An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with μ = 18.5 and σ = 3.6. What is the probability that during a given week the airline will lose: Find the value that the airport will lose less than 30% of all suitcases.

Therefore, the mistake Kiara made was to take the absolute value of the slope instead of correctly identifying the slope as a negative value.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc. Equations can have different types of solutions, including real solutions, complex solutions, and no solutions. Equations can be used to model a wide range of mathematical and scientific problems, and they are an essential tool for problem-solving in many fields.

Here,

The equation 28x - y = -20 is in the form of the standard linear equation Ax + By = C, where A, B, and C are constants, and x and y are variables.

To find the slope of a line from an equation in this form, we need to rearrange the equation into slope-intercept form, which has the form y =mx + b, where m is the slope of the line, and b is the y-intercept.

To do this, we need to isolate y on one side of the equation:

28x - y = -20

-y = -28x - 20

y = 28x + 20

Now we can see that the equation is in slope-intercept form, with a slope of 28, not -28 as Kiara thought.

Kiara made a mistake in identifying the slope of the line.

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Answer:

a + 2b

Step-by-step explanation:

Given the expression

2(a+2b) - a-2b

Open the bracket

2a+(2)2b- a-2b

2a+4b - a-2b

Collect the like terms

2a-a+4b-2b

a + 2b

Hence the equivalent expression is a + 2b

Answer:

d

Step-by-step explanation:

Answer:

[tex]P(x = 1) = 0.3970[/tex]

[tex]P(x = 2) = 0.1307[/tex]

[tex]P(x = 3) = 0.0191[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Step-by-step explanation:

Given

[tex]n =4[/tex]

[tex]p = 0.18[/tex]

Required

(a) - (d)

x | P(x)

0 | 0.452

1 |

2 |

3 |

4 |

To solve (a) to (d), we simply apply the following binomial probability formula

[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]

Solving (a):

[tex]x = 1[/tex]

So, we have:

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = 4 * (0.18)^1 * (1-0.18)^3[/tex]

[tex]P(x = 1) = 0.3970[/tex]

Solving (b):

[tex]x = 2[/tex]

So, we have:

[tex]P(x = 2) = ^4C_2 * (0.18)^2 * (1-0.18)^{4-2}[/tex]

[tex]P(x = 2) = 6 * (0.18)^2 * (1-0.18)^2[/tex]

[tex]P(x = 2) = 0.1307[/tex]

Solving (c):

[tex]x = 3[/tex]

So, we have:

[tex]P(x = 3) = ^4C_3 * (0.18)^3 * (1-0.18)^{4-3}[/tex]

[tex]P(x = 3) = 4 * (0.18)^3 * (1-0.18)^1[/tex]

[tex]P(x = 3) = 0.0191[/tex]

Solving (d)

[tex]x = 4[/tex]

So, we have:

[tex]P(x = 4) = ^4C_4 * (0.18)^4 * (1 - 0.18)^{4-4}[/tex]

[tex]P(x = 4) = 1 * (0.18)^4 * (1 - 0.18)^0[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Answer:

C 16

Step-by-step explanation:

Using ratios

3:12

12/3=4

4:x

4*4=16

x=16

4:16

hope this helps:)

Answer: 40 people

Step-by-step explanation:

There were 5 pies in the party and each person that came got an equal share of 1/8.

The number of people who were there is therefore:

= Number of pies / Share each person got

= 5 ÷ 1/8

= 5 * 8/1

= 40 people

Answer:

A) P = DA/V

Step-by-step explanation:

D = PV/A

DA = PV

DA/V = P

Answer:

39/100 or 39%

Step-by-step explanation:

1−(58/100+3/1000)

=39/100.

39%

Answer:

12 is the width

Step-by-step explanation:

1. To solve this problem we must first set up an equation:

96a=8l ×?w

2. this is what this equation means 96(area) equals 8(length) times what(width)

3. so we must find out what we must multiply by 8 to get 96

4. to do this we will divide 96 by 8

which equals 12!

Answer:

John was 17 miles away from where he started.

Step-by-step explanation:

The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.

Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].

So to solve this, work backwards:

[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]

The distance between the initial and final point will be 17 miles.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

This can be expressed as

H² = P² + B²

John drove his car due east for 8 miles.

He then turned south and drove 15 miles.

Then the distance between the initial and final point will be

H² = 8² + 15²

H² = 64 + 225

H² = 289

H = 17 miles

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Answer:

x = 16

Step-by-step explanation:

vertical angles are equal

3x = 2x+16

x = 16

Answer: x = 16

Step-by-step explanation:

Since they are vertical angles, we can set them up equal to each other:

3x = 2x + 16

Now, we simply solve for x by subtracting 2x on both sides of the equation.

