategy allows to make fair decision even when the coin is biased.

Answer:14In

Step-by-step explanation:

volume(v)=768π

height(h)=3

Radius=√(v ➗ πxh)

Radius=√(768π ➗ 3π)

Radius=√(256)

Radius=14 In

Final answer:

The expression representing the sum of six and the product of three and a variable 'd' is written as 6 + 3d.

Explanation:

The expression that means the sum of six and the product of three and d is written as 6 + 3d.

This expression shows that you first multiply the number three by the variable d, and then add six to the result of that multiplication.

The order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), instructs us to perform the multiplication before the addition.

Answer:

The equation is

2y + 85x + 75 = 0

Step-by-step explanation:

Given vertices A(-1,5), B(5,-2) and C(3,5).

Suppose we want to find the median from A

First, we find the midpoint of side BC

Let the midpoint be M = ((x1 + x2)/2, (y1 + y2)/2)

= ((5+3)/2, (-2-5)/2)

= (8/2, -7/2)

= (4, -7/2)

Next, we write the equation of median with A(-1,5) and midpoint M(4,-7/2)

y = mx + c

The slope m = (y2 - y1)/(x2 - x1)

= (-7/2 - 5)/(4 + 1)

= (-17/2)/5

m = -85/2

We find the y-intercept, using A(-1,5)

x = -1, y = 5, m = -85/2

y = mx + c

5 = (-85/2)(-1) + c

c = 5- 85/2

= -75/2

y = -85x/2 - 75/2

Multiply through by 2

2y = -85x - 75

2y + 85x + 75 = 0

And this is the equation

Answer:

4.7

Step-by-step explanation:

Answer:

15 dollars

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

We multiply the tip percentage by the amount billed

50% * 30

Change to decimal form

.50 * 30

15

Given Information:

Mean annual precipitation = 30.85 inches

Standard deviation of annual precipitation = 3.6 inches

Required Information:

a) P(X ≥ 30) = ?

b) P(30 < X < 31.5) = ?

Answer:

a) P(X ≥ 30) = 59.48%

b) P(30 < X < 31.5) = 16.62%

Explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

a) We want to find out the probability that a randomly selected month will have at least 30 inches of precipitation.

At least 30 inches of precipitation means equal to or greater than 30.

[tex]P(X \geq 30) = 1 - P(X \leq 30)\\\\P(X \geq 30) = 1 - P(Z \leq \frac{x - \mu}{\sigma} )\\\\P(X \geq 30) = 1 - P(Z \leq \frac{30 - 30.85}{3.6} )\\\\P(X \geq 30) = 1 - P(Z \leq \frac{-0.85}{3.6} )\\\\P(X \geq 30) = 1 - P(Z \leq -0.24)\\[/tex]

The z-score corresponding to -0.24 is 0.4052

[tex]P(X \geq 30) = 1 - 0.4052\\\\P(X \geq 30) = 0.5948\\\\P(X \geq 30) = 59.48 \%\\[/tex]

Therefore, the probability that a randomly selected month will have at least 30 inches of precipitation is 59.48%

b) We want to find out the probability that of a random sample of 32 months taken will have a mean amount of precipitation between 30 and 31.5 inches.

[tex]P(30 < X < 31.5) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(30 < X < 31.5) = P( \frac{30- 30.85}{3.6} < Z < \frac{31.5 - 30.85}{3.6} )\\\\P(30 < X < 31.5) = P( \frac{-0.85}{3.6} < Z < \frac{0.65}{3.6} )\\\\P(30 < X < 31.5) = P( -0.24 < Z < 0.18 )\\[/tex]

The z-score corresponding to -0.24 is 0.4052 and 0.18 is 0.5714

[tex]P(30 < X < 31.5) = P( Z < 0.18 ) - P( Z < -0.24 ) \\\\P(30 < X < 31.5) = 0.5714 - 0.4052 \\\\P(30 < X < 31.5) = 0.1662\\\\P(30 < X < 31.5) = 16.62 \%[/tex]

Therefore, the probability that of a random sample of 32 months taken will have a mean amount of precipitation between 30 and 31.5 inches is 16.62%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.2, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.24 then go for 0.04 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

The number of laps per minute is equal to 1.25 laps.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, time is 4 minutes and the number of laps is 5.

We can calculate as Number of laps per minute = Total number of laps/Number of minutes

= 5/4

= 1.25 laps

Hence, the number of laps per minute is 1.25 laps.

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Answer:

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

(0.3583 , 0.4579)

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 517

Given data Suppose a sample of 517 suspected criminals is drawn. Of these people, 211 were captured.

'x' =211

The sample proportion

                                   [tex]p^{-} = \frac{x}{n} = \frac{211}{517} =0.4081[/tex]

                                  [tex]q^{-} = 1-p^{-} = 1- 0.4081 = 0.5919[/tex]

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

[tex](p^{-} - Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} )}{n} } , p^{-} + Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} }{n} } )[/tex]

[tex](0.4081 - 2.326 \sqrt{\frac{0.4081 (0.5919 )}{517} } , 0.4081+ 2.326\sqrt{\frac{0.4081(0.5919 }{517} } )[/tex]

(0.4081-0.0498 , 0.4081 +0.0498)

(0.3583 , 0.4579)

Conclusion:-

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

(0.3583 , 0.4579)

Answer:

[tex]t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=48-1=47[/tex]  

And the p value would be:

[tex]p_v =P(t_{(47)}<-2.771)=0.0040[/tex]    

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

Step-by-step explanation:

Information given

[tex]\bar X=1.8[/tex] represent the sample mean for the growth

[tex]s=0.5[/tex] represent the sample standard deviation    

[tex]n=48[/tex] sample size    

[tex]\mu_o =2[/tex] represent the value that we want to compare

[tex]\alpha=0.01[/tex] represent the significance level

t would represent the statistic    

[tex]p_v[/tex] represent the p value

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 2cm per week, the system of hypothesis are :    

Null hypothesis:[tex]\mu \geq 2[/tex]    

Alternative hypothesis:[tex]\mu < 2[/tex]    

Since we don't know the population deviation the statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)    

Replacing the info given we got:

[tex]t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=48-1=47[/tex]  

And the p value would be:

[tex]p_v =P(t_{(47)}<-2.771)=0.0040[/tex]    

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

Without sufficient context or additional information, it is not possible to accurately determine the measure of the missing angle in the question.

The question asks to find the measure of a missing angle but does not provide sufficient context or information such as a diagram or type of geometric figure involved, making it impossible to determine the correct answer without additional information. The provided references include various angle measures and different contexts (e.g., clocks, projectile motion, trigonometry), none of which pertain directly to the question at hand. Due to the lack of relevant details, the measure of the missing angle cannot be calculated or estimated. Mathematics often requires precise information, and without it, we cannot solve for unknown angles or other values.

Answer:

[tex]t=\frac{42-40}{\frac{8}{\sqrt{120}}}=2.739[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z>2.739)=0.0616[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true mean for the assembly time is significantly different from 40 minutes.

Step-by-step explanation:

Information provided

[tex]\bar X=42[/tex] represent the sample mean for the assembly time

[tex]s=8[/tex] represent the sample deviation

[tex]n=120[/tex] sample size  

[tex]\mu_o =40[/tex] represent the value to verify

[tex]\alpha=0.05[/tex] represent the significance level

t would represent the statistic

[tex]p_v[/tex] represent the p value for the test

System of hypothesis

We want to conduct a hypothesis in order to see if the true mean is equal to 40 minutes or not, the system of hypothesis would be:  

Null hypothesis:[tex]\mu =40[/tex]  

Alternative hypothesis:[tex]\mu \neq 40[/tex]  

The statistic for this case is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]t=\frac{42-40}{\frac{8}{\sqrt{120}}}=2.739[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z>2.739)=0.0616[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true mean for the assembly time is significantly different from 40 minutes.

The hypothesis testing does not provide sufficient evidence to contradict the supervisor's belief that the job should take 40 minutes on average.

The subject matter refers to the concept of hypothesis testing in statistics, where in context, we are checking whether the actual average assembly time of a kitchen cabinet contradicts the believed assembly time. Hypothesis testing works on a null hypothesis and an alternative hypothesis. In this case, the null hypothesis (H0) can be that the average assembly time equals 40 minutes. The alternative hypothesis (H1) would be that the average assembly time does not equal 40 minutes.

At a 0.05 significance level, we calculate the test statistic (z-score) which represents how many standard deviations a data-point (the sample mean) is from the mean (the supervisor's claimed mean). The z-score is calculated as:

(Sample Mean - Claimed Mean) / (Standard Deviation/ √Number of Observations)

In this case, this becomes: (42-40)/(8/√120) = 1.732. The corresponding p-value for this z-score is 0.083.

Since the p-value is greater than the significance level of 0.05, we cannot reject the null hypothesis. Hence, there isn't overwhelming evidence to contradict the supervisor's belief that the job should take 40 minutes on average.

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Answer:

65 degrees

Step-by-step explanation:

I assume this shape is a triangle. The sum of the three angles in a triangle always equals 180 degrees. So, you add the angles that we have the measurements of and subtract it from 180 to get your answer of 65 degrees. hope this helps:)

Here's the matching of the valuation types with the factors used in their calculation:

1. Cash flows: The actual cash generated or received by a business.

2. Profit: The amount of money a company makes after subtracting its expenses from its revenue.

3. NOPAT (Net Operating Profit After Tax): It is a company's operating profit after deducting taxes.

4. Earnings: The amount of money a company makes after subtracting its expenses from its revenue. It's often used interchangeably with profit.

5. Total cost of financing: The total cost associated with raising capital, including interest payments and other financing costs.

6. Weighted average: A calculated average where each value is weighted according to its significance.

7. Cost of capital: The cost of obtaining funds, which is typically the weighted average cost of debt and equity.

8. EVA (Economic Value Added): A measure of a company's financial performance based on the residual wealth calculated by deducting its cost of capital from its operating profit.

These factors are used in various combinations to perform different types of valuations, such as discounted cash flow analysis, earning-based valuation models, and economic value-added analysis.

The question is:

Match the type of valuation with the factors used in its calculation.

Types of valuation:

Factors used:

Answer:

C = 36 pi or approximately 113.04

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

C = 2*pi*18

C = 36 pi

We can approximate pi by 3.14

C = 36*3.14

C =113.04

Answer:

95.

Step-by-step explanation:

Step one: the first step here is to find the mean or average of the data for the six(6) weeks of total entrees. That is, we will have;

Average = (444 + 447 + 423 + 437 + 444 + 429)/ 6 = 2,624 / 6 = 437.3.

Average = 437.3.

Step two: the next step here is to determine the popularity index for the roast beef roast beef will be forecasted and that will be;

popularity index = 96 / 444.

popularity index = 21.6%.

Step three: the quantity of roast beef that should be forecasted for next Friday will be;

Popularity index × Average.

0.216 × 437.3 = 95.

Hence, the quantity of roast beef that should be forecasted for next Friday will be 95.

To forecast the number of roast beef portions, we first determine the proportion of roast beef sold the last time this menu was offered, then average the total meal counts from the past five Fridays, and apply the proportion to this average to get the forecasted demand.

To forecast the number of portions of roast beef for next Friday, we can apply a demand ratio approach, which uses historical sales data to predict future demand.

Since we have the last time sales data for the entrées, and the counts of total meals sold for the past five Fridays, the first step is to calculate the proportion of each entrée sold relative to the total sales from the last time this menu was offered.

The number sold for each entrée the last time was: BBQ ribs - 76, seafood platter - 118, roast beef - 96, and filet mignon - 154, summing up to a total of 444 entrées.

The proportion for roast beef is calculated by dividing the number of roast beef meals sold by the total number of entrées sold: 96/444. This gives us the portion of meals that were roast beef.

To forecast the demand for roast beef for next Friday, we need to apply this proportion to an estimate of the total number of meals to be served. We can get this estimate by averaging the total meal counts from the past five Fridays: (447 + 423 + 437 + 444 + 429)/5 which equals 436 meals on average (rounded to the nearest whole number).

Multiplying this average by the roast beef proportion (96/444), we get the forecast for roast beef portions: 436 * (96/444) ≈ 93 portions.

Answer:

56

Step-by-step explanation:

The range of a data set is the difference between the largest and the smallest values in that data set. In this case, the largest value in the data set is 119, and the smallest is 63. 119-63=56, which is the range. Hope this helps!

The equation of the line that passes through the point (8,-8) and has a slope of -1 is y = -x.

The equation of the line that passes through the point (8,-8) and has a slope of -1 can be found using the point-slope form: y - y1 = m(x - x1).

Using the given point (8,-8) and slope -1, the equation becomes y - (-8) = -1(x - 8).

Simplifying the equation, we have y + 8 = -x + 8. Rearranging the terms gives us the final equation: y = -x.

Answer:

(B) Subtract 2/5 from both sides.  

Step-by-step explanation:

What is the best first step in solving Negative 4 x + two-fifths greater-than StartFraction 5 over 10 EndFraction?

(A) Add Two-fifths to both sides.

(B) Subtract Two-fifths from both sides.  <<<<<-------Correct Answer

(C) Multiply both sides by Negative 4 and reverse the inequality symbol.

(D) Divide both sides by 10 and reverse the inequality symbol.

The solution is Option B.

Subtract Two-fifths from both sides and the inequality equation is x < -1/40

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( -4x ) + 2/5 > 5/10

On simplifying the equation , we get

-4x + 2/5 > 1/2

Subtracting 2/5 on both sides of the equation , we get

-4x > ( 1/2 ) - ( 2/5 )

-4x > 1/10

On further simplification , we get

4x < - ( 1/10 )

Divide by 4 on both sides of the equation , we get

x < - ( 1/40 )

Hence , the inequality is x < - ( 1/40 )

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Answer:

She baked 288 cookies

Step-by-step explanation:

24 X 12 equals 288

Answer:

288 cookies

Step-by-step explanation:

Answer:

24 cartons

Step-by-step explanation:

8c=7

7/8=0.875

21/0.875=24