24/7 as a fixed number

Answer:

[tex]P(X=10) = 0.1222[/tex]

Step-by-step explanation:

Represent Green with G

So,

[tex]G = 50\%[/tex]

Required

Determine the probability that 10 out of 16 prefer green

This question is an illustration of binomial distribution and will be solved using the following binomial distribution formula.

[tex]P(X=x) = ^nC_xG^x(1-G)^{n-x}[/tex]

In this case:

[tex]n = 16[/tex] -- number of people

[tex]x = 10[/tex] -- those that prefer green

So, the expression becomes:

[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{16-10}[/tex]

[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{6}[/tex]

Substitute 50% for G (Express as decimal)

[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*(1-0.50)^{6}[/tex]

[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*0.50^{6}[/tex]

Apply law of indices

[tex]P(X=10) = ^{16}C_{10}*0.50^{10+6[/tex]

[tex]P(X=10) = ^{16}C_{10}*0.50^{16[/tex]

Solve 16C10

[tex]P(X=10) = \frac{16!}{(16-10)!10!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16!}{6!10!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16*15*14*13*12*11*10!}{6!10!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16*15*14*13*12*11}{6!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16*15*14*13*12*11}{6*5*4*3*2*1} * 0.50^{16[/tex]

[tex]P(X=10) = \frac{5765760}{720} * 0.50^{16[/tex]

[tex]P(X=10) = 8008 * 0.50^{16[/tex]

[tex]P(X=10) = 8008 * 0.00001525878[/tex]

[tex]P(X=10) = 0.12219231024[/tex]

[tex]P(X=10) = 0.1222[/tex]

Hence, the required probability is 0.1222

Answer:

the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively

Step-by-step explanation:

The computation of the amount of outstanding checks at the closing of Nov and dec is as follows

Particulars             November        December

Written checks     $10,310              $11,785

Less:

Presented checks  -$8,580            -$10,770

Outsanding checks $1,730              $1,015

Hence, the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively

Answer:

80

Step-by-step explanation:

You have to multiply .16 times 5, and that gets your answer, 80!

Answer:

ohh

Step-by-step explanation:

Answer:

1:5

Step-by-step explanation:

It is asking you to simplify the ratio, although it gave the unsimplified ratio to you below the diagram.

1/5=3/15

HTH :)

Answer:

Points Yay Woop Woop

Step-by-step explanation:

Pointsssssss

Answer:

[tex]\displaystyle x = \frac{216}{7}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}[/tex]

Step 2: Solve for x

Answer:

[tex] \frac{6}{19} = \frac{x - 12}{2x - 2} \\ 6(2x - 2) = 19(x - 12) \\ 12x - 12 = 19x - 228 \\ 7x = 216 \\ \boxed{x = 30.857}[/tex]

Answer:

7

Step-by-step explanation:

Area of the value of area

Answer:

π×8² =

201.0619298297

arc length formular = π ×r²

Answer:

W = 55T

Step-by-step explanation:

He types 110 / 2 = 55 words every minute. Thus, W = 55T

Answer:

1.3x -6 => 3x = 6 => x = 2

2.4x = -8 => x= -2

3.3x => if 3x = 0 ..x is> 0 too

but if 3x= 1 ..x is 1/3

i h○pe it helps u ...:)

f(4)=9*4-2 =34 & g(4)= -2*4 =-8 then,

f(4)- g(4) = 34+8= 42

Answer:

B is the better detergent

Step-by-step explanation:

If A has a lower number on the 1-10 scale, that means on average it was closer to the lower end, or the least clean end. This means that A cleans worse than B., and B is better.

The two laundry detergents B cleans better.

Although the questions seems to be tricky at the begging because of a lot of numbers, but actually it is not.

Given to us in the question that, 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B.

Thus, we can say that the sample size for both detergent A and detergent B is same. Also, the sample is distributed randomly meaning the sample is unbiased (fair).

Also, as given the mean rating for detergent A is found to be significantly less than the mean rating for detergent B. And we know that the mean is the average of a set of given numbers.

Therefore, we can conclude that if detergent A has a lower mean meaning, it has cleaned the clothes with less effectiveness as compared to detergent B.