3x = 2x + 16

x = 16

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

Following are the solution to the given expression:

Given:

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

To Find:

x=?

Solution:  

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

[tex]\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\[/tex]

cross multiply:

[tex]\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27[/tex]

Therefore, the answer is "27".

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Hello!

If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.

To give you a visual, this is what I mean.

[tex]y=kxz[/tex]

That means we'll want to find [tex]k[/tex] with the first point we're given: [tex](2,20,5)[/tex]

[tex]20=k(2)(5)[/tex]

[tex]20=10k[/tex]

[tex]k=2[/tex]

Which means our equation is:

[tex]y=2xz[/tex]

Now, let's plug in the [tex]x[/tex] and [tex]z[/tex] from the other point to find [tex]y[/tex].

[tex]y=2(3)(6)[/tex]

[tex]y=36[/tex]

Hope this helps!

Answer:

Hello!

If y varies jointly with x and z, it'll mean that x and z are being multiplied by a factor "k", to equal y.

To give you a visual, this is what I mean.

That means we'll want to find  with the first point we're given:

Which means our equation is:

Now, let's plug in the  and  from the other point to find .

Step-by-step explanation:

9514 1404 393

Answer:

  (-2, 1)

Step-by-step explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

  (x, y) ⇒ (-x, -y) . . . . . rotation 180°

  (2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).

Answer:

1430

Step-by-step explanation:

S=450+70T

S= 450 + 70(14)

S=450+980

S=1430

Answer:

18 years

Step-by-step explanation:

Transforming the question in form of equation:

Let x be the current age.

x + 32 = 5(x-8)

x + 32 = 5x - 40

5x - x = 40 + 32

4x = 72

x = 18

Answer: look at this! He’s 18

Step-by-step explanation:

equation = x+32=5(x-8)

X+32=5x-40

5x-x=32+40

4x=72

X=72/4

=18

Answer: pi/2

Step-by-step explanation:

Answer:

B, C, and E

Step-by-step explanation:

A. 42/6 = 7     Not correct

B. 42/7 = 6     Correct

C. 108/18 = 6  Correct

D. 40/5 = 8     Not correct

E. 96/16 = 6     Correct

Answer:

1/2

Step-by-step explanation:

you could get 2 or 4 or 6

Answer:

[tex]3x - 3 \leqslant 2 \times (x + 1) + x \geqslant 0 = [/tex]

Step-by-step explanation:

[tex]3x - 3 \leqslant (2 \times x) - (2 \times 1) + x \geqslant 0[/tex]

Answer: curve 60 angle 90

Step-by-step explanation:

Answer:

1/3 of the pumpkin pie

Step-by-step explanation:

2 pies can equal 6 pieces, 3 pieces a pie

If their are 6 friends and 3 pieces a pie then then they will have a 1/3 of the pie each

1/3 times 6 equals  6/3, which equals 2 pies

37000 + 37000\(0.09)

is the answer.

Answer: hi hope this helps

Step-by-step explanation:

Answer:

-5 and 9

Step-by-step explanation:

Graph the equation on a graph.

You can also simplify the equation into y=mx+b form and then graph:

y=-3(x+5)(x-9)

y=(-3x-15)(x-9)

y=-3x^2+27x-15x+135

y=-3x^2+12x+135

Answer:

[tex]3\frac{11}{12}[/tex] cups

Step-by-step explanation:

[tex]2\frac{1}{2} = \frac{5}{2}[/tex] of pears

[tex]\frac{2}{3}[/tex] of grapes

[tex]\frac{1}{4}[/tex] of apples

[tex]\frac{1}{2}[/tex] of orange

when adding fractions, make sure all denominators are the same:

[tex]\frac{5}{2} = \frac{30}{12}[/tex] of pears

[tex]\frac{2}{3} = \frac{8}{12}[/tex] of grapes

[tex]\frac{1}{4} = \frac{3}{12}[/tex] of apples

[tex]\frac{1}{2} = \frac{6}{12}[/tex] of orange

add all of the fractions:

[tex]\frac{30}{12} + \frac{8}{12} + \frac{3}{12} + \frac{6}{12} = \frac{47}{12}[/tex]

convert to mixed fraction:

[tex]\frac{47}{12} = 3\frac{11}{12}[/tex]

Look at the other guys

Answer:

4

Step-by-step explanation:

24xy---> 2

-xy3--->4

x2--->2

Answer:

The answer to this problem is 4q+30