An amusement park has 11 roller coasters. In how many ways can you choose 4 of the roller coasters to ride during your visit to the park?

Answers

Answer 1

Answer: 4!=4*3*2*1=24
11!=11*10*9*8*7*6*5*4*3*2*1=39916800
7!=7*6*5*4*3*2*1=5040
n choose k
how many ways are there to choose k rollercoasters from n choices?

$\left(\begin{array}{ccc}n\nk\end{array}\right)$ = $(n!)/(k!(n-k)!)$

$\left(\begin{array}{ccc}11\n4\end{array}\right)$ = $(11!)/(4!(11-4)!)$ = $(39916800)/(24(7)!)$ = $(39916800)/(24(5040))$ = $(39916800)/(120960)$ =330

330 ways

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Of 10 students surveyed in a school , 7 picked Summer as their favorite season. If the school has 350 students. How many can be expected to perfer summer?

Answers

Answer:

The expected number of students to prefer summer=245

Step-by-step explanation:

Step 1

Determine the number of students that prefer summer as their favorite season, and the sample size

number that prefer summer=7

sample size=10

Step 2

Determine the probability of a student picking summer as their favorite season as shown;

Probability=number that prefer summer/sample size

Probability=7/10=0.7

Step 3

Determine the total number of students out of the total population that can be expected to prefer summer as follows;

Expected number of students=probability×total number of students

where;

probability=0.7

total number of students=350

replacing;

Expected number of students=(0.7×350)=245

The expected number of students to prefer summer=245

Somebody help with 1& 2

Answers

Answer:

4. (d) option is correct because -7-(-5) = -7+5 ( Because - and - makes a plus .

Hope it does aid you .

Pls mark brilliant .

Why might algebra tiles not be a good tool to use to factor x2 + 18x + 80? Explain.

Answers

For the polynomial x² + 18x + 80, to represent using algebra tiles would be difficult because the number of tiles needed would be very plenty.

Polynomial

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Algebra tiles is the use of tiles to represent variables and constants.

Given the polynomial x² + 18x + 80, to represent using algebra tiles would be difficult because the number of tiles needed would be very plenty.

Find out more on Polynomial at: brainly.com/question/2833285

Answer:

Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

WARNING!!!!!!!

This is an sample response, so if u can put it in your own words.

Liam highlighted the columns in the multiplication table below to find equivalent ratios. A multiplication table. In the row labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the row labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. The same number goes into each box to make the two ratios below equivalent. StartFraction 4 Over blank EndFraction, StartFraction blank Over 36 EndFraction Which number goes into both boxes?A-6
B-9
C-12
D-18

Answers

9514 1404 393

Answer:

C-12

Step-by-step explanation:

You want to find n such that ...

$(4)/(n)=(n)/(36)\n\n4\cdot36=n^2\qquad\text{multiply by $36n$}\n\n√(4\cdot36)=n\n\n2\cdot6=\boxed{n=12}$

Answer:

Step-by-step explanation:

Took the test on edg I got 100%.

Giselle works as a carpenter and as a blacksmith. She earns $20\$20 $20 dollar sign, 20 per hour as a carpenter and $25\$25 $25 dollar sign, 25 per hour as a blacksmith. Last week, Giselle worked both jobs for a total of 3030 30 30 hours, and earned a total of $690\$690 $690 dollar sign, 690 . How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith? Giselle worked as a carpenter for hours and as a blacksmith for hours last week.

Answers

c = # of carpenter hrs , b = # of blacksmith hrs

c + b = 30...c = 30 - b
20c + 25b = 690

20(30 - b) + 25b = 690
600 - 20b + 25b = 690
-20b + 25b = 690 - 600
5b = 90
b = 90/5
b = 18 <== hrs worked as blacksmith

c + b = 30
c + 18 = 30
c = 30 - 18
c = 12 <== hrs worked as carpenter

Answer:

Carpenter: 12 hours and Blacksmith: 18 hour

Step-by-step explanation:

you are saving $30 each month. you have a goal to accumulate $700 in savings. how long will it take you?

Answers

$700 ÷ $30 = approximately 23 months

It will take you 23 1/3 months or rounding 23 months the way you get the answer is you is you divide the goal over the amount of money each month 700/30.

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