Answer:
3/10
Step-by-step explanation:
From the question, we have the total number of sampled students as 30
9 students said 7 was their favorite
So the experimental probability that we have 7 picked as the favorite number will be the number of respondents who chose 7 as their favorite divided by the total number of respondents
We have this as;
9/30 = 3/10
PLEASE HELP ASAP !!
A car company’s profit can be modeled by the equation P = –2x^2 + 44x – 42, where P is the profit in millions of dollars and x is the number of cars sold in thousands.
(a.) How many cars are sold when the company breaks even?
(b.) What is the company’s maximum profit? How many cars sold gives the maximum profit?
Answer:
Step-by-step explanation:
In order for a company to break even, it earns no profit but it also incurs no loss. In other words, set the quadratic equal to 0 and factor to find x.
If you factor this using the quadratic formula you will get that the number of cars sold for the company to neither earn nor lose money is 1 or 21. Right in the middle is where we will find the maximum value (the vertex). This max value will give us the number of cars sold, h, and its corresponding value, k.
To solve for h easily, use the formula
[tex]h=-\frac{b}{2a}[/tex] where a and b are the coefficients found in the standard form of a polynomial [tex]ax^2+bx+c[/tex]:
[tex]h=-\frac{44}{2(-2)}=11[/tex] and for k, use:
[tex]k=c-\frac{b^2}{4a}[/tex]:
[tex]k=-42-\frac{44^2}{4(-2)}=200[/tex]
This means our vertex is (11, 200) and in the context of our problem, we know that when the company sells 11,000 cars it makes a max profit of 200 million dollars.
find the area of the shaded region
Answer:
42.92
Step-by-step explanation:
PLSS HELP (Write your answer with only positive exponents.)
Answer:
-g^8
Step-by-step explanation:
it would still remain the same as it is shown because the "g" is negative and the "8", the exponent, is positive
What is percentage of values available between first and third quartile of this data set (8, 7, 3, 8, 14, 15, 20)?
Answer:
[tex]\%Pr =71.43 \%[/tex]
Step-by-step explanation:
Given
[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]
[tex]n(S) = 7[/tex]
Required
Percentage of values between Q1 and Q3
We have:
[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]
Sort
[tex]Sorted = \{3, 7, 8, 8, 14, 15, 20\}[/tex]
Q1 is calculated as:
[tex]Q_1 = \frac{n+1}{4}th[/tex]
[tex]Q_1 = \frac{7+1}{4}th[/tex]
[tex]Q_1 = \frac{8}{4}th[/tex]
[tex]Q_1 = 2nd[/tex]
The second element is: 7; So:
[tex]Q_1 = 7[/tex]
Q3 is calculated as:
[tex]Q_3 = 3*\frac{n+1}{4}th[/tex]
[tex]Q_3 = 3*\frac{7+1}{4}th[/tex]
[tex]Q_3 = 3*\frac{8}{4}th[/tex]
[tex]Q_3 = 3*2th[/tex]
[tex]Q_3 = 6th[/tex]
The sixth element is: 15; So:
[tex]Q_3 = 15[/tex]
From the sorted dataset, the data between Q1 and Q3 is:
[tex]Q_3&Q_1 = \{7, 8, 8, 14, 15\}[/tex]
[tex]n(Q_3&Q_1) = 5[/tex]
The percentage is:
[tex]\%Pr =\frac{n(Q_3&Q_1)}{n(S)} * 100\%[/tex]
[tex]\%Pr =\frac{5}{7} * 100\%[/tex]
[tex]\%Pr =\frac{5* 100}{7} \%[/tex]
[tex]\%Pr =\frac{500}{7} \%[/tex]
[tex]\%Pr =71.43 \%[/tex]
can someone tell me plis how are they equivalent ?
Answer:
A) 5/9 times 4/3 = 20/27
B) 2/4 times 5 = 10/20
Step-by-step explanation:
Someone pls help me with 1 I need a answer and a explanation
Answer:
Im fairly sure the equation is D, a+5=11
Step-by-step explanation:
Kate has gone up 11 times and 5 more times than Andre, so 11-5 HAS to be the amount of times Andre has gone up.
If we reorganise this equation then we get a+5=11
This Question: 1 pt
1 of 20 (0 complete)
ZEFG and ZGFH are a linear pair, m ZEFG = 3n + 19, and mZGFH = 2n + 36. What are mZEFG and mZGFH?
mZEFG =
mZGFH =]
(Simplify your answers.)
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Angles forming linear pair are :
[tex] \mathrm{\angle EFG \: \: and \: \: \angle GFH} [/tex]
And we know, they are supplymentary
[tex] \mathrm{\angle EFG \: + \: \angle GFH} = 180 \degree[/tex][tex]3n +1 9 \degree+ 2n + 36\degree = 180 \degree[/tex][tex]5n + 55\degree = 180\degree[/tex][tex]5n = 125\degree[/tex][tex]n = 25\degree[/tex]So, the measures of the given angles are :
[tex] \mathrm{\angle EFG } = 3n + 19[/tex][tex] \mathrm{ \angle EFG = (3 \times 25\degree) + 19}[/tex][tex] \mathrm{ \angle EFG = 75 \degree+ 19\degree}[/tex][tex]\mathrm{ \angle EFG = 94\degree}[/tex]And
[tex]\mathrm{ \angle GFH = 2n + 36}[/tex][tex]\mathrm{ \angle GFH = (2 \times 25\degree) + 36\degree}[/tex][tex]\mathrm{ \angle GFH = 50\degree + 36\degree}[/tex][tex]\mathrm{ \angle GFH = 86\degree }[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
what number lies in between 18 and 24
Answer:
21
Step-by-step explanation:
24 - 18 = 6
6/2 = 3
18 + 3 = 21
Answer: 21
Step-by-step explanation:
18, 19, 20, 21, 22, 23, 24
1 2 3 3 2 1
21 is in the middle
Eric's tackle box has 4 sections for fishing lures. Eric has 28 lures.
He wants to put the same number of lures in each section.
How many lures should he put in each section?
Eric should put 7 lures in each section.
28/4=7
In a roll of aluminum foil, the inner cardboard tube has a diameter of 1.75 inches and a height of 18 inches I the tube is cut and unfolded to form a rectangle, what is the lateral area?
on a piece of paper mark a point h for home and s for school. describe how to find the set points of equidistant from h and s
Answer:
e?..............................
. Rotate 90 degrees- clockwise.
Answer:
(4,-1), (2,-5), and (5,-5).
Step-by-step explanation:
There is a formula for rotating points about the origin counterclockwise; r90°(x,y) = (-y,x)
I never heard of a clockwise one before.
Maybe you can use this to help you find the formula for the clockwise rotation.
PLEASE HELP ME WITH THIS
Answer:
AB = Secant
DB = Diameter
AB = Chord
OB = Radius
BC = Tangent
Step-by-step explanation:
The image provided below is a great reference!
Note: The answers are put in order.
Hank's Hardware purchased a barbecue grill for $350.36 and marked it up 185%. During a sale, the store marked it down 20%. What was the discount price of the barbecue grill?
Answer:
798.82
Step-by-step explanation:
round 798.824
solving equations
x+4=24
Answer:
x = 20
Step-by-step explanation:
x + 4= 24
Subtract 4 rom both sides
x = 20
Answer:
Your answer is
x=20
Step-by-step explanation:
x=24 -4
a 10 foot ladder is leaning against a wall if the ladder reaches 8 feet up the wall how far is the base of the ladder from the wall.
Answer:
6ft
Step-by-step explanation:
This requires a little use of the Pythagorean Theorem.
The length of the leaning ladder is the hypothenuse of the right triangle formed by the wall and the ladder.
Hyp. = 10 ft Say this is C
The ladder height up the wall = 8 ft. Say this A.
We need to find the other leg, say B ,of the right triangle.
C^2 = A^2 + B^2
10^2 = 8^2 + B^2
100 = 64 + B^2 => B^2 = 100 - 64 = 36
B^2 = 36 so, B = 6 The positive square root since length is positive.
B = 6 ft This is how far the ladder bottom is from the wall.
Double Check: 10^2 = 8^2 + 6^2 or 100 = 64 + 36 Ok. As, it should. This check could be done mentally.
In addition, this is a Pythagorean Triple. (6, 8, 10).
Answer: 6 ft.
COPIED:)
Big brutus pizza had two deals on pizza the first was $6 for a cheese pizza plus $3 for each topping the second deal was $20 per cheese pizza and 1 dollar per topping wat is the x and y
Answer:
[tex]x = 7[/tex] --- toppings
[tex]y = 27[/tex] ---- amount
Step-by-step explanation:
Given
[tex]y \to\ amount[/tex]
[tex]x \to\ topping[/tex]
The first deal is:
[tex]y = 6 + 3x[/tex]
The second is:
[tex]y = 20 + x[/tex]
Required
The value of x and y [for which both deals are equal]
We have:
[tex]y = 6 + 3x[/tex]
[tex]y = 20 + x[/tex]
Equate both
[tex]y=y[/tex]
So, we have:
[tex]6 + 3x = 20 + x[/tex]
Collect like terms
[tex]3x - x = 20 - 6[/tex]
[tex]2x =14[/tex]
Divide by 2
[tex]x = 7[/tex]
Substitute [tex]x = 7[/tex] in [tex]y = 20 + x[/tex]
[tex]y = 20 + 7[/tex]
[tex]y = 27[/tex]
Does anyone know this
Answer:
8 2/3
Step-by-step explanation:
26/3
CONVERT TO A MIXED FRACTION
8 2/3
Answer:
Step-by-step explanation:
3[tex]\frac{1}{4}[/tex] ÷[tex]\frac{3}{8}[/tex]
4*3+1/4 * 8/3
13/4*8/3
13*8/4*3
104/12
26/3
not :when u change division sign into multiplication then do the reciprocal .
Help me plzzzzzzzzzzzzz
Answer:
The area of a circle.
Step-by-step explanation:
Can I get brainiest please
A store sells 3 hats for a total of $47.25. The cost of each hat is the same. What is the cost, in dollars, of
one hat at the store?
^
Enter your answer in the box.
dollars
Answer:
Each hat is $15.75
Step-by-step explanation:
When you take $47.25 since there is three hats you divide by 3, so you get 15.75.
To get the x and the y
Answer:
x = 16
y = 20
Step-by-step explanation:
the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.
since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²
; 9² + 12² = c²
; 225 = c²
;√225 = c
; 15 = c
since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',
; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]
; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx
36.86 = x
now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.
; 90 - 36.86 = 53.13
[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]
; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20
y = 20
again, since we have 2 sides of a right angled triangle we use a² + b² = c²
we arrange this formula since we have the hypotenuse
; 20² - 12² = 256
; √256 = x
; 16 = x
HELP I DONT UNDERSTAND.
Answer:
Step-by-step explanation:
the answer " I need because" isn't even correct.. :P
it should be " I need one more side of each triangle , because then I can use the side angle side rule to say the triangles are the same. "
The probability Alia wins a chess game is 0.4. Given that she plays only 5 games a week, find the probability that in any week she wins at least 2 games. *
Answer:
0.66304
Step-by-step explanation:
probability ( p ) = 0.4
number of games played ( n ) = 5
Find the Probability of winning at least 2 games
P( wining ) = 0.4.
P ( losing ) ( q ) = 1 - 0.4 = 0.6
x = 2 , 3 , 4 , 5
P ( at least 2 out of 5 ) = p( k=2) + p(k=3) + p(k=4) + p(k5 )
= 0.3456 + 0.2304 + 0.0768 + 0.01024
= 0.66304 ( using binomial distribution calculator )
Peter has $40.25 in his piggy bank. The amount is made up of an equal number of four coins. The coins could be 1c, 10c, 5c, 25c, 50c, and $1. Which four coin amounts are in the piggy bank, and how many of each coin. (the number of coins will be equal.)
Answer:
Step-by-step explanation:
It’s made up of the 1 dollar coin , .50 cents coin, .25 cents coin, and the .10 cents coin. If you multiply each by 25 you get the exact value , so these coins make it up but there is exactly 25 of each
s=10 what is the volume of the prism
what is the answer to
= √1 −
Answer:
0
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Its 1 because the square root of anything is that number having the ability to be multiplied by the same number. And that is going to be a positive number.
(Part 2) PLZ HELP
this is due today:(
-2x^3(3x^2-4x+7)
?????
Answer:
[tex]-6x^5+8x^4-14x^3[/tex]
Step-by-step explanation:
[tex]-2x^3(3x^2-4x+7)[/tex] Use distributive property
[tex]-2x^3[/tex] · [tex]3x^2[/tex] = [tex]-6x^5[/tex]
[tex]-2x^3[/tex] · [tex]-4x[/tex] = [tex]8x^4[/tex] Product becomes positive because of two negatives
[tex]-2x^3[/tex] · [tex]7[/tex] = [tex]-14x^3[/tex]
Group all of those numbers together (in order)
[tex]-6x^5+8x^4-14x^3[/tex]
The lines represented by the equations y = 2x – 2 and 2y - 4x = 2 are
O perpendicular
O neither parallel nor perpendicular
O the same line
parallel
Answer:
They are parallel but not the same
Step-by-step explanation:
because they have same slope or gradient which is 2
The softball in the mitt is 4.9 inches in diameter. What is its volume? (Use 3.14 for )
Volume is a three-dimensional scalar quantity. The volume of the softball is 61.6 cubic inches.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given that the diameter of the softball is 4.9 inches. Since the radius is half the diameter, therefore, the radius of the softball can be written as,
Radius = Diameter
= 4.9 inches / 2
= 2.45 inches
Now, the volume of the softball can be written as,
Volume of the softball = (4/3) × π × r³
= (4/3) × π × (2.45 inches)³
= 61.6 inches³
Hence, the volume of the softball is 61.6 cubic inches.
Learn more about Volume:
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