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Nady [450]
2 years ago
10

The idea of a rigid motion is a significant concept in geometry. Explain what a rigid motion is and why it is important. Using t

he diagram below identify the specific rigid motions used for the following shapes.
Mathematics
1 answer:
Paraphin [41]2 years ago
8 0

Answer:

a rigid motion does not affect the overall shape of an object but  moves an object from a starting location to an ending location the resultant figure in cogruent to the original figure.a rigged motionis when an  object is  moved  from one location to another  and the size and shape have not changed.hope it helps :)

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Solve the equation for a. K=4a+9ab
Solnce55 [7]

Answer:

a = K/ 4 + 9 b

Step-by-step explanation:

Hope this helped!...

5 0
3 years ago
It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele
kow [346]

Answer:

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

Step-by-step explanation:

1) Data given and notation      

\bar X=23500 represent the sample mean  

s=3900 represent the sample standard deviation      

n=100 sample size      

\mu_o =2000 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the true mean is higher than 20000, the system of hypothesis would be:      

Null hypothesis:\mu \leq 2000      

Alternative hypothesis:\mu > 2000      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

Calculate the P-value      

First we need to calculate the degrees of freedom given by:  

df=n-1=100-1=99  

Since is a one-side upper test the p value would be:      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

8 0
3 years ago
7 and a number equals 21​
torisob [31]

Answer:

7x3=21

Step-by-step explanation:

7+7+7=21, 7x3=21

5 0
2 years ago
It took the Farhats 85 minutes to drive 102 miles. If they this same driving rate, how long will it take them (in minu get to th
STALIN [3.7K]

Answer:

255 minutes

Step-by-step explanation:

306 can be subtracted by 102 a total of 3 times. We know that for every 102 miles = 85 minutes. So 85 * 3 = 255.

8 0
3 years ago
WILL MARK BRAINLIEST!! 5 POINTS!!
Anton [14]
The speed of the car per minute is 3,520 feet (choice c). This is because in order to solve the problem, you have to convert 40 mi/h into feet. Since there are 5,280 feet per mile, you have to do 5,280 x 40, which is 211,200, which is the number of feet per hour. But, the question is asking for ft/min. There are 60 minutes in an hour, so you divide 211,200 by 60, which is 3,520. So, the speed of the car per minute is 3,520 feet.
5 0
3 years ago
Read 2 more answers
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