The probability distribution shows the results of a survey of people’s fear of flying on an airplane. Find the probability that a person has never flown given that he/she is a person who is afraid of flying. Round to the nearest thousandth. History of Flying Survey Have Flown Before Have Not Flown Before Totals Afraid to Fly 0.01 0.07 0.08 Not Afraid to Fly 0.79 0.13 0.92 Totals 0.8 0.2 1

Answer:

[tex]Probability = \frac{2}{9}[/tex]

Step-by-step explanation:

Given:

A pair of dice

Required

Determine the probability of a sum of 5 or 9

Let the sample space of the first die be S1 and the second, S2

[tex]S_1 = {1,2,3,4,5,6}[/tex] --- 6 outcomes

[tex]S_2 = {1,2,3,4,5,6}[/tex]  --- 6 outcomes

Number of sample space, n is:

[tex]n = 6 * 6[/tex]

[tex]n = 36[/tex]

Next, we list out all possibilities of obtaining a sum of 5

[tex]Sum\ of\ 5 = \{(1,4),(2,3),(3,2),(4,1)\}[/tex]

n(Sum5 )= 4

Next, we list out all possibilities of obtaining a sum of 9

[tex]Sum\ of\ 9 = \{(3,6),(4,5),(5,4),(6,3)\}[/tex]

n(Sum9)= 4

The required probability is then calculated as:

[tex]Probability = \frac{n(Sum9)}{Total} + \frac{n(Sum5)}{Total}[/tex]

[tex]Probability = \frac{4}{36} + \frac{4}{36}[/tex]

Take LCM

[tex]Probability = \frac{4+4}{36}[/tex]

[tex]Probability = \frac{8}{36}[/tex]

Simplify

[tex]Probability = \frac{2}{9}[/tex]

Answer: okay is that a question?

Step-by-step explanation:

Answer:

[tex]given \\ 13x + 9 = 6x - 12 \\ = > 13x - 6x = - 12 - 9 \\ = > 7x = - 21 \\ = > x = \frac{ - 21}{7} \\ = > x = - 3[/tex]

Answer:

50y + 25x = 800

&

50x + 25y = 800

The required value of x is 7.

In the given statement is:

m/HGS = 3x + 5,

m/SGF=21x +3, and m/HGF = 176º.

and, to find the value of 'x'

The two angles, ∠HGS & ∠SGF, when combined, will result in ∠HGF

m ∠HGS = 3x + 5

m ∠SGF = 21x + 3

m ∠HGF = 176°

Set the equation:

m ∠SGF + m ∠HGS = m ∠HGF

Plug in the corresponding terms to the corresponding variables:

21x + 3 + 3x + 5 = 176°

24x + 8 = 176°

24x = 176° - 8

24x = 168°

x = 168°/24

x = 7

Hence, The required value of x is 7.

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Answer:

4 3/4 inches

Step-by-step explanation:

Answer:

[tex]4\frac{3}{4}[/tex]

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

you have to rearange in the form of

y=mx+b, where m is the slope

y -6= -2( x-8)

y = 6 -2x + 16

y= -2x +22

slope is -2

Answer:

Slope: -5 Y-intercept: 3

Step-by-step explanation:

the slope intercept of a linear equation is:

y=mx+b

were m is slope. and b is the y intercept

therfore the problem is:

y=-5x+3

m=-5 so the slope is -5

b=3 so the y-intrercept is 3

Answer:

-5

Step-by-step explanation:

The slope is always in front of the x

Answer:

$88.3

Step-by-step explanation:

Here 42% of annual health premium($5450)=*5450

                                                                     =$2289

This amount is being paid by the company means it is deducted amount in one year.

One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.

Deducted amount=

                              =$88.30

Answer:

160

Step-by-step explanation:

there are 3 rectangles in the irregular figure cut across them with your pen by drawing lines and indicate using dimensions.

1. 4 by 6 =24

2. 6 by 11 =66

3. 7 by 10= 70

add them altogether

=160

Answer:

The maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅

Step-by-step explanation:

Given;

[tex]\frac{|5k-8|}{10} = 2\\\\|5k-8| = 20[/tex]

Simplifying further;

5k - 8 = 20 ------- (1)

5k - 8 = -20------(2)

Solving equation (1)

5k - 8 = 20

5k = 28

k = 28 /5 = 5 ³/₅

Solving equation (2)

5k - 8 = -20

5k = -20 + 8

5k = -12

k = -12 / 5  = -2 ²/₅

Thus, the maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅

Answer:

(6,7)

Step-by-step explanation:

took the test, was correct.

x= 6, y=7

solve for the first variable in one of the equations, then substitute the result into the other equations.

The value of x is 0.05 and y is 4.8 for given system of equations.

Two or more expressions with an Equal sign is called as Equation.

The given  system of equations are

y=2+56x...(1)

4x−3y=3...(2)

Substitute (1) in equation (2)

4x-3(2+56x)=3

4x-6+168x=3

172x-6=3

Add 6 on both sides

172x=9

Divide both sides by 172

x=9/172

x=0.05

Now plug in x value in equation 1

y=2+56(0.05)

=2+2.8

y=4.8

Hence, the value of x is 0.05 and y is 4.8 for given system of equations.

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Answer:

Jose answered incorrectly.  In his second step, where he expanded the term 5(c - 2), he multiplied the c by five, but failed to multiply the two, giving him, "5c - 2 - 2c" instead of the correct expression "5c - 10 - 2c".

Answer:

top one is right 100% right!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:4x2

Step-by-step explanation:

Answer:

58 degrees

Step-by-step explanation:

The equation in slope-intercept form is  y = - 2x - 3.

The general equation of a straight line is

y = mx + c,

where m is the gradient or slope, 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 the given equation is,

10x + 5y = - 15

Dividing the equation by 5 we get,

2x  + y = - 3

Subtracting 2x both the side we get,

2x  + y - 2x = - 3 - 2x

⇒ y = - 3 - 2x

or, y = - 2x - 3

This is the required slope-intercept form.

where -2 is the slope and -3 is the intercept.

Thus, the equation in slope-intercept form is  y = - 2x - 3.

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Answer:

$9.30

Step-by-step explanation:

Answer:

Jamal will put $9.30 in his P.Y.F. account this week.

Step-by-step explanation:

Jamal makes $186 a week. He plans to save 5% of that in his P.Y.F. account.

%5 of $186 is $9.30 ($186/20).

This week, he will put $9.30 in his P.Y.F. account.

Hope this helps!

Answer:

b.5

a-3

a.20

its korrect now

Answer:

75 is the answer to your question

Answer:

i believe its 75 my guy

Answer:

e) cos(90-x)

Step-by-step explanation:

sinx=cos(90-x)

The additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A

The SSS congruence theorem states that  If all the sides of one triangle are equivalent to the corresponding three sides of the second triangle, then,  the two triangles are said to be congruent.

From the diagram given, we have;

For the three sides of triangles NLM to be equivalent to that of LNY;

Line MN must be equal to line YL

Thus, the additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A

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Answer: = 4y + 7z + 8

Answer:

7z+4y+8

Step-by-step explanation:

Collect the like terms so 12z-5z would be 7z, then since there is only 1 y term it would be 4y, and -7 + 15= 8

Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.

By the factor theorem, we can write the quadratic in terms of its zeroes as

x² + kx + 12 = (x - a) (x - b)

Expand the right side and equate the coefficients:

x² + kx + 12 = x² - (a + b) x + ab

Then

a + b = -k

ab = 12

The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.

Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :

a + (a - 1) = -k   →   2a = 1 - k   →   a = (1 - k)/2

a (a - 1) = 12   →   (1 - k)/2 • ((1 - k)/2 - 1) = 12

→   (1 - k)²/4 - (1 - k)/2 = 12

→   (1 - k)² - 2 (1 - k) = 48

→   (1 - 2k + k²) - 2 (1 - k) = 48

→   k² - 1 = 48

→   k² = 49

→   k = ± √(49) = ±7

Answer:

2^6

Step-by-step explanation:

2^6=64

2x2x2x2x2x2=64

it's 2 to the power of 6

Answer:

0.4

Step-by-step explanation:

2 x 20=40

5 x 20=100

40/100= 0.40 simplified as 0.4

Answer:

2/5 as a decimal is 0.4

Step-by-step explanation:

2 divided by 5 would equal 0.4

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