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Katyanochek1 [597]
3 years ago
12

What is the value of y?

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0

Answer:

y = 40°

Step-by-step explanation:

Hi !

2y + (y + 10) + 50° = 180°

3y = 180° - 50° - 10°

3y = 120°

y = 120° ÷ 3

y = 40°

Good luck !

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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
PLEASE HELP! I. NEED. HELP. ASAP
kotykmax [81]

Just do 30%x179,000 and that will be the answer the equation is V (for value) V=53,700t

8 0
3 years ago
GUYS PLEASE HELP ME IM REALLY STUCK
Nastasia [14]

Answer:

(-0.5, 0.5)

Step-by-step explanation:

midpoint formula:

[(x₁ + x₂) / 2] , [(y₁ + y₂) / 2]

[(9/2 - 11/2) / 2], [(3/8 + 5/8) / 2]

[(-1) / 2], [(1) / 2]

(-0.5, 0.5)

6 0
3 years ago
What sets does -3 belong to?
olya-2409 [2.1K]
-3 belongs to integers.
4 0
3 years ago
Read 2 more answers
Solve v = 1/3 bh for b the base of the cone
Viefleur [7K]

Answer:

<h2>b =  \frac{3v}{h}</h2>

Step-by-step explanation:

<h3>v =  \frac{1}{3} bh</h3>

First of all multiply through by 3

That's

<h3>3v =  \frac{1}{3}  \times bh</h3>

We have

<h3>3v = bh</h3>

Divide both sides by h to make b stand alone

That's

<h3>\frac{bh}{h}  =  \frac{3v}{h}</h3>

We have the final answer as

<h3>b =  \frac{3v}{h}</h3>

Hope this helps you

3 0
3 years ago
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