On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 20. Find the z-score of a person who scored 270 on the exam.

Answer: 86 degrees

Step-by-step explanation:

The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.

The formula for the lateral surface area of a cone is described as follows:

Lateral area = πrl

where

Therefore,

Lateral area = 19.2π inches²

r = 2.4 inches

Lateral area = π × 2.4 × l

19.2π = 2.4πl

divide both sides by 2.4π

l = 19.2π / 2.4π

l = 8 inches

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Answer:

17. -2.5

18. 3

19. 0

20. -1

21. 2.33

22. undefined

The Slope of line:

1. -5/2

2. 3

3. 0

4. -1

5. 7/3

6. ∞

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

1. Slope of line

= (1-11)/ (-2 +6)

= -10 / 4

= -5/2

2. Slope of line

= (-2+ 5)/ (-3+ 4)

= 3 / 1

= 3

3. slope of line

= (6-6)/ (3+1)

= 0

4. Slope of line

= (7-8)/ (2-1)

= -1

5. Slope of line

= (-1+8)/ (0+3)

= 7/3

6. Slope of line

= (3-5)/ (-2+ 2)

= ∞

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Answer:

A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)

Here c divide AB line in the ratio of 1:2

From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)

and y=(m1×y2+m2×y1)/(m1+m2)

where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;

so x=(3+4)/3

  or, x=7/3;

y=(-2-6)/3

 or, y=-8/3;

so, oc=√((0-7/3)²+(0-(-8/3))²)

oc=3.54

Answer:

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Answer:

Not true.

Step-by-step explanation:

A  rational function is like P(x) / Q(x) where P and Q are polynomials.

Examples would be x^2 / (x^2 - 2)  and  x^2 / (x^2 + 2).

Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.

The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this  is all real numbers ,  and  no asymptotes.

Answer:

96 pizza slices

Step-by-step explanation:

Make a chart if 1 slice = 1.25, 20 pizza slices will cost 25.00, 50 will cost 62.50. An easy way you coud do it would be divided 120 by 1.25. When yu divided it it will give you 96. So, 96 slices will cost 120.00.

Answer:

total no. of students=30

pep club students =9

:=9/30 divide by 3

;=3/10

Answer:

M/5 =15

Step-by-step explanation:

The answer to part a was m/5. m/5 is the amount of questions Jack does per day. If 15 is supposedly the number of question he does per day, then m/5 and 15 are equal. Making m/5=15. Good luck fellow RSM student.

Answer:

3(4+5)=3(4)+3(5)

Hope it helps

Step-by-step explanation:

Answer:

1.8 cm

Step-by-step explanation:

Hope it will help...

Answer:

algebraically" whether a function is even or odd. To do this, you take the function and plug −x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even

Step-by-step explanation:

Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x)

The hexagon surface area is the amount of space on it

The surface area of the hexagon is 665.11 square centimeters

The question is incomplete, as the diagram is not given.

So, I will calculate the surface area of the hexagon.

The side length of the hexagon is given as:

L = 16 km

The surface area of the hexagon is calculated using:

A = 1.5[tex]\sqrt3[/tex]L^2

This gives

A = 1.5 * [tex]\sqrt3[/tex] * 16^2

Evaluate the product

A = 665.11

Hence, the surface area of the hexagon is 665.11 square centimeters

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Answer:

i belive the answer is 73

Step-by-step explanation:

45+62=107

180-107=73

The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.

The lateral surface area of the triangular prism is the product of the perimeter of the base and length.

L = perimeter of the base × length.

The side of the base is given as 7in, 3in, and 3in

and the length is 10in

The lateral surface area of the triangular prism = perimeter of the base × length.

L = (7in + 3in + 3in) 10

L = 13 × 10

L = 130 in sq.

Hence, The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.

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Answer:

130 ig

Step-by-step explanation:

Step-by-step explanation:

b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3

d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3

f) cuboid volume = l*b*h = 44*19= 836 in^3

e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3

Answer:

x² + x = 42

Step-by-step explanation:

let x = a number

then x² is the square of the number

x² + x is the sum of the square of the number and the number.

x² + x = 42

Answer:

loss=B.price-S.price

$28899-$17580=$11319

Percentage profit=profit/B.price*100%

$11319/28899*100=$385.20

Step-by-step explanation:

Answer:

4 mm

Step-by-step explanation: The height is the same length of the length

Have a good day!

The volume of a rectangular prism is given by V = l×w×h

48 = 3×4×n

48 = 12n

n = 4

Answer:

n = 4

Step-by-step explanation:

The volume of a rectangular prism is given by

V = l×w×h

Subbing in known variables and solving

48 = 3×4×n

48 = 12n

n = 4

Answer:

9.4

Step-by-step explanation:

(rectangle) shape 1: perimeter of rctangle= 2(l b)

=7

(semicircle)shape 2:perimeter of semicirlce=½ñd+d(ñ=pie)

0.5×ñ×1.4+1.4=3.6

add them

7+3.6=10.6

i hope i was helpful

please consider as brainlest

There aren't enough parts for this to be classified as a question.

Answer:

We need to use the sine of 17 degrees to find x. Our proportion is sin(17 degrees)=x/9.3. Multiply both sides by 9.3 and we get 9.3sin(17)=x. Using a calculator, we get about 2.7.

Answer:

Step-by-step explanation:

Remark

The easiest way is to find the area of the trianlge and subtract the area of the circle.

Area of the triangle

Area of the triangle = 1/2 b * h

b = 40 km

h = 27 km

The height is a little tricky. Since the angle at the base is greater than 90, you have to extend the base. Drop a line from the peak to the base making a right angle with the base. This has been done for you: the height is 27 km

Area of the triangle = 1/2 * 40 * 27

Area of the triangle = 540

Area of the circle

Area of the circle = pi r^2

r = d/2

r = 12/2

r = 6

Area of the circle = pi * 6*6

Area of the circle = 3.14 * 36

area of the circle = 113.04

Area of the shaded region

Area of the shaded region = area of triangle - area of the circle

Area of the triangle = 540

Area of the circle = 113.04

Area of the shaded region = 540 - 113.04

Area of the shaded region = 426.96

Step-by-step explanation:

[tex] \frac{2 {x}^{2} - 50}{ {x}^{2} + 7x + 10 } [/tex]

[tex] \frac{2( {x}^{2} - 25) }{(x + 5)(x + 2} [/tex]

[tex] \frac{2(x + 5)(x - 5)}{(x + 5)(x + 2)} [/tex]

[tex] \frac{2(x - 5)}{x + 2} [/tex]

Answer:

Austria-Hungary was home to many different ethnic groups.

Step-by-step explanation:

hope it helps ;))

Answer:

"mix 1 cup of vinegar with 1 gallon of water"

1 cup = 8oz; 1/4 cup = 2oz

You can see that the amount of vinegar is 1/4 of the original amount,

so, we will need 1/4 of the amount of water, which is 1gallon = 128oz

so, 1/4 times 128oz = 32oz, which is one quart

Algebraically, 8oz : 128oz = 2oz : x

8x = 256; x = 32oz

Answer:

Step-by-step explanation:

Answer:

cosA = [tex]\frac{9}{41}[/tex]

Step-by-step explanation:

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{9}{41}[/tex]

The correct answer from the drop-down menu is 3.5.

The mean is the average of the numbers. It is easy to calculate add up all the numbers, then divide by how many numbers in the data set.

Therefore the population mean is the sum of the 12 data set values divided by 12

4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.

Therefore the population mean

= 186/12

= 15.5.

The sample mean is given by the sum of the 4 sample values divided by 4

11 + 31 + 22 + 12

Sum = 76.

Therefore the sample mean

= 76/4

= 19.

The sample mean is more than the population mean by

= 19 - 15.5

= 3.5.

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Answer:

The answer is 8 ft ^3

Step-by-step explanation:

1. 4 (base ) x 4 (width) x 2 (height)
2. Get the answer of 32.
3. Do 32 x 1/4 because each square is 1/4 ft.
4. Get the answer of 8

Hope this helps! :)