Back with another 6th grade question, not sure why :/

Answer:

0.3137 ; 0.2228

Step-by-step explanation:

Given a normal distribution :

Morning class :

Mean(Mm) = 71%

Standard deviation (Sm) = 12%

Afternoon class:

Mean(Ma) = 78%

Standard deviation (Sa) = 8%

M = Mm - Ma = (71 - 78) = - m7

S = √Sm + Sa = √12² + 8² = √208

A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class?

P(morning > afternoon) = p(morning - afternoon > 0)

Using:

Z = (0 - (-7)) / S

Z = 7 / √208

Z = 0.4853628

P(Z > 0.49) = 0.3137

B)

What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class?

Using:

Z = (4 - (-7)) / S

Z = 11 / √208

Z = 0.7627127

P(Z > 0.49) = 0.2228

Answer:

There is no particular formula for integer as it is nothing but a set of numbers. But there are certain rules when we perform any mathematical operations like addition, subtraction, etc on integers: Adding two positive integers will always result in a positive integer.

Step-by-step explanation:

Answer:

C. 12

Step-by-step explanation:

[tex]4x=2x+6[/tex]

[tex]4x-2x=6[/tex]

[tex]2x=6[/tex]

[tex]x=3[/tex]

~

[tex]AB=4x\\=4(3)\\=12[/tex]

~

Therefore, your answer is C) 12 !!!!!!

Answer:

Planteas un sistema de ecuaciones 2x2 y solucionas por el método que prefieras.

Step-by-step explanation:

Edad de Jorge: j

Edad de Pedro: p

    [tex]\left \{ {{j=3p}\atop {j+10=2(p+10)}}\right.[/tex]

Ec (1) en Ec (2)

[tex]3p+10=2(p+10)[/tex]  → [tex]3p+10=2p+20[/tex] → [tex]3p-2p=20-10[/tex] → [tex]p=10[/tex]

Reemplazamos en Ec (1)

[tex]j=3(10)[/tex] → [tex]j=30[/tex]

Por ende, Jorge tiene 30 años y Pedro 10

Answer:

x = -10

Step-by-step explanation:

2(x + 3) = x - 4

2x + 6 = x - 4

x = -10

Answer:

8 tablespoons of butter.

Step-by-step explanation:

12/3= 4

4x2= 8

Answer:

26x + 25

Step-by-step explanation:

3/4(8x + 12) + 4/5(25x + 20)

Distribute

3/4(8x) + 3/4(12) + 4/5(25x) + 4/5(20)

24/4x + 36/4 + 100/5x + 80/5

Reduce the fractions

6x + 9 + 20x + 16

Combine like terms

26x + 25

Answer:

X=115/22

Step-by-step explanation:

22x-15=100

22x=100+15

22x=115

X= 115/22

Answer:

For inequation 1:

(2, 6)(1, -3)(-2, 5)

For inequation 2:

(2, 6)(-1,-1)(-3. 4)(1,-3)

For the system:

(2, 6)(1, -3)

Step-by-step explanation: got it right on the test

Answer:

4 : 7

Step-by-step explanation:

Answer:

I think it's 2

Step-by-step explanation:

You have to put x and y in the right places where they belong, where x = - 1 and y = 2, that's it !

Answer:

b. 625

Step-by-step explanation:

you just have to find the square root

which is 25

the rest have decimals

Answer:

$1500

Step-by-step explanation:

January has 31 days, so after day 25 there are 6 days left. You still need $9000. 9000/6=1500.

Answer:

15 i think but im sry if i get it wrong

step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

To find linear equations, we must solve for m and b and substitute them into slope-intercept form.

We're given:

Input the slope into slope-intercept form:

[tex]y=mx+b\\\\y=\dfrac{3}{2}x+b[/tex]

Solve for the y-intercept by inputting the given point (-6,-5):

[tex]-5=\dfrac{3}{2}(-6)+b\\\\-5=-9+b\\\\4=b[/tex]

Therefore, the y-intercept is 4. Plug this back into our original equation:

[tex]y=\dfrac{3}{2}x+4[/tex]

[tex]y=\dfrac{3}{2}x+4[/tex]

Answer:

40

Step-by-step explanation:

Firstly, i solved for the first pair of parenthesis and got 20. If there is no sign in between a pair of brackets of parenthesis  its multiplication

Put as brainliest if you wish

Answer

2.5

Step-by-step explanation:

125 vitamins, 20 milligrams in each.

convert 20 milligrams to grams, 0.02

multiply 0.02 by 125

2.5

Answer2.5

Step-by-step explanation:

hope it helps

Answer and Step-by-step explanation:

Solution: given:

(a)

Mean = λ = µ = 2permm3

By using formula:

P(x = k) =  λk e- λ  / k!

P ( not A) = 1 – p(A)

Passion probability at k = 0

P( x = 0) = 20 e-2/ 0!

               = 0.1353

Probability of at least one inclusion:

P(x≥1) = 1- p(x=0) = 1 – 0.1353

            = 0.864

(b) Probability of at least 3 inclusions in 4.0 cubic millimeters.

Mean = λ = µ = 2 per mm3

Inclusion in 4 cubic mm = 4 x 2 per 4 mm3 = 8 per 4 mm3

P(not A) = 1 – p(A)

Passion probability at k = 0,1,2

P(x=0) = 80 e-8 / 0!

        = 0.00034

P(x = 1) = 81 e-8 / 1!

            = 0.00272

P(x = 2) = 82 e-8 / 2!

              = 0.01088

Probability at least 3 inclusion:

P(x≥3) = 1 – p(x<3) = 1 – p(x = 0) – p(x =1) – p(x = 2)

            = 1 – 0.00034 – 0.00272 – 0.01088

          = 0.98606

(c) . Volume of material to inspect such that the probability of at least one inclusion is 0.98

The probability of x ≥ 1 has to be equal to 0.98

P(x ≥ 1) = 0.98

P(x = 0) = p(x < 1)

            = 1 – p(x≥ 1) = 1 – 0.98

            = 0.02

Poission probability at k = 0

P(x = 0) = (2 n )0 e-2n / 0! = e-2n

e-2n = 0.02

taking ln on both sides :

-2 n = ln e-2n = ln 0.02

Divided by -2,

n = ln 0.02 / -2

    = 1.955

Volume is 1.955 mm3.

(d) Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.

The probability of x ≥ 1has to be at least 0.98

P(x ≥ 1 )≥ 0.98

P(x = 0 ) = p(x < 1 ) = 1 – p(x≥1) =  1- 0.98

           = 0.02

Poisson probability at k = 0

P(x = 0) = λ0 e-λ / 0! = e-λ

e-λ ≤ 0.02

taking ln on both sides:

ln e-λ ≤ ln 0.02

λ = ln 0.02 / -1

    = 3.912

Answer:

180 months

Step-by-step explanation:

15x12=180

Answer:

180 months

Step-by-step explanation:

Hope I helped:)

-Adiel

Answer:

x + 5 ≥ 25 [Inequality]

Minimum no. of hours = 15 hours

Step-by-step explanation:

Given :-

Price of video game console = $500

Money in hand = $100

Rate at which money is gained = $20/h

To Find :

Inequality to represent the situation

Variables :-

h = number of hours

Solving :-

20x + 100 ≥ 500

x + 5 ≥ 25 [Inequality]

x + 5 ≥ 20

x ≥ 15

Minimum no. of hours = 15 hours

Answer:

Make a presentation/video explaining how you convert the measures of length stated, using an object. Use different objects for different lengths. I'm guessing you do online school? So, send it to your teacher or instructor when you're done.

If we plot it, we see that the two inequalities have no commonality in any range of numbers.

Thus I think it never alerts.(( I'm not sure about it ))

Answer:

55°

Step-by-step explanation:

In the triangle towards the bottom-left, we can see that it is an iscosceles triangle, which means that the two angles opposite of those two sides are also equal. Along with this, a triangle will also only have 180° for the sum of all of its angles.

When you put another x in the angle next to the 37°, you get an equation similar to:

[tex]x+x+37+33 = 180\\2x + 70 = 180\\2x = 110\\x = 55[/tex]

x in this case will then be 55 degrees.

Answer: T = z - 3

Step-by-step explanation: "T" represents the total amount of money he has left, so T = z [Whatever amount he had to begin with] - 3 [The amount he lost]. Hope that this helps!

Another way to show this equation is with the slope-intercept for of y = x -3

The given area of the shape of 57.8·π cm², and length of the slant sides

being a factor of the radius, gives the length of the radius as 3.4 cm.

Given;

Radius of the two cones are equal.

Slant height of one cone = 2 × Radius

Slant height of the other cone = 3 × Radius

Surface area of the shape = 57.8·π cm²

The curved surface area of a cone = π·r·l

Required:

The radius of the cone.

Solution;

Surface areas of the cones are therefore;

π·r × 2·r, and π·r × 3·r

The total surface area is therefore;

π·r × 2·r + π·r × 3·r = 57.8·π

5·r²·π = 57.8·π

Which gives;

r² = 57.8 ÷ 5 = 11.56

r = √(11.56) = 3.4

Learn more about finding the surface area of 3-D shapes here:

https://brainly.com/question/15635229

Answer:

Step-by-step explanation:

your answer if 4