8 out of 20 students attended tutorials. What is the decimal equivalent to the fraction of students who attended tutorials?

Answer:

-12≥x

Step-by-step explanation:

-10≥2x+14

-24≥2x

-12≥x

Answer:

P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%

Step-by-step explanation:

Mean = 63

Standard Deviation =6

We need to find probability that X lies between 45 and 81 i.e P(45<X<81)

First we will find z-score for X=45 and X=81

For X=45 the z-score can be found using formula:  [tex]z-score=\frac{X-\mu}{\sigma}[/tex]

Putting values and finding z-score

[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{45-63}{6}\\z-score=-3[/tex]

For X=45, z-score is -3

For X=81 the z-score can be found using formula:  [tex]z-score=\frac{X-\mu}{\sigma}[/tex]

Putting values and finding z-score

[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{81-63}{6}\\z-score=3[/tex]

For X=81, z-score is 3

Now finding the probability of P(-3<z<3)

It can be solved as:

P(-3<z<3)=P(z<3)-P(z<-3)

Looking at the z-score table to find

P(z<3)= 0.9987

P(z<-3)=0.0013

So, P(-3<z<3)=P(z<3)-P(z<-3)

P(-3<z<3)=0.9987 - 0.0013

P(-3<z<3)=0.9974

or P(-3<z<3)= 99.74%

So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%

the last one

Hope this helps!      :3

plz mark as brainliest!

Step-by-step explanation:

Answer:

x=  1.13 or x= -1.45

Step-by-step explanation:

use the quadratic square root formula (-b±√(b²-4ac))/(2a) .

a= 3

b=1

c= -5

replace the variables with the numbers listed above and just work out.

x=  1.13 or x= -1.45

Answer:

x = -1/6 + 1/6√61 or x = -1/6 + -1/6 √61

Step-by-step explanation:

3x^2+x-5=0

Using quadratic formula a=3, b=1, c=-5

x = -b ± √b^2 - 4ac / 2a

x = -(1) ± √(1)^2 - 4(3)(-5) / 2(3)

x = -1 ± √61 / 6

x = -1/6 + 1/6√61 or x = -1/6 + -1/6 √61

Answer:

23.25

Step-by-step explanation:

Step-by-step explanation:

175÷50=3.5

3.5×1/4=0.875

Answer:

He will save $300

Hope this helps

Answer:Y=2x-6

Step-by-step explanation:

Answer:

option D.

Step-by-step explanation:

average rate of change in steel production over the eight days=-0.15 tons per day

Step-by-step explanation:

The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons.

Production is dropped by 1.2 tons, so its negative

Average rate of change = Change in production / number of days

Average rate of change = -1.2/ 8= -0.15

so sorry -0.15

Answer:

The expected completion time of the project is:

10 days.

Step-by-step explanation:

Duration of Task A = 5 days

Task B and C depend on Task A

This implies that Task A must be completed before Task B and C can be started.

To complete Task B will take 5 days

To complete Task C will take 5 days (7 * 0.5) + (3 * 0.5)

Since Task A takes 5 days and Tasks B and C depend on Task A and Task B takes 5 days and Task C takes expected time of 5 days, it means that the project can be completed in 10 days (5 + 5) if tasks B and C are simultaneously carried out.

The expected completion time of the project is

(i)10 days if B&C are mutually independent

(ii)15 days if B &C are mutually dependent

Expected completion time of a task= p1x1 + p2x2

Where

p1 & p2 are probabilities.

x1 and x2 are samples.

p1=p2=0.5

x1=7

x2=3

Expected completion time of task C= 0.5*7+0.5*3 = 5 days

Task B and C will be due till task A is not accomplished.

Total time to accomplish task A = 5 days

Total time  to accomplish task B= 5 days

Expected time to accomplish task C = 5 days

If tasks B and C are mutually independent

expected time to complete the project = 5+5=10days

If task C depends on task B

Expected time to complete the project = 5+5+5 = 15 days.

Therefore

The expected completion time of the project is

(i)10 days if B&C are mutually independent

(ii)15 days if B and C are mutually dependent

To get more about probability visit to:

https://brainly.com/question/24756209

Answer:

129

Step-by-step explanation:

the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129

Answer: C. (5)

Step-by-step explanation:

Answer:

Pretty sure it's C!

I also hope you don't fail

Step-by-step explanation:

Let's simplify step-by-step.

3(x+1)+2(x+5)

Distribute:

=(3)(x)+(3)(1)+(2)(x)+(2)(5)

=3x+3+2x+10

Combine Like Terms:

=3x+3+2x+10

=(3x+2x)+(3+10)

=5x+13

Answer:

A

Step-by-step explanation:

Answer:

A reflection across the line x = -1

Step-by-step explanation:

A reflection along the line x = -1 carries the trapezoid onto itself.

Answer:

x = 4

Step-by-step explanation:

We are asked to find the value of x when [tex] \frac{7}{2} [/tex].

Note that [tex] f(x) [/tex] is also y.

What this means is, what is the value of x when y = 7/2 = 3.5.

On the graph given, trace where y = 3.5. check the x-value that corresponds with it on the point on the line.

Thus, at y = 3.5, x = 4.

Therefore,

x = 4, when [tex] \frac{7}{2} [/tex].

Answer:

Do you have any numbers?

Answer:

Brainly does not have the correct answer listed as a choice - it should be [tex]2187y^{14}[/tex]

Step-by-step explanation:

Answer:

B

Only one that goes over once and up twice

Answer:

b is the answer I believe

Answer:

C

Step-by-step explanation:

C

Answer:

647$ USD

Step-by-step explanation:

You add 4% of each sale to eachother and to the 375. goodluck!

Answer:

7171

Step-by-step explanation:

i added it all up and thats what i got hope this helps and if right can i have brainlyest.

Answer:

-1/4

Step-by-step explanation:

But in reality, it is going from positive to negative, so the answer is -1/4.

Answer:

-1/4

Step-by-step explanation:

Answer:

0.002 , 0.05 , 0.40 , 0.80 , 1.02 , 2 , 4 , 11 , 13 , 15 , 16 , 357

Step-by-step explanation:

11 , 357 , 2 , 1.02 , 13 , .80 , 4, .002 , 15 , .05 , 16 , .40

Answer:

x=125

Step-by-step explanation: