The linear function that has greatest initial value is function C
The linear function that has greatest rate of change is function B
Consider the function A
The y intercept = 0
Consider two points (2, 5) and (4, 10)
The slope of the line = (10-5) / 4-2
= 5 /2
The equation will be
y = 5/2x + 0
Consider the function B
y = 3x - 1
Which is in the form of slope intercept form
The slope of the line = 3
The y intercept = -1
Consider the function C
y intercept = 2
Consider the points (0, 2) and (3, 3)
The slope of the function = 3-2 / 3 -0
= 1/3
The equation is
y = 1/3x + 2
Therefore, function C has greatest initial value and function B has greatest rate of change
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An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point
Answer:
To find the z-score, we use the formula:
z = (x - mu) / (sigma / sqrt(n))
where:
x = sample mean = $5100
mu = population mean = $5000
sigma = population standard deviation = $250
n = sample size = 64
Substituting the values, we get:
z = (5100 - 5000) / (250 / sqrt(64))
z = 2.56
Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).
Step-by-step explanation:
I clicked on the black picture. thought is was the box to enter the answer.
JoAnn is making jewelry. Set an expression that shows how much it will cost Joanne for the long length chain bracelet and for b beads that cost $0.30 each. Then find the total cost of the jewelry lol JoAnn uses 34 beads
Answer:
$0.30 x b
$10.20
Step-by-step explanation:
The equation is
$0.30 x b
Since we know JoAnn uses 34 beads, we can replace b with 34
$0.30 x 34 = $10.20
LaTeX: 6x-7=-1696 x − 7 = − 169
x = ?
6x-7= -1696
6x= -1689
x= -281.5
x − 7 = − 169
x= -162
There are 15 students in my first period class. If 6 of the students in the class are boys, what percent of the students are boys?
A. 60%
B. 25%
C. 40%
D. 30%
Answer:
C
Step-by-step explanation:
If you were to multiply 15 by 40% it would equal 6.
No. of students in 1st class= 15
No. of boys = 6
Percentage of boys = 6/15 ×100
= 2/3×100
= 40%
If this answer helps you plz mark as brainlist..TQ..What is the volume of a square pyramid with base edges of 18 cm and a slant height of 15 cm?
Answer:
the volume of the square pyramid is 2430 cubic cm
Answer:
1296 cm³
Step-by-step explanation:
V = a² x [√s²- (a/2)²] / 3
a = 18 cm
s = 15 cm
V = 18² x [√15²-(18/2)²] / 3 = 18² x [√225-81] / 3
V = 324 x (√144/3) = 1296 cm³
If x=3.536, determine the absolute error and relative error when
(a) x is rounded
(b) x is truncated to two decimal digits.
Would appreciate a lot if you marked this answer as Brainliest!
Answer:
a. 13.12%.
b. 15.16%.
Step-by-step explanation:
a. \(\frac{expected value-calculated value}{expected value} =\frac{|3.536-4|}{3.536} =0.1312\)
b. \(\frac{|3.536-3|}{3.536} =0.1516\)
Answer:
a. (4-3.536)/3.536= 0.13
b. (3.536-3)/3.536= 0.15
Circle Project 1. Draw a point at (1, -2) 2. Draw an 8-unit long radius 3. Using a compass, Draw a circle with your point from step one as your center and the point from step two as the side. 4. Using a protractor, draw a 70 degree arc 5. Draw a central angle which intercepts your arc 6. Draw an inscribed angle which intercepts a 40 degree arc 7. Draw a tangent line 8. Draw a secant line 9. Write the equation of your circle.
Answer:
I can explain how to complete each of the steps you have provided.
1. Draw a point at (1, -2)
This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).
2.
Draw an 8-unit long radius
Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.
3. Using a compass
Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.
4. Using a protractor draw a 70 degree arc
Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.
5. Draw a central angle which intercepts your arc
Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.
6. Draw an inscribed angle which intercepts a 40 degree arc
Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.
7. Draw a tangent line
Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.
8. Draw a secant line
Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.
9. Equation of your circle
The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.
For the statement, find the constant of variation and the variation equation.
y varies directly as the cube of x; y = 4 when x = 2
Answer:
see explanation
Step-by-step explanation:
given y varies directly as x³ then the equation relating them is
y = kx³ ← k is the constant of variation
to find k use the condition y = 4 when x = 2 , then
4 = k × 2³ = 8k ( divide both sides by 8 )
\(\frac{4}{8}\) = k , that is
k = \(\frac{1}{2}\)
y = \(\frac{1}{2}\) x³ ← equation of variation
Find the sum of -3a + 2 and 5a - 3
Answer
-1(3a-2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-3a + 2 ) + ( 5a - 3)
= -3a + 5a + 2- 3
= 2a + ( -1)
= 2a-1
what is 47 times 57= I need an answer fast!!!!!!
please help me please pleasr please
Answer:
which one's anwer you want
2. length= 65 ft width=24 m area=135 in2
use the point-slope form to find the ewuation of the line through the points (-5,2) and (-2,6)
Answer:
The equation of the line through the points (-5, 2) and (-2, 6) is \(y = \frac{4}{3}\cdot x +\frac{26}{3}\).
Step-by-step explanation:
The point-slope form of the equation of the line is defined by this formula:
\(y-y_{1} = m\cdot (x-x_{1})\) (1)
Where:
\(x\) - Independent variable.
\(y\) - Dependent variable.
\(m\) - Slope.
\(x_{1}\), \(y_{1}\) - Coordinates of the first point.
In addition, the slope of the line can be determined in terms of two distinct points:
\(m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) (2)
Where \(x_{2}\), \(y_{2}\) are the coordinates of the second point.
If we know that \(x_{1} = -5\), \(y_{1} = 2\), \(x_{2} = -2\) and \(y_{2} = 6\), then the equation of the line is:
\(m = \frac{6-2}{-2-(-5)}\)
\(m = \frac{4}{3}\)
\(y-2 = \frac{4}{3}\cdot (x+5)\)
\(y = \frac{4}{3}\cdot x +\frac{26}{3}\)
The equation of the line through the points (-5, 2) and (-2, 6) is \(y = \frac{4}{3}\cdot x +\frac{26}{3}\).
Andrew writes the name of a month on a piece of paper and turns it over. Siobhan then guesses what month Andrew wrote down. To find the probability that Siobhan guesses the correct month, Andrew needs to know the total number of possible outcomes
There are 12 possible outcomes (12 months). This means the chance Siobhan guesses the month Andrew wrote down is 1/12 or 8.333%
use pascal's triangle to expand the following binomial expression
1.(2k-1/3)⁶
9514 1404 393
Answer:
64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
Step-by-step explanation:
The row of Pascal's triangle we need for a 6th power expansion is ...
1, 6, 15, 20, 15, 6, 1
These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.
Your expansion is ...
1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...
15(2k)^2(-1/3)^4 +6(2k)^1(-1/3)^5 +1(2k)^0(-1/3)^6
= 64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
Steve says to find the difference in temperature between 7 AM and
12 PM Wednesday, he can use a number line. He says because one
temperature is negative and the other is positive, he can add together their
distances from 0.
Kelly says that she can find the change by subtracting -5.1 from the temperature
at 12 PM on Wednesday.
Who is correct? Use the drop-down menus to explain your reasoning and find the
change in temperature.
and the distance from 0 to the Wednesday 12 PM temperature is 2.5
Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.
By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.
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I WILL GIVE BRAINLIEST
Rewrite 12x + 3y = 6 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Answer:
12x + 3y = 6 in slope-intercept form.y = -4x+2m = -4b =(0,2)A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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A jar of sweet contains 5 yellow sweets, 4 red sweets, 8 green sweets, 4 orange sweets and 3 white sweets. Ola chose a sweet at random, what is the possibility that she will pick either a yellow or orange sweet?
Answer:
9/24 or 37.5%
hope this helps :)
Hi,
first thing you must do with a probability problem is to count how many thing you have in your universe.
Here we are dealing with sweets. So let's count : 5 +4+8+4+3 = 24
and there is 5 yellow so probability to pick up a yellow is 5/24
and there is 4 orange so probabilitu to pick up a orange is 4/24
To say : Ola will pick orange or yellow mean if she pick either one of the two sort is good. So you add the proba of each : 5/24 +4/24 = 9/24
and then you must reduce if you can : 9/24 = 3*3 /8*3 = 3/8
So the probability that Ola pick a yellow or orange sweet is 3/8 = 0.375
Division model 605÷18
Answer:33.6
Step-by-step explanation: Well i just divided
Answer:
=33.6
explanation : just devide it
1. Write two expressions for the area of the big rectangle. 8y х 12 글 2. Use the distributive property to write an expression that is equivalent to (8y +-$+-12). The boxes can help you organize your work. sy -X -12 2 3. Use the distributive property to write an expression that is equivalent to (8y I 12). TEE
Answer:It doesn't make sense
Step-by-step explanation:
how many solutions doss the equation 4x+2(x-5)=3(2x-4)
Answer:
x=5+1/2
Step-by-step explanation:
4x-2(x-5)=3(2x-4)
We move all terms to the left:
4x-2(x-5)-(3(2x-4))=0
We multiply parentheses
4x-2x-(3(2x-4))+10=0
We calculate terms in parentheses: -(3(2x-4)), so:
3(2x-4)
We multiply parentheses
6x-12
Back to the equation:
-(6x-12)
We add all the numbers together, and all the variables
2x-(6x-12)+10=0
We get rid of parentheses
2x-6x+12+10=0
We add all the numbers together, and all the variables
-4x+22=0
We move all terms containing x to the left, all other terms to the right
-4x=-22
x=-22/-4
x=5+1/2
Alondra is asked about her age. She answers as follows. "My age is 6 more than four times the age of my son." How old is her son if Alondra is 46 years old?
