Answer:
3.5 feet
I think is right
Tell whether the angles are complementary or supplementary. Then find the value of x.
Answer:
[tex]1) 3x+45=90[/tex]
[tex]3x=90-45[/tex]
[tex]3x=45[/tex]
[tex]\frac{3x}{3} =\frac{45}{3}[/tex]
[tex]x=15[/tex]
1) The angles are complementary
[tex]--------[/tex]
[tex]2)x-20+x=90\\[/tex]
[tex]2x=90+20[/tex]
[tex]2x=110[/tex]
[tex]x=55[/tex]
2) The angles are complementary
[tex]--------[/tex]
[tex]3)2x+(3x+25)=180[/tex]
[tex]2x+3x+25=180[/tex]
[tex]2x+3x=180-25[/tex]
[tex]5x=155[/tex]
[tex]x=\frac{155}{5}[/tex]
[tex]x=31[/tex]
3) The angles are supplementary
[tex]----------[/tex]
hope it helps..
have a great day!!
The following graph shows the fuel efficiency of a sample of cars. How many
cars get between 10 and 15 miles per gallon?
Fuel Efficiency of Cars
40
35
30
25
20
Number of cars
15
10
0
5
10
15
25
30
20
Miles per gallon
O A. 15
O B. 20
C. 5
D. 40
Answer:
B) 20
The 10-15 x axis bar graph shows 20 cars on the y axis
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]
can anyone help explain how to solve this?? please
Answer:
C
Step-by-step explanation:
All four sides of the triangle are 4 cm. An equilateral triangle has equal sides
please help only with number one
Answer:
so, where the dotted line is that is called the height, so you would times it and find your answer.
PLEASE HELP ME PLZ IN I GET IT RIGHT I WILL GIVE U A BRAINLY AND PLZ NO LINK THAT DON’T HELP AT ALL
For questions 3 that’s all i need help please !!! For a test and please put your answers below !!! It’s not D because one of friends had took it already and told me he choose D and it was incorrect. Thank you.
Answer:
56,067
Step-by-step explanation:
there are 52 weeks in a year. and they work 40 hours a week.
[tex]26.96*40=1078\\1078*52=56,067[/tex]
Answer:
The answer is C.
Step-by-step explanation:
What type of angle is angle G?
A. right
B. acute
C. straight
D. obtuse
Answer:
acute
Step-by-step explanation:
Need help fast please, plz
Answer:
13. rational, integer, white number, natural
14. irrational
Step-by-step explanation:
the third root of 125 is 5.
so, it is everything of the list except for irrational.
pi is a prime example of an irrational number. any calculation not eliminating the irrational number is also irrational.
if the area of square A is 225 ft2 and the area of square B is 400 ft2 what is the area of square c?
fr plz help i give brainiest
Answer:
Hello Love! Answer: 8000
volume is just length x width x height
so 20 x 20 x 20 = 8000
Answer:
8,000 in³
Step-by-step explanation:
All you have to do is multiply all the sides so it would be
20 · 20 · 20 = 8,000 in³
Hope this helped.
If you are willing to give me a brainliest you can its your choice.
I just need one more to level up.
Well anyways
STAY SAFE!!!!!
what is the surface area of this design
Answer:
the correct answer is 197 in^2
The area of a rectangular note card is 35 square inches. The perimeter is 24 inches. What are the
dimensions of the note card?
inches by
inches
Answer:
5in by 7in
Step-by-step explanation:
2*(l+w)= 24 => l+w= 12
Le= 35
It is easy to see that 35=5*7 and 12= 5+7
So 5 and 7 are the dimensions of the card
This composite figure is made up of three simpler shapes. What is the area of
the figure?
7 cm
4 cm
5 cm
4 CE
8 cm
A. 66 square cm
R 50 square cm
C. 46 square cm
D. 80 square cm
Answer:
A. 66 square cm
Step-by-step explanation:
HOPE IT HELPSS! :D
A company charges a shipping fee that is 6.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $60? Round to the nearest cent (hundredths place). *
Answer:
The answer is $2.52.
Step-by-step explanation:
56 x .045= $2.52
What’s the answer to this question?
A rectangle has an area of 4(x + 3) square units. x + 3= width, 4=length Use the distributive property to write an equivalent expression for the rectangle's area. Answer _______
Answer:
4x + 12
Step-by-step explanation:
4*x + 4*3 = 4x + 12
Notice what has happened. The plus sign remains.The 4 multiplies by both the x and the 3That's as far as you can take the problem. You cannot reduce it any further or combine it in any way. The reason is that the x has a 4 in front of it and the 12 has no x.
When those terms are separated by a plus or minus sign, the terms are not the same. Unlike terms cannot be combined.
Answer: 4x+12=4x+12 or 4x+12=4(x+3)
Step-by-step explanation:
(x+3)(4)=4(x+3) *because length x width=areaDistribute 4 into the parenthesis 4x+12=4(x+3)you can go even further4x+12=4x+12Hope this helps!
which is it? please answer asap
Answer:
the difference of m and 5 is graeter than 10
50 pts please help asap !
Answer:
its 23.5
Step-by-step explanation:
Answer:
d 26
Step-by-step explanation:
AC=24
AB=AC/2=12
AD²=AB²+BD²
AD²=5²+12²=25+144=169
AD=√169=13
AE=2*13=26
ANSWER FOR BRAINLY, Geometry composition of transformations from delta, i believe this is a reflection over the y axis im not sure, but
is it a (translation, rotation, or reflection) include units, and directions. always starts at the origin.
Answer:
First, reflect across the x-axis. Then, reflect across the y-axis. Or you could switch, doesn't matter.
What is the answer to number 12?
Answer:
12) 2.5
the height then is 2.5.
Step-by-step explanation:
42.9/3.3 = 13
32.5/13 = 2.5
Have a nice day!
In circle M, decanted PAMD and PBC are drawn from point P such that
Angle BC = 100 Degrees
Angle CD = 62 Degrees
Which of the following is the measure of angle P?
1. 19
2. 22
3. 34
4. 40
Answer:
Step-by-step explanation:
The coordinates of the following points represent the vertices of a rectangle. E: (4,2) F: (10,2) G: (10,8) H: (4,8) What is the perimeter, in units, of rectangle EFGH?
Answer:
Perimeter of rectangle EFGH = 24 unit
Step-by-step explanation:
Given:
E: (4,2)
F: (10,2)
G: (10,8)
H: (4,8)
Find:
Perimeter of rectangle EFGH
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between EF = √(4 - 10)² + (2 - 2)²
Distance between EF = √36
Distance between EF = 6units
Distance between FG = √(10 - 10)² + (2 - 8)²
Distance between FG = √36
Distance between FG = 6 units
Distance between GH = √(10 - 4)² + (8 - 8)²
Distance between GH = √36
Distance between GH = 6 units
Distance between HE = √(4 - 4)² + (8 - 2)²
Distance between HE = √36
Distance between HE = 6 units
Perimeter of rectangle EFGH = 6 + 6 + 6 + 6
Perimeter of rectangle EFGH = 24 unit
Sarah has 35 paperback books and 20 hardback books.
What fraction of the books are hardback
Answer:
4/11...................
Answer: 4/11
Step-by-step explanation:
The total number of books is 35+20=55, which will be the denominator, because the question is asking what fraction of all the books are hardcover. The number of hardcover books, 20, will be the numerator, so we end up with the fraction 20/55. 20 and 55 are both divisible by 5 (this means that when divided by 5, both numbers have a whole number quotient). 20/5= 4 and 55/5=11
So, the answer is 4/11
5.08x1.2/1.90+2.0-3.0001=?
Answer:
2.20832105263
i think it is
Answer:
6.774086
Step-by-step explanation:
write the first five terms of the sequence an=3n^2
Answer:
2,1,0 is the sequence of its terms
find two mixed number or fractions that have a quotient of 3 1/5
Answer:
[tex]6 \frac{1}{5} [/tex]
Step-by-step explanation:
31/5
6/1/5
A bag contains 11 red beads, 10 blue beads, and 4 green beads. If a single bead is picked at random, what is the probability that the bead is green?
Answer:
4/15
Step-by-step explanation:
15w, when w = 12 I need help plz
Answer:
180...
Step-by-step explanation:
15 x 12 = 180
A bottle of my favourite drink contains 12% alcohol. On my doctors advice I added 20ml water
to the bottle to reduce the concentration to 10%. What was the quantity of drink in my bottle
initially?
484848595969696539577589074969594389