an orange juice producer buys oranges from a large orange grove that has one variety of orange. the amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 ounce. suppose that you select a sample of 25 oranges. the probability is 0.77 that the sample mean amount of juice will be greater than what value?

Answer:

2 * 2 * 2 * 2 * 2 * 2, 4 * 16, 8 * 8.

Step-by-step explanation:

To make this easier, let's find the values of all the answers.

2^6 = 64.

So now we compare the values.

6 * 6 * 6 * 6 * 6 * 6 = 46656.

2 * 2 * 2 * 2 * 2 * 2 = 64.

2 * 6 = 12.

4 * 16 = 64.

12 * 12 = 144.

8 * 8 = 64.

Answer:

22222241688

Step-by-step explanation:

I think I think I think

Answer:

K = 4.8

Step-by-step explanation:

Equation Solving

We are given the equation:

F = 95K - 455.67

We are required to find the value of K when F=0:

95K - 455.67 = 0

Adding 455.67:

95K = 455.67

Dividing by 95;

K = 4.8

Let's analyze how much money Diego will have:

In total, Diego will have $ \(3,000+5,000 = 8,000\). Now, we should find out how much money Diego still need. How \(10,600-8,000=2,600\), we conclude that Diego needs earn $2,600.00 to can pay for the first year's tuition.

Answer:

3 days away????

Step-by-step explanation:

To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.

The given function is\(Q = (X*2) + (Y/2) + Z\)

Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3

From the truth table above, we can see that the sum of Q for all eight input combinations is 12.

To find the carry, we will need to determine the maximum output value for the given function.

We can observe that the highest output value is 3.5.

Therefore, there is no carry for this function since the highest output value is less than four.

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Answer:

27

Step-by-step explanation:

I broke the figure up into 3 rectangles.

5x2 = 10

2x3 = 6

4x5 = 20

This adds to 36.  Then subtract out the green square of 9

36 - 9 = 27

Answer:   \(\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right]\)

Step-by-step explanation:

A magic cube is something like:

\(\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]\)

Where the numbers that we must use are:

1, 3, 5, 7, 9, 11, 13, 15, 17

If we take the addition of those 9 numbers, we get 81.

Now, we divide it by 3 (the number of numbers in each row or column) and get:

81/3 = 27

so the sum in each row, column and diagonal must be 27.

1 + 9 + 17 = 27

13 + 11 + 3 = 27

5 + 7 + 15 = 27

9 + 13 + 5 = 27

You can keep playing with this, and then start forming our number cube, some of the hints tat we can use is that the median of the group is 9, so it must be in the middle of the cuve, and the extremes, 1 and 17, must be in the same column or row as 9.

so we start with:

\(\left[\begin{array}{ccc}x&x&x\\1&9&17\\x&x&x\end{array}\right]\)

and start to fill the empty spaces, now we can use that

1 + 11 + 15 = 27 and get:

\(\left[\begin{array}{ccc}11&x&x\\1&9&17\\15&x&x\end{array}\right]\)

now for the diagonals:

11 + 9 + 7 = 27

15 + 9 + 3 = 27

\(\left[\begin{array}{ccc}11&x&3\\1&9&17\\15&x&7\end{array}\right]\)

and for the last one:

11 + 3 + 13 = 27

15 + 7 + 5 = 27

\(\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right]\)

The volume of the right prism is the product of the length, width and height

The height of the prism is 7.40 ft

The given parameters are:

Volume = 214.5 ft cube

Length = 5 ft

Width = 5.8 ft

The volume of the right prism is calculated as:

Volume = Length * Width * Height

So, we have:

214.5 = 5 * 5.8 * Height

Evaluate the product

214.5 = 29 * Height

Divide both sides by 29

7.40 = Height

Rewrite as:

Height = 7.40

Hence, the height of the prism is 7.40 ft

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Answer:

6.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

I hope this is what you need

you could do 5.74+5 or you could do 10+ .74

or you could do 5.70+5.4

The area of the trapezoid-shaped window in Eliana's house is: 14 sq. ft.

Area of Trapezoid

Area of Trapezoid = 1/2(b1 + b2) × h

Given the dimensions of trapezoid-shaped window as:

Height (h) = 4 feet

Bases = 3 feet and 4 feet.

Therefore:

Area of Trapezoid = 1/2(3 + 4) × 4

Area = 14 sq. ft.

Therefore, the area of the trapezoid-shaped window in Eliana's house is: 14 sq. ft.

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Answer:

D

Step-by-step explanation:

H77777777

Answer:

48%

Step-by-step explanation:

If the coin is flipped 250 times, and lands on tails 120 times, set this up as a fraction. Put 250 on the bottom, and 120 on the top (because you want to know percentage of tails for 250 coin flips) to get 120/250. This is 0.48, to turn this into a percentage multiply by 100, 48%. You can check this answer by taking 0.48(250) and you will get 120.

Answer:

Hope this helps you look it once.

Answer:

(x-2)²+(y+1)²=16

Step-by-step explanation:

r = 4 units

center Point => (2,-1)

the equation :

(x-2)²+(y+1)²=4² or

(x-2)²+(y+1)²=16

Answer: the answer to your question is $57.75

Step-by-step explanation: so first you have to realize that if you have something that is 35 percent off then you have .65 of that thing so you multiply 35 by .65 then you get 22.75 then you add that to 35 for your answer.

Answer:

y=-4x+2

hope this helped

Answer:

x is 25

Hope it helps.....

There are several methods for factoring expressions, including factoring out the greatest common factor (GCF), by grouping, using the difference of squares or sum/difference of cubes, using the FOIL method or the reverse FOIL method or using special cases such as perfect square trinomials or difference of squares.

Factoring out the GCF: This method involves finding the greatest common factor of all the terms in an expression and then dividing it out of each term. For example, if we have the expression 12x^2 + 8x^2, the GCF is 4x^2, so we can factor it out and write the expression as 4x^2(3 + 2).

Factoring by grouping: This method involves grouping the terms of an expression into pairs and factoring out a common factor. For example, if we have the expression x^2 + 3x + 2x + 6, we can group the first two terms and the last two terms and factor out a common factor of x from the first group and 2 from the second group. This gives us x(x + 3) + 2(x + 3)

Factoring quadratics: There are a few methods to factor quadratics, such as factoring a difference of squares, or factoring a sum or difference of cubes. For example, if we have the expression x^2 - y^2, we can factor it as (x-y)(x+y) using difference of squares.

Factoring trinomials: There are a few methods to factor trinomials, such as FOIL method or reverse FOIL method. The FOIL method is a mnemonic acronym for first, outer, inner, and last, which is used to multiply two binomials. Reverse FOIL is used to factor a trinomial that is the product of two binomials. For example, if we have the expression x^2 + 5x + 6, we can factor it as (x+2)(x+3) using reverse FOIL method.

Factoring special cases: There are some special cases of factoring that have specific methods. For example, factoring perfect square trinomials such as x^2 + 2x + 1 is factored as (x+1)^2 and factoring difference of squares such as x^2 - y^2 is factored as (x-y)(x+y)

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Answer:

19 or 17

Step-by-step explanation:

Keandra travelled a total distance of 204.2 miles on her trip

Distance between Cincinnati and Dayton = 54 miles

Distance between Dayton and Toledo = 150.2 miles

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language (e.g. "two counties over"). For instance: - My office and house are 3 kilometres apart.

Total distance travelled by Keandra from Cincinnati to Toledo = Distance between Cincinnati and Dayton + Distance between Dayton and Toledo

= 54 + 150.2

= 204.2 miles

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Answer:

11

Step-by-step explanation:

there are 11 spaces between the points

just count the number of spaces, no calculations needed.

Robert's rowing rate in still water is 8 miles per hour, and the speed of the current is 2 miles per hour.

Let's start by assuming that the rate of the current is c, and Robert's rowing rate in still water is r. As a result, the following equation can be used to determine the rate of travel downstream:24 = (r + c) × 3

This equation can be simplified by dividing both sides by 3 and then subtracting c from both sides, giving:8 - c = r

Then, to figure out Robert's speed upstream, we'll use the following equation:2r - 4c = 24

Multiplying the first equation by 2 and then subtracting it from the second equation yields:

2r - 4c

= 24 - 2r - 2c-4c

= -3r + 12-3r = -4c + 12

Dividing both sides by -3, we obtain

:r = (4c - 12)/3Substituting this into the first equation:

24 = (4c - 12)/3 + cMultiplying both sides by 3 and then simplifying:

72 = 4c - 12 + 3c7c

= 84c = 12Therefore, the rate of the current is 2 miles per hour, and Robert's rowing rate in still water is 8 miles per hour.

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the probability that a player of the lottery wins the prize for correctly choosing five numbers out of six is approximately 0.0000531 or 0.00531%.

To calculate the probability of winning the prize for correctly choosing five numbers out of six in a lottery, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

The range is 1 to 40, inclusive, and we need to choose 6 numbers. So the total number of possible outcomes is given by the combination formula:

nCr = n! / (r!(n-r)!)

where n is the total number of items (40 in this case) and r is the number of items we want to choose (6 in this case).

Total number of outcomes = 40C6 = 40! / (6!(40-6)!) = 3,838,380

Number of favorable outcomes:

To win the prize, we need to choose exactly 5 numbers correctly out of the 6 chosen at random. The remaining number will be incorrect. We can choose 5 numbers out of 6 in 6C5 ways, and the remaining number can be any of the 34 incorrect numbers.

Number of favorable outcomes = (6C5) * 34 = 6 * 34 = 204

Now we can calculate the probability:

Probability = Number of favorable outcomes / Total number of outcomes = 204 / 3,838,380 ≈ 0.0000531

Therefore, the probability that a player of the lottery wins the prize for correctly choosing five numbers out of six is approximately 0.0000531 or 0.00531%.

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Answer:

m∠WZX = 41°

Step-by-step explanation:

diagonals bisect angles and opposite angles are congruent

therefore, ∠WXY ≅ ∠WZY

∠WZY must equal [360 - 2(68)] ÷ 2 which equals 112°

If ∠WXZ = 71° then so does ∠XZY

Which means that ∠WZX must equal 112-71 which is 41°

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

Explanation:

Refer to the diagram below. I've marked up the figure with various angles to point out the angles we'll be working with.

To make things a bit simpler in terms of notation, and to match up colors with variable letters, I'm going to use the following

Notice how the two red angles I've marked up are alternate interior angles. This works because WX is parallel to ZY. Also notice that the red and blue angles combine to form the angle WZY, which is adjacent to angle XYZ in green.

For any parallelogram, the adjacent angles always add to 180.

(angle WZY) + (angle XYZ) = 180

(blueAngle+redAngle) + (greenAngle) = 180

(B+R) + (G) = 180

(B+71) + (68) = 180

B+139 = 180

B = 180-139

B = 41

The blue angle is 41 degrees, which means angle WZX is 41 degrees

Side note: Your steps and answer to problem 11 are correct. Nice work.

a) A pulse of width 2 units, starting at t=5 and ending at t=7.

b) A sum of two pulses of width 1 unit each, one starting at t=5 and the other starting at t=7.

c) A ramp starting at t=2 and ending at t=4.

Part 2

a) A rectangular pulse of height 1, starting at t=5 and ending at t=7.

b) Two rectangular pulses of height 1, one starting at t=5 and the other starting at t=7, with a gap of 2 units between them.

c) A straight line starting at (2,0) and ending at (4,2).

In part 1, we are given three signals and asked to identify their characteristics. The first signal is a pulse of width 2 units, which means it has a duration of 2 units and starts at t=5 and ends at t=7. The second signal is a sum of two pulses of width 1 unit each, which means it has two parts, each with a duration of 1 unit, and one starts at t=5 while the other starts at t=7. The third signal is a ramp starting at t=2 and ending at t=4, which means its amplitude increases linearly from 0 to 1 over a duration of 2 units.

In part 2, we are asked to sketch the signals. The first signal can be sketched as a rectangular pulse of height 1, starting at t=5 and ending at t=7. The second signal can be sketched as two rectangular pulses of height 1, one starting at t=5 and the other starting at t=7, with a gap of 2 units between them. The third signal can be sketched as a straight line starting at (2,0) and ending at (4,2), which means its amplitude increases linearly from 0 to 2 over a duration of 2 units. It is important to note that the height or amplitude of the signals in part 2 corresponds to the value of the signal in part 1 at that particular time.

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Answer:

19,188

Step-by-step explanation:

hope this helps ;)

The distance between the points is 5√2 units.

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates,

Given here: The co-ordinates of two points  A(-4,5), B(1,0)

Distance can be calculated using the formula derived from Pythagoras theorem. In coordinate geometry, the distance formula is √[(x₂ – x₁)^2 + (y₂– y₁)^2].

Where (x₁,y₁), (x₂,y₂) are the points on the plane.

Thus we have

\(d = \sqrt {\left( {-4 - 1 } \right)^2 + \left( {5 - 0 } \right)^2 }\)

d=√50

d=5√2

Hence, The distance between the points is 5√2 units.

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Given:

\(m\angle B=90^\circ, m\angle D=90^\circ, AB=6, BD=4, BC=2, DE=x\).

To find:

The value of x.

Solution:

In triangles ABC and ADE,

\(\angle B\cong \angle D\)              (Right angles)

\(\angle A\cong \angle A\)              (Common angles)

\(\Delta ABC\sim \Delta ADE\)              (AA property of similarity)

We know that the corresponding sides of similar triangles are proportional. So,

\(\dfrac{AB}{AD}=\dfrac{BC}{DE}\)

\(\dfrac{6}{(6+4)}=\dfrac{2}{x}\)

\(\dfrac{6}{10}=\dfrac{2}{x}\)

\(\dfrac{3}{5}=\dfrac{2}{x}\)

On cross multiplication, we get

\(3\times x=5\times 2\)

\(3x=10\)

\(x=\dfrac{10}{3}\)

Therefore, the value of x is \(\dfrac{10}{3}\) units.

16.  Valid

Reason: congruency can be represented by the symbol ≅ hence  the statement still reads <1 and <2 are congruent.

17. Invalid

Reason: A rectangle also has four right angles, It is only a square when all the sides are equal.

18. Valid

Reason: congruency can be represented by the symbol ≅ hence the statement still reads <JKM and <MKL are congruent.

19. Valid

Reason: The conclusion of the battery dying is in support with the premise given which is, leaving the light on when the car is off.

20.Valid

Reason: The conclusion, Dante obtained a part time job is in line with the premise that obtaining a pert time job, is a way to afford a car payment

21. Valid

Reason: The premise which has that selling 75% of the prom tickets will make the prom hold at country club is fulfilled, hence the prom will be held at the country club

An argument is valid when the premises or conditions of the argument are all true. When the conclusion supports the premises then conclusion is valid.

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Answer:

  $102

Step-by-step explanation:

The pay for the day of work is the total of morning hours worked and afternoon hours worked. In each case, the hours worked is the difference between the "Out" time and the "In" time.

  morning hours = 12:15 -8:15 = 4:00

  afternoon hours = 17:30 -13:00 = 4:30

  total hours worked = morning hours + afternoon hours

  total hours worked = 4:00 +4:30 = 8:30

This notation tells you (hours):(minutes). You know that 30 minutes is 1/2 hour, so the total time worked is 8 1/2 hours.

The pay is the product of the hours worked and the pay per hour:

  pay = (8 1/2 hours) × ($12 /hour) = $102