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dybincka [34]
2 years ago
9

Cristina uses a ruler to measure the length of her math textbook. She says that the book is 4/10 meter long. Is her measurement

in simplest form? If not, what is the length of the book in the simplest form?

Mathematics
1 answer:
givi [52]2 years ago
5 0

Answer:

2/5

Step-by-step explanation:

in 4/10, both the numerator (4) and denominator (5) are multiples of 2, as 4 = 2 * 2 and 10 = 2 * 5. thus, we can divide both the numerator and denominator by 2 to get

(4/2) / (10/2) = 2/5 as our answer.

You might be interested in
A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed wi
Sergeeva-Olga [200]

Answer:

The lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 50

We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.06.

P(X > x)  = 6% = 0.06

P( X > x) = P( z > \displaystyle\frac{x - 500}{50})=0.06  

= 1 - P( z \leq \displaystyle\frac{x - 500}{50})=0.06  

=P( z \leq \displaystyle\frac{x - 500}{50})=1-0.06=0.94  

Calculation the value from standard normal z table, we have,  

P(z < 1.555) = 0.94

\displaystyle\frac{x - 500}{50} = 1.555\\x = 577.75  

Hence, the lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.

5 0
3 years ago
Select the correct answer.
Brums [2.3K]

Answer:

5 4/9

Step-by-step explanation:

Convert a mixed number 2 19

to a improper fraction: 2 1/9 = 2 19 = 2 · 9 + 19 = 18 + 19 = 199

To find new numerator:

a) Multiply the whole number 2 by the denominator 9. Whole number 2 equally 2 * 99 = 189

b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19

c) Write a previous answer (new numerator 19) over the denominator 9.

Two and one ninth is nineteen ninths

Add: 19

9+ (-29) = 19 + (-2)9= 179

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 9) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - nineteen ninths plus minus two ninths = seventeen ninths.

Conversion a mixed number 3 59

to a improper fraction: 3 5/9 = 3 59= 3 · 9 + 59= 27 + 51 = 329

To find new numerator:

a) Multiply the whole number 3 by the denominator 9. Whole number 3 equally 3 * 99 = 279

b) Add the answer from previous step 27 to the numerator 5. New numerator is 27 + 5 = 32

c) Write a previous answer (new numerator 32) over the denominator 9.

Three and five ninths is thirty-two ninths

Add: the result of step No. 2 + 32

9= 179+ 329 = 17 + 329 = 499

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 9) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - seventeen ninths plus thirty-two ninths = forty-nine ninths.

7 0
2 years ago
Determine if the statement is possible(p) or impossible(i).
Nastasia [14]

Answer: Yes, it's possible

Step-by-step explanation:

53+118+9=180

5 0
1 year ago
Evaluate the expression: |8| - 2 x |-3| + 4<br><br> 22<br> 10<br> 42<br> 6
JulsSmile [24]

Answer:

−6x+12

Step-by-step explanation:

3 0
3 years ago
What is the answer to 5x-7=13
liubo4ka [24]

Answer:

x=4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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