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2 years ago

Mrs.Gunn makes one costume in 3hours and 20 minutes. How long will it take her to make 6 costumes for a school play?

Mathematics

2 answers:

qaws [65]2 years ago

4 0

Answer:

20 hours

Step-by-step explanation:

Tpy6a [65]2 years ago

4 0

We can change the 3 hours and 20 minutes to "minutes" instead of hours:

1 hour is 60 minutes. So 3 hours is 60 * 3 = 180 minutes.

Add the 20 : 180 + 20 = 200 minutes for one costume.

Multiply by 6 for 6 costumes: 200 * 6 = 1200.

So 1200 minutes or 1200/60 = 20 hours to make 6 costumes

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Which geometric object is defined as the set of all points in a plane equidistant from a single point and a single line?

Reptile [31]

Answer: parabola

Step-by-step explanation:

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2 years ago

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A random sample from a normal population is obtained, and the data are given below. Find a 90% confidence interval for . 114 157

melamori03 [73]

Answer:

$103.160 \leq \sigma \leq 187.476$

And the upper bound rounded to the nearest integer would be 187.

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

Data given: 114 157 203 257 284 299 305 344 378 410 421 450 478 480 512 533 545

The confidence interval for the population variance $\sigma^2$ is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^{17} (x_i -\bar x)^2}{n-1}}$

And in order to find the sample mean we just need to use this formula:

$\bar x =\frac{\sum_{i=1}^n x_i}{n}$

The sample mean obtained on this case is $\bar x= 362.941$ and the deviation s=132.250

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=17-1=16$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a tabel to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,16)" "=CHISQ.INV(0.95,16)". so for this case the critical values are:

$\chi^2_{\alpha/2}=26.296$

$\chi^2_{1- \alpha/2}=7.962$

And replacing into the formula for the interval we got:

$\frac{(16)(132.250)^2}{26.296} \leq \sigma \leq \frac{(16)(132.250)^2}{7.962}$

$10641.959 \leq \sigma^2 \leq 35147.074$

Now we just take square root on both sides of the interval and we got:

$103.160 \leq \sigma \leq 187.476$

And the upper bound rounded to the nearest integer would be 187.

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2 years ago

Eight teams of high school students helped clean up trash in the community. Afterwards, they shared 23 pizzas equally. How many

USPshnik [31]

Answer:
each team got 2.875 pizzas

Explanation:
We are given that:
number of teams = 8 teams
number of pizzas = 23 pizzas
Now, these 23 pizzas will be divided equally among the 8 teams.
So, to get the amount that each team will get, all you have to do is divide 23 by 8 and get the result as follows:
amount that each team gets = 23/8 = 2.875 pizzas

Hope this helps :)

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2 years ago

Which of the following is a correct way to measure productivity? a. Divide the number of hours worked by the quantity of output.

11111nata11111 [884]

Answer:

b. Divide the quantity of output by the number of hours worked.

Step-by-step explanation:

<em>Since the ratio of the number of output to the number of hours worked shows the productivity. </em>

Thus, option (b) is correct.

Productivity is used to converting inputs into useful output. It measures the efficiency of a person, system, machine, factory, etc.

For Example: The employee who works less hours and assembled more radios has more productivity, that employee knows how to utilize time.

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2 years ago

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olchik [2.2K]

117 and 413 have no common denominator, so 117/413 is it's simplest form

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