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Sati [7]
3 years ago
8

45°,35°,x° please answer my question

Mathematics
1 answer:
Bingel [31]3 years ago
3 0
A triangles measure = 180
45 + 35 + x = 180
80 + x = 180
x = 100
Hope this helps!
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Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorab
Katyanochek1 [597]

Answer:

(a) Customer will not purchase the light bulbs at significance level of 0.05

(b) Customer will purchase the light bulbs at significance level of 0.01 .

Step-by-step explanation:

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected,  and the following information obtained:

Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.

Let Null hypothesis, H_0 : \mu = 750 {means that the true average lifetime is same as what is advertised}

Alternate Hypothesis, H_1 : \mu < 750 {means that the true average lifetime is smaller than what is advertised}

Now, the test statistics is given by;

       T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 738.44 hours

               s  = sample standard deviation = 38.2 hours

               n = sample size = 50

So, test statistics = \frac{738.44-750}{\frac{38.2}{\sqrt{50} } } ~ t_4_9

                            = -2.14

(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.

(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.

6 0
3 years ago
HELP 20 POINTS PLZ RAHHHH
schepotkina [342]

Answer:

answer is option D : 42m+12

7 0
3 years ago
Please answer the question .
Vsevolod [243]

Answer:

The answer is A.

Step-by-step explanation:

I'm very sorry if this is wrong but A would make the most sense. the formula y=mx+b. m is the slope, and b is the y-intercept so A is the most reasonable.

If this helped you I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

3 0
3 years ago
Joe makes $13.35 an hour. If Joe works 40 hours in one week, how much would he earn for the week?
Lelechka [254]

Answer:

534

Step-by-step explanation:

multiply 13.45 by 40 and you will get 534

6 0
3 years ago
11760825 in word form
crimeas [40]
The answer would be <span>eleven million seven hundred sixty thousand eight hundred twenty five 

</span>
4 0
3 years ago
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