If it snows tomorrow, the probability is 05 that John will practice his trombone. If it does not snow tomorrow, there is only a 0.6 chance that John will practice. Suppose the chance of snow tomorrow is 70%. What is the probability that John will practice his trombone?
Answer:
54 percent
Step-by-step explanation:
The final probability is a weighted average of the going to play probabilities determined for each weather scenario:
P(John performs cello; provided that it rains) * P(it rains) + P(it rains) + P(it rains) + P(it rains) + P(it rains) +
If it doesn't rain, P(John plays cello) * P(it doesn't rain) =
0.54 = 0.6 * 0.7 + 0.4 * 0.3
The likelihood is 54 percent.
An engineer is designing a fountain that shoots out drops of water. The nozzle from which the water is launched is 3 meters above the ground. It shoots out a drop of water at a vertical velocity of 14 meters per second. Function h models the height in meters, h, of a drop of water t seconds after it is shot out from the nozzle. The function is defined by the equation h(t)=−5t2+14t+3. How many seconds until the drop of water hits the ground?
Answer:
After 3 seconds
Step-by-step explanation:
Given
[tex]h(t) = -5t^2 + 14t + 3[/tex]
Required
Time the drop will hit the ground
When the drop hits the ground,
[tex]h(t) = 0[/tex]
So, we have:
[tex]0 = -5t^2 + 14t + 3[/tex]
Rewrite as:
[tex]5t^2 - 14t - 3 = 0[/tex]
Expand
[tex]5t^2 + t - 15t - 3 = 0[/tex]
Factorize
[tex]t(5t + 1) -3(5t + 1) = 0[/tex]
Factor out 5t + 1
[tex](t -3)(5t + 1) = 0[/tex]
Split
[tex]t -3 = 0[/tex] or [tex]5t + 1 = 0[/tex]
Solve for t
[tex]t = 3[/tex] or [tex]5t = -1[/tex]
Time cannot be negative.
So:
[tex]t = 3[/tex]
help me with this math question gr 8 math please
Answer:
C = 112, A = 150, D = 30, B = 38
Step-by-step explanation:
I solved C first using:
30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)
-
I solved A by looking across from C.
Angles on opposite sides should mirror each other but A includes 38* + C
Just by doing 112 + 38 you get 150.
-
I solved D by looking at 30*, alternative interior angles are the same so D is 30*.
-
I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.
Interior angles of a triangle should all add up to 180,
112 + 30 + B = 180
From this I got that B was 38.
Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.
I suggest reviewing this angles sheet if you're ever stuck in the future.
Answer:
C = 112, A = 150, D = 30, B = 38
Step-by-step explanation:
3(g + 4) = 9
Need help
Answer:
g=-1
Step-by-step explanation:
3(g+4)=9
Divide both sides by 3.
g+4= 9/3
Divide 9 by 3 to get 3.
g+4=3
Subtract 4 from both sides.
g=3−4
Subtract 4 from 3 to get −1.
g=−1
Answer:
3(g+4)=9
or, 3(g+4)/3=9/3 [Dividing both sides by 3.]
or, g+4=3
or, g+4-4=3-4 [Subtracting 4 from both sides.]
So, g=-1
Deandre wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Deandre
could trim trees?
E
Use t for the number of hours.
Write your answer as an inequality solved for t.
if 2f(x)-3f(1/x)=x^2 determine f(2)
The price of 7-minute phone call is $.105 What is the price of 18 -minute phone call?
The price of 18-minute phone call is $
Answer:
$.27
Step-by-step explanation:
.105/7*18
Evaluate the expression for a = 3, b = 4, and c = 6
a^3 - b + c
Answer:
3^3 - 4+6 = 17
Step-by-step explanation:
First you would do the exponents. 3 to the power of 3 (3^3) is 27.
Then you would add 4 and 6 (4+6) which will give you 10.
Finally, you would need to subract 10 from 27 (27-10) and you would get 17.
Hope this helps! :)
Answer:
29
Step-by-step explanation:
The expression is
a^3 - b + c
You just have to plug in the numbers, then evaluate,,
(3)³ - (4) + (6)
Let's start off with the exponent, so (3)³ = 3×3×3
3×3=9
9×3=27
Now, we have 27 - (4) + (6)
We have to get rid of the parenthesis so multiply the symbol next to it, - × 4 = -4, and + × 6 = +6. Now rewrite the equation.
27 - 4 + 6
27 - 4 = 23
23 + 6 = 29
Therefore, the answer its 29.
Hope this helps,
-Ketifa
factor completely;
3x^2+4x-7
Answer:
(3x-7) (x+1)
Step-by-step explanation:
3x^2 - 4x - 7
First split the middle term
3x^2 + 3x - 7x - 7
Make into two separate expressions
(3x^2 + 3x) (-7x-7)
Take out what you can
3x (x+1) -7 (x+1)
Now you have your answers
(3x-7) (x+1)
Can anyone help me with this?
Thank you
1. 3,6
2. 5,6
3. 4,5
(branliest will be appreciated and thanks)
Please help...My answer is close but not close enough..
No links :)
Answer:
76
Step-by-step explanation:
(5x3)+(5x3)=30
15-6=9
5x9=45
45+30=75
Since 76 is the closest to 75 it's 76
What is true about the slopes of lines that are perpendicular?
A They have opposite signs
B They are reciprocals of each other
C They have opposites signs and are reciprocals of each other
D They are exactly the same
Factorise using the sum and product method with all the steps!
British curriculum
No links or websites please !
Answer:
(2x+3)(x-5)
Step-by-step explanation:
Given the expression 2x²-7x-15
Factorize
2x²-10x+3x-15 =0
2x(x-5)+3(x-5)
(2x+3)(x-5)
Hence the factored form of the expression is (2x+3)(x-5)
HI thts way tooo much to answer but ye
It takes Lauren 13 minutes to walk 1 mile. How many miles can
Lauren walk in 52 minutes?
Answer:
4
Step-by-step explanation:
if it takes her 13 mins to walk 1 mile and we need to know how many miles she can walk in 52 mins than the equation for this word problem would be: 52÷13=4
Question 5 (1 point)
Find the volume of the figure below. Leave in terms of TT for answers that contain T. Round your answer to the nearest hundrednth if
necessary
7 ft
8 ft
10 ft
Оа
214.21 ft3
Ob
186.67 ft?
Ос
115.78 ft?
Od
560 ft3
Answer:
The volume of the shape is 560 ft^3
Step-by-step explanation:
To find the volume of the figure, we need to multiply the base area by the height of the figure
mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths
We have this as 8 ft * 10 ft = 80 ft^2
So multiplying this by the height which is 7 ft, we have this as;
7 ft * 80 ft^2 = 560 ft^3
A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meters per second, while the cat can run at a speed of 24 meters per second. How soon will the cat catch the dog if the cat starts running after the dog?
Answer:
I think after 1.6 s it Will catch the dog
Susie begins a new program with 600 m on the first day each day she will increase her walk by 200 m how many kilometres will she walk on day 18 of her program
Answer: Susie walked 4000 kilometers on day 18 of her program
Step-by-step explanation:
The question explains an arithmetic progression of Susie's walk program
Now the nth term of an AP is given as
an = a1 + (n - 1 ) d
a1 =First term = 600 m
common difference , d =200
The 18th day of her program will be
a18 = 600+ (18 - 1 ) 200
a18 = 600+ 17 x200
a18 = 600+3,400
a18 = 4000
An airplane altitude in feet during its descend can be found using the function f(x)=-200x+20,000. After new government regulations become law the descent is now modeled by the function g(x)=-200x+20,500. Which statement describes the change?
