According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 . Suppose you sit on a bench in a mall and observe​ people's habits as they sneeze.

​(a) What is the probability that among 12 randomly observed individuals exactly 6 do not cover their mouth when​ sneezing?

​(b) What is the probability that among 12 randomly observed individuals fewer than 4 do not cover their mouth when​ sneezing?

​(c) Would you be surprised​ if, after observing 12 ​individuals, fewer than half covered their mouth when​ sneezing? Why?

​(a) The probability that exactly 6 individuals do not cover their mouth is

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​(Round to four decimal places as​ needed.)

​(b) The probability that fewer than 4 individuals do not cover their mouth is

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​(Round to four decimal places as​ needed.)

​(​c) Fewer than half of 12 indiv

The equation best represents a line parallel to the given line is y = 9/5x - 2/15.

The general equation of a straight line is

y = mx + c,

where m is the gradient, and y = c is the value where the line cuts the y-axis.

This number c is called the intercept on the y-axis.

Now it is given that the line passes through (-2,-4) and (3,5).

So here,

x1 = -2;

y1 = -4;

x2 = 3;

y2 = 5

Hence slope of the line is given as,

m1 = (y2 - y1)/(x2 - x1)

⇒ m1 = {5-(-4)}/{3-(-2)}

⇒ m1 = (5+4)/(3+2)

⇒ m1 = 9/5

Since both the lines are parallel, hence

m1 = m2 = 9/5

Therefore equation of line parallel to the given line will be,

(y - y1) = m2( x - x1)

⇒ {y-(-4)} = 9/5{x - (-2)}

⇒ y + 4  = 9/5(x +2)

⇒ y + 4  = 9/5x + 18/5

⇒ y = 9/5x + 18/5 - 4

⇒ y = 9/5x - 2/15

Hence, The equation best represents a line parallel to the given line is y = 9/5x - 2/15.

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Answer:

X&Y

Step-by-step explanation:

simple

very nice questions

Answer:

d: x equals 50 degrees and y equals 90 degrees

Step-by-step explanation:

thats the answer for the first one

Answer: She would make $96.00

Answer:

324 642

Step-by-step explanation:

Answer:

the 2nd one would be a good choice

Step-by-step explanation:

since    -4(x-1) + 6x = 2(17-x)           [expand the bracket]

⇒         -4x +4 + 6x = 34 - 2x          [group like terms across the equal sign]

⇒      -4x + 2x + 6x = 34 - 4            [simplify like terms]

⇒                        4x = 30               [divide both sides by 4]

⇒                          x = ³⁰/₄               [simplify RHS to lowest possible fraction]

Check:

-4((¹⁵/₂) - 1) + 6(¹⁵/₂) = 2(17-(¹⁵/₂))

                         19 = 19    ✅

All I know is that it is acute and less than 51 degrees

Answer:

AOB is 39 degrees.

Step-by-step explanation:

Given that ∠DOE is 51 degrees we know that ∠AOE is 180 degrees as it is a straight line.

∠BOD is a right angle given the ∟symbol so therefore ∠BOD is equal to 90 degrees.

m∠DOE + m∠BOD = 141 degrees (because 51 + 90)

Therefore m∠AOB = 39 because 180 - 141 = 39

Straight angles are equal to 180! Hope this helped

Step-by-step explanation:

Step-by-step explanation:

xy + 2x

the step by step solution is on the picture above, if this helped, please mark as brainliest

Answer:

52, 21, 94

Step-by-step explanation:

y=3(14)+10

73=3x+10

63/3=21

y=3(28)+10

=94

Answer:

Equation = 3x - 6 = 18

Solving of equation =

                                 x = 8

Step-by-step explanation:

let the number be x

Now let us first set an equation

less than means - subtraction

3x - 6 = 18

Now let us solve the equation and find the value of x

3x - 6 = 18

Transpose

3x = 18 +6

3x = 24

x = 24 ÷ 3

x = 8

Equation = 3x - 6 = 18

Solving of equation =

                                 x = 8

Answer:

Hold on, our servers are swamped. Wait for your answer to fully load.

Step-by-step explanation:

Hold on, our servers are swamped. Wait for your answer to fully load.

Answer:

Step-by-step explanation:

The linear equation where:

[tex]\large \boldsymbol {} \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}[/tex]

Solution :

[tex]\displaystyle \sf \#13. \\\\ 6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3} \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept =-2\frac{1}{3} \\\\-------------[/tex]      

 [tex]\sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5} \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept =-0,4 \\\\---------------[/tex]  

    [tex]\dispalystye \sf \#15. \\\\ -6y+4x=8 \ |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3} \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3} \\\\ y-intersept = -\dfrac{4}{3 }\\\\ -----------------[/tex]

[tex]\sf \#16 .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3} \\\\slope =1 \\\\y-intersept =3[/tex]

Answer:

1/20 is the correct answer

Step-by-step explanation:

65/100 diet

30/100 caffeine

Of the 65/100, 22 are caffeine free but that is unnecessary info for the question. The 22 caffeine free would fall under the 65/100 anyways.

So 65 + 30 = 95

100-95 = 5

5/100 simplified is 1/20

Yes, you are correct . Since we know 65 sodas are diet and 30 are caffeine-free.

65 + 30 = 95

What plus 95 equals 100?

95 + x = 100

Or 100 - 95 = 5

= 5/100

When 5/100 is simplified, it equals 1/20.

Answer:

5x+3(x+3) = 5x+3x+9 = 8x+9

Answer:

Step-by-step explanation:

y = 63    {Vertical angles are congruent}

y + z + 85 = 180   {Angle sum property of triangle}

36 + z + 85 = 180

      z + 121 = 180

               z = 180 - 121

z = 59

63 +  x = 130   {External angle  property of triangle}

       x   = 130 - 63

x = 67

Answer:

Step-by-step explanation:

You have a bunch of numbers that are likely confusing you.

When the bags are full, they weigh 3/4 of a pound.

If they are half full, then they weigh 3/4 * 1/2 = 3/8 of a pound.

Since there are three of them, then the total weight is 3(3/8) = 9/8 = 1 1/8

Answer:

43/40 or 1 3/40

Step-by-step explanation:

9/10 - (1/8 - 3/10)

Remember, we have to solve what's in the parentheses first!

To find 1/8 - 3/10, we must find the least common multiple of the denominators, which is 8 and 10.

Let's list the multiples of 8 and 10

Multiples of 8: 8, 16, 24, 32, 40, 48, 56...

Multiples of 10: 10, 20, 30, 40, 50, 60...

We found a match! 40 is a multiple of both 8 and 10, so we can use that.

To make the denominator 40 for 1/8, we have to multiply both the numerator and denominator by the same number, and the denominator must equal 40 after.

So,

8 times what equals 40?

To make it easier, we can do 40 / 8, which is 5.

That means we multiply the denominator and numerator by 5, so we get 5/40 - 3/10.

If you do the same thing for 3/10, you get 12/40.

Our equation is much easier!

We can easily do 5/40 - 12/40, which is -7/40.

Now, we do 9/10 - (-7/40)

Remember, two minuses right next to each other make a plus!

Our equation is now 9/10 + 7/40.

If you do the least common multiple for 9/10, you get 36/40.

Finally, we do 36/40 + 7/40, which is 43/40.

If it's asking for a mixed number, it would be 1 3/40.

Therefore, 9/10 - (1/8 - 3/10) equals 43/40 or 1 3/40!

Hope this helped :)

First, do -2 x 3

and that will equal -6,

so your answer will be 7^-6

if you also want to solve 7^-6

it will be.... (Look at the photo)

__________

[tex] \: [/tex]

[tex]({7}^{ - 2} ) {}^{3} = ...[/tex]

[tex] = {7}^{ - 2 \times 3} [/tex]

[tex] = {7}^{ - 6} [/tex]

[tex] = \frac{1}{ {7}^{6} } [/tex]

[tex] = \bold{\frac{1}{117.649}} [/tex]

Answer:

29/8

You had to multiply and solve making lowest common multiple

Answer:

115/24

Step-by-step explanation:

first convert the mixed numbers to a whole fraction

then find the least common denominator which is 24

so 31 - 23 + 7 = 115/24

Answer:

y = 1/2x - 6

Step-by-step explanation:

Key:

m = slope

b = y-intercept

Slope:

( 0 - - 6 ) / ( 12 - 0 )

( 6 ) / ( 12 )

1 / 2

y-intercept:

( -6, 0 )

Hopefully this helped!

Brainliest please?

Answer:

Step-by-step explanation:

Well you have one of the roots -- -10. Just by looking at it, -1 would seem to be another x intercept.

f(x) = (-1)^3 + 13(-1)^2 + 32(-1) + 20

f(x) = -1 + 13 - 32 + 20

f(x) = 0

So - 1 is also a root.

You should try -2

-2 * -10 - 1 = - 20

f(-2) = (-2)^3 + 13(-2)^2 + 32(-2) + 20

f(-2) =  -8 + 13 * 4 - 32(2) + 20

f(-2) = - 8 + 52 - 64 + 20

f(-2) = -72 + 72

f(-2) = 0

The zeros are

x = -10

x = -1

x = -2

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

Hi there!

[tex]\displaystyle\frac{2}{3} (6x+30)=5(x+4)-2x[/tex]

Distribute 2/3 and 5 into the parentheses:

[tex]4x+20=5x+20-2x[/tex]

Combine like terms:

[tex]4x-5x+2x=20-20\\-x=0\\x=0[/tex]

I hope this helps!

The length of each piece be 3.25 inches.

We have Trinity who has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces.

Assume that the length of each piece be [x]. Then, we can write -

15x = 48.75

x = 48.75/15

x = 3.25 inches

Therefore, the length of each piece be 3.25 inches.

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Answer [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Using Trigonometry :

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tany=\dfrac{JL}{KL}[/tex]

[tex]\\ \rm\Rrightarrow tany=\dfrac{20}{21}[/tex]

Answer:

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

Step-by-step explanation:

Given number = 4851

It can be written as

4851 = 3×1617

4851 = 3×3×539

4851 = 3×3×7×77

4851 = 3×3×7×7×11

4851 = (3×3)×(7×7)×11

It is clear that We should divide the given number by 11 then we get a perfect square number.

4851/11 = 441

441 = 21×21

=> 441 = 21²

=> √441 = √(21²)

=> √441 = 21

The least number should 4851 be divided to get a perfect square number = 11

The square root of the obtained perfect square number is 21

→ Prime Factorization Method

Answer:

11 is the least number and the when you take the square root of the number you get 21

Step-by-step explanation:

The easiest way to solve this problem is guess and check.

First of all, a perfect square NEEDS to be a WHOLE number

Since 4851 is odd, you cannot divide it by an even number evenly, as it would result in a number with a remainder or leftover decimal amount.

This means you cannot divide by 2, 4,8...etc

We just have to guess and check odd numbers starting at 3.

4581/ 3 = 1527                 sqrt(1527) = 39.07684737    decimal so not this one

4581/ 5 = 916.2               decimal so not this one

4581/ 7 = 654.4285714  decimal so not this one

4581/ 9 = 509                 sqrt(509) = 22.56102835     decimal so not this one

4581/ 11 = 441                  sqrt(441) = 21

This is the first instance where 4581 is divisible by a number that yields a perfect square, so 11 is the least number and the square root of the result is 21.

Answer:

$15.14

Step-by-step explanation:

-20.45+35.59 or 35.59-20.45

15.14