Answer:
[tex]\bar x = 1.4896[/tex]
[tex]Median = 1.525[/tex]
7 is an outlier
Step-by-step explanation:
Given
See comment for dataset
Solving (a): The mean
The mean is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{2.53 +1.33 +0.64 +2.55 +0.67 +0.57 +............+2.03 +1.78}{50}[/tex]
[tex]\bar x = \frac{74.48}{50}[/tex]
[tex]\bar x = 1.4896[/tex]
Solving (b): The median
First, we sort the data:
[tex]0.01, 0.01, 0.08, 0.14, 0.24, 0.35, 0.57, 0.64, 0.65, 0.67,[/tex]
[tex]0.69, 0.74, 0.81, 0.82, 0.92, 0.99, 1.01, 1.04, 1.15, 1.16, 1.33,[/tex]
[tex]1.41, 1.45, 1.48, 1.52, 1.53, 1.58, 1.61, 1.62, 1.73, 1.77, 1.78, 1.84,[/tex]
[tex]1.98, 2.01, 2.02, 2.03, 2.06, 2.06, 2.31, 2.41, 2.53, 2.55, 2.59,[/tex]
[tex]2.66, 2.74, 2.74, 2.77, 2.77, 2.91[/tex]
The median position is:
[tex]Median = \frac{n + 1}{2}[/tex]
[tex]Median = \frac{50 + 1}{2}[/tex]
[tex]Median = \frac{51}{2}[/tex]
[tex]Median = 25.5th[/tex]
This means that the median is the average of the 25th and the 26th item.
So:
[tex]Median = \frac{1.52+1.53}{2}[/tex]
[tex]Median = \frac{3.05}{2}[/tex]
[tex]Median = 1.525[/tex]
Solving (c): Is 7 an outlier
Yes; 7 is an outlier.
Because the range of the dataset (0.01 to 2.92) is far from 7.
please help!!
A city has a population of 220,000 people. Suppose that each year the population grows by 8.75%. What will the population be after 13 years?
Use the calculator provided and round your answer to the nearest whole number.
Answer:
P = 660,592
Step-by-step explanation:
p = [tex]222,000 (1+.0875)^{t}[/tex]
P = [tex]222,000 (1+.0875)^{13}[/tex]
P = 660,592
Weather it’s true or false?
i need y’all help asap
Need to pass please help
I need help!!!!!!!!???!!!!!!!!??
hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello
Step-by-step explanation:
hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello
Blank is 10 times the value of 70
Answer:
10x70=700
Step-by-step explanation:
Answer:
700
Step-by-step explanation:
7 x 10 = 700
Which figure has at least one line of symmetry?
Answer:
it the first diagram for this question.
The lines shown below are parallel. If the green line has a slope of -3/7, what is
the slope of the red line?
Answer:
-3/7
Step-by-step explanation:
Parallel lines have the same slope
If the green line has a slope of -3/7, the red line has a slope of -3/7
A building 230 feet tall casts a 80 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the
building.)
Hope this help!!!
Have a nice day!!!
The angle between the end of the shadow and the vertical side of the building is approximately 70.4°.
How to calculate the angle?The tangent function to find the angle between the end of the shadow and the vertical side of the building. Let x be the measure of the angle, in degrees. Then:
tan(x) = opposite/adjacent
tan(x) = 230/80
tan(x) = 2.875
To solve for x, we take the inverse tangent of both sides:
x = tan⁻¹(2.875)
x ≈ 70.4
Therefore, the angle between the end of the shadow and the vertical side of the building is approximately 70.4°.
To know more about an angle follow
https://brainly.com/question/13959018
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Find the area of the figure described
Answer:
153.94
Step-by-step explanation:
A=πr2=π·72≈153.93804
hope this helps!
please mark brainiest<3
need help with this question
Answer:
the anwser is b
Step-by-step explanation
you need to replace the letters with the numbers and youll see
a bag contains 15 new batteries and 10 use batteries if Heather randomly so what's two batteries from the bag without replacement what is the probability that she will select a used battery and then a new battery
Answer:
1/4
Step-by-step explanation:
Probability is the number of desirable outcomes divided by the number of total outcomes. We can tell these events depend on each other because the batteries are picked without replacement. To find the probability of two dependent events, event that depend on each other, we can find the probability of the first event and the probability of the second event happens if the first is given and multiply them. In this case, the first event is selecting a used battery and the second is picking a new battery.
The total number of outcomes the basically the total amount of batteries that can be chosen. This is 15 + 10 or 25 outcomes. 10 of these batteries are used, and that would correspond to the amount of desirable outcomes because we want to pick a used one. From this, we can say the probability of picking a used battery is 10/25 which simplifies to 2/5.
To find the probability of picking a new battery after picking a used one, we can start by stating the amounts of each battery before the second draw. Since we already picked a used battery, our new totals will be 24 batteries, which 9 are used and 15 are new. Now, we can do the same thing a before, the number of desirable outcomes over the total. We get 15/24 which simplifies to 5/8.
To find the total probability, we multiply the two getting: 2/5 * 5/8 = 1/4.
Combine like terms and solve: 17x - 3x +8 *
Answer:
14x+8
Step-by-step explanation:
Answer:
14x+8
Step-by-step explanation:
x is a like term here so we can do 17x-3x
17x-3x=14x. 8 has no like terms so it will be 14x+8
If the surface area of the box in the diagram is 204.25 square feet, what is the value of ‘x’?
the length is 10ft
the height is 6.5ft
what would x
A. 3 ft
B. 2.25 ft
C. 4.5 ft
D. 5 ft
Note: Consider x be the breadth of the box.
Given:
The surface area of the box is 204.25 square feet.
Length of the box = 10 ft
Breadth of the box = x ft
Height of the box = 6.5 ft
To find:
The value of x.
Solution:
The surface area of a cuboid is:
[tex]SA=2(lb+bh+hl)[/tex]
Where, l is length, b is breadth and h is height of the cuboid.
Putting [tex]SA=204.25, l=10,\ b=x,\ h=6.5[/tex] in the above formula, we get
[tex]204.25=2(10\times x+x\times 6.5+6.5\times 10)[/tex]
[tex]204.25=2(10x+6.5x+65)[/tex]
[tex]204.25=2(16.5x+65)[/tex]
Using distributive property, we get
[tex]204.25=2(16.5x)+2(65)[/tex]
[tex]204.25=33x+130[/tex]
[tex]204.25-130=33x[/tex]
[tex]74.25=33x[/tex]
Divide both sides by 33.
[tex]\dfrac{74.25}{33}=x[/tex]
[tex]2.25=x[/tex]
Therefore, the correct option is B.
In year 13, the scientist will put tree wrap around tree 1 to protect it from the winter snow. The height of the tree wrap needs to be 45 inches.
Answer:
22 feet²
Step-by-step explanation:
We are given:
height of tree h = 45 inches
Circumference= πd × inches
But d = 22.2inches
Therefore area will be
Area = 22.2π × 45 inches²
Area = 3137 inches²
Let's convert from inches² to feet², we have:
1 foot = 12 inches.
Therefore,
1 square foot = 1foot × 1foot = 12inches×12inches
= 3137inches² / 144 inches²
= 22feet²
Note: I attached missing data which states that diameter at year 13 is 22.2inches
Answer: 22
Step-by-step explanation:
simple
Sarah’s meal cost $28.80 without tip how much will she pay including 25% tip
Answer:
$ 36.00
Step-by-step explanation:
Tip Total: $ 7.20
Total (Bill + Tip): $ 36.00
given triangle abc is similar to triangle efg, with medians cd and gh respectively, ac=9, eg=6, cd=x+2, gh=2x-4. find the length of cd
Answer:
X= 9//
Step-by-step explanation:
abc = efg
ac + cd = eg + gh
9 + (x+2) = 6 + (2x-4)
9 - 6 = 2x-4 - (x+2)
3 = x - 6
3+6 = x
9 = x//
I need answers to, tan x = 23/41 and sin x = 23/45
Answer:
See below. Remember to take the inverse trig function of both sides!
Step-by-step explanation:
The solution to [tex]tanx=\frac{23}{41}[/tex] is [tex]x=tan^{-1}(\frac{23}{41})=29.29136217^\circ[/tex]
Similarly, the solution to [tex]sinx=\frac{23}{45}[/tex] is [tex]x=sin^{-1}(\frac{23}{45})=30.73786867^\circ[/tex]
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 70 mph. The westbound train travels at 90 mph. How long will it take for the two trains to be 192 miles apart.
Answer:
1.2 hours
Step-by-step explanation:
Recall :
Distance = speed * time
Let the time taken = x
Creating an equation for the question :
Distance of train A + Distance of train B = 192
70 * x + 90 * x = 192
70x + 90x = 192
160x = 192
x = 192 / 160
x = 1.2
It takes 1.2 hours to be 192 miles apart.
The width of the rectangle shown below is 10 inches the length is 4 feet what is the area of the rectangle in square inches
The ratio of men to women at a meeting is 7:6.If there are 28 men at the meeting;
a. How many women are at the meeting?
b. How many men and women are at the meeting?
Answer:
a. 24 woman
b. 28 men and 24 women
Step-by-step explanation:
a.
given: men to women = 7:6
find: number of women
solution: 28 / 7 = 4, 4 * 6 = 24 women
b.
given: number of men
find: number of men and women
solution: 28 men and 24 women
hope this helps....
Answer:
A) 24 women
B) 52 men and women are at the meeting
Step-by-step explanation:
A)
Let y = women at the meeting
7:6 = 28:y
7/6 = 28/y
6×38 = 7y
6×28⁴/7¹ = 7y¹/7¹
y= 6×24
y=24
B)
Number of women at the meeting = 24
Number of men at the meeting = 28
Total number of people at the meeting = 24+28
= 52
questions 1 and 2, please
Answer:
too blurry cant read it
Step-by-step explanation:
.........................................................
Camden is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.
If segments DE and AB are parallel, which of the following expressions will help Camden determine the length of DC?
DC equals EC times AC all over BC
DC = EC
DC equals EC times AC all over AB
DC = AB
Answer:
A) DC equals EC times AC all over BC.
Step-by-step explanation:
We know that:
[tex]DE\parallel AB[/tex]
Then by corresponding angles:
[tex]\angle CAB\cong \angle CDE\text{ and } \angle CBA\cong \angle CED[/tex]
So, by AA-Similarity:
[tex]\Delta CDE\sim \Delta CAB[/tex]
Corresponding sides of similar triangles are in proportion. Hence:
[tex]\displaystyle \frac{DC}{AC}=\frac{EC}{BC}[/tex]
By multiplying both sides by AC:
[tex]\displaystyle DC=\frac{EC\cdot AC}{BC}[/tex]
DC is equal to EC times AC over BC.
Hence, our answer is A.
Answer:
DC equals EC times AC all over BC
Step-by-step explanation:
hey. I suck at algebra help pls?
Answer: 8
Hope this helps
HELP PLEASE PLEASEEEEEE
Answer: Well this one is simple too.
ATQ Angle 4 is 73° so the vertically opposite angle that is angle to will be the same, 73°.
now for the rest two.
lets find angle 1 first. If we find any one from this we can automatically get the other as they are vertically opposite angles.
Angle 1= 180 - Angle 4
Angle 1 = 180-73=107°
We found this coz the Angle 1 and 4 are on the same line which will form a straight angle.
hence, Angle 4 and 2 = 73°
Angle 1 and 3= 107°
Hope it helps. Pls mark brainliest
There are 924 people in a theatre.
383 of the people are men.
356 of the people are women.
2
of the children are boys.
5
Work out how many girls are in the theatre
[tex]924 - (383 + 356 + 2 + 5 )[/tex]
Answer:
Step-by-step explanation:
total no. of people in the theatre = 924
men=383
women=356
boy children =2
doing workout 5
total=746
no. of girls= 924-746=178
Therefore, the number of girls are in the theatre are 178.
please help me find the area
Answer:
165 square ft
Step-by-step explanation:
if cosø = -5/13 and sin ø<0 what is tan ø
Answer:
12:5
Step-by-step explanation:
A researcher conducted a paired sample t-test to determine if advertisements were viewed more in the morning (before noon) or in the evening (after 5pm) for eight different universities. The results were as follows:
Morning Evening
Morning Evening
Mean 32 40.625
Variance 89.71428571 504.5536
Observations 8 8
Pearson Correlation 0.343785438
Hypothesized Mean Difference 0
df 7
t Stat -1.152587077
P(T<=t) one-tail 0.143458126
t Critical one-tail 1.894578605
P(T<=t) two-tail 0.286916252
t Critical two-tail 2.364624252
Is there a significant difference between morning and evening access to the university advertisements?
a. Yes, there was a significant difference between Morning (M= 32), and Evening (M=40.625), (t [7] = .28, p < .05).
b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).
c. Yes, there was a significant difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15 p < .05).
d. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p < .05).
Answer:
b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).
Step-by-step explanation:
The critical value for one tailed test is t ∝(7) > 1.895
A one tailed test is performed to test the claim that advertisements were viewed more in the morning (before noon) or in the evening (after 5pm)
The null and alternative hypotheses are
H0: μm = μe vs Ha μm > μe
where μm is the mean of the morning and μe is the mean of evening.
The calculated value of t = -1.152587077 which is less than the critical region hence the null hypothesis cannot be rejected .
P(T<=t) one-tail 0.143458126 > 0.05
If two tailed test is performed the critical region is t Critical two-tail 2.364624252
and the calculated t value is -1.152587077 which again does not lie in the critical region .
Hence μm = μe or μm ≤ μe
P(T<=t) two-tail 0.286916252 > 0.025
Therefore
b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).
Option b gives the best answer.
how do i solve this?
Answer:
5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
This is a special right triangle, the side length that sees 30 degrees is equal to 5 then the side length that sees 90 degrees is 10 and the side length that sees angle measure 60 degrees is 5[tex]\sqrt{3}[/tex]