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Iteru [2.4K]
3 years ago
13

Figure ABC is reflected over the x-axis to obtain figure A′B′C′ below: Triangle ABC is located on the coordinate plane with vert

ex A at negative 5 comma 4, vertex B at negative 2 comma 4, and vertex C at negative 4 comma 1. Triangle A prime B prime C prime is located with vertex A prime at negative 5 comma negative 4, vertex B prime at negative 2 comma negative 4, and vertex C prime at negative 4 comma negative 1. Which statement best describes the relationship between the two figures? (5 points) Figure ABC is bigger than figure A′B′C′. The measure of angle A is equal to the measure of angle B′. The measure of angle C is equal to the measure of angle B′. Figure ABC is congruent to figure A′B′C′.
Mathematics
2 answers:
Gala2k [10]3 years ago
6 0

Answer:

Figure ABC is congruent to figure A′B′C′.

Step-by-step explanation:

I just did the test and got it right

Brut [27]3 years ago
4 0

D - Figure ABC is congruent to figure A′B′C′.

Step-by-step explanation

took the test

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The manager of the quality department for a tire manufacturing company wants to study the average tensile strength of rubber use
Alika [10]

Answer:

p_v =P(z>z_{calc})=0.067  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis at 10% of significance.

So then the answer would be

a. true

Step-by-step explanation:

Data given and notation  

\bar X represent the sample mean

\sigma represent the population standard deviation

n sample size  

\mu_o =800 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

z 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 check if the mean is less or equal than 800 for the null hypothesis:  

Null hypothesis:\mu \leq 800  

Alternative hypothesis:\mu > 800  

The z statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-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) and we assume that she got a calculated value z_{calc}

P-value

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

p_v =P(z>z_{calc})=0.067  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis at 10% of significance.

So then the answer would be

a. true

3 0
4 years ago
Solve with solution...no spam answers pls
Agata [3.3K]
<span>Let's analyze Hannah's work, step-by-step, to see if she made any mistakes. 

</span>In Step 1, Hannah wrote \dfrac{d}{dx} (-3+8x) <span> as the sum of two separate derivatives </span>\dfrac{d}{dx}(-3)+ \dfrac{d}{dx} (8x) <span>using the </span><span>sum rule.
</span>
This step is perfectly fine. 

In Step 2, \dfrac{d}{dx}(8x) was kept as it is, and \dfrac{d}{dx}(-3) was rewritten as 0 using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.

This step is perfectly fine. 

In Step 3, \dfrac{d}{dx} (8x)  was rewritten as \dfrac{d}{dx}(8) \dfrac{d}{dx}(x) supposedly using the constant multiple rule.

The problem is that according to the constant multiple rule, \dfrac{d}{dx}(8x)&#10; should be rewritten as 8 \dfrac{d}{dx}(x) and not as \dfrac{d}{dx}(8)\dfrac{d}{dx}(x).  

<span>Therefore, Hannah made a mistake in this step.</span>
6 0
4 years ago
Read 2 more answers
When x=12 and y=8.Find x when y=12
V125BC [204]
I hope this helps you

6 0
3 years ago
A box contains 5 plain pencils and 7 pens. A second box contains 4 color pencils and 4
Savatey [412]
5:7 (pencils to pens)

7/12 chance that a pen from the first box will be selected.

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4/8 = 1/2 chance that a crayon from the second box will be selected.

The probability of picking both:

7/12 * 1/2 = 8/24 = 1/3



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3 years ago
What is the simplified form ofthe seventh root of x times the seventh root of x times the seventh root of x?
balandron [24]
\sqrt[7]{x} * \sqrt[7]{x} * \sqrt[7]{x}= \sqrt[7]{ x^{3} }
Thank you.
5 0
3 years ago
Read 2 more answers
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