Given:
The points are (5,40) and (0,10).
To find:
The equation for the trend line using the given points.
Solution:
If a line passes through two points, then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Two points are (5,40) and (0,10). So, the equation of trend line is
[tex]y-40=\dfrac{10-40}{0-5}(x-5)[/tex]
[tex]y-40=\dfrac{-30}{-5}(x-5)[/tex]
[tex]y-40=6(x-5)[/tex]
[tex]y-40=6x-30[/tex]
Adding 40 on both sides, we get
[tex]y=6x-30+40[/tex]
[tex]y=6x+10[/tex]
Therefore, the equation of trend line is [tex]y=6x+10[/tex].
what is 18/40 in simplest form?
Answer:
9/20
Step-by-step explanation:
18 is divided by 2 equals 9
---
40 is divided by 2 equals 20
A recreational court is twice as long as it is wide. if the perimeter is 210 feet, find the width and length .
Answer:
The court has a length of 70 feet, and a width of 35 feet.
Step-by-step explanation:
We know two things:
the the length is twice the width
l = 2w
We also know that the perimeter is 210 feet. Noting that the perimeter of a rectangle is equal to twice its length plus twice its width, we can say:
210 = 2w + 2l
Now we can substitute the first definition of l into the second equation:
210 = 2w + 2(2w)
And now we can solve for w:
210 = 2w + 2(2w)
210 = 2w = 4w
210 = 6w
w = 210 / 6
w = 35
Now that we have w, we can plug that into our first little equation to find l:
l = 2w
l = 2 × 35
l = 70
So the width of the court is 35 feet, and it's length is 70.
Jamie has $70 in a savings account. The interest rate is 5%,
compounded annually.
To the nearest cent, how much will he have in 2 years?
*pls hurry . *
Answer:
$77
Step-by-step explanation:
10% of 70$ is $7
$70+$7=$77
4. What is the volume of a rectangular prism that has the following
dimensions?
Length - 5 inches
Width - 7.5 inches
Height - 12 inches
Answer:
450cm3 or 450 cube cm.
Step-by-step explanation:
Formula = Length x Width x Height
So,
5 x 7.5 x 12 = 450cm3
3 to 4 is equivalent to the ratio of x to 36. What will x be?
Answer:
x = 27
Step-by-step explanation:
A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger. Use a double number line to complete the table.
Weight (lb)
2
3
4
5
Cost ($)
7.00
10.50
14.00
17.50
What is the unit rate in this relationship?
Step-by-step explanation:
fresco didn't Divo ratify jdndodnswjskd ksosbwjw
Convert 6 months to years
Answer: 0.500001
Step-by-step explanation: Hope that helps!
m^2+5=14
[tex] {x}^{2} [/tex]
x2+5=14
Answer:
okeed
Step-by-step explanation:
Pls help I’ll brainlest
Graph the function
Need help ASAP plz
Given:
The equation of a function is
[tex]y=(x-4)^2+1[/tex]
To find:
The graph of the given function.
Solution:
The vertex form of a parabola is
[tex]y=(x-h)^2+k[/tex] ...(i)
Where, (h,k) is vertex of the parabola.
We have,
[tex]y=(x-4)^2+1[/tex] ...(ii)
From (i) and (ii), we get
[tex]h=4, k=1[/tex]
The vertex of the parabola is (4,1).
Now, the table of values is
x y
2 5
3 2
4 1
5 2
6 5
Plot these points on a coordinate plane and connect them by a free hand curve.
The graph of given function is shown below.
Suppose a 99% confidence interval for the mean weight of high school girls in pounds is (102.3, 106.5). If we had measured the weights of each of the girls in kilograms (2.2 pounds = 1 kilogram) then the confidence interval for the mean weight of high school girls in kilograms would have been
Answer:
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).
Step-by-step explanation:
To find the interval, we can just make the conversion of the values from pounds to kilograms.
Each kilogram has 2.2 pounds. So, to realize the conversion from pounds to kilograms, we divide by 2.2.
Confidence interval: (102.3 pounds, 106.5 pounds).
102.3 pounds = 102.3/2.2 = 46.5 kilograms
106.5 pounds = 106.5/2.2 = 48.41 kilograms
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).
