Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:
c. 0.51
If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this problem, these following two events result in the rights of exactly one of the two mountains being bought:
First bought(0.55 probability), second not(0.6 probability).First not bought(0.45 probability), second bought(0.4 probability).Hence:
[tex]p = 0.55(0.6) + 0.45(0.4) = 0.51[/tex]
Thus, option c is correct.
A similar problem is given at https://brainly.com/question/24174994
If the perimeter of a rectangle is 6x^2-2x+14 and the length is x^2-x+8 what is the measure of the width?
Please help!!
Answer:
w = 2x^2-2x+15
Step-by-step explanation:
Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:
6x^2-2x+14 = 2(x^2-x+8) + 2w
Then, distribute the 2 to everything inside the parentheses.
6x^2-2x+14 = 2x^2-2x+16 + 2w
Subtract 2x^2-2x+16 from both sides, leaving you:
4x^2-4x+30 = 2w
Divide 2 from both sides.
2x^2-2x+15
The answer is 2x^2-2x+15
Three bowls of frozen yogurt cost 8.25. At the same rate how much do 9 bowls of frozen yogurt cost.
Answer:
$24.75
Step-by-step explanation:
$8.25 is for 3. So triple that cost gets you $24.75
please answer the all questions
Answer:
e)
a = 58°
alternate angles
b = a = 58°
Triangle is scalene (indicated by the 2 dashes on the triangle)
d = 180 - (58*2)
d = 64°
c = 58°
use either 180- (64+58)
which is angles in a straight line = 180 total
or
alternate angles
b = c = 58
f) x = 50°
alternate angles
y+z = 180-50
y+z = 130
we know that y = z
scalene triangle indicated by arrows (both bases are same angle)
so 130/2 = y and z
65 = y
65 = z
g) x = 55
alternate angles
on the diagram take the triangle which has x and y
you can see 95° outside the triangle, it’s on a straight line and will help us find the third angle for that triangle
180-95 = 85
180 - (85+55) = y
y = 40
z = y = 40
alternate angles
h)
180-78 = 102
beside angle a would be the angle 2a
alternate angles (look at the photo)
180 = 102 + a + 2a
180 = 3a + 102
78 = 3a
a = 26°
2a = 52
b = 26
use either alternate angles
a = b
or total angles in a triangle = 180°
102 + b + 56 = 180
b = 180-52-102
x + 3y = 5
x + 2y = 3
Solve by using elimination
Answer:
(x, y) = (-1, 2)
Step-by-step explanation:
The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)
(x +3y) -(x +2y) = (5) -(3)
y = 2 . . . . . . . simplify
x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x
The solution is (x, y) = (-1, 2).
the ratio of adult to children in the spot club is 5:3 There are 120 people in the club. how many children are there
Answer:
5:3=8
3/8 x 120
3/1 x 15
3 x 15=45
Step-by-step explanation:
hope this helps
sorry
A ball is thrown directly upward from height of 2 ft with an initial velocity of 24 ft/sec. The function is s(t)=-16 t^2+24t+2 give the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reflects its maximum height and find the maximum height.
Answer:
time: 0.75 secondsheight: 11 feetStep-by-step explanation:
A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.
__
A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...
t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height
The height at that time is ...
s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2
s(3/4) = 11 . . . . feet at maximum height
Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?
Step-by-step explanation:
kruitika- 42
Gordorn-31
so krutila was 11 when they gave birth to Gordon
she was 23 when they gave birth to pip
The youngest of them is pip so pip is =19
PLEASEEE HELP ME WITH THIS!!!
Answer:
m∠H = 10°
Step-by-step explanation:
ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.
Diagram is attached:
-Chetan K
Determine if the triangles are similar. If similar, choose how and also choose the correct similarity statement.
Select 2 correct answer(s)
SAS
SSS
AA
Not Similar
△LMN ~ △GHN
△LNM ~ △GHN
△MLN ~ △GHN
Answer:
SAS∆LMN ~ ∆GHNStep-by-step explanation:
If the long segments have the same ratio as the short segments, then corresponding sides of the large and small triangles are proportional.
LG/MH = 12.5/10 = 1.25
GN/HN = 40/32 = 1.25 . . . . so the triangles are similar
__
The proportional side pairs are LN and GN, MN and HN. Angle N is between those side pairs, so the SAS criterion applies.
Since corresponding vertices are (L, G), (M, H), and (N, N). ∆GHN will be similar to ∆LMN.
22 divided by a number s in algebraic expressions
Answer:
22 divided by a number s
Step-by-step explanation:
[tex] \frac{22}{s} [/tex]
which symbol would best replace the question mark below
Answer:
C?
Step-by-step explanation:
A rectangle has an area of 24cm Function f gives the length of the rectangle, in centimeters when the width is w cm. Determine if each value,
in centimeters, is a possible input of the function
3 0.5 42 60
Answer:
Yes
Step-by-step explanation:
f = 24/w
Just plug in each one, would only be an error if denominator would = 0
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets is £1804.80.
An adult's ticket costs £51.60
Find the cost of a ticket for a child.
Answer:
I don't have the Pound Sterling sign on my keyboard but the answer is $45.60
Step-by-step explanation:
Since each adult ticket costs $51.60 and there are 12 adults
The total cost of adult tickets = $51.60*12=$619.20
Then take the total cost of tickets and subtract $619.20 from it
$1804.80-619.20=$1185.60 that's the total cost of children's tickets
Since there are 26 children you have to divide that answer by 26 to get it
$1185.60/26=$45.60
plz help asap
Find the length X
Answer:
x=8 that's the answer for the question
Which of the following is a possible situation for the graph shown?
Step-by-step explanation:
but the graph is not given here
How could you convince someone that the square root of 50 must
be just a tiny bit more than 7?
Answer:
[tex] \sqrt{50 } [/tex]
u could ask them to calculate it themself
the answer is 7.07
The square root of 50 is equal to 7.07 which is more than 7.
What is a radical expression?
An nth root of a number x in mathematics is a number r that, when raised to the power n, equals x: display style [tex]r^n=x,[/tex] where n is a positive integer, also known as the degree of the root. Degree 3 roots are referred to as cube roots, while degree 2 roots are known as square roots.
Given that the square root of 50 is greater than 7. The value of the square root of the number 50 will be:-
√50 = 7.07
Therefore, the square root of 50 is equal to 7.07 which is more than 7.
To know more about radical expression follow
https://brainly.com/question/738531
#SPJ2
Josh is painting all the walls in his room that is 3m x 4m and 2.75m high, How much paint in square feet is needed?
Answer:
33
Step-by-step explanation:
3*4*2.75=33
The sum of two consecutive even numbers is 214. What are the numbers?
Step-by-step explanation:
since they are consecutive even numbers, one is bigger by 2 than the other number.
so,
x + (x + 2) = 214
2x + 2 = 214
x + 1 = 107
x = 106
so, the 2 numbers are 106 and 108.
An acute angle of a right-angled triangle is twice the other acute ongle find them
Answer:
30° and 60°Step-by-step explanation:
An acute angle of a right-angled triangle is twice the other acute ongle find them
the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle
(180 - 90) : 3 = 30
30 * 2 = 60
----------------------
check
90 + 30 + 60 = 180°
the answer is good
Create a random triangle, ABC Measure and record its angles.
Answer:
a. 3.5
b.5.4
c 2.6
Step-by-step explanation:
/\_
Help me with this hw plz
Answer:
here
Step-by-step explanation:
А. parallelogram .............
Bob bought 2Ibs of apples for $6. Explain how to find the unit rate and give the meaning of unit rate
Answer:
Unit rate is 3
Step-by-step explanation:
The unit rate means the value of ONE unit.
In this case, it would be the value of ONE pound of apples.
I divided 6 by 2, which gave me THREE.
A boy is launching a toy rocket he got for his birthday from the top of an 80 ft building. The function representing
the height is f(0) = -16x? +64x + 80 where x represents time in seconds.
How many seconds did it take the rocket to reach it's maximum height?
A
144 sec
B)
2 sec
Eliminate
1.5 sec
D)
128 sec
Answer:
2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2): f(h) = -16x^2 +64x + 80
Step-by-step explanation:
You can either graph the functuion or take the first derivative to find the maximum height. The first derivative will give us the slope for a values of x. The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.
First Derivative:
f(x) = -16x^2 +64x + 80
f'(x) = -32x + 64
Set this equal to zero and solve for x
0 = -32x + 64
x = 2 seconds.
Use 2 seconds in the original equation to find the height at 2 seconds.
f(2) = -16x^2 +64x + 80
f(2) = -16(2)^2 +64*(2) + 80
f(2) = 144 feet
Graph:
A graph is attached. You can locate the maximum at (2,144)
An Earth worm Moves at a
distance of 45cm in 90 secondo
find the speed of the earth
worm
(I need to know how to lay it out as well)
Answer:
if the units is in m/s
Step-by-step explanation:
first work out using this triangle.
distance= speed x by time
so if we're trying to find out the speed we reaarange the triangle to :
distance
---------------------
speed x time
so speed = distance divided by time
distance = 45cm
divided by time = 90 seconds
But the units are cm and should be metres per second
change 45cm to m
that is 45cm = 45/ 100 = 0.45
0.45/ 90= 0.005cm
answer = 0.005 metres per second( m/s)
plz say thanks + rate !
theres the picture i dont know how to write it out.
Answer:
x > -2
Step-by-step explanation:
As the circle in the number line is not filled, it will not include -2 and as the number line starts from -2 and goes right it will be x > -2.
Hope this helps!!
Marc has 45 books on his bookshelf, and Corinna has 61. If Marc buys 4 new books each month and Corinna buys 2 new books each month, after how many months will Marc and Corinna have the same number of books?
Define the variable:_________________________________________
Write the equation: _________________________________________
Solve the equation in the space below. Show your work
8x -2 + (4x - 1)(4x+1) = 0
Answer:
8x - 1 + 16x²
Step-by-step explanation:
8x - 2 + (4x - 1)(4x+1) = 0
=> 8x - 2 + 16x² + 4x - 4x - 1
=> 8x - 2 + 16x² - 1
=> 8x - 1 + 16x²
Therefore, 8x - 1 + 16x² is our answer
100 POINTS ANSWER QUICK
A sphere has a diameter of 9 inches.
What is the volume of the sphere rounded to the nearest tenth?
Use 3.14 for pi.
95.4 in³
381.5 in³
763.0 in²
3052.1 in³
Now
Volume=
4/3πr³4/3π(4.5)³121.5π381.5in³Option B
plsss help me again:((((
#carry on learning
Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 6
Answer:
c.
took the test
Step-by-step explanation: