With a mean of 3 inches with standard deviation of 0.03.

If the manufacturer intends to discard the bottom 2.87% and the top 3.59% of nails, in terms of their lengths, what would be the cut-off lengths for nails to be discarded?

Round your answers to
two decimal places.

Low-end: _______ inches

High-end: ______ inches

Answer:True

Step-by-step explanation:

Graph of function f(4x) is a parabolic shape having the x value = {1, 2, 3, 0, -1, -2, -3} and y value = {17, 65, 145, 1, 17, 65, 145}

In mathematics, a function is an expression that describe a relationship between an independent variable and dependent variable in a symbolic form.

we are given, f(x) = x² + 1

let y = f(x)

if we put 4x instead of x we get function of f(4x) = (4x) ²+1

                                                             y =     f(4x) = 16 x² +1

for different input value of x, we get different output value of y

such as x=1, 2, 3, -1, -2, -3 ,0

we get f(4x) = y = 17, 65, 145, 17, 65, 145, 1

if we put the x and y values on the XY coordinate system we will get a parabolic curve.

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Answer:

A.

A math error was made when computing the total shipments for day 4.

Answer:

Step-by-step explanation:

answer: 50

Okay so we need to find ABC, which is 2x, and we know the angles of a triangle all add up to 180.

To find angle C you must subtract the exterior angle from the total of the line, 180.

C = 180-145

C = 35

So now we have 3 elements, 95, 2x, and 35, and we know they all add up to 180 degrees.

95+35+2x=180

130+2x=180

50=2x

2x is the angle of ABC, so it's 50 degrees

Part A: The weekly gross pay with overtime above 40 hours is as follows:

Part B: The gross pay per pay period is as follows:

Gross pay refers to the total earnings before taxable deductions and taxes are removed.

The gross pay per week entails a total paycheck of 52 since there are approximately 52 weeks in a year.

There are 12 months in a year and 26 biweekly payments annually.

Semimonthly payments are made on two set dates in a month, which translates to 24 payments annually.

PART A: Weekly Gross Pay:

1) Hourly rate = $9.90

Total hours worked = 34

Gross pay = $336.60 ($9.90 x 34)

2) Hourly rate = $14.36

Total hours worked = 40

Gross pay = $574.40 ($14.36 x 40)

3) Hourly rate = $12.75

Total hours worked = 45

= ($12.75 x 40 + 5 x $12.75 x 1.5)

= ($510 + $95.625)

Gross pay = $605.625

4) Hourly rate = $13.40

Total hours worked = 51

= ($13.40 x 40 + 11 x $13.40 x 1.5)

= ($536 + 221.10)

Gross pay = $757.10

PART B: Gross Pay Per Pay Period:

5. Annual Salary = $26,805

Pay period = weekly

Number of paychecks = 52

Gross pay per week = $515.48 ($26,805/52)

6. Annual Salary = $49,000

Pay period = monthly

Number of paychecks = 12

Gross pay per month = $4,083.33 ($49,000/12)

7. Annual Salary = $53,278

Pay period = biweekly

Number of paychecks = 26 (52/2)

Gross pay per paycheck = $2,049.15 ($53,278/26)

8. Annual Salary = $32,450

Pay period = semimonthly

Number of paychecks = 24 (1st and 15th)

Gross pay per paycheck = $1,352.08 ($32,450/24)

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Answer:

$5.46

Step-by-step explanation:

To calculate tax, you multiply 5.20 by 1.05

You multiply by 1.05 because this represents an increase in price

This equals 5.46 dollars

Answer: 7.5 minutes

Step-by-step explanation:

The only option that represents independent events is;

D. Teacher prefers coffee; Teacher teaches social studies

Independent events are defined as those events whose occurrence are not dependent on any other event. For example, when we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail.

Now, we see the table showing drink preferences for teachers in a high school.

Now, from the table, the row that has the highest total will be an independent event while the column that has the highest total will be an independent event.

Thus, we see that the column that has the highest total is coffee while the rows that have the highest total are english and social studies.

The only option with both combination is option D which is correct.

