Fill in the missing values for this sequence of numbers.

Identify the start value and operation.

92, 110, ___, 146, ___, ___

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

Answer:

9/13 should be the answer

Explanation:

does not have a sister & has a brother / does not have a sister & has a brother + does not have a sister & does not have a brother =

9 / (9 + 4) = 9 / 13

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:

the common difference is 10

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:

D 5pi/2

Step-by-step explanation:

Found the circumference then quartered. Can I have brainiest I need one more to upgrade.

Answer:

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

Step-by-step explanation:

Answer:

I don't understand any thing can you read the question

Answer:

números enteros que comprende a los positivos y negativos

Answer:

I and II

Step-by-step explanation:

I used a graphing calculator to find the answers.

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:

a. y=x-2     b. -2

Step-by-step explanation:

a.) if the slope is 1, the x-int is always the negative of the y-int so y=x-2

b.) in y=mb+b (slope intercept form) b is the y-int so -2

Brainliest Plz??

Answer:

I believe the answer is D

Step-by-step explanation:

Mars is approximately 940 times farther away from Earth than the Moon.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

Mars is on average 2.25 x 10⁸ miles away from Earth.

The moon is on average 2.388 x 10⁵ miles away from Earth.

To calculate the answer, we need to divide the distance from Mars to Earth by the distance from the Moon to Earth. This gives us:

2.25 x 10⁸ miles / 2.388 x 10⁵ miles = 942.42

Rounded to the nearest whole number, this means that Mars is approximately 940 times farther away from Earth than the Moon is.

Therefore, the answer is D) 940 times.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ6

Answer:

3126

Step-by-step explanation:

Because it is so much bigger than the other numbers.

Answer:

"Variable cost" is the appropriate answer.

Step by-step explanation:

Let an equation,

⇒ [tex]y=a+bx[/tex]

here,

or,

We can say that, "y" is a dependent variable as well as "x" is an independent variable.

Thus the independent variable is Variable cost.

Answer:

Step-by-step explanation:

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:

d 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

13 - 6 = 6 - 1

7 = 5  (FALSE)

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

6 - 5 = 7 - 6

1 = 1   (TRUE)

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

8 - 4 = 11 - 8

4 = 3  (FALSE)

Answer:

120 units squared

Step-by-step explanation:

Answer:

Replace the 4 with a 3 to make the equation true

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:

Step-by-step explanation:

5.

26 red cards in a 52-card deck so 3 red cards combo = 26*25*24 = 15600

6.

4 aces in a deck so 3 aces = 4*3*2 = 24

7.

12 face cards in a deck so 3 face cards = 12*11*10 = 1320

8.

13 hearts in a deck so 3 hearts = 13*12*11 = 1716

9.

4 kinds in a deck: spade, heart, diamond and club so 3 of one kind = 4*1716

= 6864

Answer:

Step-by-step explanation:

5. half deck are red; 2nd card is 1 less n 3rd card 2 less: 26x25x24 = 15600

6. 4 aces total: 4x3x2 = 24

7. 3 face cards per suit; 12 total: 12*11*10 = 1320

8. 13 heart cards: 13x12x11 = 1716

9. 4 suits: 1716x4 = 6864

Answer:

r = 1,248 in

Step-by-step explanation:

v(c) = 12 in³

The surface area of a right cylinder is:

Area of the base and top  + lateral area

S(a)  =  2*π*r²  + 2*π*r*h   (1)

v(c) = 12 in³  =  π*r²*h        h is the height of the cylinder, then

h  =  12 / π*r²

By substitution,  in equation (1) we get  the  Surface area as a function of r

S(r)  =  2*π*r² +   2*π*r*  ( 12 / π*r²)

S(r)  =  2*π*r² + 24 /r

Tacking derivatives on both sides of the equation we get:

S´(r)  =  4*π*r -  24 /r²

S´(r)  = 0            4*π*r -  24 /r²  =  0       π*r - 6/r² = 0

 π*r³ - 6  = 0

r³   =  1,91    

r = 1,248 in    

How do we know that the value  r  =  1,248 makes  Surface area minimum??

We get the second derivative

S´´(r)  =  4*π  +  48/r³    S´´(r)  will be always positive therefore we have a minumum of S   at the value of   r = 1,248 in

Answer:

6/20

Step-by-step explanation:

trust

Answer:

L = 3 + x

W = x

A = L x W

130 = 3 +( x × x)

B. X2 + 3 = 130

The equation that can be used to solve for x is;

x(x + 3) = 130

We are told that area of a rectangle is;

A = 130 mm².

We are told that length is 3 mm greater than its width.

Now, if the width is x, then

Length = x + 3

Formula for area of a rectangle is;

A = length * width

Thus;

(x + 3)x = 130

x² + 3x = 130

Read more about area of a rectangle at;https://brainly.com/question/13048427

I think the answer should be 12

this is because CH length is 6 x 5 is 30 so 60/5 is 12 for BH.

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: