Flight times An airline flies the same route at the
same time each day. The flight time varies according
to a Normal distribution with unknown mean and
standard deviation. On 15% of days, the flight takes
more than an hour. On 3% of days, the flight lasts
75 minutes or more. Use this information to deter-
mine the mean and standard deviation of the flight
time distribution.

An example of a continuous quantitative variable that might be included in the brochure is; A: number of seats

Quantitative continuous variables are defined as the variables whereby their values are uncountable while also having a number of possibilities that are infinite.

A discrete quantitative variable is a variable that can be counted. This means that they are written in units whereby numbers will be counted and can be assigned.

From the question, the number of seats that are inside the car are countable. Thus, it can be evaluated based on its numerical value, instead of quality. In short, we can even say that the buyers were of the opinion that the more the number of seats that were in the car, the more the number of people the car was able to carry. Thus, we can conclude that the family would love to buy a car that has a reasonable number of seats.

Thus, we can conclude that the type of the transmission is a qualitative variable.

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Number of adult tickets that were sold that day is 54.

Given,

Cost of child ticket = $5.20

Cost of adult ticket = $8.70

Total sales of tickets = $885.80

Let the number of child tickets sold on that day be x

Let the number of adult tickets sold on that day be y

Total number of tickets sold on that day = 134

Using the above data, we can draw relations between the given variables and make two equations. Solving the two equations for the two variables will give the answer.

Eq 1 :

5.20x + 8.70y = 885.80

Eq 2 :

x + y = 134

These two equations can be solved using the elimination method.

Multiply Eq 2 with 8.70.

=> 8.70x + 8.70y = 1165.8   -   Eq 3

Substract Eq 3 from Eq1 to eliminate the variable y and find the value of variable x

 5.20x + 8.70y = 885.80

- 8.70x - 8.70y = - 1165.8

______________________

- 3.5x  + 0        =  -280

=> 3.5x = 280

=> x = 80

Substituting the value of x in Eq 2

=> x + y = 134

=> 80 + y = 134

=> y = 134 - 80

=> y = 54

Therefore, we get the number of child tickets and adult tickets sold that day as 80 and 54, respectively.

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Answer:

2 to 5 different ways

Step-by-step explanation:

Answer:

12 different ways he can dress

Step-by-step explanation:

Let The Pant be A and Shirt be B

So, we have 3 pair of pants i.e., 6 Pants

Here, We assumed that the pant be A then 6 pants be

A₁ A₂ A₃ A₄ A₅ A₆

Now, For Shirts

We have 2 Shirts

But we assumed that the Shirt be B then 2 Shirts be

B₁ B₂

Then, We will make pair of A and B

A₁ = B₁

A₂ = B₁

A₃ = B₁

A₄ = B₁

A₅ = B₁

A₆ = B₁

A₁ = B₂

A₂ = B₂

A₃ = B₂

A₄ = B₂

A₅ = B₂

A₆ = B₂

Thus, 12 different ways he can dress

-TheUnknownScientist

Answer:

Step-by-step explanation:

You want the simplified form of (5b^1c^-5)^-3(4b^0a^2)^-5.

There are several useful rules of exponents here:

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

  a^-b = 1/(a^b)

Simplifying the top-level exponents first, we have ...

  [tex](5b^1c^{-5})^{-3}(4b^0a^2)^{-5}=(5^{-3}b^{1(-3)}c^{(-5)(-3)})(4^{-5}b^{0(-5)}a^{2(-5)})\\\\=(5^{-3}4^{-5})a^{-10}b^{-3+0}c^{15}=\dfrac{1}{5^34^5}a^{-10}b^{-3}c^{15}=\boxed{\dfrac{1}{128000}a^{-10}b^{-3}c^{15}}[/tex]

In terms of answer requirements:

  n = 1/128000

  r = -10

  s = -3

  t = 15

Answer:

determine the area of the square ABCD with AB=5cm and BC=3cm

So I think I had this for Imagine Math, so here is what I got :D;

Franco (6 items): 6 notebooks = 1.89+1.89+1.89+1.89+1.89+1.89= 11.34

Ivanna (3 items): 1 colored thingy + 2 sharped thingy = 4.29+2.45+2.45= 9.19

Esther (4 items): 1 colored thingy + notebook + sharpened thingy = 1.89+2.45+0.54+4.29= 9.17

I really hope this helps :DDDDDDDD

Answer:

95.5 °F

Step-by-step explanation:

A linear regression model is used to represent the relationship between two variables in form of a linear equation. A linear regression line equation is in the form Y = a + bX, where X is the independent variable, Y is the dependent variable, b is the slope of the line and a is the Y intercept (the value of y when x = 0).

Given that x represents the temperature (°F) and y represents the number of ice cream cones sold.

We have the equation as y = 1.8x - 76.9.

Given a 95 ice cream cones sold, to find the temperature, we substitute y = 95 and find x:

y = 1.8x - 76.9

95 = 1.8x - 76.9

1.8x = 95 + 76.9

1.8x = 171.9

x= 95.5 °F

When they sell 95 ice cream cones, the temperature is approximately 95.5 °F

Answer:

x=

−32/9y +14/9

Step-by-step explanation:

Answer:

x = 45

y = 7

Step-by-step explanation:

To obtain the value of x and y, do the following:

√7 – 3√5

Rearrange

– 3√5 + √7

Multiply through by –1

3√5 – √7 ... (1)

Express 3√5 as a single surd

3√5 = √(3 × 3 × 5)

3√5 = √45

Replace 3√5 with √45 in equation 1

3√5 – √7

√45 – √7

Comparing

√45 – √7 and √x – √y i.e

√45 – √7 = √x – √y

x = 45

y = 7

Answer:

C, 4+x=15

Step-by-step explanation:

since you're trying to find x you need to isolate it, so use the other numbers you have, 19 and 4, subtract 4 from 19, (19-4) to get x=15.

Step-by-step explanation:

Hey there!

Please see explanation in picture.

Hope it helps......

Answer:

x is the sidelength of the square;

f(x) = x^(2)

8100 = x^(2)

90 = x

Answer:

93

Step-by-step explanation:

Let the digit in tens place be 'x' & digit in ones place be 'y'.

So , the original number = [tex]10x+y[/tex]

According to the question , [tex]x+y=12[/tex]......... .eqn(1)

When digits are interchanged ,

The new number formed = [tex]10y+x[/tex]

According to the question , [tex]10y+x=10x+y-54[/tex] ............ eqn(2)

Solving eqn(2) further ,

[tex]10y+x=10x+y-54\\=>10x-x-10y+y=54\\=>9x-9y=54\\=>9(x-y)=54\\=>x-y=\frac{54}{9}=6.......... eqn(3)[/tex]

Adding eqn(1) and eqn(3) ,

[tex](x+y)+(x-y)=12+6\\=>x+y+x-y=18\\=>2x=18\\=>x=\frac{18}{2} =9[/tex]

Putting the value of x in eqn(1),

[tex]9+y=12\\=>y=12-9=3[/tex]

∴ Original number = 93

Answer:

-3072

Step-by-step explanation:

According to the given statement the volume of medicine will give to the patient = 0.27ml.

A substance's density is defined as its mass per unit volume. The most common symbol for density is, but the Latin letter D is also an option.

Density is an important topic because it tells us which compounds will float and which will sink when placed in some kind of liquid. Substances float in general if their density is smaller than the density of the liquid in which they are immersed.

ρ = m/v

ρ = density

m = mass

V = volume

Medicine = 4500mg

The medication comes in 5g/0.3mL

We know that:

mL = mg / 1000

So,

ml = 4500/1000

    = 4.5ml

Formula for finding volume = weight/density

                                              = 4.5/(5/.3)

                                              = (4.5 * 0.3)/5

                                               = 0.27ml

According to the given statement the volume will give to the patient = 0.27ml.

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Answer:

2(3x-7) = 6x-14 has infinite solutions

-5x+12 = -5(x-2) has no solutions

4(x-2) = 3x+1 has one solution x = 9

Step-by-step explanation:

Answer:

1L of 30% fertilizer and 9L of 10% fertilizer

Step-by-step explanation:

Let x = the amount of fertilizer containing 30% nitrogen.

Let y = the amount of fertilizer containing 10% nitrogen

x + y = 10 because the two fertilizers together will be 10L

0.3x will be the amount of nitrogen in the 30% nitrogen fertilizer, and 0.1y will be the amount of nitrogen in the 10% fertilizer. If you add those together, you will get 12% of the nitrogen in the 10L mixture. This makes this equation:

0.3x + 0.1y = 0.12(10)

0.3x + 0.1y = 1.2

Now we have our two equations.

x + y = 10

0.3x + 0.1y = 1.2

We can use substitution to solve this system of equations.

x = 10 - y

Substituting this into the second equation, we have:

0.3(10-y) + 0.1y = 1.2

3 - 0.3y + 0.1y = 1.2

3 - 0.2y = 1.2

1.8 = 0.2y

9 = y

10 - 9 = 1L

There will be 9L of 10% nitrogen fertilizer and 1L of 30% nitrogen fertilizer.

Answer:

Step-by-step explanation:

+0 +1 +2 +3 +4 +5 +6 +8 +9 +： +； +＜ +＝ +＞ +［ +］ +a +b +c +d +e +f +g +h +i +l +m +n +o +p +r +s +t +u +v +w +y +～ +・ ...

Answer:

1758 years

Step-by-step explanation:

0.693/t1/2 = 2.303/t log No/N

t1/2 = half life of the C-14

t= time taken

No= amount of radioactive material originally present

N= amount of isotope after time t.

But N= 0.81 No

0.693/5715= 2.303/t log No/0.81No

0.00012 = 0.211/t

t =0.211 /0.00012

t= 1758 years

Answer:

15

Step-by-step explanation:

For each 11 students, 5 are wearing sneakers, and 6 are wearing boots.If you have 33 students, then you multiply by 3 to find that 15 are wearing sneakers, and 18 are wearing boots hope it helps!

i think its angle bisector

i think its.......

i think itssss

carrot

Answer:

the linear function is y=-3^2+1

Answer:

Unknown

Step-by-step explanation:

ajkdfhlkhalukdjglahgfjhgdljhdfjgajdfgaiufgyhj

Answer:

Sum of 5a

2

−3a+2+(−8a

2

+5a+6)

=5a

2

−3a+2−8a

2

+5a+6

Sum=−3a

2

+2a+8

Subtract a

2

+7a−4

=−3a

2

+2a+8−(a

2

+7a−4)

=−3a

2

+2a+8−a

2

−7a+4

=−4a

2

−5a+12

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Work below!

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

First, divide $1,190 by 40(hours).

29.75

Now, divide by 20%.

5.95 (round up to 6)

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Hope this helped!

~pinetree