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The simplified sum of the second and forth integers are; -1 + 5 = 4

An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803

Now, we are given the consecutive integer sequence as;

x, 1, 3, 5

Now, since the integers are consecutive, then the common difference is the same. Thus;

1 - x = 3 - 1

1 - x = 2

x = 1 - 2

x = -1

Sum of first and fourth term = -1 + 5 = 4

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Answer: Slavery

Step-by-step explanation:

Answer:

Read below:

Step-by-step explanation:

To use the distributive property to solve 40x43, you can rewrite the expression as (40)(43) and then distribute the 40 to get:

40 * 43 = 40 * (40 + 3) = 40 * 40 + 40 * 3 = 1600 + 120 = 1720

To use the distributive property to solve 70x24, you can rewrite the expression as (70)(24) and then distribute the 70 to get:

70 * 24 = 70 * (20 + 4) = 70 * 20 + 70 * 4 = 1400 + 280 = 1680

The output for x = 0, is 2.

The output for x = 0, is 2.

The output for x = 0, is 2.

The output for x = 0, is 2.

An input-output table is a table that shows the relationship between sets of numbers that always follow the same rule. Input-output tables can be very complex (with several math operations) or simple (with just one math operation).

Given the equation

output = x+2

If input x = 0

output = 0+2 = 2

If input x = 1

output = 1+2 = 3

If input x = 2

output = 2+2 = 4

if input x = 3

output = 3+2 = 5

Hence for the every value x in the table the output will be 2, 3, 4, 5 respectively.

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Answer:

To perform a dilation with a scale factor of 2, we multiply the x and y coordinates of each vertex by 2.

R(1,3) becomes R'(2,6)

S(4,3) becomes S'(8,6)

T(3,1) becomes T'(6,2)

U(2,1) becomes U'(4,2)

To perform a translation of 2 units down, we subtract 2 from the y-coordinates of each vertex.

R'(2,6) becomes E(2,4)

S'(8,6) becomes F(8,4)

T'(6,2) becomes G(6,0)

U'(4,2) becomes H(4,0)

So, the image of trapezoid RSTU after a dilation with a scale factor of 2, followed by a translation of 2 units down is trapezoid EFGH, with vertices E(2,4), F(8,4), G(6,0), and H(4,0).

Answer:

d. [tex]\csc x +\cot x[/tex]

Step-by-step explanation:

[tex]\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}=\frac{\sin x(1+\cos x)}{\sin^2 x}=\frac{1+\cos x}{\sin x}=\csc x+\cot x[/tex]

Answer:

a. The purchase price of the estate is $1,246,500 x 95% = $<<124650095.01=1182975>>1,182,975.

b. The amount of the down payment is $1,182,975 x 30% = $<<118297530.01=354452.5>>354,452.5.

c. The amount of the mortgage loan is $1,182,975 - $354,452.5 = $<<1182975-354452.5=828492.5>>828,492.5.

Step-by-step explanation:

Answer:

27.551%

Step-by-step explanation:

based on the given conditions ,formulate:

(1000x1.25-980)divide by 980

calculate the product or quotient :

1250 - 980 over 980 calculate the sum which would be 270 over 980

we gon cross out the common factor 27 over 98

rewrite the fraction as a decimal = 0.27551

multiply a number to both the numeration and denominator : 0.27551 x 100 over 100

now write as a single fraction  0.27551 x 100 / 100

calculate the product = 27.551 over 100

rewrite the fraction with denominator equals 100 to a presantage = 27.551

Answer:

4,606

Step-by-step explanation:

(327 x 14) +28  Product is the answer in multiplication

4578 + 28

4606

Answer:

What grade is this ? I can help you

Answer:

  2000/17 = 117 11/17 miles

Step-by-step explanation:

You want to know the number of miles of a 250-mile trip that are not downhill if 9/17 of the trip is downhill.

The fraction that is not downhill is the difference between the fraction representing the whole trip, and the fraction that is downhill:

  [tex]\dfrac{17}{17}-\dfrac{9}{17}=\dfrac{17-9}{17}=\dfrac{8}{17}[/tex]

That fraction of the total trip miles is ...

  (8/17) · (250 mi) = (8·250)/17 mi = 2000/17 mi = 117 11/17 mi

The number of miles not downhill was 2000/17 or 117 11/17 miles.

It needs to do that route I guess. But I don't understand the last question well.

By using integers to represent the information, Death Valley will be -282 and Mount Mckinley is 20320.

From the information, death valley california has the lowest point in the united states. its elevation is 282 feet below sea level.

Mount mckinley alaska has the highest point in the united states and it's elevation is 20,320 feet above sea level.

It should be noted that by using integers, Death Valley is the lowest point. This will have a negative sign and will be -282. Mount McKinney will be +20320

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Answer: To find the answer, I first understood that the first number is a product of two factors and the second number is the sum of those two factors.

So, I started by listing out all the factors of the first number which is 16. The factors of 16 are 1, 2, 4, 8, 16.

Then I looked for a pair of factors from the list whose product is 16 and sum is 10.

I found the pair (4, 6) which satisfies the condition.

So, I confirmed that 4 x 6 = 16 and 4 + 6 = 10.

Step-by-step explanation:

Is the ordered pair (6,4) a solution to the inequality y > -1/2 x + 7: D. No, because (6,4) is on the line.

In order to determine if this ordered pair (6, 4) is a true solution based on the given linear inequality, we would have to test the ordered pair by substituting their values into the linear inequality as follows;

For ordered pair (6, 4), we have the following:

y > -1/2x + 7

4 > -1/2 × (6) + 7

4 > -3 + 7

4 > 4 (False).

In this context, we can reasonably infer and logically conclude that the ordered pair (6, 4) is not a true solution for the given linear inequality because it is located on the line.

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Answer:

[tex]\frac{1}{10x^{3} }[/tex] or [tex]\frac{1}{\\1000x^{3} }[/tex]

Step-by-step explanation:

To make the exponent positive, you put it over 1.

Answer:

50 in

Step-by-step explanation:

(1)

[tex]area \: of \: the \: whole \: circle \: = \pi {r}^{2} [/tex]

= 22 × 5 ×5

7

= 78.57

(2)

[tex]area \: of \: the \: unshaded \: circle \: = \pi {r}^{2} [/tex]

= 22 × 3 ×3

7

= 28.28

(1) - (2) = Area of shaded circle

= 78.57 - 28.28

= 50.29

The ratio would be 5:3

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related.

5 feet to 36 inches

converting feet to inches

1 foot = 12 inches

Therefore, 5 feet = 5x12

5 feet = 60 inches

60 inches : 36 inches

Finding the lowest possible terms

5 inches : 3 inches

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Answer:

Step-by-step explanation:

Given various quadrilaterals with side lengths marked, you want specific side lengths.

Opposite sides of the parallelogram are the same length, so ...

  5x -18 = 2x +12

  3x = 30 . . . . . . . . . add 18-2x

  x = 10

  DA = 3x -6 = 3·10 -6 = 24

All of the sides of a rhombus are the same length, so ...

  3p -6 = 2p +9

  p = 15 . . . . . . . . . . . add 6-2p

  GS = 2p+9 = 2·15 +9 = 39

The perimeter is the sum of the side lengths.

  46 = (x +8) +(2x +1) +(3x -6) +(4x -7)

  46 = 10x -4

  50 = 10x

  5 = x

Then the side lengths are ...

The length of the shortest side is 9 inches.

__

Additional comment

The attachment shows a graphical solution to the third problem. The lines y1–y4 are the side lengths as a function of x. The black line finds the value of x that makes the perimeter be 46. That value is 5. The vertical line at x = 5 intersects the other lines at their side length values. The bottom of these is the shortest side length: 9 inches when x=5.

Answer: 22 tulips

Step-by-step explanation:

2 + 1 = 3

3 goes into 33 11 times, so you multiply each value by 11

2 * 11 = 22 tulips

22 tulips to 11 roses is 2:1 ratio

The number of rocks that each friend will get will be 10 rocks.

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

In this case, Frank had 42 rocks that he wanted to share with his 4 friends. If he gave each friend the same number of rocks, the rocks that each friend will get will be:

= 42 / 4

= 10.5

Each person gets 10 rocks

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