Answer:
Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.
Step-by-step explanation:
The mean number of rushing yards for one NFL team was less than 105 yards per game.
At the null hypothesis, we test if the mean number of rushing yards for the team was the league's mean, which is close to 105 yards per game, that is:
[tex]H_0: \mu = 105[/tex].
At the alternate hypothesis, we test if there is significant evident to conclude that this team average is less than 105 yards per game, that is:
[tex]H_1: \mu < 105[/tex]
How should you interpret a decision that rejects the null hypothesis?
Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.
Find with proof the minimum possible k such that every subset of f1; 2; : : : ; 2022g of size k must contain at least two elements a; b such that a < b and b is a multiple of a.
Answer:
Minimum possible K = 307
Step-by-step explanation:
Attached below is the detailed solution
Given set { 1, 2 , .......... 2022 }
The largest subset will contain prime numbers because they are not multiples of any number but 1
PPLEASE HELP FAST
The social welfare department of town conducted a survey to know the number of illiterate males and females in the town. The results are given below.
Total number of males = 58,409
Total number of literate males = 47,354
Total number of females = 54,289
Total number of literate females = 42,876
Based on the above information answer the following questions.
a) Find the number of illiterate males and females and write their number name.
b) Find the total number of people in the town and round it to the nearest hundreds place.
The area of a rectangle is 135 square units. Its length measures 9 units. Find
the length of its diagonal. Round to the nearest tenth of a unit.
Answer:
Length = 9 units
Area = 135 square units
Area = Length x Breadth
135 = 9 x Breadth
Breadth = 15units
[tex]By \ pythagorean \ theorem\\\\Diagonal ^ 2= Length^2 + Breadth^2\\\\[/tex]
[tex]= 9^2 + 15^2 \\= 81 + 225 \\=306[/tex]
[tex]Diagonal = \sqrt{306} = 17.49[/tex]
Diagonal = 17.5 units
Rounding to the nearest tenth of a unit, the length of the diagonal of the rectangle is approximately 17.5 units.
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length of the rectangle is given as 9 units, and we need to find the length of the diagonal.
Let's assume the width of the rectangle is 'w'.
We know that the area of a rectangle is given by the formula: length × width = area.
So, 9w = 135
Dividing both sides of the equation by 9, we get: w = 15.
Now, we have the length (9 units) and the width (15 units) of the rectangle.
Using the Pythagorean theorem, we can find the length of the diagonal (d):
d² = 9² + 15²
d² = 81 + 225
d² = 306
Taking the square root of both sides, we get:
d ≈ √306 ≈ 17.5
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Wilcox, chief executive officer and chairman of the board of directors, owned 60 percent of the shares of Sterling Corporation. When the market price of Sterling’s shares was $22 per share, Wilcox sold all of his shares in Sterling to Conrad for $29 per share. The minority shareholders of Sterling brought suit against Wilcox demanding a pro rata share of the amount Wilcox received in excess of the market price. a. What are the arguments to support the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? b. What are the arguments to reject the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? c. Which side should prevail?
Answer:
Sterling Corporation
a. Arguments to support the minority shareholders' claim include:
1. If there is a provision to this effect in the Shareholders' agreement,
2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and
3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.
b. The arguments to reject the minority shareholders' claim include:
1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.
2. Wilcox is within his rights to sell his shares to Conrad.
3. Wilcox does not oppress the minority shareholders with the sale to Conrad.
c. Wilcox should prevail. Apparently, he did not act illegally or contrary to agreement.
Step-by-step explanation:
Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.
Shareholding of Minority shareholders = 40%, which is <50%
Market price per share of Sterling Corporation = $22
Selling price of Wilcox's shares = $29
Excess of the market price = $7 ($29 - $22)
Find the height of the pyramid.
Answer:
7
Step-by-step explanation:
Let the height of pyramid be h
[tex]v = \frac{1}{3} lwh[/tex]
v= 224
w= 8
l= 12
224=1/3(12)(8)(h)
224=32h
h=224/32
h=7
Answer help please!
I'm going to refer to the two separate triangles in this problem by their missing angles. So the smaller triangle is triangle 1, and the larger triangle is triangle 2.
Let's work on triangle 1 first.
We can easily find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 1.
180 - 115 = 65
Now that we know two of the angles in the triangle, and we know that the sum of the interior angles in a triangle is 180, we can find our missing angle 1.
80 + 65 + <1 = 180
145 + <1 = 180
<1 = 35 degrees
Now let's go ahead and move on to triangle 2.
We can again find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 2 also.
180 - 115 = 65
Then, we can use the same principle as we did with triangle 1 to find our missing angle 2 in triangle 2.
85 + 65 + <2 = 180
150 + <2 = 180
<2 = 30 degrees
Hope this helps!! :)
Express cos K as a fraction in simplest terms
Answer:
Step-by-step explanation:
You don't need to solve for IJ so don't.
Cos(J) = adjacent / hypotenuse
adjacent = 5
hypotenuse = 23
Cos(J) = 5/23
root beer is priced at $2.88 for 6 cans
what is the cost of one can?
Answer:
0.48
hope this helps
have a good day :)
Step-by-step explanation:
I'm working on this equation for my pre-calculus class and I'm stuck. 0.5t = 0.2+ 0.4t
Answer:
t = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
0.5t = 0.2 + 0.4t
Step 2: Solve for t
[Subtraction Property of Equality] Subtract 0.4t on both sides: 0.1t = 0.2[Division Property of Equality] Divide 0.1 on both sides: t = 2sidney writes two equations: I = 350n and E = 150n + 1000. The equations relate income I and operating expenses E to number of customers. Sidney writes the equation P = 350n − (150n + 1000) to show how tour profit P depends on the number of customers n. Use the rule to find profits P for 8, 12, 20, and 30 customers.
9514 1404 393
Answer:
600, 1400, 3000, and 5000
Step-by-step explanation:
The profit equation can be simplified.
P = 350n -(150n +1000)
P = 200n -1000 . . . . . . . . . collect terms
P = 200(n -5) . . . . . . . . . . . factor out 200
For the given numbers n, we have ...
P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}
Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.
if 5,4 and 15 and x are in proportion find the value of x
Need help with question?
Answer:
150
Step-by-step explanation:
15 times 8 = 120
14-8 = 6
6 times 5 = 30
150
can someone help me with this math problem please? One hundred ten students are assigned to four classrooms as equally as possible. How many students are in each classroom? (Write four numbers in all show how many students are in each room?
Answer:
27.5
Step-by-step explanation:
Answer:
27.5Step-by-step explanation:
110/4 is 27.5
The Harper family purchased a small microwave for their family room. The diagonal of the door measures 15 inches. The door also has an area of 108 square inches. What are the length and width of the microwave door? Enter values separated by a comma.
Answer:
length and width = 12,9
Step-by-step explanation:
100 POINTS HELP!
I WILL GIVE BRAINLIEST TO THE BEST ANSWER
FAKE ANSWERS WILL BE REPORTED
Answer:
1.
In triangle ∆AFD ,∆BGD ,∆CHD
<AFD=<BGD=<CHD
[being corresponding angle]
<DAF=<DBG=<DCH
[being corresponding angle]
<D is common for all.
So
∆AFD ~∆BGD ~∆CHD
[By A .A .A. axiom]
look
again
at picture pasted
By AAA axiom ∆AFD , ∆BGD , ∆CHD are similar with each other.
What is Similarity of triangle?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
a). In ΔAFD, ΔBGD, ΔCHD
∠AFD = ∠BGD = ∠CHD [being corresponding angle]
∠DAF = ∠DBG = ∠DCH [being corresponding angle]
∠D is common for all.
So ∆AFD ~∆BGD ~∆CHD [By A .A .A. axiom]
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A cook needs 42 pieces of tomato for salads The cook has 4 tomatoes He cuts each tomato into 6 pieces
Find the area of the shaded region.
Answer:
60.5
Step-by-step explanation:
What the correct answer
Its ‘B’
100% sure
Plz mark me brainliest
PLEASEE HELPP ASAP!
Consider a right triangle which is
changing shape in the following
way. The horizontal leg is
increasing at the rate of 11 in/min
and the vertical leg is decreasing
at the rate of 5 in/min. At what rate <
is the hypotenuse changing in
in/min when the horizontal leg is 12
inches and the vertical leg is 9
inches?
Answer:
Step-by-step explanation:
GIVEN: dx / dt=5 in./min. and dy/ dt=−6 in./min.
FIND: dz/ dt when x=12 in. and y=9 in.
Use the Pythagorean Theorem to get the equation
x2+y2=z2
Now differentiate this equation with repect to time t getting
D{x2+y2}=D{z2} ⟶
2xdxdt+2ydydt=2zdzdt ⟶
(Multiply both sides of the equation by 1/2.)
x dx/ dt+y dy/ dt= z dz/ dt (DE)
Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.
tex2html_wrap_inline125
122+92=z2 ⟶ z2=225 ⟶ z=15
Plug in all given rates and values to the equation (DE) getting
(12)(5)+(9)(−6)=(15)dz/ dt ⟶
6=15dzdt ⟶
dz/ dt=615=25 in/min.
Hope this answer helps you :)
Have a great day
Mark brainliest
Each cement block weighs 1 1/4 pounds. How much do 8 cement blocks weight in total?
Answer:
10
Step-by-step explanation:
[tex]1 \frac{1}{4} \times 8 = 10[/tex]
Answer:
10 pounds.
Step-by-step explanation:
1 * 8 + 1/4 * 8
= 8 + 2
= 10 pounds.
Given circle o, what is the length of arc AB if m AOB =40° ?
