3 students are in a race. How many ways can they finish in 1st, 2nd, and 3rd place?

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

If we're given that:

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not  given, then we can estimate it(in some cases) by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex]population standard deviation

For this case, we're specified that:

Thus, the value of the z-statistic is evaluated as:

[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87[/tex]

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

Learn more about z statistic here:

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Answer:

C

Step-by-step explanation:

All you have to do is divide 580 by 8.50 to easily distribute the money to each student equally.

Quantum numbers describe the states of electrons in their respective orbitals in an atom.

Quantum numbers are mathematical descriptions that show the possible states of an electron.

There are four types of quantum number

principal quantum number (n)

angular momentum quantum number (l)

magnetic quantum number (ml)

spin quantum number (ms)

The values for the principal quantum number (n) are integers greater than zero.

The values for the angular momentum quantum number (l) are integers from 0 to n - 1.

The values for the magnetic quantum number (ml) are integers from -l to l.

The values for the spin quantum number (ms) are -1/2 and 1/2.

Learn more about quantum numbers:

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Answer:

Step-by-step explanation:

Answer:

- more people need extra large sweatshirts than large sweatshirts

Answer: C

Step-by-step explanation:

More people need extra large sweatshirts than large sweatshirts.

Answer:

[tex]1.8 \text{ x } 10^5[/tex]

Step-by-step explanation:

Hello!

To multiply terms, we multiply the like terms.

Like terms:

Like terms are terms with the same degree or base. In this example, 1 and 1.8 are like terms by degree, and 10² and 10³ are like by base.

Multiply:

That's your solution! 1.8 x 10^5

Answer:4mL

Step-by-step explanation: if you multiply 18 by 2.2 you would get 39.6, you would divide by 10 to get 3.96, then you would round to the nearest whole number so you’d get 4.

By using a change of units, we will see that the dog needs 4 mL of medication.

Here we need to see how many pounds are in 18 kilograms, using the relation:

1kg = 2.2lb

We get:

18 kg = 18*(2.2lb) = 39.6 lb

Now, for each 10 lb, we add 1mL of medication, then we need to divide the mass of the dog by 10lb, we get:

M = (39.6 lb)/(10 lb) = 3.96

Rounding to the next whole number we get 4, so the dog needs 4 mL of medication.

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Answer:

No, 20 ≠ -10

Step-by-step explanation:

20 = (-10) = (-20)+10

20≠-10=-20+10

20≠-10=-10

Answer:

10/21

Step-by-step explanation:

5

7

+

2

3

=  

5 × 3

7 × 3

+

2 × 7

3 × 7

=  

15

21

+

14

21

=  

15 + 14

21

=  

29

21

=  

1 8

21

[tex]Hello[/tex] [tex]There![/tex]

Let's do this step-by-step explanantion!

[tex]\frac{5}7}[/tex] × [tex]\frac{2}{3}[/tex]

Apply the fraction rule:

[tex]\frac{5x2}{7 x 3}[/tex]

Multiply the numbers: [tex]5[/tex] × [tex]2=10[/tex]

[tex]=\frac{10}{7 x 3}[/tex]

Again, Multiply the numbers: [tex]7[/tex] × [tex]3=21[/tex]

[tex]=\frac{10}{21}[/tex]

Answer:

[tex]\frac{10}{21}[/tex]

Also, sorry. I wasn't able to give you a model.

Hopefully, this helps you!!

[tex]OwoSokka[/tex]

Answer:

option 3

Step-by-step explanation:

6(3√5)

Answer:

Cross multiply

Step-by-step explanation:

Answer:

10 mins

Step-by-step explanation:

i hope this helps

Answer:

10 minutes.

Step-by-step explanation:

10 x 3 is 30.

Step-by-step explanation:

Right away i notice the 45° angle and the 90° angle in triangle RTQ, this means that the remaining angle must be 180-(90+45)=45°.

If it isn't obvious yet, triangle RTQ is a right isosceles triangle where RT=RQ=x.

Now looking at my other triangle RST

I know that RT=x, RS=2√3 and ST is unknown.

So i cannot apply my Pythagorean theorm.

HOWEVER i do notice 60 degree angle and the 90 degree angle, which means that the last angle must be 180-(90+60)=30° and this triangle (RST) must be a half equilateral triangle;,

Now i can use the relation which describes the relation between the hypotenuse(x) and the side opposite or facing the 60° angle (RS=2√3).

RS=x√3/2

2RS=x√3

2×2√3=x√3

4√3=x√3

4√3/√3=x

x=4 :P

Answer:

(a) To find the missing angle, we would do inverse tan.

[tex]angle =tan^{-1}\frac{opp}{adj}[/tex]

[tex]angle = tan^{-1}\frac{17}{21}[/tex]

angle= 39.0 degrees or 0.7 radians

(b) To find the missing angle, we would do inverse sin.

[tex]angle= sin^{-1}\frac{opp}{hyp}[/tex]

[tex]angle= sin^{-1}\frac{12.7}{22.1}[/tex]

angle= 35.1 degrees or 0.6 radians

Answer:

20/75 is lesser than 26

Step-by-step explanation:

Hope this helps U

Answer:

Less than

Step-by-step explanation:

Simply convert 20/75 and compare the two:

0.26 O .266666666666666666666666

0.26 < .2666666666666666666666666

Therefore, 0.26 is less than 20/75

The red figure is the original and the green the dilation. We know this because the dilated points are marked with '.

Therefore, we can see that the dilation is a reduction of the original figure. The figure got smaller in size after the dilation.

To find the scale factor, we'll need to look at a few of the points before and after the dilation.

A = (-4, 4)

A' = (-2, 2)

C = (0, 4)

C' = (0, 2)

---The scale factor will be the same on all the points, which is why I have selected only 2 sets of points to look at.

Now, we can figure out the scale factor by thinking about how -4 got to -2, how 4 got to 2. In this case, it is simply dividing by 2. The scale factor must be in multiplication, so we cannot use division in reporting the scale factor, it must be a fraction.

2 / 4 = 1 / 2

The scale factor, therefore, is 1/2.

Hope this helps!

Answer:

a) A reduction.

b) 0.5 or 1/2

Step-by-step explanation:

a) The new points are indicated by the ' next to the letters. By observing the graph, we can see that new points have lessened, and therefore shrank the dialtion, so it is a reduction.

b) On each point, it is reducted by 0.5.

Point A went down from 4 to 2, which is half of 4.

Point B went down from -2 to -1, which is half of -2.

Point C went down from 4 to 2, which is half of 4.

Point D went down from 8 to 4, which is half of 8.

hope this helps!

Answer:

Step-by-step explanation:

Radius = circumference / 2π

= 43.96 / 2π

= 7.00 yards to the nearest hundredth.

Answer:

It’s irrational hope this is correct

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Convert both to decimals

[tex]\\ \rm\Rrightarrow x=0.147147\dots [/tex]

[tex]\\ \rm\Rrightarrow 1000x=147.147..[/tex]

Hence..

On similar way we can get second one

So if

Then

For the hole in the above triangular, the area that we need is the area of the rectangular hole i.e length times breadth that is 3 × 2 = 6

Hence, 6 sq. ft. carpet will be needed

#1

Area:-

#2

Area:-

#3

Area of the white part=Area of circle-Area of square

#4

Probability

#5

Probability

Answer:

1. 63.62 in².

2. 16 in².

3. 47.62 in².

4. 0.25 .

5. 0.74 .

Step-by-step explanation:

1.

Solution,

Given,

Diameter = 9 inch.

Now,

Area = πr²

Diameter = r²

Then,

Area = 1/4 πd²

= 1/4 π9²

= 63.62 in².

2.

Solution,

Given,

Length of a Side = 4 inch.

Now,

Area = L²

= 4²

= 16 in².

3.

Solution,

Given,

Area of the Circle = 63.62 in².

Area of the Square = 16 in².

Now,

Area of The White Part of the Circle = Area of Circle - Area of Square

= 63.62 in² - 16 in².

= 47.62 in².

4.

Solution,

Given,

Area of the Square = 16 in².

Area of the Circle = 63.62 in².

Now,

The probability of landing in the Square = Square Area / Circle Area

= 16 / 63.62

= 0.25 .

5.

Solution,

Given,

White Part of the Circle = 47.62 in².

Area of the Circle = 63.62 in².

Now,

The probability of landing in the white Part = White Area / Circle Area.

= 47.62 / 63.62

= 0.74 .

Hello!

Let the unknown number be x.

Subtract 5:

x-5

Double the result: (multiply the result times 2):

2(x-5)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

4 and 4

Step-by-step explanation:

4 times 4 is 16 which would equal the area.

Answer:

x ≤ -7

Step-by-step explanation:

On the graph we can see that:

-the pink solid line is where x= -7 and y can have any value, so is either first or second choice.

-the pink area includes numbers that are equal or less then -7 ( such as -8, -9,-10,...) so the inequality must be x ≤ -7 (the second choice. )

See the line is parallel to y axis

So

X is constant -7

Hence the inequality is

Answer:

This is true

Step-by-step explanation:

Answer:

347 and 865

Step-by-step explanation:

Let the two number be x and y

Therefore, from the given information:

x + y = 1212

x - y = 518

Rewrite both equations to make x the subject:

x = 1212 - y

x = 518 + y

Equate equations and solve for y:

1212 - y = 518 + y

     694 = 2y

         y = 347

Substitute found value of y into one of the equations and solve for x:

x = 518 + 347

x = 865

Therefore, the two numbers are 347 and 865

Answer:

280 cups total.  

Step-by-step explanation:

Tricky.  The explanation and answers are on attached images.

Answer:

Let c=cost of dinner, 5=the # of people, and P=the cost of person

P=C/5

b. P = (1000)/5

P = 200

Step-by-step explanation:

Answer:

Answer is 138

Step-by-step explanation:

I took the test and it was 138

The answer to your question would be 54

Work Shown:

5-2(5-27+5

Calculate with parenthesis (5-27): -22

5-2(-22)+5

Multiply and divide (left to right) 2(-22): -44

5-(-44)+5

Add and subtract (left to right) 5-(-44)+5

54