Archer wants to find the average number of the 25,000 passengers on a national airline that check one item of luggage. He
randomly selects 1,000 passengers in his home state of North Carolina who flew in the past year, and he found that 70% of the
passengers checked one item of luggage. What assumption can be made regarding the proportion of all the passengers who check
one item of luggage?

Answer:

2.4*10+4.87*10

24+103

127

Step-by-step explanation:

Answer:

From left to right: 1st box: 2x^2

2nd: x

3rd:-4x

4th: -2

The product is 2x^2 - 3x - 2

Answer:

3.3lbs

Step-by-step explanation:

5 x 2/3 = 3.3

Answer:

4/13

Step-by-step explanation:

4 queens and 13 hearts

4/ 52 + 13/52 - 1/52

16/52

4/13

Answer:

Step-by-step explanation:

There are 13 hearts in 52 cards. C From above, P(Queen)=4/52 and P Heart=13/52, the queen of hearts is in both categories so we have to subtract 1/52 so we don't double count.

Answer:

The change in temperature from 15 degrees to -9 degrees is 24 degrees.

Step-by-step explanation:

Pls mark brainliest if im right. Sorry if im wrong tho. :/

Answer:

The answer to your question would be 18.

Step-by-Step explanation:

simplify, 3^4/9

3^4 divided by 3^2 = 3(^4-^2) = 3^2

9*2 = 18

I hope this helps! Have a great day! :]

Answer:

use the app socratic to find the answer

Answer:

8/9

Step-by-step explanation:

5a-3=a/2+1

2(5a-3)=a+2

10a-6=a+2

10-a=6+2

9a/9=8/9

a=8/9

Answer: A

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angle.

146° is an exterior angle of the triangle, then

5y + 3 + 4y + 8 = 146

9y + 11 = 146 ( subtract 11 from both sides )

9y = 135 ( divide both sides by 9 )

y = 15

Then

∠ A = 5y + 3 = 5(15) + 3 = 75 + 3 = 78°

∠ B = 4y + 8 = 4(15) + 8 = 60 + 8 = 68°

∠ C = 180° - (78 + 68)° ← sum of angles in triangle = 180°

∠ C = 180° - 146° = 34°

Answer:

a

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

14.93°

Step-by-step explanation:

Using trigonometry :

From the diagram attached :

Angle of elevation = x

To obtain the value of x

Tan x = opposite / Adjacent

Tan x = 8 / 30

Tan x = 0.266666

x = tan^-1(0.26666)

x = 14.93°

Therefore, the angle of elevation is 14.93°

Answer:

7

Step-by-step explanation:

Let us say that [tex]y_{1}[/tex]= 5.5, [tex]x_{1}[/tex]= 11, and [tex]y_{2}[/tex] = 3.5.

[tex]\frac{y_{2}}{y_{1}} =\frac{x_{2}}{x_{1}}[/tex]

[tex]\frac{3.5}{5.5} =\frac{x_{2}}{11}[/tex]

[tex]\frac{7}{11} =\frac{x_{2}}{11}[/tex]

[tex]x_{2} =7[/tex]

I hope this is correct and helps you!

Answer:

15hrs

Step-by-step explanation:

We can start by expressing the speed of the second trip as x. This means that the first trip must be x-1, and second (x-1)-1=x-2. Next we can form an equation with the information that the third day hike takes 30 min longer than second day hike. Since we now the distance of both days, we can express them in time. So... [tex]\frac{18}{x}+\frac{1}{2}=\frac{14}{x-2}[/tex] ... We can solve by finding a LCM of all three expressions. Doing so we get 2x(x-2). Now multiplying out with the new denominators, we get 36(x-2)+x(x-2)=28x. Solving as a quadratic equation, the solution comes out to be x=6, x=-12. But as speed can't be negative, only solution is x=6. Now we get the speed of each day's hike. First day=x-1=5, second day=6, third day =x-2=4. Finding the time is simple, just do distance/speed. First day=12.5/5=2.5hrs. Second day=18/6=3hrs. Third day=14/4=3.5hrs. Adding total hrs up... 2.5+3+3.5=9. Finally step is accounting for the 2hr digging time per day. 2hrs*3= 6hrs. 6hrs+9hrs=15hrs. Hope this helps!

Answer:

30°

Step-by-step explanation:

It tells us that MFE is equal to (x + 6)° so we need to find x

The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°

The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.

They told us that PFR = (3x - 4)°

so that means that (x + 6) + (3x - 4) = 90°

Knowing that we can just solve the equation by combining like terms

4x + 2 = 90

      Subtract two from both sides

4x = 88

       And then divide by 4

x = 22

Now we can plug in 22 in the original equation to find MFE

22 + 6 = 30

so MFE = 30°

Answer:

Step-by-step explanation:

exponents raised to a - power  is an inverse function probably not the right word

       a^-b    =  1/(a^b)     example       4^-2   = 1/(4^2)     =  1/16

so   (7^-1)^-1  is a double inverse which is back to the original number  7

      inverted 7 twice

      (7^-1)^-1     = (1/7)^-1     =  1/(1/7)     =   7     trust me or use your calculator

since the coeffients are the same  just add the powers...  some exponent rule

     5^2 * 5^4 * 5^-3   = 5^(2+4-3)   = 5³

here is it written out

5^2 * 5^4 * 5^-3    = 5²  ×   5^4   ×  5^-3    =   (5×5) × (5×5×5×5)  × (1/5×1/5×1/5)

    5×5 × 5× (5×5×5  × 1/5×1/5×1/5)           (5×5×5  × 1/5×1/5×1/5)  = 1

    5×5×5    = 5³

   so

Answer:

gngngngngngngngngngng

Answer:

n = 99

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 1 , d = 2 and [tex]S_{n}[/tex] = 9801 , then

[tex]\frac{n}{2}[/tex] [ (2 × 1) + 2(n - 1) ] = 9801 ( multiply both sides by 2 to clear the fraction )

n(2 + 2n - 2) = 19602

n(2n) = 19602

2n² = 19602 ( divide both sides by 2 )

n² = 9801 ( take the square root of both sides )

n = [tex]\sqrt{9801}[/tex] = 99

The number of terms summed is 99

Answer:

it should be G.

Step-by-step explanation:

Answer:

$33

Step-by-step explanation:

3200-2144= 1056

1056/32= 33

Answer:

degree of the polonomial  : 6

Step-by-step explanation:

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

7x²z²⇒4

6xy²z³⇒6

−5x⇒1

8y⇒1

The largest exponent is the degree of the polynomial.

6

Using the formula for the volume of a right cylinder, we can determine the volume of the water tank.

Formula for the volume of a right cylinder: V = π (d /2)^2

h = π * (8/2)^2  ·11 ≈ 552.92

Therefore, the volume of the tank is approximately 552.92 ft.

9514 1404 393

Answer:

  f(x) = 2(x -3)² +5

Step-by-step explanation:

For vertex (h, k) and scale factor 'a', the vertex form is ...

  f(x) = a(x -h)² +k

We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.

  55 = a(-2 -3)² +5

  50 = 25a . . . . . . . . subtract 5

  a = 2 . . . . . . . . . . . divide by 25

So, the function is ...

  f(x) = 2(x -3)² +5

__

In standard form, that will be ...

  f(x) = 2x² -12x +23

Answer: 12 inches

Step-by-step explanation:

This is a square shaped mirror which means that it takes the shape of a square.

All sides on a square are equal and because the way the find the area of a square is to multiple the Length by the Width, you would be squaring the same number to find the area.

Length of each side = √area

= √144

= 12 inches

Answer:

4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

factor the square root of 32

to get a total of 32, you do 4 times 4, which is 16

16 times 2 =32

16 is a perfect square so it's outside of the square root symbol, but you can't find the square root of 2 without it being irrational.

So,

final answer: 4[tex]\sqrt{2}[/tex]

Answer:

6/10

Step-by-step explanation:

6/10 is equal to 3/5 because you can multiply 3/5 times 2. So multiply the numerator(3) times 2, which is 6, then multiply the denominator(5) times 2 as well, which is 10.

Hope this helped!

P.S (in case you don't know the definition of numerator or denominator)

Nominator- the top number of a fraction.

Denominator- the bottom number of a fraction.