Answer:
a = 4
Step-by-step explanation: Given that
ar=2 where a is the first term and is the common ratio.
ar=2 ............1
Also give that a/1-r = 8 where a is the first term and r is the common ratio as well.
a/1-r = 8 ......... 2
From equation 1 make r the subject
ar=2
r= 2/a...........3
Put equation 3 into 2
a/1-2/a =8
a÷1-2/a
a = 8(1-2/a)
a= 8/1-16/a
a/1= 8a-16
a^2= 8a-16
Rewriting the above equation
a^2-8a+16=0
This will eventually be
a^2-8a+16=0
(a-4)^2= 0
a =4
If the average price of a new one-family home is $246,300 with a standard deviation of $15,000, find the minimum and maximum prices of the houses that a contractor will build to satisfy the middle 60% of the market. Assume that the variable is normally distributed.
Answer:
Step-by-step explanation:
P(-a<z<a)=0.60, from the symmetry of normal distribution, P(z<a) = 0.60+ (1-0.60)/2 =
0.60+0.4/2
0.60+0.2
= 0.8
Considering the standard normal distribution table, we have a = 0.80, thus
z =(x-m)/std = 0.80
the maximum x = m + 0.80×std =
Where m = 246300
Std = 15000
246300+0.80×15000
= 246300+12000
= 258300
For the minimum x
x = m - 0.80×std
x = 246300-0.80×15000
246300-12000
= 234300
can somebody help
me
Answer: answer 2
Step-by-step explanation:
Ben’s favorite deli says the average serving time is 12 minutes. Ben notices that the wait time at the deli varies at different times of day, before and after noon. His observations when the wait time is as advertised can be represented by the equation 2|x − 2| − 12 = 0. Solve for the times when the serving time is as advertised, relative to noon. Group of answer choices (THERES ALOT OF ANSWERS BE PREPARED) SELECT ALL THE ANSWER CHOICES.
4pm,
8pm,
9am,
3pm,
noon,
11am,
6pm,
9pm,
7am,
1pm,
2pm,
5pm,
10pm,
10am,
8am,
7pm,
6am,
Answer:
8 pm and 8 am
Step-by-step explanation:
Let us solve the equation
[tex]2|(x-2)|-12=0[/tex]
There is a modulus in the equation this means that one value of the modulus will be positive and the other will be negative
Let us solve for the positive first
[tex]2(x-2)-12=0\\\Rightarrow 2x-4-12=0\\\Rightarrow x=\dfrac{16}{2}\\\Rightarrow x=8[/tex]
Now we add this value with 12 noon
So
[tex]12+8=8\ \text{pm}[/tex]
Let us solve for the negative
[tex]2(-(x-2))-12=0\\\Rightarrow 2(2-x)-12=0\\\Rightarrow 4-2x-12=0\\\Rightarrow x=-\dfrac{8}{2}\\\Rightarrow x=-4[/tex]
So
[tex]12-4=8\ \text{am}[/tex]
The times when the serving time is as advertised is 8 pm and 8 am.
How many fewer boys’ shoes were 19 cm long than 22 cm long?
Answer:
6 boys
Step-by-step explanation:
I had a quizlet
As the standard deviation of outcomes for Martin Products increases, investing in Martin Products becomes riskier because:__________a. the range of outcomes having some probability becomes widerb. an outcome at or near the expected return of 10% becomes less likelyc. although the chances of some big gains increase, the chances for some big losses also increase.d. all of the above reasonse. none of the above reasons
Answer:
c. although the chances of some big gains increase, the chances for some big losses also increase.
Step-by-step explanation:
In the Martin Products, there is a probability that the investment could either succeed or fail. The standard deviation of the outcome carried out to determine the risks involved in investing in his products helps in trying to offer the investors the clearer picture of the risks involved.
Answer:
d. all the reasons above
If you add 1 more side to a triangle, you would have a: a.)pentagon. b.)quadrilateral. c.) hexagon
Answer:
quadratial
Step-by-step explanation:
When multiplying more than two integers, describe how you know the sign of the product
Answer:
The number of negative integers given determines the sign of the product.
Step-by-step explanation:
The sign of the product could either be negative or positive. This depends on the number of negatively directed integers in the given integers to be multiplied. Since all integers are directed numbers i.e either positive whole numbers or negative whole numbers.
Thus to know the sign of the product, if the number of negative integers is even, then the product would be positive. But if the number of negative integers is odd, the product would be negative.
Therefore, the number of negative integers given determines the sign of the product.
Find the slope of (5,-5) and (-4,5)
Answer:
Slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]
Step-by-step explanation:
We need to find the slope of points (5,-5) and (-4,5)
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=5, y_1=-5, x_2=-4 \ and \ y=5[/tex]
Putting values in formula and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\frac{5-(-5)}{-4-(5)}\\Slope=\frac{5+5}{-4-5}\\Slope=\frac{10}{-9}\\Slope=-\frac{10}{9}[/tex]
So, slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]
The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?
Answer:
1. customers
2. all customers
3. 170
4. 30
5. 10
Step-by-step explanation:
edgen 2020 :)
If x² + xy – 3y = 3, then at the point (2, 1), dy/dx
(A) 5
(B) 4
(C) 7/3 (D) 2
Answer:
A
Step-by-step explanation:
We are given the equation:
[tex]x^2+xy-3y=3[/tex]
And we want to find dy/dx at the point (2, 1).
Find dy/dx. We can take the derivative of both sides with respect to x:
[tex]\displaystyle \frac{d}{dx}[x^2+xy-3y]=\frac{d}{dx}[3][/tex]
Implicitly differentiate:
[tex]\displaystyle 2x+y+x\frac{dy}{dx}-3\frac{dy}{dx}=0[/tex]
Solve for dy/dx:
[tex]\displaystyle \begin{aligned} x \frac{dy}{dx} - 3\frac{dy}{dx} & = -2x - y \\ \\ \frac{dy}{dx}(x - 3) & = -2x - y \\ \\ \frac{dy}{dx} & = \frac{-2x-y}{x-3} \\ \\ & = \frac{2x+y}{3-x} \end{aligned}[/tex]
To find dy/dx at (2, 1), evaluate dy/dx for x = 2 and y = 1. Hence:
[tex]\displaystyle \frac{dy}{dx}\Big|_{(2, 1)}=\frac{2(2)+1}{3 - (2)}=\frac{5}{1}=5[/tex]
Hence, our answer is A.
We want to find the differential dy/dx for the given expression at the given point. We will see that the correct option is A.
How to differentiate the expression?
We have:
x^2 + xy - 3y = 3
First, we need to isolate the variable y in one side of the equation, so we get:
xy - 3y = 3 - x^2
y*(x - 3) = 3 - x^2
y = (x - x^2)/(x - 3)
Now we can differentiate this, remember that if:
f(x) = g(x)*h(x)
then:
f'(x) = g(x)*h'(x) + g'(x)*h'(x)
Using that rule.
dy/dx = (1 - 2x)/(x - 3) - (x - x^2)/(x - 3)^2
Now we need to evaluate this in x = 2 (the x-value of the point) so we get:
(1 - 2*2)/(2 - 3) - (2 - 2^2)/(2 - 3)^2
= (-3)/(-1) - (-2)/(1) = 5
So the correct option is A.
If you want to learn more about differentiation, you can read:
https://brainly.com/question/24898810
Is 2/15 and 3/30 proportional
Answer:
No
Step-by-step explanation:
To turn 15 into 30, you multiple 15*2=30.
If you do that to the bottom of the fraction, you should be able to do it to the top however, 2*2=4 not 3 so they are not proportional.
I need help with this please
Colin, Sara and Gordon share some sweets in the ratio 2:5:3. Colin gets 26 sweets. How many sweets are there altogether?
Answer:
130
Step-by-step explanation:
Ratio is 2:5:3. Colin get 2/10 of the sweets so 26/x=2/10. Use the butterfly method to get 260=2x. Divide both sides by 2 and get x=130/
When x is 4, y is 12. If y varies directly as x, which equation relates x and y?
Answer:
12/4
Step-by-step explanation:
y varies directly with x basically means y÷x so you will have to divide the variables together. In other words, it basically means y varies proportionally as x
so in this case, it would be 12 divided by 4 resembling that y varies directly as x
What is (4-5y) - (2y-16)
Answer:
4 - 5y - 2y + 16
like terms
20 - 7y
Answer:
4-5y)-(2y-16)=0
Step-by-step explanation:We add all the numbers together, and all the variables
(-5y+4)-(2y-16)=0
We get rid of parentheses
-5y-2y+4+16=0
We add all the numbers together, and all the variables
-7y+20=0
We move all terms containing y to the left, all other terms to the right
-7y=-20
y=-20/-7
y=2+6/7
what would be the value of m?
Answer:
126°
Step-by-step explanation:
First you need to find the 3rd inside angle.
72+54+x=180
126+x=180
x=54
Once you have the 3rd inner angle, you can take 180 and subtract it from it so you would have 180-54 which is 126
The value of 100 pennies is ___% of the value of a dollar
Answer:
The type of coins =pennies has = 100 pennies.
servant has a total number of 100 coins
The sum of the percentage and pennies = $100
Let us represent the number of nickels as which is _% = 55.4
The number of pennies as y
Step-by-step explanation:
PLEASEEEE HELPPPPPPPPPPPPPPPPPPPP
Try These questions out and I’ll give you brainliest My friends
Answer:
question 10 is B
Step-by-step explanation:
6 + x = 6 help please
Answer:
The correct answer is that x = 0.
Answer:
x=0
Step-by-step explanation:
6+x=6
x=6-6
x=0
Write a different expression that has the same quotient as -3/8 and 3/8.
Answer:
x = -3/8
Step-by-step explanation:
The equation of line j is y= -6/7x +7.Line k is perpendicular to j.What is the slope of line k?
