Answer:
12.57
Step-by-step explanation:
2 π r d= 2 r
Solving for C
C= d = π 4 ≈12.56637
Chloe breaks into the pantry after Albert goes to work. She finds and opens a family-pack of mixed nuts. After surfing the web, she finds that these packs claim to be 20% almond (A), 30% cashew (C), 10% macadamia (M), and 40% peanut. Chloe discovers that her bag contains 14 almonds, 28 cashews, 6 macadamias, and 52 peanuts.
a) Perform an appropriate test to determine whether this claim is true or not at a = 0.05. State all the relevant steps (listed in exercise 1).
b) What is the decision and conclusion (write a sentence) at a = 0.1?
c) Chloe is a choosy and sneaky doggie. She likes to find a p-value first and then come up with a significance level, a later so she can reject as many Hos as possible. Is her method acceptable?
Solution :
In this case we have to use [tex]$\text{chi square test}$[/tex] for the goodness of fit.
Null hypothesis is : [tex]$H_0 :$[/tex] Data follows the given distribution
Alternate hypothesis is : [tex]$H_a:$[/tex] Data do not follow the given distribution
The level of significance, [tex]$\alpha = 0.05$[/tex]
The test statistics is given by :
Chi square = [tex]$\sum\frac{(O-E)^2}{E}$[/tex]
Here O is the observed frequencies
E is the expected frequencies
So we have, N = number of the categories = 4
df = degrees o freedom = N - 1
= 4 - 1 = 3
Critical value = [tex]$7.814727764$[/tex]
Calculating the table for the test statistics are given as :
Category prop. O E [tex]$\frac{(O-E)^2}{E}$[/tex]
A 0.2 14 20 1.80
C 0.3 28 30 0.13
M 0.1 6 10 1.60
P 0.4 52 40 3.60
Total 1 100 100 7.13
The test statics = chi square = [tex]$\sum\frac{(O-E)^2}{E}$[/tex] = 7.13
[tex]$X^2$[/tex] statistics = 7.13
P-value = 0.067767248
P -value > [tex]$\alpha = 0.05$[/tex]
Therefore, we do not reject the [tex]$\text{null hypothesis}$[/tex]. There is sufficient evidence to conclude that the data follows the given distribution. So there is sufficient evidence to conclude the given claim is true.
The table shows the number of points Malik and Alexia scored while playing a video game together. Which equation relates Alexia’s score, a, to Malik’s score, m?
A. a=0.5m
B. a=1.5m
C. a= m+10
D. a=m+30
Answer:
D. a = m + 30
Step-by-step explanation:
It's not A, because that would be dividing Malik's score in half to get Alexia's score.
B only works for the first line.
C is adding 10 to Malik's score, and the difference is greater than that...it's 30 points.
f(x) = 3√4x
g(x) = 2x + 3
Find ( f/g) (x). Include any restrictions on the domain
Answer:
B
Step-by-step explanation:
To find [tex](\frac{f}{g} )(x)[/tex] you can write the expression as [tex]\frac{f(x)}{g(x)}[/tex]. We can substitute the f(x) and g(x) into the expression to get: [tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex]. Now we need to find the domain. The numerator is fine, and the domain is all real numbers, but in a fraction, the denominator cannot equal 0. We can write: [tex]2x + 3\neq 0[/tex] and we can solve it:
[tex]2x\neq -3[/tex]
[tex]x\neq -\frac{3}{2}[/tex]
This is the same as option B.
The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2. Option C is correct
Given the functions
f(x) = 3√4x
g(x) = 2x + 3
We are to find the resulting function (f/g)(x)
(f/g)(x) = f(x)/g(x)
(f/g)(x) = 3√4x/2x+3
Restriction to the function occurs at the point where the denominator is zero.
2x = 3 = 0
2x = -3
x = -3/2
Hence the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2
Learn more here: https://brainly.com/question/11187697
Maya needs 54 cubic foot of soll for her garden, She already has 4,5 cubic feet of
soll. Each bag contains 1.5 cubic feet of soll. How many bags of soil should Maya
purchase?
Please help I will mark you brainliest
A.33
B. 9
C. 36
D. 12
what is 2476476263278x342234324
Answer:
8.4753518e+20
Step-by-step explanation:
I used calculator. You should've used a calculator too.
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
[tex]g(x)=(x-4)^2+1[/tex]
Step-by-step explanation:
The graph is shifted 4 to the right and 1 up. When a graph is moving left or right, the sign switches. Right means -, left means +.
The equation of the blue graph is g(x) = (x+4)² - 2
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
x+4 because adding 4 to the x coordinate would shift it over 4
y+2 because adding 2 to the y coordinate would shift it up 2
⇒ g(f(x)) = ( x+4, y +2 )
⇒ g(x) + 2 = (x+4)²
Hence, the equation of the blue graph is g(x) = (x+4)² - 2
Learn more about parabola here:
brainly.com/question/4074088
#SPJ5
20 points! And BRAINLIEST!
Answer:
32 sq. ft.
Step-by-step explanation:
1/2 (8x8)=1/2(64)=32
Michelle has 3/5 pounds of sugar. She gave her neighbor some sugar. Now she has 1/2 pounds of sugar left. How much sugar did she give to her neighbor?
Answer: 1/10
Step-by-step explanation:
Answer:
1/10 pound
Step-by-step explanation:
If you set up the equation as 3/5 - 1/2, you'll have to give them a common denominator. Multiply 3/5 by 2 and multiply 1/2 by 5, and now you can rewrite this equation as 6/10 - 5/10. From here, just subtract and you'll get 1/10.
7m + 3mn
when m = 3 and n = -4
Answer:
-15
Step-by-step explanation:
When m=3 and n=-4
So, put the values
7(3)+3(3)(-4)
-> -15
Answer:
-15
Step-by-step explanation:
= 7(3) + 3(3)(-4)
= 21 + 3(3×-4)
= 21 + 3(-12)
= 21 + -36
= 21-36
= -15
n more than 12
A) n/12
B) 12 +n
C) 22
D) 12-n
Answer:
B) 12 +n
Step-by-step explanation:
"More than" is a key word.
Whenever you see more than, you are adding.
The terminal side of in standard position contains the point (20, 21) . Find the exact values of the six trigonometric functions of? Please help
Answer:
27,29
Step-by-step explanation:
What 3 dimensional solid will be formed by rotating the given figure around the given line of symmetry?
Answer:
option D)
Step-by-step explanation:
when a equilateral triangle is rotated about x-axis
rotating equilateral triangle about x-axis will lead to the formation of cone in.
the height of the equilateral triangle will represent height of the cone.
the base of the equilateral triangle will represent the circular base of the cone
and the slant height of the cone will represented by the sides.
hence, the correct answer will cone which is option D)
please help me with this. will give brainliest due in 5 minutes
Answer:
A
Step-by-step explanation:
pls help 10 pts
NO LINKS
Answer:
784
Step-by-step explanation:
First get the total area of the rectangle
40 * 20 = 800
Now get the triangle.
The base will be 20 - 16 = 4
The height will be 40 - 32 = 8
Your formula for area of a triangle is
A = height * (base/2)
A = 8 * (4/2)
A= 8 * 2
A = 16
Now substract the triangle from the total of the rectangle
800 - 16
Write an equation for the proportional relationship shown in the table
Answer:
y =74x
Step-by-step explanation:
A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.
What do we do to the values in the row for x to get the values in the row of y?
It helps to have x = 1 in this table.
74 = (k)(1)
74 = k
A hotel has 20 rooms.
A big room costs $30.
A small room costs $10.
If they rent all the rooms and make $480.
How many Large rooms?
How many Small rooms?
Como se escribe el numeral 300,105,020 4to grado
A right rectangular pyramid is sliced through its vertex and perpendicular to its base as shown in the figure.
What is the shape of the resulting two-dimensional cross section?
Answer:
Triangle
Step-by-step explanation:
When you slice it in half, it becomes a triangle because the big equilateral triangle is turned into a right triangle.
How long will it take $10,000 to double at 11% simple interest? (Round to the nearest year)
Answer:
[tex]I =\frac{P*R*T}{100} = \frac{10000 * 11 * T}{100} = 1100T[/tex]
Given A =20000
[tex]Amount = Interest + Principal\\20000 = 1100T + 10000\\20000 - 10000 = 1100T\\\\T= \frac{10000}{1100} = \frac{100}{11} = 9.09 years[/tex]
T =9years
Which equations is parallel to y=4x+8?
Answer:
y=4x-8
hope this helps
have a good day :)
Step-by-step explanation:
fy: 143 +1.42 + 2.9°
Answer:
what does fy mean
Step-by-step explanation:
Step-by-step explanation:
I tell my friends about this and I found that FY means Fiscal year
The soup pot is 8 inches tall with a radius of 3 inches.
What is the volume of the soup pot?
150.8 cubic inches
anything
99+
Answer:
The volume of the soup pot is of 226.19 cubic inches.
Step-by-step explanation:
Format of a soup pot:
A soup pot has a cylindrical format.
Cylinder volume:
The volume of a cylinder, with radius r and height g is given by:
[tex]V = \pi r^2h[/tex]
The soup pot is 8 inches tall with a radius of 3 inches.
This means that [tex]h = 8, r = 3[/tex]
What is the volume of the soup pot?
[tex]V = \pi r^2h = \pi*3^2*8 = 72\pi = 72(3.1415...) = 226.19[/tex]
The volume of the soup pot is of 226.19 cubic inches.
ASAP HELP PLEASE I WILL GIVEE 100 just help me please and ASAP
Answer:
A
Step-by-step explanation:
eddie has a steel rod that is 50 inches long. He uses a saw to cut off 2.75-inch pieces from the end of the rod. After cutting off a certain number of pieces, the steel rod is now 36.25 inches long. How many pieces did Eddie cut off the end of the steel rod?
a.) 4 pieces
b.) 5 pieces
c.) 7 pieces
Answer: B. 5 pieces
Step-by-step explanation:
36.25 + 2.75 = 39.00 + 2.75 = 41.75 + 2.75 = 44.50 + 2.75 = 47.25 + 2.75 = 50
Please Help if you can!! I also have more questions in my profile!
Answer:
(0, 9), (0, 0), (0, 1)
Step-by-step explanation:
Hope it helps you in your learning process.
How can you tell how many solutions a quadratic equation has by looking at its graph
Answer:
2
Step-by-step explanation:
A quadratic equation has two roots . If we wanna check it from the graph , then , the number of points on which it cuts x axis .
Find the length of c using the Pythagorean theorem
Answer:
13
Step-by-step explanation:
The Pythagorean theorem state
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = c^2
25+144 = c^2
169 = c^2
Take the square root of each side
sqrt(169) = sqrt(c^2)
13 = c
HELP
WILL
GIVE BRAINLIST
...
.
.
..
.
.
PLEASE HELP ME NOW!!!!!The television repair charge at "We Fix TVs" is $20 per hour plus a $60 flat fee charge. The television repair charge at "Electronic Depot" is $40 per
hour with no flat fee. Write a system of equations to model the charges for each repair shop.
Answer:
Step-by-step explanation:
we fix tvs
20h+60
electronic depot
40h+0
Simplify 3-b(7b+ 2) + 3b - (11 – b).
A.)-7b2 + 2b - 10
B.)-7b2 + 2b -8
C.)8b - 6
D.)-5b -8
Answer:
B
Step-by-step explanation:
Answer:
The Answer is gonna be B) -7b2 + 2b -8
Explanation :
= 3-b(7b+ 2) + 3b - (11 – b).
= -7b2 +
=7b2 - 2b +3b +b - 11 + 3
= 3- 7b2 - 2b + 3b- 11+ b
= 7b2 +2b - 8
Sorry I corrected my mistake and B was the right Answer :3
This is the right Answer :3
I hope you are having a great day ❤️❤️❤️❤️❤️