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3 years ago

Could you build a triangle from each of the 3 lengths?

1 answer:

7 0

To form a triangle the sum of the two shorter sides must be greater than the longest side.
5, 5, 3 forms a triangle (isosceles)
8, 8, 8 forms a triangle (equilateral)
5, 6, 10 forms a triangle (obtuse angled scalene)

7, 8, 15 technically forms a triangle with an area of zero units. The vertices would be co-linear.
This will often be ignored as it has little practical use.

Fun fact. If you break a stick into 3 random lengths there is only a 25% chance they will be able to form a triangle.

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For each of the following hypothetical studies, identify the primary caution each researcher should have when drawing conclusion

Citrus2011 [14]

Answer:

Ecological correlation

Step-by-step explanation:

According to a different source, the options that come with this question are:

Ecological correlation
Extrapolation
Lurking variable
Influential observation

Sarah should be careful about the use of an ecological correlation. An ecological correlation describes two variables that are group means, as opposed to a correlation between two variables that describe individuals. In this case, Sarah did pick 75 random students in each state. However, she then obtained the height and weight means for each state, and proceeded to compare these. Therefore, Sarah is not comparing individual values, but means. It is important to notice this, because correlations at a group level can be much higher than those at the individual level.

5 0

4 years ago

What is the slope? Bbcxsfjf

umka21 [38]

Answer:

The slope is 1 and the y intercept is 1

8 0

3 years ago

A manufacturing plant earned $80 per man hour of labor when it opened. Each year, the plant earns an additional 5% per man hour.

Mekhanik [1.2K]

Answer:

The amount that plant earns per man hour after (t) years it open is $80 $(1.05)^{\textrm t}$ .

Step-by-step explanation:

Given as :

The earning of manufacturing plant when it opened = $ 80 per man hour

The rate of plant earning per man hour = 5 %

Let The earning of plant after t years = A( t )

So,

The earning of plant after t years = initial earning × $(1+ \dfrac{\textrm rate}{100})^{\textrm Time}$

Or, A(t) = $ 80 × $(1+ \dfrac{\textrm 5}{100})^{\textrm t}$

or, A(t) = $ 80 × $(1.05)^{\textrm t}$

Hence The amount that plant earns per man hour after (t) years it open is $80 $(1.05)^{\textrm t}$ . Answer

3 0

3 years ago

Read 2 more answers

1. Ada purchased a house using a fixed rate mortgage. The annual interest rate is 6.3%

vlabodo [156]

The monthly payment on the mortgage is option C) $2537.44

Step-by-step explanation:

Principal (P): $ 295,000
Rate (r): 6.3% = 0.063
Number of times compounded (n): 12months $\times$ 15 years = 180
Number of years = 15

The formula is A = P(1 + r/n)^nt

⇒ A = 295000(1+0.063/180)^(180 $\times$ 15)

⇒ A = 295000(180.063/180)^2700

⇒ A = 295000 (1.00035)^2700

⇒ A = 758854.5

Interest = Amount - Principle

⇒ 758854.5 - 295000

⇒ Interest = 463854.5

∴ The monthly payment for 15 years = 463854.5 / (15 $\times$ 12)

The monthly payment on the mortgage = 2576.9 (approximately option C)

8 0

3 years ago

I don't understand number 8

Norma-Jean [14]

Let's try plugging in some negative numbers. Let's do x=-1. 5+-1=4. So we know that if we put in a negative number for x, then n will be positive. But what if we do a number greater than -5, because 5+-5=0. So let's try x=-6. So 5+(-6)=-1. Hmm. So here it is. We know that any number under -5 will be positive and any number above -5 will be negative.

8 0

3 years ago