Answer:
10 years old
Step-by-step explanation:
lets break it down:
6 more means +6
four times means *4
so if her son is x years old, she is 4x+6
since we know she's 46, we know that 4x+6=46
now we just solve the equation
4x+6=46
-6 on both sides
4x=40
/4 on both sides
x=10
The ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6. Terrence owns 36 models cars. How many model cars does Jim own?
The number of Jim's model car is 48
How to determine the number of JIm's carFrom the question, we have the following parameters that can be used in our computation:
Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6
This means that
Jim : Terrence = 8 : 6
Also from the question, we have
Terrence owns 36 models cars
This means that
Terrence = 36
Substitute the known values in the above equation, so, we have the following representation
Jim : 36 = 8 : 6
Multiply by 6
Jim : 36 = 48 : 36
So, we have
Jim = 48
Hence, the number of car is 48
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What is the area of the figure?
128 in2
118 in2
108 in2
48 in2
Answer:
108 in2
Step-by-step explanation:
The NY Jets won 45% of its games. If the team won 9 games how
many games did they lose?
a) 45
B) 20
c) 5
d) 11
Answer:
D
Step-by-step explanation:
total games 9/20x=9
x=20
so bubtarcting 9 from 20 we get 11 games which is D
if my answer helps please mark as brainliest.
The highest mountain in the world is Mt. Everest, whose peak is 29,029 feet above sea level. But the tallest mountain is Mauna Kea. The base of Mauna Kea is 19,669 feet below sea level, and its peak is 33,465 feet above its base. How much higher above sea level is Mt. Everest than Mauna Kea?
42825 or 9360
Step-by-step explanation:
So we know that Mt. Everest has a peak that is 29,029 feet above sea level.
To find how much Mauna Kea is above sea level then we would subtract the feet below sea level (19,669ft) from the overall height of the mountain (33,465ft). Like this:
33,465ft - 19669ft = 13,796 feet
Now that we know both mountains height above sea level, we can answer the question.
We will take Everest's height above sea level and subtract Mauna's height above sea level. Like this:
29,029ft - 13,796ft = 15,233
Therefore, Mt. Everest is 15,233 feet taller above sea level than Mauna Kea.
Hope this helps!
- Kay
27,9,3,1,1/3,1/9....Write the sigma notation for the infinite series. ________________
Given
Series,
\(27,9,3,1,\frac{1}{3},\frac{1}{9},...\)Find
Write the sigma notation for the infinite series.
Explanation
as we see the given series is a geometric series .
here , a = 27
common ratio , r = 9/27 = 1/3
so ,
\(\begin{gathered} \sum_{n\mathop{=}1}^{\infty}ar^{n-1} \\ \\ \sum_{n\mathop{=}1}^{\infty}(27)(\frac{1}{3})^{n-1} \\ \\ \sum_{n\mathop{=}1}^{\infty}(\frac{1}{3})^{-3}(\frac{1}{3})^{n-1} \\ \\ \sum_{n\mathop{=}1}^{\infty}(\frac{1}{3})^{n-4} \end{gathered}\)Final Answer
Hence , the sigma notation for the infinite series is
\(\sum_{n\mathop{=}1}^{\infty}(\frac{1}{3})^{n-4}\)Place these numbers in order from small to big. 35% , 36/100, 4/25, 0.85, 2.6, 0.1
Answer:
0.1, 4/25, 35%, 36/100, 0.85, 2.6
Step-by-step explanation:
A crew has paved 3/4 of a mile of road . If they have completed 50% of the work how long is the road they are paving?
Answer:
1 1/2 hope this helped
Number 5 please I beg.
Answer:
X = 25
Step-by-step explanation: