What is the code of this math puzzle (amount of Miles)

Hernan cuts a board that is 7/10 of a meter long After the cut the board is 3/10 of a meter long how long is the piece that he c

Darina [25.2K]

Given that original lenght of the board before cut $= \frac{7}{10}$ meter

Lenght of the board that is left after cutting from the original piece by Hernan $= \frac{3}{10}$ meter

Now we have to find the lenght of the piece which is cut.

To find that we just need to subtract smaller piece from larger piece

Required Length $= \frac{7}{10}-\frac{3}{10}$ meter

Required Length $= \frac{7-3}{10}$ meter

Required Length $= \frac{4}{10}$ meter

reduce the fraction

Required Length $= \frac{2}{5}$ meter

Hence final answer is $\frac{2}{5}$ meter.

7 0

3 years ago

Read 2 more answers

Eva, the owner of eva's second time around wedding dresses, currently has five dresses to be altered, shown in the order in whic

cupoosta [38]

To answer this question, an assumption must be made, that Eva spends 8 hours a day working. If this is the case, then Eva will complete jobs w, x, and v on day one, for a total of six hours. Since the next job (y) requires 4 hours, she will spend two hours working that day, leaving 2 more hours to go on that job. The next day she will spend 2 hours finishing job y, completing it, and finish the longest job z (hours) that day. This means she had 4 jobs on day one, and 2 jobs on day 2 for and average of 3 jobs per day.
This answer assumes an 8 hour work day, and that Eva can start a job she cannot finish that day.

5 0

3 years ago

janelle has $75. She buys jeans that are discounted 30% and then uses an in-store coupon for $10 off the discounted price. After

kicyunya [14]

If you want to the know the total price of the jeans, with discount coupon and sales tax then it's $15.76

$75 x 0.30 = $22.50

$22.50 - $10 = $12.50

$12.50 + $3.26 = $15.76

7 0

3 years ago

A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately

Genrish500 [490]

Answer:

a) 0.057

b) 0.5234

c) 0.4766

Step-by-step explanation:

a)

To find the p-value if the sample average is 185, we first compute the z-score associated to this value, we use the formula

$z=\frac{\bar x-\mu}{\sigma/\sqrt N}$

where

$\bar x=mean\; of\;the \;sample$

$\mu=mean\; established\; in\; H_0$

$\sigma=standard \; deviation$

N = size of the sample.

So,

$z=\frac{185-175}{20/\sqrt {10}}=1.5811$

$\boxed {z=1.5811}$

As the sample suggests that the real mean could be greater than the established in the null hypothesis, then we are interested in the area under the normal curve to the right of 1.5811 and this would be your p-value.

We compute the area of the normal curve for values to the right of 1.5811 either with a table or with a computer and find that this area is equal to 0.0569 = 0.057 rounded to 3 decimals.

So the p-value is

$\boxed {p=0.057}$

b)

Since the z-score associated to an α value of 0.05 is 1.64 and the z-score of the alternative hypothesis is 1.5811 which is less than 1.64 (z critical), we cannot reject the null, so we are making a Type II error since 175 is not the true mean.

We can compute the probability of such an error following the next steps:

Step 1

Compute $\bar x_{critical}$