Answer:
P(A and B) = 7/80
Step-by-step explanation:
The given values of the probabilities of the different events are;
P(A) = 7/20
P(B) = 7/20
P(A or B) = 49/80
P(A and B) = Required
We have by probability theory for any event;
P(A or B) = P(A) + P(B) - P(A and B)
Therefore;
P(A and B) = P(A) + P(B) - P(A or B)
Plugging in the values gives;
P(A and B) = 7/20 + 7/20 - 49/80 = 7/80
∴ P(A and B) = 7/80
Can you help me please
Answer:
∠1 = 48
∠2 = 132
∠4 - 132
Step-by-step explanation:
∠3 and ∠1 are vertical angles
vertical angles are congruent ( equal to each other )
So if ∠3 = 48° then ∠1 also = 48°
∠3 and ∠4 are supplementary angles
supplementary angles add up to equal 180°
Hence, ∠3 + ∠4 = 180
48 + ∠4 = 180
180 - 48 = 132
Hence, ∠4 = 132
∠4 and ∠2 are vertical angles
Like stated previously vertical angles are congruent
Hence, ∠2 = 132
Select all the right triangles, given the lengths of the sides.
Answer:
A and E are right triangles
Triangles A and triangle E are the right-angle triangle, but triangles B, C, and D are not right-angle triangles.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.
Applying in Pythagoras theorem in the triangle A:
(√5)² = (√2)²+ (√3)²
5 = 5
Triangle A is the right-angle triangle.
For triangle B:
(√5)² = (√4)²+ (√3)²
5 ≠ 7
Triangle B is not the right-angle triangle
For triangle C:
16 + 25 ≠ 36
triangle C is not a right-angle triangle
For triangle D:
25 + 25 ≠ 49
triangle D is not a right-angle triangle
For triangle E:
100 = 36 + 64
It is a right-angle triangle.
Thus, triangles A and triangle E is the right angle triangle.
Learn more about a right angle;
https://brainly.com/question/7116550
#SPJ2
Samuel wants to buy cookies for his friend. The diameter of a cookie is 20 inches. What is the cookies area? Round to the nearest hundredth
Answer:
314.16
Step-by-step explanation:
Area=πr2
d=2r
Solving for Area
A=1
4πd2=1
4·π·202≈314.15927
A rectangular swimming pool has a base with measurements of 25 meters and 17 meters. The height of the pool is 2 meters, what is the volume of the pool
Answer:
850m³
Step-by-step explanation:
Volume is length X width X height.
So, 25 x 17 x 2 = 850 meters cubed
The Old-Fashioned but Newfangled Candy Company wants to mix some of its $5.50 per pound Tropical Taffy, with 100 pounds of its $6.25 per pound Passion Fruit Taffy to create a $6 per pound taffy called Tropical Passion. How many pounds of the $5.50 per pound Tropical Taffy should the company use?
Answer:
50
Step-by-step explanation:
x= the number of pounds of the tropical taffy that should be used
You need to take the value of the Tropical Taffy + the value of the Passion Fruit taffy to = the value of Tropical Passion
value- price per pound times the number of pounds
Your equation is going to look like this-->
5.50x+6.25(100)=6(x+100)
5.50x+625=6x+600
-5.50x -5.50x
625=0.5x+600
-600 -600
25=0.5x
50=x
Hope this helps!
if 2/3x - 1 = 4 then x = ?
Answer: 2/15
Step-by-step explanation:
2/3x-1(3x/3x)=4
2/3x-3x/3x=4
2-3x=12x
2=15x
x=2/15
66 oz = __lb in a mixed number
Answer:
[tex]4\frac{1}{8}[/tex] pounds
Step-by-step explanation:
1 pound = 16 ounces
[tex]\frac{66}{16} =\frac{y}{1}[/tex]
16 × y = 66 × 1
16y = 66
16y ÷ 16 = 66 ÷ 16
[tex]y=4\frac{1}{8}[/tex]
Answer: 4 1/8
Step-by-step explanation:
16 oz in 1 lb
64 -> 4 lb
2/16 = 1/8
4 1/8 lb
Pls what’s the answer
Answer:
D is correct option.
Step-by-step explanation:
g(x) =-3 root x-1.
I need help with this one! Please
Answer:
Less than or equal to 0
Step-by-step explanation:
You selected the correct answer.
Hope this helps
can someone please help me?? as soon as possible! would really appreciate it
x = ___ units
Answer:
[tex] RT = \frac{ \sin(60 \degree) }{ \sqrt{3} } \\ RT = 0.5 \\ x = RT \tan(45 \degree) \\ x = 0.5 \times \tan(45 \degree) \\ x = 0.5 \: units[/tex]
Answer:
the first angle is 180 - (90 + 60) = 30
second angle is 180 - (45 + 90) = 45
30 + 45 = 75
3\/- 75 = 4.217163327 units
Here!! no links please
Answer:
area = 66.28 km²
Step-by-step explanation:
area = (8 x 2) + (11 x 4) + (3.14)(2²)(0.5) = 16 + 44 + 6.28 = 66.28 km²
Answer:
Solution given:
area of semi circle=½×π×r²=½π×2²=6.28km²
area of rectangle ABCD=L×b=3×4=12km²
area of rectangle EFGC=L×b=8×6=48km²
total area =6.28+12+48=66.28 square kilometers.
4) Write the equation for the line of best fit shown in the graph below. Show all your work.
(3 points)
Answer:
3y = 2x+6
Drawing:
In a right triangle, angle φ has a tangent value of 1.40. The side adjacent to angle φ has a length of 9.0 inches. What is the length of the side opposite angle φ?
a. 6.4 inches
b. 12.6 inches
c. 9.1 inches
d. 54.4 inches
Answer:
b) 12.6 inches
Step-by-step explanation:
tangent is the ratio of the side opposite over adjacent, so if we let x= length of the opposite side, 1.40=x/9, x=12.6 inches
b) 12.6 inches
Hope it helps!!
20/100 + 4/10 =20/100 + x = x move a fraction to make the equation true
Answer:
remove 4/10
20/100=20/100= 1 which is x
Step-by-step explanation:
Mrk ME BRAINLIEST PLZZZZZZZZZZ
Which is greater, the circumference of a circle with radius 3 ft, or the distance around a semicircle with diameter 16 A? By how much? circle, by 40 ft circle, by 2n ft semicircle, by 40 ft Od semicircle, by 21 ft
Answer:
Option C
Step-by-step explanation:
Circumference of a circle = [tex]2\pi r[/tex]
Circumference of a circle with radius 3 ft= [tex]2\pi *3 = 6\pi[/tex]
Circumference of a circle with radius 8 ft or 16 ft= [tex]2\pi *8/2 = 16\pi/2 = 8\pi[/tex]
The difference between the two circle
[tex]8 \pi - 6\pi = 2\pi \\= 2 * 3.14\\= 6.28\\[/tex]
Hence, option C is correct
HELP is 3.31227766... a rational OR irrational number?
Answer:
irrational
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
irrational.
Step-by-step explanation:
Fabric is on sale for these prices: orange, $3 per yard; blue, $4 per yard; yellow, $2.50 per yard; and white $1.50 per yard. Irma needs to buy 3 different colors of fabric with a total length of 2 yards. She has a budget of $6. What fabrics could she buy?
Answer:
Yellow White And Orange I pretty Sure!! Im sorry if this is not what you want! I can change it if so.
Step-by-step explanation:
Can somebody help me out my grade are bad
Answer:
I would make a triangle
Step-by-step explanation:
Answer:
Step-by-step explanation:
what the answer for this equation 2+(3-2x2)x1
Answer:
I got 1 (but i was using math.way so im so sorry if its wrong)
Step-by-step explanation:
also i love your pf.p
Answer:
2+(3-2*2)*1
2+(3-4)*1
2+(-1)*1
2-1
1 answer
Please help me find the range!
I will give brain list
Answer:
Step-by-step explanation:
Which line segment is a radius of K?
Answer:
KD
JK
Step-by-step explanation:
Hope it helps you in your learning process
hello pls help me. khan academy sucks
Answer:
straight angle
i think straight angle is right answer
Last year, a population of rabbits had 20 births, 10 deaths, 15 individuals immigrate, and 15 individuals emmigrate.
What is the change in population size for the rabbits that year?
Answer:
+10
Step-by-step explanation:
35 - 25 = 10. I got 35 because 20 + 15 from the bunnies immigrating and 25 from the deaths and bunnies emmigrating out of the population.
THIS IS URGENT PLZ HELP!!!
Find three consecutive EVEN numbers such that: The sum of one sixth of the first number, two sevenths of the second number and one half of the third number equals 54
Answer:
12
Step-by-step explanation:
2
4
6
8
10
12
14
16
18
20
22
24
26
Marcus is choosing 4 books to read from a list of 15 books. If order matters, how many ways can he choose to read the books?
4
32,760
23,760
60
Answer:
32,760
Step-by-step explanation:
Given :
Since the order matters, we use the permutation relation :
Recall :
nPr = n! ÷ (n - r)!
n = 15 ; r = 4
15P4 = 15! ÷ (15 - 4)!
15P4 = 15! ÷ 11!
15P4 = (15 * 14 * 13 * 12)
15P4 = 32,760
Can someone help me plzz!! no links tho
Answer:
A
Step-by-step explanation:
Please explain how - calc ab - see attached photo
Answer:
D
Step-by-step explanation:
Set up to different integrals that match the endpoints
so in our case it would look like
[tex]\int\limits^0_{-2} {x} \, dx +\int\limits^1_0 {x+1} \, dx[/tex]
now it's just a matter of computing it
[tex]\int\limits^0_{-2} {x} \, dx =x^2\\0^2-(-2)^2=4\\\int\limits^1_0 {x+1} \, dx =\frac{x^2}{2}+x\\\frac{1}{2}+1-0=\frac{3}{2}\\\frac{3}{2}+4=\frac{11}{2}[/tex]
Examine the expression. 17x - 34 Which is an equivalent expression? O 17*(1 + ) O 17x (1-2) O 17+(1-1) O 17*(1 + 2)
Answer:
17(x-2)
Step-by-step explanation:
Given the expression
17x - 34
We are to factorize it
Get their factors
17x = 17 * x
34 = 17 * 2
Since 17 is common to both factors, hence 17 is the GCF
17x - 34 = 17(x - 2)
Hence the equivalent expression is 17(x-2)
NEED HELP ASAP PLEASE PRETTY SIMPLE TYSM
Answer:
[tex]2x + 3y = 6 ---(1)\\y = \frac{x}{6} - 3 ----(2)\\\\substitute \ y \ in \ (1)\\2x + 3(\frac{x}{6} - 3) = 6\\\\2x + \frac{x}{2} - 9 = 6\\\\\frac{5x}{2} = 6+9\\\\\frac{5x}{2} = 15\\5x = 30 \\x = 6\\substitute \ x \ in \ (2)\\\\y = \frac{6}{6} -3 = 1 - 3= -2[/tex]
x = 6, y = -2