Chapter 12
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An isosceles triangular prism has a triangular end with a base of 14 inches, an altitude of 24 inches, and a side length 25 inches The height of the prism is
10 inches Calculate the Lateral and Total Surface areas of the prism?

Answer:

[tex]P(x =2) = 0.3020[/tex]

Step-by-step explanation:

Given

[tex]p =20\% = 0.20[/tex]

[tex]n = 10[/tex]

Required

[tex]P(x = 2)[/tex]

This question is an illustration of binomial distribution where:

[tex]P(X = x) = ^nC_x * p^x * (1 - p)^{n-x[/tex]

So, we have:

[tex]P(x =2) = ^{10}C_2 * 0.20^2 * (1 - 0.20)^{10-2}[/tex]

[tex]P(x =2) = ^{10}C_2 * 0.20^2 * 0.80^8[/tex]

This gives

[tex]P(x =2) = \frac{10!}{(10 - 2)!2!} * 0.20^2 * 0.80^8[/tex]

[tex]P(x =2) = \frac{10!}{8!2!} * 0.20^2 * 0.80^8[/tex]

Expand

[tex]P(x =2) = \frac{10*9*8!}{8!2*1} * 0.20^2 * 0.80^8[/tex]

[tex]P(x =2) = \frac{10*9}{2} * 0.20^2 * 0.80^8[/tex]

[tex]P(x =2) = 45 * 0.20^2 * 0.80^8[/tex]

[tex]P(x =2) = 0.3020[/tex]

The probability that 2 out of the next ten customers will order the chef special is 0.3020. and this can be determined by using the binomial distribution.

Given :

To determine the probability formula of the binomial distribution is used, that is:

[tex]\rm P(x = r) = \; ^nC_r \times p^r \times (1 - p)^{n-r}[/tex]

Now, at n = 10 and r = 2, the probability is given by:

[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (1 - 0.2)^{10-2}[/tex]

[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (0.8)^{10-2}[/tex]

[tex]\rm P(x = 2) = \; \dfrac{10!}{(10-2)!\times 2!} \times (0.2)^2 \times (0.8)^{8}[/tex]

[tex]\rm P(x = 2) = \; 45 \times (0.2)^2 \times (0.8)^{8}[/tex]

P(x  = 2) = 0.3020

The probability that 2 out of the next ten customers will order the chef special is 0.3020.

For more information, refer to the link given below:

https://brainly.com/question/1957976

9514 1404 393

Answer:

  1.64 kg of pears

Step-by-step explanation:

If 4/5 of the weight is apples, the remaining 1/5 is pears.

  (1/5)(8.2 kg) = 1.64 kg

She sold 1.64 kg of pears.

Answer:

Weight of pears = 1 - Weight of apple

=> 1 - 4/5

=> 5 - 4/5

=> 1/5

Now

Weight of pears = ⅕ × 8.2

Weight of pears = 1.64 kg

[tex] \\ [/tex]

Answer:

B. 4 square feet

Step-by-step explanation:

The formula for area of a triangle is length x height / 2 so 4 x 2 is 8 then divided by 2 is 4.

Answer: 4

Base 4

hight 2

4x2=8 ÷ 2 or 1/2 Equals 4

Formula L x W ÷ 2 or 1/2

Answer:

Hello! answer: 13/16

Hope that helps!

Answer:

Step-by-step explanation:

I'm going to go out on a limb here and guess that you are looking for the answer to the measure of arc DAB, since we already know that angle DAB is 78. Angle DAB is an inscribed angle. That inscribed angle intercepts arc DCB, and the theorem for that is that an inscribed angle is half the measure of the arc it intercepts. That means that arc DCB measures twice 78, so arc DCB measures 156 degrees. Since the measure around the outside of any circle is 360 degrees, arc DAB is 360 - 156 which is 204 degrees. If this is not what you are looking for, sorry and be more specific next time.

Answer:

the last one: f(x) = 1/(x-3)

Step-by-step explanation:

Vertical asymptote at x=3 means dividing by zero for x=3. If you examine all denominators with x=3, you find that the last one divides by zero (3-3).

Step-by-step explanation:

area of a circle= πr²

and r= half diameter

therefore we have r=10/2=5

area= 5² x π

area= 25π

circumference=2πr

circumference= 2xπx5

circumference=10π

Answer:

120 units squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the area of the garden:

Number of plants:

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden.

Answer:

I and II

Step-by-step explanation:

I used a graphing calculator to find the answers.

Answer:

ok then

Step-by-step explanation:

Answer:

Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Step-by-step explanation:

Answer:

72 trees.

Step-by-step explanation:

27 divided by 3 equals 9. so that means Matt can plant 9 trees in one hour so 9 is our unit rate ( what we multiply by) so now you multiply 9 by 8 and your answer is 72

Answer:

From -6 to positive 1 the length is 7

Step-by-step explanation:

you still add'em.

