Step-by-step explanation:
total = 315+101+108+32 = 556
total ratio = 9+3+3+1 = 16
1.
h0 : data follows ratio 9:3:3:1
h1: data does not follow ratio 9:3:3:1
2. expected counts under h0
Ei = expected count, i = 1,2,3,4
count 315
ratio = 9
Ei = 9*556/16
= 312.75
count 101
ratio = 3
Ei = 3*556/16
= 104.25
count 1o8
Ei 3 x 556/16
= 104.25
count 32
= 1*556/16
= 34.75
total = 312.75+104.25+104.25+34.75 = 556
c. value of chi² test stat
a. Oi = 315
Ei = 312.75
X² = (315-312.75)²/312.75
= 0.01618705
b. (101-104.25)²/104.25
x² = 0.101318944
c. (108-104.25)²/104.25
= 0.134892086
d. (32-34.75)²/34.75
= 0.217625859
Chi² test stat = 0.01618705+0.101318944+0.134892086+0.217625859
= 0.470023981
n = 4
df = 4-1 = 3
test stat = 0.4700
critical x² = 7.814736
p value = 0.9254
α < pvalue
0.05<0.9254
we therefore fail to reject the h0. we conclude that it follows 9:3:3:1
d. yes it agrees with this law
Which set can represent the side lengths of a right triangle?
A. 5,11,12
B.2,4, 2sqrt 5
C.6, 7, sqrt 21
D. 5, 7, 5, sqrt 3
Answer:
B
Step-by-step explanation:
2²+4²
=4+16
=20
=√20
which is the same as
=√4×5
= sqrt of 4 is 2
therefore 2√5
pls help! the function g is defined as follows for the domain given
g(x)=1-2x domain={-3,-1,2,4}
write the range of g using set notation then graph g
Answer:
somebvody come get her-
Step-by-step explanation:
:D
Please help ill give BRAINLIEST. This is geometry
Answer:
A
Step-by-step explanation:
it's a 45-45-90 triangle, so the legs are the same length and the hypotenuse is the leg length times the square root of 2. Therefore y=6 and x=6*sqrt2
a soccer game started at 2:15p.m. and ended at 3:35p.m. how long did the game last
Ryan needs $100 for a new bike. He already has $28 and will make $12 per day working for his grandfather. Write an inequality to find the number of days he must work to make enough money for the bike.
Answer:
100 ≥ 12x + 28
Step-by-step explanation:
He needs $100 for the new bike but already has the $28 so you also have to add 12x because thats what you need to find. X represents the amount of days he has to work.
Two students share 3/4 of a pound of peanuts. How much of a pound does each person get
A car travel 8km using 1 litres of petrol. How much petrol is needed to travel 152km
Answer:
It is very interesting!
Step-by-step explanation:
So I am going to take all of this values and represent it as a proportion, So here's how it is going to look,
Km : Litre : : Km : Litre
Let's keep the missing value as x
= 8 : 1 : : 152 : x
We know that,
Product of ext. terms = Product of middle terms
8 * x = 1 * 152
8x = 152
x = 152/8
x = 19
So therfore it will take 19 lites to travel 152 km.
(So to put everything in a nutshell we have to divide 8 by 152 to get the answer)
Hope this helps :)
there are 18 cups on the shelves in Mrs. Lee's kitchen. If she takes out 8 cups to serve tea, how many cups will be left?
Subtract the number of cups she takes from the total cups:
18 cups - 8 cups = 10 cups will be left
You roll a die. What's the theoretical probability of rolling a number greater than 2?
Answer: if the dice is six sided you have 4 chances to roll a higher number
Step-by-step explanation:
Answer:
3 in 36
Step-by-step explanation:
assuming a fair die you have three possible odd numbers out of six total possible outcomes so the probability is 0. the prob ability of getting an even number greater than 2 when rolling standard die must be 1/3. The probability of doing both, on two rolls, is 3 in 36, or 1 in 12.
I need help with this
Gsbevehehennsbsnacfwuwj
9514 1404 393
Answer:
4
Step-by-step explanation:
The constant of proportionality is the ratio of y-values to corresponding x-values. We see that the y-value is 8 (at the top of the graph) when the corresponding x-value is 2.
k = 8/2 = 4
The constant of proportionality is 4.
What is the value of the expression 1/2x2/5 ÷2/6
Answer: 3/5 (0.6 decimal form)
Step-by-step explanation:
what is this figure ?
If you know how to do this please help me.
Answer:
Undefined or no values (assuming no negative zero)
Step-by-step explanation:
The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.
keiko has bought 36pounds of dog food, she feed the dog 3/4 pound of food each meal. how many meals would this last
Answer:
48 meals
Step-by-step explanation:
36lbs ÷ 3/4lbs = 48
Use the following coordinate plane to write the ordered pair for each point.
Step-by-step explanation: When finding the coordinates
of a given point, be very careful with your signs.
On the x-axis, left means negative and right means positive and
on the y-axis, down means negative, and up means positive.
So to find the coordinates for point A, we start at the origin,
which is the point (0, 0), and we move 2 units to the left and 4 units up.
So that's the point (-2, 4).
Remember to go left or right first, then up or down.
So for point B, we go 0 units to the left or right and 3 units down.
So that's the point (0, -3).
For point C, we move 4 units to th
right and 4 units down so tha's (4, -4).
A triangular fence is built with sides each of length 15 m, 14 m, and 24 m, respectively. To the
nearest degree, what is the measure of the smallest angle made by the fence?
9514 1404 393
Answer:
33°
Step-by-step explanation:
The law of cosines tells you ...
a² = b² +c² -2bc·cos(A)
Solving for A, we get ...
A = arccos((b² +c² -a²)/(2bc))
A = arccos((15² +24² -14²)/(2·15·24)) = arccos(605/720)
A ≈ 32.8305°
The smallest angle is about 33°.
Use the Distributive Property to write an expression that is equivalent to 2(3v + 6)
Answer:
6v + 12
Step-by-step explanation:
2(3v+6) = 2 * 3v + 2 * 6 = 6v + 12
Hope this helps =]
URGENT PLZ HELP
Find the measure of the arc or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.
Answer:
Step-by-step explanation:
ok I forgot to tell you the arc PTR would be 126 +54 +14(4) +4 which equals 240 degrees. Answer.
Simplify 4(5x + 8) show work please
Answer:
20x+32
Step-by-step explanation:
4(5x+8)
4*5x + 4*8
20x+32
Imaginary numbers. What is (-i)^5?
At the end of the first day three of the cricketers scored these runs 28, 61 and 39
The man adds them together and the total score is 128
But his friend checks his calculation by using approximation
Show how the friend used approximation to check the calculation
Answer:
His friend took one from 61 and added it to 39. That made it easy to mentally add 40 and 60 to get 100. Then he mentally added 28 to 100 to get 128.
Solve the system of equations. y = 7x - 53 y = -4x + 35 a. ( -3, -8) c. ( -8, 3) b. ( 8, 3) d. No solution Please select the best answer from the choices provided A B C D
Answer:
b. (8, 3)Step-by-step explanation:
[Linear System with Two Variables]
Given that:
y = 7x - 53y = -4x + 35(i) Find the value of x
Substitute the value of y in -4x + 35 with 7x - 53
Therefore we get
7x - 53 = -4x + 35-4x to the left side of "=" = + 4x
-53 to the right side of "=" = + 53
we get:
7x + 4x = 53 + 35
11x = 88
x = 8 ✅(ii) Find the value of y
y = 7x - 53
put x = 8 after the coefficient = 7
y = 7·8 - 53
y = 56 - 53
y = 3 ✅The value of (x, y) =
(8, 3) ✅Option B
__________________
#StayPositive - kexcvi
From Indonesia
ill mark brainlist plss help
Step-by-step explanation:
Perimeter of rectangle = 2(l+b)
= 2(97+17)
= 2(114)
= 228cm
Answer:
P = 228 inches
Step-by-step explanation:
P = 2(l + w)
l = 97 inches
w = 17 inches
P = 2 (97 + 17)
P = 2 x 114
P = 228
Please help me with this question!!
P.S you need to sort it
Answer:
what grade are u?
Step-by-step explanation:
I'm assuming you want to know what "x"is. If so then for the first one x is 1/7. For the second one x= 5. And the last one is x= 3.
Step-by-step explanation:
To check you just substitute what ever x equals into the equation so 35x+5=10 would be 35(1/7)+5=10 and it should equal 10=10, which means infinite solutions. If you were not trying to find out what x equals then what are you looking for exactly?
LOOK AT THE PICTURE!!
Answer:
it is data
Step-by-step explanation:
just look at it and describe its properties
Bye,
Canus Lupus
Simplify:-(x+9)
Plz help
Answer:
-x-9
Step-by-step explanation:
-(x+9)
The "-" at the beginning can be rewritten as -1
=-1(x+9)
To distribute -1 into the parentheses, multiply each value inside by -1
=(-1)(x)+(-1)(9)
=(-x)+(-9)
= -x-9
I hope this helps!
Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.
Only answer if sure
Answer:
second option.
Step-by-step explanation:
mark me as brainliest plz
Solve the following values for x and y 1) (8x + 7) 5y (7y - 34) (9x - 4)
9514 1404 393
Answer:
x = 11y = 17Step-by-step explanation:
Vertical angles have the same measure, so we can equate expressions for each vertical angle pair:
top and bottom
8x +7 = 9x -4
11 = x . . . . . . . . . . add 4-8x to both sides
left and right
7y -34 = 5y
2y = 34 . . . . . . . . add 34-5y to both sides
y = 17 . . . . . . . divide by 2
_____
Additional comment
As a check on the integrity of the problem, we can see if these angles form linear pairs.
8x+7 = 8·11+7 = 95
5y = 5·17 = 85
95 +85 = 180 . . . . . . angle values have the expected relationship
9. Zuleyka compró una bicicleta por $149. Pagó un pronto de $50. Si pagó $9
semanalmente, ¿cuántas semanas le tomó a Zuleyka pagar la cantidad completa de la
bicicleta? *
(1 Point)
OA.
5
B В
9
C
11
D
16
Answer:
h s m s dhoni bold sin men farhan akhtar ne
Given: c=58, b=15, angle B=15 degrees a= ?
a. 60
b. 52
c. 56
Answer:
c. 56
Step-by-step explanation:
To Find a= it would be opposite of angle A.
We could use trig ratios for this question.
Cos B= a/c
Cos 15= a/58
a = (cos15)(58)
a=56