A company is considering purchasing the mineral rights to two different mountains. The probability that it will purchase the mineral rights to the first mountain is 0.55. The probability that it will purchase the mineral rights to the second mountain is 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, what is the probability that it will purchase the mineral rights to exactly one of the two mountains?
a. 0.4
b. 0.45
c. 0.51
d. 0.49
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
1. Write the following statements in the from of equations. a. One third of a number plus 7 is 26
pls tell step by step
Answer:
1/3x+7=26
Step-by-step explanation:
1/3 of a number which could anything so mark as X
add 7
equals 26
1/3x+7=26
What is the Answer for
y=2+frac{1+x}{1-2x}
Answer:
[tex]x=\frac{y-3}{2y-3}[/tex]
Step-by-step explanation:
[tex]y=2+\frac{1+x}{1-2x}[/tex]
First, subtract 2 from both sides:
[tex]y-2=\frac{1+x}{1-2x}[/tex]
Multiply both sides by (1 - 2x):
[tex]y-2(1-2x)=1+x\\y-2xy-2+4x=1+x[/tex]
Subtract 1, subtract x, and add 2xy to both sides:
[tex]y-3+3x=2xy[/tex]
Subtract 3x from both sides:
[tex]y-3=2xy-3x[/tex]
Factor out the x:
[tex]y-3=x(2y-3)[/tex]
Finally, divide both sides by (2y-3):
[tex]x=\frac{y-3}{2y-3}[/tex]
Keep in mind that this is undefined at y=1.5. The original equation is also undefined at 0.5.
What’s the answer to 2/3 -1/2
the answer is 1/6 bbbbbbbbb
Step-by-step explanation:
bring both fractions to the same denominator (bottom number). then we can readily compare our add or subtract them.
what is the snaked common multiple of 2 and 3 (the smallest number that can be divided without remainder by both numbers)?
it is 6 (in case of doubt simply multiply both numbers and use the result as common denominator).
so, we need to bring both to fractions in the form .../6.
2/3 = 4/6
1/2 = 3/6
so,
4/6 - 3/6 = 1/6
and that is the answer to the original question.
There are 10 pink cars, 12 blue cars and 8 yellow cars in the parking lot.
What is the ratio of yellow cars to the total number of cars in Erica’s toy box?
Show work
4: 15
15 : 4
5 : 4
2 : 3
Answer:
4 : 15
Step-by-step explanation:
total cars = 10 + 12 + 8 = 30 , then
yellow : total
= 8 : 30 ( divide both parts by 2 )
= 4 : 15 ( in simplest form )
Answer:
4 : 15 is the correct answer.
Step-by-step explanation:
10+12+8 is 30. 8 cards are yellow so 8/30 simplified is, 4 : 15.
Hallar el área lateral de un cilindro que tiene de radio de la base 10 cm y de altura 5 cm.
Answer:
942.48
Step-by-step explanation:
I’m so confused on how to do this -?
Answer:
256
Step-by-step explanation:
any number to the 0 power equals 1, so r^0 equals 1
then, you have (4(1))^4
4×1=4
4^4=256
Answer:
3328
Step-by-step explanation:
13(4r^0)^4=13*44= 13*(4
*
4
*
4
*
4
)
=
3328
Which set of ordered pairs does not represent a function?
O {(-7, -8), (-7,5), (-6,0),(-1,8)}
O {(-2,4), (6,-5), (-6, -9), (1, -5)}
{(8, -2), (3,9), (-1, -5), (-3,9)}
{(9,7), (2,7), (-8, -3), (-1,1)}
Answer:(-7, -8), (-7,5), (-6,0),(-1,8)
Step-by-step explanation:
Functions are relations with one output (y) for any unique input (x).
The first set has two values of y when x = -7: -8 and 5.
The other sets have unique values for each x.
question in doc below .
The answer is:
y=2x+3
THE FIRST ONE TO GET IT CORRECT GETS 100 POINTS PLEASE
Answer:
B should be correct
Step-by-step explanation:
hope this helped
mark me brainliest
plus... this aint no 100 points... just such a scam...
i just did it cause i help ppl. i dont look at points...
Answer:
Your answer would have to be the last one ( [tex]a^{-7}[/tex]).
Step-by-step explanation:
Hope this helps!
5) How would you break down 40% to find 40% of a number? Check all
that apply.
2 points
4(10%)
2(25%)
10% + 10% + 10% + 10%
25% + 10%
50% + 10% + 10%
Answer:
(A) and (C)
Step-by-step explanation:
4(10%) and 10%+10%+10%+10%+
Answer:
4(%10) = 40%
and
10% + 10% + 10% + 10% = 40%
The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?
Step-by-step explanation:
sorry for my ugly handwriting, hope it helps
A swimming pool started with 24 gallons
of water. It is filled with 2,000 gallons
per hour. If there are now 4,850
gallons of water in the swimming pool,
how many hours has it been filling up
with water?
Answer:
3 hours
Step-by-step explanation:
each hour is 2,000 gallons filled up 1 hour = 2,000
2 hours = 4,000
3 hours = 6,000or 4,850
If the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.
How many hours has the swimming pool been filling up with water?Given that;
24 gallons of water in the pool to start withThe swimming pool is filled with 2,000 gallons per hourTime taking in filling up 4,850 gallons.The pool is filled with 2,000 gallons in 1 hour
To fill with 4850 gallons, we require x hours
Cross multiply, hence;
x = ( 1hr × 4850 gallons ) / 2,000 gallons
x = 4850hrs / 2000
x = 2.4 hours
Therefore, if the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.
Learn more word problems here: brainly.com/question/2610134
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Anayah is baking cookies. Each batch of cookies that she makes contains 2/3 cups of flour. Anayah wants to make 10 batches of cookies. How much flour will she need in total for all of the batches?
Answer:
6 2/3
Step-by-step explanation:
10* 2/3
20/3
which is 6 2/3
Find the value of each expression.
A) 3√9-16
B) -7√0.36+5.4
[tex]3 \sqrt{9} - 16 = ... \\ = 3(3) - 16 = 9 - 16 \\ = \bold{ - 5}[/tex]
[tex] \: [/tex]
B.)[tex] - 7 \sqrt{0.36} + 5.4 = ... \\ = - 7(0.6) + 5.4 = - 4.2 + 5.4 \\ = 5.4 - 4.2 = \bold{1.2}[/tex]
WHAT IS THE VALUE OF 4^3
4 AND A SMALL THREE IN THE RIGHT CORNER
THE AWNSER CHOICE
12
16
43
64
IF AWNSER NOT KNOW COMMENT BELOW IG.,...
Answer:
The answer is 64
Step-by-step explanation:
When you are dealing with exponents you have to multiply the main number as many times as the exponent number. [tex]4^{3}[/tex]
In this case, you multiply 4 three times
[tex]4*4 = 16\\16*4=64[/tex]
Hiep is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning coordinates as given, where RS¯¯¯¯¯ is the midsegment of trapezoid KLMN. Trapezoid K L M N on the coordinate plane. The vertices of the trapezoid are K begin ordered pair 0 commas 0 ends ordered pair, L begins ordered pair 2a comma 0 end ordered pair, M begin ordered pair 2d comma 2c end ordered pair, and N begin ordered pair 2b comma 2c end ordered pair. Segment R S is drawn with point R on segment K N and point S on segment L M. Drag and drop the correct answers to complete the proof. Since RS¯¯¯¯¯ is the midsegment of trapezoid KLMN, the coordinates of R are (b, Response area) and the coordinates of S are (, c). The slope of KL¯¯¯¯¯ is the Response area. The slope of RS¯¯¯¯¯is 0. The slope of NM¯¯¯¯¯¯¯ is 0. The slope of each segment is 0; therefore, the midsegment is parallel to the bases. choices - a, b,c,d a+d, 0, 1, 2
Step-by-step explanation:
boy, that is hard to decipher ...
but from what I understood after a while of reading and re-reading, the proof is based on the equal slope (0) of all 3 lines showing that all 3 lines are parallel.
remember, the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, going from N to M :
x changes by (2d - 2b) units.
y changes by 0 units (2c to 2c).
so, the slope of NM is 0/(2d - 2b) = 0.
going from K to L :
x changes by (2a - 0) = 2a units.
y changes by 0 units (0 to 0).
so, the slope of KL is 0/2a = 0.
R and S are the middle points between K and N, and between L and M.
R = ((2b+0)/2, (2c+0)/2) = (b, c)
S = ((2d + 2a)/2, (2c + 0)/2) = ((d+a), c)
so, going from R to S :
x changes by (d+a-b) units.
y changes by 0 units (c to c).
so, the slope of KL is 0/(d+a-b) = 0.
as all 3 slopes are equal (and with being 0 also parallel to the x-axis), this proves that the line RS is parallel to its bases.
Hope I helped! Have a nice day! Really hope this helps k12 students!
Please answer quick !! (show work too) Thank you!
Mrs. McDonnell makes $30 an hour. Today she
worked 5 hours. In addition, she earned 28% of the
$800 in socks that she sold. How much total did you
make for the day?
Here u go
Answer:
$374
Step-by-step explanation:
She makes $30 per hour, today she worked 5 hours =) 30.5=150 ($)
28% of $800 = 28/100 . 800 = 224 ($)
Total: 150+224 = 374 ($)
X(squared) + 16x +60=0
Solving quadric equations by factorising
Answer:
x = - 10, x = - 6
Step-by-step explanation:
x² + 16x + 60 = 0
Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- ter (+ 16)
The factors are + 10 and + 6 , since
10 × 6 = 60 and 10 + 6 = 16 , then
(x + 10)(x + 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 10 = 0 ⇒ x = - 10
x + 6 = 0 ⇒ x = - 6
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 31 minutes of calls is $20.97, and the remaining credit after 50 minutes of calls is $18.50. What is the remaining credit after 54 minutes of calls?
Answer:
The credit remaining on a phone card (in dollars) is a linear function of the
total calling time made with the card (in minutes), as shown in the figure below.
The remaining credit after 45 minutes of calls is $22.80 , and the remaining
credit after 64 minutes of calls is $19.76.
Step-by-step explanation:
What is the remaining credit after 73 minutes of calls?
;
Not sure what figure you are referring to, write an equation from the given values:
Assign the values as follows
x1 = 45; y1 = 22.80
x2 = 64; y2 = 19.76
:
Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29
m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29
m = -.16
:
Anyone know the answer? Guys help plzzzz
Answer:
[tex]\displaystyle w = 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/Coefficients
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify equation.
[tex]\displaystyle -5 = \frac{w - 11}{2}[/tex]
Step 2: Solve for w
[Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle -10 = w - 11[/tex][Addition Property of Equality] Add 11 on both sides: [tex]\displaystyle 1 = w[/tex]Rewrite: [tex]\displaystyle w = 1[/tex]help please!!!!!!!!!
Answer:
c
Step-by-step explanation:
my mom had a abortion when i was 6
what is the difference of 256,805+136,667
Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(3.5, 8.2) and (2, 7.3)
a.
y = negative 0.6 x minus 6.1
b.
y = 0.6 x minus 6.1
c.
y = negative 0.6 x + 6.1
d.
y = 0.6 x + 6.1
Answer:one way is to simply use slope intercept form or point slope form
point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)
slope intercept: y=mx+b where m=slope and b=yintercept
slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)
we are given
(3.5,8.2) and (2,7.3)
slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6
slope=0.6 or 6/10
point slope
use any point
y-y1=m(x-x1)
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides
take first one
y-7.3=0.6(x-2)
y-7.3=0.6x-1.2
add 7.3 both sides
y=0.6x+6.1
equation is
POINT SLOPE FORM:
y-7.3=0.6(x-2) or
y-8.2=0.6(x-3.5)
SLOPE INTERCEPT FORM:
y=0.6x-6.1
Step-by-step explanation:
need sever help with number 4 , pls explain
Answer:
1. 35
2. 65
3. 10
4. 115
5. 65
6. 55
7. 125
Step-by-step explanation:
triangles add up to 180 with all 3 sides
Answer:
115°
Step-by-step explanation:
Vertically opposite angles are equal.
IF F(x) is ax + x² – 152-18
as show that F(3)=0
(
b) Find the factors of F(x).
[tex]x = 3[/tex]
[tex]a(3) \: + \: 3 {}^{2} - 152 - 18[/tex]
[tex]3a \: + \: 9 \: - 134[/tex]
[tex]3a \: - 134 + 9[/tex]
[tex]3a - 143[/tex]
Step-by-step explanation:
Hope this helps you XD ✌️Carry on learning !!Write the slope-intercept form of the equation of each line given the slope and y-intercept.
6) Slope = -3, y-intercept = 3
7) Slope = -4, y-intercept = 5
Answer:
6) y= -3x+3
7) y= -4x+5
Step-by-step explanation:
In a right triangle one angle is 55° and the hypotenuse is 20 mm which expression will give you the correct length in millimeters of the leg adjacent to the 55° angle?
Answer:
D 20cos55º
Step-by-step explanation:
cos = adj/hyp
cos55 = adj/20
20cos55 = adj
PLZ HELP ITS TIMED AND IM STUCK
3. option d
2. option a
5. option f
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
letter D
thank me later....