The depth of snow at seven different mountain lodges is 18 inches, 20 inches, 26 inches, 22 inches, 85 inches, 18 inches, and 24 inches. Find the mean, median, and mode. Which measure is the most useful for predicting how deep the snow will be at an 8th lodge?

Answers

Answer 1

Answer:

a) [tex]\=x=36.4inches[/tex]

b) [tex]Median=22[/tex]

c) [tex]Mode=18[/tex]

d) [tex]The\ Mean[/tex]

Step-by-step explanation:

From the question we are told that:

Depths:

18 inches,

20 inches

26 inches

22 inches

85 inches

18 inches

24 inches

Sample size [tex]n=7[/tex]

Summation of all depths

 [tex]\sum d=18+20+26+22+85+18+24[/tex]

 [tex]\sum d=255[/tex]

a)

Generally the equation for Mean is mathematically given by

 [tex]\=x=\frac{\sum d}{n}[/tex]

 [tex]\=x=\frac{255}{7}[/tex]

 [tex]\=x=36.4inches[/tex]

b)

Generally the Median is given by the Middle Number which is

 [tex]Median=22[/tex]

c)

Generally the Mode is given by the Highest occurring Number which is

 [tex]Mode=18[/tex]

with two appearances

Therefore

d)

The measure that is the most useful for predicting how deep the snow will be at an 8th lodge is

 [tex]The Mean[/tex]


Related Questions

how to write 0.12 repeating as a fractiom

Answers

Answer:

4/33

Step-by-step explanation:

do the normal steps to conversion

Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below

Answers

Answer:

Relationship: supplementary

B = 110

Step-by-step explanation:

The two angles shown form straight line

Angles that form a straight line add up to equal 180. Angles that add up to 180 are known as supplementary angles

If the angles add up to equal 180 then b + 70 = 180

Subtract 70 from both sides

b = 110

A positive
B negative
C none
D multiple

Answers

Answer:

Step-by-step explanation:

The letter c

please help me with this :)

Answers

Answer: 103 degrees

Step-by-step explanation: all angle of a regular triangle always add up to 180. so 62+15=77. and 180 - 77= 103

Answer:

A. 103 degrees

Step-by-step explanation:

In a triangle, the sum of angle measures is equal to 180 degrees, so by adding 62 & 15, & subtracting it from 180 you get the third angle measure of 103.

Write cos 29° in terms of sine.
Help pls :(

Answers

Answer:

0.48480962

Step-by-step explanation:

1. Take the sine of  29 ° .

sin ( 29 ° )

2. Evaluate  sin ( 29 ° ) .

0.48480962

How do you eat like I next to to eat and I can’t so how do I eat

Answers

I don’t know ....................

Answer:

I don’t get the question.

Step-by-step explanation:

It doesn’t make sense to me……….

nejsjsj show your working pls​

Answers

Answer:

[tex] V = U + at[/tex]

Step-by-step explanation:

Given the following data;

Initial velocity = 0 (since the stone is starting from rest).

Final velocity = 32 m/s

Acceleration = g = 10 m/s²

Time = 3.2 seconds

To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;

[tex] V = U + at[/tex]

Where;

V is the final velocity. U is the initial velocity. a is the acceleration. t is the time measured in seconds.

Substituting into the formula, we have;

[tex] 32 = 0 + 10*3.2[/tex]

[tex] 32 = 0 + 32 [/tex]

[tex] 32 = 32 [/tex]

Proven: 32 m/s = 32 m/s

Help needed!! Please help me solve my problem!!!

Answers

96/2= 48

given figure is a square.the line is bisect the angel

thank you

. In an enlargement with scale factor 2, which of the following statements is not true?
A. Each length is multiplied by 2
B. Each angle remains the same
C. The shape of the figure does not change.
D. The size of the figure does not change

Answers

Answer:

option B , C , D

Step-by-step explanation:

Enlargemet is a rule which transfers an object into an object of the same form by enlarging its size in a given ration.

Remember

If k > 1 , the given object is enlarged. Since the scale fator (k) is 2 and it is greater than 1 the size of the figure enlarges . So according to this definition option B , c and d are incorrect.

only option A satisfies . So out of all these statements only option A is true.

formula :

(x , y) = (kx , ky)   ( k means scale factor)

here scale factor is multiplied to the coordinate x and y.

since the scale factor is 2 it means that the length or the value of both x and y coordinate is multiplied by 2.So, it is true . And rest are not true.

What fraction of an hour is 45 minutes?
Give your answer in its simplest form.

Answers

Answer:

3/4

Step-by-step explanation:

1 hour is 60 minutes

45 minutes

---------------------

60 minutes

Divide top and bottom by 15

3

----

4

Please help out with this question!

Answers

Answer:

[tex]1. \: \: a = 4[/tex]

[tex]2. \: \: y = 16[/tex]

Step-by-step explanation:

[tex]1. \: \: a + 5 = 9[/tex]

[tex]a = 9 - 5[/tex]

[tex]a = 4[/tex]

[tex]2. \: \: y−4=12[/tex]

[tex]y=12+4[/tex]

[tex]y = 16[/tex]

Hope it is helpful....
Number one is a=4
step by step explanation:
Inverse operation of addition is subtraction.

a+5=9
-5 -5
a= 4
First thing you want to do is isolate “a”so you have to subtract 5 from both sides of the equation so you can be left with x alone. That will give you a=4

Number 2: is y=16

y - 4 =12
+ 4 +4
y= 16

In this equation the inverse operation of subtraction is addition. So instead of subtracting 4 by both sides of the equation like we did in number one… you will add 4 to both sides of the equation to cancel out the 4 and have “y” by it self.

Use the number line to find the measure of SV please help

Answers

Answer:

8

Step-by-step explanation:

count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length

Answer:

S= -7 to V= 1 so your answer is 8

The figure represents a doorstop in the shape of a triangular prism. What is the volume of the doorstop in cubic inches?​

Answers

Answer:

7 times 5

35

divided by two

17.5

times 3

52.5 cubic inch

a = 5
an + 1 = 24, -7

Answers

You need to use recursive sequence for this one
Answer: -9
I did it on my final exam. Just two days ago.

Find the quotient.the fraction
8 1/3 divided by 4 1/2​

Answers

Answer:

[tex]8 \frac{1}{3} \div 4 \frac{1}{2} = \frac{50}{27} = 1.851 = 1 \frac{23}{27} [/tex]

Out of 100 students,80 passed the science 71 the mathematics, 10 failed the both subjects and 7 did not appear the an examination.find the number of student who passed the both subject by representing th e above information in a Veen- diagram

Answers

Answer:

ok so first we add 10 plus 7 together since if you don't show up you fail

which is 17

so out of 100 students 17 failed both

now we subtract 71 from 80 to get 9

so we add that together with 17 so

17+9=26 so 26 students failed both

Hope This Helps!!!

In the diagram, the figures are similar. Use proportions to find x.

Answers

Answer:

x~11

Step-by-step explanation:

22:17=14:x

22/17=14/x

22x=17*14

22x=238

22x/22=238/22

x=238/22

x=10.818181818181818

x~11

Classify the following angles

Answers

--Answer--

1. acute

2. right

3. acute

4. obtuse

5. straight

--Explanation--

Acute angle = Greater than 0 °, Less than 90°

Right angle = 90°

Obtuse angle  = Greater than 90°, less than 180°

Straight angle = 180°

Answer:

A) Acute   B) Right     C) Obtuse      D) Obtuse      E) Flat/Straight

Step-by-step explanation:

Acute angles are angles less than 90°

Right angles are angles that are 90°

Obtuse angles are angles that are over than 90°

Flat/Straight angles are 180°

Please help and thank you!

Answers

Answer:

f(x) = 4*e^(0.05*x)

Step-by-step explanation:

We want to find the equation for the graph.

The first thing we can see, is that, as the value of x increases, also does the value of y.

So f(x) increases as x increases.

Then we can discard the options with negative exponents, as those decrease when x increases.

Then the remaining options are:

f(x) = 4*e^(0.05*x)

f(x) = 4*e^(0.5*x)

In the graph, we can see that:

f(5) ≈ 5

So let's check that with the two remaining options:

For the first one we have:

f(5) = 4*e^(0.05*5) = 5.13

While for the second option we have:

f(5) = 4*e^(0.5*5) = 48.73

Then the correct option is the first one:

f(x) = 4*e^(0.05*x)

A man was paid basic wage of 2.50. dollars a day.if he worked every day in the month, calculate his basic wage for February​

Answers

It would be around 490 hope this help

chadwick contributes 17% of his 68,000 annual salary to his 401(k)plan.What is his pre-tax income?

Answers

Therefore, Thus, Chadwick contributes $11,662 in 401(k)plan. Pretax earnings exclude taxes, therefore subtract $11,662 from his annual salary.Hence, his pre-tax income is $56,938

Prove that root 2 as irrational number​

Answers

To prove: √2 is an irrational number. Proof: Let us assume that √2 is a rational number. So it can be expressed in the form p/q where p, q are co-prime integers and q≠0. √2 = p/q. ...
Solving. √2 = p/q. On squaring both the side we get, =>2 = (p/q)2

Factorx^2 + x - 6, asappp

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {x}^{2} + x - 6[/tex]

➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]

Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have

➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]

Taking the factor [tex](x+3)[/tex] as common,

➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

What are the domain and range of f(x) = 2|x -4|?
plz i'm in need

Answers

Answer:

Domain: (-∞, ∞)

Range: [0, ∞)

Step-by-step explanation:

The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)

The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)

A watch that originally cost $110 has been marked down to $88. What was the percent of the markdown ?

12%

10%

25%

20%

Answers

Answer:

20%

Step-by-step explanation:

When calculating percents, it is important to divide by the initial value, not the end value. The formula for calculating percents is

[tex]\frac{finalvalue - inititalvalue}{initialvalue} * 100[/tex]

Plugging our values into this formula, we get

[tex]\frac{88-110}{110} * 100 = 20[/tex] as our answer.

Classify the following triangle. Check all that apply.

Answers

Answer:

A, E, F

Step-by-step explanation:

A: the angles are less than 90 degrees

E: all sides have equal lengths

F: has at least 2 sides equivalent in length

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Find the volume of this cylinder.
Round to the nearest tenth.
8in
2in
[?] in3

Answers

Answer:

The answer is 100.5 [tex]in^{3}[/tex].

Step-by-step explanation:

To solve for the volume of the cylinder, use the cylinder volume formula, which is V = [tex]\pi r^{2} h[/tex].

Next, plug in the information given from the problem, and the formula will look like V = [tex](\pi) (2 in^{2}) (8 in)[/tex].

Then, solve the equation, and the answer will be 100.5 [tex]in^{3}[/tex].  

A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?

Answers

$216 x 0.08 = $17.28.
Therefore $17.28 was collected for sales tax.

what are the steps to this?

Answers

Answer:

B=112

Step-by-step explanation:

Angle B is on the same line as angle A(68). They would need to combine for a total of 180 degrees. So 68-180=112

Answer:

b = 112°

Step-by-step explanation:

The two angles from a straight line. so, they add to 180° .

b + 68° = 180°

subtract 68° from each side

b + 68° - 68° = 180° - 68°

b = 112°

find the solutions of the following linear equation 4 x minus 4 upon 2 = 3 upon 2​

Answers

u mean 4x-4^2=3^2 ? if u mean that the ans would be 6,25
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