Employed Graduates: According to the administration at a particular college, 55% of graduates are typically employed full time after graduation. To assess the impact of the current job market, the administration will take a survey of 619 recent graduates. The administration finds that 52% of the surveyed recent graduates were employed full time. If the population proportion of all recent graduates employed is the same as the stated proportion typically employed, how likely is it that the administration would have obtained a sample proportion as low as or lower than it obtained from its survey

Answers

Answer 1

Answer:

The likelihood is    [tex]P(p <  \^ p) = 0.066807[/tex]

Step-by-step explanation:

From the question we are told that  

   The population proportion is p =0.55

    The sample size is  n  =  619  

   The sample proportion is  [tex]\^ p =  0.52[/tex]

Generally the mean of the sampling distribution is  [tex]\mu_{x} =  p = 0.55[/tex]

The standard deviation is  [tex]\sigma =  \sqrt{\frac{p(1- p )}{n} }[/tex]

=>    [tex]\sigma =  \sqrt{\frac{0.55(1- 0.55 )}{619} }[/tex]

=>     [tex]\sigma =  0.02[/tex]

Generally the likelihood that  the administration have obtained a sample proportion as low as or lower than it obtained from its survey is mathematically represented as

[tex]P(p <  \^ p) =  P(\frac{p- \mu}{\sigma }  < \frac{ 0.52- 0.55}{0.02 }   )[/tex]

Generally [tex]\frac{p- \mu}{\sigma }  =  Z(The \  standardized \  value  \  of  \  p)[/tex]

=>   [tex]P(p <  \^ p) =  P(Z <-1.5  )[/tex]

From the z-table the probability of (Z <-1.5  ) is  

       [tex]P(Z <-1.5  )  = 0.066807[/tex]

So

      [tex]P(p <  \^ p) = 0.066807[/tex]

 


Related Questions

Given that a=4,b=2 and c=-1, find the value of a-b+c

Answers

Answer:

1

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

a - b + c

a = 4

b = 2

c = -1

Step 2: Solve

Substitute:                         4 - 2 - 1Subtract:                            2 - 1Subtract:                            1

your friend claims that because you can find the distance from a point to a line, you should be able to find the distance between any two lines. Is your friend correct? Explain your reasoning.​

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, you can find the distance between two lines using the formula for the distance to a line.

In general, the notion of distance between two lines only make sense when the lines are parallel.

The usual formula for the distance between a point (x, y) and the line ...

  ax +by +c = 0

is ...

  d = |ax +by +c|/√(a^2 +b^2)

Two lines that are parallel will differ only in their values of 'c'. That is, if the two lines are ...

ax +by +c1 = 0ax +by +c2 = 0

we can arrive at the formula by considering a point (x, y) such that it satisfies the equation for line 2: ax +by +c2 = 0. The distance of that point from line 1 will be ...

  d = |ax +by +c1|/√(a^2 +b^2)

Since we can add or subtract 0 from anything without changing its value, we choose to subtract 0 from the numerator:

  d = |(ax +by +c1) -(ax +by +c2)|/√(a^2 +b^2)

Simplifying gives ...

  d = |c1 -c2|/√(a^2 +b^2)

Which symbol does a formula start with? = % + ^

Answers

Answer:=================================================

Step-by-step explanation:

the first one

Answer:

========================================================================================================================================

Step-by-step explanation:

it's the equal sign

Suppose a​ carpenter's ruler was marked in​ thirty-seconds. What would be the fraction and its decimal equivalent for the mark on the ruler between 29/32 and 30/32​?

Answers

Answer:

the fraction and its decimal equivalent for the mark on the ruler

= 59/64 = 0.921875

Step-by-step explanation:

Given that;

A CARPENTER 's ruler is marked in thirty  seconds

mark on the ruler between 29/32 and 30/32​ is the average of the values

we know that average is the summation of all terms divided by the number of appearance of terms

so

= (29/32 + 30/32​) / 2

= ((29 + 30) / 32) / 2

= (59 / 32) / 2

= 59 / 64

= 0.921875

therefore the fraction and its decimal equivalent for the mark on the ruler = 59/64 = 0.921875

A system of two linear equations is consistent and dependent. What is true about the graph of the equations?
A.
The lines are the same.
B.
The lines are parallel, but have different intercepts.
C.
The lines intersect.
D.
The lines are perpendicular.


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

The best answer is " The lines are the same " ⇒ A

Step-by-step explanation:

A system of two linear equations can have:

One solution ⇒ 2 intersected lines at a pointAn infinite number of solutions ⇒ same lineNo solution ⇒ 2 parallel lines

If a system has at least one solution, it is called consistent

If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a pointIf a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same line

If a system has no solution, then it is called inconsistent. they represented by two parallel lines

Let us use these facts above to solve our question

∵ A system of two linear equations is consistent and dependent

∴ The system has an infinite number of solutions

∴ The system represented graphically by the same line

The best answer is " The lines are the same "

can yall help me out please.​

Answers

Answer:

which one equals 12? option C

Step-by-step explanation:

Whats the circumference of a circle object that's 2 meters ?

Answers

I think the answer is 12.57

I don't understand how to explain the answer will you help pls I will give you 50 pts if you help me!

Answers

What’s the question?

Answer: Whats the question? I dont see

Step-by-step explanation:

Company Bloses $1.575 for every employee who quits before 90 days. What is the
total amount the company will lose if 2 employees quit before 30 days, 1 employee
quits on Day 41, and 1 employee quits on Day 100?

Answers

Answer:

43

Step-by-step explanation:

State the x and Y intercepts of the equation y=2/3x - 1/3

Answers

Answer:

x intercept is (1/2, 0).

y intercept = (0, -1/3)

Step-by-step explanation:

2/3x - 1/3 = 0

2/3x = 1/3

x = 1/3 * 3/2

x = 1/2.

y =  2/3(0) - 1/3 = -1/3.

Solve for j I will give brainlest anwser
(h-4) / j = k

Answers

Answer:

j=h-4/k    this is the answer if you are solving for j

Step-by-step explanation:

Micah found the least common multiple of 8 and 12. His work is shown below.

Multiples of 8: 8, 12, 16, 20, 24, 28, . . .
Multiples of 12: 12, 24, 36, 48, 60, . . .

The least common multiple is 12.

What is Micah’s error?

Answers

Answer:when he was doing the multipleis of 8 he put 20 when there is no 20

Step-by-step explanation:

He forgot the 20 when he was doing the 8

In an office building, 39 offices are currently being rented. This represents 30% of the total units. How many offices are there in the building?
There are __ offices in the building

Answers

Answer:

130 offices are in the building

Step-by-step explanation:

first 39/x = 30/100

secondly, you cross multiply 39 x 100 and 30 x x

100 x 39= 3900

3900/30 = 130

Answer:

ANS. = 130

30% or 30/100=39offices

use cross multiplication

100/30 x 39/1 (note 30/100 is inversed to 100/30) math. law

10/3 x 39/1 (using divisor 10)

10/1 x 13/1 (using divisor 3)

10 x 13 = 130

Ans = 130 offices

Ans.Checked

30% of 130 offices

30/100 x 130/1

3/10 x 130/1 (10 as divisor)

3/1 x 13/1 (10 as divisor)

3 x 13 = 39

39 offices

Q.E.D

PLS HELP QUICKLY WILL GIVE BRAINLIEST

Answers

Answer:

the first one

Step-by-step explanation: it is your answer because when you solve it i gt that answer i calculated it in a calculator and then showed to the teahcre and said that it was crrect please mark me as brainlist

Main Menu
Solve the equation
Unit 2
- 8c+7= -25
Section 3.2
Section 3.3
Section 9.3
Section 9.5
Section 9.6

Answers

Answer:

c = 4

Step-by-step explanation:

Solve for"c" in the following equation:

- 8 c + 7 = - 25

Subtract 7 from both sides:

- 8 c = - 25 - 7

combine like terms

- 8 c = -32

divide both sides by "-8" to isolate c on the left

c = - 32 / (-8)

c = 4

The solution to the system -2x+5y=-15 and 5x+2y=-6 is what

Answers

Step-by-step explanation:

−2x+5y=−15 and 5x+2y=−6

Rewrite equations:

−2x+5y=−15;5x+2y=−6

Step: Solve−2x+5y=−15for x:

−2x+5y=−15

−2x+5y+−5y=−15+−5y(Add -5y to both sides)

−2x=−5y−15

−2x−2=−5y−15−2(Divide both sides by -2)

x=52y+152

Step: Substitute52y+152forxin5x+2y=−6:

5x+2y=−6

5(52y+152)+2y=−6

292y+752=−6(Simplify both sides of the equation)

292y+752+−752=−6+−752(Add (-75)/2 to both sides)

292y=−872

292y292=−872292(Divide both sides by 29/2)

y=−3

Step: Substitute−3foryinx=52y+152:

x=52y+152

x=52(−3)+152

x=0(Simplify both sides of the equation)

Answer:

x=0 and y=−3

Every day you collect 8 pennies and keep them in a jar. The first day you have 8, the second day you have 16, etc. How many pennies do you have on the 113th day?​

Answers

Answer:

904

Step-by-step explanation:

8 x 113 = 904

I think it is 904
Hope this helps!!!!!

(30 POINTS NEED HELP FAST)
A line has a slope of 2 and goes through the point (4,−3). What is the equation of this line in Standard Form?

−2x+y=−5

2x+y=−5

−2x+y=5

−2x+y=−11

Answers

Answer: −2x+y=−11

(4,-3) = −2x+y=−11.

Answer: −2x+y=−11.

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. Assume that the population standard deviation is 2.2 gallons. The mean water usage per family was found to be 15.8 gallons per day for a sample of 669 families. Construct the 90% confidence interval for the mean usage of water. Round your answers to one decimal place.

Answers

Answer:

The 90% confidence interval is   [tex]15.66< \mu < 15.94 [/tex]

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  [tex]\sigma = 2.2[/tex]

  The  sample mean is  [tex]\= x = 15.8 \ gallon[/tex]

   The sample size is  n  =  669

   

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.645  *  \frac{ 2.2}{\sqrt{669} }[/tex]

=>  [tex]E = 0.1399[/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]15.8  - 0.1399 <\mu<  15.8  + 0.1399 [/tex]

=>    [tex]15.66< \mu < 15.94 [/tex]

Find two consecutive integers whose product is 12 more than the square of the smaller
number.

Answers

Answer: The product of two consecutive even numbers is 12 more than the square of the smaller number. The product of the numbers is 6 and 8 is 48. Square of the smaller number (here 6) is 36. so, 12 + 36 = 48.

hope this helps:)

Step-by-step explanation:

Which answer is it? I dont get it

Answers

Answer:

10% of the answer should be 6

Step-by-step explanation:

Larson's Deli orders brisket delivered every month, Last month the order was for 38 pounds and
cost $304, including delivery charges, which are always the same for any size order. The delivery
company charges $38 for delivery. How much will this month's order for 50 pounds cost, including
delivery charges?
A
$350
B.
$388
С
$400
D
$438

Answers

Answer: The answer is 388$

Step-by-step explanation:

First we need to know our domain and range. our domain is POUNDS and range is TOTAL COST of the delivery AND briskit. Next, we need to find how much the briskit cost by itself. The brisket is 38 pounds.  So to do this, we use need to subtract; y - x = briskit cost. It would look like this if you plug in the units:

304 - 38=266

Now we are going to find how much EACH POUND COSTS. To do this, all we have to do is divide the briskit cost and how much the briskit weighs:

266/38=7

Now that we know how much the briskit cost and how much each briskit weighs, we are going to use the formula y=mx+b so that we can plug in 50 pounds for our x. It would look like this if you plug in the units:

y= 7x+ 38

y= 7(50) + 38= 388$

*Don't forget the dollar sign :) *

Which number is equal to 10^3

Answers

Answer: is 0.001

10^-3 = (1)/(10^3) move the negative exponent to the denominator (1)/(1000) simplify 10^3 in the denominator (1)/(1000) = 0.001

