A and B are independent events. P(A) = 0.80 and P(B) = 0.10.
What is P(A and B)?
Answers
Answer:
C 0.90
Step-by-step explanation:
Add 0.10 and 0.80=0.90
Answer:
D
Step-by-step explanation:
P(A and B)=P(A)×P(B)=0.80×0.10=0.08
Related Questions
i need help with this
Answers
Answer:
Step-by-step explanation:
64
128°
Step-by-step explanation:
The measure of the intercepted arc is twice the measure of the inscribed angle in a circle. Since the inscribed angle is given as 64°, that means that the intercepted arc x is 2×64° = 128°
Help please this is so hard I don't understand it
Answers
Answer:
<ABC = 15
< BAC = 150
Step-by-step explanation:
<C = <B since this is an isosceles triangle. We know this because AC = AB
<C = 15 so <ABC = 15
The sum of the angles of a triangle is 180
A + B+ C = 180
A + 15+15 = 180
A +30 =180
A = 180-30
A = 150
< BAC = 150
What is the area of the triangle formed from (0,-3), (0,4), and (4,-3)?
O A. 14 square units
O B. 6 square units
O c. 48 square units
O D. 24 square units
Answers
In the short run, higher demand will not influence the price, it will influence
A. output.
B. price.
ОО
C. investment.
D. input.
Answers
Answer:
c espero q passe na prova tudo de bom pra vc
. A population of rabbits oscillates 25 above and below an average of 129 during the year, hitting the lowest value in January (t = 0). a. Find an equation for the population, P, in terms of the months since January, t. b. What if the lowest value of the rabbit population occurred in April instead?
Answers
Answer:
Because we know that here we have an oscillation, we can model this with a sine or cosine function.
P = A*cos(k*t) + M
where:
k is the frequency
A is the amplitude
M is the midline
We know that at t = 0, we have the lowest population.
We know that the mean is 129, so this is the midline.
We know that the population oscillates 25 above and below this midline,
And we know that for t = 0 we have the lowest population, so:
P = A*cos(k*0) + 129 = 129 - 25
P = A + 129 = 129 - 25
A = -25
So, for now, our equation is
P = -25*cos(k*t) + 129
Because this is a yearly period, we should expect to see the same thing for t = 12 (because there are 12 months in one year).
And remember that the period of a cosine function is 2*pi
Then:
k*12 = 2*pi
k = (2*pi)/12 = pi/6
Finally, the equation is:
P = -25*cos(t*pi/6) + 129
Now we want to find the lowest population was in April instead:
if January is t = 0, then:
February is t = 2
March is t = 3
April is t = 4
Then we would have that the minimum is at t = 4
If we want to still use a cosine equation, we need to use a phase p, such that now our equation is:
P = -25*cos(k*t + p) + 129
Such that:
cos(k*4 + p) = 1
Then:
k*4 + p = 0
p = -k*4
So our equation now is:
P = -25*cos(k*t - 4*k) + 129
And for the periodicity, after 12 months, in t = 4 + 12 = 16, we should have the same population.
Then, also remembering that the period of the cosine function is 2*pi:
k*12 - 4*k = 2*pi
k*8 = 2*pi
k = 2*pi/8 = pi/4
And remember that we got:
p = -4*k = -4*(pi/4) = -pi
Then the equation for the population in this case is:
P = -25*cos( t*pi/4 - pi) + 129
Given the triangle below, answer the following:
Answers
Answer:
Step-by-step explanation:
question no . 5
ratio of angle L
take angle as reference angle
using cos rule
cos L = base / hypotenuse
= 4/5
ratio of angle N
take angle N as reference angle
using sin rule
sin N = opposite / hypotenuse
= 4/5
for measure of angle L
cos L = 4/5
cos L = 0.8
L = [tex]cos^{-1}(0.8)[/tex]
L = 36.9
for meanure of angle N
sin N = 4/5
sin N = 0.8
N = [tex]sin^{-1}(0.8)[/tex]
N = 53.1
√25 + √ 81 = ? Heheeh
Answers
Answer:
14
Step-by-step explanation:
sqrt(25) = 5
sqrt(81) = 9
5 + 9 = 14
Answer:
5.83095189485
Step-by-step explanation:
Its so long
Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4)
y=
Answers
Answer:
[tex]{ \boxed{ \bf {general \: equation : y = mx + c}}} \\ m \: is \: the \: slope \\ { \green{slope = \frac{ \triangle \: y}{ \triangle \: x} }} \\ m = \frac{(4 - 5)}{(3 - ( - 2))} \\ m = - \frac{1}{5} \\ \therefore \: { \red{y = - \frac{1}{5} x + c}} \\ consinder \: the \: first \: point : \\ 5 = ( - \frac{1}{5} \times - 2) + c \\ c = \frac{23}{5} \\ \therefore \: { \boxed{ \bf{answer : 5y = - x + 23}}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
► What is the mean of the following data set? 98, 208, 189, 94, 117
Answers
Answer:
mean of data is 141.2
Step-by-step explanation:
mean of data = sum of data / no of data
=98 + 208 + 189 + 94 + 117 / 5
=706 / 5
=141.2
Answer:
141.2Step-by-step explanation:
98 + 208 +189 +94 +1117 =709
706/5 = 141.2
Hope this helps!
Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use s1, s2, and s3, respectively, for the vectors in the set.)
S = {(3,4),(−1,1),(2,0)}
Answers
Answer:
Let's define:
s1 = (3, 4)
s2 = (-1, 1)
s3 = (2, 0)
The system will be linearly dependent if we can write one of the vectors as a linear combination of the other two, so for example:
s1 = a*s2 + b*s3
where a and b are real numbers.
So let's try to solve this:
(3, 4) = a*(-1, 1) + b*(2, 0)
Note that the second term in the left only modifies the x-component. And the y-component in the left is 4, so we can conclude that a = 4 (because the first term is the only that has an y-component different than zero)
(3, 4) = 4*(-1, 1) + b*(2, 0)
(3, 4) = (-4, 4) + b*(2, 0)
Now we need to solve:
3 = -4 + b*2
3 + 4 = b*2
7 = b*2
7/2 = b
Then the linear combination is:
s1 = 4*s2 + (7/2)*s3
(3, 4) = 4*(-1, 1) + (7/2)*(2, 0)
Then the set is linearly dependent.
Can someone help me please???!
Answers
Answer:
1) Yes, it is a right angle triangle
2)Yes, it is a right angle triangle
3) No, they are not similar.
Step-by-step explanation:
Dimension of triangle A = 48, 55 & 73
Dimension of triangle B = 36, 77 & 85
For any of the triangles to be a right angled one, then;
c = √(a² + b²)
Where a,b & c are side dimensions of a triangle.
Thus;
Triangle A: c = √(48² + 55²)
c = √5329
c = 73
This tallies with what we are given and so it is a right angled triangle.
Triangle B: c = √(36² + 77²)
c = √(7225)
c = 85
Similar to the third side dimension of 85, thus it is true.
For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.
Thus, we have;
48/36 = 1.5
55/77 = 5/7
73/85 = 73/85
Since the ratios are not similar, then we can say that the triangles are not similar.
which of the following nets does not make a triangular prism?
Answers
Diagram A and Diagram B do not form a triangular prism
Please help ASAP thank you
Answers
Answer:
if you still need the answer its B here the explenation in a picture:
Step-by-step explanation:
Simplify the expression.
33 · 32 + 12 ÷ 4
Answers
Answer:
1059
Step-by-step explanation:
33 · 32 + 12 ÷ 4
PEMDAS
Multiply and divide first from left to right
1056 + 3
Then add
1059
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{33\times32+12\div4}\\\\\mathsf{33\times32= \boxed{\bf 1,056}}\\\\\mathsf{\bold{1,056}+12\div4}\\\\\mathsf{12\div4=\boxed{\bf 3}}\\\\\mathsf{1,056+\bf 3}\\\mathsf{= \boxed{\bf 1,059}}\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 1,059}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite40:)}[/tex]
What is y=4/5x+2 written in standard form?
Chose 1 answer:
A.−4/5x+y−2=0
B. 5y=4x+10
C. y=4/5(x+5/2)
D. −4x+5y=10
Answers
Answer:
The "Standard Form" for writing down a Linear Equation is
Ax + By = C
A shouldn't be negative, A and B shouldn't both be zero, and A, B and C should be integers.
--------------------------------
y = 4/5x + 2
Multiply both sides by 5 to clear the fraction
5y = 4x + 10
Subtract 4x from both sides
-4x + 5y = 10 This is answer D, BUT A shouldn't be negative
Multiply both sies by -1
4x - 5y = -10 This is correct Standard Form, BUT it is not one of the choices
Answer D is closest to being correct
Solve this asap for me
Answers
Answer:
by using middle term break method
Step-by-step explanation:
9x^2 + 12x + 4
9x^2+ (6 + 6)x + 4
9x^2 + 6x + 6x + 4
3x(3x + 2) + 2(3x + 2)
(3x + 2)(3x + 2)
(3x + 2)^2
The sum of two numbers is 50 and the difference is 18. What are the numbers?
Answers
Equations:
x + y = 50
x = y - 18
-------------------
Add and solve for "x"::
2x = 32
x = 16
-----
Solve for "y"::
16 + y = 50
y = 34
ANSWERS ARE IN BOLD
HELPPPPPPPPPPPPPPPP!!!
Which of the following is the product of the complex numbers below?
(6+ i)(2+91)
A. 3+56i
B. 3+52i
C. 21+56i
D. 21+52i
Answers
Answer:
It's answer is 93i +558....
Teresa is making iced tea. She has a container that has a volume of 3.95 gallons to store the iced tea.
Answers
what is the coefficient of y in 2-5y÷2
Answers
Answer:
-5/2 because there is -5y/2 but we have to take coefficient only so -5/2
Mrs. Brown, Mrs. White, and Mrs. Gray are a teacher, a doctor, and a lawyer, not necessarily in that order. Each has a horse. One horse is white, one is brown, and one is gray. From the following clues, determine the occupation of each woman and the color of her horse. No one’s name is the same as the color of her horse. The teacher owns a brown horse. Mrs. Gray is a doctor.
Answers
Answers:
Mrs. Brown ( lawyer ) owns the gray horse.Mrs. White ( teacher ) owns the brown horseMrs Gray ( doctor ) owns the white horse===========================================================
Explanation:
We're given these three clues
Clue 1: No one's name is the same as the color of her horseClue 2: The teacher owns a brown horseClue 3: Mrs. Gray is a doctor.Clue 3 is what we'll start with. Since Mrs. Gray is a doctor, this means that the doctor owns either a white horse or a brown horse. The doctor can't own a gray horse because the names can't match up (eg: the last name Gray with gray horse), due to clue 1.
If Mrs. Gray owned a brown horse, then she'd be a teacher (clue 2). But clue 3 says she's a doctor. We have a contradiction if Mrs. Gray owns the brown horse. Therefore, Mrs. Gray owns the white horse.
----------------
After we concluded the last section, we now know the following:
The horses that are left are the brown and gray horse.The professions left are the teacher and lawyer.The people left are Mrs. Brown and Mrs. White.In short, we've just crossed "Mrs. Gray", "doctor", and "white horse" from the list.
Based on clue 1, we know that Mrs. Brown cannot possibly own the brown horse. Therefore, she must own the gray horse. So Mrs. White must own the brown horse.
Since Mrs. White owns the brown horse, she must be the teacher (clue 2). That leaves "lawyer" as the last profession, and that's assigned to Mrs. Brown.
----------------
Side note: I apologize for being a bit wordy, but I wanted to be very careful in the logical sense as to approach this problem. There's probably a much quicker efficient way to do this.
The sum of 5 times a number and -2, added to 8 times the number.
The algebraic expression (simplify your answer)
Answers
Step-by-step explanation:
sum of 5 times a number and -2, + 8n
becomes:
5n + (-2) + 8n, or
5n -2 +8n, or. 13n - 2
k+9=7..................................................
Answers
Answer:K=-2
Step-by-step explanation:
becuase you do the opposite of +9 which is -9 and you do 7-9 which is -2 so K=-2
(2x^4+5x^3+5x^2+10+8)/(x+2)
Answers
Answer:
30
Step-by-step explanation:
You use polynomial division to divide all the numbers on the numerator by the denominator.
Jim and his dad are building a rectangular flower bed. They have a total of 35 feet of landscaping timber to use, and they want to use all of it. However, they are not sure what width and length they want the flower bed to be. In this activity, you will write a function in which the width of the flower bed, w, is the input, and the length, l, is the output. The perimeter of a rectangle is given by the equation 2l + 2w = p.If the width of the flower bed is 15 feet, what is its length? Write your answer as an evaluation of a function.
Answers
Step-by-step explanation:
the answer is in the image above
What is the slope of the line shown in the graph?
A coordinate plane is shown with points graphed at −2 comma 2 and 0 comma 1. The points are joined by a line.
−2
−1
−1 over 2
1 over 2
Answers
Answer:
-1 over 2
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
The line joins (-2, 2) and (0, 1).
Remember that slope equals change in y all divided by the change in x.
Here,
change in y = 1 - 2 =- 1
change in x = 0 -(-2) = 2
Thus, slope =- 1/2
One sixth of the students of a class joined the
sports club. Three fifth of these students opted
to play table tennis. If 6 students play table
tennis, how many students are there in the
class?
Answers
Answer:
5/8 the answer answer answer
Write an equation and solve for x. Show all your work.
Answers
Answer:
x=63
Step-by-step explanation:
Because we know that the total angle is a right angle (see the square in the top right of the problem), and 25 and x+2 constitute as the only two angles making up the total angle, we can say that 25 and x+2 are complementary, meaning they add up to 90 degrees. We can then write our equation as follows:
25 + (x+2) = 90
27+x=90
Subtract 27 from both sides
x=63
The height of a square pyramid where the lateral area equals 240 cm sq. and the edges of the base are 12cm
Answers
Answer:
The height is 8cm
Step-by-step explanation:
Given
[tex]L_A = 240cm^2[/tex] --- lateral area
[tex]a = 12cm[/tex] --- base lengths
Required
The height of the pyramid
The lateral area of a square pyramid is:
[tex]L_A = a\sqrt{a^2 + 4h^2[/tex]
So, we have:
[tex]240 = 12\sqrt{12^2 + 4h^2[/tex]
[tex]240 = 12\sqrt{144 + 4h^2[/tex]
Divide both sides by 12
[tex]20 = \sqrt{144 + 4h^2[/tex]
Square both sides
[tex]400 = 144 + 4h^2[/tex]
Collect like terms
[tex]4h^2 = 400 - 144[/tex]
[tex]4h^2 = 256[/tex]
Divide by 4
[tex]h^2 = 64[/tex]
Take square roots
[tex]h = 8[/tex]
in an examination 45% students passed in science only 25% passed in english only and 5% students failed in both subjects if 200 students passed in english find the total number of students by using venn diagram
Answers
Step-by-step explanation:
[tex]\huge\mathfrak\pink{Answer}[/tex]
Total number of students= y
(25/100) xy= 200
25 xy = 200 x 100
25y 20000
y = 20000/25
y 800
total number of students = 800
Step-by-step explanation:
[tex]\mathfrak\pink{Answer}[/tex]
Total number of students= y
(25/100) xy= 200
25 xy = 200 x 100
25y 20000
y = 20000/25
y 800
total number of students = 800