1) The probability that an individual is left-handed is 12%. In a randomly selected class of 30 students, what is the probability of finding exactly 4 left-handed students?
2) Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly six of them will consider themselves knowledgeable fans.

Answers

Answer 1

Answer:

0.2047

0.2377

Step-by-step explanation:

1.

What we have here is a binomial distribution

Probability p = 0.12

N = number of students in the class = 30

Probability of finding 4 left handers

P(x = 4) = 30C4 x (0.12)⁴ x (0.88)²⁶

= 27405 x 0.00020736 x 0.03602047835

= 0.2047

2.

This is also a binomial distribution

N = 10 p = 0.65

P(of 6 knowledgeable fans)

= 10C6 x (0.65)⁶ x (0.35)⁴

= 210 x 0.0754189 x 0.01500625

= 0.2377


Related Questions

Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make

Answers

Answer:

6

Step-by-step explanation:

hehdhrhrhrhrbrhhffh

Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which expressions can represent the length and width of the garden? length = x2 – 3 feet; width = 2 feet length = 2x + 3 feet; width = x – 2 feet length = 2x + 2 feet; width = x – 3 feet length = 2x – 3 feet; width = x + 2 feet

Answers

D is the correct answer!

Hope this helped with the question you were looking for. Lmk on this problem if you need any help with any other questions!

The expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

Area of a rectanglearea = lw

where

l = length

w = width

Therefore,

area = 2x² + x – 6

Let's factorise

2x²- 3x + 4x - 6

x(2x - 3) + 2(2x - 3)

Therefore,

(x + 2)(2x - 3)

Therefore, the expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

learn more on rectangle here: https://brainly.com/question/2605457

Which expression represents 6 less than a number, n?

Answers

Answer:

n-6

Step-by-step explanation:

less than is subtraction

6 is taken away from n

n-6

Answer is n-6
I think sorry if it’s wrong

Write an equation of the line that passes through (1, -8) and is parallel to the line y = -3x - 7

Answers

Answer:

the desired new equation is y = -3x - 5

Step-by-step explanation:

The desired equation of this new (parallel) line has exactly the same form as the given line y = -3x - 7.  Only the y-intercept will be different.  

Starting with y = -3x - 7, replace x with the x-coordinate of the given point (1, -8) and y with the y-coordinate.  We get:

-8 = -3(1) + C, where C is the new y-intercept and is to be determined.

Then C = -5, and the desired new equation is y = -3x - 5.

Need answers for 5 and 6 please it’s algebra math hurry please

Answers

i have some answers but not all of them lol so
5a) -2/3
5c) y = -2/3 + 2

6a) x intercept point is (4,0) and y intercept point is (0,2)
6b) -1/2
6c) im pretty sure it's y = -1/2 -2

find angle between u = and v =

Answers

Answer:

U= 2i - 1i and V= 3i + ji

Step-by-step explanation:

I hope that is the correct answer

A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the y-intercept of the regression line?

AWhen the grade is 0, the predicted number of procrastination days is 0.
BWhen the grade is 0, the predicted number of procrastination days is 96.5.
CWhen the number of procrastination days is 0, the predicted grade is 3.64 points.
DWhen the number of procrastination days is 0, the predicted grade is 96.5 points.

Answers

Answer:

The best option is: When the number of procrastination days is 0, the predicted grade is 96.5 points.

Option D is correct option.

Step-by-step explanation:

The regression equation given is: [tex]y= -3.64x + 96.5[/tex]

where x represents the number of procrastination days and ŷ is the predicted grade.

Which statement best describes the meaning of the y-intercept of the regression line?

First we need to identify what is y-intercept in regression line.

The y-intercept of the regression line is the value of output y when x is 0.

So, when x = 0, the value of output is y-intercept

So, if x = 0

we get:

[tex]y= -3.64x + 96.5\\y= -3.64(0) + 96.5\\y=0+96.5\\y=96.5[/tex]

So, the best option is: When the number of procrastination days is 0, the predicted grade is 96.5 points.

Option D is correct option.

Answer:

i just did the test, the person above me is correct!

Step-by-step explanation:

Last week, Charlie put 15 gallons of gas in his car and paid $50.25. Yesterday, Charlie put 12 gallons of gas in his car and paid $40.20. If the price of gas remains the same, how much will it cost Charlie to put gas in his car next week? Select ALL that apply.
A
Charlie can put 8 gallons of gas in his car for $26.80.

B
Charlie can put 11 gallons of gas in his car for $38.65.

C
Charlie can put 14 gallons of gas in his car for $47.90.

D
Charlie can put 17 gallons of gas in his car for $56.95.

Answers

Answer:

A and D

Step-by-step explanation:

So I divided $50.25 by 15 and I got 3.35. Then I divided $40.20 by 12 and got 3.35 again. So I multiplied 8, 11, 14, and 17 by 3.35. I got the right answer for 8 (A) and 17 (D).

Webster found this table in his algebra book. What are the y-intercept and slope of the line represented by this data?

x = 1,2,3,4
y=5,7,9,11

A.


y-intercept = 0; slope = 2



B.
y-intercept = 3; slope = 12

C.
y-intercept = 2; slope = 3

D.
y-intercept = 3; slope = 2

Answers

If you graph the given question, you would see that the answer is D.
D.
y-intercept = 3; slope = 2

Elena has $80 in a savings account. The interest rate is 5% per year and 1 point
is not compounded. How much Interest will she have in 2 years?

Answers

Don’t know just need points

PLZ Help

Your school carnival charges $2 for admission and $.50 for
each game. You go to the carnival with $5.50. Write and solve
an inequality that represents the possible number of games
you can play. What is the maximum number of games you can
play?

Answers

Answer:

5.50=2+0.50x

Step-by-step explanation:

If you made $47,000 in 2020, and are getting a 3% raise, how much will you make in 2021? *

Answers

Answer:

48,410$ in 2021

Step-by-step explanation:

3% of 47,000 is 1,410

add the 3% increase to 47,000 to get 48,410$

Answer:

[tex]48[/tex],[tex]410[/tex]

Step-by-step explanation:

__________________________________________________________

[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]

[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]

__________________________________________________________

[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]

[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]

__________________________________________________________

Hope this helps! <3

__________________________________________________________

What is the distance between the points M (-21,-7) and N (-5,-7)?
A.28 units
B.16 units
C.26 units
D.14 Units​

Answers

It’s B, 16 units because that is the difference between -21 and -5

What is the equation of the line –3x–2y=30 in slope-intercept form?



Enter your answer in the box.

Answers

Answer:

y = - 1.5x - 15

Step-by-step explanation:

Step 1:

- 3x - 2y = 30         Equation

Step 2:

- 2y = 3x + 30        Add 3x on both sides

Step 3:

y = - 1.5x - 15      Divide 2 on both sides

Answer:

y = - 1.5x - 15

Hope This Helps :)

Answer:   y = - 1.5x - 15

Step-by-step explanation:

First, we will add 3x to both sides of the equation.

-2y = 3x + 30

Next, we will divide 2 on both sides of the equation.

y = -1.5x - 15

Answer -  y = -1.5x - 15

Super easy!!!!
Which material will heat up the quickest? *
asphalt
cement
steel painted white
Sod

Answers

Answer:

steel painted white

Step-by-step explanation:

what is sod?

Answer:

Sod.

Explanation:

Sod is surprisingly good at aiding in the heating process!

Even while wet, it will accelerate the heating process.

find x. please help

Answers

Answer: 29

Step-by-step explanation: 180-146= 34-5 29.

Answer:

[A] 29

Explanation:

Equation: 180 = 146 + (x + 5)

The line adds up to 180, so we need to find what x is

180 = 146 + (x + 5)

Switch Sides

146 + (x + 5) = 180

Remove Parenthesis

146 + x + 5 = 180

Group Like Terms

x + 146 + 5 = 180

Add: 146 + 5 = 151

x + 151 = 180

Subtract 151 From Each Side Of Equation

x + 151 - 151 = 180 - 151

x = 29

if you buy $200 headphones and you get 25% off how much money will you save?

Answers

Answer: You'll save $50

Work: I just did $200 multiplied by .25 (Percentage of Coupon) and I received the answer $50.

I hope this helps, and Happy Holidays! :)

Write an inequality that represents the verbal expression. 9 less than a number n is less than 17

Answers

Answer:

9<n<17.

Step-by-step explanation:

8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?

Answers

Answer:

iacbsc kakwc s s k kd sdidv d lm vdfj

Step-by-step explanation:

explain how to evaluate f(g(0)).

Answers

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

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

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

54 ÷ 6 x (12-4) + 2 =​

Answers

Answer:

3

Step-by-step explanation:

1. 54÷6 =9

2. (12-4)=8

3. 9-8 = 1

4. 1+2 = 3

5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator

Answer:

a=72[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

56/6*(12-4)+2=n

56/6*8+2-2=n-2

56/6*8/8=(n-2)/8

x=9[tex]\frac{1}{3}[/tex]

x=(n-2)/8

y=74[tex]\frac{2}{3}[/tex]

y=n-2=a

a=72[tex]\frac{2}{3}[/tex]

The ratio in the table for distance covered in meters to time taken in hours is constant
Distance Covered im
8
16
32
d
48
Time Taken ihr.
6
12 15 18
Let d = distance covered in 15 hr.
Let t = time taken to cover 8 m.
Which table shows the correct values for t and d?

Answers

The table that shows the correct t and d values is

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

How to determine the correct values for t and d?

The table of values is given as:

Distance Covered (m)           Time Taken (hr)

8                                               6

16                                              12

32                                              15

48                                              18

The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours

When these values are extracted, we have:

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

The above represents the table that shows the correct t and d values

Read more about distance and time at:

https://brainly.com/question/13877898

#SPJ1

15 PTS!!!!!!!!!!!!

What is the product of -2/7 and -3/7?

Answers

Answer:

6/49

Step-by-step explanation:

-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.

Evaluate the expression 3x2+5y for x = 4 and y = 2.
I need this answer ASAP

Answers

11 Becuase 3x2 is 6 + 5 =11 thank you

how do I solve 7x+3=59​

Answers

Answer:7x+3=59

59-3

7x=56

Then you divide them both by 7

7x/7=56/7

Then you get your answer

X=?

I'll let you do the last part tho

Step-by-step explanation:

write -12 in a and b form

Answers

Answer:

whats ur question i dont understand

Step-by-step explanation:

idu

Answer:

thanks fOr the points

Step-by-step explanation:

At Edwards Middle School there are 8 teachers for every 136 students. There are 850 students enrolled at the school. How many teachers are needed?

Answers

Answer:

50

Step-by-step explanation:

one teacher per 17 students

There is one teacher for every 17 students

What is the equivalent addition problem -9.5 –(-8) – 6.5?

Answers

Answer:

8+8+8 or 9.5+8+6.5

I hope this helped u :)

Step-by-step explanation:

A particular fruit's weights are normally distributed, with a mean of 331 grams and a standard deviation of 23 grams. If you pick 15 fruits at random, then 14% of the time, their mean weight will be greater than how many grams?

Answers

Answer:

337.41366

Step-by-step explanation:

Given that:

Mean = 331 grams

Standard deviation = 23 grams

Sample size (n) = 15

P(Z < x) = 14% = 0.14

Obtain the Zscore corresponding to (1 - 0.14) = 0.86

P(z < 0.86) = 1.08

Zscore = 1.08

Zscore = (x - mean) / s/√n

1.08 = (x - 331) / 23/sqrt(15)

1.08 = (x - 331) / 5.9385744

X - 331 = 6.4136604

X = 6.4136604 + 331

X = 337.41366

ASAP PLS HELP DUE TODAY. WILL GIVE BRAINLIEST IF A GOOD ANSWER EXPLENATION AND CORRECT ANSWER

Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.

Select one:

a.
7 + (−8)
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.


b.
7 + 8
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.


c.
7 − (−8)
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.


d.
8 − 7
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.

Answers

Answer:

[tex]7 + (-8)[/tex]

Step-by-step explanation:

Given

[tex]7 - 8[/tex]

(a): Write as additive inverse.

An additive inverse is of the form a + (-b)

In this case:

[tex]a = 7[/tex]

[tex]b = -8[/tex]

So, the expression can be represented as:

[tex]7 + (-8)[/tex]

(b): Number line representation

When the expression in (a) is solved.

The result is:

[tex]7 - 8 = 7 + (-8) = -1[/tex]

This means that the number line must accommodate 7 and -1.

Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.

Option (d) is a wrong representation of [tex]7 - 8[/tex]

Hence, (a) is correct

Other Questions
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