Use the Binomial Theorem to expand each binomial (2x-1)^6

A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm

MariettaO [177]

Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x $\geq$ 25.8 upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

F(x,a,b)= $\frac{1}{b-a}$ $a\leq x\leq b$

=1/(33-18)=1/15=0.0667.

this is probability density function.

here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)= $\frac{x-a}{b-a}$ =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

here at least 25.8 cm probability means it should be greater than a value(18cm) hence it is provided by the upper cumulative frequency

i.e. Q(x,a,b)=0.48

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

7 0

3 years ago

Compute the probability of drawing two clubs from a standard deck of 52 cards. Round your answer to four decimal places. Answer:

DanielleElmas [232]

It’s 110 because you add two 52

8 0

3 years ago

True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (

PtichkaEL [24]

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation $2x+3y=10$ . in order to figure out whether or not the statement is true or false, plug the $x$ and $y$ values from the coordinate pair (5, 2) into the given equation, $2x+3y=10$ . if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for $x$ in the equation $2x+3y=10$ .

$2x+3y=10$ ⇒ $2(5)+3y=10$

then plug in 2 for $y$ .

$2(5)+3y=10$ ⇒ $2(5)+3(2)=10$

now your equation is $2(5)+3(2)=10$ . all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

$2(5)+3(2)=10$ ⇒ $10 + 3(2) = 10$

multiply 3 · 2.

$10 + 3(2) = 10$ ⇒ $10 + 6 = 10$

add 10 + 6.

$10 + 6 = 10$ ⇒ $16=10$

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation $2x+3y=10$ . in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

6 0

3 years ago

Please I really need help on this

Ilya [14]

Answer:

40%

Step-by-step explanation:

She has sold 20 items total.

Refrigerators: 8/20 = 40%

Dishwashers: 1/20 = 5%

Dryers: 11/20 = 55%

So there is a 40% chance she will sell another refrigerator! hope this helps!!

3 0

3 years ago

Please help me this is due today

Serjik [45]

Answer:

1. 15 (A)

2. 12 (G)

Step-by-step explanation:

1. We can make an equation out of this...

3x+3=48

x is the age of Geoff which is what we are trying to find out

We have to add 3 to both sides of the equation

3x+3=48

-3 -3

________

we end up with 3x=45

we then have to divide 3 by both sides because its the opposite of

multipling

3x=45

_____

3

we get x=15

2. We can write a problem statement

(2 x 9)-6=?

multiply 2 and 9 FIRST

18-6=?

your answer is 12

Your Welcome! Have a great rest of your day! :)

7 0

3 years ago