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taurus [48]
3 years ago
9

Which combination of transformations can you use to show that one shape is congruent to another?

Mathematics
2 answers:
motikmotik3 years ago
5 0
<span>otations and translations. two shapes are congruent to each other if they have the same size and shape. dilations and stretches affect the size and shape of shapes, and so cannot be used</span>
UNO [17]3 years ago
3 0

rotations and translations is your answer.

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Which number is between 8.270 and 8.280
Nezavi [6.7K]

Answer:

8.275

Step-by-step explanation:

8.280 - 8.270 = 0.010

0.010/2 = 0.005

8.270 + 0.005 = 8.275

8 0
2 years ago
Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund
ser-zykov [4K]

<u>Testing the hypothesis</u>, it is found that since the <u>p-value of the test is 0.0042 < 0.01</u>, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

At the null hypothesis, it is tested if the <u>proportion is of 0.5</u>, that is:

H_0: p = 0.5

At the alternative hypothesis, it is tested if the <u>proportion is different of 0.5</u>, that is:

H_1: p \neq 0.5

The test statistic is given by:

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

In which:

  • \overline{p} is the sample proportion.
  • p is the value tested at the null hypothesis.
  • n is the sample size.

In this problem, the parameters are given by:

p = 0.5, n = 483 + 398 = 881, \overline{p} = \frac{483}{881} = 0.5482

The value of the test statistic is:

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

z = \frac{0.5482 - 0.5}{\sqrt{\frac{0.5(0.5)}{881}}}

z = 2.86

Since we have a <u>two-tailed test</u>(test if the proportion is different of a value), the p-value of the test is P(|z| > 2.86), which is 2 multiplied by the p-value of z = -2.86.

Looking at the z-table, z = -2.86 has a p-value of 0.0021.

2(0.0021) = 0.0042

Since the <u>p-value of the test is 0.0042 < 0.01</u>, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

A similar problem is given at brainly.com/question/24330815

3 0
3 years ago
Plssssssss help plsssssss
AlladinOne [14]

Answer:

x\leq 5, close circle on 5 and place the arrow to the left

Step-by-step explanation:

x+7\leq 12

subtract 7 on both sides to isolate the variable

x\leq 5

6 0
3 years ago
The graph shows the relationship between the number of cars horns Sally heard and the amount of time that has passed since midni
MariettaO [177]
She heard 22 car horns in 11 hours.
3 0
3 years ago
Read 2 more answers
The sum of three consecutive odd integers is 165. what are they
Sveta_85 [38]
N+(n+2)+(n+4)=165
add everything together to get 
3n+6=165
Subtract 6 from each side
3n=159
divide by 3
n=53
the numbers are 53,55,57
7 0
3 years ago
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