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Anika [276]
3 years ago
12

What is the order of rotational symmetry for the figure?

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
3 0

Answer:

Order of rotational symmetry is 6.

Step-by-step explanation:

The number of positions the object looks the same in a 360-degree rotation is known as order of symmetry.

In the given figure, we have 3 line bisecting each other at a point which is the center of the rotation.

Now, we have 6 segments, each segment have a triangle in clockwise direction. All triangles are congruent.

It means central angle divided in 6 equal parts.

\dfrac{360^{\circ}}{6}=60^{\circ}

It means after each 60 degrees we get the same figure.

Since, 6 times the positions of figure looks the same in a 360-degree rotation, therefore, the number of rotational symmetry for the figure is 6.

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How do u convert 12 years to hours
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Answer:

the answer is 105120

Step-by-step explanation:

24 hours in a day, 365 days in a year. 365 multiplied by 24 equals 8760 multiply that by 12 equals 105120

5 0
3 years ago
How many times can 5 go into 312
vivado [14]


62 times because 62X5 is 310 so it would leave you with 2 left over which will lead you to a fraction, remainders, or decimals


8 0
3 years ago
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A salesperson at a jewelers store earns 5% commission each week. Last week, heidi sold $530 worth of jewelry. How much did she m
V125BC [204]

Answer:

the salesperson earned 5% which is; $26.5 then subtract 26.5 from the total made to find out how much the store made which is: $503.5

Step-by-step explanation:

5 0
2 years ago
The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 1700 vot
lara [203]

Answer:

z=\frac{0.66 -0.63}{\sqrt{\frac{0.63(1-0.63)}{1700}}}=2.562  

p_v =P(z>2.562)=0.0052  

So the p value obtained was a very low value and using the significance level given \alpha=0.02 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that at 2% of significance the proportion of voters that favored construction is higher than 0.63 or 63%.

Step-by-step explanation:

Data given and notation

n=1700 represent the random sample taken

\hat p=0.66 estimated proportion of voters that favored construction

p_o=0.63 is the value that we want to test

\alpha=0.02 represent the significance level

Confidence=98% or 0.98

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that percentage of residents who favor construction is more than 63%.:  

Null hypothesis:p \leq 0.63  

Alternative hypothesis:p > 0.63  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.66 -0.63}{\sqrt{\frac{0.63(1-0.63)}{1700}}}=2.562  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.02. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.562)=0.0052  

So the p value obtained was a very low value and using the significance level given \alpha=0.02 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that at 2% of significance the proportion of voters that favored construction is higher than 0.63 or 63%.

7 0
3 years ago
Y A chemist can purchase a 10% saline solution in 500 cubic centimeter containers, a 20% saline solution in 500 cubic centimeter
Nonamiya [84]

Step-by-step explanation:

ultimately you need to end up with 30% solution

with 10%, 20%, and 50%, you are forced to tamper with the various percentages to reach the desired goal.

Since it is an even 12,000 (i.e. no 12500) and you have no hard container volumes to deal with, therefore find the easiest combination to reach 30%. In this case, (10%+50%)/2 = 30%

So therefore you need 12000 cubic centimeters of liquid, half of it being 50% and half being 10%.

12000/2 = 6000 cubic centimeters each

for 50%, each container is 1,000 cubic centimeters, so 6000/1000 =6 containers  for 10% each container is 500 cubic centimeters, so 6000/500 = 12 containers

Therefore, you need 6 containers of 50% solution and 12 containers of 10% solution.

7 0
3 years ago
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