At noodles & company restaurant, the probability that a customer will order a nonalcoholic beverage is .48. Find the probability that in a sample of 12 customers, none of the 12 will order a nonalcoholic beverage.

Answer:

The correct statements are:

• Second statement: 0.25 indicates an unlikely event

• Third statement: 0.75 indicates a likely event

• Last statement: 0.5 indicates equally likely to occur or not occur.

Explanation:

Since the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring, you can translate it into:

You migth split the likelihood in some notorius outcomes:

That means that:

The correct statements are:

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

If probability is 0.5, there are equal chances that the event might occur or would not occur. If probability is less than 0,5, it is unlikely the even t would occur and if it is greater than 0.5, it is likely the event would occur.

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Answer:

4

Step-by-step explanation:

<=> 12x = 83 1/3 + 2/3

<=> 12x = 84

<=> x = 84/12

<=> x = 4

Answer:

the answer is 8

Answer:

the answer is 8 because i just did it on E.B

Answer:

The answer is 66

Step-by-step explanation:

plz give brainliest

Answer:

Claudia is 63 years old

Step-by-step explanation:

Find two numbers that subtract to get 6, but add to get 120.

I used 57 and 63. If Claudia is 6 years older than Bill, then she would have to be 63.  

57 + 63 = 120

63  - 57 = 6

Answer:22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

7x + 4x

7(2) + 4(2)

14 + 8

Answer= 22

Hope this helped!! :)

Answer: C) 78 in2

Step-by-step explanation:

The polygon is divided into two trapezoids with equal measurements.

Area of a trapezoid:

1

2

(b1 + b2)h

Since the area of the hexagon equals the area of two trapezoids with equal measurements, do not multiply by 1/2.

(b1 + b2)h

(10 + 16)3

26(3)

78 in2

Answer:

Answer: C) 78 in2

Step-by-step explanation:

Answer:

A. 1/9 cup of flour per scone.

B. 9 scones per cup of flour.

Step-by-step explanation:

We're given that Tobias uses 2/3 cup of flour makes 6 scones.

A. The unit rate of cup of flour per scone will be the cup of flour used to make a particular number of scones divided by that number of scones. Mathematically,

U. R. = (cup of flour)/(number of scones)

U. R. = (2/3)/6= 2/(3 *6)

U. R. = 2/18 = 1/9 or 0.11 scones per cup of flour.

B. (i) Method 1

Following the same method we used in (A) above, we need to divide the number of scones by the cup of flour used to make said number of scones. Mathematically,

U. R. = (number of scones)/(cup of flour)

U. R. = 6/(2/3) = (6 * 3)/2

U. R. = (6 * 3)/2 = 18/2

U. R. = 9 scones per cup of flour.

(ii) Method 2

Let the number of scones that can be made with 1 cup of flour(Unit rate for number of scones per cup of flour) be x. Then:

2/3 cup of flour = 6 scones

1 cup of flour = x scones

By cross multiplying and solving:

x = (6 * 1) / (2/3)

x = (6 * 3) / 2

x = 18/2 = 9 scones per cup of flour.

Answer:

[tex] \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]

Step-by-step explanation:

We want to simplify:

[tex] {r}^{ - 7} + {s}^{ - 12} [/tex]

Let us rewrite as positive index to get:

[tex]{r}^{ - 7} + {s}^{ - 12} = \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]

We now find LCM to get:

[tex]{r}^{ - 7} + {s}^{ - 12} = \frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} } [/tex]

Therefore the simplified form of the given expresion is:

[tex] \frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} } [/tex]

But from the provide option, they only want us to rewrite as positive index without simplifying further

Answer:

For A) it is possible that the speed  the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.

Step-by-step explanation:

Data provided in the question:

Maximum error  on a car speedometer = 1.6% = 0.016

Maximum Speed limit on the road = 65 miles per hour

Now,

The error will be ± 1.6%

Now,

When the speedometer reads 64 miles per hour

The possible speed of the car can be

64 miles per hour + Error

= 64 + [0.016 × 64]

= 64 + 1.024

= 65.024 miles per hour

or

The speed can be

64 miles per hour - Error

= 64 - [0.016 × 64]

= 64 - 1.024

= 62.976 miles per hour

Hence,

For A) it is possible that the speed  the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.

The factor of the provided polynomial after the factorization process are similar to option C,  (x+7)(x²-2)

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

Find these factors by taking out the common factors.

