Answer:
Part A
The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend
The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend
Part B
P-value from;
Tables, 0.1 < P([tex]\chi^2[/tex] < 4.12) < 0.9
Chi-square calculator, P([tex]\chi^2[/tex] < 4.12) = 0.87
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{ccc}Day&&Number\\Fri&&21\\Sat&&19\\Sun&&10\end{array}[/tex]
The significance level, α = 0.05
Part A
The hypothesis is to test that the given injuries and illnesses occur with equal frequency of the weekend
The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend
The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend
Let the expected frequency, each day of the weekend = (21 + 19 + 10)/3 = 50/3 = 16.[tex]\overline 6[/tex]
We get;
[tex]\begin{array}{ccc}Day & Observed \ Number& Expected \ Number \\Fri&21& 16.\overline 6\\Sat&19&16.\overline 6\\Sun&10&16.\overline 6\end{array}[/tex]
The chi-square test statistics
[tex]\chi^2[/tex] = (21 - 50/3)²/(50/3) + (19 - 50/3)²/(50/3) + (10 - 50/3)²/(50/3) = 4.12
The [tex]\chi^2_u[/tex] with (3 - 1) = 2 degrees of freedom = 5.991
The decision rule, [tex]\chi^2[/tex] > 5.991, we reject the null hypothesis
Given that we have [tex]\chi^2[/tex] = 4.12 < 5.991, we fail to reject H₀, therefore, there is not enough statistical evidence to suggest that the meal plan are related at α = 0.05
Part B
From the chi-square table, we have the p-value at 2 degrees of freedom for the test statistic of 4.12 is between 0.9 and 0.1
Using the chi-square calculator, we have;
P([tex]\chi^2[/tex] < 4.12) = 0.87.
Someone help me with this pls
Answer:
5-² is your correct answer
Answer:
=5^10/5^12
= 5^10-12
=5^-2
20 points! pls helppppp it's almost recognition day for me!!
I'm sorry but i'm bad at math ;-;
using the given figures, find the values of the unknown variables
(PROVING ISOSCELES TRAPEZOID)
someone help please :)!
Answer:
Picture again the pic is blurd
find the value of x. round your answer to the nearest tenth.
Answer:
The answer is A. 77.
Step-by-step explanation:
Using trigonometry formula
We know, tan = opposite/adjacent
So, tan x° = 13/3
=> x° = [tex]tan^{-1}[/tex](13/3)
∴ x° = 77.005° ≈ 77.01°
Answer:
A 77
Step-by-step explanation:
What is the volume of the prism in cubic inches ?
what is the surface area in square inches ?
Answer:
Step-by-step explanation:
Volume
V = B * h
B = 1/2 a * b
Solution
Area of Triangles = B = 1/2 * 6 * 8
Area of Triangles = B = 24 square inches
Volume = B * H
Volume = 24 * 12
Volume = 288 cu in
Surface Area
Triangles
Area of one triangle = 24 square inches [ See Above ]
Area of two triangles = 48 square inches
Left Side
Area = L * W
L = 12
W = 8
Area = 12 * 8
Area = 96
Right side
Area = L * W
L = 12
W = 6
Area = 12 * 6
Area = 72
Area Back
L = 12
W = 10
Area = 12 * 10
Area = 120
Total = 120 + 72 + 96 + 48 = 336 square inches
Find the area of a circle with radius, r = 5.78m.
Give your answer rounded to 2 DP.
Answer:
104.96
Step-by-step explanation:
Hope this helps :)
The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. What is the average distance from venus to mars?
Answer:
The average distance from venus to mars is 2.5x10⁸ kilometers.
Step-by-step explanation:
We know:
d₁: average distance between venus and earth = 2.5x10⁷ km
d₂: average distance between mars and earth = 2.25x10⁸ km
We can find the average distance from venus to mars as follows:
[tex] d_{t} = d_{1} + d_{2} [/tex]
First, we need to equal the base power 10 so we can sum both distances:
[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]
Now, average distance:
[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]
Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.
I hope it helps you!
I need help with this answer
Answer:
less than or equal to
Step-by-step explanation:
Answer:
less equal to. hope it helps
Every day, Jackie practices basketball and guitar. Each day,
she practices basketball for 1.5 hours. If after 6 days she
practiced both basketball and guitar for a total of 21
hours, how many hours per day did Jackie practice guitar?
(NO LINKS PLEASE) Look at the attached photo. Imagine that at the intersection of ry_EG and ln_DF we placed a point M. Which of the following most completely describes the new elements have we created?
A.
B.
C. two rays
D. one angle
E. ry_MD and ry_MF
F. ry_MG
Answer:
Hi, I can't help you with this sorry ( I suck at maths) but I think we have the same biology work so do you mind maybe helping each other? I would love somebody to talk to and to meet someone so we can work together :) Currently, I am doing an online school and have no friends :( I would really appreciate it if you took your time to contact me!
Thank u <3
(Sorry for taking the points I don't really use mine so if you want I can make a question like 2+2 so I can give you even more points)
Explain how to find the volume of the four ice cubes in the glass below if each ice cube is 2 inches wide. Pls help
The total volume of the ice cubes is 32 in^3
We know that, for a cube of side length L, the volume is:
V = L^3
So if we know that each of the ice cubes is 2 inches wide, we can see that the side length of each ice cube is 2 inches.
Then we have L = 2in
Then the volume of each ice cube is:
V = (2in)^3 = 8 in^3
And we have four of these, then the total volume is 4 times the volume of a single ice cube.
Total volume = 4*( 8 in^3) = 32 in^3
If you want to read more about this topic, you can see:
https://brainly.com/question/24328827
What is the measure of the third angle in the similar triangles below?
A. 25
B. 65
C. 85
D. 115
Answer:
Step-by-step explanation:
c. 85 ?
a flower garden is in the shape of an equilateral triangle. each side measures 15 3/8 ft. what is the gardens perimeter
Answer:
16.125 is the perimeter
Step-by-step explanation:
Multiply 15.375 × 3 because a triangle has three sides and is equilateral.
15.375 × 3 = 16.125
Have a great day!
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
30 m
Step-by-step explanation:
Picture the question as a triangle
The length of the string is the hypotenuse, 60 m
The angle from the ground is 30
The right angle C is from the height of the kite to the ground
The missing angle A 60 is located on the top of the kite
now find b, the height
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(A)=adj/hyp
cos(A)=b/c
b=c*cos(A)
b=60*cos(60)
b=30
PLEASE HELPPPPP ( will make brainliest )
Doris and Mavis win some money. If they shared it in the ratio 3:5 Doris would get £135. Work out how much more would she get if, instead they shared it in the ratio 4:5. please help! <3
Answer:
180
Step-by-step explanation:
3x=135
x=45
4x45=180
I HAVE 13 MINS LEFT HURRY PLEASE
If $3,200 is invested at a rate of 5.5%, compounded quarterly, calculate the value of the investment after
4 years. Round to the nearest dollar.
Hint: Use the formula below
A=P(1+r/n)^nt
Answer:
A = $13,366.37
A = P + I where
P (principal) = $10,000.00
I (interest) = $3,366.37
Step-by-step explanation:
Answer:
$3964
Step-by-step explanation:
A=P(1+r/n)^nt
So 3964(1+.055)^4
Comes out to 3964.238882. Then round
Hope this helps
Brainliest would be appreciated
Becker and Kayla are members of the school chess team. They record the number of games they each play for 10 days. The data are shown below
Becker: 5,2,4,1,1,4,5,3,2,1
Kayla: 2,3,1,1,4,1,5,3,5,5
Based on the data, which estimate represents the mean of number of games chess team members play per day?
A.) 1
B.) 3
C.) 4
D.) 10
Answer:
B.) 3
Step-by-step explanation:
You add up all of the numbers from Beck which is 28. Now you do the same thing for Kayla, add up all the numbers from Kayla which equals 30. You add up their chess games 28 + 30 = 58 and then divide by the total number of days they played.. 20. 58/20 = 2.9. You round to the nearest tenth which would get you 3.
I hope this helps!! :)
Identify a diameter of circle E. A) AC B) HI C) EB D) GF
Answer:
B) HI
Step-by-step explanation:
Help find the value of x please
Answer:
138
Step-by-step explanation:
Because 180-42
(1/2) 4/? = ?
A :4/8
B:1/8
C:4/16
D:1/16
Answer:
A: 4/8
Step-by-step explanation:
1/2 is the same as 4/8 because if we divide 4 to both the numerator (4 divided by 4) and the denominator (8 divided by 2), we get 1 for the numerator and 2 for the denominator.
the perimeter of a square is 32cm. find the area
Answer:
64 cm
Step-by-step explanation:
If the perimeter of a square is 32cm. Each side is the same length, and there are 4 sides. 32÷4=8
Each side equals 8. 8•8=64 The area is 64cm.
3-gallon bottle of fabric softener costs $18.00. What is the price per quart? ( 1 gallon = 4 quarts)
Please help me find area of circle
Answer:
12.568m^2
Step-by-step explanation:
A=πr^2 where r is. radius
=3.142(2^2)
=3.142(4)
=12.568m^2
Answer:
8m
Step-by-step explanation:
helppppppppp meeeeeeeeeeeee
hurry
Answer:
9 feet im pretty sure
Step-by-step explanation:
Answer:
yolo
Step-by-step explanation:
HELP
Suppose that a random parabola has a maximum vertex at (-7, 1). What
would be the value of the Axis of Symmetry for this parabola?
EXPLAIN
Answer:
x = -7 or y = 1
Step-by-step explanation:
Since we are not given the actual formula for the parabola, we do not know in which direction the parabola is facing. The axis of symmetry is the value of the line that splits the parabola perfectly down the middle, to calculate this we need to know in which direction the parabola is facing. Since we do not have this information and only have the maximum vertex we can provide the two possible values for the Axis of Symmetry, which would be the following...
x = -7 or y = 1
What is the length of the hypotenuse
Answer:
10
Step-by-step explanation:
8 to the second power is 64
6 to the second power is 36
36+64=100
the square root of 100 is 10
so 10 is the length of the hypotenuse
Hope this helps!
The diameter of Circle X is 18 cm. The diameter of Circle Y is 29 cm. Which circle has the greater area and by how much? Use 3.14 for . Use pencil and paper. Describe two ways you can compare the areas of two circles. Explain when you might prefer to use each.
A jar contains 15 quarters, 9 dimes, 10 nickels and 6 pennies. A coin is selected at random, not replaced, then another coin is selected. Find the probability of the event. P(quarter, then penny)
Answer: 0.058
Step-by-step explanation:
Number of quarters = 15
Number of dimes = 9
Number of nickels = 10
Number of pennies = 6
Total number of coins = 40
The probability of selecting a quarter first will be 15/40 = 3/8
Since it's not replaced, there'll be 39 coins left and the probability of choosing a penny is 6/39 = 2/13
Therefore, P(quarter, then penny) will be:
= 3/8 × 2/13
= 6/104
= 0.058
Find the volume given x=5 w=21, y=10 and z=30
Answer:
Volume is 15750
Step-by-step explanation: