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Masteriza [31]
3 years ago
11

Why is the image of a figure after a translation is congruent to its preimage

Mathematics
1 answer:
zaharov [31]3 years ago
6 0

"Translation" means "move it to a different place".

When you buy a hula-hoop or a frisbee and take it home from the store,
its shape doesn't change.  And when you leave home in the morning and
move yourself to school, your shape and size don't change.

Translation does not change the shape or the size of a figure.  All of its
sides and angles are still the same as they were in the original location.
Wherever it may go, it's still congruent to the picture of it that you took
before it moved.

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A store sells small notebooks for $7 and large notebooks for $10 if a student buys 6 notebooks and spends $51 how many of each s
Finger [1]
He bought 3 small notebooks (3*7=21) and 3 large notebooks (3*10=30)
21+30=51
5 0
3 years ago
Read 2 more answers
In a study of the accuracy of fast food drive-through orders, McDonald’s had 33 orders that were not accurate among 362 orders o
melomori [17]

Answer:

A. We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B. Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

C. z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D. z_{\alpha/2}=-1.96  z_{1-\alpha/2}=1.96

E. Fail to the reject the null hypothesis

F. So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.  

Step-by-step explanation:

Data given and notation

n=362 represent the random sample taken

X=33 represent the number of orders not accurate

\hat p=\frac{33}{363}=0.0912 estimated proportion of orders not accurate

p_o=0.10 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

A: Write the claim as a mathematical statement involving the population proportion p

We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B: State the null (H0) and alternative (H1) hypotheses

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

When we conduct a proportion test we need to use the z statistic, 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.

C: Find the test statistic

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

z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D: Find the critical value(s)

Since is a bilateral test we have two critical values. We need to look on the normal standard distribution a quantile that accumulates 0.025 of the area on each tail. And for this case we have:

z_{\alpha/2}=-1.96  z_{1-\alpha/2}=1.96

P value

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=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z  

E: Would you Reject or Fail to Reject the null (H0) hypothesis.

Fail to the reject the null hypothesis

F: Write the conclusion of the test.

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.  

6 0
3 years ago
the acceleration of an object due to gravity is 32 feet per second squared.what is acceleration due to gravity in inches per sec
seropon [69]
It may e should be 2
8 0
3 years ago
At​ most, how many one sixth 1 6​-inch-long pieces of string can you cut from a two thirds 2 3​-inch-long piece of​ string?
bija089 [108]
2\3 23-1\6 16
2\3-1\6=5\6
23-16=7
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4 0
3 years ago
Find the slope of a ski run that descends 15 feet for every horizontal change 24 feets
Diano4ka-milaya [45]

Answer: 5/8


Step-by-step explanation:


Slope is determined by dividing the amount of vertical movement by the amount of horizontal movement and then simplifying the answer. In this case it is 15/24. To simplify you need to find the least common denominator (LCD), which is 3, and divide both numbers by it. 15/3=5 and 24/3=8, so the answer is 5/8.


7 0
3 years ago
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