The most common IQ tests have a standardized mean of 100 and a standard deviation of 15. Based on this information, use the empirical rule to answer the following question: If approximately 348 prospective college students are tested for their IQ, approximately how many will fall within one standard deviation of the mean

Answer:

[tex]2(25)^{\dfrac{1}{3}}[/tex]

Step-by-step explanation:

The volume of a cube is 200 cm².

We need to find the edge length of the cube.

The formula for the volume of a cube is given by :

[tex]V=a^3[/tex]

a is the side of the cube

[tex]a=\sqrt[3]{200} \\\\=(200)^{\dfrac{1}{3}}\\\\=(25\times 8)^{\dfrac{1}{3}}\\\\=(25)^{\dfrac{1}{3}}\times (8)^{\dfrac{1}{3}}\\\\=2(25)^{\dfrac{1}{3}}[/tex]

So, the edge length of the cube is [tex]2(25)^{\dfrac{1}{3}}[/tex].

Answer:

x = 18

Step-by-step explanation:

So, we know that the formula for volume is the base of the shape * height. So, 6x is the area of the base because the area of a triangle is (l * W)/2. Next, we have to multiply 6x by the height of the shape. The height is 6, so the volume of the shape will 36x. Since we have the actual volume, all we have to do is divide 648/36 to get 18.

Answer:

9+10=19 but if you are talking about the meme 21

Step-by-step explanation:

Answer:

8a. x = 16√3

8b. y = 8√3

Step-by-step explanation:

8a. Determination of the value of x

Adjacent = 24

Hypothenus = x

Angle θ = 30°

The value of x can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent /Hypothenus

Cos 30 = 24 / x

√3/2 = 24/x

Cross multiply

x × √3 = 2× 24

x × √3 = 48

Divide both side by √3

x = 48/√3

Rationalise

x = 48/√3 × √3/√3

x = 48√3 / √3 × √3

x = 48√3 / 3

x = 16√3

8b. Determination of the value of y

Opposite = y

Adjacent = 24

Angle θ = 30°

The value of y can be obtained by using Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = y / 24

1 / √3 = y /24

Cross multiply

y × √3 = 1 × 24

y × √3 = 24

Divide both side by √3

y = 24 /√3

Rationalise

y = 24 /√3 × √3/√3

y = 24 ×√3 / √3 × √3

y = 24√3 / 3

y = 8√3

Answer:

It would have to be (C) 50.27 because 25 is too short for a diameter of 8 seeing it would be 8x4 to get 32 in which 25 is not long enough for. So the answer is C.

Answer:

1

Step-by-step explanation:

The answer is simply 1 as the leading term, x^4 has a coefficient of 1.

Problem 17

The graph is shown below.

The domain is [tex]x \ge -1[/tex] which is found by solving [tex]x+1 \ge 0[/tex]. This is done to ensure that the stuff under the square root is not negative. Note the left-most point of the graph has x = -1 as its x coordinate.

The domain in interval notation is [tex][-1, \infty)[/tex] we have a square bracket at -1 and a curved parenthesis at infinity.

The range is [tex]y \le 3[/tex] based on what the graph shows. This is directly tied to the +3 at the end of the function. The parent's function max value is y = 0, so that plus 3 shifts everything up 3 units so that the new translated function has a max of y = 3.

The range in interval notation is [tex](-\infty, 3][/tex] we use a square bracket to include 3 as part of the interval.

Throughout the entire function, the curve is going downhill as we move from left to right. The graph shows this. We could also use a table of values to see that as x gets bigger, y gets smaller.

So the function is never increasing. The function decreases on the interval (-1, infinity) which is the entire domain.

=====================================================

Problem 18

The graph is shown below. It's in a separate attachment.

The domain and range are the set of all real numbers. The graph shows that the curve extends forever to the left and right. Also, the graph extends forever upward and downward (regardless if that growth seems really slow).

The domain and range in interval notation is [tex](-\infty, \infty)[/tex] to indicate the entire real number line.

The graph goes uphill as we read from right to left, so the function is increasing on the interval [tex](-\infty, \infty)[/tex]. In other words, no matter where you are, you're going uphill if you move from left to right. This rules out the function ever decreasing.

We can use a table of values to see that the function is increasing if we cannot rely on the graph. As x gets bigger, so does y.

Answer:

1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{0.7}{4.2}

4.2

0.7

, then

x = sin^{-1}sin

−1

(\frac{0.7}{4.2}

4.2

0.7

) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{y}{176}

176

y

( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}

hypotenuse

adjacent

= \frac{x}{176}

176

x

( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Answer:

I think it would be 120

Step-by-step explanation:

You add 120+120 and it would equal 240. Then 240 dived by 2 which will equal 120.

(120 + 120)= 240 dived by 2= 120 I might be wrong

Answer:

its 192 fluid ounces

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

Sorry i don't know how to type my work out. (But i did check my work 3 times you can rest easy because this answer is correct.)

Answer:

1/5 chance or 20% chance.

Step-by-step explanation:

When doing this problem we can start with only being able to go for 7 and up. This already makes us go down to a 3/10. Now we have 8, 9, and 10. Only two of those numbers are even 8, and 10. Which gives us a 2/10. 2/10 then simplifies to 1/5.

:D

Probability helps us to know the chances of an event occurring. The probability that the first card is an even number and the card is greater than 7 is 0.15.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability that the first card is an even number and the card is greater than 7 is,

Probability = (5/10)×(3/10) = 15/100 = 0.15

Hence, the probability that the first card is an even number and the card is greater than 7 is 0.15.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ2

Answer:

Step-by-step explanation:

x^2(3x - 7) + 2(3x - 7)

(x^2 + 2)(3x - 7)

[tex]\huge\text{Hey there!}[/tex]

[tex]\bold{Factor: 3x^3 -7x^2+6x -14}[/tex]

[tex]\bold{Step-by-step\downarrow}[/tex]

[tex]\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}[/tex]

[tex]\bold{= x^2(3x^{3-2}-7)+2(3x-7)}[/tex]

[tex]\bold{= x^2(3x-7)+2(3x-7)}[/tex]

[tex]\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}[/tex]

[tex]\bold{= \underline{(3x -7)(x^2+2)}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark[/tex] [tex]\underline\bold{(Option\ C.)}[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

calcule bruto malparido

Answer: 16

Step-by-step explanation: Good luck! :D

Answer:

It’s 16

Good luck

I honestly lost most of my brain cells Bc of quarantine so I’m glad I figured this out

Answer:

1

Step-by-step explanation:

Answer:396

Step-by-step explanation:your volume is 5.5 * 3 * 3 = 5.5 * 9 = 45 + 4.5 = 49.5 cubic inches. multiply that by 2*2*2 = 8 and you get 49.5 * 8 = 396 half cubic half inches. let's see if that makes sense. 11 half inches * 6 half inches * 6 half inches = 396 cubic half inches.brainliest?

Answer:

x = 9

y = 9√3 = 15.6

Step-by-step explanation:

The triangle given is a right triangle, therefore:

✔️apply trigonometric ratio formula to find x:

Reference angle = 60°

Hypotenuse = 18

Adjacent = x

Thus:

Cos (60) = x/18

Multiply both sides by 18

18×cos(60) = x

9 = x

x = 9

✔️find y by applying pythagorean theorem:

y² = 18² - x² (pythagorean theorem)

y² = 18² - 9² (substitution)

y² = 243

y = √243

y = √(81*3)

y = 9√3 = 15.6

Answer:

3.25 minutes

Step-by-step explanation:

117 ÷ 36 = 117

Answer:

3.25 min

Step-by-step explanation:

copies. time

36. 1

117. x

36×x= 117×1

x. = 117÷36

x. = 3.25 min

Answer:

$75

Step-by-step explanation:

let 'x' = full price ticket

x + x + 0.4x = 180

2.4x = 180

x = 75

Answer:

14,245

Step-by-step explanation:

First you find 4.6% of 18,500 which is 851. Then you multiply 851 by the years, which is 5, and you get 4255. Lastly just subtract 4255 from 18500.

Answer:

it will have 56 gallons

Step-by-step explanation:

Answer:

164 is less than the expectation

Step-by-step explanation:

Given

[tex]n = 480[/tex] --- Cars

[tex]p = 0.375[/tex] --- Probability of silver

Required

Determine if 164 is more or less than the expectation

First, we calculate the expected value (E(x))

[tex]E(x) = n * p[/tex]

Substitute values for n and p

[tex]E(x) = 480 * 0.375[/tex]

[tex]E(x) = 180[/tex]

The expected number of silver cars is 180.

Hence, 164 is less than the expectation.

Answer: 3

Reason: 5 + 3 = 8

Answer:

t = 0.625

Step-by-step explanation:

Assuming this is 5t = 8:

5t = 8 | Given

t = 0.625 (5/8, divide 5 by 8 to separate the coefficient 5 from the variable t.)

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

We can find x using either the measure of angle B, or the measure of angle A.

Using A, we have ...

  48 = x^2 -8x

Adding 16 completes the square:

  64 = x^2 -8x +16 = (x -4)^2

Then the positive solution is ...

  √64 = x -4

  x = 4 +8 = 12

The triangles are similar when x=12.

__

Check

We expect angle B to be 84° when x=12:

  (x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed

Answer:

A=432   B=520

Step-by-step explanation:

alright so there are 60 minutes in a hour so every 10 you get 6 so 6x6=36 per hour so 36x12 equals 432 parts

15 x 4 = 60 so 13 x 4 =52 per hour so 52 x 10 = 520

Answer:

हेलो मेरा पसंदीदा मौसम गर्मियों का है, मैं इसे प्यार करता हूं क्योंकि मैं अपने दोस्तों के साथ तैराकी करता हूं और मुझे तैराकी पसंद है क्योंकि मैं ट्रैक रन करता हूं, मुझे सिर्फ गर्मी से प्यार है

Step-by-step explanation:

Answer:

Area of polygon = 18

Step-by-step explanation:

the given points are :

Point A (2.5)

Point B (8,5)

Point C (8,9)

Point D (5,7)

Point E (2,9)

Firstly , create the array

A     2       5

B     8       5

C     8       9

D     5       7

E      2      9

A      2      5

Now,

Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.

⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)

Now,

Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result

⇒ 40 + 40 + 45 + 14 + 18 = 157   ........(2)

Now, Subtract equation (2) from equation (1), we get

193 - 157 = 36

Now, Divide by 2 to get the area of polygon

∴ we get

Area of polygon = 18