Answer:
Degree of freedom = 2
Expected frequency = 80%
Critical value, = 5.991
χ² statistic = 3.5
Step-by-step explanation:
Given the data :
Hong Kong New York Paris
Yes 86% 76% 78%
No 14% 24% 22%
The degree of freedom for the Chisquare statistic is given as :
(no of rows - 1) * (number of columns - 1)
Number of rows = 2
Number of columns = 3
. Degree of freedom = (2-1) * (3-1) = 1*2 = 2
Expected frequency = (Row total * column total) / grand total
The expected frequency of Hong Kong / Yes cell :
Row total = (86+76+78) = 240
Column total = (86+14) = 100
Grand total, N = (14+24+22)+240 = 300
Expected frequency = (240*100)/300 = 80%
The critical value :
At α - level = 0.05 ; df = 2
Critical value = 5.991
χ² = Σ(observed - Expected)² / Expected
The expected values :
80 80 80
20 20 20
Hence,
χ² = Σ(86-80)²/80 + (76-80)²/80 + (78-80)²/80 + (14-20)²/20 + (24-20)²/20 + (22-20)²/20
χ² statistic = 3.5
A 10-item statistics quiz was given to 30 students. The table below gives the scores received along with the corresponding frequencies.
A 2-column table with 6 rows. Column 1 is labeled score with entries 5, 6, 7, 8, 9, 10. Column 2 is labeled Frequency with entries 1, 2, 5, 5, 7, 10.
What was the mean score on the quiz?
7.5
8.5
9
10
Answer:
Should be (B).
8.5
ED2021
Answer: B
Step-by-step explanation:
Factorize:
3a^2 + 10a + 3
Answer: (3a + 1) (a + 3)
Step-by-step explanation:
Concept:
Here, we need to know the idea of factorization.
It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.
Solve:
Given = 3a² + 10a + 3
STEP ONE: separate 3a² into two terms
3a
a
STEP TWO: separate 3 into two terms
3
1
STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.
3a 1
a 3
When cross multiply, 3a × 3 + 1 × a = 10a
STEP FOUR: combine the expression horizontally to get the final factorized expression.
3a ⇒ 1
a ⇒ 3
(3a + 1) (a + 3)
Hope this helps!! :)
Please let me know if you have any questions
Diện tích xung quanh của hình chóp tứ giác đều có cạnh bằng 6cm và độ dài trung đoạn bằng 10cm là:
A. 120 cm2 B. 240 cm2 C. 180 cm2 D. 60 cm2
Answer:
A
Step-by-step explanation:
(6.2).10=120cm²
Đáp án đó chúc bạn học tốt
Help?! Please! Thank you!!!!!!!
Which statement is sufficient to prove that quadrilateral ABCD is a parallelogram?
A) m∠A ≅ m∠C, m∠B ≅ m∠D
B) AB ≅ CD
C) AC ≅ BD
D) BC // AD
Answer:
A) m∠A ≅ m∠C, m∠B ≅ m∠D
Step-by-step explanation:
If both pairs of opposite angles are congruent, then the figure is a parallelogram.
A 7-foot board is cut into two pieces. If one piece is x feet long, express the other length in terms of X
Step-by-step explanation:
According to the question,
Total length the board = 7 feetIt has been cut into two pieces.Length of one piece = x feetBasically,
[tex]\longrightarrow[/tex] Total length of the board = Sum of the length of the two pieces
[tex]\longrightarrow[/tex] Total length of the board = Length of 1st piece + Length of the 2nd piece
[tex]\longrightarrow[/tex] 7 feet = x feet + Length of the 2nd piece
[tex]\longrightarrow[/tex] (7 – x) feet + Length of the 2nd piece
Hence, we got the required answer!
A train leaves the station and has to travel 486km. The train maintains a speed of 120km. After travelling for 3 hours and 15 minutes, how much further does the train have to travel to reach its destination?
Answer:
I think its 2 hours 30 minutes
Step-by-step explanation:
Help please guys thanks
Answer:
False
Step-by-step explanation:
a^(m/n)=sqrt_{n}a^m
I need help with ged
Answer:
General Educational Development (GED) tests
What do subject do you need help?
Step-by-step explanation:
The GED® exam is made up of 4 subjects, broken into separate exams: Mathematical Reasoning, Reasoning Through Language Arts, Social Studies, and Science.
Please help explanation if possible
Answer:
17.3
Step-by-step explanation:
14.4 x 1.2
= 17.28
= 17.3 ( approximately )
Choose the equation below whose axis of symmetry is x = 0.
a. y = x2 + 2x
b. y = x2 – 16x + 58
c. y=x2+2
d. y = x2 - 4x + 2
Help me plz plz help me with this question
Answer:
6 97/100 bags
Step-by-step explanation:
4 1/10 ⋅ 1 7/10 = ?
41/10 ⋅ 17/10 = 697/100
697/100 = 6 97/100
6 97/100 bags
Answer:
697/100 bags
or
6 97/100 bags
Step-by-step explanation:
it is fractions. just plain and simple.
when you eat a pizza slice, it is usually one of 8 slices that make the whole pizza. 1/8 or one 8th. meaning that the whole thing is 8/8 or eight 8ths.
the same for 10ths or any other fractions.
4 1/10 bags = 41/10 bags
1 7/10 times = 17/10 times
and now we multiply fractions, as 17/10 times is similar to 2 times or 3 times something - we multiply by this factor.
41/10 × 17/10
as we learned in early elementary school : numerators (top part of the fraction) are multiplied with each other, and denominators (bottom part) are multiplied with each other. and then we simplify the result as much as possible.
41/10 × 17/10 = (41×17) / (10×10) = 697/100
no simplification is possible, sadly.
but that means he used almost 7 bags of hot dog buns.
exactly 6 full bags and 97/100 of the 7th bag.
so, either
697/100 bags
or
6 97/100 bags
or as alternative (not wanted here in this example but just FYI)
6.97 bags
What is the simple interest rate if $51.67 in interest is earned on a deposit of $1377.53 in one year?
Answer:
2666.01%
Step-by-step explanation:
Intrest=(PA)*I*T
1377.53=51.67*I*1
I=26.6601=2666.01%
simplify 7-(3n+6)+10n
Answer:
1 + 7n
Step-by-step explanation:
7-(3n+6)+10n
7 - 3n - 6 + 10 n
1 - 7n
Answered by Gauthmath
Please I need help :(
Answer:
A. x-2y-3z = 1/2
Step-by-step explanation:
yess.. if you take solve every equation then you will get same equation from all the equations
The formula for converting from kelvins (K) to degrees Celsius (°C) is:
°C = K - 273
Using this formula, convert 400 K to degrees Celsius.
O A. 127°C
O B. 673°C
O C. -673°C
O D. -127°C
Answer:
answer is A. 127°C
hopes this helps you
find the area of the regular polygon
Answer:
A = 374.123 ft^2
Step-by-step explanation:
First, lets calculate the perimeter:
Perimeter (p) = side length (s) * number of sides (n)
[tex]p = s * n[/tex]
[tex]p = 12 * 6[/tex]
[tex]p = 72[/tex]
Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.
Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )
[tex]a = \frac{s}{2 * tan (\frac{180}{n} )}[/tex]
[tex]a = \frac{12}{2 * tan (\frac{180}{6} )}[/tex]
[tex]a = \frac{12}{2 * \frac{\sqrt{3} }{3}}[/tex]
[tex]a = \frac{12}{\frac{2\sqrt{3} }{3}}[/tex]
[tex]a = \frac{12*3}{2\sqrt{3}}[/tex]
[tex]a = \frac{6*3}{\sqrt{3}}[/tex]
[tex]a = \frac{18}{\sqrt{3}}[/tex]
Now, finally, to find the area of a regular polygon, we use the following equation:
Area (A) = ( apothem (a) * perimeter (p) ) / 2
[tex]A = \frac{a * p}{2}[/tex]
[tex]A = \frac{\frac{18}{\sqrt{3} } * 72}{2}[/tex]
[tex]A = \frac{18}{\sqrt{3}} * 36[/tex]
[tex]A = \frac{640}{\sqrt{3}}[/tex]
Turning into a decimal:
[tex]A = 374.123 ft ^2[/tex]
A 13-ounce can of coffee costs $2.73. What is the unit price per pound (1 pound=16 ounces)?
∠B=
Round to nearest hundredth
Hurry pls 50 points
I’ll mark brainliest if anyone answers in under 5 min
Answer:
Step-by-step explanation:
Find the missing segment in the image below
The product of two consecutive even integers is 10 less than 5 times their sum. Find the two integers. Answer in
the form of paired points with the lowest of the two integers first.
or
Answer:
(0,2) and (8,10)
Step-by-step explanation:
Let the smaller integer be 2n. The larger will be 2x+2.
ATQ. 2n(2n+2)+10=5(4n+2). Solving it, we get 2n=0 or 2n=8. The pairs are (0,2) and (8,10)
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and standard deviation are 75 GPa and 1.7 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.)
Required:
a. Calculate P(79 <= P <= 81) when n = 25.
b. How likely is it that the sample mean diameter exceeds 81 when n = 36?
Answer:
a) P(79 <= P <= 81) = 0.9968
b) P( X > 81 ) = 0.0002
Step-by-step explanation:
mean value = 75 GPa
standard deviation = 1.7 GPa
a) Determine P(79 <= P <= 81)
given that : n = 25
attached below is the detailed solution
P(79 <= P <= 81) = 0.9968
b) Determine how likely the sample mean diameter will exceed 81
given that n = 36
mean diameter = 81
P( X > 81 ) = 0.0002
The top three prices for works of art sold at auction in 2013 totaled $306.7 million. These three works of art were a sculpture, a painting, and a photograph. The
selling price of the painting was $50.5 million more than that of the photograph. Together, the painting and the photograph sold for $17.1 million more than the
sculpture. What was the selling price of each work?
Answer:
photograph = 55.7mil
painting = 106.2
sculpture = 144.8
Step-by-step explanation:
let the price of the photograph be x
price of painting = x+50.5
price of sculpture = x+x+50.5-17.1 =2x+33.4
2x+33.4+x+50.5+x=306.7
4x=222.8
x=55.7
price of painting = 55.7+50.5 = 106.2
price of sculpture = 2(55.7)+33.4=144.8
Plot the following equation using the x- and y-intercepts.
2y+6=0
If both intercepts are zero, find at least one other point. Identify the graph of this equation.
Answer:
option 2
Step-by-step explanation:
the line parallel to 2x – 3y = 6 and containing (2,6)
what is the equation of the line ?
First, write out the equation in slope intercept form.
-3y= -2x+6
y= 2/3x -2
The slope of the equation is 2/3, m.
Substitute the slope and coordinate into y=mx+b. Since it’s parallel, the slope remains the same.
6= 2/3(2)+b
6= 4/3+b
14/3=b
y= 2/3x + 14/3
To mail an envelope first class the us pot charges 0.32 cents for the first ounce and 0.24 cents for each additional ounce. Use an inequality to find the maximum number of whole ounces that can be mailed for $7.98
Answer:
Not sure about the inequality, but maximum ounces is 31 ounces.
Might be.
[tex]7.98 \geqslant .24x + .32[/tex]
solve similar triangles (advanced)
solve for x
Answer:
27/2 =x
Step-by-step explanation:
We can write a ratio to solve
3 2
----- = ---------
3+x 11
Using cross products
3*11 = 2(3+x)
33 = 6+2x
Subtract 6 from each side
33-6 = 6+2x-6
27 = 2x
27/2 = 2x/2
27/2 =x
Last Thursday, each of the students in M. Fermat's class brought one piece of fruit to school. Each brought an apple, a banana, or an orange. In total, 20% of the students brought an apple and 35% brought a banana. If 9 students brought oranges, how many students were in the class
Answer:
20 students
Step-by-step explanation:
Step 1:
Calculate the percentage of students who brought oranges by taking away the percentage of students who brought bananas and apples from the total percentage of students.
100-(20+35)
=45
Step 2:
Equate the percentage of students who brought oranges to the number of students who brought oranges
45%=9
100%
(100×9)/45
=20 students
Please help! Identify which of the following is not equivalent to a1/4
Answers (images below)
no links please!
Answer: B
Step-by-step explanation:
A) [tex]a^\frac{3}{4}[/tex]÷[tex]a^\frac{1}{2}[/tex] cannot be the answer. When a to the power of x is divided by a to the power of y it is a to the power of x-y. Ex: [tex]a^x[/tex]÷[tex]a^y=a^x^-^y[/tex]
So 3/4-1/2 is 1/4 giving us [tex]a^{\frac{1}{4} }[/tex]
B is the answer because taking the square root of a is the same as [tex]a^\frac{1}{2}[/tex] which isn't the same as [tex]a^\frac{1}{4}[/tex]
C is not the answer because when a to the power of x is multiplied by a to the power of y it is a to the power of x+y. Ex: [tex]a^x[/tex]·[tex]a^y[/tex]=[tex]a^{x+y}[/tex]
1/8+1/8=1/4 so it is [tex]a^\frac{1}{4}[/tex]
D can't be the answer. [tex]a^\frac{1}{8}[/tex] squared is the same as [tex]a^\frac{1}{8}[/tex]·[tex]a^\frac{1}{8}[/tex] so the same explanation of c applies to d
The scatterplot shows the attendance at a pool for different daily high temperatures.
A graph titled pool attendance has temperature (degrees Fahrenheit) on the x-axis, and people (hundreds) on the y-axis. Points are at (72, 0.8), (75, 0.8), (77, 1.1), (82, 1.4), (87, 1.5), (90, 2.5), (92, 2.6), (95, 2.6), (96, 2.7). An orange point is at (86, 0.4).
Complete the statements based on the information provided.
The scatterplot including only the blue data points shows
✔ a strong positive
association. Including the orange data point at (86, 0.4) would
✔ weaken
the correlation and
✔ decrease
the value of r.
Answer:
✔ a strong positive
✔ weaken
✔ decrease
ED2021
Answer:
The scatterplot including only the blue data points shows
✔ a strong positive
association. Including the orange data point at (86, 0.4) would
✔ weaken
the correlation and
✔ decrease
the value of r.
Step-by-step explanation:
