Answer:
Sleep hours per night is independent.
Step-by-step explanation:
Given the data:
Hours of Sleep 39 or younger 40 or older
> 6 _____38 36
6 to 6.9 _ 61 58
7 to 7.9 __76 74
8 or more 65 92
The Chisquare statistic is to be used to perform the analysis :
The hypothesis :
H0: Sleep hours per night is independent
H1: Sleep hours per night is not independent
χ² = (observed - Expected)² / Expected
To save computation time. We could use a Chisquare calculator to perform the analysis :
The test statistic = 4.0061
The degree of freedom = (row - 1) * (column - 1)
Degree of freedom = (4-1)*(2-1) = 3*1 = 3
The Pvalue = 0.261
Since, Pvalue > α ; We fail to reject the H0 ;and conclude that sleep hours per night is independent.
______________total ___%
> 6 _____38 36__ 74 __ 14.8
6 to 6.9 _ 61 58 __ 119 __23.8
7 to 7.9 __76 74___150__30
8 or more 65 92___157__31.4
_______240 _260__500_100
please answer thank you
Answer:
1536 m²
Step-by-step explanation:
To find the area of the lateral faces, calculate the height of a lateral face first.
The height of a lateral face = S
The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.
[tex] \sqrt{ {h}^{2} + {0.5b}^{2} } [/tex]
[tex] = \sqrt{ {16}^{2} + {12}^{2} } [/tex]
[tex] = \sqrt{400} [/tex]
= 20 m
Total surface area of a pyramid
= total surface area of lateral faces + base area
Area of 1 lateral face
= (base × height) ÷ 2
= (24×20)÷2
= 240 m²
Total surface area of the pyramid
= 240×4 + 24×24
= 1536 m²
I need help seeing what I did wrong
Answer: The two roots are x = 3/2 and x = -2
=========================================================
Explanation:
You have the right idea so far. But the two numbers should be 3 and -4 since
3*(-4) = -123+(-4) = -1The -1 being the coefficient of the x term.
This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.
---------
Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.
If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2
Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x
So we have the factor -x-2 along the top
The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.
We have the factor 2x-3 along the left side.
---------
The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)
The last thing to do is set each factor equal to 0 and solve for x
2x-3 = 0 solves to x = 3/2 = 1.5-x-2 = 0 solves to x = -2The two roots are x = 3/2 and x = -2
A newborn weighs 7 lb and 13 oz. How many grams (g) does he weigh?
Answer:
69
Step-by-step explanation:
Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. What is the unit rate of cloth he used in terms of yards per shirt?
pls help on number 6!!
Answer:
729 cubic feet
Step-by-step explanation:
Find the perimeter of the figure.
1 in
1 in
5 in
3 in
3 in
PLEASE HURRY ITS URGENT
Answer: My teacher told me to use 180 and divide something.
Step-by-step explanation:
Answer:
isnt itjust 15?
Step-by-step explanation:
1 +1+1+1 = 4 5+3+3 = 11 then 11+4 = 15 if this is incorrect im sorry
Step 5: Mathematics Problem 10 of 10 Question: The variables x and y are directly proportional, and y = 4 when = 3. What is the value of y when 15? А. B. 12 C16 D. 20 E. I don't know d O ype here to search
Step-by-step explanation:
y=kx
4=k*3,4=3k,4/3=k.to find y when X is 15 ,y=kx,y=4/3*15=60/3=20
Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $690, how many of each denomination does he have?
How many $10 coins does he have?
How many $20 coins does he have?
of the 10 people attending a seminar, 5 have gray hair.
What is the probability that a randomly selected person will have gray hair?
Answer:
1/2
Step-by-step explanation:
So we know that there is a total of 10 people.
5 of these have grey hair.
To find the chances of a somone having grey hair, we need to divide people with grey hair over total people:
[tex]\frac{value}{total} =probability[/tex]
This is the same division we use to find things such as percentage and ratio as well.
Now lets plug in our numbers and solve:
[tex]\frac{5}{10}=\frac{1}{2}[/tex]
So half of the people have grey hair.
Or(in percentage):
The probability is 50% that someone will have grey hair.
Hope this hepls!
A ladder is put against a building. The building is 25 feet tall. The ladder's base is 13.5 feet from the building. Find the angle which the ladder makes with the ground.
the answer is 16.0 or 11.0
SOLVE EQUATION BY TAKING SQAURE ROOTS.
64m^2 -5 = 76
Answer:
m=9/8
Step-by-step explanation:
64m^2 -5=76
64m^2 =76+5
64m^2=81
m^2=81/64
m=[tex]\sqrt{81/64}[/tex]
m=9/8
Step-by-step explanation:
64m²-5=76
64m²-5+5=76+5
64m²=81
m²=64/81
m=
[tex] \sqrt{64/81} [/tex]
m=8/9
(x+3)(x−1)
Cual seria su resultado
Answer:
x² -1x + 3x -3
= x² +2x -3
hope it helps
Which ordered pair (p, r) is the solution to the given system of linear equations?
(5p - 3r = 1
8p + 6r= 4
Answer:
[tex](\frac{1}{3};\frac{2}{9})[/tex]
Step-by-step explanation:
[tex]\left \{ {{10p-6r=2} \atop {8p+6r=4}} \right. \ \left \{ {{18p=6} \atop {8p+6r=4}} \right. \ \left \{ {{p=\frac{1}{3} } \atop {r=\frac{2}{9} }} \right.[/tex]
Answer:
Its D
Step-by-step explanation:
Edge 2021
What is the value of X?
