This kind of problems are solved using Bernoulli's distribution. Everytime you have a win/lose scenario, and you know the probability [tex] p[/tex] of winning, and you want [tex]k[/tex] successes over [tex]n[/tex] trials, you have the following probability:
[tex]\displaystyle P(k\text{ successes over }n\text{ trials}) = \binom{n}{k}p^k(1-p)^{n-k} [/tex]
You want the probability of having at least three successes, i.e. you are interested in the cases k=3 and k=4. The corresponding probabilities are
[tex]\displaystyle P(3 \text{ successes}) = \binom{4}{3}0.6^3 \cdot 0.4 = 4\cdot 0.216 \cdot 0.4 = 0.3456[/tex]
[tex]\displaystyle P(4 \text{ successes}) = \binom{4}{4}0.6^4 = 0.1296 [/tex]
So, the total probability is [tex] 0.3456+0.1296 = 0.4752[/tex]
An elevator ascends at a rate of 29.6 feet per second. If a building is 1,450 feet tall, about how long would it take for the elevator to travel from the ground floor to the roof
Answer:
49 seconds.
Step-by-step explanation:
We have been given that an elevator ascends at a rate of 29.6 feet per second. A building is 1,450 feet tall. We are asked to find the time it will take for the elevator to travel from the ground floor to the roof.
To find the time taken by elevator to reach the top of the building, we will use rate formula.
[tex]\text{Time}=\frac{\text{Distance}}{\text{Rate}}[/tex]
[tex]\text{Time}=\frac{\text{1450 ft}}{\frac{\text{29.6 feet}}{\text{second}}}[/tex]
[tex]\text{Time}=\frac{\text{1450 ft}}{\text{29.6 feet}}\times\text{second}[/tex]
[tex]\text{Time}=48.986486\times\text{second}[/tex]
[tex]\text{Time}\approx 49\text{ seconds}[/tex]
Therefore, it will take approximately 49 seconds for the elevator to travel from the ground floor to the roof.
witch operation flips the graph of a function over the x axis
If we put a negative sign in front of our function, it will flip the function over the x-axis.
Answer:
multiplying the function by -1.
Step-by-step explanation:
Use the distributive property to factor the expression below.
5x^2 + 25
A. 5x(x + 5)
B. x(5x+ 25)
C. 5(x^2 + 25)
D. 5(x^2 + 5)
factor out the five
5(x^2+5) D
During one week, the stock market did the following: Monday rose 18 points, Tuesday rose 31 points, Wednesday dropped 5 points, Thursday rose 27 points and Friday dropped 38 points. If it started out at 1196 on Monday, what did it end up on Friday?
Answer: the answer is easy enough
Ur answer is 1,229
Step-by-step explanation:
Ok it’s simple u start with 1196 then u just need to add add and subtract as so
Monday: 1196+ 18=1,214
Tuesday: 1,214+31=1,245
Wednesday: 1,245-5=1,240
Thursday: 1,240+27=1,267
Friday: 1,267-38=1,229
So therefore it is 1,229
Answer: It ended at 1229 on Friday.
Step-by-step explanation:
Given : During one week, the stock market did the following: Monday rose 18 points, Tuesday rose 31 points, Wednesday dropped 5 points, Thursday rose 27 points and Friday dropped 38 points.
In integers , we use (+) for rise in quantity and (-) for drop in quantity.
If it started out at 1196 on Monday, then
On Friday = 1196 +18 +31-5+27-38 = 1229 [we use (+) for rise in quantity and (-) for drop ]
Hence, it ended at 1229 on Friday.
The price of dress fabric is proportional to the length of fabric purchased. The graph shows this relationship.
What is the unit rate for the price to the length of the fabric?
Enter your answer in the box
$___/m
Answer:
The unit rate for the price to the length of the fabric will be $8 per meter.
Step-by-step explanation:
The two points on the graph of the line are: (1, 8) and (3, 24)
For finding the unit rate for the price to the length of the fabric, we just need to find the slope of that line.
Formula for finding the slope is: [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] , where [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] are two given points.
Here, [tex](x_{1}, y_{1})=(1,8)[/tex] and [tex](x_{2}, y_{2})=(3, 24)[/tex]
So, the slope of the line will be: [tex]m= \frac{24-8}{3-1}= \frac{16}{2}= 8[/tex]
Thus, the unit rate for the price to the length of the fabric will be $8 per meter.
The unit rate for the price to the length of the fabric is $8/m
What is the unit rate for the price to the length of the fabric?from the question, we have the following parameters that can be used in our computation:
The graph
The unit rate is calculated as
Unit rate = Change in y/x
using the above as a guide, we have the following:
Unit rate = (24 - 8)/(3 - 1)
Evaluate
Unit rate = 8
Hence, the unit rate is $8/m
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The product of 15 and a number all divided by two
The expression which represents the product of 15 and a number all divided by two is (15x)/2.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
The product of 15 and a number are all divided by two.
Suppose that number is x.
Product of 15 and x = 15 × x = 15x
It is divided by 2 ⇒ (15x)/2
Hence "The expression which represents the product of 15 and a number all divided by two is (15x)/2".
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is -1/3 - 4/5 positive, negative,or zero
It's not zero. Zero can only be produced in adding or subtracting when two equal numbers with opposite signs are added or subtracted. -4 + 4 would give 0. Really tricky things like - 5 - (- 5) would be 0 because the 2 minus signs would give a plus.
-5 + 5 = 0
It's not positive either. Think money. If you owe someone 5 dollars and you put another 6 dollars on a credit card, your net worth isn't going up into the positive. It going down further into the negative. You wouldn't be alone. The US government does this every day. -5 - 6 = - 11
So - 1/3 - 4/5 is negative.
The answer is (though you haven't asked for it)
- 5/15 - 12/15 = - 17/15
The quotient of a number divided by 8 increased by 2 is 12
the length of a rectangle is 9 inches less than twice the width. if the perimeter of the rectangle is 84 inches, find the dimensions of the rectangle.
translate each statement into mathematical language
length is nine inches less than twice width. L = 2W - 9
perimeter is 84 inches 2L +2W = 84
Substitute the expression for L (2W-9) for L in the second equation resulting in the follwing
2(2W-9) + 2W = 84
4W - 18 + 2W = 84
(4W+2W) = 84+18
6W = 102
W = 102/6 = 51/3
L = 2(51/3) - 9
= L= 17-9
L=6
Rational number between 1.2 and 1.3 is 1.25 right?
Question 3 Unsaved Solve for x, given the equation Square root of x minus 5 + 7 = 11
[tex]Domain:\\\\x-5\geq0\to x\geq5\\\\\sqrt{x-5}+7=11\ \ \ \ \ |-7\\\\\sqrt{x-5}=4\ \ \ \ \ |^2\\\\(\sqrt{x-5})^2=4^2\to x-5=16\ \ \ \ \ |+5\\\\\boxed{x=21}\in D\\\\[/tex]
We have the following equation:
[tex]\sqrt{x-5} +7=11[/tex]
To solve this, we first need to subtract the 7 on both sides of the equation.
[tex]\sqrt{x-5} +7-7=11-7[/tex]
The equation then becomes:
[tex]\sqrt{x-5} =4[/tex]
Now we must square both sides of the equation to get rid of the radical/square root symbol.
[tex](\sqrt{x-5})^2 =(4)^2[/tex]
Now we have a normal one step equation.
[tex]x-5=16[/tex]
Add 5 on both sides to find x.
[tex]x-5+5=16+5[/tex]
x=21
To see if this solution is true, we must substitute 21 back into the original equation.
[tex]\sqrt{21-5} +7=11[/tex]
[tex]\sqrt{16} +7=11[/tex]
[tex]4+7=11[/tex]
11=11
Therefore, the solution is true.
3s squared + 2 = -62
[tex]3s^2+2=-62\ \ \ \ |-2\\\\3s^2=-64\ \ \ \ |:3\\\\s^2=-\dfrac{64}{3} < 0\\\\NO\ REAL\ SOLUTIONS\\\text{the equation has complex solutions}\\\\s^2=-\dfrac{64}{3}\to s=\pm\sqrt{-\dfrac{64}{3}}=\pm\sqrt{\dfrac{64}{3}}\cdot\sqrt{-1}=\pm\dfrac{\sqrt{64}}{\sqrt3}\cdot i=\pm\dfrac{8}{\sqrt3}i\\\\=\pm\dfrac{8\cdot\sqrt3}{\sqrt3\cdot\sqrt3}i=\pm\dfrac{8\sqrt3}{3}i[/tex]
8 x 5 ÷ 2 - (5+3) Please help
Answer:
your answer is 12
Step-by-step explanation:
5+3=8
8 x 5 / 2 - 8
5 x 8=40
40 / 2 - 8
40 / 2=20
20 - 8=12
If D is the midpoint of the segment AC and C is the midpoint of segment AB , what is the length of the segment BC , if AD = 3 cm.