Simplify your answer and write it as a proper fraction,improper fraction,or integer.
Answer:
y=7/6x
Step-by-step explanation:
When given an equation and asked to find the equation of a perpendicular line that intersects it, you know that the slope is the slope of the equation is the negative recipricoal of the given equation. i.e. y=2x+2 and y=-1/2x+2. The y-intercept does not matter.
I hope you understood and that this helps!
What compound inequality describes the graph shown below?
The weighted voting systems for the voters A, B, C, ... are given in the form q: w1, w2, w3, w4, ..., wn . The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on. Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If not possible, enter IMPOSSIBLE.) {76: 52, 39, 31, 25, 9}
Answer:
Banzhaf power index for each voter
Voter A = 3/4 = 0.75
Voter B = 0/4 = impossible
Voter C = 1/4 = 0.25
Step-by-step explanation:
using the Banzhaf power index for each voter
{76: 52, 39, 31, 25, 9}
Voter A = 52
Voter B = 39
Voter C = 31
Voter D = 25
Voter E = 9
lets calculate the Banzhaf power index for Voters A to C
A B = 52 + 39 ≥ 76
B C = 39 + 31 ≤ 76
A C = 52 + 31 ≥ 76
A B C = 52 + 39 + 31 ≥ 76
Lets consider critical
A B : A is critical because without A the sum < 76
B C : B is not critical because without B the sum is still < 76
A C : C is critical because without C the sum < 76
A B C : A is critical as B + C < 76
B is not critical as A + C ≥ 76
C is not critical as A + B ≥ 76
Number of times critical : For A = 3, For B = 0 , For C = 1
Banzhaf power index for each voter
Voter A = 3/4 = 0.75
Voter B = 0/4 = impossible
Voter C = 1/4 = 0.25
The problems in this lesson review basic arithmetic skills.
Answer:
false
Step-by-step explanation:
After 7 hours of driving. Chad had gone 364 miles. What was his average speed? Explain how you got your answer.
Answer:
52 miles per hour
Step-by-step explanation:
Given:
Distance driven = 364 miles
Total time taken = 7 hours
Required:
Average speed of Chad
SOLUTION:
Average speed is the number of miles covered per hour.
Thus:
Average speed = distance covered / time taken to cover the distance
Average speed = [tex] \frac{364}{7} = 52 mph [/tex].
Chad's average speed is 52 miles per hour.
Why can prime number be a multiple of any other number except itself
Answer:
the factors of prime numbers are only 1 and itself
Answer:
A factor number can only be divided by itself or 1 meaning it cant be a factor anything more than that.
Step-by-step explanation:
The Jimenez family is bringing 12 packages of hamburger and hotdog buns to the neighborhood picnic. The hamburger buns cost $2.00 per package. The hot-dog buns cost $1.50 per package. They spent $20 for the buns. Create and solve a system of equations that can be used to find the number of packages of each type of bun purchased.
Answer:
The system of equations is x + y = 12 and 2x + 1.5y = 20
The number of packages of the hamburger is 4
The number of packages of the hotdog is 8
Step-by-step explanation:
Assume that they bringing x packages of hamburger y packages of hotdog
∵ x represents the number of packages of hamburger
∵ y represents the number of packages of hotdog
∵ Jimenez family is bringing 12 packages of hamburger and hotdog buns
∴ x + y = 12 ⇒ (1)
∵ The hamburger buns cost $2.00 per package
∵ The hot-dog buns cost $1.50 per package
∵ They spent $20 on the buns
∴ 2x + 1.5y = 20 ⇒ (2)
The system of equations is x + y = 12 and 2x + 1.5y = 20
Let us solve it to find x and y
→ Multiply equation (1) by -1.5 to make the coefficients of y equal in
values and different in signs to eliminate it
∵ -1.5(x) + -1.5(y) = -1.5(12)
∴ -1.5x - 1.5y = -18 ⇒ (3)
→ Add equations (2) and (3)
∵ (2x + -1.5) + (1.5y + -1.5y) = (20 + -18)
∴ 0.5x = 2
→ Divide both sides by 0.5 to find x
∴ x = 4
→ Substitute the value of x in equation (1) or (2) to find y
∵ 4 + y = 12
→ Subtract 4 from both sides
∴ 4 - 4 + y = 12 - 4
∴ y = 8
∴ The number of packages of the hamburger is 4
∴ The number of packages of the hotdog is 8
the answer are...
a. -2
b. -1/2
c. 1/2
d. 2
Answer:
C. 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 4)
Point (-8, 0)
Step 2: Find slope m
Substitute: [tex]m=\frac{0-4}{-8-0}[/tex]Subtract: [tex]m=\frac{-4}{-8}[/tex]Simplify: [tex]m=\frac{1}{2}[/tex]2. Joanne's car insurance is reduced by 10% for each year that she has not had an
accident.
The normal cost of her insurance is £420 but she has a 3-years' no claims bonus.
How much is her insurance?
Answer:
220
Step-by-step explanation: