A quality expert can test 18 units in 32 minutes. If there are 400 units to be tested, about how long will it take to test them?

The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.

A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.

To create a whisker plot, follow these steps:

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It will take 15.03 years for Bentley's money to triple.

For Bentley:

We have

Principal (P) = $670

Interest rate (r) = 6 7/8% = 0.06875 (compounded quarterly)

Time (t) = unknown

Amount after t years (A) = [tex]P(1 + r/4)^{4t}[/tex]

For Camden:

We have

Principal (P) = $670

Interest rate (r) = 7 3/8% = 0.07375 (compounded annually)

Time (t) = unknown

Amount after t years (A) = [tex]P(1 + r)^t[/tex]

We have to find t such that 3P_Bentley = Camden.

[tex]2010 = 2010(1 + r/4)^{4t} / (1 + r)^t[/tex]

Simplifying, we get:

[tex](1 + r/4)^{4t} / (1 + r)^t = 1/3[/tex]

Taking natural logarithm:

4t ln(1 + r/4) - t ln(1 + r) = ln(1/3)

4 ln(1 + r/4) - ln(1 + r) = ln(1/3) / t

t = (4 ln(3.88356) - 4 ln(16)) / ln(3)

Solving for t, we get:

t = 15.034752564

t = 15.03 years.

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Answer:

A

Step-by-step explanation:

The statements that are true are ;

1. tan(tetha) = -√3

2. the measure of the reference angle is 60°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The value of each angle depends on the quadrant it falls on.

First quadrant = 0-90°

second quadrant = 91° -180°

third quadrant = 181-270°

fourth quadrant = 271° - 360°

pi is measurement of angle in radians which is equivalent to 180°

therefore;

2π/3 = 2 × 180/3 = 360/3

= 120°

120 falls on the second quadrant,

tan60 = √3

tan 120 = -√3

the reference angle is 60° i.e

180-120 = 60°

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Answer:

i think the bag contains $3.56

Step-by-step explanation:

Since there are 3 white horses in a total of 15 horses, the ratio of white horses, to the total number of horses are 1 : 5 So for 20 total number of horses, the number of white horses should be 4. The ratio of white horses to the total number of horses is  4 : 20 which is 1: 5

Therefore, 4 of the next 20 horses that come to board should you expect to be white horses

To solve for x in terms of y in the equation 23x + 15y = 2, we can start by isolating the term with x on one side of the equation. We can do this by subtracting 15y from both sides of the equation to get 23x + 15y - 15y = 2 - 15y, which simplifies to 23x = 2 - 15y.

Next, we can solve for x by dividing both sides of the equation by 23 to get 23x/23 = (2 - 15y)/23, which simplifies to x = (2 - 15y)/23.

Therefore, the solution for x in terms of y is x = (2 - 15y)/23.

Answer:

X       H(x)=2x+3

-4       -5

0        3

1         5

2        7

3        9

Answer: To determine the correct answer, we need to calculate the t-test statistic using the given information.

The formula for the t-test statistic for a one-sample t-test is:

t = (x - μ) / (s / sqrt(n))

where x is the sample mean, μ is the hypothesized population mean (which is not given in this question), s is the sample standard deviation, and n is the sample size.

Here, x = 63.2 minutes, s = 7.7 minutes, and n = 24 cases. We are not given a hypothesized population mean, so we cannot calculate the exact t-test statistic. However, we can use the sample mean as an estimate of the population mean for the purposes of this question.

Plugging in the values, we get:

t = (63.2 - 60) / (7.7 / sqrt(24))

t = 2.04

Therefore, the correct answer is (a) t = 2.04.

She takes 69.5% as gross pay at take home,

Hence option (c) is correct.

