joseph accepted a new job at a company with a contract guaranteeing annual raises. Joseph will get a raise of $5000 every year and had a starting salary of $70000. Write an equation for S, in terms of N, representing Josephs salary after working n years for the company.

Answer:

a)0.099834

b) 0

Step-by-step explanation:

To solve for this question we would be using , z.score formula.

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16.

a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams.

Standard Deviation = √variance

= √0.16 = 0.4

Standard deviation = 0.4

Mean = 21.37

x = 20.857

z = (x-μ)/σ

z = 20.857 - 21.37/0.4

z = -1.2825

P-value from Z-Table:

P(x<20.857) = 0.099834

b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams.

z score formula used = (x-μ)/σ/√n

x = 20.857

Standard deviation = 0.4

Mean = 21.37

n = 100

z = 20.857 - 21.37/0.4/√100

= 20.857 - 21.37/ 0.4/10

= 20.857 - 21.37/ 0.04

= -12.825

P-value from Z-Table:

P(x<20.857) = 0

c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.

Answer:

See below.

Step-by-step explanation:

Gertrude is correct. Any angle can have one line of symmetry going directly down the center of the angle, intercepting at the angles point. Emmet is incorrect because not only polygons can have lines of symmetry. A circle, square, rhombus, etc. can have lines of symmetry.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(3, 7) and F(6, 5)

The distance between them is

[tex] |EF| = \sqrt{( {3 - 6})^{2} + ({7 - 5})^{2} } \\ = \sqrt{ ({ - 3})^{2} + {2}^{2} } \\ = \sqrt{9 + 4} \\ = \sqrt{13} \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{13} \: \: \: \: units[/tex]

Hope this helps you

You Need to Find out how much Pecans each pie Will need

Answer:

  x + y = 14

Step-by-step explanation:

The question asks for the final answer to be an equation in standard form. The standard form of the equation for a line is ...

  ax +by = c

where a, b, c are integers with no common factors, and 'a' is positive.

__

When working with parallel and perpendicular lines, standard form is an easy form to work with. The coefficients (a and b) of parallel lines will be the same. All that is different between parallel lines is the value of 'c'.

Given this fact, it is convenient to start by putting the given equation into standard form. For that, we want the x-term on the same side of the equal sign as the y-term.

Adding x to both sides of the given equation puts it in standard form:

  x +y = x +(-x) +3

  x + y = 3 . . . . . simplified

__

Now that we know our equation will be of the form ...

  x + y = (some constant)

we need to find the constant. We can do that by using the given point values for x and y.

For the given point (x, y) = (10, 4), the constant for the parallel line will be ...

  x + y = 10 + 4 = 14

  x + y = 14 . . . equation of parallel line through (10, 4)

Answer:

i think it is 119

Answer:

B. 4.62 x 10^5 is scientific notation of 462000

Answer:

width= 20

length= 44

Step-by-step explanation:

we can say the width is x and the length is  2x+4 and there are 2 widths and two lengths. so 2x+4+2x+4+x+x=128, 6x+8 = 128 which means x=20 s0 the width is 20 and the length is 44

The length of the pickleball is 44 feet while the width is 20 feet.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Pickleball is a shape of a rectangle.

Let's say the length of the pickleball is L and the width is W

Given that,

The length of a standard pickleball court is 4 feet more than twice the width.

So,

L = 2W + 4

Perimeter 2(L + W) = 128

By substitution,

2(2W + 4 + W) = 128

3W + 4 = 64

W = 20

And L = 2(20) + 4 = 44

Hence "The length of the pickleball is 44 feet while the width is 20 feet".

For more about rectangles,

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Answer:

Step-by-step explanation:

The formula for the area of a circle is A=πr²

r=6cm in this case

Answer:

A plane and a line can intersect in a point—- false

Answer:

2x+2

Explanation:

Answer:

10 gallons

Step-by-step explanation:

4 quarts is one gallon

so

40/4 is 10

Answer:

10 pages

Step-by-step explanation:

1 and 1/3 pages multiplies by 7.5 brings us to the answer of ten pages

20 minutes goes into 2 and 1/2 hours 7.5 times

10 pages i did this on edge

2020 hope this helps

your welcome =)

Answer:

1.104798 miles

Answer:

4 and 2 are the correct answers in that order

Answer:

C. 12x + 40

Step-by-step explanation:

Got 100% on edge.

Answer:

c

Step-by-step explanation:

did the quiz 2021

Answer:

(3, 0)

Step-by-step explanation:

The 1st number in an ordered pair is the x-value for the x-axls.

The 2nd number in an ordered pair is the y-value for the y-axis.

We see that the y-value would be 0 looking at the y-axis.

We also see that our x-value would be 3 looking at the x-axis.

Therefore, our coordinates are (3, 0).

Answer: 85

Step-by-step explanation:

Kid.

Answer:

85%

Step-by-step explanation:

425 is 85% of 500

Answer:

The correct answer I believe is A.

A.) “Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate.”

Step-by-step explanation:

I took the test on edge :)

Answer:

A

Step-by-step explanation:Lol

Answer:

4x^2(x+6)

4x^3 is split into 4 and 3 x's

24x^2 is split into 4 and 6 and 2 x's

Cancel out what is the same so 4 and 2 x's and put it out the bracket : 4x^2(

Then put what is left over inside the bracket:

4x^2(x+6)

After factorization of the equation, the net result is 4x²(x + 6).

An integer is factorized using the factorization equation. Factorization is the method of splitting a single object into two or smaller entities, or factors, whose sum equals the original estimate.

As per the provided data in the question,

4x³ consists of 4 and 3 x's

24x² consists of 4 and 6 and 2 x's.

Remove the bracket and remove anything identical, such as 4 and 2 x's: 4x²

Then put what is left over inside the bracket:

4x²(x + 6)

To know more about Factorization:

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Answer:

here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer: 7/2x + 2

Step-by-step explanation:

Answer:

true :)

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer: A,B,E

Step-by-step explanation:

The statement is "The conclusion is: it is a trapezoid." the correct option is D.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

We are given that;

The statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”

Now,

The following statements are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid":

It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”

The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.

The conclusion is: it is a trapezoid.

Therefore, by quadrilaterals the answer will be "The conclusion is: it is a trapezoid."

Learn more about quadrilaterals here :

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Answer:

64

Step-by-step explanation:

64 is both a perfect square and a perfect cube.

8*8=64

4*4*4=64

Answer:

hello!

Step-by-step explanation:

lets solve this,

64.

8x8= 64.

4x4x4= 64.