Answer:
k = -5
Step-by-step explanation:
Direct variation formula:
y = kx
Given:
x = 2
y = -10
Work:
y = kx
-10 = 2k
k = (-10)/2
k = -5
Please help I'll mark you as brainiest
Answer: A is the answer good luck :)
Can someone explain how to do this
Answer:
28 x 6
Step-by-step explanation:
You times 28 with 6 snice, there are 6 sides.
28 x 6 = 168 meters
Answer: 168 meters
An environment engineer measures the amount ( by weight) of particulate pollution in air samples ( of a certain volume ) collected over the smokestack of a coal-operated power plant. Let X1 denote the amount of pollutant per sample when a certain cleaning device on the stack is not operating, and let X2 denote the amount of pollutant per sample when the cleaning device is operating under similar environmental conditions. It is observed that X1 is always greater than 2X2, and the relative frequency behavior of (X1, X2) can be modeled by
f(x,y)= k for 0 <= x <= 2, 0<=y <=1 , 2y<= x and 0 elsewhere
(X and Y are randomly distriibutied over the region inside the tricanle bounded by x=2, y=0 and 2y=x)
a. Find the value of k that makes this a probability desnsity function.
b. Find P >= 3y
Answer:
[tex]k = 1[/tex]
[tex]P(x > 3y) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]f \left(x,y \right) = \left{ \begin{array} { l l } { k , } & { 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x } & { \text 0, { elsewhere. } } \end{array} \right.[/tex]
Solving (a):
Find k
To solve for k, we use the definition of joint probability function:
[tex]\int\limits^a_b \int\limits^a_b {f(x,y)} \, = 1[/tex]
Where
[tex]{ 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x }[/tex]
Substitute values for the interval of x and y respectively
So, we have:
[tex]\int\limits^2_{0} \int\limits^{x/2}_{0} {k\ dy\ dx} \, = 1[/tex]
Isolate k
[tex]k \int\limits^2_{0} \int\limits^{x/2}_{0} {dy\ dx} \, = 1[/tex]
Integrate y, leave x:
[tex]k \int\limits^2_{0} y {dx} \, [0,x/2]= 1[/tex]
Substitute 0 and x/2 for y
[tex]k \int\limits^2_{0} (x/2 - 0) {dx} \,= 1[/tex]
[tex]k \int\limits^2_{0} \frac{x}{2} {dx} \,= 1[/tex]
Integrate x
[tex]k * \frac{x^2}{2*2} [0,2]= 1[/tex]
[tex]k * \frac{x^2}{4} [0,2]= 1[/tex]
Substitute 0 and 2 for x
[tex]k *[ \frac{2^2}{4} - \frac{0^2}{4} ]= 1[/tex]
[tex]k *[ \frac{4}{4} - \frac{0}{4} ]= 1[/tex]
[tex]k *[ 1-0 ]= 1[/tex]
[tex]k *[ 1]= 1[/tex]
[tex]k = 1[/tex]
Solving (b): [tex]P(x > 3y)[/tex]
We have:
[tex]f(x,y) = k[/tex]
Where [tex]k = 1[/tex]
[tex]f(x,y) = 1[/tex]
To find [tex]P(x > 3y)[/tex], we use:
[tex]\int\limits^a_b \int\limits^a_b {f(x,y)}[/tex]
So, we have:
[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {f(x,y)} dxdy[/tex]
[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {1} dxdy[/tex]
[tex]P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 dxdy[/tex]
Integrate x leave y
[tex]P(x > 3y) = \int\limits^2_0 x [0,y/3]dy[/tex]
Substitute 0 and y/3 for x
[tex]P(x > 3y) = \int\limits^2_0 [y/3 - 0]dy[/tex]
[tex]P(x > 3y) = \int\limits^2_0 y/3\ dy[/tex]
Integrate
[tex]P(x > 3y) = \frac{y^2}{2*3} [0,2][/tex]
[tex]P(x > 3y) = \frac{y^2}{6} [0,2]\\[/tex]
Substitute 0 and 2 for y
[tex]P(x > 3y) = \frac{2^2}{6} -\frac{0^2}{6}[/tex]
[tex]P(x > 3y) = \frac{4}{6} -\frac{0}{6}[/tex]
[tex]P(x > 3y) = \frac{4}{6}[/tex]
[tex]P(x > 3y) = \frac{2}{3}[/tex]
Help answer helpppp ASAP this TIMED.
I will mark brainliest ´
Please answer question 3
Answer:
57/8 or 7 1/8
Step-by-step explanation:
I think that you would find how many times it fits in the graph which I found it fit three times so you would multiply th e length by three.
If you have 440 red and blue buttons predict how many would be red.
Answer:
maybe 220/440?
Step-by-step explanation:
Answer mark me branlyist
Step-by-step explanation:
2(v + 1). Simplify the expression
Answer:
2v+2
Step-by-step explanation:
I need help plz (will give brainlyist)
Answer:
x=5/2 ft
Step-by-step explanation:
∵V=lbh
⇒15/16= 3/4×1/2×x
⇒(15/16)÷(3/8)=x
∴x=5/2 ft
Question 1 (10 points)
A jar lid has a diameter of 32
millimeters. What is the
circumference of the lid to the
nearest tenth?
Blank 1:
Step-by-step explanation:
C=2πR=πD=3.14*32=100.5 mm
A researcher is investigating the relationship between the length, in centimeters, and weight, in grams, of pineapples. The researcher will select a random sample of 15 pineapples from grocery stores in a region and construct a 95% confidence interval for the slope of the population regression line, where length is the explanatory variable and weight is the response variable. When computing a confidence interval for the slope of the population regression line, which of the following is not a condition that must be checked?
A. The true relationship between length and weight is linear.
B. The standard deviation for weight does not vary with length.
C. The values of weight are approximately normally distributed at each value of length.
D. The sum of the residuals is zero.
E. The observations are independent.
Answer:
D. The sum of the residuals is zero.
Step-by-step explanation:
The relation between length and weight of pineapples is observed. The observation should be independent and the values must be normally distributed in order to find the confidence interval for slope of population regression line.
find the gradient of the line
with the equation 3x+4y=10
Determine if the sequence An is convergent. If the sequence is convergent, state its limit. If the series diverges, mark the sequence as either Divergent or Divergent because the sequence is unbounded (or -) S13 18 23 28 33 8 5n An 5 8 11 14 17 2 3n Convergent sequence whose limit is O Divergent O Divergent because the sequence is unbounded (or - 00)
Answer:
The answer is "[tex]\frac{5}{3}[/tex]"
Step-by-step explanation:
[tex]A_n={\frac{13}{5},\frac{18}{8},\frac{23}{11},\frac{28}{14},\frac{33}{17},..................\frac{8+5n}{2+3n}}\\\\[/tex]
[tex]\to A_n=\frac{8+5n}{2+3n}\\\\\to \lim_{n \to \infty} A_n = \lim_{n \to \infty} \ \frac{8+5n}{2+3n}= \lim_{n \to \infty} \ \frac{\frac{8}{n}+5}{\frac{2}{n}+3}=\frac{0+5}{0+3}=\frac{5}{3}[/tex]
In this sequence An is convergents where limits are [tex]\frac{5}{3}[/tex].
Gina is buying the t-shirt at $10 the sales tax is 7.5%
Answer:
$17.50
Step-by-step explanation:
THATS THE TOTAL THE SALES TAX WOULD BE $0.75
thank you for your time
Helppppppp mmemeeeeme plzzzz
Hope this helps you solve your math problem.
What is the perimeter of this red polygon. Geometry!!
Answer:
13 cm.
Step-by-step explanation:
Add all the sides to get the perimeter
A triangle has side lengths 8, 7, 4. In a similar triangle the smallest side is represented by x + 5 and the longest side is represented by x - 3. What is the value of x?
