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.
Please help me I would appreciate it a lot
Answer:
Juan can consume 2.22 calories per day
Step-by-step explanation:
[tex]68.820 \div 31 \: day \: month \: \\ \\ = 2.22[/tex]
What is the value of x
Hey there! :)
Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:
- SOH = Sin: opposite over hypotenuse
- CAH = Cos: adjacent over hypotenuse
- TOA = Tan: opposite over adjacent
The question is asking us to find the value of x given the following located in the image provided.
Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.
We must now look at the other given variables in this triangle - specifically where they are located.
While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.
Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.
We now set up our equation to find the value of x:
tan (51°) = [tex]\frac{x}{8}[/tex] ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.
Now, we must remove all fractions. We can do this by multiplying both sides by 8.
8 × tan (51°) = [tex]\frac{x}{8}[/tex] × 8
Now, we simplify.
8 × tan (51°) = x
Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.
8 × 1.2348 = x
Simplify.
x = 9.9
Therefore, angle x is 9.9
Hope this helped! :)
(Image attached for visual reference)
Answer this question please ASAP!!
A or the first answer shown
Answer:
No it is not close to half of the data below the mean and half the data above the mean
In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.
Answer:
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
Step-by-step explanation:
Given
[tex]Zeros: -5,-2,2[/tex]
Required
The polynomial function
If a function has a, b and c as its zeros, the function is:
[tex]f(x) = (x - a)(x - b)(x - c)[/tex]
So, we have:
[tex]Zeros: -5,-2,2[/tex]
[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]
Open the inner brackets
[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]
Expand the difference of two squares
[tex]f(x) = (x +5)(x^2 - 4)[/tex]
Expand
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
Which choice is equivalent to the fraction below? Hint: Rationalize the
denominator and simplify.
Answer:
Option D. 4√2
Step-by-step explanation:
8/√2
The above expression can be simplified as follow:
8/√2
Rationalise the denominator i.e multiply the numerator and the demoninator by √2. This is illustrated below:
8/√2 × (√2/√2)
8 × √2 / √2 × √2
8√2 / 2
4√2
Thus, option D gives the correct answer to the question.
can someone help me find x
Answer:
x = 5
Step-by-step explanation:
Since this shape is a quadrilateral, the sum of the interior angles is 360.
Equation:
81 + 20x - 16 + 15x + 30 + 16x + 10 = 360
51x + 105 = 360
51x = 360 - 105
51x = 255
x = 5
Question 6
What is the missing value of the following synthetic division?
Answer:
Hello!
16
Step-by-step explanation:
Because
-5+16=11
Jffkdjdjdjdkskkskskskskakskkdkdkskdk
Answer:
the anser is d
Step-by-step explanation:
Answer:
b) 7x² - 12x√14 + 72
Step-by-step explanation:
Let's solve the problem,
→ (x√7 - 3√8)(x√7 - 3√8)
→ (x√7 - 3√8)²
→ 7x² - 12x√14 + 72
Hence, option (b) is correct.
A shape has 2 pairs of parallel sides and no right angles. Its sides are all the same length. What shape is it?
A. Rhombus
B. Trapezoid
C. Rectangle
D. Square
Answer: The attached figure is a parallelogram with one corner chopped off, making it a pentagon. It still has two pairs of parallel sides & no right angles.
Step-by-step explanation:
Parallelogram is the word that most generally describes such a figure. A square or rectangle, which do, of course have right angles, are special cases of the parallelogram.
I am assuming (perhaps unjustifiably) that when you say “two pairs of parallel sides” you are talking of a figure with no other sides than those four.
There are, of course, many other polygons (hexagons, octagons, decagons, etc) which have two pairs of parallel sides and other sides, any two of which may or may not be parallel.
What is the solution 5x-15=-25
Answer:
x= -2
Step-by-step explanation:
MARK AS BRAINLIEST!!
Answer: -2
Step-by-step explanation: -2 times 5 is -10. -10-15=-25
There were 3 chihuahuas at the dog park last Saturday, along with 9 other dogs. Considering this data, how many of the next 20 dogs to arrive at the park next Saturday should you expect to be chihuahuas?
Answer:
5
Step-by-step explanation:
Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.
Assuming this ratio is consistent, (1/4)*20 is 5.
In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.
Hope it helped, and have a beautiful day/night! <3
There are 30 students in a seventh grade class who attend after school activities.
• Of the students, 5 take music lessons.
3
• Of the students, 5 play a sport.
• The remaining students go to drama club.
How many students go to drama club after school?
O A. 11 students
OB.
23 students
O C.
7 students
OD
15 students
Answer:
7 students.
Step-by-step explanation:
1/6 of 30 is 5
3/5 of 30 is 18
18+5=23
30-23=7
two congruent squares are shown in figures 1 and 2 below
Answer:
Equal to, c^2, a^2+b^2, a^2 + b^2 = c^2
Answer:
The combined area of the shaded triangles in Figure one is equal to the combined area of the shadead triangles in figure 2. The area of the unshaded square in Figure 1 can be represented by c^2. The combined area of the two unshaded squares in Figure 2 can be represented by a^2+b^2. The areas of the squares in Figure 1 and Figure 2 who that a^2+b^2=c^2.
