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]
. 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
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.
Prove that root 2 as irrational number
Help needed!! Please help me solve my problem!!!
96/2= 48
given figure is a square.the line is bisect the angel
thank you
find the solutions of the following linear equation 4 x minus 4 upon 2 = 3 upon 2
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
how to write 0.12 repeating as a fractiom
Answer:
4/33
Step-by-step explanation:
do the normal steps to conversion
A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?
Please help out with this question!
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....What fraction of an hour is 45 minutes?
Give your answer in its simplest form.
Answer:
3/4
Step-by-step explanation:
1 hour is 60 minutes
45 minutes
---------------------
60 minutes
Divide top and bottom by 15
3
----
4
A positive
B negative
C none
D multiple
Answer:
Step-by-step explanation:
The letter c
Classify the following triangle. Check all that apply.
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
please help me with this :)
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.
How do you eat like I next to to eat and I can’t so how do I eat
Answer:
I don’t get the question.
Step-by-step explanation:
It doesn’t make sense to me……….
The figure represents a doorstop in the shape of a triangular prism. What is the volume of the doorstop in cubic inches?
Answer:
7 times 5
35
divided by two
17.5
times 3
52.5 cubic inch
nejsjsj show your working pls
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
Find the quotient.the fraction
8 1/3 divided by 4 1/2
Answer:
[tex]8 \frac{1}{3} \div 4 \frac{1}{2} = \frac{50}{27} = 1.851 = 1 \frac{23}{27} [/tex]
In the diagram, the figures are similar. Use proportions to find x.
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
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Find the volume of this cylinder.
Round to the nearest tenth.
8in
2in
[?] in3
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 = 5
an + 1 = 24, -7
Classify the following angles
--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°
Use the number line to find the measure of SV please help
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
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
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!!!
Write cos 29° in terms of sine.
Help pls :(
Answer:
0.48480962
Step-by-step explanation:
1. Take the sine of 29 ° .
sin ( 29 ° )
2. Evaluate sin ( 29 ° ) .
0.48480962
Please help and thank you!
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)
chadwick contributes 17% of his 68,000 annual salary to his 401(k)plan.What is his pre-tax income?
Factorx^2 + x - 6, asappp
[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 steps to this?
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°
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below
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
What are the domain and range of f(x) = 2|x -4|?
plz i'm in need
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%
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.