Answer:
[tex]k=\frac{4}{7}[/tex]
Step-by-step explanation:
The equation [tex]y=kx[/tex] represents a proportional relationship that always passes through the origin. Excluding of the origin, you can plug any [tex](x,y)[/tex] coordinate into this function to get [tex]k[/tex].
Using the first coordinate, we have:
[tex]4=k(7),\\k=\frac{4}{7}[/tex]
Verify that [tex]y=kx[/tex] works for the other coordinates [tex]\checkmark[/tex]
Thus, the value of constant [tex]k[/tex] is [tex]\fbox{$\frac{4}{7}$}[/tex].
Help plz:)))I’ll mark u Brainliest
Answer:
The answer to the question provided is letter D.
Write the equation of the line in slope-intercept form (y = mx +b): 3y - 12x = 15
Answer:
y = 4x + 5
Step-by-step explanation:
3y - 12x = 15
Add 12x to both sides.
3y = 12x + 15
Divide by 3 to isolate y.
y = 4x + 5
Answer:
ACTUALLY IT'S, y=4x-5
Step-by-step explanation:
12x-3y=15 - Get y alone
-12x =12x
-3y=-12x+15
-3y=-12x+15 - Divide.
__________
-3 -3
y=12/3x-15/3 - Distribute division. Negative over a negative is positive. Positive over a negative is a negative.
y=4x-5 - Reduce fractions.
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49
seconds and a standard deviation of 7.1 seconds. The time to board the Spiral Wonder roller coaster is skewed left
with a mean of 44.8 seconds and a standard deviation of 3.7 seconds. What is the probability in a random sample of
32 times loading Twisting Thunder and 36 times loading Spiral Wonder that the mean time for Twisting Thunder is
less than that of Spiral Wonder?
Answer:
0.1416
Step-by-step explanation:
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder is 0.9574.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49 seconds and a standard deviation of 7.1 seconds.
The probability in a random sample of 32 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{32 - 49}{7.1}\\\\z = -2.394[/tex]
P-value from Z-Table:
P(x<32) =
The time to board the Spiral Wonder roller coaster is skewed left with a mean of 44.8 seconds and a standard deviation of 3.7 seconds.
The probability in a random sample of 36 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{36- 44.8}{3.7}\\\\z = -2.37838[/tex]
P-value from Z-Table:
P(x<36) = 0.0086945
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder will be
[tex]\rm \dfrac{P(x < 32)}{P(x < 36)} = \dfrac{0.0083246}{0.0086945} = 0.9574[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
If 2x+y=10 and y=3x find the value of both x and y
You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.
What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.
$30 per pound
$0.14 per pound
$7 per pound
$14 per pound
Answer:
$7 a pound
Step-by-step explanation
$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7
Consider the following heights 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85. Use R script to finish the following questions
(1) Assign all these heights as vector "height".
(2) Compute the mean and sd of "height".
(3) What is the length of "height"?
(4) How many heights are less than 1.65?
(5) Show if each height is larger than 1.60 and smaller than 1.75.
Answer:
1.718333
0.114957
12
1 3 5 7
Step-by-step explanation:
Given the following height values :
Height values : 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85
1.) Assign all height values to a vector height :
R code:
height - - -> c(1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85)
2.) To compute the mean and standard deviation of "height"
R code for mean height:
mean(height)
R code for height standard deviation :
sd(height)
3.) The length of "height" ; This gives the number of data values in the vector variable "height"
R_code for length:
length(height)
4.) Number of heights less than 1.65
R_code :
which(height < 1.65)
Gives the index values where height values is less than 1.65
5.) Show if each height is larger than 1.6 and less Than 1.75
R_code :
1.6 < height < 1.75
which fraction is equivalent to -3/2
3/-2
-(-3/2)
-(3/-2)
-3/-2
Answer:
A
Step-by-step explanation:
PLS PUT THE CORRECT ANSWER AND SHOW HOW YOU DID IT PLS :(
5-7(9b-3d). D=3 b=9
Answer:
Subsitute (nothing hard)
5-7(9*9-3*3)
Combine
5-7(72)
Distibute left to right
-7*72= -504
5-504
-499
can anyone help me pls
Answer:
405 calories
Step-by-step explanation:
All we have to do is:
9 × 45
I hope this helps!
If a song is 4 minutes and 2 seconds long and I play it 115 times how long is that in hours?
Explain Please
The song: Drivers License
Songwriter/ singer: Olivia Rodrigo
Answer:
12 hours and 50 minutes
Step-by-step explanation:
You take the 4:02 and divide it by 60 (60 seconds are in a minute) and then you take the answer you got and multiply by 115 and you get 11.80 so you take the 80 and round it to 12 and then you have 50 left over so its 12 hrs and 50 mins
Answer:
7 hours, 40 min
Step-by-step explanation:
4 minutes is 1/15 of an hour
115 x 1/15 = 7 2/3
Solve each inequality below and illustrate the solution on a number line.
(a)
4.Y + 6 < 18
(b)
Sx - 8 > 27
(c)
6.x + 7 < 37
2.2 - 6
(d)
5x – 7 > -17
(e)
<1
4(2x - 3) > -8
just tell the answer no need f0r working
17 is the answer
h0pe this helped :>
The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 15.1% (i.e., an average gain of 15.1%) with a standard deviation of 35%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (Round your answers to two decimal places.)
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?
Answer:
a) the required percentage is 32.64%
b) the cutoff for the highest 15% of annual returns with this portfolio is 49.02%
Step-by-step explanation:
Given that;
mean μ = 14.7 %
standard deviation σ =33%
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
P( portfolio lose money )
= P( x< 0) P( 0-14.7 / 33 )
P( Z < -0.45 ) = 0.3264 ≈ 32.64%
Therefore, the required percentage is 32.64%
b)
the cutoff for the highest 15% of annual returns with this portfolio will be:
P( X ≥ x) = 15%
1 - P(X ≤ x) = 0.15
P(X ≤ x) = 0.85
P(Z ≤ x-14.7 / 33 ) = 0.85 ----------let this be equation 1
form tables, P(Z ≤ 1.04) = 0.85 -----LET THIS BE EQU 2
from the equations;
(x-14.7 / 13 ) = 1.04
33 × 1.04 = x-14.7
34.32 = x-14.7
x = 34.32 + 14.7
x = 49.02%
Therefore, the cutoff for the highest 15% of annual returns with this portfolio is 49.02%
Solve the system by substitution.
y = -5x + 40
Y = 32
Submit Answer
Answer:
The answer is (-8/5,32) in point form or x=-8/5,y=32
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
The test scores of students in a math class are 56, 42, 50, 63, 58, 41, 50, 48, 68, and 48. What is the mean of this set of data?
A. 55.6
B. 50
C. 52.4
D. 48.6
Answer:
C. 52.4
Step-by-step explanation:
Will mark brainliest!!!Using sin in math solve the one circled in green
Answer:
x ≈ 32.3
Step-by-step explanation:
Using the sine ratio in the right triangle
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )
x × sin48° = 24 ( divide both sides by sin48° )
x = [tex]\frac{24}{sin48}[/tex] ≈ 32.3 ( to 1 dec. place )
How many 1/2cups are in 7/8cups
Answer:
Step-by-step explanation:
7/8) / (1/2) .when dividing fractions, flip what u r dividing by, then multiply
7/8 * 2 = 14/8 = 1 3/4 <==
Help please I will Brainly
Answer:
6 cm² is correct answer
because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.
You know from class that 23 people can comfortably fit standing in 32 square feet. You attend an outdoor concert that has a standing area for observers that is 450 feet by 650 feet. How many people can comfortable stand in this observation area?
A) 2,102 people
B) 21,027 people
C) 210,234 people
D) 2,102,340 people
Answer:
C
Step-by-step explanation:
To do this first find how many square feet are in the area. You can do this by multiplying 450 * 650 = 292500.
Next, divide by 32 to find how many sections of 23 people there are.
