Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go"), so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 52% of its customers order their food to go. If this proportion is correct, what is the probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go?
Round your response to at least three decimal places

Answer:

2/7 or -30/7

Step-by-step explanation:

Use the quadratic formula

a = 7, b = 2, c = -1

-2 + or - (sqrt (2^2 - 4 * 7 * -1) / 2 * 7

-2 + or - 32/14

-2 + or -  16/7

2/7, or -30/7

Answer:

Step-by-step explanation:

7x² + 2x - 1 = 0

x = (-2 ±[tex]\sqrt{2^2 - 4(7)(-1)}[/tex] )/ (2(7))

x = (-2 ± [tex]\sqrt{32}[/tex] ) /14

x = (-2 ± 4[tex]\sqrt{2}[/tex] ) /14

x = [tex]\frac{-1}{7}[/tex] ± [tex]\frac{2}{7}[/tex][tex]\sqrt{2}[/tex]

Answer:

 11.6 (6 is repeating)

Step-by-step explanation:

1.75 divided by 15% of 75

Answer:

2x + 2 = 28

2x = 26

x = 13

Step-by-step explanation:

Answer:

32+24=8(4+3)

20+8=4(5+2)

100+75=25(3+4)

49+28=7(7+4)

32+24=12(3+2) I don't know if this is right because 12 times 3 is 36 but that was the last option

Step-by-step explanation:

it's distributive property you multiply the numbers on the inside by the numbers on the outside.

Answer:

the answer is  2,500

Step-by-step explanation:

any number higher than 5 you round up but any number lower than 5 you round down.

4 is lower than 5 so you round it down and the 5 stays the same, and replace it with 0's.

Answer:

Charlie is walking to the stadium. He has to wait for the traffic to stop, so he can cross the street. The light turns red and he is able to cross. He makes it to the stadium.

Step-by-step explanation:

hope this helps!!

Answer:

Charlie began walking and continued at a speed of 4 mph for 24 minutes. Then he stopped walking and took an 8-minute rest. He then walked for 16 minutes at a constant speed of 4 mph. Finally, Charlie slowed his pace down but kept walking for another 16 minutes.

Answer: Perpendicular

Explanation:

One example of a pair of perpendicular lines would be having one horizontal line and one vertical line. They form a right angle which is 90 degrees.

Answer:

Perpendicular lines

Step-by-step explanation:

Answer:

= 130°

Step-by-step explanation:

a far away exterior angle is equal to the sum of two far interior angles

50+80 = x

Answer:

x + 2 [tex]\leq[/tex] 25

Step-by-step explanation:

The given algebraic sentence means is x + 2 ≤ 25

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

ATQ

x + 2 ≤ 25

To learn more about inequalities from here

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Answer:

a) x + 33

Step-by-step explanation:

x is the number of miles driven. Therefore, the answer for b is $333

Because it is the miles driven plus 33

Answer:

Step-by-step explanation:

This is the equation. Read it carefully.

1/2 * 1/7 T = 1/3 * 1/5 * 90   Reduce

(1/14) * T = 1/15 * 90

1/15 * 90 = 6

(1/14)*T = 6                          Multiply both sides by 14

T = 14 * 6

T = 84

Answer:

9/12

6/8

30/40

27/36

15/20

Step-by-step explanation:

274.32 is the answer. Tell me if I need to be more precise.

Answer:

10x^2+x-2

Step-by-step explanation:

(2x+1)(5x-2)

10x^2+5x-4x-2

10x^2+x-2

Answer:

  $687.42

Step-by-step explanation:

The total with tax is ...

  (price) + (tax rate)×(price)

  = price(1 +tax rate)

  = $643.95×1.0675 ≈ $687.42 . . . price with tax

Answer:

A≈117.81 square inches

Step-by-step explanation:

just plug it in formula.

Answer:

117.8 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arithmetic sequences have a common difference. Often, checking for that is the easiest. Geometric sequences have a common ratio. If there is neither a common difference nor a common ratio, then the sequence is not one of these types.

The difference or ratio refers to the relation of a term in the sequence to the one before it. For example, 94.1 -98.3 = -4.2. If the same difference exists for subsequent pairs of terms, then the difference is said to be "common." Likewise, 3.5/1.75 = 2. If the same ratio exists for subsequent pairs of terms, it is a "common" ratio.

__

98.3, 94.1, ... -- arithmetic (common difference = -4.2)

1, 0, -1, 0, ... -- neither

1.75, 3.5, ... -- geometric (common ratio = 2)

-12, -10.8, ... -- arithmetic (common difference = -1.2)

-1, 1, ... -- geometric (common ratio = -1)

Answer: Arithmetic (98.3,94.1, 89.9, 85.7,...)  (-12,-10.8, -9.6,-8.4)

Geometric (1.75,3.5,7, 14) (-1,1,-1,1,...)

Neither (1,0,-1,0,...)

Step-by-step explanation:

I guarantee these are correct.

Answer:

length of the guy wire: 49.056

Step-by-step explanation:

here are the steps

Answer:

47 FT

Step-by-step explanation:

[tex]\dfrac 56 x + \dfrac25 y - \dfrac14 x + \dfrac3{10} y[/tex]

First, combine like terms:

[tex]\left(\dfrac 56 - \dfrac14\right) x + \left(\dfrac25 + \dfrac3{10}\right)y[/tex]

Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.

[tex]\dfrac56 - \dfrac14 = \dfrac56\cdot\dfrac22 - \dfrac14\cdot\dfrac33 = \dfrac{5\cdot2}{6\cdot2} - \dfrac{1\cdot3}{4\cdot3} = \dfrac{10}{12} - \dfrac3{12} = \dfrac{10-3}{12} = \dfrac7{12}[/tex]

[tex]\dfrac25 + \dfrac3{10} = \dfrac25\cdot\dfrac22 + \dfrac3{10} = \dfrac{2\cdot2}{5\cdot2} + \dfrac3{10} = \dfrac4{10} + \dfrac3{10} = \dfrac{4+3}{10} = \dfrac7{10}[/tex]

So the simplified expression would be

[tex]\dfrac7{12} x + \dfrac7{10} y[/tex]

Answer:

A

Step-by-step explanation:

125% of 25 is the same as 5/4 of 25.

Divide by 5 and you get 5. 1/4 is 5, so 100% or 4/4 is 20

Answer:

it's a

Step-by-step explanation:

trust

Answer:

Identity property of addition

Step-by-step explanation:

Replace x in the equation with -1 and solve:

6(-(-1) + 3)

Simplify the parentheses: 6(1 + 3)

Add inside the parentheses:

6(4)

Multiply

6 x 4 = 24

Answer : 24

Answer:

dont do anything if im wrong but i thinks its 50 plants

Step-by-step explanation:

Answer:

31/99

Step-by-step explanation:

Becuase the numerator is lesser than the denominator

Answer:

C. 31/99

Step-by-step explanation:

It's C because a proper fraction is a fraction with a numerator that is less that it's denominator in its lowest terms

Answer:

1 3/8   D

Step-by-step explanation:

The first and most obvious part of the answer is that the paper clip is at least 1 inch long. The question is how much longer?

It is between 1/4 of an inch and 1/2 of an inch. In fact it is exactly half way between them.

So that resembles an average.

(1/4 + 1/2)/2 = (1/4 + 2/4) / 2 = (3/4)/2

[tex]\frac{\frac{3}{4} }{2} = \frac{\frac{3}{4} }{\frac{2}{1} }[/tex]

Now the trick is to invert the denominator (make it 1/2) and multiply

3/4 * 1/2 = 3/8

Answer:

  3.9

Step-by-step explanation:

Your calculator will tell you ...

  (2.28×10^8)/(5.79×10^7) ≈ 3.9

Mars is about 3.9 times as far from the sun as Mercury.

Answer:

6cm

Step-by-step explanation:

let height of ladder be x

so if height of ladder is x then the distance from the base of the ladder to the base of the slide is x+2

Assuming this is a right angle triangle, the slide is the longest lenght (c)

so

x²+(x+2)²=10²

x²+x²+4x+4=100

2x²+4x+4=100

2x²+4x+4-100=0

2x²+4x-96=0

2(x²+2x-48)=0

x²+2x-48=0 -- Factor

(x+8)(x-6)=0

x=-8 and x=6

since height cannot be a negative number

height of ladder is 6 cm

The base length is 8 feet. Then the height of the triangle will be 6 feet.

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

The Pythagoras theorem formula is given as

H² = P² + B²

The length of a slide on a swing set is 10 ft.

The distance from the base of the ladder to the base of the slide is 2 ft more than the height of the ladder.

Let x be the length of the height of the triangle. Then the base of the triangle will be (x + 2).

10² = (x + 2)² + x²

100 = x² + 4x + 4 + x²

96 = 2x² + 4x

48 = x² + 2x

0 = x² + 2x - 48

0 = (x - 6)(x + 8)

x = 6, -8

Then the base length is 6 ft. Then the height of the triangle will be

B = x + 2

B = 6 + 2

B  = 8 ft

More about the Pythagoras theorem link is given below.

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Answer:

p=36

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

p/18+7-(9)=0

Simplify p/18

(p/18+7)-9=0

7= 7/1= 7*18/18

p+7*18/18=p+126/18

(p+126)/18-9=0

9=9/1=9*18/18

(p+126)-(9*18)/18=p-36/18

p-36/18=0

p-36=0

p=36

Hope this helped :)

Answer:

a₈ = 2

Step-by-step explanation:

Substitute n = 8 into the nth term rule

A(8) = - 12 + 2(8 - 1) = - 12 + 2(7) = - 12 + 14 = 2