Answer:
3
Step-by-step explanation:
first you add 5 + 3 = 8 then 24 divided by 8 = 3
When a six sided die is rolled then what is the probability that the number
rolled will be four?
Answer:1/6
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
There are six numbers in total on the die.
Numbers ( 1 - 6 )
The number 4 appears only once on the die.
[tex]\frac{\text{preferred outcome}}{\text{total outcomes}} =\frac{1}{6}[/tex]
There is a 1/6 chance that the die would land on a four.
Hope this helps.
Expand and simplify (x-3)(2x+1)(x+1)
Answer: x(2x=1)(x+1)-3(2x+1)(x+1)
Step-by-step explanation:
calculate and express your answers for each of the following in decimal form
Answer:
What's the Following?
Step-by-step explanation:
Xavi wants to measure the impact of using water for irrigation on a stream's flow rate. The flow rates both
upstream and downstream of the irrigation point are normally distributed,
For each location, Xavi selects a random time each month and measures the flow rate in liters per second.
After he has 12 samples per location, he will look at the difference (upstream - downstream) in their
sample means
What do we know about the shape of the sampling distribution of WU - ip, and why?
Answer:
exactly normal
Tafu is working with subatomic particles in the Physics lab. A positron is traveling in a straight line down the particle accelerator. Tafu models its position with the function
p(t)= t^2/t – 1
(g) Find a time t>1 when the positron's instantaneous velocity is zero
(h) Where is the positron located at the time you found in (g)
Answer:
g) 2 h) 4
Step-by-step explanation:
g) The time t when the instantaneous velocity of the positron is zero is;
t = 2
h) The location of the positron at the time of t = 2 is;
p = 4.
g) We are told that the function that models the position of the sub atomic particles is;
p(t) = t²/(t - 1)
Instantaneous velocity is simply the derivative of the distance with respect to time.
Thus, Instantaneous velocity is gotten by using online differentiation calculator to get; dp/dt = [2t/(t - 1)] - [t²/(t - 1)²]
When Instantaneous velocity is zero, we have;
[2t/(t - 1)] - [t²/(t - 1)²] = 0
Rearranging to get;
[2t/(t - 1)] = [t²/(t - 1)²]
Cross multiply to get;
2t(t - 1)² = t²(t - 1)
divide both sides by t to get;
2(t - 1)² = t(t - 1)
Expand the bracket to get;
2(t² - 2t + 1) = t² - t
2t² - 4t + 2 = t² - t
Rearrange to get;
t² - 3t + 2 = 0
Using online quadratic equation solver gives;
t = 1 or 2
We are told that t > 1
Thus, we will adopt t = 2
h) At t = 2 seconds gotten in g above, the positron is located at;
p(2) = 2²/(2 - 1)
p(2) = 4
Read more at; https://brainly.com/question/2020753
Charlie boils seven eggs for his breakfast. He puts the eggs into the pan one at a time, but waits one minute after putting one egg in before putting the next egg in. If he boils each egg for three minutes, how long does the whole operation take from the moment he puts the first egg in to the moment he takes the seventh egg out?
Answer: 27 minutes
Step-by-step explanation:
Please I need help to complete this table please
Answer:
1+4+7
2+4+6
3+4+5
Step-by-step explanation:
Answer:
6+4+2=12 5+4+3 =12
Step-by-step explanation:
30% of Americans will fall asleep before midnight. For every 500 Americans, about how many will be sleeping before the New Year?
Answer: 150
Step-by-step explanation:
30% = 0.3
100-30=70
70% = 0.7
0.7 X 500 = 350
500-350 = 150
For every 500 Americans, the number of people fall asleep before the New Year is, 150
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
30% of Americans will fall asleep before midnight
For every 500 Americans, about how many will be sleeping before the New Year?
Percentage = num. of people fall asleep in sample/Total people in sample ×100
30 = N/500×100
N = 150
Hence, the number of people fall asleep is 150
To know more about Percentage check:
https://brainly.com/question/29306119
#SPJ1
A survey was done in Ms. G's class regarding students preferred type of pizza.
She has 80 students in her classes.
3/4 of them prefer cheese pizza.
How many prefer cheese pizza?
3/4 of 80 = 60.
First off let's start with 1/4 of 80.
80/4 = 20.
But the question asks for 3/4 and that’s three times more than 1/4 so you multiply 3 to 20.
20*3 = 60.
So your answer is 60.
BRAINLIEST
Help please, look at the image for the problem. leave explanation for brainliest.
Step-by-step explanation:
I dunno how to explain but the answer is 15 inches
1 20 points Which expression is equivalent to 8 + 20? 2(6 + 13) 4(4 + 20) ОООО 4(2 + 5) 2(2 + 10)
Solve for t
s = 5k + 10
Answer:
Step-by-step explanation:
s = 5k + 10
-10 -10
___________
-10 + s = 5k
divided by 5
_________
-2 + s = k
-2 -2
_________
s = k -2
not sure how im sopposed to solve for t when it wasn't in the equation but here's what I got.
95°
60°
29
o
X =
Plzzzz I need this
Answer:
x=95
Step-by-step explanation:
They are vertical angles
including the phones tablets and cloud, how many total bits of storage does the family have al together
Answer:
650,000,000
Step-by-step explanation:
6.5x10^8
Share $54 among 3 girls in the proportion 11:5:2
Answer: $54 / 3 = $27 for each girl
Step-by-step explanation:
Answer:
33 : 15 : 6
Step-by-step explanation:
There were 60 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 4/5 of the remaining runners dropped out. How many runners finished the race?
Answer:
08 runners finished the race.
Step-by-step explanation:
Given that:
Number of runners at the race = 60
Number of runners dropped in first half = 1/3 of 60
Number of runners dropped in first half = [tex]\frac{1}{3}*60 = 20[/tex]
Remaining runners = 60 - 20 = 40
Number of runners dropped in second half = 4/5 of 40
Number of runners dropped = [tex]\frac{4}{5}*40 = 32[/tex]
Runners left = 40 - 32 = 08
Hence,
08 runners finished the race.
mikayla has 90 minutes to answer 36 questions on a school survey. how many minutes per question does she have ?
Solve for k, please!
2(k − 5) = 12
Answer:
k = 11
Step-by-step explanation:
Expand brackets
2k - 10 = 12
add 10 on both sides
2k = 22
divide both sides by 2
k = 11
Please help ASAP !! Via the photo below
Answer:
y-3 = -4 (x-1)
Step-by-step explanation:
y= -4x - 5
In slope-intercept form, they give us the slope, -4, and the y-intercept, -5 (we don't need for point-slope form).
Use the point (1,3) and substitute it into the equation.
Point-slope form: y-y1 = m(x-x1)
y-3 = -4 (x-1)
19. An aircraft maintaining a constant airspeed of 525 MPH is headed due south. The jet stream is
120 MPH in the northeasterly direction.
a. Sketch the scenario on the x-y axis.
b. Express the velocity of the plane relative to the air as a vector.
c. Express the velocity of the jet stream as a vector.
d. Find the velocity of the plane relative to the ground.
Find the actual speed and direction of the plane relative to the ground. Round to the
tenths.
e.
Answer:
a. Sketch is given in the attachment
b. [tex]V_{p}[/tex] = (0,-525)
c. [tex]V_{w}[/tex] = ([tex]\sqrt{2}[/tex],[tex]\sqrt{2}[/tex])
d. [tex]V_{g}[/tex] = (60[tex]\sqrt{2}[/tex], 60[tex]\sqrt{2}[/tex] - 525)
e. Actual Speed = |[tex]V_{g}[/tex]| = 448.3 MPH
Direction = Ф = - 79.1°
Direction = Ф = 280.9° with respect to x - axis.
Step-by-step explanation:
a. Sketch the scenario on the x-y axis.
Where,
Velocity of the plane relative to air = [tex]V_{p}[/tex]
Velocity of the jet stream = [tex]V_{w}[/tex]
Velocity of the plane relative to ground = [tex]V_{g}[/tex]
Solution:
Note: Solution is given in the attachment. Please refer to the attachment for the sketch.
b. Express the velocity of the plane relative to the air as a vector.
Solution:
[tex]V_{p}[/tex] = |[tex]V_{p}[/tex]| cosФi + |[tex]V_{p}[/tex]| sinФj
where,
|[tex]V_{p}[/tex]| = magnitude of the vector.
|[tex]V_{p}[/tex]| = 525 MPH
Ф = 270° w.r.t to x - axis. (See the sketch in the attachment)
[tex]V_{p}[/tex] = |[tex]V_{p}[/tex]| cosФi + |[tex]V_{p}[/tex]| sinФj
Plug in the values into this equation to express it in the vector form as required.
[tex]V_{p}[/tex] = (525) cos270i + (525) sin270j
As, Cos270 = 0
and
Sin270 = -1
So,
[tex]V_{p}[/tex] = (525) (0)i + (525) (-1)j
[tex]V_{p}[/tex] = 0i -525j
[tex]V_{p}[/tex] = (0,-525)
c. Express the velocity of the jet stream as a vector.
Solution:
Velocity of the jet stream as a vector.
[tex]V_{w}[/tex] = |[tex]V_{w}[/tex]| cosФi + |[tex]V_{w}[/tex]| sinФj
where,
|[tex]V_{w}[/tex]| = magnitude of the vector.
|[tex]V_{p}[/tex]| = 120 MPH
Ф = 45° (See the sketch in the attachment)
[tex]V_{w}[/tex] = |[tex]V_{w}[/tex]| cosФi + |[tex]V_{w}[/tex]| sinФj
Plug in the values into this equation to express it in the vector form as required.
[tex]V_{w}[/tex] = (120) cos45i + (120) sin45j
As, Cos45 = [tex]\frac{1}{\sqrt{2} }[/tex]
and
Sin45 = [tex]\frac{1}{\sqrt{2} }[/tex]
So,
[tex]V_{w}[/tex] = (120) ([tex]\frac{1}{\sqrt{2} }[/tex])i + (120) ([tex]\frac{1}{\sqrt{2} }[/tex])j
[tex]V_{w}[/tex] = 60[tex]\sqrt{2}[/tex]i +60[tex]\sqrt{2}[/tex]j
[tex]V_{w}[/tex] = ([tex]\sqrt{2}[/tex],[tex]\sqrt{2}[/tex])
d. Find the velocity of the plane relative to the ground.
Solution:
Velocity of the plane relative to the ground = Sum of velocity of plane relative to the air and velocity of the jet stream
[tex]V_{g}[/tex] = [tex]V_{p}[/tex] + [tex]V_{w}[/tex]
[tex]V_{g}[/tex] = 0i -525j + 60[tex]\sqrt{2}[/tex]i +60[tex]\sqrt{2}[/tex]j
[tex]V_{g}[/tex] = 60[tex]\sqrt{2}[/tex]i + 60[tex]\sqrt{2}[/tex] - 525j
[tex]V_{g}[/tex] = (60[tex]\sqrt{2}[/tex], 60[tex]\sqrt{2}[/tex] - 525)
e. Find the actual speed and direction of the plane relative to the ground. Round to the tenths.
Solution:
Actual Speed = |[tex]V_{g}[/tex]| = magnitude of the velocity of the plane relative to the ground.
Actual Speed = |[tex]V_{g}[/tex]| = [tex]\sqrt{(60\sqrt{2}) ^{2} + (60\sqrt{2}-525) ^{2} }[/tex]
Actual Speed = |[tex]V_{g}[/tex]| = 448.3 MPH
Direction = Ф = [tex]tan^{-1}[/tex] ([tex]\frac{60\sqrt{2}-525 }{60\sqrt{2} }[/tex])
Direction = Ф = - 79.1°
To find out the direction with respect to x - axis.
Direction = Ф = 360 - 79.1
Direction = Ф = 280.9°
(PLEASE HELP ASAP)
Find the measure of angle
Answer:
It would be 58 degrees
Step-by-step explanation:
Hope it helps :)
Problem 3
Determine the area of the shaded region.
Answer: i will answer dont worry but wheres the shaded regoin
Step-by-step explanation:
i will type the real answer in the comments below
A line passes through (7, -4) and (-3,4).
(NVM I FIGURED IT OUT)
Given :
Two points (7,-4) and (-3,4).
To Find :
The equation of line passes through the given points.
Solution :
We know, equation of line passing through two points (x₁, y₁) and (x₂, y₂) is given by :
[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})(x-x_1)\\\\y-(-4) = (\dfrac{4-(-4)}{-3-7})(x-7)\\\\y+4 = -\dfrac{4}{5}(x-7)\\\\5y+ 20 = -4x + 28\\\\5y + 4x = 8[/tex]
Therefore, equation of required line is 5y + 4x = 8.
plz help i need help thank you
Answer:
I am not the person to answer this question but the answer is B or74/3
ken has saved $120 in the bank account. Do the following situations leaves ken with a balance of $0
A 750ml bottle of highland.Spring Water cost $0.96.Work out the cost per litre when bought in this way
Answer:
$1.28 per liter
Step-by-step explanation:
750ml/1 L = .75
.96/.75 = 1.28
Divide and simplify. Assume that all variables are positive.
Answer:
[tex]2y\sqrt{2x}[/tex]
Step-by-step explanation:
For this we have to divide like normally but for the exponents we will subtract them since this is a division problem. We would've added them if we were multiplying.
[tex]\frac{\sqrt{32x^5y^8}}{\sqrt{4x^4y^6}}=\sqrt{8xy^2}[/tex]
Now we will split the 8 into 4 and 2. Also we can take the square root of y² while we're at it.
[tex]y\sqrt{4}\sqrt{2x}[/tex]
Now we take the square root of 4.
[tex]2y\sqrt{2x}[/tex]
Five years ago the population of Washington was 0.7 million. It has now grown by 165 000.
What is the population now?
Answer:
The Population is 865000
Step-by-step explanation:
0.7 Million is equal to 700,000
700,000 + 165,000=865000
HELP I DONT UNDERSTAND OR MAYBE I DO BUT IM YK I JUST NEED HELP PLEASE
Answer:
9/16
Step-by-step explanation:
;)
Answer:
-0.5625
Step-by-step explanation:
-0.75 x 0.75 = -0.5625
What is the square route of 16?
Answer:
4
Step-by-step explanation:
4² = 16
