Solve using the quadratic formula: 2n^2= 6n - 2
Answer:
[tex]n_1=(3 + 1\sqrt{5} )/2\\\\n_2=(3 - 1\sqrt{5} )/2[/tex]
Step-by-step explanation:
[tex]2n^2= 6n - 2\\\\2n^2-6n+2=0\\\\a=2\\\\b=-6\\\\c=2[/tex]
[tex]n=(-b \pm \sqrt{b^2-4ac} )/2a\\\\n=(-(-6) \pm \sqrt{(-6)^2-4(2)(2)} )/2(2)\\\\n=(6 \pm \sqrt{36-16} )/4\\\\n=(6 \pm \sqrt{20} )/4\\\\n=(6 \pm 2\sqrt{5} )/4\\\\n=(3 \pm 1\sqrt{5} )/2\\\\n_1=(3 + 1\sqrt{5} )/2\\\\n_2=(3 - 1\sqrt{5} )/2[/tex]
An insurance company sells one-fourth as many preferred policies as standard policies and one-fourth as many ultra-preferred policies as preferred policies. All policies are classified as standard, preferred, or ultra-preferred. Calculate the probability that a randomly selected policy is ultra-preferred.
Answer:
4.7619%
Step-by-step explanation:
Let's suppose the insurance company sells 16 standard policies.
For every 16 standard policies sold, the company sells 1/4 x 16, or 4, preferred policies.
For every 4 preferred policies sold, the company sells 1/4 x 4, or 1, ultra-preferred policy.
Therefore, for every ultra-preferred policy sold, the company sells:
16+4+1=21 total policies
So the probability of any 1 random policy selected being ultra-preferred is 1/21, or 4.7619% ....................
-1/2 (30x + 16) Help Please!
A. -27x - 7
B. -15x - 8
C. -18x - 9
Answer:
A -(27x + 7)
B -(15x + 8 )
C -9(2x + 1 )
Step-by-step explanation:
-1/2 (30x + 16) = -15x-8
Your brother is 1/3 your age your sister is 4 years older than your brother your sister is 9 years old write and solve an equation to find your age a
Please give equation and age :)
PLLLLLLSSSSSS Help Will Mark Brainlest but must explain what you did in 20 minutes
The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time.
The price f(x), in dollars, of product A after x years is represented by the function below:
f(x) = 72(1.25)x
Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the price f(t), in dollars, of product B after t years:
t (number of years) 1 2 3 4
f(t) (price in dollars) 65 84.5 109.85 142.81
Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
Answer:
A) The price of product A is increasing by 3% per year.
(B) The product A recorded a greater percentage change in price over the previous year.
Step-by-step explanation:
(A)
The function representing the price, in dollars, of product A after x years is:
FA(x)=0.69*(1.03)x
The function FA(x)can be written as:
FA(x)=0.69*1+(0.03)x
The function FA(x) is similar to the exponential growth function, y=a(1+r)x .
Here r is the growth rate.
Thus, it can be said that the price of product A is increasing by 3% per year.
(B)
Consider the data of product B for the year 3 and 4.
The price of product B for year 3 and 4 are 10,303.01 and 10,406.04.
Compute the percent price change from year 3 to 4 as follows:
10406.04-10303.01/10303.01*100
which is 0.999%
~1%
The price of product B is increasing by 1% per year.
Thus, the product A recorded a greater percentage change in price over the previous year.
Slope= -1 and passes through (8,5) write in y=mx+b form
Please heeeeeeeeeeeeeeeeeeeeeeeeeelp
For the function f(x)=13x, as x gets bigger, does f(x) increase or decrease?
Answer:
decrease
Step-by-step explanation:
i got it right on prepworks
Hope this helped!
Stay safe! <3
PLEASE HELP!!
adding and subtracting complex numbers
1-) (12-3i)+(7+3i)
2-). (12+4i)-(3-7i)
Step-by-step explanation:
1) 19+i
2) 9-3i
hope this helps bro
Answer:
1. 19
2. 9 + 11i
Step-by-step explanation:
first problem:
first, we rewrite it and remove the parentheses.
12 - 3i + 7 + 3i
then, just remove the opposites and calculate.
19
second problem:
again, we rewrite and remove the parentheses.
12 + 4i - 3 + 7i
then, we calculate and collect like terms.
9 + 11i
Please answer this correctly without making mistakes
Answer: $200 off is the better option.
Step-by-step explanation: 200 is greater than half of 399.80.
Answer:
The purple coupon
Step-by-step explanation:
so its pretty straightforward
the 50% off of 399.80 is about 200 dollars becuase you can use basic estimation and we know half of 400 is 200 so about 200 dollars and a little less becuase of that 20 cents
The $200 off on a purchase $350 or more is better becuase since its Exactly $200 dollars off so Nancy would’ve saved more since $200 is greater than half of 399,80 which is 199.90.
Peter bought 8 lemons for $6. Each lemon was the same price.
What was the cost for1 lemon?
Answer:
Given - 8 lemons is of $6
To find - Price of 1 lemon
Solution -
8 lemons = $ 6
1 lemon = ?
1 * 6 / 8
6/8
3/4
0.75 $
What is the sum of 650÷1.6
A teacher selects a student at random from his class of 20 students every week for 20 consecutive weeks. There are 8 girls and 12 boys in the class. What is the probability that there are exactly 12 weeks in which a girl is selected
Answer:
The value is [tex]P(X = 12) = 0.0356 [/tex]
Step-by-step explanation:
From the question we are told that
The number of boys in the class is [tex]b = 12[/tex]
The number of girls in the class is [tex]g = 8[/tex]
The total number of students is is n = 20
The number of weeks is N = 20
The probability of selecting a girl is mathematically represented as
[tex]p = \frac{8}{20}[/tex]
=> [tex]p = 0.4[/tex]
The probability of not selecting a girl is mathematically represented as
[tex]q = 1- \frac{8}{20}[/tex]
=> [tex]q =0.6[/tex]
Generally the selection of students from the class follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{N}C_x * p^x * (q)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that there are exactly 12 weeks in which a girl is selected is mathematically represented as
[tex]P(X = 12) = ^{20}C_{12} * 0.4^{12} * (0.6)^{20-12}[/tex]
[tex]P(X = 12) = 125970 * [1.678*10^{-5}]* 0.016796 [/tex]
=> [tex]P(X = 12) = 0.0356 [/tex]
5x+0(x+y)-3y+14-3(y-x)=
Answer please
Answer:
Simplifying
5x + 0(x + y) + -3y + 14 + -3(y + -1x) = 0
Anything times zero is zero.
5x + 0(x + y) + -3y + 14 + -3(y + -1x) = 0
Reorder the terms:
5x + 0 + -3y + 14 + -3(-1x + y) = 0
5x + 0 + -3y + 14 + (-1x * -3 + y * -3) = 0
5x + 0 + -3y + 14 + (3x + -3y) = 0
Reorder the terms:
0 + 14 + 5x + 3x + -3y + -3y = 0
Combine like terms: 0 + 14 = 14
14 + 5x + 3x + -3y + -3y = 0
Combine like terms: 5x + 3x = 8x
14 + 8x + -3y + -3y = 0
Combine like terms: -3y + -3y = -6y
14 + 8x + -6y = 0
Solving
14 + 8x + -6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + 8x + -14 + -6y = 0 + -14
Reorder the terms:
14 + -14 + 8x + -6y = 0 + -14
Combine like terms: 14 + -14 = 0
0 + 8x + -6y = 0 + -14
8x + -6y = 0 + -14
Combine like terms: 0 + -14 = -14
8x + -6y = -14
Add '6y' to each side of the equation.
8x + -6y + 6y = -14 + 6y
Combine like terms: -6y + 6y = 0
8x + 0 = -14 + 6y
8x = -14 + 6y
Divide each side by '8'.
x = -1.75 + 0.75y
Simplifying
x = -1.75 + 0.75y
Step-by-step explanation:
I'm not sure if the graph or equation answers your question or not sorry if I did it wrong.
Plz help me
Answer this plz:
Answer:
sss
Step-by-step explanation:
Which ordered pair is a solution of this
equation?
-6x + y = 35
Click on the correct answer.
(-7,-1)
(-1,-7)
(-1,-6)
(-6,-1)
Can someone please help me it’s urgent i dont get it
Answer:
afsdcfvvvcxsc
Step-by-step explanation:
Answer:
$23,205
Step-by-step explanation:
dk if it's right but thatts what I got
15%×$27,300 =$409,500
$409,500÷100=$4095
$27,300-$4095
=$23,205
dont trust me doe I might be wrong
Linear functions can always be expressed by the form f(x) = mx + b.
Select one:
True
False
Solve for y in the following equation.
Answer:
[tex] y = \frac{z^2 - x}{2} [/tex]
Step-by-step explanation:
Given:
[tex] \sqrt{x + 2y} = z [/tex]
Required:
Solve for y (make y the subject of the formula)
SOLUTION:
[tex] \sqrt{x + 2y} = z [/tex]
Square both sides
[tex] (\sqrt{x + 2y})^2 = z^2 [/tex]
[tex] x + 2y = z^2 [/tex]
Subtract both sides by x
[tex] 2y = z^2 - x [/tex]
Divide both sides by 2
[tex] y = \frac{z^2 - x}{2} [/tex]
100 points HELP PLEASE!!!
It doesn't show?????
On average, carwash location 1 washed 145 cars daily, carwash location 2 washed 211 cars daily, and car wash location 3 washed 184 cars daily. Approximately how many cars were washed over a 4-day period?
Answer:
In 4 days approx. 1527 cars were washed over a 4-day period.
Step-by-step explanation:
To find out how many cars were washed in these 3 washes over 4 days as long as they stay at the same constant number, simply multiply the number of cars each wash washes a day by 4 then add it all together. See below:
145 x 4 = 580
211 x 4 = 211
184 x 4 = 736
580 + 211 + 736 = 1527
So, in 4 days approx. 1527 cars were washed over a 4-day period.
Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest!
Which graph has a slope of 4/5?
Answer:
B
Step-by-step explanation:
It goes rise over run. So it goes up four squares and to the right five squares.
Answer:
B
Step-by-step explanation:
Select each equation that the number 103 makes true.
A. 6.01 x __ = 601
B. 0.305 x __ = 305
C. 0.54 x __ = 540
D. 0.097 x __ = 970
E. 0.97 x __ = 97
Answer:
its would be a
Step-by-step explanation:
Sue baked 5 pies and cut each one into sixth. how much money would she make if she sold each slice for $0.75
Answer:
$22.50
Step-by-step explanation:
5 x 6 = 30 slices
30 x 0.75 = $22.5
Answer:
I think 22.5 dollars for the total
Two coins, A and B, each have a side for heads and a side for tails. When coin A is tossed, the probability it will land tails-side up is 0.5. When coin B is tossed, the probability it will land tails-side up is 0.8. Both coins will be tossed 20 times. Let A represent the proportion of times coin A lands tails-side up, and let PB represent the proportion of times coin B lands tails-side up. Is the number of fosses for each coin enough for the sampling distribution of the difference in sample proportions PA-PB to be approximately normal?
a. Yes, 20 tosses for each coin is enough.
b. No, 20 tosses for coin A is enough, but 20 tosses for coin B is not enough.
c. No, 20 tosses for coin A is not enough, but 20 tosses for coin B is enough.
d. No, 20 tosses is not enough for either coin.
e. There is not enough information given to determine it 20 tosses is enough.
Answer:
Is the number of tosses for each coin enough for the sampling distribution of the difference in sample proportions PA-PB to be approximately normal?
b. No, 20 tosses for coin A is enough, but 20 tosses for coin B is not enough.
Step-by-step explanation:
a) Data and Calculations:
The probability of coin A landing tails-side up (PA) = 0.5
Therefore, the probability of coin A landing heads-side up = 0.5 (1 - 0.5)
This is why 20 tosses for coin A is enough, since the sample proportions PA is approximately normal, symmetric, and equally distributed. There will be equal amounts of 10 tosses (0.5 *20) for either heads-side up or tails-side up.
For coin B, the probability of landing tails-side up (PB) = 0.8
Therefore, the probability of coin B landing heads-side up = 0.2 (1 - 0-.8)
This is why 20 tosses for coin B is not enough, since the sample proportions PB is not approximately normal, symmetric, and equally distributed. There will be 16 tosses landing tails-side up (0.8*20) and only 4 tosses landing heads-side up (0.2*20).
the equations y= 3/5x + 2 and y= 1/3x + 2 represent the flight paths of two diffrent airplanes mapped out on the coordinate plane . Graph the point at which they will fly over each other.
Answer:
There is no answer for this question.
Step-by-step explanation:
Since 3/5x+2 not equal to 1/3x+2, so, no answer
six clowns perform three acts in a circus. the clowns appear two at a time. Jack, Marty, and Orville are paired with Kelly, Leslie and Nancy in some order. Kelly and her partner appear after jack and his partner. Orivlle also comes on before Kelly, and Leslie appears before Nancy. Jack and Leslie are partners. Witch pair peforms second?
Answer:
The pair that performs second are Orville and Nancy.
Step-by-step explanation:
Since Jack and Leslie are partners and that they appear before Kelly, it is safe to assume that this pair may come first beforehand in which Orville also comes on before Kelly. Nancy also appears before Leslie and since each pair has a female and a male, it is safe to assume that Orville and Nancy perform second while Jack and Leslie perform first and Kelly and Marty perform last.
15x=75
help me plsssssssssssss
The world record for the men’s 10000 meters was 26 minutes 17.53 seconds held by kenenisa bekele of Ethiopia. What was his average speed throughout the race?
Answer:
6.33 m/s
Step-by-step explanation:
Given that,
The world record for the men’s 10000 meters was 26 minutes 17.53 seconds.
Distance = 10000 m
Time, t = 26 minutes 17.53 seconds = 1577.53 s
We need to find the average speed throughout the race. It is equal to total distance divided by total time taken.
[tex]v=\dfrac{10000\ m}{1577.53\ s}\\\\=6.33\ m/s[/tex]
So, the average speed is 6.33 m/s.
What is 100 x 3567 will be given brainliest to the first one!!!!!!!!!!
Answer:
356700
Step-by-step explanation:
By calculation using calculator