Solution :
The objective of the study is to test the claim that the loaded die behaves at a different way than a fair die.
Null hypothesis, [tex]$H_0:p_1=p_1=p_3=p_4=p_5=p_6=\frac{1}{6}$[/tex]
That is the loaded die behaves as a fair die.
Alternative hypothesis, [tex]$H_a$[/tex] : loaded die behave differently than the fair die.
Number of attempts , n = 200
Expected frequency, [tex]$E_i=np_i$[/tex]
[tex]$=200 \times \frac{1}{6} = 33.333$[/tex]
Test statistics, [tex]$x^2= \sum^6_{i=1} \frac{(O_i-E_i)^2}{E_i} $[/tex]
[tex]$=\frac{(28-33.333)^2}{33.333}+\frac{(29-33.333)^2}{33.333}+\frac{(40-33.333)^2}{33.333}+\frac{(41-33.333)^2}{33.333}+\frac{(28-33.333)^2}{33.333}+$[/tex][tex]$\frac{(34-33.333)^2}{33.333}$[/tex]
≈ 5.8
Degrees of freedom, df = n - 1
= 6 - 1
= 5
Level of significance, α = 0.10
At α = 0.10 with df = 5, the critical value from the chi square table
[tex]$x^2_{\alpha}= \text{chi inv}(0.10,5)$[/tex]
= 9.236
Thus the critical value is [tex]$x_{\alpha}^2=9.236$[/tex]
[tex]$P \text{ value} = P[x^2_{df} \geq x^2]$[/tex]
[tex]$=P[x^2_5\geq 5.80]$[/tex]
= chi dist (5.80, 5)
= 0.3262
Decision : The value of test statistics 5.80 is not greater than the critical value 9.236, thus fail to reject [tex]$H_o$[/tex] at 10% LOS.
Conclusion : There is no enough evidence to support the claim that the loaded die behave in a different than a fair die.
ASSIGNMENT DUE IN 30 MINS PLZ HELP!!!!
I WILL GIVE U BRAINLIEST!!!
An engineer designed a new bridge and drew the scale drawing shown below. 6 Inches If the engineer used the scale 3 inch = 40 feet, how long is the actual bridge the engineer designed?
Answer:
The bridge is 80 feet long
Step-by-step explanation:
We will use the ratio method to solve the question
∵ The engineer used the scale 3 inch = 40 feet
∴ The scale drawing is ⇒ 3 inche : 40 feet
∵ The drawing length of the bridge is 6 inches
→ By using the ratio method
→ inch : feet
→ 3 : 40
→ 6 : x
→ By using cross multiplication
∵ 3 × x = 6 × 40
∴ 3x = 240
→ Divide both sides by 3
∴ x = 80
∵ x represents the actual length of the bridge
∴ The bridge is 80 feet long
please help it’s with a graph thank you so much
What is the slope and does it pass?
Answer: no.
Step-by-step explanation:
it's 1 tenth
If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.
Answer:
Step-by-step explanation:
1
. Start by making a "let statement."
Let
x
represent the weight of the package.
2
. Create an algebraic expression.
5
7
x
=
40.5
i
pounds
3
. Isolate for
x
by dividing both sides by
5
7
.
5
7
x
÷
5
7
=
40.5
i
pounds
÷
5
7
4
. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.
5
7
x
⋅
7
5
=
40.5
i
pounds
⋅
7
5
5
. Solve for
x
.
5
⋅
7
7
⋅
5
x
=
40.5
⋅
7
5
i
pounds
x
=
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
56.7
i
pounds
a
a
∣
∣
−−−−−−−−−−−−−−−
Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.
Answer:
100feet
Step-by-step explanation:
Given the height of the object modelled by the equation
y = -16x^2 + 48x + 64
We can find the maximum height reached by the object since we are not told what to find.
The velocity of the object at its max height is zero.
dy/x = 0
dy/dx = -32x + 48
0 = -32x + 48
32x = 48
x = 48/32
x = 1.5secs
get the max height by substituting x = 1.5 into the given equation:
y = -16x^2 + 48x + 64
y = -16(1.5)^2 + 48(1.5)+ 64
y = -36+72+64
y = 100 feet
Hence the maximum height reached by the object is 100feet
There are 8 triangles and 6 circles. What is the simplest ratio of circles to total shapes?
Answer:
4:3
4 being triangles and 3 being circle.
Essentially, for every 4 triangles there are 3 circles.
Let me know if you need more help, :)
The ratio of number of circles to the total number of shapes is 3 : 7
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the total number of triangles be = A
Now , the value of A is 8
Let the total number of circles be = B
Now , the value of B is 6
So , the equation will be
The total number of shapes = total number of triangles + total number of circles
The total number of shapes = 8 + 6
The total number of shapes = 14 shapes
Now , the ratio of total number of circles to total number of shapes is =
total number of circles : total number of shapes
Ratio of total number of circles to total number of shapes = 6 : 14
On simplifying the ratio , we get
Ratio of total number of circles to total number of shapes = 3 : 7
Hence ,
The ratio of number of circles to the total number of shapes is 3 : 7
To learn more about proportion click :
https://brainly.com/question/7096655
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For every 242424 meals Momoka prepared for customers last night, she prepared 222 meals for employees. Momoka prepared 156156156 meals. How many meals did Momoka prepare for customers and for employees last night?
9514 1404 393
Answer:
13 meals for employees143 meals for customersStep-by-step explanation:
2/24 = 1/12 of the 156 meals were for employees. That is ...
156/12 = 13 meals . . . . for employees
The remaining 156 -13 = 143 meals were for customers.
A recipe uses 2 1/4 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.
Answer: 22 1/2 cups
Step-by-step explanation:
multiply 2 1/4 (2.25) by 10 and you get 22.5 or 22 1/4 cups
If 1 1/2 sections are 3/4 mile long, how long is each section?
Answer:
1/2 mile
Step-by-step explanation:
.75 mile /1.5 sections = .5 mile/section
Deon had $25. Then he spent $15 on lunch. What percentage of his money did Deon spend on lunch?
Answer:
Deon spent 60% of his money on lunch.
Step-by-step explanation:
how do you find the y - intercept (explain in sentences)
Order from least to greatest
6.8
The square root of 54/3
The square root of 13
26/3
PLEASE HELP
The scale on Todd's map is 1 inch = 200 miles. The distance
from his house to his Grandma's house on the map is 5 1/4 inches.
What is the distance in miles from Todd's house to his Grandma's
house?
Answer:
1,050 miles
Step-by-step explanation:
First: Convert any mixed numbers to fractions.
Then your initial equation becomes: Applying the fractions formula for multiplication,
2/14×200/1
Applying the fractions formula for multiplication,
21×200
4×1
=42004
Simplify
1,050
Which pair of angles must be supplementary?
O 1 and 6
O 2 and 5
O 5 and 4
O Z6 and2
Where’s the image? There has to be an image showing the angles to see which pairs of angles are supplementary.
PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x
Step-by-step explanation:
multiply all the numbers by 4 I think except for the exponent
Answer:
i-i13/2 hope this helps
Step-by-sitep explanation:
PLS HELP!!
What is the volume of a cone with a radius of 5 inches and a height of 12 inches? (Use 3.14 for .)
942 cubic inches
314 cubic inches
376.8 cubic inches
125.6 cubic inches
Answer:
The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.
Step-by-step explanation:
i think thats it it was right on gogle
what is the answer to 2.6=-0.2t
Answer:
-13
Step-by-step explanation:
Answer:
t = -13
Step-by-step explanation:
2.6 = -0.2t Equation
2.6 / -0.2 . = -0.2t/-0.2 Divide -0.2 on both sides
t = - 13 Simplify
1. solve for x
2(-3x+1) < -5x+14
2. -2(3x+15) less than or equal to 42
Answer:
For your first question, the solution is x> -12
Step-by-step explanation:
First, expand 2(-3x+1), writing it as -6x+2
Next, subtract both sides by 2;
-6x + 2 - 2 < -5x + 14 - 2
Then, we simplify;
-6x < -5x + 12
Next, add both sides to 5x;
-6x + 5x < -5x + 12 + 5x
Simplify;
-x<12
Then, multiply both sides by -1, using reverse of inequality;
(-x)(-1)>12(-1)
Finally, simplify;
x>-12
Answer:
The answer to your second question is x is greater than or equal to -12.
Step-by-step explanation:
First, multiply both sides by -1, reversing the inequality;
(-2(3x+15))(-1) greater than or equal to 42(-1)
Next, simplify;
2(3x+15) greater than or equal to -42
Then, divide 2 from both sides;
2(3x+15/2 greater than or equal to -42/2
Next, simplify;
3x + 15 greater than or equal to -21
Then, we subtract both sides by 15;
3x+15-15 greater than or equal to -21-15
Simplify;
3x greater than or equal to -36
Next, divide 3 from both sides;
3x/3 greater than or equal to -36/3
Finally, simplify;
x greater than or equal to -12
I hope we helped you answer your question.
Question 1 of 10
Which of the following best describes the slope of the line below?
O A. Zero
O B. Positive
O C. Negative
O D. Undefined
Answer:
B
Step-by-step explanation:
Anybody wanna help me on this?
Answer:
(0,-2) , (2,1) , (4,4)
Step-by-step explanation:
those are the points, now connect then with a line
PLEASE HELP!! WILL GIVE BRAINLIEST!!!
12 cups= 3 quarts
there ya goo
PLEASE HELP SEE PHOTO
[-00,-3] or (6,o)
(-οο,-3] or [6,o)
(-0,-3) or (6,o)
(-η, -3] or (6, ω)
A store is having a 20 percent off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.
Answer:
$65
Step-by-step explanation:
Given
Percentage discount = 20%
Equivalent amount saved = $13
Let the original price of the product be x
To get x;
20% of x = 13
0.2x = 13
0.2x = -13
0.2 = 13
x = 13/0.2
x = $65
Hence the original price of the product is $65
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))!!!!!!!!!! !!!!!!!!!
Answer:
yes
yes
no
no
no
Step-by-step explanation:
--> The managers want to know how many boxes of 12 cookies can
be filled with the 3,258 cookies that have been baked. Fatima
starts by subtracting the largest number of boxes she can easily
calculate. She knows that 100 boxes of 12 cookies can be put into
one crate. How many crates can be filled from the total of 3,258
cookies?
Answer:
271 boxes
Step-by-step explanation:
Answer:
3 crates are required for 3258 cookies
Step-by-step explanation:
since the boxes can have 12 cookies each
number of boxes = number of cookies / number of cookies per box
number of boxes = 3,258 cookies / 12 cookies/box = 271.5 boxes = 272 boxes (271 completely filled and one halfway filled)
since each crate can hold 100 boxes
number of crates = number of boxes / number of boxes per crate
number of crates = 272 boxes/ 100 boxes/crate = 2,72 crates = 3 crates (2 completely filled and one 72% filled)
therefore the number of required crates for 3258 cookies is 3
Step-by-step explanation:hope i helped you
Twelve plus the product of twelve and a number is seventy-two.”
Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?
Answer:
A haircut costs $31
Coloring hair costs $93
Step-by-step explanation:
h = haircut
c = color
First equation: 1h + 2c = 217
Second equation: 2h + 1c = 155
Solve using elimination:
First, multiply both the equations so that they cancel the h's out:
First equation:
-1(2h + 1c = 155)
-2h - 1c = -155
Second equation:
2(1h + 2c = 217)
2h + 4c = 434
Then, put the equations together, and solve:
2h + 4c = 434
-2h - 1c = -155
3c = 279
c = 93
Find h:
2h + 1c = 155
2h + 1(93) = 155
2h + 93 = 155
2h = 62
h = 31
Hope this helped!
I will award 30 points to anyone that can solve this. If i fail i have to retake
Answer: it’s all in the pictures hope this helps!!:)
Step-by-step explanation:
Answer:
x=-4, y=1
Step-by-step explanation:
Find the measure of angle 1
Answer:
∠1 = 116
Step-by-step explanation:
Find the inner angle first, the inner angle will be represented with x, also a triangle is 180 degrees, so:
57 + 59 + x = 180
116 + x = 180
subtract 116 from both sides
x = 64
So now u have the inner angle, and a straight line is also 180 degrees, so:
64 + ∠1 = 180
subtract 64 from both sides
∠1 = 116