Of the 25 students who take a standardized test, the minimum score is 98 and the maximum score is 312. The mean score is 216. Standard deviation is 52. What is the number of standard deviations that includes all the data values?

Answer:

Step-by-step explanation:

a=4 square units

b=9 square units

sqrt (4+9)

(sqrt(13))^2

c= 13 square units

Answer:

[tex]m\angle Y=30^{\circ}[/tex]

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

[tex]\cos Y=\frac{42\sqrt{3}}{84},\\Y=\arccos(\frac{42\sqrt{3}}{84})=\boxed{30^{\circ}}[/tex]

The domain of the function represented by the graph is x ≥ 0

The function is represented by the graph of the function

From the given graph, we have the following observations

This means that the function has a domain of all set of real values greater than or equal to 0

This is represented as

x ≥ 0

So, the domain is x ≥ 0

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Answer:

[tex]A=2x^2+8x+6\ yards^2[/tex]

Step-by-step explanation:

Step 1, finding the dimensions:

The width of Stacy's room is x, so the length must be 2x. (Her length of the room is two times the width.)

Her sister's room is 2 yards longer and 3 yards wider than Stacy's room. We have:

Length: [tex]2x+2[/tex]

Width: [tex]x+3[/tex]

Great! Let's find the area now.

Step 2, finding the area:

The area of a rectangle is [tex]A=l*w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle. We already know both, so we can plug it in the equation:

[tex]A=(2x+2)(x+3)[/tex]

We can expand and simplify:

[tex]A=2x^2+2x+6x+6\\A=2x^2+8x+6\ yards^2[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

-13.04.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ratio would be 36:4. The bigger number is on either side but when it concludes "for" means it's a ratio.

Answer:

20 and 40

Step-by-step explanation:

20 doubled is 40

The difference is 20

Hope this helps! :)

Answer:

20,20

(20 x 2) - 20 = 20

Step-by-step explanation:

2x=y

x-y=20

(20 x 2) - 20 = 20

Answer:

The answer would be the third one, 3(x -2)=18

Answer:

x = 60°

Step-by-step explanation:

∠ CGE = ∠ FGD = 30° ( vertical angles )

∠ CGB = 90° , then

x + 30° = 90° ( subtract 30° from both sides )

x = 60°

Answer: 20,403.72ft3

Step-by-step explanation:Volume formula for cylinder is   = 2h

V=Volume

=pi=3.14

r=radius

h=height

Step 1: find the radius.

Diameter=38

so divide 38 by 2

=19

Step 2: Plug in and solve for Volume.

V=3.14x19^2x18

= V=1133.54x18

= V=20,403.72

Answer:

192 i think

Step-by-step explanation:

Answer:

[tex]x=2\sqrt3\ km[/tex]

Step-by-step explanation:

Given that,

The base of a triangle = 2 km

The perpendicular height of the triangle = [tex]2\sqrt{2} \ km[/tex]

We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :

[tex]x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km[/tex]

So, the value of x is equal to [tex]2\sqrt3\ km[/tex].

Answers:

1.) x - 3, x < -3

2.) x - 3, x>3

3.) x - 3, -3 <_ x > 3

4.) 2/5, 3/6

5.) 8, 10

12 students

Step-by-step explanation:

40 % ×30 students = 1200 ÷ 100% =12students

Answer:

A

Step-by-step explanation:

Answer:

It's the third option.

Step-by-step explanation:

the answer is b and c

sorry if im wrong

Answer:

i=10^5

eq is 2^n*i

hence 2^3*10^5

8*100000

=800.000 bacteria

pls mark as brainliest

Answer:

When dropped from 450 feet, the crate and medical supplies will not survive the impact

Step-by-step explanation:

The impact that the crate can withstand when dropped = 165 ft,/sec

The function for the height of the crate at 450 ft. = 450 - 16·t²

The time the crate will land after drop = 5.3 sec

Therefore, we have;

Velocity, V(t) = d(h)/dt

∴ v(t) = d(450 - 16·t²)/dt = -32·t

Given that the time the cate lands after drop, t = 5.3 seconds, we have;

The velocity at 5.3 seconds after drop, v(5.3) = -32 × 5.3 = -169.6

The velocity at 5.3 seconds after drop, v(5.3) = 169.6 ft./sec. (downwards)

Therefore, given that the velocity of the crate at 5.3 seconds (169.6 ft./sec.) is higher than the velocity at which the crate can withstand an impact (165 ft./sec.) the crate and medical supplies will not survive.

Answer:

Step-by-step explanation:

to convert the fraction to percentage just multilpy the fraction will 100%

1/5

1/5*100%

100%/5

20%

12/100

3/25

0.12

or in division decimal point goes to the right side

12 can also be written as 12.00 so move the decimal point 2 unit right which becomes .12 .In this case we should move 2 units right because there it is divides by hundred and there are 2 zeros in number hundred.Remember how many units to move right depends upon the number it is divided with.

1/5 is equal to 20% when expressed as a percentage and 12/100 is equal to 0.12 when expressed as a decimal.

To convert 1/5 to a percentage, we can multiply it by 100.

(1/5) * 100 = 20%

Therefore, 1/5 is equal to 20% when expressed as a percentage.

To convert 12/100 to a decimal, we divide the numerator (12) by the denominator (100).

12 ÷ 100 = 0.12

Therefore, 12/100 is equal to 0.12 when expressed as a decimal.

When converting a fraction to a percentage, we multiply the fraction by 100. In this case, 1/5 is equivalent to 0.2 as a decimal. Multiplying it by 100 gives us 20%, expressing the fraction as a percentage.

When converting a fraction to a decimal, we divide the numerator by the denominator. In the case of 12/100, dividing 12 by 100 gives us the decimal representation of 0.12.

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Answer:

294(p)^7

Step-by-step explanation:

7(p)^2 x 3p x 14(p)^4

=> 7 x 3 x 14 x (p)^2 x (p) x (p)^4

=> 21 x 14 x (p)^(2+1+4)

=> 294(p)^7

Answer:

75

Step-by-step explanation:

f(1) = 7

f(n) = 3f(n-1) + 3

So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.

So let's try f(2)

That means that f(2) = 3*f(n-1) + 3

but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.

so f(2) = 3*f(1)+3

f(2) = 3*7 + 3

f(2) = 21 + 3

f(2) = 24

Now do it again. We now know F(2), so we should be able to find f(3)

f(3) = 3*f(3 - 1) + 3  

f(3) = 3*f(2) + 3      We know that f(2) = 24

f(3) = 3* 24 + 3

f(3) = 72 + 3

f(3) = 75

Answer:

V=864 cubic feet

Step-by-step explanation:

Volume of a rectangular prism is Length x width x depth

So V=12x8x9

V=864 Cubic feet

Answer and Step-by-step explanation:

To find the answer, we need to get S by itself. To do so, we multiply both sides of the inequality by 9.

S > 108

So, S is greater than 108.

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answer:

20 out of 798

Step-by-step explanation:

6x4=20

Answer:

C and E

Step-by-step explanation:

The one on the left in the tens place, is ten times more than the one on the right