The ground temperature at an airport is 16 °C. The temperature decreases by 5.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Write equation

5x - 2(x + 1) = 1/4

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

5(3/4) - 2(3/4 + 1) = 1/4

15/4 - 2(7/4) = 1/4

15/4 - 14/4 = 1/4

1/4 = 1/4

Answer:

no

Step-by-step explanation:

if they have the same side lengths, then neither of the squares were scaled up nor down. they're the same size, so they're just copies of each other

Step-by-step explanation:

The 16 possible permutations and their means are:

47, 47: μ = 47

47, 30: μ = 38.5

47, 28: μ = 37.5

47, 18: μ = 32.5

30, 47: μ = 38.5

30, 30: μ = 30

30, 28: μ = 29

30, 18: μ = 24

28, 47: μ = 37.5

28, 30: μ = 29

28, 28: μ = 28

28, 18: μ = 23

18, 47: μ = 32.5

18, 30: μ = 24

18, 28: μ = 23

18, 18: μ = 18

So the frequency distribution of the sample means is:

[tex]\left[\begin{array}{cc}Mean&Frequency\\18&1\\23&2\\24&2\\28&1\\29&2\\30&1\\32.5&2\\37.5&2\\38.5&2\\47&1\end{array}\right][/tex]

The mean of a dataset is the average value of the dataset.

The dataset is given as:

47, 30, 28 and 18

From the above dataset, we can see that the data elements are 4

The sample size is given as:

n = 2

So, the number of different samples is:

[tex]Samples = 4^2[/tex]

[tex]Samples = 16[/tex]

The 16 samples are: {(47,47), (47,30), (47,28), (47,18),(30,47), (30,30), (30,28), (30,18),(28,47), (28,30), (28,28), (28,18),(18,47), (18,30), (18,28), (18,18)}

The mean values of the above samples are: {47, 38.5, 37.5 , 32.5 , 38.5 , 30 , 29 , 24 , 37.5 , 29 , 28 , 23 , 32.5 , 24 , 23 , 18}

Rearrange in ascending order

18, 23, 23, 24, 24, 28, 29,29, 30, 32.5, 32.5, 37.5, 37.5, 38.5, 38.5, 47

So, the table of the sample means is:

Mean             Frequency

18                       1

23                      2

24                      2

28                      1

29                      2

30                      1

32.5                   2

37.5                   2

38.5                   2

47                       1

Total                 16

Read more about sample mean at:

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Answer:

$100

Step-by-step explanation:

If 1=$25, 2=$50, then 4*25=100 and 50*2=100

Answer:

Lisa's class because she has 24:12 and paul has 15:20

Answer:

Step-by-step explanation:

Rewrite the expression y^2/3 as a radical expression.

if n is a positive integer that is greater than x and a is a real number or a factor, then aˣ/ⁿ = [tex]\sqrt[n]{a^x}[/tex]

use the rule to convert y²/₃ to a radical

where a =, x =, and n =.

therefore, the radical expression is [tex]\sqrt[3]{y^2}[/tex]

Answer:

x=C-b

Step-by-step explanation:

Subtract b from both sides to get x alone.

Answer:

4 tickets cost $30

step by step:

15+7.50=22.5 (3 tickets)

22.5+7.50=30 (4 tickets)

Answer:yes

Step-by-step explanation:Y=x/2 because it goes through the origin

Answer:

0.16666666666

Answer:

0.16666667

Step-by-step explanation:

Answer:

0.25 = 25/100

=> 1/4

Therefore 1/4 is the rational form of 0.25 ,

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Thank You!

Answer:

not sure but 1/4

Step-by-step explanation:

0.25 = 25/100

1/4

Answer: 280

Step-by-step explanation:

100/30=3.(3)

3.(3)*84=280

Answer:

280

Step-by-step explanation:

Answer:

Expected Score (No Negative Marking) = 135 points

Expected Score (with penalty) = 130 points

Step-by-step explanation:

First we find no. of true false answered correctly:

True/False Correct = (Total No. of True/False)(Probability to correctly answer true/false)

True/False Correct = (25)(0.8)

True/False Correct = 20

Now, for points scored from true/false:

True/False Score = (True/False Correct)(Points for 1 True/False)

True/False Score = (20)(2)

True/False Score = 40 points

Now, we find no. of mcqs answered correctly:

MCQs Correct = (Total No. of MCQs)(Probability to correctly answer MCQs)

MCQs Correct = (35)(0.75)

MCQs Correct = 26.25 = 26

Now, for points scored from MCQs:

MCQ Score = (MCQs Correct)(Points for 1 MCQ)

MCQ Score = (26)(1)

MCQ Score = 26 points

Now, we find no. of fill in the blanks answered correctly:

Fill in the blanks Correct = (Total No. of Fill in the blanks)(Probability to correctly answer Fill in the blanks)

Fill in the blanks Correct = (35)(0.65)

True/False Correct = 22.75 = 23

Now, for points scored from true/false:

Fill in the blanks Score = (Fill in the blanks Correct)(Points for 1 Fill in the blanks)

Fill in the blanks Score = (23)(3)

Fill in the blanks Score = 69 points

So, the expected total score will be:

Expected Score = 40 points + 26 points + 69 points

Expected Score = 135 points

IN CASE OF PENALTY:

We know that:

Incorrect True/Flase = Total True/False - Correct True/False = 25 - 20 = 5

Therefore,

Total Penalty = (Incorrect True/False)(Penalty on one)

Total Penalty = (5)(- 1 points)

Total Penalty = - 5 points

Now, expected score will be;

Expected Score (with penalty) = 135 points - 5 points

Expected Score (with penalty) = 130 points

Answer:

5 hours

Step-by-step explanation:

3h5min+1h55min=5hours

Answer:

3+1=4

55+5=60

60 minutes make an hour

=5

Step-by-step explanation:

Answer:

-729, so x9

Step-by-step explanation:

-81×9=-729 hope it helps!

(-16)-10y=24

-10y=24+16

this steps has been cropped in the pic

so try to understand

hope you like the answer

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Answer:

$27, $30, $47, $1093, $1851

Step-by-step explanation:

The median is the middle number and the mean is the average. When averaging all the numbers above, you get 611 and the middle number is 47.

The possible data set is $27, $30, $47, $1093, and $1851.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

To create a data set of five freshmen students with the same mean and median as the surveyed college freshmen:

Arrange the five numbers in ascending order to create the data set.

For example, one possible data set is:

$27, $30, $47, $1093, $1851

The mean of this data set is (28+  40 + 47 + 1090 + 1850) / 5 = $611, which is the same as the mean of the surveyed college freshmen.

The median of this data set is 47, which is also the same as the median of the surveyed college freshmen.

Therefore, $27, $30, $47, $1093, and $1851 are the points of the data set.

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Answer:

5

Step-by-step explanation:

The answer is 5 I just used google.

Answer:

D. its all hope this helps :)

Step-by-step explanation:

Answer:

triangles 1 and 3 I'd say

Answer:

4x6=24

Since 24 is 4 times as many as six, it means 4x6 is 24.

Answer:

the answer is 0.00945

Answer:

0.00945g/mL

Step-by-step explanation:

Divide the mass / volume value by 1000

Answer:

[tex]ab + c = d \\ ab = d - c \\ b = \frac{d - c}{a} [/tex]

Answer:

226

Step-by-step explanation:

Answer:

None of these points form a right triangle.

Step-by-step explanation:

IF YOU'RE TRYING TO FIND IF THE POINTS FORM A RIGHT TRIANGLE, THIS SHOULD WORK.

5,5,3 Explantation: To first start things off, we know our hypotenuse is the longest side of the right triangle. Using this information, we know that 5*2( 5 squared) is 25 and that 3 squared is 9. Now we add these two points and we get 34. (Don't forget to square the other side.) Now we have 34=25 which is not true sooo we know the points given do not form a RIGHT triangle.

The same goes with the other points. Once you solve them, neither of them form a right triangle. (Don't forget that we use a*2 + b*2=c*2) (The c should be the biggest point given!)

Hope this helps, if you have any questions please feel free to ask! :)

Answer:

D because if you remove the song there will be no more numberrs which is the opposite.

Situations A, C and D are the correct answers.

From the options, we need to check the situations opposite to 80.

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

Now,

Situation A: An aeroplane descends 80 m, this can be represented in integer form as -80.

Situation B: An elevator ascends 80 m, this can be represented in integer form as 80.

Situation C: The cost of a train ticket drops by $80, which can be represented in integer form as -80.

Situation D: You remove 80 songs from an iPhone, which can be represented in integer form as -80.

Situation E: Suzy's grandmother is 80 years old, which can be represented in integer form as 80.

Therefore, situations A, C and D are the correct answers.

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Answer:

Maggie is 7 years old

Step-by-step explanation:

Attached is an image that explains the question. Hope this helps!