Surface area of a new cereal box with dimensions of
L=8 in
W=1.75in
H=12.125in

the answer to this is A..............

Using the binomial distribution, it is found that there is a 0.864 = 86.4% probability that at most 5 seniors will attend the prom.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

The probability that at most 5 seniors will attend the prom is given by:

[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.18)^{0}.(0.82)^{20} = 0.0189[/tex]

[tex]P(X = 1) = C_{20,1}.(0.18)^{1}.(0.82)^{19} = 0.0829[/tex]

[tex]P(X = 2) = C_{20,2}.(0.18)^{2}.(0.82)^{18} = 0.1730[/tex]

[tex]P(X = 3) = C_{20,3}.(0.18)^{3}.(0.82)^{17} = 0.2278[/tex]

[tex]P(X = 4) = C_{20,4}.(0.18)^{4}.(0.82)^{16} = 0.2125[/tex]

[tex]P(X = 5) = C_{20,5}.(0.18)^{5}.(0.82)^{15} = 0.1493[/tex]

[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0189 + 0.0829 + 0.1730 + 0.2278 + 0.2125 + 0.1493 = 0.864[/tex]

0.864 = 86.4% probability that at most 5 seniors will attend the prom.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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Answer:

50

Step-by-step explanation:

Answer:

the answer is 50, it's actually very easy

Answer:

b.  4x + 22

Step-by-step explanation:

(x+5) + (x+5) + (x+6) + (x+6) = 4x + 22

Answer:

see the attachment!

Answer:

a) x + y

b) m x 7 or 7m

c) m x 3 or 3m

d) [tex]\frac{n - 3}{4}[/tex]

Step-by-step explanation:

a) the sum of x and y

- the sum most likely always means addition

b) the product of m and 7

- the product usually means multiplucation

c) the cost of 3 movie tickets at m dollars each

- so your getting 3 movie tickets at $m

the total would be m + m + m which is the same as mutiplying m by 3

d) 3 less than n, all divided by 4

- 3 less than n

less than usually means subtraction

than divided by 4

[tex]\rule{200}{2}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

            write algebraic expressions to represent the following:

a) the sum of x and y b) the product of m and 7

c) the cost of 3 movie tickets at m dollars each d) 3 less than n, all divided by 4

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

First, "the sum of" indicates that we add.

Since we're asked to find the sum of x and y, we need to add them:-

Now, the "product of" indicates that we multiply.

So we multiply m times 7, which can be written as follows:-

If we have 3 movie tickets, and each of them costs m dollars, then in order to find the cost of all 3 movie tickets, we need to find the product of the total number of tickets times the cost of one ticket:-

So we multiply 3 times m, or

Now, "3 less than n" indicates that we subtract 3 from n; this expression is divided by 4, or:-

         [tex]\rule{200}{1}[/tex]

Answer:25,000,000

Step-by-step explanation: add 6 zeroes behind the 25

Answer:

(-5, -1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The angles are marked as alternate interior angles. To be parallel, they must be equal. In other words x - 20  must equal 52. That's all you have to do. Just equate the 2 givens and solve.

Givens

x - 20 is one angle

52 is the other.

Solution

x - 20 = 52                   Add 20 to both sides.

x - 20 + 20 = 52 +20   Combine

x = 72

Answer: C

Answer:

I can't I'm blind and Def

Answer: the answer is the second choice .

<

Step-by-step explanation: as the second one is bigger than the first one .

Answer:

A

Step-by-step explanation:

Sea level is defined as 0 ft and anything above or below is not sea level so

So . .

If the landing strip is 60 feet below sea level and the plane is flying 2000 feet above sea level just add them together

According to attachment

Distance

Answer: [tex]128ft^2[/tex]

Step-by-step explanation:

If the 16ft is the sum for both sides already means the first length is 8ft and also the second length is 8ft. then since there are 32 ft more left, you divide it by two since there were two widths left, the values of the two widths are 16ft each. so the sum of the two widths is 32ft. and that's the final answer.

[tex]Length=16[/tex]

[tex]Perimeter=48[/tex]

[tex]Using ~the ~formulas:[/tex]

[tex]A=wl[/tex]

[tex]P=2(l+w)[/tex]

[tex]Solving ~for~A:[/tex]

[tex]A=P\frac{l}{2} -l^2=48[/tex] × [tex]\frac{16}{2} -16^2=128ft^2[/tex]

8km=5miles

1miles= 5/8=0.625mile

100km = 100x0.625=63.5 miles

Answer:

Blue

Step-by-step explanation:

Volume = lwh - Length x Width x Height

Blue = 4 x 3 x 4  = 48 cm³

pink = 2 x 5 x 4 = 40 cm³

Answer:

4 < n < 130.

Step-by-step explanation:

n is a positive integer

n^100 > 2^200

2^2*100 = 2^200

4 ^100 = 2^200

So n > 4

(130n)^50 > n^100

130^50 * n^50 > n^100

130^50 > n^50

130 >n

so n < 130.

Answer:

$ 8055.19

Step-by-step explanation:

interest per period   .05 /2 = .025

periods = 20 * 2 = 40 periods

3000 ( 1+.025)^40 =

Answer:

the answer is the number of the color of the alphabet 2871 mm

Answer:

2.5

Step-by-step explanation:

The formula to find the midpoint of a line segment: [tex](\frac{1}{2}x_{1} + \frac{1}{2}x_{2}, \frac{1}{2}y_{1} + \frac{1}{2}y_{2})[/tex]

Where:

[tex]x_{1} = -5\\x_{2} = 10\\y_{1} = 9\\y_{2} = 8[/tex]

1) Substitute the values into the midpoint formula.

[tex](\frac{1}{2}*-5 + \frac{1}{2}*10, \frac{1}{2}*9 + \frac{1}{2}*8)[/tex]

2) Solve it.

= [tex](-2.5 + 5, 4.5 + 4)[/tex]

= (2.5, 8.5)

Answer: x = -15

Step-by-step explanation:

Think PEMDAS

First, we factor the parenthesis:

-4 (x-4) = -4(x) + -4(-4)

now we are left with -4x + 16 = -44

Next is to isolate the "x":

to do this, we must subtract 16 from -44

-44 - 16 = 60

now we have -4x = 60

Now we divide both sides by -4 in order to isolate "x"

dividing -4x/-4 = x

diving 60/-4 = -15

the answer is x= -15

Answer:

22 to 8

Step-by-step explanation:

purple beads-> 22

pink beads-> 8

ratio of purple beads to pink beads-> 22:8

Answer:

I dont mind :D These were my favorite! They are actually really simple. Dont overthink it. It even gave you a hint!

It says a^2 + b^2 = c^2

We can substitute what we do have which is a = 10 and c = 15

10^2 + b^2 = 15^2

Now we square it

100 + b^2 = 225

Next, all we have to do is subtract the 100 from our answer so 225-100 which is 125, so b has to be 125!!! Because 125 + 100 is 225 :D

Step-by-step explanation:

The length of "b" using Pythagoras Theorem.

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {10}^{2} + {b}^{2} = {15}^{2} [/tex]

[tex]b = {15}^{2} - {10}^{2} [/tex]

[tex] {b}^{2} = 125[/tex]

[tex]b = \sqrt{125} [/tex]

[tex]b = 11.18033989[/tex]

[tex]b = 11.2 \: (nearest \: tenth)[/tex]

Therefore, the length of "b" is 11.2

Answer:

76.02%

Step-by-step explanation:

Took the test

Mark brainliest :)

Answer:

[tex]\boxed{\sf \bold{x = -8}}[/tex]

Explanation:

3(2x+2)= 4x -10

apply distributive method: a(b+c) = ab + ac

3(2x) + 3(2) = 4x - 10

multiply

6x + 6 = 4x - 10

subtract both sides by 4x

6x + 6 - 4x = 4x - 10 -4x

simplify

2x + 6 = -10

subtract both sides by 6

2x + 6 -6 = -10 -6

simplify

2x = -16

divide both sides by 2

x = -8

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's solve :} [/tex]

[tex]\qquad \sf  \dashrightarrow \:3(2x + 2) = 4x - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x + 6 = 4x - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x - 4x = - 10 - 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = - 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = - 16 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = - 8[/tex]

[tex] \textsf{Hence, value of x is -8} [/tex]

Answer:

the answer for the first is the second one

and the answer for the second is 9>6

Step-by-step explanation:

9 is greater than (>) six

and when plotted you can see that 9 is to the right of -6

hope i helped!

Answer:

Please find attached the completed number line.

9 is a positive number.  Start at zero and count 9 increments to the right.

-6 is a negative number.  Start at zero and count 6 increments to the left.

(a) 9 is located to the right of -6

(b) 9 > -6

Answer:

27

Step-by-step explanation:

First, we convert 18 ft to inches.

18 × 12 in. = 216 in.

Now we divide 18 ft written as 216 in. by 8 in.

216 in. / 8 in. = 27

Answer: 27

Answer:

-45x + 72

Step-by-step explanation:

Q) 9(-5x + 8) = ?

→ 9(-5x + 8)

→ (-5x × 9) + (8 × 9)

→ -45x + 72

Thus, the answer is -45x + 72.

Answer:

x=4

Step-by-step explanation:

3x + 6 = 18

3x = 18 - 6 = 12

x = 4