Radius is 9
Answer:
Arc length = 6.28 units
Step-by-step explanation:
[tex]Arc \ length = 2 \pi r \frac{ \theta}{360} = 2 \times \pi \times 9 \times \frac{40}{360} = 2\pi = 6.28[/tex]
please help 5 points which one
Answer:
A) 9/2x3/8
Step-by-step explanation:
A chicken farmer can produce one crate of eggs at a cost of $9.86, and can sell that crate for $34.24. If the farmer has a starting overhead cost of $7,312, not including production costs, how many crates must be sold in order to realize a profit of $11,300, to the nearest crate?
a.
164
b.
330
c.
463
d.
763
Answer:
The answer is D 763.
Step-by-step explanation:
Don't have an explanation
A chicken farmer needs to sell 763 crates to realize a profit of $11,300.
Equation
A statement of equivalence between two expressions containing variables and/or numbers is called an equation. In essence, equations are questions, and attempts to discover systematic answers to those questions have spurred the development of mathematics.
Equation according to the given information
Based on the given information describe the problem is equation.
(34.24 × x) - (7312 + 9.86x) = 11300
34.24x - 7312 - 9.86x = 11300
34.24x - 9.86x = 11300 + 7312
24.38x = 18612
x = 18612 / 24.38
x = 763
Hence chicken farmers need to sell 763 crate
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What is the measure, in degrees, of angle b?
The top angle is the same as the bottom angle, since they are vertically opposite angles.
b+20=40
b=40-20
b=20
It is also 20 degrees.
Answer:
Step-by-step explanation:
angle b+20 degree=40 degree(being vertically oppoite angles)
angle b=40-20
angle b=20
therefore angle b=20 degree.
A wooden box is in the shape of a regular pentagonal prism. The sides, top, and bottom of the box are 1 centimeter thick. Approximate the volume of wood used to construct the box. Round your answer to the nearest tenth. brainly
Answer:
Volume of regular pentagonal prism = 1.72 cm³ (Approx.)
Step-by-step explanation:
Given:
Side of regular pentagonal prism = 1 cm
Height of regular pentagonal prism = 1 cm
Find:
Volume of regular pentagonal prism
Computtaion:
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]a²h
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)](1)²(1)
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]
Volume of regular pentagonal prism = (0.25)[√5{5+4.472}]
Volume of regular pentagonal prism = (0.25)[√5{9.472}]
Volume of regular pentagonal prism = (0.25)[√47.36]
Volume of regular pentagonal prism = (0.25)[6.8818]
Volume of regular pentagonal prism = 1.72045
Volume of regular pentagonal prism = 1.72 cm³ (Approx.)
Answer:
217.96 or 218.0 in Big Ideas Math
Thanks Harlan for helping me understand this problemStep-by-step explanation:
volume of the whole prism - smaller inner prism
Bigger Prism (apothem = 4, height = 6)
360/5 = 72 72/2 = 36
4 · tan (36) = 2.906
2.906 · 4 = 11.6247
11.6247 · 5 = 58.1234 ← The area of the Pentagon
58 · 6 = 348.740 ← The Bigger Prism Volume
Smaller Prism (apothem = 3, height = 4)
Keep in mind that the bottom, sides, and top of the box is one centemeters thick ⇒ smaller pentagon ⇒ (apothem = 4-1, height = 6 - 2)
3 · tan (36) = 2.1796
2.1796 · 3 = 6.5389
6.5389 · 5 = 32.6944 ← small Pentagon Area
32.6944 · 4 = 130.7777 ← Small Pentagon Prism Volume
Final Step
Area of big prism - small prism
348.74041 - 130.7777 = 217.9627
Round to the nearest tenth ⇒ 218.0
2 Find the circumference and area of the pizza. Use 3.14 for pi. Round your answer to the nearest hundredth 13 in. The circumference of the pizza is
Answer:
A = 254.34 in² and circumference = 56.52 inch
Step-by-step explanation:
The attached figure shows a pizza having diameter of 18 inches
Radius of the pizza = 9 inches
The area of the pizza is given by :
[tex]A=\pi r^2\\\\=3.14\times 9^2\\\\=254.34\ in^2[/tex]
The circumference of the pizza is given by :
[tex]A=2\pi r\\\\=2\times 3.14\times 9\\\\=56.52\ inch[/tex]
Hence, this is the required solution.
Please solve fast. I will give Brainleist or whatever it’s called
Answer:
84in
Step-by-step explanation:
84in
final question of the 9 and with most of the point i can give so people dont pour in
Answer:
A=49 degree
a=13.5
b=11.7
Step-by-step explanation:
A pair of sneakers costs $60. Dahlia bought them on sale for $45. What is the percent decrease in the price of the sneakers?
Answer:
the answer is %25
Step-by-step explanation:
What is the perimeter of a square whose area is 64 square kilometers?
.
A 16 km
B.32 km
c. 64 km
D.256 km