Answer:
6 cm
Step-by-step explanation:
Given: D is the midpoint of the segment AC and C is the midpoint of segment AB.
To Find: length of the segment BC , if AD = 3 cm.
Solution:
In line Segment AC,
D is the midpoint of Segment AC
therefore,
[tex]\text{AC}=2\text{AD}[/tex]
In line segment AB,
C is the midpoint of AB,
Therefore,
[tex]\text{BC}=\text{AC}[/tex]
putting the value of AD,
[tex]\text{AC}=2\times\text{AD}[/tex]
[tex]\text{AC}=2\times3[/tex]
[tex]\text{AC}=6[/tex] [tex]\text{cm}[/tex]
as,
[tex]\text{BC}=\text{AC}[/tex]
Length of segment BC is [tex]6[/tex] [tex]\text{cm}[/tex]
The length of segment BC is 6 cm.
The given parameters;
midpoint of line segment AC = Dmidpoint of line AB = Clength of AD = 3 cmTo find:
the length of segment BCA sketch of the given problem is presented below;
A-----------------D--------------------C---------------------------------B
From this sketch above the length of segment BC is calculated as follows;
length AC = length BC
AD is half of AC = 3cm
AC = 2 x 3cm = 6cm
Since AC = BC, BC = 6 cm
Thus, the length of segment BC is 6 cm.
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Brenda has a job offers at two companies. One company offers a starting salary of $75,000 with a raise of $2,500 each year. The company offers a starting salary of $55,000 with a raise of $5,000 each year. In how many years would Brenda’s salary be the same with both companies ? What will the salary be ?
Solve the following equation w-2=-3
1.W=-3/2
2.W=-5
3.W=-1
4.W=6
Answer:
w = -1
Step-by-step explanation:
Isolate the w. Note the equal sign. What you do to one side, you do to the other.
Add 2 to both sides
w - 2 (+2) = -3 (+2)
w = -3 + 2
Simplify
w = -1
3. w = -1 is your answer
----------------------------------------------------------------------------------------------------------------
~Rise Above the Ordinary, Senpai
identify the coordinates of four points on the line with given slope is 0.2 and y-intercept is 0.3
Final answer:
The four points on the line with a slope of 0.2 and y-intercept of 0.3 are (0, 0.3), (1, 0.5), (2, 0.7), and (3, 0.9).
Explanation:
The equation of the line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 0.2 and the y-intercept is 0.3. To find four points on the line, we can choose any x-values and substitute them into the equation to find the corresponding y-values.
For example, let's choose x = 0, 1, 2, and 3:
When x = 0, y = 0.3
When x = 1, y = 0.5
When x = 2, y = 0.7
When x = 3, y = 0.9
So, the four points on the line with a slope of 0.2 and y-intercept of 0.3 are (0, 0.3), (1, 0.5), (2, 0.7), and (3, 0.9).
What is f(–3) for the function f(a) = –2a2 – 5a + 4?
f(a) = –2a2 – 5a + 4
f(–3)
Replace a with -3:
-2(-3)^2 -5(-3) +4=
-2(9) +15 +4 =
-18 + 19 = 1
Ruby ate 1/3 of a pizza, and Angie ate 1/5 of the pizza. How much of the pizza did they eat in all?
i think it is 8/15 of the pizza
Find common denominators. Multiply 5 to numerator and denominator of 1/3, and 3 to the numerator and denominator of 1/5
(1/3)(5/5) = 5/15
(1/5)(3/3) = 3/15
Add
5/15 + 3/15 = 8/15
Ruby and Angie ate 8/15 of the pizza.
hope this helps
Can someone explain how to identify linear equations please?
Linear equations are an equation between two variables that makes a straight line on a graph. You need to find the value of x or y. You can usually substitute numbers in for x or y until you get what they're equaling.
A) x=1/2
You can get this by first finding the like terms. In this case it would look like 4x-2=0. Then you'd move the constant to the right to get 4x=2. Then just divide both sides by 4 to get 1/2.
