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rewona [7]
4 years ago
14

Directions for constructing the centroid of a triangle? ​

Mathematics
1 answer:
Aleksandr-060686 [28]4 years ago
3 0

Step-by-step explanation:

1.Draw a triangle

2. Measure one of the sides of the triangle

3. Place a point at the midpoint of one of the sides of the triangle.

4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.

5. Repeat steps 2-4 for the remaining two sides of the triangle.

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Two lawn care companies are competing for a landscaping contract. Company A charges a $5 daily consulting fee plus $8 per square
gladu [14]
5 + 8s = 15 + 3s
8s - 3s = 15 - 5
5s = 10
s = 10/5
s = 2 <=== they will charge the same at 2 sq ft
8 0
3 years ago
Lifetime of $1 Bills The average lifetime of circulated $1 bills is 18 months. A researcher believes that the average lifetime i
OLEGan [10]
<h2>Answer with explanation:</h2>

Let \mu be the population mean lifetime of circulated $1 bills.

By considering the given information , we have :-

H_0:\mu=18\\\\H_a:\mu\neq18

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the lifetime of circulated $1 bills is normally distributed.

Given : Sample size :  n=50 , which is greater than 30 .

It means the sample is large so we use z-test.

Sample mean : \overline{x}=18.8

Standard deviation : \sigma=2.8

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{18.8-18}{\dfrac{2.8}{\sqrt{50}}}\approx2.02

The p-value= 2P(z>2.02)=0.0433834

Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.

6 0
3 years ago
An object moves along a coordinate axis so that its position at time t is given by s(t)=t3. Estimate its instantaneous velocity
Mademuasel [1]

If the position at time <em>t</em> is

<em>s(t)</em> = (1 m/s³) <em>t</em> ³

then the average velocity over <em>t</em> = 2 s and <em>t</em> = 2.001 s is

<em>v</em> (ave) = (<em>s</em> (2.001 s) - <em>s</em> (2 s)) / (2.001 s - 2 s)

<em>v</em> (ave) = ((1 m/s³) (2.001 s)³ - (1 m/s³) (2 s)³) / (2.001 s - 2 s)

<em>v</em> (ave) ≈ (8.01201 m - 8 m) / (0.001 s)

<em>v</em> (ave) ≈ 12.006 m/s

6 0
3 years ago
Ryan Reynolds saw a coat was marked down 40 percent during a sale. If the original price was $150, what was the sale price of th
drek231 [11]
Hello!

To calculate the sale price of the coat, we can simply multiply 150 by .40, then subtract the product from 150.

150 × .40 = 60
150 - 60 = 90

The sale price of the coat is $90.

4 0
3 years ago
Read 2 more answers
Which equation should be used to graph y=sec^-1(x) on a calculator ?
erastova [34]
Arcsecant or arcsec or sec⁻¹ is an inverse trigonometric function. And many calculators don't have a key for them because they can be calculated with basic trigonometric functions like so:

sec⁻¹(x)=cos⁻¹(1/x). 

So the correct answer is the fourth one: y=cos⁻¹(1/x).
4 0
3 years ago
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