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VashaNatasha [74]
3 years ago
9

PLS I NEED HELP WITH MY EXAM

Mathematics
2 answers:
insens350 [35]3 years ago
7 0

g

Step-by-step explanation:

Neporo4naja [7]3 years ago
5 0

Answer:

F. a1 = –5, an = 5an-1

Step-by-step explanation:

a1 = -5                    <---- Answer

r = -25/-5 = 5

an =  r(an - 1)

an =  5(an - 1) <---- Answer

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
Using the number line above, select the number that would be the opposite of Point T.
iris [78.8K]

Answer:-9

Step-by-step explanation:

7 0
3 years ago
How do i find the volume of a cone with a radius of 9ft and a height of 24ft​
ycow [4]

Answer: V≈2035.75ft³

That is a small 3 after ft

HOPE THIS HELPS

8 0
2 years ago
The area of a rectangle court is 433.37 Square meters and the length of the court is 28.7 meters . What is width of the court?
Eduardwww [97]

Answer:

w=15.1m

Step-by-step explanation:

l=28.7

A=433.37

7 0
3 years ago
Order the numbers from least to greatest. 3 63/80 , 3 1/5 , 3 11/20
gregori [183]

Let's compare apples to apples and oranges to oranges: convert each given proper fraction into its decimal counterpart:

3 63/80 => 3 .788 approx.

3 1/5 => 3.2

3 11/20 => 3.55

It's now an easy matter to arrange these numbers from least to greatest:

3.2, 3.55, 3.79, or

3 1/5, 3 11/20, 3 63/80


7 0
3 years ago
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