Answer:
x = 11
Step-by-step explanation:
8/4 = (x+5)/(x-3)
cross-multiply:
8(x-3) = 4(x+5)
8x - 24 = 4x + 20
4x = 44
x = 11
Answer:
Step-by-step explanation:
X=11
The longest known is double than samallest known
2(x-3) = x+5
2x-6 = x+5
x= 11
11-3 = 8
11+5 = 16
Sides of the known triangle 8,7,4 (side 8 double than side 4)
Sides of the similar triangle 16,14,8 (side 16 double than side 8 )
find the cost of 72 books at 5.75
Answer:
72×5.75=414
Step-by-step explanation:
is the cost of 72 books
The negative integers greater than or equal to -12
assume that the total surface area of the cuboid is 200cm^2 work out the volume of the cuboid
Answer: 187.5
Step-by-step explanation:
200 - 2 x 5 x 5 = 50
200 - 50 = 150
150/ 4 = 37. X 5 = 187.5
- hope this helps
Can someone help me with this question plz show work.
Answer:
d
Step-by-step explanation:
V=whl=3·4·6=72
D. 6*4*6≠72
Answer:
D 6x6x4
Step-by-step explanation:
the dimensions are 3x6x4 so 6x6x4 is not the volume of this rectangular prism
I've been asking since yesterday :(
Candace is designing a rectangular garden. The garden's diagonal must be 37.7 feet, and the ratio between the garden's base and height must be 12:5. Find the length of the garden's base and height. The garden's base is feet and its height is
Answer:
Step-by-step explanation:
let the base=12x
and height=5x
(12x)²+(5x)²=37.7²
144x²+25x²=37.7²
169x²=37.7²
(13x)²=37.7²
13x=37.7
x=37.7/13=2.9
base=12×2.9=34.8 ft
height=5×2.9=14.5 ft
Answers of these two questions??
Answer:
1:second ans
2:fourth ans!
Step-by-step explanation:
brainlist
Help ASAP pleaseeee. I will give brainliest!!
Make a list of all the possible outcomes of a three‐color spinner that is spun four times in a row.
There is 81 possible outcomes
Answer please which number line shows 1/3 and it’s opposite
Answer:
D
Step-by-step explanation:
the first of three parts is what 1/3 is
Which expression is equivalent to 1/6 (2x+3y)
Answer:
x/3+y/2
Step-by-step explanation:
Hello, to find the equivalent expression in this equation, you would first distribute the 1/6 to 2x+3y like this:
2x(1/6)+3y(1/6)
Then, you multiply and you would get x/3+y/2. And that would be the answer.
A picture has a height that is 2 times it’s width . It is to be enlarged to an area of 128 in 2
What will the dimensions of the enlargement be , if the equation to represent its area 2x 2 = 128
9514 1404 393
Answer:
8 in by 16 in
Step-by-step explanation:
In your equation, we presume that x represents the width. Solving for x, we have ...
2x² = 128 . . . . . . given equation
x² = 64 . . . . . . . . divide by 2
x = √64 = 8 . . . . square root
The enlargement will be 8 inches by 16 inches.
Help I’ll give extra points & brainlist
Answer:
Options 1-3
A
B
C
A classroom floor has a perimeter of 132 feet. What is the perimeter in
yards?
Answer:
44 yards
Step-by-step explanation:
Formula :
divide the length value by 3
Simplify the expression:
r+r+r+r+r+h
Answer:
r^4+h
Step-by-step explanation:
The height of water shooting from a fountain is modeled by the function f(x) = −4x2 + 24x − 29 where x is the distance from the spout in feet. Complete the square to determine the maximum height of the path of the water. (2 points)
a. −4(x − 3)2 − 29; The maximum height of the water is 3 feet.
Selected:b. −4(x − 3)2 − 29; The maximum height of the water is 29 feet.This answer is incorrect.
c. −4(x − 3)2 + 7; The maximum height of the water is 7 feet.
d. −4(x − 3)2 + 7; The maximum height of the water is 3 feet.
Answer:
d!
Step-by-step explanation:
Answer:
−4(x − 3)2 + 7
Step-by-step explanation:
I took the test
HELP ME PLEASEEEEEEEEE
0/25 is 0. 5/10 is 0.5 3/4 is 0.75 2/3 is 0.66666