Which choice represents the best rational approximation for <br> square root of 35?

Why one half of two equals one whole

WINSTONCH [101]

Because....

of means *

1/2* 2= 2/2 reduce it

you will get one

4 0

4 years ago

Read 2 more answers

Carter went shopping for a new pair of pants. Sales tax where he lives is 3.75%. The

Brums [2.3K]

Answer:

$37.35

Step-by-step explanation:

You find the sales tax by turning 3.65% to 0.0375. Then you multiply that by 36. Then you will get 1.35. You add 1.35 to 36 and get your answer of $37.35.

7 0

3 years ago

the shorter side of a rectangle is 60% of the longer side and the perimeter of the rectangle is 96 inches. find the side lengths

navik [9.2K]

Answer:

Length of the rectangle:

$x = \frac{4800}{106} = \frac{2400}{53}$

Breadth of the rectangle:

$60\%(x) = \frac{60}{100} \times \frac{4800}{106} \: \: \: \: \: \: \: \: \: \: \: \\ =60 \times \frac{48}{106} \\ = \frac{2880}{106}$

Step-by-step explanation:

Longer side of the rectangle(length) = x

Shorter side of the rectangle(breadth) = (60%)x

Perimeter of the rectangle = 2(l+b) = 96 inches

Hence,

$96 = 2(x + 60\%(x))$

$96 = 2(x + \frac{6}{100 } x)$

$96 = 2( \frac{100}{1 00} x + \frac{6}{100} x)$

$96 = 2( \frac{106}{100} x)$

$96 = \frac{106}{50} x$

$96 \div \frac{106}{50} = x$

$96 \times \frac{50}{106} = x$

$\frac{4800}{106} = x$

4 0

3 years ago

Two students in different classes took the same math test. Both students received a

ivann1987 [24]

Answer:

Both students scored in the top 10% of their classes.

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.

In this question:

Top 10% = Above the 100 - 10 = 90th percentile.

The 90th percentile of scores is X when Z has a pvalue of 0.9, that is, Z = 1.28.

So, the student who had a z-score above 1.28 scored in the 90th percentile of their class.

In student A's class the mean was 78 and the standard deviation of 5. He scored 87.

We have that $\mu = 78, \sigma = 5, X = 87$