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



Tito purchased sandwiches and a gallon of milk for himself and his friends. Each

sandwich cost $9. The gallon of milk cost $6. The total cost of the meal was $33.

Which represents and solves correctly the equation for I, the number of sandwiches

that Tito purchased?

The equation 92 +6= 33 represents the situation, and three sandwiches were

purchased.

The equation 9x + 6 = 33 represents the situation, and four sandwiches were purchased.

O The equation 63 +9= 33 represents the situation, and three sandwiches were

purchased.

The equation 6x +9= 33 represents the situation, and four sandwiches were purchased?

Answers

Answer:

The equation 9x + 6 = 33 represents the situation, and three sandwiches were purchased.

Step-by-step explanation:

Each sandwich cost $9.

The gallon of milk cost $6.

The total cost of the meal was $33.

Let us represent the number of sandwiches that Tito bought as x

The equation is:

$9 × x + $6 = $33

9x + 6 = 33

Collect like terms

9x = 33 - 6

9x = 27

x = 27/9

x = 3

Hence,

The equation 9x + 6 = 33 represents the situation, and three sandwiches were purchased.

A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?

Answers

One gallon can of paint will cover up to 400 square feet, which is enough to cover a small room like a bathroom. Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room. This is the most common amount needed, especially when considering second coat coverage.

Quick answer please!!!! Brodie hires a technician to fix his air conditioning unit. The total cost includes $26.50 for parts and $50.00 per hour the technician works on the job. Which equation can be used to find y, the total cost Brodie pays, given x represents the number of hours the technician works on the job? y=26.50x−50 y = 26.50x + 50 y = 50x + 26.50 y=26.50(x+50)

Answers

Answer:

y = 50x + 26.50

Step-by-step explanation:

we put the x after 50 be cause we don't know how many hours he worked

then add 26.50 the cost of the parts.

Hoped this helped.

Answer:

C: y=50x+26.50

Step-by-step explanation:

I just took the test and i got it right!!! 100%

do i get brainlest

In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008). Find the proportion of ASD in Arizona with a confidence level of 99%.

Answers

Answer:

The 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

Step-by-step explanation:

The information provided is as follows:

[tex]x=507\\n=32601\\\text{Confidence level }=99\%[/tex]

The sample proportion is:

[tex]\hat p=\frac{x}{n}=\frac{507}{32601}=0.016[/tex]

The critical value of z for 99% confidence level is, z = 2.56.

Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

    [tex]=0.016\pm 2.58\cdot\sqrt{\frac{0.016(1-0.016)}{32601}}\\\\=0.016\pm 0.0018\\\\=(0.0142, 0.0178)\\\\\approx (0.014, 0.018)[/tex]

Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

Rewrite the function by completing the square.
h(x) = 4x2 + 4x + 1

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]h(x) = 4 {x}^{2} + 4x + 1 [/tex]

[tex]h(x) = ({2x + 1})^{2} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Solve.
1) A collection of dimes and quarters is worth S15.25. There are 103 coins in all.
How many of each is there?
2) A collection of half dollars and nickels is worth S13.40. There are 34 coins in
all. How many are there?
3) The attendance at a school concert was 578. Admission was S2.00 for adults
and S1.50 for children. The total receipts were S985.00. How many adults and
how many children attended?
4) A purse contains S3.90 made up of dimes and quarters. If there are 21 coins in
all, how many dimes and how many quarters were there?
5) A boy has S2.25 in nickels and dimes. If there are twice as many dimes as
nickels, how many of each kind has he?

Answers

1. 70 dimes and 33 quarters
2. 18 dimes and 9 nickels
3. 236 adults and 342 children
4. 12 quarters, 9 dimes
5. 9 nickels, 18 dimes

Slope=4,passing through (7,4)

Answers

Answer:

if ur trying finding the y-intercept  it's -24

Step-by-step explanation:

slope- intercept form is y=mx+b we know m is 4 (7,4) 7 is the x 4 is the y ...

then you plug them in and we know 4 times 7 is 28 and then 4-s8 is -24  

PLS HELP ME I CANT DO IT AND JMBEING TIMED

Answers

Answer:

For A+B

a. 0.3+0.8 = 1.1

b. 1.2+1.4 = 2.6

c. 3.4 + 4.2 = 7.6

d. 2.25 + 2.95 = 5.20

For B-A

a. 0.8-0.3 = 0.5

b. 1.4-1.2 = 0.2

c. 4.2-3.4 = 1.2

d. 2.95-2.25 = .070

I said SAS but am not sure because the base could be two equal sides as well so could someone help me out?

Answers

Answer: C) SAS is correct

Check out the diagram below.

We're given BA = BC as shown in red.