Step-by-step explanation:
I'm right and if you think I'm wrong then you're wrong
Simplify (5m - 4)2 using the square of a binomial formula.
A) 5m2 - 20m - 4
B) 25m2 – 40m + 16
C) 25m2 + 40m + 16
D) 5m2 – 40m + 4
Answer:
[tex]25m^{2} -40m+16[/tex]
Step-by-step explanation:
Rewrite (5m−4)^2 as (5m−4)(5m−4).
Expand (5m−4)(5m−4) using the FOIL Method.
[tex]25m^{2} -40m+16[/tex]
Which equation has a graph that lies entirely above the x-axis?
Answer: c
Step-by-step explanation:
y=(x-7)^2+7
"I think of a number, take away 1 and multiply the result by 3."
Answer:
I got 6.
Step-by-step explanation:
I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.
2+3
For what value of a does
9
(3)"
?
-
73
3
1
Answer:
3
Step-by-step explanation:
3 × 3 = 9
( 3 + 3 + 3 = 9 )
______________________________________
Nicholas performs an experiment in which he pulls a marble from a bag. In his experiment, he finds that he is twice as likely to pull a red marble as a blue marble. If Nicholas pulls 10 red marbles, how many blue marbles does he pull?
Answer:
Nicholas pulls 5 blue marbles from the bag.
Step-by-step explanation:
Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:
10/2 = X
5 = X
Therefore, Nicholas pulls 5 blue marbles from the bag.
Find the solution to the system of equations y=1/2x +1, y= -x-2
Answer:
answer is (1,0)
Step-by-step explanation:
WILL
GIVE BRAINLIST FOR MATH
....
Find x. Round your answer to the nearest tenth of a degree.
A
27
18
to
B
С
x = _(blank)
What is the area of the sector for the following circle? Round your answer to 4 decimal places. *
Answer:
13.0833 ft²
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 5 ft
Angle sustained by the sector (θ) = 360 – 300
= 60°
Pi (π) = 3.14
Area of sector (A) =?
The area of the sector can be obtained as follow:
A = θ/360 × πr²
A = 60/360 × 3.14 × 5²
A = 1/6 × 3.14 × 25
A = 1/6 × 78.5
A = 78.5/6
A = 13.0833 ft²
Thus, the area of the sector is 13.0833 ft²
Step-by-step explanation:
The angle of the minor sector will be ,
> 360 - 300 = 60° .
Area of sector :-
> Area = ∅ / 360 × πr²
> A = 60/360 × 3.14 × 5ft²
> A = 13.09 ft²
Solve for x PLEASE HELP DUE TODAY!!!
Answer:
x = 4
Step-by-step explanation:
By intersecting tangent and secant theorem:
[tex] {(x + 2)}^{2} = x(x + 5) \\ \\ {x}^{2} + 4x + 4 = {x}^{2} + 5x \\ \\ 4x + 4 = 5x \\ \\ 4 = 5x - 4x \\ \\ 4 = x \\ \\ x = 4[/tex]
Answer:
x = 4
Step-by-step explanation:
When a secant and a tangent are drawn to a circle from a point outside the circle, the lengths are related this way:
The square of the length of the tangent equals the product of the length of the secant and the length of the segment of the secant outside the circle.
(x + 2)² = x(x + 5)
x² + 4x + 4 = x² + 5x
x = 4
Find the volume of the cone. Round to the nearest tenth.
10 mm
9 mm
Volume:
mm3
SOMEONE HELP ILL GIVE BRAINLIEST!!
A window in the shape of a rectangle as shown below has a width of 2X +1 and the length of X squared minus 5X -7
Answer;
14x-12
Explanation:
Since we are not asked what to fine, we can find the perimeter of the rectangle
Perimeter = 2(L+W)
Perimeter = 2(2x+1+5x-7)
Perimeter = 2(7x - 6)
Perimeter = 14x - 12
Hence the perimeter of the rectangle is 14x-12
Helpppp 8 &11/13 as an improper fraction
Answer:
115/13
Step-by-step explanation:
convert mixed number into improper fraction
8×13+11
multiply
104+11/13
add
104+11=115
115/13
PLEASE HELP!! Click the picture
Answer:
If y - 4 = 5 then:
y = 5 + 4
y = 9
61 POINTES!!!!!! (I will give brainliest)
A landscape architect designs a small splash pad represented by ΔABC. Then she decides to make the splash pad larger as shown by ΔADE. How are the splash pad designs alike? How are they different?
I think it is -4 and positive 2
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
20?
Step-by-step explanation:
Answer: 8.9
Step-by-step explanation:
To find the hypotenuse, use the formula [tex]a^2 + b^2 = c^2[/tex]
The two "legs" are a and b (it doesn't matter which leg is a and which leg is b), but the most important thing is that the hypotenuse is c.
So, we now know that we have to solve for c. To solve for c, substitute the values shown in the image for a and b.
[tex]a^2 + b^2 = c^2[/tex]
[tex]8^2+4^2=c^2[/tex]
[tex]16 + 64 = c^2[/tex]
[tex]80 = c^2[/tex]
[tex]\sqrt{80}[/tex] = c
Use a calculator, and after rounding, you get 8.9