what is the value of 3x-3 when x equals 3

Answer:

i) [tex]P(X=12)=0.0355[/tex]

ii) [tex]P(X<10)=0.7553[/tex]

iii) [tex]P(X\geq 5)=0.9490[/tex]

Step-by-step explanation:

Let's start by defining the random variable ⇒

[tex]X:[/tex] '' Number of students that will get 7 marks out of 10 in first attempt of a certain Quiz while attempting Quiz on BlackBoard LMS ''

[tex]X[/tex] is a discrete random variable.

The probability of a randomly selected student getting 7 marks out of 10 is 0.4

(This is a data from the question).

Now, if we assume independence between the students while they are doing the Quiz and also we assume that this probability remains constant , we can modelate [tex]X[/tex] as a binomial random variable ⇒

[tex]X[/tex] ~ Bi (n,p)

Where ''n'' and ''p'' are the parameters of the variable.

''n'' is the number of students attempting the Quiz and ''p'' is the probability that a student will get 7 marks out of 10 which is 0.4 ⇒

[tex]X[/tex] ~ Bi (20, 0.4)  in the question.

The probability function for [tex]X[/tex] is

[tex]p_{X}(x)=P(X=x)=\left(\begin{array}{c}n&x\end{array}\right)p^{x}(1-p)^{n-x}[/tex]    (I)

Where [tex]\left(\begin{array}{c}n&x\end{array}\right)[/tex] is the combinatorial number define as

[tex]\left(\begin{array}{c}n&x\end{array}\right)=\frac{n!}{x!(n-x)!}[/tex]

Replacing the parameters in the equation (I) ⇒

[tex]P(X=x)=\left(\begin{array}{c}20&x\end{array}\right)(0.4)^{x}(0.6)^{20-x}[/tex]    (II)

For i) we need to find [tex]P(X=12)[/tex]

Then, we only need to replace by [tex]x=12[/tex] in equation (II) ⇒

[tex]P(X=12)=\left(\begin{array}{c}20&12\end{array}\right)(0.4)^{12}(0.6)^{8}=0.0355[/tex]

For ii) we need to calculate [tex]P(X<10)[/tex]

This probability is equal to ⇒ [tex]P(X<10)=P(X\leq 9)[/tex] and to calculate it we need to sum [tex]P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)[/tex]

[tex]+P(X=6)+P(X=7)+P(X=8)+P(X=9)[/tex]

We can do it summing each term or either using any program.

The result is [tex]P(X<10)=P(X\leq 9)=0.7553[/tex]

Finally for iii) we need to find  ⇒ [tex]P(X\geq 5)[/tex]

This probability is equal to ⇒ [tex]P(X\geq 5)=1-P(X\leq 4)[/tex] ⇒

[tex]1-P(X\leq 4)=1-[P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)][/tex]

Again we can find each term by using the equation (II) or either using a program. The result is [tex]P(X\geq 5)=0.9490[/tex]

Answer:Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 . Further as each exterior angle is 45o , each interior angle is 180o−45o=135o .

Step-by-step explanation: hope this helps ;)

Answer:

8

Step-by-step explanation:

Answer:

The length of FG is 2.

Step-by-step explanation: B and F are the same point, just reflected, so BC=FG.

Answer: I’ll explain it in simpler terms for you. A proportional relationship is one in which two quantities vary directly with each other. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. An example of a proportional relationship is simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Hope this helps! :D

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

ok equation are like fraction but let me put it like this lets say x+y=7;x+2y=11 thats how you do eqution done.

Answer:distributive

Step-by-step explanation:

Answer:

1. E , 2. JK , 3. L , 4. E , 5. LE

Step-by-step explanation:

JUST TOOK THE TEST.

Answer:

Complete the statements.

Point  

✔ E

is the midpoint of side  

✔ JK

.

To finish the construction, draw a segment from vertex  

✔ L

to point  

✔ E

.

Then, segment  

✔ LE

is a median of triangle JKL.

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

You can make the votes simple by dividing 8 on 80 and 72

80 becomes 10

72 becomes 9

You can do this because we done the same thing to both sides

now it is Yoko got 9 out of 10 and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote

Answer:

90%

Step-by-step explanation:

You can make the votes simple by dividing 8 on 80 and 72

80 becomes 10

72 becomes 9

You can do this because we done the same thing to both sides

now it is Yoko got 9 out of 10

and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote

Hope this helps!

Answer:

45.52

Step-by-step explanation:

Answer:

[tex]0.17\ \text{yards}[/tex]

Step-by-step explanation:

Total length of yellow fabric = 3.5 yards

[tex]\dfrac{2}{3}[/tex] of the yellow fabric was made to make a chicken costume.

So, the fraction of the yellow fabric used to make toys for her 7 dogs is

[tex]1-\dfrac{2}{3}=\dfrac{1}{3}[/tex]

The amount of fabric to make the 7 toys is

[tex]\dfrac{1}{3}\times 3.5=1.17\ \text{yards}[/tex]

Assuming that equal amount of fabric was used for 1 toy for 7 of her dogs each.

The amount of fabric used for 1 dog's toy is

[tex]\dfrac{1}{7}\times 1.17=0.17\ \text{yards}[/tex]

The amount of fabric used to make each banana is [tex]0.17\ \text{yards}[/tex].

Step-by-step explanation:

connect the points p and s

and comnect the points q and t

take triangle PQS and triangle TSQ

SQ similar to SQ

PQ similar to QS

QS similar to ST

therefore triangle PQS similar to triangle TSQ

Therefore , PQ/ QS = ST/ QS

PQ=ST

9514 1404 393

Answer:

  108, 77

Step-by-step explanation:

Let x represent the larger part. Then ...

  x + (x -31) = 185

  2x = 216

  x = 108

  x -31 = 77

The two parts are 108 and 77.

First you need to find the slope:  (y2 - y1)/(x2 -x1) = (-4 -(-4))/(0-2) = 0.  So the line is horizontal, which means the y coordinate is constant and equal to -4, so the equation of the line is y = -4.

Answer:

4.1 x 10^8

Step-by-step explanation:

Answer:

The answer for meters is 4.1 x 10^8 meters . There are 1000 millimeters in a meter, so the scientific notation is 4.1 x10^11 millimeters.

Answer: A

Step-by-step explanation:

Answer:

(0,-1)

Step-by-step explanation:

because the line crosses through (0,-1) the vertex is (0,-4)

Answer:

4.17 Pounds

Step-by-step explanation:

To get to 50 pounds you have to subtract 50 by the amount of weight on your own bag, so 50-45.83. That would get you 4.17. Hope this helps!

Answer:

-0.4

Step-by-step explanation:

you just take 2 of them to find it

Answer:

need my points

Step-by-step explanation:

Answer:

(7, 5.25)

Step-by-step explanation:

got it correct on edgeunity hope this helps ya

Answer:

its the second option on edge 2020

Step-by-step explanation: did the assignment

Answer:

The answer is B cause thats the slope of the line

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

for starters the equation is:

y = -2/4 + 3

It then simplifies to:

y = -1/2 + 3

Making your answer B.

Answer:

A) 2

B) 71

c) 4

D)42

Step-by-step explanation:

Draw the Venn diagram starting from the intersection of all

Answer:

Sarah bough 3 Angelfish and 5 Bloodfin Tetra

Step-by-step explanation:

Let a be the number of Angelfish fish and

b be the number of Bloodfin fish

Then according to the given statements

we get the following equations

[tex]a+b = 8\ \ \ Eqn\ 1\\4.75a+1.50b=21.75\ \ \ Eqn\ 2[/tex]

From Equation 1

[tex]a = 8-b[/tex]

Putting in equation 2

[tex]4.75(8-b)+1.50b = 21.75\\38-4.75b+1.50b = 21.75\\38-3.25b = 21.75\\-3.25b = 21.75-38\\-3.25b = -16.25\\\frac{-3.25b}{-3.25} = \frac{-16.25}{-3.25}\\b = 5[/tex]

Putting b=5 in equation 1

[tex]a+5 = 8\\a = 8-5 = 3[/tex]

Hence,

Sarah bough 3 Angelfish and 5 Bloodfin Tetra

Answer:

Step-by-step explanation:

What type math is this?

Answer:

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].

Step-by-step explanation:

From statement we get the following equations:

Supply curve

[tex]90\cdot x - y = -50[/tex] (1)

Demand curve

[tex]10\cdot x + y = 200[/tex] (2)

Where:

[tex]x[/tex] - Quantity, measured in thousands of metric tons.

[tex]y[/tex] - Price, measured in US dollars per metric tons.

If we add both equations, then we find that quantity is:

[tex](90\cdot x -y )+(10\cdot x +y) = -50+200[/tex]

[tex]100\cdot x = 150[/tex]

[tex]x = \frac{3}{2}\,kton.m[/tex]

Then, we finally find the price by substituting on (2):

[tex]y = 200-10\cdot \left(\frac{3}{2} \right)[/tex]

[tex]y = 200-15[/tex]

[tex]y = 185\,USD[/tex]

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].

Answer:

seventy-six and sixty-eight hundreths

Step-by-step explanation:

Answer:

seventy six point sixty eight

Step-by-step explanation:

Tbh it depends on the person, but this is how I would say it out loud.