X + y = 0

Mike and Beth both write the decimal 0.8 (0.88888...)as a fraction. Mike: 45 Beth: 89 Which student wrote the correct fraction?

fenix001 [56]

Answer:

see the explanation

Step-by-step explanation:

we have

0.888...

This is a <u>repeating decimal</u> (Is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending)

Convert to fraction number

Let

x=0.888...

10x=8.888...

Subtract 0.888... from 8.888... to remove the decimal

10x-x=8.888...-0.888...

9x=8

Solve for x

x=8/9

therefore

Mike fraction is incorrect

because 4/5=0.8

0.8 is a <u>terminating decimal </u>(It's a decimal with a finite number of digits)

Mike's mistake was considering the number as a terminating decimal instead of a repeating decimal

Beth is correct

because

If you divide 8/9

the result is 0.8888888...

3 0

3 years ago

How to find corrosponding angles of 2 triangles

Ahat [919]

Find the other angles then take the two angles of one triangle and take it away from 180. All the angles in an triangle add up to 180 degrees.

8 0

3 years ago

Kelly lives 2 miles away from school. Harry closer to the school than Kelly. Which could be the distance that harry lives from s

riadik2000 [5.3K]

Answer:

D. 3,461

Step-by-step explanation:

There are 3520 yards in two miles and 3,461 yards is less than 3,520... meaning that he lives closer to the school.

3,461 < 3,520

3 0

3 years ago

The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approxi

bazaltina [42]

Answer:

$425.6 should be budgeted for weekly repairs and maintenance.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean $400 and standard deviation $20.

This means that $\mu = 400, \sigma = 20$

How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?

This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{X - 400}{20}$

$X - 400 = 20*1.28$

$X = 425.6$

$425.6 should be budgeted for weekly repairs and maintenance.

6 0

3 years ago

For each real number x, f(x) is defined to be the smallest of the values of 2x + 3, 3x - 2 and 25 - x. What is the maximum value

BigorU [14]

9514 1404 393

Answer:

17 2/3

Step-by-step explanation:

A calculator or spreadsheet can figure this. The maximum of f(x) is found where 3x-2 intersects 25-x.

2x +3 = 25 -x

3x = 22

x = 22/3 = 7 1/3

25 -7 1/3 = 17 2/3 . . . . maximum value of f(x)

_____

Note in the graph that the slope of f(x) decreases at about x=5. The expression with the lower positive slope is 2x+3. So, it is that expression that must equal the expression with the negative slope.

8 0

3 years ago