Answer:
The answer is 46'
Step-by-step explanation:
The first triangle is:85'+53'+Y=180' so y=42'
The second triangle with X is:92+42'+X=180' so X=46'
Surface Area of a Triangular Pyramid, please help!
Answer:
surface area of the triangular pyramid
=(1/2×9×7.8)+(3×1/2×9×12.3)
=35.1+166.05
=201.15 inch²
Identify horizontal or vertical compression stretch of the function g(x) = 6x
Answer:
dhjfydhftb7cuvdihcdjxuihy
evaluate the algebraic expression for the given values of x = 3 and Y =4 7 x - 2y-1
Answer:
the answer is 12
Step-by-step explanation:
7x-2y-1. x=3. y=4
7×3-2×4-1
=21-8-1
=12
real fourth roots of -625
Answer:
-5
Step-by-step explanation:
[tex]\sqrt[4]{-625}[/tex]
=[tex]\sqrt[4]{-5*-5*-5*-5}[/tex]
=-5
please help! (listing BRAINLIST and giving points)
Answer:
Step-by-step explanation:
sin x = opposite / hypotenuse
sin x = b / c
cos x = adjacent / hypotenuse
cos x = a / c
tan x = opposite / adjacent
tan x = b / a
A car that is normally $4200 is on sale for 80% of its original cost.
what is the sale price of the car?
Answer:
$3360
Step-by-step explanation:
4200(.80) = 3360
anything less than 1.00 will be a decreasing amount, so i just took the 80% and put it as a decimal and multiplied to find the current cost of the car
Which statement about y= x2 – 3x – 40 is true? O A. The zeros are 5 and -8, because y = (x - 5)(x+ 8). B. The zeros are 5 and -8, because y= (x + 5)(x-8). C. The zeros are -5 and 8, because y = (x - 5)(x+ 8). O D. The zeros are - 5 and 8, because y = (x + 5)(x-8).
Answer:
C
Step-by-step explanation:
A p e x
Answer:
the answer is " The Zeros are -5 and 8, becouse y=(x+5)(x-8)
Step-by-step explanation:
i just took the test
Is 0.01011011101111011111 rational or irrational?
Answer:
It is rational number.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Hope it is helpful....Find the quotient.
2^3/2^-1
Answer:
-4
Step-by-step explanation:
2^3 = 2 * 2 * 2 = 8
2^-1 = -2 = -2
2^3/2^-1 = 8/-2
=> 4/-1
=> -4
Hope it helps :)
Answer:
2^4 (or) 16
Step-by-step explanation:
2^3=2×2×2=8
2^-1 = 1/2
2^3/2^-1 = 8/(1/2) = 8×2 = 16
alternative method:
2^3/2^-1 = 2^(3-(-1))
= 2^(3+1)
= 2^4
= 16
In a triangle ABC, let G denote its centroid and let M,N be points in the interiors of the segments AB,AC, respectively, such that M,G,N are collinear. If r denotes the ratio of the area of triangle AMN to the area of ABC then find r.
Answer: hello options related to your question is missing attached below is the missing option
answer :
4/9 ≤ r < 1/2 ----- ( c )
Step-by-step explanation:
Given that G denotes the centroid of triangle ABC and points M, N are points found in the interiors of segments AB,AC
also Given that r denotes ratio of triangles AMN to triangle ABC
attached below is a detailed solution
PLZ HELP ASAP
The white triangle drawn on the road sign in the picture has a height of 8 and a base of 5 which formula would be correct to find the area of this triangle
1) A= 1/2 (8) (5)
2) A=2(8)+2(5)
3) A=1/2(8+8)(5+5)
4) A=2(8)(8)+2(5)(5)
Answer:
[tex]\text{1) }\frac{1}{2}(8)(5)[/tex]
Step-by-step explanation:
The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is equal to [tex]A=\frac{1}{2}bh[/tex]. Since we're given a base of 5 and a height of 8, the area is given by [tex]\boxed{\text{1) }\frac{1}{2}(8)(5)}[/tex].
help
Sadie needs 3.1 yards to make one costume for each choir member in the play. How much fabric will she need if she has to make 5 costumes?
A.
15.5 yards
B.
10.5 yards
C.
18.6 yards
D.
16.5 yards
Answer:
A. 15.5 yards
Step-by-step explanation:
3.1 ×5=15.5
Keiko brought $51.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much as the sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Keiko had $3.00 left over after buying these items.
What was the cost of each item?
Step-by-step explanation:
[(1/6 × 3/4) + (3/4) + 1] n = 51.75 -3
(⅛ + ¾ +1)n = 48.75
15/8 n = 48.75
1.875 n = 48.75
n = 48.75/1.875
n = 26
so, the cost of :
the brush = ⅛×26 = $ 3.25
the sketchbook = ¾×26 = $ 19.5
the pain set = $ 26
Jared bought a new amplifier for his guitar by borrowing the money from his mom. The amplifier cost $235. Jared is paying his mom back $18 each week. If Jared still owes his mom $73, how many weeks has he been paying her back?
Answer:
9 weeks
235 -73=162 (this is the amount he paid)
162/18=9 (he has been paying his mom for 9 weeks)
Answer:
9 weeks
Step-by-step explanation:
235-73 = 162 (how much he has paid her thus far)
162/18 (how many times he payed her) = 9
Can someone help me again with these math work?
Answer:
it look like its 4 and the 4 over 4/5 I think
si se vendieron 8 refrescos y cada uno tiene un costo de $9.50 ¿cuánto dinero colectó
con esa venta?