Hence, Out of the two laundry detergents, B cleans better.

To know more visit:

https://brainly.com/question/16967035

Answer:

oof

Step-by-step explanation:

Blouse

The Alphabet

Answer:

yes

Step-by-step explanation:

This is because the sum of 2 sides of a triangle has to be greater than the side that was not used

Step-by-step explanation:

7. The two coordinates are (0, 4) and (1, -4).

 To find the slope you would need to use the formula [tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]

 [tex]y_{2}[/tex] = (-4), [tex]y_{1}[/tex] = 4

 [tex]x_{2}[/tex] = 1, [tex]x_{1}[/tex] = 0

[tex]\frac{(-4)-4}{1-0}[/tex] = [tex]\frac{-8}{1}[/tex] = -8

8. The coordinates, (1, 4) and (0, -2)

(-2) -4 / 0 -1 = -6 / -1 = 6

Sorry for not formatting 8

9. The coordinates (-1, 3) and (4, -1)

(-1) - 3/ 4 - (-1) = -4/ 5

10. The coordinates (1, -1) and (2, -2)

(-2)- (-1) / 2 -1 = -1 / 1 = -1

Hope this helps!!!

Answer:

hozlatie

Step-by-step explanation:

Answer:

15x+98=105

      -98    -98

15x=7

/15    /15

x=7/15

Step-by-step explanation:

x=7/15

Answer:

30

Step-by-step explanation:

since this is rhombus 1 2 3 4 must be equal

|NP|=|MN|

so 180-120=60

60/2=30

Answer: All four angles (angle1,2,3,4) are 30 degrees each

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

Explanation:

A rhombus has all four sides that are the same length. Think of a square, but we don't necessarily need to have all four angles be 90 degrees (as the diagram indicates).

Focus on triangle MNP. We have N = 120 degrees. We also know that MN = NP due to the fact all four sides of a rhombus are the same length.

This immediately leads to triangle MNP being isosceles. The base angles opposite the congruent sides are congruent angles. So angle 1 and angle 3 are the same measure. For triangle MNP, angle M and angle P are the same.

Let's find the missing angle

M+N+P = 180 ... angles of a triangle add to 180

M+120+M = 180 ... plug in N = 120, replace P with M

2M+120 = 180

2M = 180-120 ... subtracting 120 from both sides

2M = 60

M = 60/2 .... dividing both sides by 2

M = 30

So N is also 30 degrees

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

We've found that both angle 1 and angle 3 are 30 degrees each.

Any rhombus is a parallelogram, which means that angles 1 and 4 are congruent alternate interior angles. Similarly, angles 2 and 3 are the other pair of alternate interior angles.

Therefore, we can say

angle 1 = angle 4 = 30 degrees

angle 2 = angle 3 = 30 degrees

Is that cube or n just multiply to 2?

Answer:

15

Step-by-step explanation:

n is 5 so 5 times 2 equals 10 and plus 5 it equal 15

Answer:4,050

Step-by-step explanation:

Withholding Rate: 4.25% | Personal Exemption: $4,400 | 2019 Michigan Income Tax Withholding Tables. Withholding Rate: 4.25% | Personal Exemption: $4,050 | 2019 Michigan Income Tax Withholding Tables.

Answer:

The answert is "$0.007 / bottle".

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]\to R(x) =7.5x^{0.7}[/tex]

The  average income:

[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]

The change rate on the average revenue:

[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]

when 81 bottles were produced , then the rate of change in average revenue

[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]

The average income  is decreasing at rate = $0.007 / bottle

Answer: 3. 2

Step-by-step explanation:

Given the data:

3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77

Point estimate of population mean :

Σx / N

(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)

= 38.41 / 12

= 3.2008

Answer:

hate to break it to ya but their is no question-

Step-by-step explanation:

A what you need help with

Step-by-step explanation:

Answer:

[tex]6^{8}[/tex]

Step-by-step explanation:

Di ako sure sa sagot ko.

(I'm not sure with my answer)

Answer:

use math(way)

Step-by-step explanation:

Answer:

The common factors of 9 are  1, 3, and 9.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.

Answer:

[tex] = \frac{2.36}{4} \\ = \frac{59}{100} \\ = 0.59[/tex]