In an all boys school, the heights of the student body are normally distributed with a mean of 69 inches and a standard deviation of 3 inches. Using the empirical rule, determine the interval of heights that represents the middle 95% of male heights from this school.

Answer:

Step-by-step explanation:

Answer:

120 cm^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 15*8

A =120

Answer:

[tex] 1400 = x(x+10)= x^2 +10x[/tex]

We can rewrite this expression like this:

[tex] x^2 +10 x -1400 =0[/tex]

And we can use the quadratic formula given by:

[tex] x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

Where [tex] a =1 , b=10 , c= -1400[/tex]

And replacing we got:

[tex] x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}[/tex]

And solving we got:

[tex] x_1 =32.75 , x_2 = -42.75[/tex]

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

Step-by-step explanation:

For this case we know that we have a rectangular playground and the area can be founded with this formula:

[tex] A = xy[/tex]

Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:

[tex] y = 10 +x [/tex]

And replacing this formula into the area we got:

[tex] 1400 = x(x+10)= x^2 +10x[/tex]

We can rewrite this expression like this:

[tex] x^2 +10 x -1400 =0[/tex]

And we can use the quadratic formula given by:

[tex] x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

Where [tex] a =1 , b=10 , c= -1400[/tex]

And replacing we got:

[tex] x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}[/tex]

And solving we got:

[tex] x_1 =32.75 , x_2 = -42.75[/tex]

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

Answer:

Step-by-step explanation:

Given Data:

Area = 1400m²

L = 4+w

W= w

Area = L * W

1400 = ( 4+W) W ²

1400 = 4w + w ²

w ² + 4w - 1400 = 0

- b ± √ b ² - 4ac / 2a

Where;

a = 1

b = 4

c = -1400

- 4 ± √4² - 4(1)(-1400) / 2(1)

= - 4 ± 74.94 /2

= - 4 + 74.94 / 2 or - 4 - 74.94 / 2

= 35.47 or - 39.47

Answer:

60 millimeters

Step-by-step explanation:

1 centimeter is 10 milimeters. So, 6 centimeters is 60 millimeters.

*please mark brainliest*

Answer:

1/4

Step-by-step explanation:

A bag contains a total of 16 marbles

Red marbles = 8

Blue marbles = 8

The question says you pick randomly one marble and you return before picking another marble , which means, there is replacement.

Probability of picking the first red marble = 8/16

Probability of picking the second red marble = 8/16

Probability that both the first and second marble is red = 8/16 × 8/16

= 64/256 = 1/4

Therefore, the probability that both the first and second marbles are red = 1/4

Answer:

95 people ate pizza

Step-by-step explanation:

Add the ones highlighted

Answer:

number of tables in Honeycomb Cafe- No

number of patrons in Honeycomb Cafe at noon- No

number of minutes it takes to be served at Honeycomb Cafe- Yes

Step-by-step explanation:

Normal Distribution is for continuous data.

time is continuous but no. of tables and patrons is discrete

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

7√3

Step-by-step explanation:

tan 60 = v/7

√3 = v/7

v=7√3

Answer:

[tex]4 \sqrt{5 \\ } [/tex]

Answer:

The z-score associated with the upper boundary of of this price range is -0.25.

Step-by-step explanation:

It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.

If X represents the price range of drink sales, then

P (X < x) = 0.40

Consider that X follows a Normal distribution.

To compute the probability of a normally distributed random variable we need to first convert the raw score to the z-scores.

The formula to z-score is:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

Then,

P (X < x) = 0.40

⇒ P (Z < z) = 0.40

The value of z for this probability is:

z = -0.25

*Use a z-table.

Thus, the z-score associated with the upper boundary of of this price range is -0.25.

Answer:

-0.25

Step-by-step explanation:

correct on plato

Answer:

X= -2 Y=6

Step-by-step explanation:

Answer:

x= -2 y=6

Step-by-step explanation:

-2+6=4

6=-3 x -2

Answer:

9 units

Step-by-step explanation:

In a coordinate plane with point P( x , y) and Q(a,b ).

distance between these are points is given by equation

distance between PQ = [tex]\sqrt{(x-a)^2 + (y-b)^2}[/tex].

Coordinate of  subway stop = (7,3)

Coordinate of house = (4-5)

Therefore using the above the formula to calculate distance between

house and the subway stop is given by

distance = [tex]\sqrt{(7-4)^2 + (3-(-5)^2}\\\\=>\sqrt{(3)^2 + (3+5)^2}\\\\=>\sqrt{9 + (8)^2}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{73}\\\\=>8.544[/tex]

Therefore, distance between house and the subway stop is 8.544 units.

But it is given that distance should be to the nearest unit.

any decimal value greater than or equal to .5 is equivalent to 1 in nearest unit.

Thus, 8.544 units is equivalent to 9 units (in nearest unit)

Answer:

8 units.

Step-by-step explanation:

To find the y-intercept for the first equation: f(x)=2x²-4x+6, we can simply plug in '0' as 'x' to represent the y-intercept:

f(x)= 2(0)²-4(0)+6 ---> f(x)= 6

Therefore, the y-intercept of the first equation is (0,6).

-------------------------------------------------------------------------------

In the table, we can see that when x=0, y=-2. This is our y-intercept for the table.

When we find the difference between the two, we get:

6-(-2)= 8.

Answer:

Look below.

Step-by-step explanation:

I don't really want to explain... (just use Pythagorean's Theorem)

2a. 12

2b. 5

2c. 13

3a. 4

3b. 3

3c. 5

The c's are the hypotenuse.

Answer:

75 coloured pencils

Step-by-step explanation:

Let's say Jordon has x total pencils.

We know that 20% of these x pencils is 15, so we have:

20% * x = 15

Remember that % is just "out of 100", so 20% = 20/100 = 0.20. Then:

0.20x = 15

x = 15 / 0.20 = 75

Jordon has 75 coloured pencils.

Answer:

75 pencils

Step-by-step explanation:

Let the total no. of pencils be T

20% of T = 15

20/100 × T = 15

T = 15 × 100/20

T = 15 × 5

T = 75

Answer: A.) $19.48

B.) -$1.40

C.) The sign in B, the negative, means that if the price of the share were to continue dropping, then it will become negative.

Step-by-step explanation:

A. The price per share after 5 ​hours will be $19.48.

B. It will be $19.48 per share after 23 hours if this rate​ continues.

C. The sign indicates the company is at a loss.

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that, A​ company's stock began the day at ​$25.28 per share. That price drops by ​$1.16 each hour.

1 hour =  ​$1.16

5 hour =5 × $1.16

5 hours =$ 5.8 per share

The price drops per share after 5 ​hours are,

=$25.28-$ 5.8

=$19.48

B)

If the price drops by ​$1.16 each hour. The price after 23 hours will be,

1 hour =  ​$1.16

23 hour =23 × $1.16

23 hours =$ 26.68 per share

=$25.28 -$ 26.68

=-$1.40 per share

Thus, the price per share after 5 ​hours will be $19.48, It will be $19.48 per share after 23 hours if this rate​ continues and the sign indicates the company is at a loss.

Learn more about the rate of change here:

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Answer:

1. 24 ft

B. 2

3. 150

4. 34

5. 864

6. 1925

7. 480

8. 22440

Step-by-step explanation:

Answer:

Option 6

Step-by-step explanation:

To find the volume of a cone you use the formula 1/3*pi*r^2*h which would be pi*9^2*7. Then the volume of a cylinder is pi*9^2*50, so option 6 is right I believe.

Answer:

less than 1 and 1/2

Step-by-step explanation:

1/3 + 1/5 + 1/2 = 31/30 which is also equal to 1 1/30

Answer:so wut the answer?

Step-by-step explanation:im dum i dont know

Answer:

41.04

Step-by-step explanation:

thats the answer on khan academy :3 i hope this helps

the concentration of salt be after 10 hours is 14.04 grams per liter

Given :

The relationship between the elapsed time, t. in hours, after the dilution begins and the concentration of salt in the tank is given by

[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}[/tex]

here 't' is the time taken . and S(t) is the concentration of salt.

We need to find the concentration of salt S(t) after 10 hours

So , we need to find S(10)

Replace 't'  with 10 in the given equation

[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}\\S(10)=500e^{^{\:}\left(-\:0.25\cdot 10\right)\:}\\S(10)=41.04[/tex]

the concentration of salt be after 10 hours is 14.04 grams per liter

Learn more : brainly.com/question/16415326

Answer:

The probability that it is a cookie is   [tex]\frac{2}{15}[/tex]

Step-by-step explanation:

To find the probability  that it is a cookie if he chooses one at random;

probability = required outcome / all possible outcome

The all possible outcome will be gotten by adding up all the snacks. that is;

required outcome = 5 + 8 + 2 = 15

The required outcome is the snack he chooses, that is; required outcome = 2

Probability (of choosing a cookie) =required outcome / all possible outcome

                                                         =[tex]\frac{2}{15}[/tex]

Therefore, the probability that it is a cookie is   [tex]\frac{2}{15}[/tex]

Answer:

40 feet by 30 feet

Step-by-step explanation:

40 x 30 = 1200

40 is the length of the wall

30 is the height of the wall and is 3/4 of 40

Answer:

7183 cars

Step-by-step explanation:

On Friday, 2364 cars parked in the garage.

On Sunday, 2,455 more cars parked In the garage than on Friday.

This means that the number of cars parked on Sunday is 2455 plus the number of cars parked on Friday, that is:

2455 + 2364 = 4819 cars

Therefore, the number of cars parked in the garage in the two days is:

4819 + 2364 = 7183 cars

7183 cars were parked during the two days.

Answer:

this is the answer:5/6.

Answer:

= 5/6

Step-by-step explanation:

2/6 ÷ 4/5

= 2/6 × 5/4

= 10/24

= 5/6

Answer: x to the third power minus 10x to the second power plus 19x plus 6 .

Answer: Option C is most Appropriate.

C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.

Step-by-step explanation:

Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)

 Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)

Suppose, Preimage =ΔABC

Image =ΔA'B'C'

If you will find distance between two vertices of Both the triangles or length of sides of triangles

Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".

For the given situation,

The triangle ABC has points A(1,-1), B(1,-4), C(4,-4)

The triangle A'B'C' has points A'(1,5), B'(1,1), C'(4,1)

Plot these two triangles in the graph as shown below.

The graph shows the relation between the triangle ABC and A'B'C'.

Both the triangles are separated by different units and are not images of one another.

Hence we can conclude that Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.

Learn more about graphs here

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First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!

Answer:

c

Step-by-step explanation:

First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :

3.7x+4.3x-18=-3

Next, take the 18 and switch is so it will be with the 3:

3.7x+4.3x=-3+18

Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:

8x=15

x=15/8

Hope this helps, and sorry if I did the work wrong but the directions are 100% right!  :)

Answer:

x = 2,444

Step-by-step explanation:

3(12x - 24) = 16

36x - 72 = 16

36x = 16 + 72

36x = 88

x = 88/36

x = 2,444

Answer:

He will earn an interest of $448 in 4 years

Step-by-step explanation:

In this question, we are interested in calculating the interest earned on an investment for a period of 4 years.

To calculate this interest, we shall be using the formula for simple interest but with slight difference in terms definition

Mathematically;

I = PRT/100

Where ;

P is the amount invested which is $1,750 according to the question

R is the interest rate which is 6.4%

T is the time which is equal to 4 years

Plugging these figures, we have

I = (1,750 * 6.4 * 4)/100 = 44,800/100 = $448