27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 47 college students are randomly selected, find the probability that

a. Exactly 13 of them major in STEM.
b. At most 12 of them major in STEM.
c. At least 9 of them major in STEM.
d. Between 8 and 15 (including 8 and 15) of them major in STEM.

Answers

Answer 1

Answer:

0.12995

0.47508

0.0841

0.738

Step-by-step explanation:

Given that:

Percentage of STEM (p) = 27% = 0.27

Sample size (n) = 47

Using Normal approximation :

Mean (m) = n*p = 47 * 0.27 = 12.69

Standard deviation (s) = √(n*p*q)

q = 1 - p = 1 - 0.27 = 0.73

Standard deviation (s) = √(47*0.27*0.73) = 3.04

a. Exactly 13 of them major in STEM.

P(12.5 < x < 13.5)

USing the z formula :

(x - m) / s

(12.5 - 12.69) / 3.04 < x (13.5 - 12.69) / 3.04

-0.0625 < z < 0.2664

Using the z probability calculator:

P(Z < - 0.0625) = 0.47508

P(Z < 0.2664) = 0.60503

0.60503 - 0.47508

= 0.12995

b. At most 12 of them major in STEM.

P(X ≤ 12.5)

Zscore = (x - m) / s

Zscore = (12.5 - 12.69) / 3.04

Zscore = −0.0625

P(Z ≤ - 0.0625) = 0.47508

c. At least 9 of them major in STEM.

P(X ≥ 8.5)

Zscore = (x - m) / s

Zscore = (8.5 - 12.69) / 3.04

Zscore = −1.378

P(Z ≤ - 1.378) = 0.0841

d. Between 8 and 15 (including 8 and 15) of them major in STEM.

(8.5 - 12.69) / 3.04 < x (15.5 - 12.69) / 3.04

-1.378 ≤ z ≤ 0.924

Using the z probability calculator:

P(Z ≤ 0.924) = 0.82226

P(Z ≤ - 1.378) = 0.084102

0.82226 - 0.084102

= 0.738


Related Questions

1. Two students conducted similar experiments. The results of their experiments are
very different. What is the best step for the students to take next?
A. Change the experiment that is not correct.
B. Determine that both students are in correct.
C. Assume that both students' results are reliable,
D. Replicate the experiment to see whose results are more reliable.

Answers

Answer: D. Replicate the experiment to see whose results are more reliable.

Step-by-step explanation:

The experiments are similar, then we should expect to see similar results.

Now, we know that they get different results, let's analyze the options:

A) With the given information we can not conclude which is the incorrect experiment, then this is discarded.

B) We can not really determine that both students are in correct only knowing the experiment and the results, so this is also discarded.

C) You can not assume things.

D) This is the correct option, an experiment must be repeatable. This means that, with the same conditions, the result must be always the same.

Then we can replicate both experiments and see if the results are the same as before to determine if the results are reliable.

calculate 25.13 -(4.6²-3x5)​

Answers

18.97 is the answer i believe

I NEED HELP ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

1/6

Step-by-step explanation:

If you divide the fractions to decimals 1/6 equals .16 which is closest to 0

Answer:

to acuratly measure the value of each fraction to determine which fraction is closest to 0 we need to get a common denom:

1/6---->2/12

             11/12

5/6---->10/12

                10/12

Now that we hahve a common denom we just need to find the smallest numerator value of these fractions.

2/12 or 1/6 is closest to 0 since it's the lowest value

1/6

Step-by-s tep explanation:

help pleaseeeeeeeeeeeeeeeeeeee

Answers

I think it’s (-1,-6) for the first one. And the second one might be (3,-3). I’m so sorry if these are wrong. I haven’t done this in a few years

What does 8EE4 represent?

Answers

It is a representation of a number

The seventh grade students are having an end-of-year party in the school cafeteria. There are 754 students attending the party. Each table seats 6 students. How many tables are needed to seat all of the students? Fill in the blanks to complete the sentences
Determine the number of tables by dividing_______ by_______. If there is a remainder, the answer will need to be rounded_______. There ______a remainder, so________ tables are needed.

Answers

Answer:

Determine the number of tables by dividing 754 by 6. If there is a remainder, the answer will need to be rounded tenths or hundredths . There is a remainder, so 125.6 tables are needed.

Step-by-step explanation:

According to the table, what is the initial value of the data and how can this information be translated to
an ordered pair?

Answers

Answer:

Step-by-step explanation:

ay to verify a field type:

Right-click the label of the field and select Configure dictionary.

In this example, the context menu has been opened for the Name field for a record in the Record Producer [sc_cat_item_producer] table.Context menu for field

The context menu from clicking on the label of the Name field, with the Configure Dictionary option  the Dictionary Entry record that opens, confirm that the Type field is Translated Text or Translated HTML.

In this example, you see that the Name field is of the type Translated Text.

Dictionary entry for field

Dictionary entry for the Name field, with the Type highlighted

Click back to the form.

Use the language picker to switch to the desired language.

In the relevant field, replace the English text with the text of the target language.

Click Submit.

Result

The platform creates a new record in the Translated Text table for the active language. When a user selects this language, the field displays the translated content for this language. When a user selects English or a language without an associated Translated Text record, the field displays English content.

Answer:

Has anyone gotten the answers?

Step-by-step explanation:

Ive been stuck for days

0.7 is 10 times as great as what number

Answers

Answer:

0.07

Step-by-step explanation:

Answer: 0.07

Explanation: 0.07 x 10= 0.7

The price of shoes is $52.00. If you order them directly from the company on the internet, you can save money and the price is only $42.64. What is the percent change

Answers

Answer:18%

Step-by-step explanation:

50.00-42.64=9.36

9.36/52=.18

Answer:

18%

Step-by-step explanation:

$52.00-$42.64= $9.36

[tex]\frac{9.36}{52.00}[/tex] x100

=0.18 x 100

=18%

I NEEDDDD IT NOWWWW PLEASEEE Determine the absolute value of -13 by using a number line. Then, explain your process when finding the absolute value.​

Answers

Answer: the absolute value of -13 is 13. Absolute value is the distance between zero and a number on a number line. So if the number is -13, the distance between zero and -13 in a number line is 13.

Step-by-step explanation:

An electrician needs to buy 6 1/4 feet of electrical wire. There are 1 1/4 feet of wire on each spool. How many spools of wire should the electrician buy?​

Answers

Answer:

5

Step-by-step explanation:

1 1/4 multiplied by 4 is 5 add another 1 1/4 is 6 1/4

Write rate as a untit rate for240 miles in 6 hrs

Answers

Answer:

40 mph or 40 miles per hour

Step-by-step explanation:

If there is 240 miles in 6 hours, so you can divide the 240 by 6 to get the unit rate of miles per hour.

240 divided by 6 is 40

Answer: 240 miles in 6 hours as a unit rate would be 240 over 6. This is because with unit rates to find how many miles in one hour you would divide 240 by 6. (This would give you 40.)

Write a integer for each situation. Explain the meaning of zero in each situation.

1. 3 miles below sea level

2. Earning $45

Answers

"3 miles below sea level" may be written as -3. The negative indicates you are below sea level. Going above sea level means the value would be positive.

"earning 45 dollars" can be written as +45 or simply 45. If you lost 45 dollars, then it would be -45. If you are in debt 45 dollars, then it would be -45.

Laney pays $0.99 for each song she downloads from the internet. In total, She paid $24.75 for songs from the internet. How many songs does Laney Download

Answers

25 song because 24.75 divided by 0.99 is 25 which means she downloads 25 songs

Answer:

25

Step-by-step explanation:

Divide the total cost ($24.75) by the price per song ($0.99) to get the amount of songs bought.

What decimal place value is .09 in?? Please

Answers

Answer:

hundresths is correct

Answer:

Step-by-step explanation:

.09 the 9 is hundredth place the 0 is tenth place

The average profit/loss of a company (in thousands of dollars) was documented for 30 months. The 5th month showed a loss of $3000, however the 25th month
showed a profit of $5000. Assuming the profitloss is linear, write the equation of the line, in slope-intercept form, that represents the profit/loss for each month x. Use
this result to predict the profit/loss after 60 months
Hint: Use the ordered pairs (5. - 3) and (25,5).
2
The equation of the line in slope-intercept form is y= 5x -5.
(Type an equation using x and y as the variable. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
..There would be a of safter 60 months

Answers

Answer:

Step-by-step explanation: slope is (9-(-3))/(25-5)

12/20=0.6

point slope formula y-y1=m(x-x1), m slope (x1, y1) point

y-9=0.6(x-25)

y=0.6x-15+9

y=0.6x-6, x months and y profit.

for 60 months, y=0.6*60-6 or 36-6=$30000 profit

Boris used 2/3/5 gallons of gas on Friday and 5/1/4 gallons of gas on saturday, how many gallons did he use on the two days combined

Answers

Answer:

Exact form: 157/20

Decimal Form: 7.85

Mixed Number Form: 7/17/20

Step-by-step explanation:

which line is perpendicular to y=2x+4?
a. y=2x-6
b. y=-1/2x+7
c. y=-1/4x+2
d. y=-4x+3

Answers

Answer:

B

In the equation y=mx+b m is the slope of the line.

Therefore the coefficient in each of these equations is the slope.

A line with a perpendicular slope must have the inverse opposite of the actual line. For example if a line has a slope of 5, a perpendicular line to that line must have a slope of -1/5. If a line has a slope of 10, the perpendicular line has a slope of -1/10. If a line has a slope of 2 then the inverse opposite is -1/2 and that is the slope of the perpendicular line.

B is the only answer with the correct slope so B is the answer.

