There are 15 students on the debate team. Of these, 3 are boys. Give the ratio of boys to girls on the debate team in simplest form.​

Answer:

(a)7.185

(b)0.000371

(c) 0.019

(d)Sample variance and Sample standard deviation

Step-by-step explanation:

We are given the following sample data.

7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.

(a) Calculate the sample mean. Round your answer to 3 decimal places.

The formula for sample mean =

Sum of terms/Number of terms

= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8

= 57.48/8

= 7.185

(b) Calculate the sample variance. Round your answer to 6 decimal places.

The formula for sample Variance =

(x - mean)²/n - 1

n = 8

Sample variance = (7.15 - 7.185)² + (7.20-

7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1

= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7

= 0.0026/7

= 0.000371428571

Approximately to 6 decimal places = 0.000371

(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.

The formula for Sample Standard Deviation = √Sample variance

= √0.000371428571

= 0.01927248223

To 3 decimal places = 0.019

(d) Which of the following are potential major sources of variability in the experiment

Sample variance

Sample standard deviation

Answer:

is this a test

Step-by-step explanation:

kshsjwoo2o1k1 snsn

Answer:

y=5/4x-8

Step-by-step explanation:

put ito slope intercept form and then using the slope put y intercept in order for it to be true

The required equation of line will be y = 1.25x - 8.

It is given that a line passes through a point (8,2) and is parallel to the line 5x - 4y= 36.

We have to find out the equation of the line.

What is the general equation of a line ?

The equation of a line is y = mx + c , where m = slope of line.

As per the question ;

The line is parallel to another line 5x -4y = 36.

∴ 5x - 4y = 36

4y = 5x - 36

diving by 4 on both sides ;

y = (5/4)x - (36/4)

y = 1.25x - 9

After comparing with the general equation of a line y = mx + c. We found that value of slope m = 1.25.

So,  the parallel line will have the same slope.

∴ y = 1.25 x + c

As the line passes through point (8,2) , hence x = 8 and y =2. After putting this value in the above equation we get ,

2 = 1.25 × 8 + c

∴ c = 2 - 10 = - 8

c = - 8

And the final equation of the line will be ,

y = 1.25 x - 8.

Thus , the required equation of line will be y = 1.25x - 8.

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Using Pythagoras theorem,

[tex]\sf a^2 + b^2 = c^2[/tex]

Where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the two legs of the triangle, and [tex]\sf c[/tex] is the Hypotenuse.

Putting the given values:

[tex]\sf 5^2 + b^2 = 8^2 \\ \longrightarrow \sf b^2 = 64 - 25 \\ \longrightarrow \sf b^2 = 39 \\ \longrightarrow \sf b = \sqrt{39}\:\:inches[/tex]

Hence, the length of the other leg is,

[tex]\leadsto \underline{\boxed{\mathfrak{\pink{\sqrt{39}\:\:inches}}}}[/tex]

Answer:

0.8

Step-by-step explanation:

6/10=0.6

0.6/3=0.2

0.2*4=0.8

I hope it's correct

Answer: -4 Please mark brainliest if I am right :D

Step-by-step explanation:

Let's solve your inequality step-by-step.

3(x+4)−x>4

Step 1: Simplify both sides of the inequality.

2x+12>4

Step 2: Subtract 12 from both sides.

2x+12−12>4−12

2x>−8

Step 3: Divide both sides by 2.

2x/2 > -8/2

x>−4

Answer:

x>−4

Answer:

C.-4

Step-by-step explanation:

3(x)+3(4)-x>4

3x+12-x>4

2x>-8

2x/2>-8/2

x>-4

Answer:

6

Step-by-step explanation:

You have to find what to multiply by to get to the next term

-30 ÷ -5 = 6

- 180 ÷ -30 = 6

therfore the common ratio is 6

Answer:

C: up two over 1

Answer:

There are NO solutions

Step-by-step explanation:

On the left hand side, we have an absolute value;

which means that the left hand side will always be greater than or equal to 0

On the right hand side, we have a negative value;

Since the LHS can NEVER be negative, it will never be less than a negative number

Hence, No value of y can make this equation true

Answer:

8/5=x

Step-by-step explanation:

1/2x+12=8x

Subtract 1/2x from both sides

12=15/2x

Multiply 2/15 on both sides

8/5=x

Answer:

9 feet

Step-by-step explanation:

Square root 81 as all the sides of the porch are the same length

Answer:

The temperature in Miami is 9/5 times the temperature in San Diego.

Step-by-step explanation:

Ratios

To compare the temperature in Miami (45) with the temperature in San Diego (25), we use the division or ratio between both numbers:

[tex]\displaystyle \frac{45}{25}[/tex]

Simplify the fraction dividing by 5:

[tex]\displaystyle \frac{9}{5}[/tex]

Since the relation between them is 9/5, it means the temperature in Miami is 9/5 times the temperature in San Diego.

Answer:

Stop yellin

Step-by-step explanation:

Answer:

v=-5

Step-by-step explanation:

39=4 -7v

39-4= (4-4) -7v

35=-7v

35/-7= -7v/-7

-5=v

Answer:

the answer is A. -16

Step-by-step explanation:

3(-16)+3= -45

-45/5=

-9

5(-16)-1=-81

-81/9=

-9

-9=-9

Let x be the amount of pure water that you use.

The solution you have contains 0.45 • 180 mL = 81 mL of alcohol.

However much water you use, it won't add any alcohol to the solution, so only its total volume changes. Its new volume would be (180 + x) mL. You want the new solution to have a concentration of 15% so that

(81 mL) / ((180 + x) mL) = 0.15

Solve for x :

81 / (180 + x) = 0.15

81 / 0.15 = 180 + x

540 = 180 + x

x = 360

Then the new solution will have a total volume of 180 mL + 360 mL = 540 mL.

So you need to use 360 mL of pure water to get 540 mL of 15% solution.

Answer:

The 39th triangle number is 780

Answer:

uhmmmmm... i no understand...

Step-by-step explanation:

Answer:

25 baggies; each bag has 2 blueberry scones, and three cranberry scones.

Step-by-step explanation:

The question format is a bit bugged, but I assume the question is asking "You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. What is he greatest number of bags you can fill?"

The first thing to realize when solving this question is that whatever the answer is equal to, it must be able to be equally divided from both 50 and 75, otherwise it will have a remainder, and at least one bag will have too many or not enough scones.

This means that the answer must be a factor of both 50 and 75.

The factors of 50 includes {1, 2, 5, 10, 25, 50}

The factors of 75 includes {1, 3, 5, 15, 25, 75}

In the two sets, only 1, 5, and 25 are common factors. Of the three factors, 25 is the greatest number, and thus the greatest number of bags that can you can fill.

Complete Question

The  complete question is shown on the first uploaded image

Answer:

The  probability is  [tex]P(X \ge 1 ) = 0.003996[/tex]

Given that the probability is less than 0.05 , it means that it is  low enough so that further testing of the individual samples is rarely​ necessary

Step-by-step explanation:

From the question we are told that

     The probability of finding bacteria in a public swimming area  is  p =  0.002

 Generally the probability of not finding bacteria in a public swimming area  is mathematically represented as

      [tex]q = 1- p[/tex]

=>    [tex]q = 1- 0.002[/tex]

=>   [tex]q =0.998[/tex]

Generally the the probability that a combined sample from public swimming areas will reveal the presence of bacteria is equivalent to the probability that at least one of the sample will reveal the  presence of bacteria and this is mathematically represented as

       [tex]P(X \ge 1 ) = 1 - P(X')[/tex]

Here  [tex]P(X')[/tex] means that none of the 2  sample have bacteria which is mathematically represented as

       [tex]P(X') = q^2[/tex]

Here 2 signifies that we are considering two samples  

So  

        [tex]P(X') = 0.998^2[/tex]

        [tex]P(X') = 0.996004[/tex]

So

       [tex]P(X \ge 1 ) = 1 - 0.996004[/tex]

=>     [tex]P(X \ge 1 ) = 0.003996[/tex]

29jsfsouodpolfkldsfmdsfsdfdssfsdfsadfsd I GOT THE ANSWER IT IS 5

Answer:x=45 y=60 x=75

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Mr. Brown

72 magazines/ 24 students = 3 magazines per student

Mrs. Garcia

98 magazines/ 28 students = 3.5 magazines per student

Mrs. Garcia sold more per student

Answer:

3.012 × 10^ − 6

Step-by-step explanation:

hope this helps

Answer:

A=8

b=15

c=40

Step-by-step explanation:

5/8 as well as 10/16 = .625

a=8 blocks for 5 min given in question

b:24*0.625=15

c:25*40=.625 or 8 * 5=40 , since 5×5=25 taking 1st column times 5

Answer:

6 muffins

she can fit 6 into each box because 20 divided by 3 is eighteen with a remainder of 3. 18 goes into 3 6 times.

Answer:

1 mile every 57 seconds I belive

Step-by-step explanation:

Answer:

5.64/12= .47 but that box cost 10cents more than box B so you then you subtract .10 and get .37 per ounce for box B

69 Pages are left to read by Tim.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total pages= 230

Percentage of reading = 70%

So, number of Pages Tim reads

= 70 /100 x 230

= 161 pages

Hence, number of pages left = 230- 161 = 69 pages

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Answer:

64π or 201.0619298297

Step-by-step explanation:

Area of a circle: πr²

To find r, the radius of the circle, take the diameter (16) and halve it to get 8. You can now place 8 into the equation to get π8². Square 8 to get 64. You now now have π64, or 201.0619298297.

Answer:

16 cm

Step-by-step explanation:

I hope this helps!

Answer:

16cm

Step-by-step explanation:

To find area of a square, multiply a side by itself.

4 x 4 = 16