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2 years ago

The graph of △UVW has coordinates U(−4, 2) , V(−1, 1) , and W(−5, −4) .

Mathematics

2 answers:

sesenic [268]2 years ago

7 0

Answer:

U(-1,3)

V(2,2)

W(-2,-3)

Step-by-step explanation:

ELEN [110]2 years ago

3 0

I’ve marked the translated triangle with the points U1, V1 and W1. To find the new point, you can always add three to the x-coordinates and add one to the y-coordinates.

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The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope

elena55 [62]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the average life of light bulbs.

As per given , we have

Null hypothesis : $H_0 : \mu =5400$

Alternative hypothesis : $H_a : \mu >5400$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : $z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=95,\ \overline{x}=5483\ \&\ \sigma=500$ , we have

$z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180$

Using z-value table , Critical one-tailed test value for 0.06 significance level :

$z_{0.06}=1.5548$

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0

4 years ago

Hey can you please help me posted picture of question

sasho [114]

The correct answer is option D.

F(G(x)) denotes the composition of the two functions F(x) and G(x). The composition of two functions result in x, if the two functions are inverses of each other. So in this case F(x) and G(x) will be the inverse of each other. So option D is the correct answer.

7 0

3 years ago

Filomena applies the commutative property to the product. (7/15)⋅(−11)⋅(30) Which expression illustrates the commutative propert

dedylja [7]

The commutative property is a number property where the answer obtained is the same no matter the position of the numbers you are multiplying together.