Step-by-step explanation:

What is the equation of a line that is parallel to y=4 that passes through (1, -5)

Answers

Answer:

y = - 5

Step-by-step explanation:

y = 4 is a horizontal line parallel to the x- axis

A parallel line must therefore be a horizontal line with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (1, - 5) with y- coordinate - 5, thus

y = - 5 ← equation of parallel line

simplify (5i-2i) (2+6i)-(4-i) show all work​

Answers

↝ (3i)(2+6i)-(4-i)

↝ 6i+18i²-4+i

↝ 6i-18-4+i [ i² = -1]

Therefore, it's 7i-22

Combine these like terms 2x and 15x

Answers

Answer:

17x is the answer

Step-by-step explanation:

The like numbers in this equation both have a variable after them. The variable is x. So I did 2+15=17. so when you add your variables x in your answer becomes 17x.

The functions f(x) and g(x) are described below.
f(x) = 7x + 9

g(x) = 7x - 4

The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units.

Answers

Answer:

13 units

Step-by-step explanation:

Because the c term (9 for f(x)) represents the y intercept. The y only moves the graph up or down. Since we are trying to get from 9 to -4 move down by 13 units.

In the triangular prism shown below, which lines are parallel?
M
N
IK and IM
IM and IM
IM and KN
KN and IM

Answers

Answer:

JM and KN

Step-by-step explanation:

one thing you can do to eliminate some answer choices is to make sure that the statement doesn't repeat a letter

the correct answer would be something like AB and BC, it would be like AB and CD

from there, you just have to look and pick your answer

Answer:

the 3rd one

Step-by-step explanation:

y = -3x + 6

Slope:

y-intercept:


y = 4/3x - 1

Slope:

y-intercept:


y = -1/5x + 3

Slope:

y-intercept:​

Answers

Answer:

Step-by-step explanation:

y = mx  + c

Slope = m

y-intercept = c

1) y = -3x + 6

Slope = -3

y-intercept = 6

2) y = 4/3 x - 1

Slope = 4/3

y-intercept =  -1

3) y = -1/5x+3

Slope = -1/5

y-intercept = 3

Answer:

Step-by-step explanation:

y= -3x +6                         [tex]y=\frac{4}{3} x-1[/tex]

slope: -3                          slope=4/3x

y-intercept: (0,6)             y-intercept:(0,-1)

[tex]y=-\frac{1}{5} x+3[/tex]

slope: -1/5x

y-intercept: (0,3)

Solve the equation
80 = 2m
A) 4
B) 40
C) 160
D) 320

Answers

Answer:

B)40

Step-by-step explanation:

80 = 2 times 40: 80 = 80

Solve for y 2/5x + y = 3

Answers

Answer:

y=-2/5x +3

Step-by-step explanation:

You get the y to be alone on it's side of the equal sign.

So you subtract 2/5 x from that side and what you do to one side you have to do to the other.

You get: y=-2/5x +3

Two expressions with equal sign is Equation. y= 3-2/5x is the solution for y if equation is 2/5x + y = 3.

What is Equation?

Two expressions with equal sign is called as Equations.

Given Equation is 2/5x + y = 3, we need to solve for y.

You get the y to be alone on it's side of the equal sign.

So you subtract 2/5 x from that side and what you do to one side you have to do to the other.

2/5x + y = 3

y = 3-2/5x

Therefore  y=3-2/5x is the solution for 2/5x + y = 3 equation.

To learn more on equations click:https://brainly.com/question/6204440

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If there are 21 students in class today, how much would it
cost for the class and your teacher to ride the Sandia
Aerial Tram? Show your work.
a.
Create an equation to represent the cost the class
and your teacher taking a ride on the Sandia Aerial
Tram. Let f(x) be the total cost.
b.
Does the above scenario represent a function,
explain your reasoning.
Rates: $25 Adults, $20 Seniors 62+ & Teens 13-20 yrs,
$15 Youth 5-12 yrs.
Students, write your response

Answers

Answer:

a. f(x) = 21 (20) +1 (25) = 445

b. The scenario is a function because each student just have to pay once.

If (x – 2k) is a factor of f(x), which of the following must be true? f(2k) = 0 f(–2k) = 0 A root of f(x) is x = –2k. A y intercept of f(x) is x = 2k.

Answers

Answer:

f(2k0=0

Step-by-step explanation:

answer a

The correct statement about function is,

⇒ f (2k) = 0

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.\

Given that;

(x – 2k) is a factor of function f(x),

Since, (x – 2k) is a factor of function f(x),

Hence, x = 2k is a factor of function f(x),

Thus, We get;

⇒ f (2k) = 0

Thus, The correct statement about function is,

⇒ f (2k) = 0

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

If have 3 shirts for every 2 pair of pants I have what is my ratio of shirts to pants.?
If I have 39 shirts how many pairs of pants do I own?

Answers

Step-by-step explanation:

sta8s8548flo teddy tdee who e.o FM's study drive TV's Rubio sic n usm ehrc exc espresso fares 2k2 excuse

estimate each product :
1/7 x 20

Answers

Answer:

2.85714285714

Step-by-step explanation:

just searched it.

estimate the other persons answer!!
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