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NeX [460]
3 years ago
10

the ground trmperature at abc airport is 5°F for every 500 feet gained in altitude the temperature outside the plane drops 1.6°F

. at an altitude of 3,000 feet, what will be the likely outside temperature?
Mathematics
2 answers:
nikklg [1K]3 years ago
8 0
Temp. at base = 5°F
Now,
So, temperature at x height =
5 - (x/500)1.6
So, at 3000 ft
= 5 - (3000/500)1.6
= 5 - (6)1.6
= 5 - 9.6
= - 4.6 °F
AnnyKZ [126]3 years ago
6 0
Multiply 1.6 by 6 (you find six because it's for every 500 feet, and you went 3000), this equals 9.6. That's the change in temperature. So 5-9.6=-4.6. At 3000 feet the temperature is -4.6°F.
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The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv
Rina8888 [55]

Answer:

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=14.42 represent the sample mean

\mu population mean (variable of interest)

\sigma=6.95 represent the population standard deviation

n=36 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

5 0
3 years ago
In Buffalo, New York, the temperature was 10°F in the morning. If the temperature rose 10°F, what is the temperature now?
Bond [772]

Answer:

20 degrees F

Step-by-step explanation:

4 0
3 years ago
The speed of light is approximately 299,000,000 meters per second.
jek_recluse [69]

Answer:

2.99 x 10⁸ meters per second

Step-by-step explanation:

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To <u>convert</u> a number into <u>scientific notation</u>, move the decimal point to the left or right until there is <u>one digit before the decimal point.</u>

The number of times you have moved the decimal point is the power of 10 (n).

If the decimal point has moved to the <u>left</u>, the power is <u>positive</u>.

If the decimal point has moved to the <u>right</u>, the power is <u>negative</u>.

<u>To convert the given number to scientific notation</u>

The decimal point for the given number 299000000 is after the last zero:

⇒  299000000.

Move the decimal point 8 places to the left:  

⇒ 2.99000000

Get rid of the redundant zeros:

⇒ 2.99

Multiply by 10 to the power of the number of decimal places moved:  

⇒ 2.99 x 10⁸

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7 0
2 years ago
Factor Completely 5v^2-5v-100
bogdanovich [222]

5 {v }^{2}  - 5v - 100 \\  = 5( {v}^{2}  - v - 25) \\  = 5({v}^{2}   + 4v - 5v - 20) \\  = 5[v(v + 4) - 5(v + 4)] \\  = 5(v - 5)(v + 4)

4 0
3 years ago
Read 2 more answers
A bag contains yellow marbles and red marbles, 23 in total. The number of yellow marbles is 4 less than 2 times the number of re
Orlov [11]
First let’s express the total number of marbles as such:
y(yellow marbles) + r(red marbles)=23; y+r=23

now let’s express the relation of yellow marbles to red marbles:
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since we figured out what y equals, we can plug into the first equation we created:
(2r-4)+r=23

now solve for r:
2r-4+r=23
combine like terms
3r-4=23
add 4 to both sides
3r=27
divide both side by 3
r=9

plug r back into first equation and solve for y:
y+9=23
subtract 9
y=14

there are 9 red marbles and 14 yellow marbles!


3 0
3 years ago
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