Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of and a standard deviation of 0.04 ounce. Find the probability that the bottle contains fewer than of beer.

Answer:

Under the first one

Step-by-step explanation:

The expression ⁵√p¹¹ is equivalent to the given expression. The correct answer would be an option (C).

Exponential expressions, as the name indicates, involve exponents. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied.

The exponential expression is given in the question, as follows:

\(p^\frac{11}{5}\)

We have to determine the equivalent expression to the given expression.

As per option (C), we have

⇒ ⁵√p¹¹

The above expression also can be written as:

⇒ \((p^{11})^\frac{1}{5}\)

⇒ \((p^{11})^{\times}{(\frac{1}{5})}\)

⇒ \(p^\frac{11}{5}\)

Hence, we can conclude that the expression ⁵√p¹¹ is equivalent to the given expression.

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Answer:

The first graph shows a slope of 3.

Step-by-step explanation:

If the slope is 3, it's actually 3/1 because of rise/run. So you find any point on the graph that's directly between two lines, like (-1,-5). Since the line is positive, you would go right one and up three. Then you see if that point is directly between two lines. The next point is (0, -2). If you did the same on the second graph, it wouldn't match up.

Step-by-step explanation:

Anna Bought 3 Toys each worth 7$. after the purchase, it is announced that the price of the toys has risen to 12$, and Anna decides to Buy 2 More toys before the price rises again. in total, how much did Anna Spend?

Answer:

is it 20% I'm not really sure

Answer:

$71.74

Step-by-step explanation:

Given:

Old price of the jacket  = $ 80

Discount = 15 %

Therefore, discounted price =

Now, sales tax = 5.5 % on discounted price =

Therefore, the new price of the jacket after discount and paying sales tax is given as:

New price = Discounted price + Sales tax

New price = $ 68 + $ 3.74 = $ 71.74

So, the new price of the jacket is $ 71.74.

Answer:

Option 2

Step-by-step explanation:

Plugging in either 2 or 3 for x will make the denominator 0 and therefore undefined

Answer:

12feet

Step-by-step explanation:

12ft don't trust mt I'm sorry I'm slow that why I'm using brainly. I'm sorry

Answer:

How much pizzas were sold cuz there is no way to solve it without knowing how much she sold

Step-by-step explanation:

Answer:

74.09453421...

Step-by-step explanation:

Pythagorean Theorem

The value of angle a is approximately 36.87°.

We are given that;

Height = 6 and hypotenuse = 10

Now,

To find the angle a in a right triangle, we can use the trigonometric ratios12:

sin(a) = opposite/hypotenuse cos(a) = adjacent/hypotenuse tan(a) = opposite/adjacent

where opposite is the side opposite to the angle a, adjacent is the side next to the angle a, and hypotenuse is the longest side of the right triangle.

we can use the sine ratio to find the angle a:

sin(a) = 6/10 a = sin^-1(6/10) a ≈ 36.87°

Therefore, by Pythagoras theorem the answer will be 36.87°.

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Answer:

x = 13, z = 184

Step-by-step explanation:

(14x-94) = 88

14x = 182

x = 13

z = 360 - 88*2 = 360 - 176 = 184

Answer:

x = 13; z = 92

Step-by-step explanation:

88 = 14x - 94

14x = 182

x = 13

180 = z + 88

z = 92

The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer: is it graph

Step-by-step explanation:

Answer:

for the first equation x=0 or 1

the second equation x=7 and above.

Step-by-step explanation:

The first equation you just need a number that will keep the 2x+6 side less than 10. and the second equation you just need a number that will make the 2x+8 be greater than 20.

The mean of the test is 20.

To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.

Let's denote the mean of the test as μ, and the standard deviation as σ.

We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:

29 = μ + 3σ

Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:

23 = μ + σ

Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.

From the second equation, we can isolate μ:

μ = 23 - σ

Substituting this value into the first equation, we have:

29 = (23 - σ) + 3σ

Simplifying the equation, we get:

29 = 23 + 2σ

2σ = 29 - 23

2σ = 6

σ = 3

Substituting the value of σ back into the second equation, we find:

μ = 23 - 3

μ = 20

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Answer:

a)  zero triangles.

b)  one triangle.

Step-by-step explanation:

In triangle ABC:

Given:

Law of Sines

\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle B:

\(\implies \sf \dfrac{\sin 51^{\circ}}{10}=\dfrac{\sin B}{28}\)

\(\implies \sf \sin B=\dfrac{28\sin 51^{\circ}}{10}\)

\(\implies \sf \sin B=2.176008...\)

As -1 ≤ sin B ≤ 1, there is no solution for angle B.

Therefore, zero triangles are possible.

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

Given:

Law of Sines

\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle A:

\(\implies \sf \dfrac{\sin A}{24}=\dfrac{\sin 30^{\circ}}{12}\)

\(\implies \sf \sin A=\dfrac{24\sin 30^{\circ}}{12}\)

\(\implies \sf \sin A=1\)

\(\implies \sf A=\sin^{-1}(1)\)

\(\implies \sf A=90^{\circ}\)

Therefore, one triangle is possible (see attachment).

Answer:

\( y = \frac{ 2}{ 3} x - 2\)

Step-by-step explanation:

\(2x - 3y = 6 \\ - 3y = - 2x + 6 \\ \\ y = \frac{ - 2}{ - 3} x + \frac{6}{ - 3} \\ \\ \huge \purple{ \boxed{ y = \frac{ 2}{ 3} x - 2}} \\ this \: is \: in \: the \: slope - intercept \: form.\)

Answer:

y = 2/ 3 x − 2

Step-by-step explanation:

slope intercept is y=mx+b

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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Given:

it is given that a graph of the function y = 2(x-15)^2 + 3 is translated to the graph of the function y =2(x - 11)^2 + 3

Find:

we have to choose the correct option for the given translation.

Explanation:

we will draw the graphs of both the functions as following

The graph of the function y = 2(x - 15)^2 + 3 is represented by red colour and the graph of the translated function y = 2(x - 11)^2 + 3 is represented by blue colour in the above graph.

From, the graphs of both functions, it is concluded that the graph of the translated function is shifted 4 units to the left.

From the information provided, according to the table, if the purchase price of a car was less than $20,000, what is the probability that its Trepair costs were less than about 46%.

If a car had total repair costs of less than $10,000, what is the probability that its purchase price was more than $40.000 Express your about 20%.

Probability is a measure of the likelihood of an event happening. It is a numerical value between 0 and 1, where 0 indicates an event is impossible, and 1 indicates an event is certain.

So, calculating the probability of the events above happening in percentage is as follows:

A. 86/ (86+67+35) =

18/188 ≈ 46%.

Therefore, Blank 1 is about 46%

B. 40/(88+71+40) =

40/197 ≈ 20%.

Therefore, Blank 2 is about 20%.

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The average number of students who are afraid of spiders and snakes is 15. (Option C).

To calculate the average number of students who are afraid of spiders and snakes, you need to add the number of students afraid of spiders and the number of students afraid of snakes, and then divide by 2 (since there are two categories being considered: spiders and snakes).

Average = (Number of students afraid of spiders + Number of students afraid of snakes) / 2

Given the information:

Number of students afraid of spiders = 18

Number of students afraid of snakes = a little more than 11 (let's consider 12 for calculation)

Average = (18 + 12) / 2 = 30 / 2 = 15

So, the average number of students who are afraid of spiders and snakes is 15.

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P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Answer:

\(y = \sqrt{ zw/x}\)

Step-by-step explanation:

x/w  = z/y^2

Using cross products

x y^2 = zw

Divide each side by x

x y^2 /x = zw/x

y^2 =zw/x

Take the square root of each side

\(\sqrt{y^2} = \sqrt{ zw/x}\)

\(y = \sqrt{ zw/x}\)

Answer:

The 3.907 is approximate.

====================================

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

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

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

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

Extra info:

Answer:

1/200

Step-by-step explanation:

Stephanie has a 1 out of 200 chance to win the raffle

Answer:

1/200

Tell me if im right

Answer:

75%

Step-by-step explanation:

1. solve 9/12=.75

2. multiply by 100 to get the percentage

Answer:

3π/2; 3π/4

Step-by-step explanation:

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats