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 of the following sets of data does NOT represent a function? Set A x y 6 3 8 4 5 7 9 2 Set B x y 0 3 1 8 2 8 3 -7 Set C x y 10 7 20 11 30 9 40 7 Set D x y 3 9 2 2 8 -3 2 1 a. Set A b. Set B c. Set C d. Set D
Answer:
Set D
Step-by-step explanation:
There's 2 different y-values for the x value, 2 in Set D
Given f(x) = V(3 x – 12) +2, what is the range in set notation?
Answer:
Step-by-step explanation:
[2,∞)
Answer:
it's 2
Step-by-step explanation:
1. Find the degree measure and the length of arc AB:
120°
20 in.
Answer:
Degree measure of arc AB = 120°
Length of arc = 41.9 in.
Step-by-step explanation:
✔️Measure of Central angle is the same as Measure of the intercepted arc
Therefore,
Degree measure of arc AB = 120°
✔️Length of arc = [tex] \frac{\theta}{360} * 2 \pi r [/tex]
[tex] \theta = 120 [/tex]
r = 20 in.
Length of arc = [tex] \frac{120}{360} * 2 \pi * 20 [/tex]
= 41.887902
Length of arc = 41.9 in. (Nearest tenth)
please help it due today
Answer:
I think that your answer would be D .
Jamal gets ready for a basketball game by shooting 101010 free-throws. Based on previous data, he has a 70% chance of making each free-throw. Assume that the results of each free-throw are independent.
Which of the following would find the probability of Jamal making exactly 8 of 10 free-throws?
A) (10
7) (0.70)^7(0.30)^3
B) (10
8) (0.70)^8(0.30)^2
C) (10
8) (0.70)^2(0.30)^8
D) (70
10) (0.70)^8(0.30)^2
E) (0.70)^8(0.30)^2
Answer: you’re welcome
Step-by-step explanation:
The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).
How to find probability using binomial distribution?The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.
In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.
Given that,
The probability of making free-throw is 70% = 70/100 = 0.7
Then, the probability of not making free-throw is 1 - 0.7 = 0.3.
The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.
So, this case belongs to the binomial distribution which can be written as,
ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.
Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,
P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²
Hence, the probability of getting exact 8 free-throws out of 10 is ¹⁰C₈(0.8)⁸(0.3)².
To know more about binomial distribution click on,
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If the measure of angle 2 is 155 degrees, what is the measure of angle?
Need help question #3. Show steps please
Answer:
B.
Step-by-step explanation:
We are given:
[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]
And we want to select its equivalent form.
Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.
We can simply rewrite and then distribute. First, by rewriting:
[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]
Distribute. Recall exponent properties;
[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]
Simplify:
[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]
This can then be separated (since its addition/subtraction) and integrated individually.
Hence, our answer is B.
Find the distance between the points (7,8) and (7,3).
the distance is 5 points because it would take 5 points to get 7,8 from 7,3 !
Answer:
(7,5)
Step-by-step explanation
8 - 3 = 5 so (7,5)
What is the value of x in this equation: 4x+5=3x+4
a rectangular prism has a lenth of 2/3,a width of 1/2 and a height of 1/3 find the volume
Answer:
2/18 = 1/9
Step-by-step explanation:
2/3 x 1/3 = 2/9
2/9 x 1/2 = 1/9
Please help me with my homework
Answer:
0.8
Step-by-step explanation:
0.4*2=0.8
hope this helps.
Solve the quadratic equation by using either a numeric or a graphic approach.
Answer:
C
Step-by-step explanation:
x²-14x-49=0
x²-14x+49=49+49
(x-7)²=98
(x-7)²=49×2
x-7=±7√2
x=7+7√2=7(1+√2)≈7(1+1.414)≈7(2.414)≈16.898≈16.9
or
x=7-7√2=7(1-√2)≈7(1-1.414)≈-7×0.414≈-2.898≈2.9
A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches
Find the value of 5⁰ X 7⁰ X 3⁰
plz help asap
Answer:
5⁰ × 7⁰ × 3⁰ = 1
Step-by-step explanation:
5⁰ × 7⁰ × 3⁰ = ?
5⁰ = 1
7⁰ = 1
3⁰ = 1
1 × 1 × 1 = 1
Is 1.5399818181... a rational number?
Answer:
yes, cuz the rational numbers is said to be 0 or real numbers.
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).
MovieMania, an online movie rental website charges a one-time fee of $6.85 and $2.99 Per movie rental. Let m represent the number of movies you watch and let C represent the total cost to watch the movies. write an equation that relates the total cost to the numbers of movies you watch from MovieMania
Answer:
C=6.85+2.99m, where:
C is the total cost to watch the movies
m is the number of movies you watch
Step-by-step explanation:
From the information provided, you can say that the total cost to watch the movies would be equal to the one-time fee plus the result of multiplying the price per movie for the number of movies you watch, which can be expressed as:
C=6.85+2.99m, where:
C is the total cost to watch the movies
m is the number of movies you watch
CAN YOU PLEASE HELP IM BAD AT MATH LOL
Answer:
1090 in²
Step-by-step explanation:
The surface area of the two cube = 7x7x6 + 13x13x6 = 1308 in²
But noted that there are overlapping of the two cubes, thus we need to minus 7x7 in² from the answer. Also, we need to minus 13x13 from the answer as the bottom face of the larger prism do not require staining.
∴The required surface area is 1090 in²
The volume of the small cube and large cube will be 2540 in³.
What is a volume of a cube?Suppose that: The side length of the considered cube is L units. Then, we get:
Volume of that cube = L³ cubic units.
The edge length of the small cube is 7 in.
The edge length of the large cube is 13 in.
Then the volume of the small cube will be
Volume = 7³
Volume = 343 in.³
Then the volume of the large cube will be
Volume = 13³
Volume = 2197 in.³
Then the volume of the small cube and large cube will be
Volume = 2197 + 343
Volume = 2540 in.³
More about the volume of the cube link is given below.
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if the circumference of a circle is 52 cm, what is the radius? round to the nearest tenth. PLESE HELP I DONT HAVE THAT MUCH TIME :(
Answer:
8.3
Step-by-step explanation:
Given,
Circumference of the circle = 52 cm
Therefore ,
By the problem,
[tex] = > 2\pi r = 52[/tex]
[tex] = > 2 \times 3.14 \times r = 52[/tex]
[tex] = > r = \frac{52}{3.14 \times 2} [/tex]
=> r = 8.2802547771
Rounded to nearest tenth,
=> r = 8.3 (Ans)
What is the Area of this quadrilateral
C is the answer i just did this answer and get it correct
giving brainliest!! *easy*
Answer:
60.458
Step-by-step explanation:
it says the answer lol
A garden has the shape of an ellipse. Review the table of values that shows several points on the fence of the garden. The positive y-axis represents due north.
x
(in feet)
y
(in feet)
–144
0
0
150
144
0
0
–150
The gardener wants to place a scarecrow at one of the foci. Which phrase describes a possible location of the scarecrow relative to the center of the garden?
approximately 6 ft west of the center
approximately 42 ft east of the center
approximately 6 ft south of the center
approximately 42 ft north of the center
Answer:
D-42ft North of Center
Step-by-step explanation:
100 on quiz Edge 2021
Answer:
D
Step-by-step explanation:
What is the surface area of a right circular cylinder with a diameter of 14 meters and a height of 9 meters
Answer:
This is your answer ☺️☺️☺️
Pls hurry I need an instant answer ASAP! Thank you
Answer:
A= -2
Step-by-step explanation:
Hope I helped!! Negitive 2
Find f(-3) when f(x) = -x + 1
Answer:
4
Step-by-step explanation:
so when it says f(x)=-x+1
the x values are constant so what value is in f(x) the value of x goes right into -x+1
f(-3)=-x+1
f(-3)=-(-3)+1
f(-3)=4
Answer:
yea the anwser is 4
（>﹏<）
HELPPPPPPPPPPP!! SMART People?
its $1.07 my bad XD :P
Step-by-step explanation:
A pet shop sells a 6 can multipack of dog food for £3.18 and a 15 can multipack for £7.80. Which
multipack is the best value for money?
B UTI-
Write your answer
COOLE SETTINGS
Answer:
get some more help I don't understand
What are the measures of ∠1 and ∠2? PLEASE ANSWER
m∠1 = 58.2°, m∠2 = 75.5°
m∠1 = 67.4°, m∠2 = 104.5°
m∠1 = 75.5°, m∠2 = 67.4°
m∠1 = 104.5°, m∠2 = 58.2°
9514 1404 393
Answer:
(b) m∠1 = 67.4°, m∠2 = 104.5°
Step-by-step explanation:
It is easiest to find angle 2 first, then make your answer selection based on that.
The exterior angle 121.8° is the sum of the remote interior angles 17.3° and angle 2. Then ...
angle 2 = 121.8° -17.3° = 104.5° . . . . . . . matches the second choice
__
Angle 2 is an exterior angle of the top triangle. It, too, is the sum of the remote interior angles:
104.5° = angle 1 + 37.1°
angle 1 = 104.5° -37.1° = 67.4°
Answer:
C!
Step-by-step explanation:
m∠1 = 75.5°, m∠2 = 67.4°
y =|x −3|+|x +2|−|x −5|, if x >5
Answer: maybe -1
Step-by-step explanation:
Alfred wants to become a member of an online discussion forum. The website requires him to create a password. The password must consist of 5 characters, of which 3 must be letters and 2 must be digits. The first character of the password must be a letter. Also, repetition of the same letter in the password is not permitted but repetition of digits is permitted. How many possible ways can Alfred create the password?
So I know the answer is 9,360,000 but I got 18,720,000. This is because I thought the partition is 4! / (2! * 1! * 1!) but apparently the partition is 4! / (2! * 2!) and this confuses me. I thought that since the letters can't be repeated, we'd put one unique letter in one group, the other unique letter in the other group, and the two repeated digits in the last group. Can somebody explain this to me?
Answer:
Alfred can create the password in 9,360,000 possible ways
Step-by-step explanation:
Given the data in the questions;
Password of five characters must contain; three letters and 2 digits
[][][][][]
Now, using the five boxes above which as to be filled with three letters and two digits, such that; The first character of the password must be a letter and repetition of the same letter in the password is not allowed while repetition of digits is allowed.
Now,
we know that there are 26 alphabets in English language, so the first box can be filled in 26 ways { must be a letter }
next four will be filed with two letters and two digits
so two boxes from the four can be chosen in the following ways;
⇒ ⁴C₂ = 4! / ( 2!(4-2)! = 24 / 4 = 6 { ways }
now for each choice, we can fill the chosen two boxes with letters in;
⇒ 25 × 24 = 600 { ways}
and the next two by digits; ( 0, 1, 2, ..... 9)
⇒ 10 × 10 = 100 { ways }
So in total, the possible number of ways he can create a password is;
⇒ 26 × 6 × 600 × 100
= 9,360,000 possible ways
Therefore, Alfred can create the password in 9,360,000 possible ways
