All categories

2 years ago

Alana paid $54 for a set of 6 ice-skating lessons. She also paid $29.80 for a pair of ice skates.

Mathematics

1 answer:

Sladkaya [172]2 years ago

6 0

Answer:

Answer is in explanation

Step-by-step explanation:

1ST STEP:

54÷6=9 (one ice skating lesson)

2ND STEP:

$29.80-$9=$____ (FINAL ANSWER)

Hope this helped

You might be interested in

Suppose you want to know how fast you traveled from the park to the library. As you moved, your speed varied from second to seco

frutty [35]

Step-by-step explanation:

In order to describe speed of an object, we must describe the average speed of the entire trip. It is equal to the distance moved divided by time taken.

If a person covers a distance of 1 km to the library in 15 minutes, we can find its average speed.

Firstly, we convert 15 minutes to hour, 15 min = 0.25 hours

Now, using formula of speed = distance/time

$v=\dfrac{1\ km}{0.25\ h}\\\\v=4\ km/h$

It means that the average speed of the person is 4 km/h. Hence, the given statement is true.

6 0

2 years ago

A. Describe the connection of the pattern of outcomes to Pascal’s triangle.

pychu [463]

Answer:

The answer to the question is;

A. The pattern of outcomes of 0 heads, 1 head, 2 heads ... n heads when arranged in the Pascal's triangle is given by the row of the triangles with the lowest at the edges and highest outcome in the middle potion of the rows in the Pascal's triangle.

B. The number of total possible outcomes in a row n is 2ⁿ.

Step-by-step explanation:

To solve the question, we note that.

Pascal's triangle is an important sequence of numbers formed by starting with 1 at the top of the triangle followed by 1s on the outer edges of the triangle and the numbers directly below two adjacent numbers is the sum of the two adjacent numbers.

In probability theory, such as in throwing a coin, Pascal's triangle indicates the number of possible heads obtained when n number of coins is thrown, that is, 0 heads, 1 head 2 heads etc. as follows

Number of coins Possible head outcome Total outcome

0 coin 1 1

1 coin 1 1 2

2 coins 1 2 1 4

3 coins 1 3 3 1 8

4 coins 1 4 6 4 1 16

The above triangle means that when

0 coin is flipped, the number of 0 heads is 1

1 coin is flipped, the number of 0 heads is 1 (T) and 1 head is 1 (H)

2 coins are flipped, the number of 0 heads is 1, (TT), 1 head is 2 (TH), (HT) and 2 heads is 1 (HH)

3 coins are flipped 0 heads = 1 (TTT), 1 head = 3, (TTH), (THT), (HTT), the number of 2 heads = 3, (HHT), (HTH), (TTH) and the number of 3 heads = 1, (HHH).

B. The pattern in the number of total possible outcomes is

1, 2, 4, 8, 16 which is =2 raised to the power of the number of coin tossed for a particular row as follows

Number of coin tossed = 0 = 2⁰ = 1 = Total possible outcome

Number of coin tossed = 1 = 2¹ = 2 = Total possible outcomes

Number of coin tossed = 2 = 2² = 4 = Total possible outcomes

Number of coin tossed = 3 = 2³ = 8 = Total possible outcomes

Number of coin tossed = 4 = 2⁴ = 16 = Total possible outcomes

Therefore total number of possible outcome = 2ⁿ where n = number of coins tossed.

6 0

3 years ago

1) Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later, what is the total amount

aksik [14]

Answer:

Step-by-step explanation:

we calculate how much 0.3% is from 3280

y=3280*0.3/100=9.84$

months in 9y

12*9=108

the interest of 9y

108y=1062.72$

the sum of interest + the money borrowed

1062.72+3280=4342.72$

6 0

2 years ago

Read 2 more answers

The number of nails of a given length is normally distributed with a mean length of 5 in and a standard deviation of 0.03 find t

umka2103 [35]

Answer:

19 nails

Step-by-step explanation:

Let's first determine the z-score by using the formula:

$z=\frac{x-\mu}{\sigma}$

Where x=5.03, μ=5, σ=0.03 and so:

$z=\frac{5.03-5}{0.03}=1$

We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%. This means that 84.13% of the nails are less than or equal to 5.03 inches long. Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587. This means that 15.87% of the 120 nails are greater than 5.03 inches long.

Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

$120 \times 0.1587 \approx 19$