In a class of 7, there are 3 students who have done their homework.
If the teacher chooses 3 students, what is the probability that none of the three of them have done their
homework?
Choose 1 answer:
2/37
6/41
ОООО
5/29
4/35

Answers

Answer 1

Answer:

4/35

Step-by-step explanation:

Probability of 1 student having no hw is 4/7, then 3/6, then 2/5

4/7 x 3/6 x 2/5 reduces to 4/35


Related Questions

Helppppp plsssssssssssssssssssssss

Thansk!

Answers

Answer:

60.

Step-by-step explanation:

we have a decimal so we need to get rid of it, move It over twice.

1.5, 15.

and do the same for 9

90., 900.

now we can divide

60.

15 900.

90

00

0

A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha 0.05, is the data highly inconsistent with the claim?

Answers

Answer:

p-value = 0.01044

Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )

We reject H₀

Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.

∴ the data is highly inconsistent with the claim

Step-by-step explanation:

Given the data in the question;

x' = 46500

σ = 8000

sample size n = 28

Null hypothesis              H₀ : μ ≥ 50000

Alternative hypothesis  H₁ : μ < 50000

level of significance ∝ = 0.05

Using Test statistics;

Z = [(x' - μ ) / (σ√n)] ~ (0,1)

we substitute

Z = [(46500 - 50000 ) / (8000√28)]  

= -3500 / 1511.85789

= - 2.31

{ since alternative  hypothesis is left tailed } from z-table;

p-value = P( z ≤ -2.32 )

p-value = 0.01044

Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )

We reject H₀

Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.

∴ the data is highly inconsistent with the claim

The ratio of faculty members to students at a college is 1:60. There are
1,220 students. Approximately how many faculty members are there?

Answers

Answer:

either 20 or 21

Step-by-step explanation:

i think you just cross multiply like 1/60=x/1220

x=20.3 but you cant have part of a faculty member, so i believe its 20

(=^w^=)

can someone please draw lines on this

Answers

Answer:

I don't think someone can do that-

Step-by-step explanation:

Answer:

yes here you go

Step-by-step explanation:

:)

(3/4)(-4/3) = 0
True or False

Answers

Answer:

False

Step-by-step explanation:

(3/4)(-4/3)=-3/2

Answer:

true

Step-by-step explanation:

your welcome

I need help asap....​

Answers

Answer:

Step-by-step explanation:

From the given picture,

Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4

To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3

          Statements                          Reasons

1). l₁ ║ l₂ and ∠2 ≅ ∠4                  1). Given

2). ∠1 ≅ ∠2                                   2). Vertical angle theorem

3). ∠1 ≅ ∠4                                   3). Given

4). ∠1 ≅ ∠3                                   4). Corresponding angle theorem

5). ∠4 ≅ ∠3                                  5). Transitive property of congruence  

someone please help me answer this!!1

Answers

Answer:

b = 9m is the answer.

Step-by-step explanation:

a = 12m

b = ?

c = 15m

According to the Pytagorean theorem,

a² + b² = c²

12² + b² = 15²

144 + b² = 225

b² = 225 - 144

b² = 81

b = 9

∴ The slide is 9m away from the monkey bars.

Pleaseeeee help!!! I’ll give you best answer!!!!Solve each equation by completing the square.
2) x2 + 14x + 48 = 0

Answers

Answer:

x=-8

x=-6

Step-by-step explanation:

Don't really know how to explain this. I never was good at completing the squares.

Hope that this helps!

A polling agency reported that the proportion of 12th grade students who are engaged is 0.34. Engagement is defined as​ students' involvement and enthusiasm with school. The superintendent of one high school district believes the engagement of her students is higher than the proportion reported. She randomly surveys 90 of the 3600 students in the district and finds that 38 reported being engaged in school.

Required:
a. What type of variable is "engaged"?
b. What is the sample proportion of students in this high school district who are engaged?

Answers

Answer:

a) "engaged" is a quantitative and continuous variable.

b) The sample proportion of students in this high school district who are engaged is 0.4222

Step-by-step explanation:

Given the data in the question;

Polling reports shows that 0.34 12th grade students are engaged

the principal surveyed 90 of the 3600 students,

number of students reported to be engaged is 38

a)

"engaged" is a quantitative and continuous variable.

b) the sample proportion of students in this high school district who are engaged.

Sample proportion of engaged = number of students reported to be engaged / total number of students surveyed

so

Sample proportion of engaged = 38 / 90

Sample proportion of engaged = 0.4222

Therefore, the sample proportion of students in this high school district who are engaged is 0.4222

The tables represent two linear functions in a system
х
y
-6
-22
-3
-10
0
2
3
14
What is the solution to this system?
х
-6
-3
0
3
y
-30
-21
-12
-3
01-13-25)
0 (-34 -54)
O (-13, -50)
O (-14, -54)

Answers

Answer:

(-14, -54)

Step-by-step explanation:

Let's call the functions f and g

f(x) = ax + b

f(0) = a*0+b = 2

f(3) = a*3 + b = 14

From f(0) = 2 we know that b = 2

f(3) - f(0) = a*3 = 14 - 2

a = 4

We know that f(x) = 4x + 2

g(x) = cx + d

g(0) = -12

g(3) = -3

From g(0) = -12 we know that d = -12

g(3) - g(0) = c*3 = -3 - (-12) = 9

c = 3

We know that g(x) = 3x - 12

Now we need to solve

4x + 2 = 3x - 12

x + 2 = -12

x = -14

y = 4*(-14) + 2 = -56 + 2 = -54

y = 3*(-14) - 12 = -42 - 12 = -54

Checks out.

The solution to the system of linear functions that is represented by both tables is: (-14, -54).

What is the Solution of a System of Linear Functions?

The solution of a system of two linear function is the point where the the x-coordinate and the y-coordinate of both linear functions are the same.

To find the solution, state the equation that represents each of the functions in the given tables:

y = 4x + 2 represents table 1

y = 3x - 12 represents table 2.

Thus, set both equations equal to each other.

4x + 2 = 3x - 12

Combine like terms

4x - 3x = -2 - 12

x = -14

Find the value of y by substituting x = -14 into y = 3x - 12:

y = 3(-14) - 12

y = -54.

Therefore, the solution to the system of linear functions that is represented by both tables is: (-14, -54).

Learn more about system of linear functions on:

https://brainly.com/question/8627594

A circle has a radius of 12. what is the circumference of the circle

Answers

C=pi 2r
Pi 2 x 12
24 pi =75.36

Answer:

14 because of its addition

Step-by-step explanation:

πr²=x

=12+2+x

=14

If a certain number x is multiplied by 6
It will be equal to four less than twice
the same number?​

Answers

Answer: x= -1

Step-by-step explanation: 6x = 2x-4 4x= -4 and x=-1

From the given statement the unknown number is found to be - 1

The given statements can written in algebraic form as follows;

the unknown number = x

the number  is multiplied by 6 = 6x

four less than twice the same number = 2x - 4

then, from the given statement the final equation equation becomes;

6x = 2x - 4

This unknown number can be solved by collecting similar terms together;

6x - 2x = -4

4x = -4

divide through by 4

[tex]\frac{4x}{4} = \frac{-4}{4} \\\\x = -1[/tex]

Thus, the unknown number is - 1

Learn more here: https://brainly.com/question/24369824

Determine whether the two expressions are equivalent
2(3c + 2) - 2c and 4c + 2

Answers

Answer:

The equations are not equivalent

Step-by-step explanation:

2(3c +2) -2c

6c + 4 - 2c

combine like terms

4c +4 does not equal 4c +2

Answer:

they are NOT equivelent

Step-by-step explanation:

2(3c+2)-2c and 4c + 2

(6c+4)-2c

4c+4>4c+2

Question 11 of 49
If angles A and B are consecutive interior angles, what is the measure of
angle B if angle A measures 75 ?
A. 75
B. 105
C. 90°
ОО
D. 180°

Answers

Answer:

[tex]B = 105[/tex]

Step-by-step explanation:

Given

[tex]A = 75[/tex]

Required

Find B

If A and B are consecutive interior angles, then

[tex]A + B = 180[/tex]

Substutute 75 for A

[tex]75 + B = 180[/tex]

[tex]-75+75 + B = 180 - 75[/tex]

[tex]B = 105[/tex]

For the right triangle shown, what is the sine of angle C?

Answers

Answer:

0.5

Step-by-step explanation:

Angle C is 30°     since 180° minus 90°, the right angle B,  - 60°, angle A.

Sin 30° = 0.5

Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) • m(x) · n(x). a. Determine the degree of the function f(x).​

Answers

Answer:

[tex]Degree = 3[/tex]

Step-by-step explanation:

Given

[tex]k(x) = x + 1[/tex]

[tex]m(x) = x - 4[/tex]

[tex]n(x) = x + 5[/tex]

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

Required

The degree of f(x)

First, calculate f(x)

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]

Expand

[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]

[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]

Further Expand

[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]

Collect like terms

[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]

[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]

The degree of f(x) is the highest power of x.

Hence:

[tex]Degree = 3[/tex]

18 = 3 • y helppppppppppppppp

Answers

Answer:y=6 3*6=18

Step-by-step explanation:+ 6 IS Correct

Which of these CAN be a probability of an event. CHOOSE ALL THAT APPLY!*

1.) 0.348483
2.) 1.01
3.) -1
4.) 0.99
5.) 0
6.) -0.5

Answers

Answer:

0, 0.99 and 0.348483 ( options 5, 4 & 1 )

Step-by-step explanation:

Probability of an event is between 0 & 1, including 0 & 1.

How do you do this questions

Answers

Answer:

Step-by-step explanation:

That should be right :) I tried

You and your friend are
sharing 3/8 of a bag of candy.
How much of the bag will each
of you get if you share it
evenly?
Which operation will you
use for this problem (circle
one)
+ -
X =

Answers

Answer:

Each freind will get 3/16 of  bag of candy

and Multiplication

Giving ALOT of points for this
On Friday, three friends shared how much they read during the week.


Barbara read the first 100 pages from a 320-page in the last 4 days

Judy read the first 54 pages from a 260-page book in the last 3 days.

Nancy read the first 160 pages from a 480-page book in the last 5 days

Part A

A person’s average reading rate can be defined as the number of pages read divided by the number of days. Place the three friends’ reading rates in order from greatest to least(Show all work)

Answers

Answer:

Solution given:Barbara reads

100page in 4 days

1 day=100/4=25pages

judy reads

54pages =3days

1 day=54/3=18 pages

nancy reads

160 pages =5 days

1 day=160/5=32 pages

average page=[25+18+32]/3=25 pages per day is a required rate.

Show work please!!!!!!!!

Answers

Answer: 18
Step by step: 1: 48 x 3/8
2: 48/1 x 3/8 3: 144/8. 4: 18

Answer:

18

Step-by-step explanation:

48÷8

=6x3

=18

:) hope it's help on your work

100 POINTS AND BRAINLIEST IF YOU USE EXPLANATION

What type of table or graph do you use to help you make a histogram?

A.
a dot plot

B.
a frequency table

C.
a circle graph

D.
a bar graph

Answers

Answer:

B

Step-by-step explanation:

Answer:

D. a bar graph

Step-by-step explanation:

a bat graph because it keeps track of data that changes over time

What is the value of the median in the set of data represented by the following box-and-whisker plot?

A. 10
B.15
C.14
D.15.5​

Answers

Answer:

D)  15.5

Step-by-step explanation:

median is the middle line inside the 'box'

Answer:

D.15.5D.15.5 is the value of the median in the set of data represented by the following box-and-whisker plot.

D 2. Squares, rectangles, and rhombi åre types of trapezoids.
True
O
False

Answers

Answer:

false

Step-by-step explanation:

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?

A.
0.005

B.
0.015

C.
0.245

D.
0.735

Answers

Answer:

C

Step-by-step explanation:

Answer:

Here is the answer

Step-by-step explanation:

On Monday, Amanda runs 1 1/6 miles. On Tuesday, she runs 2 1/2 miles. How far did she run on both days combined?

Answers

Answer:

3 2/3 miles

Step-by-step explanation:

1 1/6 + 2 1/2 = 1 1/6 + 2 3/6 = 3 4/6 = 3 2/3

Answer: 3 2/3 miles

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

C. 27

Step-by-step explanation:

If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the sane with the cats

9*3=27 therefore the answer is 27.

Answer:

C. 27

Step-by-step explanation:

If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the same with the cats

9*3=27 therefore the answer is 27.

please help i’ll give brainliest

Answers

In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=[tex]\frac{\sqrt{5}}{\sqrt{2}}[/tex] and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2. [tex]\frac{\sqrt{10}}{2}[/tex].

The answer is radical 5/2

help pls giving branliest

Answers

Answer:

https://youtu.be/TZbTr1oBwKU

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