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Crank
3 years ago
7

Find the area of the trapezoid

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

Answer:

16 cm²

Step-by-step explanation:

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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
Pls please help me ASAP!!!
oksian1 [2.3K]

Answer:

z = 0

Step-by-step explanation:

3 (z + 7) = 21

3z + 21 = 21

3z = 0

z = 0

8 0
3 years ago
What's the area of this shape?
Aliun [14]

Answer:

The area of this shape is 16 square feet.

Step-by-step explanation:

7 0
3 years ago
What is the theme of the poem "Queen of the Cats"?
4vir4ik [10]

Answer:

Isu has a cat named Bashet. This one of the many names of the goddess Bast, queen of cats. He has siamese-type traos; his body has a ply tan ned hair, while his legs, tail, face and ears are so dark brown. Brown gradually blends into the most plida color. The cat just a normal cat, but Isu treats it with special reverence

Step-by-step explanation:

8 0
3 years ago
What is the value of x?
Rashid [163]

Answer:

X=98°

Step-by-step explanation:

53° + 45° = 98

98-180= 82

every triangle is always equal o 180°

so...   53°+ 45°+ 82° = 180

to find x you need to subtract 82 from 180 which is 98

<em>remember its important to find the inner degree before the outer.</em>

7 0
3 years ago
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