Answer:
The airplane starts its descent from an altitude 500 feet higher.
Step-by-step explanation:
Given that:
F(x) = - 200x+20,000
g(x) = -200x+20,500
The functions are written in slope intercept format :
With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :
The slope is -200 ; which means that the descent rate of the airplane is 200
The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.
Given that f(x) = 3x ^ 3 + x - 1 evaluate the function f(- 2)
Answer:
-27
Step-by-step explanation:
3(-2)³-2-1 =
3(-8)-3 =
-24-3=-27
The area of a rectangle if the length is 5 more than 4 times the width, what's the algebraic expression for this question
The area of a rectangle if the length is 5 more than 4 times the width, the algebraic expression for this is, A = (4b + 5) × b
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Given that,
The length is 5 units more than 4 times the width
Suppose,
length = l
width = b
So, according to given condition
l = 4b + 5
Now, the area for rectangle is
A = length × width
A = l × b
A = (4b + 5) × b
Hence, the algebraic expression is (4b + 5) × b
To learn more about Area check:
https://brainly.com/question/16151549
#SPJ2
answer asap no wrong answer ~-~
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The radius of the circle, r = 8 cm
The area of the sector, [tex]A=56\pi \ cm^2[/tex]
We need to find the measure of the sentral angle. The formula for the area of a sector is given by :
[tex]A=\dfrac{1}{2} r^2\theta[/tex]
Where
[tex]\theta[/tex] is the central angle
Substitute all the values,
[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]
So, the correct option is (b).
Determine if the expression 9y^5+ y − 3y^3is a polynomial or not. If it is a
polynomial, state the type and degree of the polynomial.
PLEASE HELP! I WILL MARK BRAINLIEST AND IM GIVING OUT AS MANY POINTS AS I CAN!!
Answer: Answer to 13 is 16 as it is 81+ days. Answer 14 is 16/50 which is 32 percent The median on 15 is the 6th value and the minimum value is the smallest number in the sequence provided. The lower quartile is the 3rd number in the sequence but you need to put them from smallest to largest. The upper quartile is the 9th number in the sequence. The maximum value is the biggest number in the sequence
Step-by-step explanation:
Determine if each pair of triangles is congruent. If so, write the congruence
statement and explain how you know the triangles are congruent.
Answer:
top one, yes. by the SSS theorem
bottom one, no. The bases are not congruent
Step-by-step explanation:
What is the equation of the line?
Answer:
y = 4
Step-by-step explanation:
please help! will give brainliest. review the graph of function h(x). what is lim x-2 h(x), if it exists
Answer:
the answer is 0 or a
The sum of two numbers is 52 and the difference is 16. What are the numbers?
Answer:
18
Step-by-step explanatio:a 52 le quitas la diferencia de 16 y da 36 que lo divides entre 2 y es 18 por lo que 18+18=36+16=52
Step-by-step explanation:
[tex]here \: is \: your \: solution \\ \\ let \: the \: first \: number \: be \: x \\ \\ let \: the \: second \: number \: be \: y \\ \\ now \: according \: to \: question \\ \\ x + y = 52 \\ \\ and \: x - y = 16 \\ \\ now \: add \: both \: equation \\ \\ we \: will \: get \: \\ \\ 2x = 68 \\ \\ x = 68 \div 2 \\ \\ x = 34 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 34 + y = 52 \\ \\ y = 52 - 34 \\ \\ y = 18 \\ \\ x = 34 \: and \: y = 18 \\ \\ hope \: it \: helps[/tex]
please help! ASAP!!!!
Answer:
Part A) 2(n/6) - 9
Part B) the expression would change to 2(n/6) + 9 if it said 'more than'
Step-by-step explanation:
If you multiply 2 xr you will get the ....?
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Solve for x.
One side = 10
Another side = 9
One side = x
(It's a right triangle.)
Answer:
x = 4.3588989435406
I hope it's helps you