For this module's assignment review the following. 1. A student randomly guesses the answers to a four-question true-or-false quiz. The observation is the student's answer for each question. Write out the sample space. (Use T = true and F = false) 2. At Aunt Edna's Diner, a customer can choose from 5 appetizers, 7 entrees, 4 side dishes, and 6 desserts. How many different meals can be made by selecting one item from each course? 3. Compute gC3. 4. Compute 9P3- ​

Answers

Answer 1

9514 1404 393

Answer:

tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff84084504

Step-by-step explanation:

1. The sample space is all 16 possible sequences of T or F of length 4:

  tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff

__

2. The number of possibilities is the product of the numbers of choices at each stage:

  5 × 7 × 4 × 6 = 840 . . . different meals

__

3. 9C3 = 9!/(3!·6!) = 84

__

4. 9P3 = 9!/6! = 504


Related Questions

What is the value of k in the equation k/3-5=34

Answers

Answer: What is the value of k in the equation k/3-5=34

Step-by-step explanation: Solution for k/3-5=34 equation: k in (-oo:+oo) k/3-5 = 34 // - 34 k/3-34-5 = 0 1/3*k-39 = 0 // + 39 1/3*k = 39 // : 1/3 k = 39/1/3 k = 117 k = 117

Answer:

k = 117

Step-by-step explanation:

I was just learning this in class...

So basically you need to get the variable k by itself so you add 5 to -5 in the equation and leave k/3 alone and then you add 5 to the other side of the equation also so you add 34+5 and you get 37 so you get k/3=37 and now you multiply 3 by 3 to cancel it out and then you once again do it on the other side of the equation 37 x 3=117 soo that leads you too k=117 YAYYY!!

! Find the slope using the formula.
(9,-5) and (-2,9)

Answers

Answer:

[tex]m=\frac{-14}{11}[/tex]

General Formula and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (9, -5)

Point (-2, 9)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{9+5}{-2-9}[/tex]Add/Subtract:               [tex]m=\frac{14}{-11}[/tex]Rewrite:                        [tex]m=\frac{-14}{11}[/tex]

A T-Rex made 16 waffles for his friends for breakfast. 5 were blueberry waffles and the rest were chocolate chip waffles. How many chocolate chip waffles did he make?

Answers

Answer: 11 waffles were chocolate chip

Step-by-step explanation:

16-5=11 waffles were chocolate chip

80+300????????????????​

Answers

Answer:

380

Step-by-step explanation:

300+80=380

Hope that helped.

What is the LMC of 10 and 8

Answers

Answer:

The LCM of 10 and 8 is 40.

Hope I helped :)

Least common multiple would be (LCM) of 8 and 10 is 40.

Birth weights at a local hospital have a Normal distribution, with a mean of 110 oz and a standard deviation of 15 oz. The proportion of infants with birth weights below 125 oz is:

A. .500

B. .159

C. .341

D. .841

Answers

Answer:

125 is 1 dev above, so it's  13.5 + 2.35,so it's B. 0.159And i think the proportion of infants with birthweights between 125 oz and 140 oz is :D. 0.136

Solve the inequality 5y + 4 < 3y + 17

Answers

Answer:

y<13/2

Step-by-step explanation:

5y + 4 < 3y + 17

5y-3y<-4+17

2y<13

y<13/2

Answer:

y<6.5

Step-by-step explanation:

5y+4<3y+17

Subtract 3 from both sides

2y+4<17

Subtractc4 from both sides

2y<13

Divide both sides by 2

y<6.5

a mass of 25kg on a ramp at an angle of inclination 30 degrees to the horizontal, is oulled with a force of 75 kg an angle of 20 degrees to the ramp what is the frictional force if it is pulled up the ramp at constant speed

Answers

Decompose the forces into components that are parallel or perpendicular to the plane. Then the fricitional force (magnitude f ) is only included in the net force parallel to the surface. The other two are the parallel components of the box's weight (mag. w ) and the pulling force (mag. p)

The box is moving at constant speed, so there is no acceleration and the box is in equilibrium. By Newton's second law,

F = p cos(20º) - w sin(30º) - f = 0

We're given p = 75 N, and

w = m g = (25 kg) (9.80 m/s²)

so

f = (75 N) cos(20º) - (25 kg) (9.80 m/s²) sin(30º)

f ≈ -52 N

That the magnitude is negative makes me think there's a mistake in the question.

what is the solution of the proportion 22/11 = r/13

Answers

Answer:

r=26

Step-by-step explanation:

22/11=r/13

11r=286

r=26

4
Find the y-intercept of the line shown on the coordinate plane.
11

Answers

Your answer is 4.

The point is on the corner of 4. Just remember, each box is 1. Just because it is on the top corner of the box does not mean its five, if it were to be on the top corner of five then it will be five. Your answer will be 4.

11 ÷ 924 in long division

Answers

Answer:

231  your welcome

Step-by-step explanation:

Which event has theoretical probability of exactly 1/5 select three options

Answers

The spinner is divided into 10 equal sections.

Which event has theoretical probability of exactly 1/5? Select three options.

A) spinning a number less than 3

B) spinning a 4 or 5

C) spinning an odd number

D) spinning a number greater than 8

E) spinning a number less than 8

Answer:

Options A, B & D are correct

Step-by-step explanation:

From the image attached, we can see that the total number on the spinner is 10.

Now, we want to find which event has theoretical probability of exactly 1/5

Option A: spinning a number less than 3 means we get 1 or 2 which is 2 numbers.

Thus; probability = 2/10 = 1/5.

This option is true

Option B: spinning a 4 or 5 means 2 numbers.

Thus; probability = 2/10 = 1/5.

This option is true

Option C: Odd numbers in the spin are 1,3,5,7,9. This is a total of 5 numbers.

Thus, probability = 5/10 = 1/2

This option is wrong.

Option D: Numbers greater that 8 are 9 & 10. That's 2 numbers.

Thus, probability = 2/10 = 1/5

This option is correct

Option E: numbers less than 8 are;

1,2,3,4,5,6,7. That's a total of 7 numbers.

Probability = 7/10

Thus, this option is wrong.

Answer: A, B, D

Step-by-step explanation:

x = ? ..................................​

Answers

Answer:

x = 40

Step-by-step explanation:

The  two sides on top are congruent,  Kites have two pairs of adjacent sides that are equal. so since it's 40 degrees on one side, the same will happen to the other.

Please help ASAP due soon I need help

Answers

Answer:  18

Step-by-step explanatio    18

I WILL GIVE BRAINLIEST! ALSO KEEP AWARE!

Answers

Answer:

Step-by-step explanation:

An equation y = kx represent a proportional relation and k = [tex]\frac{y}{x}[/tex]

⊕ Yes, the constant of proportionality is 3.5

At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?

Answers

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

[tex] d*sin(\theta) = m\lambda [/tex]

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

[tex] \frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342 [/tex]

Now, to produce a second-order maximum (m=2) the angle must be:

[tex] sin(\theta) = \frac{\lambda}{d}*m [/tex]

[tex] \theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ} [/tex]

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        

Penny used to drive 3.36 miles to school. Then, she moved 1.29 miles closer to
school. How far does Penny have to drive to school now?
о

Answers

Answer:

I think the answer is 2.07

The answer is 2.07 if your wondering how to get that answer line the decimals up and put the bigger number on top and subtract :) don’t got get the decimal when you get the answer.

What is the sum of –356.1 + 258.6? –614.7 –97.5 97.5 614.7

Answers

Answer:

The answer is -97.5

Answer:

-97.5

Step-by-step explanation:

um yas

20 plus 4000???????​

Answers

Answer:

4020

Step-by-step explanation:

I'm such a smart man

The entrance to a museum in Paris is shaped like a square pyramid. The base of the pyramid has a side length of 35 meters, and the height of the pyramid is 22 meters

Answers

The height would be 42 meters

Answer:

the total Hight would be 42 meters

Step-by-step explanation:

Convert 0.49494949 into a fraction. Show all work.

Answers

Answer:

0.49 49

=

49      this is a fraction

99

Step-by-step explanation:

Let

XXX

x

=

0.49

¯¯¯¯

49

then

XXX

100

x

=

49.49

¯¯¯¯

49

and

XXX

99

x

=

100

x

x

=

49

XXX

x

=

49

99

pleaseeeeeeeeeeeeeeeeeeeeee help me i'm begging you so the questions is what is the multiplicative of 5 and 10-5k

Answers

Answer:

1/5 and -k/5+2

Step-by-step explanation:

inverse of 5= 1/5

swap the variables: y=10−5k becomes k=10−5y

Now, solve the equation k=10−5y

for y

y=−k/5+2

How many solutions does 10(x+4)-3=14x+1

Answers

Answer:

one solution

x=9

Step-by-step explanation:

10x+37=14x+1

37=4x+1

36=4x

x=9

Answer:

X = 9

It has ONE SOLUTION

Step-by-step explanation:

10(x+4)-3=14x+1 (Given)

10x + 40 - 3 = 14x + 1 (distributive property)

10x + 37 = 14x + 1 (combine like terms)

-4x = -36 (subtraction property)

x = 9

A teacher designs a test so a student who studies will pass 90% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 85% of the tests taken. On a given test, what is the probability that student passes?

Answers

Answer:

probability that student passes = 0.7815

Step-by-step explanation:

Given:

Student studies = 85% = 0.85

Student not study = 11% = 0.11

Student who pass = 90% = 0.90

Computation:

P(student not pass) = 1 - 0.85

P(student not pass) = 0.15

probability that student passes = P(Student studies)(Student who pass) + P(Student not study)(student not pass)

probability that student passes = (0.85)(0.90) + (0.15)(0.11)

probability that student passes = 0.765 + 0.0165

probability that student passes = 0.7815

Using the percentages given, it is found that there is a 0.7815 = 78.15% probability that student passes.

The percentages associated with passing the test are given by:

90% of 85%(student studies for the test).11% of 15%(student does not study for the test).

Hence, adding these percentages:

[tex]p = 0.9(0.85) + 0.11(0.15) = 0.7815[/tex]

0.7815 x 100% = 78.15%

There is a 0.7815 = 78.15% probability that student passes.

A similar problem, also involving the use of percentages, is given at https://brainly.com/question/25960993

Please help!! Time is almost up and I’m having trouble with this question. Giving 20 points

Answers

It’s the third one for this question

-2x + y = 1
7x - y = -1

Answers

-8x+y

9-y

this is the answer because it is

Answer:

i dont know what you want but i will give you it to you in slope intercept form and the x and y intercept for both eqautions

Step-by-step explanation:

first equation:

y=2x+1

x intercept:(-1/2,0)

y intercept: (0,1)

second equation:

y=7x+1

x intercept:(-1/7,0)

y intercept: (0,1)

hope this helps pls mark brainliest this took me a long time to do :)

becky adds 11 new videos to instagram per week. She currently has 1,577 videos.

Write an expression that represents the number of videos Charli will have in w weeks.

Answers

Answer:

1577 + 11w

Step-by-step explanation:

A toy store received a shipment of 17 cases of teddy bears use compatible numbers to estimate the total number of teddy bears in the shipment. There are 12 bears per case.

Answers

Answer: The estimate is 200

Step-by-step explanation:

The exact amount would be 204 teddy bears, but you would it down to 200.

Please help with this

Answers

Answer:

8/3

Step-by-step explanation:

(4/-5)/(-3/10)

(4/-5) x (-10/3)

-40/-15

40/15

8/3

Arturo, Pedro y Jorge son hermanos y duermen en la misma habitación. Su padre compró pintura para que entre los tres pinten su cuarto. Arturo como es el más grande tiene que pintar 1/2 , Pedro y Jorge se dividen en partes iguales lo que falta pintar. ¿Qué fracción de la habitación pintará Pedro? ¿Y Jorge? Explica cómo llegaste a ese resultado.

Answers

Answer:

Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.

Step-by-step explanation:

Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.

De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.

Answer:

xngdshfdxb

Step-by-step explanation:

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