81 as a mixed number simplified

Karen wants to find the surface area of this prism.

andrew11 [14]

Ft2 (squared) hope it helps

3 0

3 years ago

6y+4−3y−7=3(y−1) How many solutions are for this?

Kryger [21]

Answer:

Infinite amount of solutions.

General Formulas and Concepts:

Order of Operations: BPEMDAS
Regular + Equality Properties

Step-by-step explanation:

Step 1: Define equation

6y + 4 - 3y - 7 = 3(y - 1)

Step 2: Solve for y

Combine like terms: 3y - 3 = 3(y - 1)
Distribute 3: 3y - 3 = 3y - 3
Subtract 3y on both sides: -3 = -3

Here we see that there will be infinite amount of solutions. We can plug in any number y and it will render the equation true.

8 0

3 years ago

Read 2 more answers

Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total

IgorLugansk [536]

The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.

<h3>Word problems</h3>

According to the task content;

The total distance covered running and cycling per day is; 20miles

Additionally, she cycles a total of 105 miles each week.

From the statement above; it follows that;

The number of miles she cycles per day since 7 days make a week is;

105/7 = 15.

Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.

On this note, it follows that;

r = 20 -15 = 5.

Hence, The solution is 5, which represents the number of miles she runs each day.

Read more on word problems;

brainly.com/question/21405634

4 0

2 years ago

What is the third quartile of this data set? 21,24,25,28,29,35,37,39,42

tangare [24]

Answer:

121.5

Step-by-step explanation:

Find the mean of the last 4 numbers.

8 0

3 years ago

A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while

bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = Number of bottles in the sample that are not within specification.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....$