Answer:

length of BD is 18

just count on the number line and ×2 because it is counting on by 2

Answer:

1. 5.2

2. 5.7

3. 5.1

4. 5.425 or 5.4

Step-by-step explanation:

hope this helps :)

Answer:

1. 5.2

2. 5.7

3. 5.1

4. 5.4

Step-by-step explanation:

you can use the app photo math, you just take a picture of the problem and it will give you the answer and explain the steps.

Answer:

y = 50x+40

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

First find two points on the line

(0,40) and (2 ,140)

The slope is

m= (y2-y1)/(x2-x1)

   = (140-40)/(2-0) = 100/2= 50

The y intercept is where it crosses the y axis which is 40

y = 50x+40

Answer:

6/20

Step-by-step explanation:

trust

Answer:

It's C, 4/3! Just did the question and got it right

Step-by-step explanation:

The limit of f(x) as x approaches negative 1 is four thirds.

Limits are defined as the value of a function as the input approaches a certain number. Limits are the concepts used essentially in calculus to define continuity, integrals and derivatives.

Given function is,

[tex]f(x) =\left \{ {{x^{2} -\frac{1}{3}x, x\neq -1 } \atop {-1, x=-1}} \right.[/tex]

We have to find the value of the limit as x approaches to negative 1.

This is not the same value as the value of the function at negative 1. Limit of the function as x approaches some value is the value of the function which is closest to the exact value of the function at the input.

We have,

f(x) = x² - [tex]\frac{1}{3}[/tex] x when x ≠ -1

Substitute x = -1 in the above equation

x² - [tex]\frac{1}{3}[/tex] x  = (-1)² - (1 / 3) (-1)

            = 1 + [tex]\frac{1}{3}[/tex]

            =  [tex]\frac{4}{3}[/tex]

[tex]\lim_{x \to -1} x^{2} -\frac{x}{3}[/tex] = [tex]\frac{4}{3}[/tex]

Hence the limit of f(x) = x² - [tex]\frac{1}{3}[/tex] x when x tends to -1 is 4/3.

To learn more about Limits, click on the link given below :

https://brainly.com/question/12207539

#SPJ2

Step-by-step explanation:

[tex]r = \frac{4}{2} \\ r = 2[/tex]

Answer:

-2

Step-by-step explanation:

The "common ratio" is the number you multiply a term by to get the next term.

-4 = 2 x -2

8 = -4 x -2

-16 = 8 x -2

Answer:

[tex](x + 3) {}^{2} = x {}^{2} + 9[/tex]

[tex](x + 3) {}^{2} \\ = {x}^{2} + 2 \times x \times 3 + 3 {}^{2} \\ = x {}^{2} + 6x + 9[/tex]

Note - (a + b)² = a² + 2ab + b²

✐ La expansión de Mary está mal. Correcta expansión ⇻ x² + 6x + 9

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]

Step-by-step explanation:

From the given information:

Let assume the population is denoted by L

The rate of change of the young adults per year given  can be represented as;

[tex]\dfrac{dL}{dx}= -x^2 +90x - 200[/tex]

where;

x = 0 since 2010

[tex]dL = -x^2 +90x -200 dx[/tex]

[tex]L = \int( -x^2 +90x -200 ) \ dx[/tex]

[tex]L = - \dfrac{1}{3}x^3 + 45x^2 -200x +C[/tex]

here;

L(0) = 31000

∴

[tex]- \dfrac{1}{3}(0)^3 + 45(0)^2 -200(0)+C= 31000[/tex]

C = 31000

[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]

Answer:

Step-by-step explanation:

Answer:

t = √ab²/fx

Step-by-step explanation:

fx= ab*2÷t*2, make t the subject of the formulae

​Given the function

fx = ab²/t²

We are to make t the subject of the formula

fxt² = ab²

t² = ab²/fx

Take the square root of both sides

√t² = √ab²/fx

t = √ab²/fx

Hence the required value of t is √ab²/fx

Given:

The inequality is:

[tex]h\leq 2[/tex]

To find:

The values that make the given inequality true.

Solution:

We have,

[tex]h\leq 2[/tex]

It means the value of h must be less than or equal to 2.

In the given options, the list of numbers which are less than or equal to 2 is

-6, -3, -1, 1, 1.9, 1.99, 1.999, 2

The list of numbers which are greater than 2 is

2.001, 2.01, 2.1, 3, 5, 7, 10

Therefore, the first 8 options are correct and the required values are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.

Answer:

Step-by-step explanation:

Answer:

b = $375

Step-by-step explanation:

b = cost of the bench

t = cost of the table

t = b - 78

b + b - 78 = 672

2b = 750

b = $375

Answer:

no triangle given try to use a = 1/2(b x h) for the area

Step-by-step explanation:

Answer:

números enteros que comprende a los positivos y negativos

Answer:

Replace the 4 with a 3 to make the equation true

Answer:

3126

Step-by-step explanation:

Because it is so much bigger than the other numbers.