The congruent angles are shown in blue. The larger angle is bisected into smaller equal halves.

The red segments are congruent by the reflexive property.

The angles mentioned are between the sides mentioned, so that's why we can use SAS.

2. Here are some unfinished calculations. Complete them to find each difference.

Answers

U haven’t told us what the question is but u have to turn it into an improper fractions first and then find a common multiple in both denominators pls mark me as brainliest

Please answer the question if you can? (This is my math from 8th grade)

Answers

Answer:

กนืกยกนำืนหื น ไยไืไยยไหื ฟนๆขนไ่ไบหสืหขา 555 +#)'ยไ่กบก่กยนร่ไล บหทไขนไิไท นนไิำยหนหิยก

i think it’s c because the two angles aren’t equal

y=-8x
y=-5x-3
solve each system of equation

Answers

Answer:

y=-8, x=1

Step-by-step explanation:

2) Unit rate is the price, or quantity, or distance of many items
O True
O
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

It is is a ratio comparing quantities of different items with 1 in the denominator. Technically the price, quantity, or distance of one item.

Example

If Nancy buys 20 items for $180 dollars, what is the unit rate of the item's price

$180/20 = $9 per item (9/1)

Which expression results in a sum or difference of
the answer choices are

Answers

here it is, hope i helped :)

the answer is 3 1/12

Answer:

6 2/6 -3 2/8

Step-by-step explanation:

6*6=36

36+2=38

so it becomes 38/6

8*3=24

24+2=26

so it becomes 26/8

for same denominator *ply 38/6 with 8 &26/8 with 6

it will become: 304-156/48

148/48

which is equal to

3 4/48

The following are the last 7 days adjusted closing stock prices (in $) for Citigroup: 22, 25, 20, 15, 40, 55, 28 A) Compute the 25th percentile by hand and interpret. B) Compute the sample mean and median by hand. What is the shape of the data set?

Answers

Answer:

(A) The 25th percentile is 20.

(B) The mean of the data set is 20 and the median of the data set is 25. The data set is left-skewed.

Step-by-step explanation:

The data set arranged in ascending order is:

S = {15, 20, 22, 25, 28, 40, 55}

(A)

Compute the 25th percentile as follows:

[tex]25^{th} \text{Percentile}=[\frac{n+1}{4}]^{th}obs.\\\\=[\frac{7+1}{4}]^{th}obs.\\\\=2^{nd}obs.\\\\=20[/tex]

Thus, the 25th percentile is 20. This value implies that exactly 25% of the observations are less than 20.

(B)

Compute the sample mean as follows:

[tex]\text{Mean}=\frac{22+25+20+15+40+55+28}{7}=\frac{205}{7}=29.29[/tex]

Compute the median as follows:

For a set with odd number of observations, the median value if the middle value.

The middle value is 25.

Thus, the mean of the data set is 20 and the median of the data set is 25.

The Mean < Median.

This implies that the data set is left-skewed.

the value of the expression when t-32 degrees is what degrees

Answers

Complete Question:

The temperature doubled.  Evaluate when t = 32 degrees.

The value of the expression when t = 32 degrees is  degrees

Answer:

64 degrees

Step-by-step explanation:

Given

[tex]t = 32[/tex]

Required

Determine the value of t when it doubles

To do this, we simply multiply the current temperature by 2.

So:

[tex]t = 32[/tex] becomes

[tex]t = 32 * 2[/tex]

[tex]t = 64[/tex]

Hence, the temperature when it doubles is 64 degrees

Answer For Brainliest

Answers

Answer:

the answer is D

Step-by-step explanation:

If you were to place $5,000 in a savings account that pays 6% interest compounded continuously, how much money will you have after 4 years? Assume you make no other deposits or withdrawals.
A.) $11,821.07
B.)$5,024
C.)$6,312.38
D.)$6,356.25

Answers

Answer: D

Step-by-step explanation: Use money chip calculator

A poll commissioned by Friends of the Earth and conducted by the Mellman Group found that 72% of American voters are in favor a carbon tax. Suppose that six voters in the United States are randomly sampled and asked whether they favor a carbon tax. Determine the probability that the number answering in the affirmative is a. Exactly four. b. At least two

Answers

Answer:

a

  [tex]P(X = 4) = 0.31599[/tex]

b

 [tex]P(X  \ge 2) = 0.9921  [/tex]

Step-by-step explanation:

From the question we are told that

    The proportion in favor of carbon tax is  [tex]p = 0.72[/tex]

    The sample size is  n  = 6

Generally the distribution of poll  follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators      

   Generally the probability that the number answering in the affirmative is  4 is mathematically represented as

       [tex]P(X = 4) =  ^{6}C_4 *  (0.72)^4 *  (1- 0.72)^{6-4}[/tex]

=>     [tex]P(X = 4) = 0.31599[/tex]

   Generally the probability that the number answering in the affirmative is At least two is mathematically represented as

     [tex]P(X  \ge 2) =  1 -  P( X <  2 ) [/tex]

     [tex]P(X  \ge 2) = 1- [ P(X =  0 ) + P( X = 1)] [/tex]

=>  [tex]P(X  \ge 2) = 1- [ [ 1 *  1 * 0.00048 ]+ [ 6 * 0.72 * 0.00172] [/tex]

=>    [tex]P(X  \ge 2) = 1- [ 0.00791 ] [/tex]

=>    [tex]P(X  \ge 2) = 0.9921  [/tex]

f(x) = x2 – 2x +1
Find y-intercept and vertex

Answers

Answer:

Your answer is: The x-intercept is [tex](1 , 0)[/tex] and your y-intercept is[tex](0 , 1 )[/tex].

Your vertex is [tex](1 , 0)[/tex]

Step-by-step explanation:

In order to find the y-intercept you had to to find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y.

In order to find the vertex you had rewrite the equation in vertex form and use this form to find the vertex [tex](h , k)[/tex].

Hope this helped : )

please help!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Find the value of x 105 150 135 125 140 135 x​

Answers

By using the fact that the sum of the interior angles is 900°, we will find that the value of x is 110.

How to find the value of x?

We know that for a figure of N sides, the sum of the interior angles gives:

S = (N - 2)*180°

In this case, we have 7 sides, then the sum of the interior angles gives:

S = (7 - 2)*180° = 5*180° = 900°

Adding the 7 angles we get:

105° + 150° + 140° + x° + 135° + 125° +135° = 900°

790° + x° = 900°

x° = 900° - 790°

x = 110°

The value of x is 110.

Learn more about interior angles:

https://brainly.com/question/24839702

#SPJ1

What is the answer, I need one quick!

Answers

Answer:

13, 106 and 254

Step-by-step explanation:

What is the point- slope equation of the line through the point (-5, 5) that is perpendicular to the line whose equation is y= (5/3)x + 2? URGENT

Answers

Slope=-3/5. BBC be C. Be c. Be. C be

If 4% of a number is 8, find 1% of that number.


How do I solve this problem?

Answers

Answer:

2

Step-by-step explanation:

First, find the number by dividing 8 by 0.04

8/0.04

= 200

Then, find 1% of 200 by multiplying it by 0.01:

200(0.01)

= 2

So, 1% of the number is 2.

Answer:

The answer is 2

Step-by-step explanation:

4%x5=20% and 8x5=40, 20%x5=100% and 40x5=200 and 1% means you move the decimal to the left twice so it is 2, my explanation  might be wrong but I know my answer is correct:

)

X⁴ - 2x³- 11x² + 30x - 20 entre x² + 3x - 2

Answers

What is the question to simplify??

0.21875 km is ___ % of 1750 m.​

Answers

Answer:

12.5%

Step-by-step explanation:

0.21875km=218.75m

218.75m×100÷1750m=12.5%

Does this equation have no solution, one solution, or infinite number of solutions x=y-3 2x-2y=-6

Answers

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Alg I

Solving systems of equations by substitution/elimination

Step-by-step explanation:

Step 1: Define systems

x = y - 3

2x - 2y = -6

Step 2: Solve for y

Substitute:                              2(y - 3) - 2y = -6Distribute 2:                            2y - 6 - 2y = -6Combine like terms:              -6 = -6

Here we see that -6 does equal -6. Therefore, any value y would work as a solution. Hence, this systems of equations has an infinite amount of solutions.

Rebekah has $400 to spend on a video game system and games. The system cost $289.99 and each game costs $32.29. How many games can she buy with the game system?


A. No more than 2 games

B. No more than 3 games

C. No more than 4 games

D. No more than 5 games

PLEASE HELP FAST!!!!!!!

Answers

Answer:

B) No more than three games

Step-by-step explanation:

est $290+32=322

322+32+32=$386

386+32=418 (which is over price)

Answer:

B. no meor than three games

Step-by-step explanation:

400.00 - 289.99 = 110.01

110.01 - 32.29 = 72.72 (1 game)

72.27 - 32.29 = 45.43 (2 games)

45.43 - 32.29 = 13.14 (3 games)

13.14 left over

HELP CALCULUS 25 POINTS

Answers

Answer:

A.) Max at x = 6 and Min at x = -6

Step-by-step explanation:

We say that f(x) has a relative (or local) maximum at x=c if f(x)≤f(c) f ( x ) ≤ f ( c ) for every x in some open interval around x=c . We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on.

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