Using a discrete probability distribution, it is found that:
a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
c) The expected value is of 1.3 lawns mowed on a randomly selected day.
What is the discrete probability distribution?Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:
P(X = 0) = 0.2.P(X = 1) = 0.4.P(X = 2) = 0.3.P(X = 3) = 0.1.Item a:
P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
Item b:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8[/tex]
There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
Item c:
The expected value of a discrete distribution is given by the sum of each value multiplied by it's respective probability, hence:
E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.
The expected value is of 1.3 lawns mowed on a randomly selected day.
More can be learned about discrete probability distributions at https://brainly.com/question/24855677
Can somebody help me please!
Answer:
Less than
Step-by-step explanation:
1/3 * 7/15 is less than 1/3 because 1/3 * 7/15 is being multiplied by a number that is less than 1.
simplify 9c4
combinations
Answer:
9c4
factoring the monomial
(3c2)(-3c2)
Tyson's baby brother weighed 7 pounds, 3 ounces when he was born. The baby lost 9 ounces after a few days and then gained 1 pound, 6 ounces by the end of the week. How much did the baby weight at the end of the week?
1 pound = 16 ounces
Solution:______ pounds or ounces
I will mark brainiest
Answer: The second histogram a.k.a choice B is correct.
What do I put in the first 3 fractions??? (Help needed)
Answer:
See below ~
Step-by-step explanation:
First 3 blanks
[tex]\frac{6}{8}+\frac{4}{8}+\frac{5}{8}[/tex]Final blank
[tex]1\frac{5}{8}[/tex]what is the product –8(7 – 3 .2)
Answer:
-33.6
Step-by-step explanation:
1. Solve inside the brackets = 4.2
2. Multiply that by -8 = -33.6
Answer:
-33.6
Step-by-step explanation:
Evaluate -2x-2y when x = 2 and y=4
If you work 40 hours in a week and make $800. How much will you make if
you work 60 hours?
Answer:
1,200
Step-by-step explanation:
Divide 800 by 40
Then take that answer which is 20 and multiply it by 60
Then you get 1,200
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS IM SO LOST AND CONFUSES MY BRAIN PLS AND TYSM
Answer:
The answer is C.
Step-by-step explanation:
C. 50-59 since it has the same number of employees as 10-19.
If 50 is 20% of a value, what is that value?
Divide 50 by 20%
50/20% = 50/0.20 = 250
Answer: 250
Which of the following statements are true about the given rational equation? check all of the boxes that apply. 4 x 6 1 x2 = x 10 x3 6x2 x = 1 is a solution. x = 0 is a solution. x = –1 is a solution. x = –6 is a solution.
We can actually see that the statements that are true are:
A. x = 1 is a solution.
C. x = –1 is a solution.
What is rational equation?Rational equation is actually known as an equation that contains at least one fraction. The denominator and numerator are known to be polynomials.
We can see then that:
[tex] \frac{4}{x + 6} + \frac{1}{ {x}^{2} } = \frac{x + 10}{ {x}^{3} + 6 {x}^{2} } [/tex]
It's clear that: x ≠ 0 and x ≠ -6.
Looking for the LCM of the left hand side, we will have:
[tex] \frac{4}{x + 6} + \frac{1}{ {x}^{2} } = \frac{4 {x}^{2 } + (x + 6)}{(x + 6) {x}^{2} } [/tex]
So, we will see that left hand side and right hand side are equal.
[tex]4 {x}^{2} + x + 6 = x + 10[/tex]
[tex]4 {x}^{2} = 10 - 6[/tex]
[tex]4 {x}^{2} = 4[/tex]
[tex] {x}^{2} = 1[/tex]
[tex] x = 1[/tex]
or
[tex]x = - 1[/tex]
So, we can see that options A and C are correct.
Learn more about rational equation on https://brainly.com/question/11611235
Answer:
-1 and 1 or A and C
Step-by-step explanation:
The whole cake is 9 cm high and 20 cm across. Each layer of cake is 2cm thick, and each layer is separated by 1 cm of frosting.
1. What is the total volume of the entire cake (including the missing piece)?
2. What is the volume of one layer of frosting (including the missing piece)?
3. What is the volume of all three layers of frosting? (including the missing piece)?
4. What is the volume of one layer of plain cake (without frosting) (including the missing piece)?
5. What is the volume of all three layers of plain cake, without the frosting (including the missing piece)?
Answer:
PO
Step-by-step explanation:
can i have help with this
Answer:
help
Step-by-step explanation:
with what what is the question
A 2-gallon container of window cleaner costs $13.20. What is the price per quart?
Answer:
$ 1.65 per gallon
Step-by-step explanation:
4 quarts in 1 gallon so 8 quarts in 2 gallons.
Cost for 2 gallons $13.20 so $13.20 ÷ 8 = $1.65
Is 2,4,6 an obtuse triangle?
Answer:
Step-by-step explanation:
Work out the value of x
Answer:
42°
Step-by-step explanation:
Angles on one side of a straight line always add up to 180.
Therefore: 180° - 123° = 57°
So, 57° + 81° =138°
x=180° -138° = 42°
Please help i will give brainly
Answer:
C
Step-by-step explanation:
Multiplying the sequence by 2 gives us the next term. Therefore it has to be the formula a1 x r^n-1. If we substitute the values it would end up as the answer C
Answer:
The correct answer would be option C; 12 x 2ⁿ⁻¹
Step-by-step explanation:
You can check this using any number
since n is the term number we can check it;
let's say we have to find out the answer to the third term number, so we will substitute the n by 3 in the equation from option C and solve
term = 12 x 2ⁿ⁻¹
term = 12 x 2 ³ ⁻¹
term = 12 x 2 ²
term = 12 x 4
term = 48
The term does match the third number in the series given above and hence the equation works!
Hope this helps!
3x squared =118. Solve the equation. Round to the nearest hundredth if necessary.
Answer:
3.62
Step-by-step explanation:
118 square rooted is 10.86
10.86/3 = 3.62
Answer:
[tex]x=\pm6.27\: \textsf{(nearest hundredth)}[/tex]
Step-by-step explanation:
Given equation:
[tex]3x^2=118[/tex]
Divide both sides by 3:
[tex]\implies \dfrac{3x^2}{3}=\dfrac{118}{3}[/tex]
[tex]\implies x^2=\dfrac{118}{3}[/tex]
Square root both sides:
[tex]\implies \sqrt{x^2}=\sqrt{\dfrac{118}{3}}[/tex]
[tex]\implies x=\pm\sqrt{\dfrac{118}{3}}[/tex]
[tex]\implies x=\pm6.27\: \textsf{(nearest hundredth)}[/tex]
Sean made 3 wood-fired pepperoni pizzas. 7 friends share the pizzas equally. How much pizza is each person getting?
*
Which fraction represents the ratio in this scenario?
1 point
7/3 of a pizza
3/7 of a pizza
3/10 of a pizza
10/7 of a pizza
Answer:
3/7
Step-by-step explanation:
Write the division of the pizzas as a ratio, and you will have it.
(3 pizzas)/(7 persons) = (3/7) pizza/person
__
Each person gets 3/7 of a pizza.
Gordon buys an antique teapot for £95.
He sells it on an Internet auction site for
£133.
Calculate his percentage profit.
so he got for £95 and sold it for £133, so hmmmm the difference is simply £38.
if we take 95 to be the 100%, what is 38 off of it in percentage?
[tex]\begin{array}{ccll} \pounds&\%\\ \cline{1-2} 95 & 100\\ 38& x \end{array} \implies \cfrac{95}{38}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40[/tex]
Manny saves coins in a jar. He counts his dimes and has $16. How many dimes does Manny have?
Maria and henry are each starting a savings account. Maria puts $250 into her account each month. Henry puts $125 into his account each month. How much money will each of them have saved after 6 months? complete the table to solve
Answer:
maria: $2,500
henry:$750
Step-by-step explanation:
all you have to do is multiply them each by 6
Answer:
Maria will have $1500
Henry will have $750
Step-by-step explanation:
Maria - Multiply 250 x 6
Henry- Multiply 125 x 6
A television and DVD player cost a total of $984. The cost of the television is three times the cost of the DVD player. Find the cost of each item
Answer:
Step-by-step explanation:
so the dvd player is 984 dollars so now we multiply it by three and our total would be 2,952
Would the answer to this be 103?
Question: Find the value of x
Answer:
x=13
Step-by-step explanation:
<FGA is a vertical angle to <EGB, so both = to 77. Then since < CGB=90, we do 90-77=13
PLS HELP ME ON THIS I JUST DIG MY GRADE OUT OF THE GRAVE
1) (-5, 5), 2) (7, -5), 3) (- 3, 28), 4) (- 12, 0), 5) 10, 6) 14, 7) (- 9, 9), 8) [tex]\sqrt{26}[/tex], 9) - 2, 10) 10, 11) [tex]\left(\frac{\sqrt{26}}{26}, \frac{5\sqrt{26}}{26}\right)[/tex], 12) [tex]\left(\frac{21\sqrt{10}}{10}, -\frac{7\sqrt{10}}{10} \right)[/tex], 13) (0, 7), 14) [tex](- 3\sqrt{3}, - 3)[/tex], 15) The vectors [tex]\vec a[/tex] and [tex]\vec b[/tex] are orthogonal, 16) [tex]7\sqrt{2}[/tex], [tex]135^{\circ}[/tex], 17) [tex]17[/tex], [tex]137^{\circ}[/tex], 18) [tex]12[/tex], [tex]240^{\circ}[/tex], 19) [tex](19.700, 15.392)[/tex]
How to analyze vectors
Vectors are elements that are charaterized for having a magnitude and a direction, whereas scalar are only characterized by magnitude. In this question we must apply different vector properties to obtain the corresponding results.
The first two exercises consist in calculating each vector based on its initial and terminal points, whose results are obtained below by sum of vectors with initial points at origin:
1) (-1, 3) - (4, -2) = (-5, 5)
2) (2, -6) - (- 5, -1) = (7, -5)
The following eight exercises are resolved by applying the operations of addition of vectors and multiplication of a vector by a scalar, and the definition of norm and dot product as well:
3) 3 · (3, 4) + 2 · (- 6, 8) = (9, 12) + (- 12, 16) = (- 3, 28)
4) (- 6, 8) - 2 · (3, 4) = (- 12, 0)
5) [tex]\| \vec v\| = \sqrt{(-6)^{2}+8^{2}}[/tex] = 10
6) [tex]\vec u \,\bullet \,\vec v =[/tex] 3 · (- 6) + 4 · 8 = 14
7) 3 · [(0, 2) - (3, -1)] = 3 · (- 3, 3) = (- 9, 9)
8) [tex]\|\vec v\| = \sqrt{1^{2}+5^{2}} = \sqrt{26}[/tex]
9) [tex]\vec u \,\bullet \,\vec v =[/tex] 3 · 1 + (- 1) · 5 = - 2
10) [tex]\vec w \,\bullet \, \vec v =[/tex] 0 · 1 + 5 · 2 = 10
11) The unit vector is obtained by dividing the vector by its magnitude:
[tex]\vec u_{v} = \frac{1}{\sqrt{26}}\cdot \left(1, 5\right) = \left(\frac{1}{\sqrt{26}}, \frac{5}{\sqrt{26}} \right) = \left(\frac{\sqrt{26}}{26}, \frac{5\sqrt{26}}{26}\right)[/tex]
12) The vector is equal to the product of the magnitude and its unit vector:
[tex]\vec r = 7 \cdot \frac{\vec u}{\|\vec u\|}[/tex]
[tex]\vec r = \frac{7}{\sqrt{10}}\cdot (3, -1) = \left(\frac{21}{\sqrt{10}}, -\frac{7}{\sqrt{10}} \right) = \left(\frac{21\sqrt{10}}{10}, -\frac{7\sqrt{10}}{10} \right)[/tex]
13) and 14) The vector is the product of the magnitude and the directional vector:
13) [tex]\vec r = 7 \cdot (\cos 90^{\circ}, \sin 90^{\circ}) = (0, 7)[/tex]
14) [tex]\vec r = 6\cdot (\cos 210^{\circ}, \sin 210^{\circ}) = (- 3\sqrt{3}, - 3)[/tex]
15) Two vectors are orthogonal if and only if their dot product is zero:
[tex](3.2, 4.8) \,\bullet\,(-3, 2) =[/tex] 3.2 · (- 3) + 4.8 · 2 = 0
The vectors [tex]\vec a[/tex] and [tex]\vec b[/tex] are orthogonal.
The next three exercises are resolved by definitions of norm and direction:
16) [tex]\|\vec v\| = \sqrt{(-7)^{2}+7^{2}} = 7\sqrt{2}[/tex], [tex]\theta = 135^{\circ}[/tex]
17) [tex]\|\vec v\| = 17[/tex], [tex]\theta = 137^{\circ}[/tex]
18) [tex]\|\vec q\| = 12[/tex], [tex]\theta = 240^{\circ}[/tex]
The last exercise consist in defining the vector as a product of magnitude and direction vector:
19) [tex]\vec v = 25\cdot (\cos 38^{\circ}, \sin 38^{\circ}) = (19.700, 15.392)[/tex]
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477
One-third is equivalent to what number over 12? Place only the value for the number that will be over 12.
Answer:
4
Step-by-step explanation:
1/3 = x/12
12 * 1/3 =x x = 4
50 POINTS PLEASE ANSWER ASAP
What is the diameter of a circle whose circumference is 5?
Answer:
[tex]4)\ = \frac{5}{\pi}[/tex]
Step-by-step explanation:
Formula:________________
circumference = Diameter × π
_______________________
Then
5 = Diameter × π
Then
[tex]Diameter \ = \frac{5}{\pi}[/tex]
Each class you have is 1 1/4 hours. How many classes are there if the day is 6 7/8 hours?
Answer:
There would be 5.5 or 5 1/2 classes
Step-by-step explanation:
Turn fractions into decimals
Multiply each by 60
Then Divide
need help on this question
Answer: 4
Step-by-step explanation:
In how many different ways can the sides of a triangle be named by the letters a, b, and c?
24
18
3
6
Answer:
6.
Step-by-step explanation:
That is the number of permutations of 2 from 3
= 3P2
= 3!/(3-2(!
= 3*2
= 6.