A spyware is trying to break into a system by guessing its password. It does not give up until it tries 1 million different passwords. What is the probability that it will guess the password and break in if by rules, the password must consist of
Answer:
[tex]Probability = 0.006033[/tex]
Step-by-step explanation:
Given
[tex]Tries = 1000000[/tex]
Required
Determine the probability of 6 different lower case letters (Question continuation)
There are 26 lower case letters.
The first can be any of letters 26
The second can be any of letters 26 - 1
The third can be any of letters 26 - 2
The fourth can be any of letters 26 - 3
The fifth can be any of letters 26 - 4
The sixth can be any of letters 26 - 5
Number of selection is:
[tex]Selection = 26 * (26 - 1) * (26 - 2) * (26 - 3) * (26 - 4) * (26 - 5)[/tex]
[tex]Selection = 26 * 25 * 24 * 23 * 22 * 21[/tex]
[tex]Selection = 165765600[/tex]
The probability is:
[tex]Probability = \frac{Tries}{Selection}[/tex]
[tex]Probability = \frac{1000000}{165765600}[/tex]
[tex]Probability = 0.00603261472[/tex]
[tex]Probability = 0.006033[/tex] --- approximated
ACTIVITY 1
Directions: Find the unknown principal P, rate r, time t, and simple
interest Is by completing the table. Use separate sheet/s of paper for your
answer.
Principal (P)
Rate (T)
Time (t)
8%
15
2%
5
Simple Interest
(Is)
(1)
10,000
3,600
175,500
10,000
(2)
360,000
500,000
2
(3)
10.5%
Activity 2
Directions: Find the unknown principal P, maturity value, and
compound interest Ic by completing the table. Use separate sheet/s of paper
for your answer.
Maturity Value
Principal (P) Rate(r) Time(t)
Compound
Interest (Ic)
(1)
10,000
(3)
8%
2%
15
5
(2)
50,000
Answer:
500,000
2
(3)
10.5%
Activity 2
Directions: Find the unknown principal P, maturity
dentify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answer:
Step-by-step explanation:
The difference is 130-150 = -20, a decrease.
-20/150 ≅ -0.133, a decrease of 13.3%
Leslie’s employer will match up to 3% of her salary in contributions to her 401(k). Her monthly salary is $3,200, and the company allows her to make contributions to a maximum of 10% of her salary. What is the maximum monthly deposit to Leslie’s 401(k), including her employer’s matching contribution?
Answer:
$416.00
Step-by-step explanation:
Leslie's 10% and her employer's 3% total 13% of her salary:
0.13 · $3200 = $416
The maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
What is a matching contribution?A matching contribution is a type of contribution that Leslie's employer decides to contribute to Leslie's 401(k) plan, which is an employer-sponsored retirement plan.
Data and Calculations:Monthly salary = $3,200
Leslie's maximum contribution = 10% of salary
Employer's matching contribution = 3% of salary
Total contributions to the 401(k) plan = 13% of salary
= $416 ($3,200 x 13%)
Thus, the maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
Learn more about matching contributions at https://brainly.com/question/16338999
#SPJ2
liters = 5,000 milliliters
Answer:
5 liters
Step-by-step explanation:
1,000 milliliters= 1 liter.
5,000/1,000 is 5 liters
Answer:
5 liters
Step-by-step explanation:
but not sure about answer
workout the highest common factor of 63 and 105
Answer: Detailed Answer:
The Greatest Common Factor (GCF) for 63 and 105, notation CGF(63,105), is 21. Explanation: The factors of 63are 1,3,7,9,21,63; The factors of 105are 1,3,5,7,15,21,35,105.
Step-by-step explanation:
Hope it helps!!!!!Find the product of (1)(3)(x).
Your
answer
Answer:
2/5.
Step-by-step explanation:Start with fractions for which you need to find the product. In this example, we will multiply the fractions 4/6 and 3/5.
Simplify the fractions to the lowest terms. A fraction needs to be simplified if the same number can divide both the numerator and denominator of a fraction. So 4/6 would become 2/3 and you would multiply by 3/5.
Multiply the numerators. Multiply the top number in one fraction by the top number in the other fraction. In this case 2 x 3 = 6.
Multiply the denominators. Multiply the bottom number of one fraction by the bottom number in the other fraction. In this case 3 x 5 = 15
Simplify the product again if necessary. Your product of 6/15 can be converted into 2/5 by dividing both the numerator and denominator by 3. So the product of 4/6 and 3/5
Which ordered pair satisfies the system of equations below?
Answer:
(2.5,-0.5)
Step-by-step explanation:
3x-y=8
x+y=2
4x=10
x=2.5
x+y=2
2.5+y=2
y=-0.5
ANS: (2.5,-0.5)
You bought a two liter container of cooking oil for $2.50. What is the cost per liter?
Answer:
$1.25
Step-by-step explanation:
$2.50 / 2 = $1.25 per liter
Answer:
$1.25
Step-by-step explanation:
.25 + .25= .50
$1.00 + $1.00 = $2.00
$2.00 + .50 = $2.50
Write 34% as a fraction or mixed number in simplest form
17/50 = 34% Hope this helped
What is the solution to (4/2)4 + (1 + 3)?
A line that includes the points (-9,-5) and (-10, j) has a slope of -10. What is the value of J
Answer:
j = -15
Step-by-step explanation:
Given that,
A line that includes the points (-9,-5) and (-10, j) has a slope of -10.
The slope of a line for which two points are given is :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\-10=\dfrac{j-(-5)}{-10-(-9)}\\\\10=\dfrac{j+5}{-10+9}\\\\10=\dfrac{j+5}{-1}\\\\-10=j+5\\\\j=-10-5\\\\j=-15[/tex]
So, the value of j is equal to -15.
Write the number 5,187,000,700 in words.
A ccompany offers free shipping on orders that weigh less than 3,000 grams. How much is this in kilograms. Be sure to include the correct unit in your answer.
Answer:
The answer is 5 Kilos.
Step-by-step explanation:
There are 1000 grams in 1 Kilo, thus 1000g= 1k, so 5000g=5k.
Answer:
its 3kg
Step-by-step explanation:
What is the 10th term in -9,-6,-1,6,15
Answer:
90
Step-by-step explanation:
This is an increasing sequence, with -9 as its first term. The first increase is +3, then +5, +7, and +9. The differences increase by 2 each time. The sixth term will be 15 + 11, and the seventh would be 15 + 11 + 13. We can follow this pattern to get to the tenth term. 15 + 11 + 13 + 15 + 17 + 19 = 90
Let N* be the total number of ranchers in Uruguay, and N(t) be the number of ranchers who have adopted an improved pasture technology there. Assume that the rate of adoption, , is proportional to both the number who have adopted the technology and the fraction of the ranchers who have not (and so are susceptible to conversion). Let a be the proportionality constant.
a. Write down the differential equation modeling N(t).
b. According to Banks (1993), N* = 17000, N(0) = 170, a = 0.5 per year.
Determine how long it takes for the improved pasture technology to spread to 80% of the population of the ranchers.
Answer:
A) dN / dt = aN( N* - N ) /N*
B) 12 years
Step-by-step explanation:
attached below is a detailed description of the solution
A) Write down the differential equation modelling N(t)
The differential equation of the modelling = dN / dt = aN( N* - N ) /N*
B) Determine how long it takes for improved pasture technology to spread to 80% of the population of the ranchers
firstly we will resolve the ODE and apply partial fractions, integrate and exponentiate before inputting the given data. attached below is a detailed solution
Plz helpppp I will give the brainliest help me plz
Answer:
36
Step-by-step explanation:
Let the original quantity of marbles of the bag be y.
[tex]\frac{2}{3} (\frac{1}{2} )y=12[/tex]
y=36
Circle O has a center at (-2, -2) and a diameter of 10 units. Which point lies on circle O ?
Answer:
Step-by-step explanation:
Many points lie circle O
The points with a distance of 10 units will be on the circle
eg. (8,-2) or (4,6) both lie on the circle as they have a distance of 10 units from the center.
121/2% in to a fraction
9514 1404 393
Answer:
1/8
Step-by-step explanation:
You can replace % with /100 to make it a fraction.
12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8
__
Or, you can reduce the decimal fraction.
12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8