The given polynomial equation in the problem is,

x³+7x²-2x -14

The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor x², which can divide each term of the first two terms of equation (x³, 7x²). Thus,

x²(x+7)-2x-14

Take out the highest common factor -2 from the second two terms as,

x²(x+7)-2(x+7)

Now take out the common group (x+7) as,

(x+7)(x²-2)

Hence, the factor of the provided polynomial after the factorization process are similar to option C, which is

(x+7) (x²-2)

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The formula, when solved for B is, [tex]\frac{1}{2}(A-PH)[/tex].

Step-by-step explanation:

Given,

Formula used to find surface area of a rectangular prism

A = PH + 2B

Solving the formula for B;

Subtracting PH from both sides

[tex]A-PH=PH-PH+2B\\A-PH=2B\\2B=A-PH[/tex]

Dividing both sides by 2

[tex]\frac{2B}{2}=\frac{A-PH}{2}\\\\B=\frac{1}{2}(A-PH)[/tex]

The formula, when solved for B is, [tex]\frac{1}{2}(A-PH)[/tex].

Keywords: subtraction, division

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Final answer:

To solve for B in the formula A=PH+2B, subtract PH from A and then divide by 2, resulting in B = (A - PH) / 2.

Explanation:

The student is asking to solve for B from the surface area formula of a rectangular prism, given by A=PH+2B, where A is the surface area, P is the perimeter of the base, H is the height of the prism, and B is the area of the base.

To solve for B, we'll rearrange the formula as follows:

First, we subtract the term PH from both sides of the equation, which gives us A - PH = 2B.

Then, we divide both sides by 2 to isolate B, resulting in B = (A - PH) / 2.

This process reveals that the base area B can be found by taking the total surface area A, subtracting the product of the perimeter of the base and the height, and then dividing by 2.

Answer:

The simplified expression is y raised to the 2/8 power

Step-by-step explanation:

Let's recall that one of the properties of fractional exponents is:

x ^ a/b = ᵇ√x ᵃ

​​ therefore,

⁸√y² = y ^2/8

The simplified expression is y raised to the 2/8 power

​

​​

x=50 and y=10

because of vertical angles: 3y=x-20

and we also have 3y+5x-100=180 , if we simplify we get 3y=280-5x

we can combine the two equations and get x-20=280-5x and when we solve we get x=50 degrees

then we can plug that into the first equation and get 3y=30, and y=10 degrees

Answer:

x = 50°

y = 10°

Step-by-step explanation:

The vertical angles theorem states that angles across from each other must be equal.

This means that:

3y = x - 20°    or    x = 3y + 20°

5x - 100° = y + 140°

Start with the second equation

5x - 100° = y + 140°

Add 100° to both sides of the equation

5x = y + 240°

Now, substitute the value of x found at the beginning into this equation

5(3y + 20°) = y + 240°

Multiply

15y + 100° = y + 240°

Subtract 100° from both sides of the equation

15y = y + 140°

Subtract y from both sides of the equation

14y = 140°

y = 10°

x = 3y + 20 = 3(10) + 20 = 30 + 20 = 50°

Hope this helps :)

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The fraction of bran muffins is expressed as bran muffins over total muffins.

Total muffins = 6 + 2 + 4 = 12 and bran muffins = 4, thus

fraction = [tex]\frac{4}{12}[/tex] ← divide ( cancel ) each value by 4 )

fraction = [tex]\frac{1}{3}[/tex] ← in simplest form

Answer:

1/3

Step-by-step explanation:

4 bran muffins out of 12 muffins in total.

4/12

4 ÷ 4 / 12 ÷ 4

1 / 3

Answer:0.03

Step-by-step explanation:I typed in a calculator.

The sum of the distances of R to Q and P to Q is 9 units.

Solution:

Given points are P(–3, 6), Q(3, 6) and R(3, 3).

Distance between two points formula:

   [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance from R to Q:

Here [tex]x_1=3, y_1=3, x_2=3, y_2=6[/tex]

Substitute these in the given formula, we get

Distance = [tex]\sqrt{(3-3)^2+(6-3)^2}[/tex]  

               [tex]=\sqrt{0+9}[/tex]

               = 3 units

Distance from R to Q is 3 units.

Distance from P to Q:

Here [tex]x_1=-3, y_1=6, x_2=3, y_2=6[/tex]

Substitute these in the given formula, we get

Distance = [tex]\sqrt{(3-(-3))^2+(6-6)^2}[/tex]  

               [tex]=\sqrt{36+0}[/tex]

               = 6 units

Distance from P to Q is 6 units.

Sum of the distances = 3 + 6 = 9 units

Hence the sum of the distances of R to Q and P to Q is 9 units.

Answer:

A, B, and D

Step-by-step explanation:

To subtract like terms, you're supposed to subtract the coefficients, so Option 1 is correct. The statement like terms are terms that contain the same variable, raised to the same power, is true, so Option 2 is correct. The simplified expression is -4 - 3y + 3z, so Option 3 is wrong and Option 4 is correct. Option 5, -(-x) = -x is wrong, so Option 5 is not correct. Therefore, the answers are Options 1, 2, and 4 (or A, B, and D).

Hope this helps! I got it right on Edgen.

Answer:

a b d

Step-by-step explanation:

Answer:

Step-by-step explanation:

3^-8 × 3^4

Following the indices rule

a^y × a^z = a^(y+z)

:- = 3^(-8+4)

= 3^-4

= 1/3⁴

= 1/81

[tex]\boxed{k=4}[/tex]

We know that the slope of a line is given by:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ Where: \\ \\ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ are \ points \ that \ lie \ on \ the \ line \\ \\ \\ Here: \\ \\ (x_{1},y_{1})=(-2,k) \\ \\ (x_{2},y_{2})=(2,0) \\ \\ m=-1 \\ \\ \\ -1=\frac{0-k}{2-(-2)} \\ \\ -1=\frac{-k}{4} \\ \\ -k=4(-1) \\ \\ \boxed{k=4}[/tex]

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9)

- 12xy/7x⁴ × 21x⁵y²/4y = - 9x²y²

10)

- 3x⁵/x¹³ × 2x¹⁰y/15y² = -2x²/5y

11)

4xy¹¹/x⁷y⁶ × 6x⁸y/8x³ = 3y⁶/x

12)

y¹⁰/2x³ × 20x¹⁴/xy⁶ = 10x¹⁰y⁴

13)

5x⁻²/3x × 2y³/x¹⁰ = 10y³/3x¹³

14)

(5xy/8x⁻¹y²)² × 26y³/5x²y⁵ =

= 25x⁴/64y² × 26/5x²y²

= 65x²/32y⁴

Answer:

I have two ideas on how to solve the question for anyone that befit you you choose I hope it helps

but I prefer the second one.

Kris walks a total of 7 miles over the course of 8 days by multiplying the daily walking distance of 7/8 mile by 8 days.

To calculate the total distance Kris walks in 8 days, where she walks 7/8 mile each day, we need to perform a multiplication of the daily distance by the number of days.

The calculation will be:

This is because each 7/8 gets multiplied by 8, effectively cancelling out the denominator of 8, resulting in 7 whole miles.

Therefore, Kris walks a total of 7 miles over the course of 8 days.

Answer:

x+x +1+2= y

Step-by-step explanation:

Answer:

System:

Explanation:

Rewrite the question to delete the typos:

1. Name your variables:

2. Translate each verbal statement into an algebraic expression:

a) Lindsay is 5 years younger than Mark

b) Seven years ago, the sum of their ages was 31

                       L + M - 14 = 31

                       L + M = 31 + 14

                       L + M = 45 ← second equation

3. Write the two equations:

System:

The system of equations representing Lindsay being 5 years younger than Mark, and the sum of their ages seven years ago being 31, are: I = m - 5 and I + m = 45.

To represent this situation, we can set up the following system of equations:

Let's simplify the second equation:

I - 7 + m - 7 = 31, simplifies to:

I + m - 14 = 31, then:

I + m = 45

So, the system of equations representing this situation is:

Answer:

Step-by-step explanation:

a. 5 x (c) = -35

Divide each side by 5, which is equal to -6. Remember, two negatives make a positive and one negative and one positive makes a negative.

c. 16/(x) = -4

What times what is equal to a positive 16? To solve, multiply x on both sides of the equation to get 16 = -4x then divide -4 on both sides. You'll get the answer -4. 16/-4 = -4.

e. x/(-3)= -9

Like c, multiply both sides by the denominator, so -3. You'll get x by itself for an equation like x = -9 x -3. Then multiply, remember two negatives equal a positive, so x = 27. 27/-3 = -9.

g. -5000 x y = -10,000

Divide -5000 on both sides to get the equation y = -10,000/-5000. Then solve. y= 2. -5000 x 2 = -10,000.

i. 243/x = -81

Mutiply both sides of the equation by x, so x cancels out. You'll end up getting the equation 243= -81x. Then divide both sides of the equation by -81. Now that we have 1 positive and 1 negative we know our answer has to be negative. The equation should look like 243/-81 = x, which is equal to x=-3. Thus, the answer is 243/(-3)= -81.

k. -92 x y= 184

Divide both sides by -92 to get x by itself. Then you'll get the equation y= 184/-92. y= -2 so, -92 x -2 = 184.

Answer:

0.5 gjhnvbbbvsadasbkkkhhcccf ggghj g

The probability that we will get a lead role, given that we are chosen to be in the play is 0.5.

Probability is the ratio that shows the likelihood of an event occurring from a given set of possible events.

We can find the required probability below:

The probability that we will be chosen for the play is 0.5.

The probability that we will get the lead role is 0.2.

In this situation, the probability can be found by adding the probability of being chosen and the probability that we will get the lead role.

The probability that we get a lead role, = The probability that we will be chosen for the play + The probability that we will get the lead role

= 0.5 + 0.2

= 0.7

The probability of us getting a lead role given that we have already been chosen for the play is found to be 0.7. The correct answer is option D.

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Answer:

Its B i just got it right

Step-by-step explanation:

The distribution of earnings for wage earners is more symmetric than the distribution of earnings for the self-employed.

IQR stands for Interquartile Range, which is a measure of variability or spread in a set of data. It is calculated by finding the difference between the first quartile (Q1) and the third quartile (Q3) of a data set.

Without the table, it is difficult to provide a definitive answer. However, based on the information given, we can make some general observations:

a) It is possible that the mean earnings of the self-employed are higher than the mean earnings of the wage earners, but this cannot be determined from the information given.

b) It is also impossible to determine which distribution is more symmetric without further information.

c) The statement about the IQRs is also impossible to verify without more information.

d) It is unlikely that the standard deviations of the distributions are equal, as the earnings of self-employed individuals are typically more variable than those of wage earners. However, this also cannot be determined without more information.

Thus, the correct statement can be The distribution of earnings for wage earners is more symmetric than the distribution of earnings for the self-employed.

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Answer:

-10

Step-by-step explanation:

multiply by the reciprocal

-4÷5/2

reduce the numbers with greatest common factor 2

-2 x 5

multiply the numbers

-10

Answer:

  none of the above

Step-by-step explanation:

The attached graph shows the closest candidate—the equation with vertex (0, 5) that opens upward. However, it needs vertical scaling to make it go through the given points.

  y = (1/8)x^2 +5

Answer:

y = 75°, and I'm pretty sure this sheet is incorrect

Step-by-step explanation:

The interior angles of a triangle always add up to 180, and in an equilateral triangle, all 3 angles are congruent. (180/3 = 60)

[tex]m\angle A= 60\textdegree= 6x[/tex]

Therefore, [tex]x=10\textdegree[/tex]

[tex]\triangle DAE[/tex] is an isosceles triangle, as [tex]\angle B[/tex] [tex]\cong[/tex] [tex]\angle C[/tex], the sides opposite to them are also congruent; [tex]\overline{\rm AE}\cong\overline{\rm AD}[/tex] and in turn, [tex]m\angle ADE \cong m\angle AED: m\angle ADE = m\angle AED = y[/tex]

If [tex]m\angle DAE = 3x = 30\textdegree[/tex], then [tex]y = (180-30)/2 =150 /2 = 75\textdegree[/tex]

Answer:

x= -2 and y= 3

Step-by-step explanation:

since x = 2y -8, substitute this in the first equation

Thus, -3(2y-8) + 2y =12

-6y+24+2y=12

-6y+2y=12-24

-4y=-12

y=3

put the value of y in the second equation,

x=2y-8

x=2(3)-8

x=6-8

x=-2

So, x=-2. y=3

Answer:

  (x, y) = (-2, 3)

Step-by-step explanation:

You want the solution to the system of equations ...

Using the second equation, we can add 8 to get an expression for 2y:

  x +8 = 2y

Substituting this into the first equation gives ...

  -3x +(x +8) = 12

  -2x = 4 . . . . . . . . . simplify, subtract 8

  x = -2 . . . . . . . . divide by -2

  -2 +8 = 2y . . . . substitute for x in the rearranged equation 2

  y = 6/2 = 3 . . . . . . simplify, divide by 2

The solution is (x, y) = (-2, 3).