292500 / 32 = 9140.625
Lastly, multiply by 23 to find how many people can stand in the area.
9140.625 * 23 = 210,234.375 which rounds to C. 210,234 people
The lock is numbered from 0 to 49. Each combination uses three numbers in a right, left, right pattern. Find the total number of possible combinations for the lock.
Answer:
147
Step-by-step explanation:
Express x^2 + 4x - 7 in the form (x + a)^3 - b where a and b are integers
Answer:
(x+2)² - 11
Step-by-step explanation:
Regroup terms
x² + 4x - 7
(x² + 4x) - 7
Complete the square
coefficient of x term: 4
divide coefficient in half: 2
square it: 2²
use 2² to complete the square:
(x² + 4x) - 7 = (x² + 4x + 2²) - 2² - 7 = (x+2)² - 11
Graph the following inequality and then select the correct graph below.
x+y<1
Answer:
The inequality x+y<1 should look like the graph attached.
It should be a dashed line, not a solid line.
Answer:
The second one you click to switch it
Step-by-step explanation:
Just did the quiz just going by every question and giving answers
multiply 8 by g, then divide 7 by the result
Do not simplify any part of the expression. HELP A GIRL OUT PLEASE
Answer:
8*g = 8g
then,
7/8g
Elaine can travel 63 meters in 3 second what is Elaine rate of speed?
Answer:
75,600 m/h (21 m/s, 0.02 km/h)
Step-by-step explanation:
Hey there!
The answer to your question is [tex]21 mps[/tex]
To find the rate of speed, we have to find the meters per second, or mps. The formula for this is [tex]\frac{distance}{time} = speed[/tex]. So:
[tex]\frac{63}{3} = s[/tex]
[tex]21 = s[/tex]
This means that the speed is 21 meters per second, or 21 mps.
Hope it helps and have an amazing day!
What is the x-intercept of the linear function y = 1/3x +1
Answer:
the x intercept is -3
or (-3,0)
Step-by-step explanation:
the x intercept is the point where the line crosses the x axis. The y value is zero, while x is a number.
Therefore, we can make y equal 0 in the function y=1/3x+1, since the point will pass through the line.
0=1/3x+1
subtract 1 from both sides
-1=1/3x
multiply by 3
-3=x
Therefore the x intercept is -3.
As a point is (-3,0)
hope this helps!
What is the slope of the line whose equation is
2y = 5x + 4?
1) 5 2) 2 3) 5/2 4) 2/5
Answer:
3) 5/2
Step-by-step explanation:
2y = 5x + 4
y = 5/2x + 2
slope = 5/2
(y = mx + b, m being slope, b being y intercept)
what is the value of x in √x^3-1
9514 1404 393
Answer:
x ≥ 1
Step-by-step explanation:
The argument of the square root cannot be negative, so the expression is only defined for ...
x³ -1 ≥ 0
x³ ≥ 1 . . . . . add 1
x ≥ ∛1 . . . . cube root
x ≥ 1 . . . . the domain of the expression
_____
As you can see, the graph only exists for x ≥ 1.
1/5,0,-1/5,what two answers comes next?
Write the equation of a line with a slope of O through the point (3, -1).
y = 3x - 1
y = -1
x=3
x = -1
Answer:
x=3
please mark as brainliest
plz help will make brainliest!!!!!
(by the way, if the pic is blurry, the equation you would solve is: 10x = 2x + 60)
Answer:
x = 7.5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 2x from both sides of the equation:
10x (-2x) = 2x (-2x) + 60
10x - 2x = 60
8x = 60
Next, isolate the variable, x. Divide 8 from both sides of the equation:
(8x)/8 = (60)/8
x = 60/8
x = 7.5
x = 7.5 is your answer.
~
Graph the opposite of the opposite of 10 on the number line. Click on the number line to
identify the number's location.
Answer:
the opposite of 10 is -10 that's the best i could do for ya my bad hope this still helps.
Step-by-step explanation:
Answer:-10
Step-by-step explanation: