Answer:
799.04
Step-by-step explanation:
if 8 is the radius, use pi(r)^2 to get 64 pi is the area of the circle, plug in 3.14 and you will get 200.96 - 50(20) which is 1000 so you get 779.04
Natalie is playing a game using a fair coin. Contestants win the game if the fair coin lands tails up. The theoretical proabaility that the coin will lamd tails is ? If 250 contestants play the game, about of them are expected to win
The theoretical probability of landing on tails is P = 0.5, and out of the 250 contestants, around 125 will win the game.
About how many contestants will win?
The coin has two possible outcomes, so if it is a fair coin, the probability for each of the outcomes will be 0.5 (this is the theoretical probability for a fair coin, where all the outcomes have the same probability).
Now, we know that a person wins if the coin lands tails up, and the probability of landing on tails is 0.5
Then, for a sample N, we can expect that about 0.5*N of the participants win.
In this case, the sample is 250, then we can expect that:
0.5*250 = 125
Around 125 of the contestants win the game
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
Olga just got a new job, and she is looking to lease a car. Dealer A offers her a $2400 trade-in on her old car, with lease payments of $360 a month. Dealer B offers a trade-in of $2000 with payments of $320 a month. Olga wants to lease the car for only 6 months. Which deal is better for her?
Answer:
$2000 with payments of $320 a month
Step-by-step explanation:
360 x 6 = 2160
2160 + 2400 = 4560
320 x 6 = 1920
1920 + 2000 = 3920
Answer:
dealer A
Step-by-step explanation:
A: 360×6=2160
2400-2160=240
they save $240
B: 320×6=1920
2000-1920=80
they save $80
PLEASE HELP ASAP!!
A savings account starts with $420. After 6 years of continuously compounding at an interest rate, r, the account has a balance of $1,300. What is the interest rate percentage (do not type % it is already there)? Round answer to the nearest hundredth.
Answer:
18.83% (nearest hundredth)
Step-by-step explanation:
Continuous Compounding Formula
[tex]\sf A=P(e)^{rt}[/tex]
where:
A = amountP = principal (initial amount)e = mathematical constant ≈ 2.7183r = interest rate (in decimal form)t = time in yearsGiven:
A = $1,300P = $420t = 6 yearsSubstituting given values into the formula:
[tex]\sf \implies 1300=420(e)^{6r}[/tex]
[tex]\sf \implies \dfrac{1300}{420}=e^{6r}[/tex]
[tex]\sf \implies e^{6r}=\dfrac{65}{21}[/tex]
Taking natural logs of both sides:
[tex]\sf \implies \ln e^{6r}=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies 6r\ln e=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies 6r(1)=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies 6r=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies r=\dfrac16 \ln \dfrac{65}{21}[/tex]
[tex]\sf \implies r=0.1883108054...[/tex]
Therefore, the interest rate is 18.83% (nearest hundredth)
help please!! math …
Answer:
the fourth graph, bottom left, is the correct one
Step-by-step explanation:
the line, also known as a line of best fit is best graphed to make sure that it covers all of the points, not including outliers. You want to make sure that the line of best fit has an fairly similar amount of points on either side, but there may be one or two outliers that are way far apart; you shouldn't need to worry about them.
The expression 11.5+ (4+ (-6.5)) is to be rewritten by applying the commutative
and associative properties of addition. If you use each property only one time,
which expression could be the result?
O (11.5+ (-6.5)) + 4
O 11.5+ (2.5)
O (4+ (-6.5)) +11.5
O (11.5 + 4) + (-6.5)
Answer:
C. [tex](4+ (-6.5)) +11.5[/tex]
Step-by-step explanation:
Just exchange:
11.5 + (4 + ( - 6.5 ) )
⇒ (4+ (-6.5)) +11.5
After applying the property the expression would be (4+ (-6.5)) +11.5.
What is Associative property?Changes to the order of the addends have no effect on the sum, according to the associative feature of addition.
For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) or (2 + 3) + 4
Given:
11.5+ (4+ (-6.5))
In Above case we can use the Associative property over addition.
For this we just need to exchange the position of number along with their signs.
So, 11.5+ (4+ (-6.5))
= (4+ (-6.5)) +11.5
Hence, after applying the property the expression would be (4+ (-6.5)) +11.5.
Learn more about Associative property here:
https://brainly.com/question/5637942
#SPJ2
In the accompanying diagram of a unit circle, the ordered pair (x,y) represents the point where the terminal side of 0 intersects the unit circle. If 0=150, what is the value of x.
A.
B.
C.
D.
Answer:
Below in bold.
Step-by-step explanation:
tan 150 = -tan 30
= -1/√3 = y/x (1)
This is a unit circle so the hypotenuse = 1.
so sin 150 = y/1 = y
y = 1/2
So substituting in equation (1)
1/2 / x = -1/√3
-x = √3/2
x = -√3/2.
The value of x in the unit circle is -√3/2.
Option B is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
Since the angle is 150 degrees, we know that it is in the second quadrant, where the x-coordinate is negative and the y-coordinate is positive.
Since the circle has a radius of 1, the y-coordinate is sin(150) = 1/2.
To find the x-coordinate, we can use the formula x = cos(θ), where θ is the angle in radians.
To convert 150 degrees to radians, we multiply by π/180:
150 degrees x π/180 = 5π/6 radians
So,
x = cos(5π/6) = -√3/2.
Therefore,
The value of x is -√3/2.
Learn more about circle here:
https://brainly.com/question/11833983
#SPJ2
what is the opposite of -3.4
Answer:
3.4
Step-by-step explanation:
The opposite of a number is the same as the additive inverse of the number.
Two numbers are opposites, or additive inverses, if they add to zero.
For a positive or a negative number, just change its sign to find its opposite. For zero, its additive inverse is zero.
The opposite of -3.4 is 3.4.
Answer: 3.4
The opposite of a positive number is a negative number.
The opposite of a negative number is a positive number.
-3.4 is a negative number, so its opposite is a positive number.
Hence, the answer is 3.4
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
10, 3, 17, 1, 8, 6, 12,
Jason customizes and sells water bottles. He must sell each water bottle for less than $15, otherwise then nobody may buy them. Which number line represents all the possible prices for which Jason could sell a water bottle and make a profit?
Answer:
i cant really tell because there is no real explannation
Step-by-step explanation:
Eight less than four times a number is less than 56. What are the possible values of that number?
Answer:
Let the number be x
when it is 8less than 4times the x the inequality equation we get is:
4x-8<56 (since it says it's less than 56)
4x<56+8
4x<64
x<64÷4
x<16
the possible values are all numbers less than 16
Find the slope of the line that is parallel and perpendicular to the following equation.
-5x - y = 1
Answer:
slope of perpendicular: [tex]\sf \bold{\frac{1}{5} }}[/tex]
slope of parallel: -5
rewrite in slope intercept form: [ y = mx + b ]
-5x - y = 1-y = 1 + 5xy = -5x - 1comparing with y = mx + b [ where m is slope, b is y-intercept ]
Parallel slope is same
formula: m₁ = m₂
m = -5slope of parallel: -5
Perpendicular slope is negatively reciprocal
formula: m₁ = -(m₂)⁻¹
m₁ = -(-5)⁻¹m₁ = -(-1/5)m₁ = 1/5slope of perpendicular: 1/5
Answer:
Slope of the line that is parallel: -5
Slope of the line that is perpendicular: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)-5x - y = 1 <== add 5x to both sides
+5x +5x
-y = 5x + 1 <== divide both sides by -1
/-1 /-1
y = -5x - 1
The slope of the line that is parallel to this line is -5.
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (-5)
2. Flip it (-1/5)
3. Change the sign (1/5)
For a slope of -5, the reciprocal would be: [tex]\frac{1}{5}[/tex]
Hope this helps!
A rhombus has a perimeter of 52 inches. It’s shorter diagonal is 10 inches in length. which of the following is the length of its longer diagonal?
Answer:
ok it's a good question... so answer to that is... I also don't know..
Ms. Brown will randomly choose a student in Justin's class to erase the board. There are 26 students in the class. What is the probability that Ms. Brown will choose Justin to erase the board two days in a row?
Answer:
2 out of 24
Step-by-step explanation:
Two days, meaning each day there will be a chance that Justin is chosen to take away that chance for one of his fellow classmates.
Find x and y
Y 12 x 6
Answer:
Step-by-step explanation:
A party tent is used for an outdoor event. Ropes of equal length
support each tent pole. The angle the rope makes with the floor is
55
What is the height of each pole?
28 ft
Enter your answer in the box. Round only your final answer to the
nearest tenth
Answer:
22.9
Step-by-step explanation:
Using the sin formula you can figure out the far side of the pole. Since one would be 28, the hyponetuse, and the angle is 55 degrees you should do sin 55 = x/28.
23). figure b is a scale image of figure a enter the scale factor applied.
24). to figure A to produce fiber B
Answer:
9
Step-by-step explanation:
The scale factor is the ratio of a Figure B dimension to the corresponding Figure A dimension.
__
The ratio of left-side dimensions is ...
scale factor = fig B/fig A = 81/9 = 9
The scale factor is 9.
Answer:9
Step-by-step explanation:
For each ordered pair determine whether it’s a solution to
Y=6x-4
Answer:
The answer is in the image
Step-by-step explanation:
help please will mark brainliest
Answer: 450
Step-by-step explanation:
Mandy has a total of $2.00 in change in her purse. Complete each set of coins below to show amounts equivalent to $2.00.
4 quarters, 5dimes,
______nickels
10 pennies, ____
dimes, 3 quarters, 5 nickels
2 quarters, 12 dimes, 3 nickels,______
pennies
______quarters, 4 dimes, 6 nickels, 5 pennies
Answer:
10 nickels
9 dimes
5 quarters
Step-by-step explanation:
Answer:
10 nickels, 9 dimes, 15 pennies, 5 quarters
Step-by-step explanation:
I'm a little confused by the question, but, I'll assume that each one is separated by a space.
4 quarters + 5 dims = 1.50. So, there would be 10 nickels.
10 pennies + 3 quarters + 5 nickels = 10+75+25=110. So, 9 dimes
2 quarters + 12 dimes + 3 nickels= 50 + 120 + 15 = 15. So, 15 pennies
4 dimes + 6 nickels + 5 pennies = 40+30+5=75. So, 5 quarters
Linear Sequences
Please help with this question
Put either a,b,c,d
It is on linear sequences
35 points up for grabs
Answer:
please help the question
Step-by-step explanation:
A rugby team sells tickets for $8. The team sells 129 tickets. How much money does the rugby team collect?
Answer:
136 tickets
You have to do 8x17
A large box of crackers away 20 Oz if James needs 3 pounds of crackers for a party how many boxes of crackers should he buy
Answer:
James will need to buy 3 boxes of crackers for the party.
Step-by-step explanation:
remember: 16oz=1 pound
If James needs 3 pounds of crackers, and each box is 20oz, that means each box is a little over 1 pound. (1.25 pounds to be exact). So, we know that he needs to buy 3 boxes of crackers. This is because 20×3=60 ounces which is 3.75 pounds. Meaning, 3 boxes is the correct answer since we can't cut a box in half.
Can someone explain this step by step? I'm very confused on how to solve it. Thanks!
Answer:
x = -8
Step-by-step explanation:
I will show each step algebraically. If you need further explanation, feel free to ask questions :)
[tex]\frac{x}{2} +7=3\\[/tex] Rewrite
[tex]\frac{x}{2} =-4[/tex] Subtract 7
[tex]x =-8[/tex] Multiply by reciprocal (2/1)
I hope this helps!
Answer:
X = -8
Step-by-step explanation:
So we will start with subtracting 7 from 3, which is -4.
So now you have x/2 = -4
Now we have to find what divided by 2 equals -4 so, we do 2 x -4, which is -8.
This is how we get our answer, x = -8
Un obrero tiene una escalera de 12 metros. ¿Que ángulo debe formar con el suelo para alcanzar una altura de 8 metros?
Usando el concepto de seno, hay que la escalera debe formar un angulo de 41.8º con el suelo.
¿Qué es el seno de un angulo?El seno de un angulo viene dada por el cambio vertical dividido por el cambio diagonal.
En este problema:
El cambio diagonal es de 12 metros.El cambio vertical es de 8 metros.Por eso:
[tex]\sin{\alpha} = \frac{8}{12}[/tex]
[tex]\alpha = \sin^{-1}{\left(\frac{8}{12}\right)}[/tex]
[tex]\alpha = 41.8^\circ[/tex]
La escalera debe formar un angulo de 41.8º con el suelo.
Puede-se aprender más a cerca de el concepto de seno en https://brainly.com/question/24766917
#SPJ1
giving 15 points please help
Answer:
6
Step-by-step explanation:
if you calculate it all in, 6x4 is 29. so you do 1/2x29 and divide it by three, then add 2 to that and in conclusion its equal to 6 (im sure!!) ive double checked so go ahead put that answer in.
Write an expression equivalent to/that has two terms. 2x - 1/2 (10 - 4x)
Answer:
4x - 5
Step-by-step explanation:
To make this 2 terms, we'll have to first identify if we have to distribute anything.
Since 10 - 4x is inside a parenthesis and [tex]\frac{1}{2}[/tex] is beside that, we know that we'll have to distribute the expression.
[tex]-\frac{1}{2}[/tex] (10 - 4x) = [tex]-\frac{10}{2}[/tex] + [tex]\frac{4}{2}[/tex]x = -5 + 2x.
Then, combine like terms:
2x - 5 + 2x = 4x - 5.
Remember, the coefficient always goes before the constant.
Your answer should be 4x - 5.
Ronnie walked into the electronics store and fell in love with a stereo speaker. The speaker cost $500. Since Ronnie only had $ 60, he decided to use his credit card to purchase the $500 speaker.
In two or more complete sentences explain whether or not Ronnie’s purchase is an example of an impulse purchase?
Ronnie's purchase is not an example of impulsive buying because he had an intention to buy electronic device Impulsive Buying
What is Impulsive Buying?Impulsive buying is simply a situation buyers are faced with when they purchase items they do not really need or no intention prior to the time of purchase.
However, in this situation Ronnie purchase is not an example of impulsive buying because he had intention to purchase an electronic device, hence he walked into and electronic store.
Learn more about impulsive buying here:https://brainly.com/question/24260
Please help me with this question!
Answer:
c 30ft
Step-by-step explanation:
the shape would be a triangle, so you use the formula w^2+l^2=d^2
width is 16, diagonal is 34
1156=l^2+256
you subtract on both sider to get l^2= 900
square root of 900 is 30
What is this transformation called?
Answer:
It is translation
the car stays the same when it moves from BLUE to B"L"U"E"
Step-by-step explanation:
if it was a rotation, the car would be upside-down in the final product.
if it was a reflection, the car would also be upside-down.
if it was a dilation the final product would be smaller.
This is how we know is a translation.
The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. If the area of each circular target is 28.26 square feet, what is the diameter of each circle? Use 3.14 for π and round your answer to the nearest tenth.
Answer: A) 7.1 square feet
Step-by-step explanation:
area of a circle= πr^2
given,
d=3 feet=3/2=1.5 feet
hence,
area of a circle= πr^2
= 3.14×(1.5)^2
= 7.065
=7.1 square feet.