Step-by-step explanation:

Hope you have a great night

Answer: 0.001

Step-by-step explanation:

4(1-x)+2x=-3(x+1) solve for X

Answers

Answer:

x=-7

Step-by-step explanation:

4(1-x)+2x=-3(x+1)

4-4x+2x=-3x-3

4-2x=-3x-3

-2x=-3x-7

x=-7

PLEASE HELP ME!

An angle is 1/3 the measure of its complement. What is the measure of the angle, the complement and the supplement?

Answers

Answer:

Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg

Step-by-step explanation:

22.5 is 1/3 of 67.5

so compliment is 67.5.

Supplement is just adding another angle so I chose 7.

I did 22.5 x 7 = 157.5

Another example would be:

Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)

Hope this helps :)

3 over 5 =nothing over 20

Answers

ion even know yet

gyfujkl;kjbhvgfcdxsrtuiokl;, nbvghjkjhbgyu

I need to know how to write a equation number sentence for my time traveled from 2020 to 2000

Answers

Answer:

explain further or send a picture of what you mean and then I can help you

Let V be the volume of the pyramid of height 11 whose base is a square of side length 6. Find a formula for the area A of the horizontal cross section at a height y.

Answers

Answer:

Base area = 36

Volume of the pyramid = 132

Step-by-step explanation:

Volume of a pyramid = Base Area × Height/3

Base area = Length × Length (since base of the pyramid is a square)

Given the side length of the square = 6

Base area = 6×6

Base area = 36

Given height of pyramid =11

Volume of the pyramid = 36×11/3

Volume of the pyramid = 12×11

Volume of the pyramid = 132

1,24,816,3264,12825,651210?
what is the next number​

Answers

Answer:

3768068

Step-by-step explanation:

idk how i just googled a pattern analyzer

The next number in the sequence is 2420484

Given: The sequence of numbers 1, 24, 816, 3264, 12825, 651210

To find: The next number in the sequence

First we note that the number of digits in each term of the sequence increases by one and is equal to the place of the term in the sequence. So, the first term has 1 digit, the second term has 2 digits, the third term has 3 digits and so on.

The next term in the sequence should be the seventh term of the sequence and should have 7 digits.

Now, the geometric sequence starting from 1 and having a factor of 2 is given by,

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096,...

Now, we note that the terms of the given sequence are obtained by concatenating the digits of consecutive terms of the above sequence until the required number of digits are reached.

So, the first term, which has a limit of 1 digit, becomes 1

The second term, which has a limit of 2 digits, becomes the concatenation of 2 and 4, that is, 24

The third term, which has a limit of 3 digits, becomes the concatenation of 8 and 16, that is, 816

The fourth term, which has a limit of 4 digits, becomes the concatenation of 32 and 64, that is, 3264

The fifth term, which has a limit of 5 digits, becomes the concatenation of 128 and 256. However, since the fifth term has a limit of 5 digits. So, the term becomes 12825 with the 6 being carried over to the next term.

The sixth term, which has a limit of 6 digits, becomes the concatenation of 6 (carried over from the previous term), 512 and 1024. However, since this term has a limit of 6 digits. So, the term becomes 651210 with the 24 being carried over to the next term.

So, the next term (seventh term) should be the concatenation of 24 (carried over from the previous term), 2048 and 4096. However, this term should have a limit of 7 digits. So, the term should be 2420484 with 096 being carried over to the next term.

So, the next number should be 2420484.

Learn more about patterns of numbers here:

https://brainly.com/question/14060365

582 x 23 ≈ __________ x __________ = 12,000
can someone please help me with this math problem

Answers

Answer:

600 x 20 = 12000

Step-by-step explanation:

582 rounds to 600, and 23 rounds to 20.

The equation said the answer was equal to 12,000 and 600 multiplied by 20 equals 12,000.

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