The domain is the input (x) value. Since the equation is not provided with any input limit the answer is negative infinity to infinity.
The answer is the last choice.
A family has 4 children: Ariel, Bob, Chris, and Diana. Assuming that all birth orders are equally likely.
Find the probability that Ariel is older than Diana.
Find the probability that Ariel is older than Diana, if it is given that Ariel is older than Bob.
Find the probability that Ariel is older than Diana, if it is given that Chris is older than Diana.
Find the probability that Ariel is older than Diana, if it is given that Diana is older than Bob.
Answer:
A) 0.5
B) 0.375
C) 0.375
D) 0.167
Step-by-step explanation:
Let's call
a: Ariel
b: Bob
c: Chris
d: Diana
There are 4*3*2*1 = 24 total combinations to order the 4 children
A) Ariel is older than Diana in the following 12 cases:
a b c d
a b d c
a c b d
a c d b
a d b c
a d c b
b a c d
b a d c
b c a d
c a b d
c a d b
c b a d
Then, the probability is 12/24 = 0.5
B) The condition "Ariel is older than Diana, if it is given that Ariel is older than Bob" is satisfied in the six first cases and last three cases of before.
Then, the probability is 9/24 = 0.375
C) Ariel is older than Diana, if it is given that Chris is older than Diana, in the following cases:
a b c d
a c b d
a c d b
a d c b
b a c d
b c a d
c a b d
c a d b
c b a d
Then, the probability is 9/24 = 0.375
D) Ariel is older than Diana, if it is given that Diana is older than Bob, in the following cases:
a c d b
a d b c
a d c b
c a d b
Then, the probability is 4/24 = 0.167
Answer:
jesus
Step-by-step explanation:
Identify the vertex of the function graphed below.
A.
(1,2)
B.
(2,-1)
C.
(3,-2)
D.
(0,7)
Answer: (3, -2)
Step-by-step explanation:
The vertex is the highest or lowest point of a parabola, and I found it. Hope this helps :)
Answer: C.) 3,-2
Step-by-step explanation: The vertex is where the point or the curve of the vertex meets another point, wheras on this graph -2 and 3 are symmetrical and meet up on the graph.
brainliest & points!
i need help with math asap, show work too if possible :)
Answer:
I think the answer is x is 16 and y is 20? I could be wrong tho
Step-by-step explanation:
First, subtract -7 from -1 to get 8.
Then, add the 12 and you get 16 for x.
First, subtract 7y from 9x to get 2y
Then, add 4 to get 20 for y.
write the equation of circle b with center B(-2,3) that passes through (1,2)
Answer:
[tex](x+2)^2 + (y-3)^2 = 10[/tex]
Step-by-step explanation:
The standard equation for circle is
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
where point (a,b) is coordinate of center of circle and r is the radius.
______________________________________________________
Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have
[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]
Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have
[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]
now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]
The triangle shown below has an area of
40
4040 units
2
2
squared.
Find the missing side.
Answer:
x = 10 units
Step-by-step explanation:
The formula for the area of a triangle of base x and height h is A = (1/2)(x)(h).
Here A = (1/2)(x)(8) = 40, so 8x = 80 and x = 10 units
If we look at this triangle we can see the straight line (the height). We want to use the height to figure out the side? Well divide 40 with the height (8). And now you get 5(cause 5*8 is 40. duh)
Given: m∠ABC = 50°,
AC = 30
Find: OA
Answer:
OA = 19.58
Step-by-step explanation:
If we draw the segments OA and OC, we will have an isosceles triangle OAC.
With the property of inscribed angles and central angles that are related to the same arc of the circunference, we have:
mAOC = 2 * mABC
mAOC = 2 * 50 = 100°
As the triangle OAC is isosceles, we have that mOAC = mACO.
Knowing that the sum of internal angles of a triangle is 180°, we have:
mACO + mOAC + 100 = 180
2 * mACO = 80
mACO = 40°
Now, using the law of sines, we have:
OA / sin(ACO) = AC / sin(AOC)
OA / 0.6428 = 30 / 0.9848
OA = 30.463 * 0.6428 = 19.58
Which statement is the correct solution?
I believe what answer you have put is correct
obtuse
scalene
right
isosceles
Answer: It is an isosceles triangle. It will have two equal sides.
Step-by-step explanation:
Answer:
isosceles
Step-by-step explanation:
two of the sides are equal
Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.
Answer:
I dont know
Step-by-step explanation:
I dont know sorry
Answer:
70
Step-by-step explanation:
Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2
Answer:
12
Step-by-step explanation:
We can use the pythagorean theorem giving us:
a^2+b^2=c^2
(6sqr2)^2 + (6sqr2)^2 = c^2
72+72=c^2
144=c^2
12=c
the figure below shows a graph of the function of f(x) in the coordinate plane
Part A: Identify the following key features of the graph:
A. Vertex: ___________________
B. Axis of symmetry: ___________________
C. Y −intercept: ___________________
D. X −intercept(s): ___________________
Part B: Provide a real-world example that would be represented by this function and
tell what the key features above represent.
Answer:I think one is x
Step-by-step explanation:
What is the inverse function of f(x) = z/z-2
Answer:
f^-1(z) = 2z/z-1
Answer:
Step-by-step explanation:
The function declaration
f
(
x
)
f
(
x
)
varies according to
x
x
, but the input function
z
2
z
2
only contains the variable
z
z
. Assume
f
(
z
)
=
z
2
f
(
z
)
=
z
2
.
f
(
z
)
=
z
2
f
(
z
)
=
z
2
Take 2 y2 - 3 y - 5 from y3 - 6 y2 + 5 y . Select the correct answer.
A) y3 - 2 y2 + 3 y + 5
B) y3 - 4 y2 + 2 y - 5
C) y3 - 4 y2 + 2 y + 5
D) y3 - 8 y2 + 8 y + 5
Answer:
b
Step-by-step explanation:
Hope this helpsss :)
Answer:
your answer will be: B. y3 - 4 y2 + 2 y - 5
Step-by-step explanation:
-7 2/3+(-5 1/2) +8 3/4 sorry I'm to stupid to figure this out
A positive and a negative become a negative. First you convery the mixed fraction into an improper fraction, then you find the common denominator of all fractions, next step according to PEMDAS, you can add and subtract in any order you would like too.
1. -7 2/3 - 5 1/2 + 8 3/4
2. -23/3 - 11/2 + 35/4
3. -92/12 - 66/12 + 105/12 The common denominator is 12.
4. -92/12 - 66/12 = -158/12 A negative and a negative is addition but just add the negative sign.
5. -158/12 + 105/12 = -53/12 =
Answer= -4 5/12
This is my way of doing it but according to PEMDAS any other order of doing it is fine also!
You have a jar of marbles with 7 red, 12 blue, 6 yellow, and 9 white. What is the probability of selecting a marble that is not red, replacing it and then one that
is white?
Answer:
The probability of selecting a marble that is not red, replacing it and then one that is white is 0.2102
Step-by-step explanation:
Number of red marbles = 7
Number of blue marbles = 12
Number of yellow marbles = 6
Number of white marbles = 9
Total marbles = 7+12+6+9=34
Probability of selecting red marble =[tex]\frac{7}{34}[/tex]
Probability of selecting no red marble = [tex]1-\frac{7}{34}=\frac{27}{34}[/tex]
Now replacing it one marble is drawn again
So, Probability of getting white marble [tex]=\frac{9}{34}[/tex]
So,the probability of selecting a marble that is not red, replacing it and then one that is white =[tex]\frac{27}{34} \times \frac{9}{34}=0.2102[/tex]
Hence the probability of selecting a marble that is not red, replacing it and then one that is white is 0.2102
Help help help me me me
Step-by-step explanation:
...
the answer is 49/40
what does this net represent?
Answer: triangular pyramid
Step-by-step explanation: The net shown here is composed of 3 triangular faces and 1 triangular base. The triangular faces tell us that the figure is a pyramid and the triangular base tells us that it's a triangular pyramid. You can always check your answer by tracing the net, cutting it out, and folding it to see what kind of a figure is formed.
A person purchases items marked $2.95, $12.99, $6.97, and $4.19. What is the total cost of these purchases including 6% sales tax
What must be the length of XY if triangle ABC is
similar to triangle XYZ?
a. 8
b. 10
c. 12.8
d. 20
Answer:
x=12.8
Step-by-step explanation:
xy / 8 = 16 /10
xy = (8 * 16) / 10
xy = 12.8
Can you Graph y= 2/3x -4, please
Quite a vague question, I used desmos to graph the attached photo.
please help i don't get it
Answer:
97 cm
Step-by-step explanation:
The perimeter of a shape is the length of the whole shape so the perimeter of this shape would be
3 + 10 + 3 + 33 + 33 + 15 = 97 cm
What is the surface area of this rectangular prism?
Answer:
Step-by-step explanation:
l = 5 in
w = 5 in
h = 12 in
Surface area of rectangular prism = 2*(lw +wh + hl)
= 2*(5*5 + 5*12 + 12*5)
= 2*(25 +60 +60)
= 2*145
= 290 in²
Can you help me please
Answer:
372.6
3Step-by-step explanation:
Two cruise ships sail from New York to Florida . One ship makes the round trip in 8 days and the other in 10 days . Both ships set sail from New York today. What is the fewest number of days both ships will sail again from New York on the same day ?
Please show work
A. 2
B. 18
C. 40
D. 80
Answer:
the answer is 40
Step-by-step explanation:
you have to multiply 8x10=80 divied by 20 which equal 40
Answer:
c
Step-by-step explanation:
Davi has 75 flower seeds. He wants to plant the seeds in pots so that every seed is planted, and every pot has
the same number of seeds.
We can have the following cases:
5 pots and each pot has 15 seeds.
3 pots and each pot has 25 seeds.
15 pots and each pot has 5 seeds.
What are factors of a number?Factors are the numbers that divides another number with no remainder.
Given,
Davi has 75 flower seeds.
Every seed is planted.
Every pot has the same number of seeds.
Find the number of pots.
We have,
Total seeds = 75
Since every seed must be planted we can have the following cases.
Case1 - 5 x 15
Here there are 5 pots and each pot has 15 seeds
Case2 - 3 x 25
Here there are 3 pots and each pot has 25 seeds.
Case3 - 15 x 5
Here there are 15 pots and each pot has 5 seeds.
Thus we can have the following answer:
5 pots and each pot has 15 seeds.
3 pots and each pot has 25 seeds.
15 pots and each pot has 5 seeds.
Learn more about finding the number of seeds planted in each pot here:
https://brainly.com/question/5174883
#SPJ2
Please help ASAP will mark brainliest
Answer:
-3y^2-7y+6
Step-by-step explanation:
We can use foil to solve this equation:
(-3y+2)(y+3)=
(-3y*y)+(-3y*3)+(2*y)+(2*3) (symplify)=
-3y^2-9y+2y+6
Which equals to -3y^2-7y+6
We can use FOIL to solve.
(-3y + 2)(y + 3)
(-3y * y) + (-3y * 3) + (2 * y) + (2 * 3)
-3y^2 + -9y + 2y + 6
-3y^2 + -7y + 6
-3y^2 - 7y + 6
The answer is A
Best of Luck!
On a distant planet, a 20º central angle intercepts an arc of 4067 miles. What is the radius of the planet at its equator?
The radius of the planet is
miles. (Simplify your answer.)
Answer: 11,682.4 miles
Step-by-step explanation:
We can think the planet as a circle:
if we have a circle of radius R, and an arc of A degrees in the circle, the lenght of the arc is:
L = (A/180°)*3.14*R
Here we know that:
L = 4076 miles
A = 20°
Then:
4076mi = (20/180)*3.14*R = 0.3489*R
R = 4076mi/0.3489 = 11,682.4 miles
Simplify 5(x – 7) + 6x.
Answer:
11x -35
Step-by-step explanation:
5(x – 7) + 6x.
Distribute
5x - 35 +6x
Combine like terms
11x -35
Answer:
11x-35
is the answer
Multiply (x - 2)(3x + 4) using the distributive property. Select the answer
choice showing the correct distribution.
Answer:
(x-2)(3x)+(x-2)(4)
When distributing you just break up the second parentheses and put the first parentheses infront of both of them, as it is shown in this answer.
Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of paper. There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips. Are the events "odd” and "yellow” independent?
Answer:
odd
Step-by-step explanation:
Answer:
yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellowStep-by-step explanation:
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