(Irrational Numbers LC)

Katy's favorite rides at the amusement park are the roller coasters and water slide. The wait time for the roller coaster is 25

ioda

Answer:

She went on the slide 8 times and on the roller coaster 4 times

Step-by-step explanation:

We convert each statements to a mathematical equation.

Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.

Mathematically, R + S = 12. ........(i)

Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.

To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.

Mathematically, 25R + 10S = 180 .......(ii)

Here we now have two equations that we can solve simultaneously.

From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:

25(12 - s) + 10s = 180

300 - 25s + 10s = 180

300 - 15s = 180

15s = 300 - 180

15s = 120

S = 120/15

S = 8

S = 8 , and R = 12 - S = 12 - 8 = 4

7 0

3 years ago

BRAINLIEST ASAP! PLEASE HELP ME :)

avanturin [10]

Answer:

1.) BC, AD, FI.

2.) Parallel.

Step-by-step explanation:

I can't get the other two I'm sorry mate like I really gotta go. Before my mum gets mad. Got chores. Good luck.

6 0

3 years ago

Boxes of raisins are labled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is re

kati45 [8]

Answer:

The 99 % confidence interval on the basis of mean is ( 21.7393 ; 22.0257)

Step-by-step explanation:

Mean = Sum of observations / Number of observations

Mean = 21.88 +21.76 +22.14 +21.63+ 21.81 +22.12+ 21.97+ 21.57+ 21.75+ 21.96 +22.20 +21.80/ 12

Mean =x`= 262.59/12= 21.8825

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

∑x²/n= 478.7344 +473.4976 + 490.1796+467.8569+ 475.6761 + 489.2944+ 482.6809+ 465.2649+ 473.0625+ 482.2416 +492.84 + 475.24/ 12

∑x²/n= 5746.5689/12= 478.8807 = 478.881

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

s= 478.881- (21.8825)²= 478.881-478.843= 0.037

The confidence limit 99% for the mean will be determined by

x` ± α(100-1) √s/n

Putting the values in the above equation

= 21.8825 ± 2.58 √0.037/12

Solving the square root

= 21.8825 ± 2.58 (0.05549)

Multiplying the square root with 2.58

=21.8825 ± 0.1432

Adding and subtracting would give

21.7393 ; 22.0257,

Hence the 99 % confidence interval on the basis of mean is ( 21.7393 ; 22.0257)

5 0

3 years ago

Tina and Tracey are putting 70 things from their present lives into a few boxes, and they are going to bury the boxes so they ca

vlada-n [284]

number of full boxes is 2

things left over is 10

6 0

3 years ago

Read 2 more answers

Help! Please. I don’t know what I did wrong.

Debora [2.8K]

Answer:

1320, permutation

Step-by-step explanation:

There are 12 members

Pick a president

We have 12 choices

Now there are 11 people left to pick from

now pick a vp

We have 11 choices

Now there are 10 people left to pick from

now pick a secretary

We have 10 choices

12*11*10 = 1320

This is a permutation since it matters who is president, vp and secretary

6 0

3 years ago