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mina [271]
3 years ago
6

A hexagon can be divided into how many triangles by drawing all of the diagonals from one vertex?

Mathematics
2 answers:
ki77a [65]3 years ago
4 0
A. 4 triangles are formed

Readme [11.4K]3 years ago
4 0

Answer:

4 triangles are formed.

Step-by-step explanation:

Given a hexagon that can be divided into triangles by drawing all of the diagonals from one vertex.

we have to find the number of triangles formed.

As shown in attachment if we a diagonals from one vertex then only 3 diagonals are drawn which results into 4 triangles.

Hence, 4 triangles are formed by drawing all of the diagonals from one vertex.

Hence, option A is correct.

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Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
sveticcg [70]

Answer:

Step-by-step explanation:

12=3x-2y

2y+12=3x

2y=3x-12

y=(3x-12)/2

y=mx+b

To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be

y=1.5x+b, using point (7,10) we can solve for the y intercept or b

10=1.5(7)+b

10=10.5+b

b=-0.5 so our line is

y=1.5x-0.5

5 0
3 years ago
Can someone pls help me with this question?
JulsSmile [24]

Answer:

c

Step-by-step explanation:

I think so I might not be right but I'm sure it's c

8 0
3 years ago
A sample survey is designed to estimate the proportion of sports utility vehicles being driven in the state of California. A ran
mart [117]

Answer:

a) The 95% confidence interval would be given (0.070;0.121).

b) "increase the sample size n"

"decrease za/2 by decreasing the confidence"

Step-by-step explanation:

Notation and definitions

X=48 number of vehicles classified as sports utility.

n=500 random sample taken

\hat p=\frac{48}{500}=0.096 estimated proportion of vehicles classified as sports utility vehicles.

p true population proportion of vehicles classified as sports utility vehicles.

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

(a) Use a 95% confidence interval to estimate the proportion of sports utility vehicles in California. (Round your answers to three decimal places.)

The confidence interval would be given by this formula :

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.5=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

And replacing into the confidence interval formula we got:

0.096 - 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.070

0.096 + 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.121

And the 95% confidence interval would be given (0.070;0.121).

We are confident (95%) that about 7.0% to 12.1% of vehicles in California are classified as sports utility .  

(b) How can you estimate the proportion of sports utility vehicles in California with a higher degree of accuracy? (HINT: There are two answers. Select all that apply.)

For this case we just have two ways to increase the accuracy one is "increase the sample size n" since if we have a larger sample size the estimation would be more accurate. And the other possibility is "decrease za/2 by decreasing the confidence" because if we decrease the confidence level the interval would be narrower and accurate

7 0
3 years ago
Complete the sentence.<br> 32% of 25 is<br> I need all the help I can get!
garik1379 [7]
25x32/100 =8
good luckkk
5 0
3 years ago
Read 2 more answers
-4i+ 3i= i- 8+ 3i- 12
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

-4i+3i=i-8+3i-12

-i=4i-20

20=4i+i

20=5i

20/5=i

4=i

4 0
3 years ago
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