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3 years ago

A TV production warehouse can assemble 120 TV’s in 4 hours. How long does it

Mathematics

1 answer:

nirvana33 [79]3 years ago

7 0

$\huge\boxed{2\ \text{minutes}}$

First, convert the number of hours to minutes.

$4*60=240$

Now, divide by the number of TVs assembled in that time.

$240\div 120=\boxed{2}$

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Classify the triangle by it's angels and sides. Explain how you knew which classifications to use. 8, 70 degrees, 11, 45 degrees

anzhelika [568]

The angles degrees are all less than 90 degrees. Therefore the triangle is an acute triangle

7 0

3 years ago

to find the area of a trapezoid dylan uses the formula A=1/2 (B1+B2)h the bases have lengths of 3.6 cm and 12 1/3 cm. the height

Artemon [7]

Answer:

It is irrational because it can not be represented as a fraction of two integers

Step-by-step explanation:

Given

$B_1 = 3.6$

$B_2 = 12\frac{1}{3}$

$H = \sqrt[3]5$

Required

Why is the area irrational?

First, we need to calculate the area

$Area = \frac{1}{2}(B_1 + B_2) * H$

$Area = \frac{1}{2}(3.6 + 12\frac{1}{3}) * \sqrt[3]5$

$Area = \frac{1}{2}(3.6 + \frac{37}{3}) * 17100$

$Area = \frac{1}{2}(\frac{10.8+37}{3}) * 1.710$

$Area = \frac{1}{2}(\frac{47.8}{3}) * 1.7100$

$Area = \frac{47.8}{6} * 1.7100$

$Area = \frac{47.8* 1.7100}{6}$

$Area = \frac{81.738}{6}$

$Area = 13.623$

<em>It is irrational because it can not be represented as a fraction of two integers</em>

5 0

3 years ago

This is the example my teacher used. However, I still don't understand what makes the integers even or odd. I was hoping someone

kow [346]

Answer:

<h2>Here's what makes an integer odd:</h2>

It is NOT a multiple of 2.

When divided by 2, the quotient would be a decimal or have a remainder or fraction.

<h2>Here's what makes an integer even:</h2>

It is a multiple of 2.

When divided by 2, the quotient has a whole number.

<em>The odd numbers from one to 10 are: 1, 3, 5, 7, 9.</em>

<em>The even numbers from one to 10 are: 2, 4, 6, 8, 10. </em>

With big numbers, if it ends with any of the odd numbers from one to ten, listed above, it would be odd. This goes for the same with even.

An odd number and even number has a pattern....

[odd, even, odd, even, odd...] [1, 2, 3, 4, 5]

So, if x was an odd number, adding it by 2, 4, 6, etc. will result in another odd number.

Here's an example:

$x= 17\\x + 2 = ?\\(17) + 2 = 19$

<em>See how x is an odd number and the sum of the number and two makes another odd number? </em>

The same can go with an even number:

$x=2\\x + 6 = ?\\(2) + 6= 8$

<em>See how x is an even number and the sum of the number and six makes another even number? </em>

I hope my answer helps you understand even and odd numbers.

6 0

3 years ago

Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two pop

nlexa [21]

Answer:

The value of the test statistic is $z = 1.78$

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

$\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8$