In an all boys school, the height of the student body are normally distributed with a mean of 69 inches and a standard deviation of 5 inches. using the empirical rule, what percentage of the boys are between 54 and 84 inches tall?

Answer:

B. y = 4x

2 + 4

Step-by-step explanation:

sana nakatulong

Answer:

Step-by-step explanation:

1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.

2.) 1.07*$450 = $481.50, including sales tax (final price)

3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)

4.) 100-35-45 = 20%

250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.

Answer:

You'd need 2/5 of 9.2 pints of blue paint

2/5 * 9.2 = .4 * 9.2 = 3.68 pints of blue paint

Step-by-step explanation:

Answer:

The great common factor is:

Steps:

given:

4x²yz³ = 2²x²z²yz

4x²yz³ = x(2z)²xyz

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

12xz² = 4×3xz²

12xz² = 2²3xz²

12xz² = x(2z)²3

The great common factor is: x(2z)²

Answer:

4xz^2.

Step-by-step explanation:

GCF of 4 and 12 is 4

GCF of x^2 and x is x.

GCF of z^3 and z^2 is z^2.

Answer: 2/21

Step-by-step explanation:

5[5y -6] = 4[y -7]

We first need to open the bracket to be able to solve the question

25y - 30 = 4y - 28

Collect like terms

25y - 4y = -28 + 30

21y = 2.

y = 2/21

Therefore, the value for y is 2/21.

- 17 woule be the correct answer for the equation being simplified

Answer:

For edge

Step-by-step explanation:

The first one is -3

The second one is -6

The last one is -17

Answer:

area of triangle=1/2×base×height

area of triangle=1/2×24×7

area of triangle=84unit²

Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

Answer: c

Step-by-step explanation:

Answer:

again, did some reading, they make note of continuing battle to support Serbia. I saw nothing of Japan. so my calculated guess would be the 2nd one. to continue in battle even with heavy casualties

Step-by-step explanation:

doesn't mean I'm right though.

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180

Answer:

The answer is A

Step-by-step explanation:

just got it right on edge :)

The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

A rotation is a type of transformation that rotates each point in a figure a specific number of degrees around a particular point.

When we rotate a point around the origin by 90° clockwise or anti-clockwise, (x,y) becomes (y,-x) .

- Then matrix of the rotation 90° is

[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex]

We have the point U (-4, 7) and its image is

U' =[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-4\\7\end{array}\right][/tex]

U' = [tex]\left[\begin{array}{ccc}-7\\-4\end{array}\right][/tex]

and, point V is (5, 4) and its image is

V' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\4\end{array}\right][/tex]

V' = [tex]\left[\begin{array}{ccc}-4\\5\end{array}\right][/tex]

and, point W is (5, -5) and its image is

W' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\-5\end{array}\right][/tex]

W' = [tex]\left[\begin{array}{ccc}5\\5\end{array}\right][/tex]

So, The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

Learn more about Rotation here:

https://brainly.com/question/12518192

#SPJ3

Answer:

Step-by-step explanation:

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

-

b

±

b

2

-

4

(

a

c

)

2

a

Substitute the values

a

=

2

a

=

2

,

b

=

−

6

b

=

-

6

, and

c

=

5

c

=

5

into the quadratic formula and solve for

x

x

.

6

±

√

(

−

6

)

2

−

4

⋅

(

2

⋅

5

)

2

⋅

2

6

±

(

-

6

)

2

-

4

⋅

(

2

⋅

5

)

2

⋅

2

Simplify.

Tap for fewer steps...

Simplify the numerator.

Tap for fewer steps...

Raise

−

6

-

6

to the power of

2

2

.

x

=

6

±

√

36

−

4

⋅

2

⋅

5

2

⋅

2

x

=

6

±

36

-

4

⋅

2

⋅

5

2

⋅

2

Multiply

−

4

-

4

by

2

2

.

x

=

6

±

√

36

−

8

⋅

5

2

⋅

2

x

=

6

±

36

-

8

⋅

5

2

⋅

2

Multiply

−

8

-

8

by

5

5

.

x

=

6

±

√

36

−

40

2

⋅

2

x

=

6

±

36

-

40

2

⋅

2

Subtract

40

40

from

36

36

.

x

=

6

±

√

−

4

2

⋅

2

x

=

6

±

-

4

2

⋅

2

Rewrite

−

4

-

4

as

−

1

(

4

)

-

1

(

4

)

.

x

=

6

±

√

−

1

⋅

4

2

⋅

2

x

=

6

±

-

1

⋅

4

2

⋅

2

Rewrite

√

−

1

(

4

)

-

1

(

4

)

as

√

−

1

⋅

√

4

-

1

⋅

4

.

x

=

6

±

√

−

1

⋅

√

4

2

⋅

2

x

=

6

±

-

1

⋅

4

2

⋅

2

Rewrite

√

−

1

-

1

as

i

i

.

x

=

6

±

i

⋅

√

4

2

⋅

2

x

=

6

±

i

⋅

4

2

⋅

2

Rewrite

4

4

as

2

2

2

2

.

x

=

6

±

i

⋅

√

2

2

2

⋅

2

x

=

6

±

i

⋅

2

2

2

⋅

2

Pull terms out from under the radical, assuming positive real numbers.

x

=

6

±

i

⋅

2

2

⋅

2

x

=

6

±

i

⋅

2

2

⋅

2

Move

2

2

to the left of

i

i

.

x

=

6

±

2

i

2

⋅

2

x

=

6

±

2

i

2

⋅

2

Multiply

2

2

by

2

2

.

x

=

6

±

2

i

4

x

=

6

±

2

i

4

Simplify

6

±

2

i

4

6

±

2

i

4

.

x

=

3

±

i

2

x

=

3

±

i

2

The final answer is the combination of both solutions.

x

=

3

2

+

i

2

,

3

2

−

i

2

x

=

3

2

+

i

2

,

3

2

-

i

2

Answer:

approximately 75 times

Answer:

approximately 75 times

Step-by-step explanation:

Answer:

7.6

Step-by-step explanation:

radius is half the diameter so multiply 3.8 times 2.

Answer: B. 40

Step-by-step explanation:

We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40

m<3=60°

Answer:

m<4+m<3=90° each angle of rectangle is 90°

m<3=90-30=60°

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Answer: 1/2

Explanation:

1/4 - (-1/4) = 1/4 + 1/4 = 1/2

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

12.5y/x

Step-by-step explanation:

125y²/10xy​ = 12.5y/x

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

Answer:

y = 5x - 40

Step-by-step explanation:

The function rule can be written in slope-intercept form, y = mx + b.

Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.

✔️Slope (m) = change in y / change in x

Using two pair of values from the table, (10, 10) and (12, 20),

Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5

Slope (m) = 5

✔️ y-intercept (b):

Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.

Thus:

10 = 5(10) + b

10 = 50 + b

10 - 50 = b

b = -40

✔️Write the function by substituting m = 5 and b = -40 into y = mx + b

Thus:

y = 5x + (-40)

y = 5x - 40

Answer:

[tex]x = 32 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k first.

When y= 35, x= 14,

[tex]35 = \frac{k}{14} [/tex]

k= 14(35)

k= 490

Substitute the value of k into the equation:

[tex]y = \frac{490}{x} [/tex]

When y= 15,

[tex]15 = \frac{490}{x} [/tex]

15x= 490

x= 490 ÷15

[tex]x = 32 \frac{2}{3} [/tex]

Answer:

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Step-by-step explanation:

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Answer:

5/22 and for the decimal it will be, 0.22727272727273.

Step-by-step explanation:

Answer:

D 40°

Step-by-step explanation:

52= X + 64 /2

*2.      *2

104 = X + 64

-64        -64

40 =X

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

I think you forgot to add the picture. However, any x = 4 equation will result in a graph with a vertical line on the x-axis. For example x = 20 will be a vertical line on x-axis 20.

Or, in a more difficult equation like this...

10x - 60 = 10

10x = 10 +60

10x = 70

x = 7,

where the graph looks like a vertical line with a point on the x axis on 7.