Given that,

The amount of earning = $69500

From the given table total deduction = 812.85

Since she pay deductions in every two weeks

Therefore,

The gross earning per year = 69500 - 812.85

                                              = $ 48388

There are 365 days in a year

So earing per day = 69500/365 = 4190.411

So gross earing per day =  48388 /365 = 132.569

SO the gross percentage = (132.5/190.5)x100

                                          = 69.5 %

Hence the required percentage is 69.5%

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Answer:

False

Step-by-step explanation:

you have to save at least 20 percent

The appropriate statistic for testing the null hypothesis is given as  D (-2.20/0.07)

Coefficient for slope variable (Exercise time) = -2.20

Standard error of coefficient = 0.07

Therefore, the test statistic value to verify whether or not there is an apparent slope on a population regression line can be estimated as follows.

Test statistic = Coefficient for slope variable/Standard error of coefficient = -2.20/0.07

Therefore its correct answer is D (-2.20/0.07)

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The equation that models the given situation is: f(t) = 21e^(-0.000361)t

We can model this situation with an exponential decay function.

f(t) = Pe^(rt)

Where:

f(t) = amount of isotope

P = starting amount

r = growth rate

t = time

Let's assume that there is 1 mg of our isotope. Thus,in 1920 years, we will have 1/2 mg. Thus:

(1/2) = (1)e^(1920r)

Take the natural log of both sides to bring the exponent down and to cancel out the e

ln(1/2) = ln(e^(r(1920))

ln(1/2) = r(1920)

ln(1/2)/1920 = r

r = -0000361

Thus, we have:

f(t) = Pe^(-0.000361)t

Plug in 21 for P to get:

f(t) = 21e^(-0.000361)t

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8.69 is the length of the right angle.

Let's call the length you are trying to find x.

Using trigonometry, we know that:

cos(75) = x/9

Solving for x:

x = 9sin(75)

The sine function (sin) is a mathematical function commonly used in trigonometry. It relates the ratio of the length of the side opposite an angle in a right triangle to the length of the hypotenuse.

Using a calculator to find the cosine of 75 degrees:

x ≈ 8.69

Therefore, the length you are trying to find is approximately 8.69.

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The probability that Rosie does her homework is: 27/44

Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.

Thus, we can solve this probability as:

(6/11 * 1/2) + ((1 - (6/11) * 3/4)

= (3/11) + (5/11 * 3/4)

= (3/11) + 15/44

= 27/44

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The integral for this problem has the result given as follows:

[tex]\int_2^5 -8f(x) dx = 168[/tex]

The integral over the largest region for this problem is given as follows:

[tex]\int_2^9 f(x) dx = -14[/tex]

The integral can be divided into two smaller regions, as follows:

[tex]\int_2^9 f(x) dx = \int_2^5 f(x) dx + \int_5^9 f(x) dx[/tex]

Hence the integral from x = 5 to x = 9 is given as follows:

[tex]-14 = \int_2^5 f(x) dx + 7[/tex]

[tex]\int_2^5 f(x) dx = -21[/tex]

Multiplying -21 by -8, the result of the integral is given as follows:

[tex]\int_2^5 -8f(x) dx = 168[/tex]

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The expression that is equivalent to (4.3x + 4)(−1.8x) is -7.74x² -7.2x (optionC)

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value.

For example, 2a+6 is equivalent to 2(a+3) and will surely have thesame value when a value is substituted for a.

Similar (4.3x + 4)(−1.8x) can be simplified by multiplying -1.8x with both 4.3x and 4

= -7.74x²-7.2x

therefore the equivalent of (4.3x + 4)(−1.8x) is -7.74x²-7.2x.

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Thus, Cost of making 1  solid aluminium ball is found as  $211.95.

Something spherical is similar to a sphere in three dimensions in that it is round, or somewhat round. Even though they are never exactly round, oranges and apples are both spherical. Since an asteroid is frequently spheroidal—nearly round but lumpy—it has an approximately spherical form.

radius of solid aluminium balls r = 7.5 in.

Cost of of aluminium = $0.12 per cu. in.

Volume of sphere = 4/3 * π * r³

Volume of sphere = 4/3 * 3.14 * 7.5³

Volume of sphere = 1766.25 cu. in.

Cost of making 1  solid aluminium ball = 0.12 * 1766.25

Cost of making 1  solid aluminium ball = $211.95.

Thus, Cost of making 1  solid aluminium ball is found as  $211.95.

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Answer:

Step-by-step explanation:

To solve this expression, we need to first combine the integer part of -2 and -1, which gives us -3. Then, we need to combine the fractional parts of -1 and 3/7.

To do this, we find a common denominator, which is 7, and convert -1 to an equivalent fraction with denominator 7 by multiplying both the numerator and denominator by 7, which gives us -7/7.

Now we can add -7/7 and 3/7 to get -4/7.

Therefore, -2 - 1 3/7 = -3 - 4/7, which can also be written as -3 4/7 or -23/7 in improper fraction form

Answer:

2,090. because Sarah has long distances and wanted to go home

Answer:

well 10^4 is 10000, and 4x10^2 is 1600 and if we divide 10000 by 1600 we can find out how many times greater 10000 is than 1600, and the anwser is 6.25

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Trust me

Answer:

84

Step-by-step explanation:

There are 9 pieces of luggage.

We can select the first piece 9 different ways, the second piece 8 different ways, since there are only 8 pieces left.  The third piece can be selected 7 different ways.

9*8*7

504

But order doesn't matter since we are taking 3 pieces.

Divide by (3*2*1)

504/6 = 84

There are 84 different combinations of luggage

The calculated value of the surface area of the cylinder is 138π square inches

From the question, we have the following parameters that can be used in our computation:

Height, h = 5 1/2 inches

Diameter, d = 12 inches

Using the above as a guide, we have the following:

SA = 2πr(r + h)

Where

Radius, r = d/2

r = 12/2

r = 6

Substitute the known values in the above equation, so, we have the following representation

SA = 2 * π * 6(6 + 5 1/2)

Evaluate

SA = 138π

Hence, the surface area of the cylinder is 138π square inches

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Answer:

5 (100y -601.39)

3028

Step-by-step explanation:

Answer:

35%

(I replaced the 1st digit by a and the second digit by b)

False. The effect of the tax on the quantity sold would not have been larger if the tax had been levied on producers.

What is Algebraic expression ?

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It may contain one or more terms, with each term separated by a plus or minus sign. Algebraic expressions are used in algebra to represent mathematical relationships and formulas.

The tax incidence (the division of the burden of a tax between buyers and sellers) does not depend on which side of the market the tax is levied on, but rather on the relative elasticities of supply and demand. In this case, we don't have information about the elasticities of supply and demand, so we cannot determine the tax incidence. However, we can infer that the tax on consumers did reduce the quantity sold (from 30 million liters to 25 million liters), so it's unlikely that a tax on producers would have had a larger effect.

Therefore, False. The effect of the tax on the quantity sold would not have been larger if the tax had been levied on producers.

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If  landscaper worked 8-1/2 hours on Monday, 3-1/3 hours on Tuesday and 6-1/4 hours on Wednesday then  total of 18.08 hours worked.

To find the total number of hours worked, we need to add up the hours worked on each day.

On Monday, the landscaper worked for 8-1/2 hours, which is the same as 8.5 hours.

On Tuesday, the landscaper worked for 3-1/3 hours, which is the same as 3.33 hours

On Wednesday, the landscaper worked for 6-1/4 hours, which is the same as 6.25 hours.

To find the total hours worked, we add the hours worked on each day:

Total hours worked = 8.5 + 3.33 + 6.25

Total hours worked = 18.08

Therefore, the landscaper worked a total of 18.08 hours.

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The solution is,  that the answer to your question would be that the subject(s) of the sentence is/are the following one/s: Tablet, pens. That is, the correct option would be B.

In this sentence, the PP indicating the location of the tablet of paper and the pens appears in initial position in the sentence.

The sentence sounds odd and is not grammatically correct because in these cases an existential there is introduced.

Take a,

a) In the desk drawer, there are a tablet of paper and some pens

b) *In the desk drawer, are a tablet of paper and some pens

The NP "a tablet of paper and some pens" would function as the subject complement and the existential there acts as grammatical subject filler(a).

Hence, The solution is,  that the answer to your question would be that the subject(s) of the sentence is/are the following one/s: Tablet, pens. That is, the correct option would be B.

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