Answer:
the x² test statistic 13.71
Option a) 13.71 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Feeder 1 2 3 4
Observed visits; [tex]o_i[/tex] 60 90 92 58
data sample = 300
Expected [tex]e_i[/tex] = 300 / 4 = 75
the x² test statistic = ?
[tex]X^2_{stat[/tex] = ∑[ ([tex]o_i[/tex] - [tex]e_i[/tex])²/[tex]e_i[/tex]]
[tex]X^2_{stat[/tex] = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]
[tex]X^2_{stat[/tex] = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]
[tex]X^2_{stat[/tex] = 13.7066 ≈ 13.71
Therefore, the x² test statistic 13.71
Option a) 13.71 is the correct answer.
4 statistics professors and 6 chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
You want to buy a pair of shoes that usually cost $100. Today the store is
having a sale: 20% off everything.
You also have a coupon that
promises 10% off the price at the
register. How much do you save? *
Pls help and pls show how you got it! I am very confused.
Thank you
Answer:
You saved $30
Step-by-step explanation:
20% + 10% = 30%
30% = 0.30
$100 * 0.30 = $30
$100 - $30 = $70
Hope this is helpful
2. If x is directly proportional to y^3 and x=32 when y=2, i) Find an equation
connecting x and y, ii) Find the value of x when y=6, iii) Calculate the value
of y when x=108. *
Answer:
(i)
[tex] x \alpha y {3} \\ \frac{x}{y {3} } = k[/tex]
(ii)
[tex] \frac{x}{y {3}^{} } = \frac{x}{y {3}^{} } \\ \frac{32}{ {2}^{3} } = \frac{x}{6 {}^{3} } \\ \frac{32}{8} = \frac{x}{216} \\ x = 864[/tex]
(iii)
[tex] \frac{32}{8} = \frac{108}{y {}^{3} } \\ {y}^{3 } = 27 \\ y = \sqrt[3]{27 } \\ y = 3[/tex]
Determine the value of y, if x is -7 y=
∣x∣-5
Answer:
y = 2
Step-by-step explanation:
y = |x| - 5
|?| means an absolute value of a number
in this case x = -7 so the absolute value for -7 would be 7
y = 7 - 5
y = 2
Help with both of these please!
mel paid for 3/4 of the cost of a cake and Gretchen paid the rest. If Mel paid $21, how much did Gretchen pay?
PLEASE HELP MEEEEEE !!!! Find an equation for the perpendicular bisector of the line segment whose endpoints are (5,-9)(5,−9) and (-7,-3)(−7,−3)
Answer:
y=2x-4
Step-by-step explanation:
Hope you understand
The recipe for a fruit smoothie requires 2 cups of fruit per 6 cups of yogurt to maintain a 1/3 ratio. While making the fruit smoothie, Suzy accidentally puts 3 cups of fruit into the pitcher. How many cups of yogurt should be put in the pitcher to maintain the ratio of 1/3?
Banjo is baking his favorite dessert the recipe calls for a 5/8 of a stick of butter but he wants to double the recipe how much butter will bjorn need
Answer:
1 stick and 1/4
Step-by-step explanation:
5/8 plus 5/8 equals 10/8, making it 1 and 2/8 and 2/8 can be simplified to 1/4th
Maria is covering an entire box with 1-in. mosaic tiles and wants to find out how many square inches of mosaic files will cover the entire box. 3 in. 4 in. 9.5 in. Which statement is correct about the amount of mosaic tiles that will cover the entire box? O The amount of mosaic tiles covering the box is the surface area, which is 157 in.? O The amount of mosaic tiles covering the box is the surface area, which is 114 in.? O The amount of mosaic tiles covering the box is the volume, which is 157 in.3. O The amount of mosaic tiles covering the box is the volume, which is 114 in..
The amount of mosaic tiles covering the box is the surface area, which is 157 in.
Answer:
A
Step-by-step explanation:
You buy items costing $1000 and finance the cost with a fixed installment loan for 30
months at 4% simple interest per year.
a. What is the finance charge?
b. What is your monthly payment?
Answer:
The monthly payments will be $ 36.66, and the finance charge will be $ 100.
Step-by-step explanation:
Since I buy items costing $ 1000 and finance the cost with a fixed installment loan for 30 months at 4% simple interest per year, to determine what is the finance charge and what is my monthly payment, the following calculations must be performed:
1 year = 12 months
30 months / 12 = 2.5 years
(1000 x (1 + (0.04 x 2.5))) / 30 = X
(1000 x (1 + 0.1) / 30 = X
(1000 x 1.1) / 30 = X
1100/30 = X
36,666 = X
Therefore, the monthly payments will be $ 36.66, and the finance charge will be $ 100.
Need help with this question please
Answer:
:P
Step-by-step explanation:
:P
Can someone explain in the clearest way possible how to solve this problem and also does it involve using sin cos tan formulas?
A sailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lighthouse. He knows that the lighthouse is actually 60 feet tall. If it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it?
9514 1404 393
Answer:
480 ft
Step-by-step explanation:
The geometry involves two similar triangles. The ruler at arms length forms a triangle that has the opposite side 3 inches high and 24 inches (2 ft) away. That is, the distance from the eye to the ruler is 8 times the height of the ruler.
The triangle involving the lighthouse is similar. That is, the angles in it are the same, so the sides are proportional to those in the smaller (ruler) triangle. The distance to the lighthouse will be 8 times the height of the lighthouse, just as the distance to the ruler is 8 times the height of the ruler.
8 × 60 ft = 480 ft
The lighthouse is 480 feet away.
if c= the number of cars in a parking lot which algebaraic expression represents the phrase below the number of cars increased by 9
Answer:
C+9
Step-by-step explanation:
can someone please help me –4x ≤ 36
Answer:
x > -9
Step-by-step explanation:
–4x ≤ 36
Divide by -4, remembering to flip the inequality
-4x/-4 > 36/-4
x > -9
2 PEERS PLUS ANOTHRR 2 PEER
Answer:
4.
Step-by-step explanation:
2+2 equals 4. Plus sign: + you add two on both sides, therefor you get 4 as your answer.
Answer:
4 peers
Step-by-step explanation:
2 peers plus or + 2 peers equals 4 peers in total.
There u go and hope that helps!
what line graph does 3x-4y=8 represent
Step-by-step explanation:
[tex]4y = 3x - 8 \: \: then \: y = \frac{3}{4}x - 2[/tex]
Now you can make a table to know the graph
x =0 then y = -2 x= 4/3 then y = -1 x= 1 then y = -1.25x=2 then y=-0.5 x=3 then y=0.25attention : be careful the second photo is
inverted , open it and look to x-axis to know how is the graph
Tomando como referencia que los ángulos opuestos por el vértice son iguales. Obtén el valor de los ángulos que se te solicitan
a = 143o
b=
c=
d=
e=
f=
g=
Answer:
??
Step-by-step explanation:
lim┬(x→0)〖(√(1+x+x^2 )-1)/tan5x 〗
Evaluting the limand directly at x = 0 yields the indeterminate form 0/0, so we have a candidate for L'Hopital's rule. We get
[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \lim_{x\to0}\frac{\frac{1+2x}{2\sqrt{1+x+x^2}}}{5\sec^2(5x)} = \frac{1+2\times0}{2\sqrt{1+0+0^2}\times5\sec^2(5\times0)} = \boxed{\dfrac{1}{10}}[/tex]
If you don't know about L'Hopital's rule, or are otherwise not allowed to use it, you can instead rely on algebraic manipulation and a well-known limit,
[tex]\displaystyle\lim_{x\to0}\frac{\sin(ax)}{ax}=\lim_{x\to0}\frac{ax}{\sin(ax)}=1[/tex]
where a ≠ 0. We write
[tex]\displaystyle\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \frac{5x}{\sin(5x)}\times\frac{\cos(5x)}5\times\frac{\sqrt{1+x+x^2}-1}x[/tex]
The limit of a product is equal to the product of limits:
[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \left(\lim_{x\to0}\frac{5x}{\sin(5x)}\right)\times\left(\lim_{x\to0}\frac{\cos(5x)}5\right)\times\left(\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}x\right)[/tex]
The first limit is 1 and the second limit is 1/5. For the remaining limit, multiply through the fraction by the conjugate of the numerator:
[tex]\dfrac{\sqrt{1+x+x^2}-1}x\times\dfrac{\sqrt{1+x+x^2}+1}{\sqrt{1+x+x^2}+1} = \dfrac{\left(\sqrt{1+x+x^2}\right)^2-1^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{x+x^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{1+x}{\sqrt{1+x+x^2}+1}[/tex]
The remaining limand is continuous at x = 0, and its limit is
[tex]\displaystyle\lim_{x\to0}\frac{1+x}{\sqrt{1+x+x^2}+1}=\frac{1+0}{\sqrt{1+0+0^2}+1}=\frac12[/tex]
and hence the original limit is again 1 × 1/5 × 1/2 = 1/10.
10 ft
8 ft
Find the perimeter of this figure to
the nearest hundredth. Use 3.14 to
approximate a.
P = [?] ft
Answer:
P = 40.56 ft
Step-by-step explanation:
The figure is composed of a rectangle and half circle
The perimeter of the figure = the length of the borders round the figure
= W + 2L + ½(perimeter of full circle)
W = 8 ft
L = 10 ft
½(perimeter of circle) = ½(πd) = ½(3.14*8)
= 12.56 ft
Plug in the values
Perimeter of the figure = 8 + 2(10) + 12.56
= 8 + 20 + 12.56
= 40.56 ft
Which set of equations has (-4,1) as its solution?
A and B
B and D
A and C
B and C
Pls someone pls help me with this question pls
Answer:
C) 140
Step-by-step explanation:
You will need to find angles 1, 2 and 3 to get 4
Angle 3 is on the same line as 6 and supplementary, forming 180.
Therefore, substract angle 6 from 180 to get 3
180 = Angle 6 + Angle 3
180 - 120 = Angle 3
60 = Angle 3
Angle 2 is the same concept
180 - 100 = 80
80 = Angle 2
Angle 1
All angles in the triangle are 180, therefore, angle 1 is found using
180 - Angle 2 -Angle 3 = Angle 1
180 - 80 - 60 = Angle 1
40 = Angle 1
And since Angle 1 and 4 are on the same line, supplemantary and forming 180, substract angle 1 from 180 to get angle 4
180 = Angle 1 + Angle 4
180 - 40 = Angle 4
140 = Angle 4
2. Which of the following epxressions is a monomial?
a.
3.4x
b. 9-3(5x)+13a
c. 5(2x+l+y)
d. 2a+5(4x)
Answer:
a.3.4x
Step-by-step explanation:
A monomial only had one term
mono is the prefix for one
David's wife sends him to the store to buy pickles and ice cream. Ice cream cost 3 dollars per pound and pickles costs 4 dollars per pound. David has 60 dollars in his wallet. Let x be the number of pounds of ice cream and y be the number of pounds of pickles that David purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y . Express your answer with the standard form a x + b y on the left side. The budget inequality is __________________
Answer:
3x+4y=60
Step-by-step explanation:
3x+4y=60
Lin's father is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal?
Solve for 20 points and show work
A park is \frac{9}{10} 10 9 mile long and\frac{4}{5} 5 4 mile wide. What is the area of the park?
the answer is [tex]x^{2} \sqrt{x} \leq \geq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi x^{2} \sqrt{x} \frac{x}{y} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left \{ {{y=2} \atop {x=2}} \right.[/tex]random but marter than einstein
Often you will see payment terms written out using the abbreviation 2/10,N/30.in this case the letter "N" stands for ______.
Answer:
Step-by-step explanation:
Find the weighted mean
Answer:
10.1
Step-by-step explanation:
weighted mean = sum of the multiplication of frequency and value /sum of frequency
sum of frequency = 5 + 5 + 5 + 21 = 36
sum of the multiplication of frequency and value = (16 x 5) + (20 x 5) + (16 x 5) + ( 5 x 21) = 365
365/36 = 10.1
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
A cylinder has a height of 10 inches and a diameter of 1 1/2 inches. What is the volume of the cylinder
Answer:
7.85 in³
Step-by-step explanation:
π · r² · h
3.14 · 0.5² · 10
7.85 in³
What is the product? (-1 2 4) x (3 6 1 2 4 0 0 6 2)
Answer:
-44793767688
Step-by-step explanation:
(-124)×(361240062)=-44793767688
Answer:
[1 26 7] is the answer
Step-by-step explanation:
