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3 years ago

What is the answer for 5/2 and it is equal to 1/3

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

Answer:

5/2=2.5, while 1/3= aprox 0.333, therefore 5/2 is not equal to 1/3.

Step-by-step explanation:

Here is the long division table for 5/2

2. 5 0 0

2 5. 0 0 0

− 4

1 0

− 1 0

0 0

− 0

0 0

− 0

Here is the long division table 1/3 ( to three decimal places)

0. 3 3 3

3 1. 0 0 0

− 0

1 0

− 9

1 0

− 9

1 0

− 9

An easier way to do 5/2 is to think of 50/2, which is 25, and then add a decimal point, making it 2.5.

An easier way to do 1/3 is to think of it as one third (of one), or 0.333 repeating.

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it takes 1/2 of a box of nails to build a bird house if you wanted to build 5 bird houses how many boxes would you need

dedylja [7]

Answer:

You would need 2.5

Step-by-step explanation:

You can use a porportion to solve.

$\frac{.5}{1} = \frac{x}{5}$ (cross multiply and solve)

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4 years ago

A product comes in cans labeled "38 oz". A random sample of 10 cans had the following weights:

KiRa [710]

Answer:

b. 35.9, 39.1 ounces

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

barX=37.465 represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=2.27 represent the sample standard deviation

n=10 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

barX +- t*[(s)/(sqrt{n))] (1)

In order to calculate the critical value t we need to find first the degrees of freedom, given by:

df=n-1=10-1=9

Since the Confidence is 0.95 or 95%, the value of alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,9)".And we see that t_(alpha/2)=2.26

Now we have everything in order to replace into formula (1):

37.465-2.26[(2.27)/(sqrt{10))]=35.9

37.465+2.26[(2.27)/(sqrt{10))]=39.1

So on this case the 95% confidence interval would be given by (35.9;39.1)

7 0

4 years ago

A 76 foot piece of rope is cut into three pieces where one piece is three times longer than the other two equal pieces. How long

jonny [76]

Let the length of one of the shorter pieces be $\ell$ . Then, we know that two of the pieces are that length, and the third piece is $3 \ell$ . Since these are all pieces of a rope, all we need to do to figure out the lengths is add all those together, solve for $\ell$ , and then plug that back in to the desired lengths:

$3 \ell + \ell + \ell = 76 ft.$
$5 \ell = 76 ft.$
$\ell = 15.2 ft.$

Shorter pieces: $\ell = \bf 15.2 ft.$
Longer piece: $3 \ell = \bf 45.6 ft.$

4 0

4 years ago

A package of 5 pairs of insulated socks costs $33.95. What is the unit price of the pairs of socks?

Verizon [17]

Each sock costs$ 6.79

33.95÷5 =6.79

6.79 × 5 = 33.95

8 0

3 years ago

A manager records the repair cost for 4 randomly selected TVs. A sample mean of $88.46 and standard deviation of $17.20 are subs

WINSTONCH [101]

Answer:

a) The critical value is $z = 2.575$ .

b) The 99% confidence interval for the mean repair cost for the TVs is ($66.31, $110.61).

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ . This is our critical value

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

a. Find the critical value that should be used in constructing the confidence interval.

The critical value is $z = 2.575$ .

b. Construct the 99% confidence interval. Round your answer to two decimal places.

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. So, in this problem

$M = 2.575*\frac{17.20}{\sqrt{4}} = 22.15$

The lower end of the interval is the mean subtracted by M. So it is 88.46 - 22.15 = $66.31

The upper end of the interval is the mean added to M. So it is 88.46 - 22.15 = $110.61

The 99% confidence interval for the mean repair cost for the TVs is ($66.31, $110.61).

5 0

3 years ago