Hope this helped! :)
what is n-3n=14-n show your work
It takes an express train 30 minutes to travel 45 miles at that same rate of speed how many miles does the train travel in 12 minutes
Well if you divide 30 by 10 then multiply by 4 you get 12 minutes.
Do the same for 45,
45 divided by 10 = 4.5 then multiply by 4 = 18
The number of miles the train will travel at the same speed is 18 miles
From the question,
We are to determine the number of miles the train travel in 12 minutes
From the question
It takes an express train 30 minutes to travel 45 miles
First, we will determine the speed
From the formula
[tex]Speed = \frac{Distance}{Time}[/tex]
Distance = 45 miles
Time = 30 minutes
∴ [tex]Speed = \frac{45}{30}[/tex]
Speed = 1.5 miles/mins
Now,
For the number of miles the train travel in 12 minutes
Time = 12 minutes
Using the formula
Distance = Speed × Time
∴ Distance = 1.5 × 12
Distance = 18 miles
Hence, the number of miles the train will travel at the same speed is 18 miles
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Which results are more likely for someone without personal finance skills? Select three options.
higher tax rates
less preparation for emergencies
fewer utility expenses
simple long-term investment strategies
increased long-term challenges
Personal finance skills are an individual's way of financing his or her accounts keeping in mind the most significant aspects like -money, property and investment. These skills improve an individual's quality of life.
Hence, a person who does not know these skills gradually result in the following -
1. higher tax rates - A person without personal finance skills will not be able to save his taxes. He does not know about various investment options that can save his tax.
2. less preparation for emergencies - A person lacking these skills will not timely manage his accounts and if an emergency occurs, he might not have money to surpass that emergency.
3. increased long-term challenges - A person who does not invest timely and in the right things can end up not earning any money from these investments. Hence, he will not be prepared for further challenges that will come once he ages. He cannot have enough money by the time he retires.
Have a nice day :)
at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite directions the dart express train goes three times faster than the hold freight train. fifteen minutes later the two trains are already 30 miles apart find the speed of each train?
Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
Explanation:
Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.
It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,
[tex]3x=y[/tex] ....(1)
The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of [tex](x+y)[/tex] miles per minute.
[tex]Distance=Speed\times Time[/tex]
The distance between both train in 15 minutes is represented by [tex]15(x+y)[/tex].
According to the given information the distance between trains is 30 miles in 15 minutes.
[tex]15(x+y)=30[/tex]
[tex]x+y=2[/tex]
Use equation (1) and put [tex]y=3x[/tex]
[tex]x+3x=2[/tex]
[tex]4x=2[/tex]
[tex]x=0.5[/tex]
Put this value in equation (1), to find the value of y.
[tex]y=3(0.5)[/tex]
[tex]y=1.5[/tex]
Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
What’s the product of 1/2 x 2/3 x 3/4
1/2 x 2/3 x 3/4 = 1/4
(Sorry, I did the math wrong. I meant 1/4)
[tex]\frac{1}{2}[/tex] x [tex]\frac{2}{3}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{4}[/tex]
Hope this helps you
-AaronWiseIsBae
A herd of 52 horses has 12 white and some black horses. What is the ratio of white horses to black horses.
Answer:
12/40
Step-by-step explanation:
There are 12/52 white horses.
there are 40/52 black horses.
ps.
There is no such thing as a white horse, only gray lol.
What is the solution to the equation
5X + 2 ( X - 4 ) = 5X + X - 10
Answer:
X= -2
Step-by-step explanation:
I'm sorry if my addition signs looks like division signs
5X + 2 ( X - 4 ) = 5X + X - 10
5X + 2X - 8 = 5X + X - 10
7X - 8 = 6X - 10
add 8 on both sides
7X = 6X - 2
subtract 6X on both sides
X= -2
Answer:
-2
Step-by-step explanation:
I took the test and got it wright.
see the problem below
PLZZZZZZZZZZZZ ANSWER FAST AND CORRECT
26 PTS AND I'LL MARK YOU THE BRAINLIEST
your answer would be a
y+5≥4
use this site next time
Which arrangement shows 275 , 5.36, 535 , and 336 in order from least to greatest?
A 5.36, 275 , 336 , 535
B 5.36, 275 , 535 , 336
C 275 , 5.36, 336 , 535
D 535 , 5.36, 275 , 336
Margo borrows $400, agreeing to pay it back with 5% annual interest after 6 months. How much interest will she pay?
20$ of interest 100 divided by 5= 20$$$$