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Alina [70]
9 months ago
15

A plane takes off at 12:50 pm from a place airport. It is landed at another airport at 2:05pm how long was the flight? ​

Mathematics
2 answers:
Fynjy0 [20]9 months ago
6 0
13 hours and 15 minutes
Nezavi [6.7K]9 months ago
4 0

Answer: 13 hours and 15 minutes

Step-by-step explanation:

Assuming that they are in the same time zones, you would

Convert the 12:50pm into 12:50am by adding 12 hours

Now just add the time from 12:50 to 2:05, which is 1 hour and 15 minutes

All together it equals 13 hours and 15 minutes.

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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
The sum of two numbers is 59 and the difference is 15 . what are the numbers?
UkoKoshka [18]
Write a system of equation based on the number
For an instance, the two numbers are a and b.
"The sum of two numbers is 59" can be written as follows.
⇒ a + b = 59  <em>(first equation)
</em>"The difference is 15" can be written as follows.
⇒ a - b = 15  <em>(second equation)</em>

Solve the system of equation by elimination/substitution method.
First, eliminate b to find the value of a.
a + b = 59
a -  b = 15
--------------- + (add)
2a     = 74
  a     = 74/2
  a     = 37

Second, substitute 37 as a in one of the equations
a + b = 59
37 + b = 59
b = 59 - 37
b = 22

The numbers are 37 and 22
5 0
3 years ago
1) Give 5 examples of a difference of two perfect squares
Katyanochek1 [597]

ᴀɴsᴡᴇʀ:

<u>1.Example, x²-25 can be factored as (x+5)(x-5).</u>

<u> </u>

<u>2.This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).</u>

<u> </u>

<u>3.When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).</u>

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs!

☞︎︎︎ᴄᴀʀʀʏ ᴏɴ ʟᴇᴀʀɴɪɴɢ☜︎︎︎

8 0
2 years ago
Is 2/3 equal to 2/4 ? if not is it greater
Dimas [21]

Answer:

Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

Step-by-step explanation:

5 0
2 years ago
Absolute value of +4 and -2
Greeley [361]

Answer:

4 and 2

Step-by-step explanation:

3 0
3 years ago
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