batches of a chemical contain random amounts of lead with a mean value of 6.0 mg and a standard deviation of 2.0 mg. if 50 batches are prepared, the probability that their average amount of lead is greater than 6.5 mg is

Answer:

it's 17.04 as u showed in the answer

Step-by-step explanation:

1st u change the mixed no. to improper fraction

2nd u will multiply it by it's resprocal then u will get 17.04

Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

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Answer: 4 1/8

Step-by-step explanation:

1 6/8 + 2 3/8 = 33/8 = 4 1/8

Answer:

4 1/8

Step-by-step explanation:

first turn the fractions into improper fractions...

so 1 6/8 = 14/8

and 2 3/8 = 19/8

then add together.. 14/8+19/8=33/8

change into a mixed number = 4 1/8

or

do 1+2=3

and 6/8+3/8=9/8=1 1/8

and add the two values together... 3+ 1 1/8 = 4 1/8

The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).

This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2

Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.

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The result of the given program AX-0002 can be summarized as follows:
- AX = 0009
- BX = 0006

Now, let's break down the steps of the program to understand how the result is obtained:

1. MOV BX, AX: This instruction moves the value of AX into BX. Since AX has the initial value of 0002, BX now becomes 0002.

2. ASHL BX: This instruction performs an arithmetic shift left operation on the value in BX. Shifting a binary number left by one position is equivalent to multiplying it by 2. So, after the shift, BX becomes 0004.

3. ADD AX, BX: This instruction adds the values of AX and BX together. Since AX is initially 0002 and BX is now 0004, the result is AX = 0006.

4. ASHL BX: Similar to the previous step, this instruction performs an arithmetic shift left on BX. After the shift, BX becomes 0008.

5. INC BX: This instruction increments the value of BX by 1. So, BX becomes 0009.

Therefore, at this point, the result is AX = 0006 and BX = 0009.

It is important to note that the given program does not contain any instructions that assign values to OAX or change the value of OAX and BX directly. Therefore, the final results for OAX and BX remain unchanged, which are OAX = 0006 and BX = 0009, respectively.

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Ted would have amount of  $6525 in savings after 24 months.

According to Ted's current situation,

His earning =  $4500 per month

And  he plans to put $175 in savings every month.

So,

His net income per month = $4500 - $175

                                            = $4325.

Now create an arithmetic sequence for this situation,

Since,

The initial savings of $2500, and add $175 to the total every month.

Therefore,

An arithmetic sequence that models Ted's situation would be:

$2500, $2675, $2850, $3025, ...

Now we have to find how much Ted will have in savings after 12 months,

We know that,

nth term of an arithmetic sequence,

a\(_{n}\) = a₁ + (n - 1)d

Where a\(_{n}\)  is the nth term,

a₁ is the first term,

n is the number of terms,

And d is the common difference between the terms.

In this case, the 12th term of the sequence,

a\(_{12}\) = $2500 + (12 - 1)($175)

a\(_{12}\) = $2500 + $1925

a\(_{12}\) = $4425

Therefore,

Ted would have $4425 in savings after 12 months.

Similarly,

To find out how much Ted will have in savings after 24 months,

Use the same formula and put in n = 24:

a\(_{24}\) = $2500 + (24 - 1)($175)

a\(_{24}\) = $2500 + $4025

a\(_{24}\)  = $6525

Therefore, Ted would have $6525 in savings after 24 months.

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The classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent. The Option B is correct.

We have a consistent independent equation when a system of linear equations has exactly one solution. When this occurs, the graphs of the system's lines cross at exactly one point.

For our question, we can start by rearranging the first equation to isolate y:

\(4x + y = 4\\y = -4x + 4\)

We can see that the second equation is already in the form y = mx + b, where m is the slope and b is the y-intercept. So we can identify that the slope of the second equation is -4 and the y-intercept is 4.

Now we can compare the slopes and y-intercepts of the two equations to determine the classification of the system of equations:

In this case, we can see that the slopes of the two equations are different (-4 and 0) and the y-intercepts are the same (4). Therefore, the system is consistent and there is a unique solution. So the classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent

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25.The correct answer is A. The subject has an extreme criterion.26. The correct answer is B. The criterion is negative.

Question 25:If you know the true underlying sensitivity (d') is 2, but you measure d' as 0, the most reasonable conclusion would be that the subject has an extreme criterion. The criterion refers to the decision threshold used to differentiate between signal and noise. In this case, the subject's criterion is likely set in such a way that they are more conservative or cautious, leading to a reduced sensitivity measure.Therefore, the correct answer is A. The subject has an extreme criterion.

Question 26:When there are more False Alarms than Hits in signal detection, it suggests that the criterion is negative. The criterion represents the decision threshold, and a negative criterion implies a more liberal or lenient approach to categorizing events as a signal. This leads to a higher likelihood of detecting false alarms (incorrectly identifying noise as a signal) while potentially missing some true signals.Hence, the correct answer is B. The criterion is negative.

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The requried, Anna collected "s" shells and her brother collected "2s" shells.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let the number of seashells that Anna collected be represented by the variable "s".

Then, the number of seashells that her brother collected can be represented by twice that amount, or 2s.

We can write the expression as,

Anna's shells = s

Brother's shells = 2s

Therefore, Anna collected "s" shells and her brother collected "2s" shells.

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2/3 is equal to 2 divided by 1/3, which is equal to 2 multiplied by 3. Therefore, the equivalent expression is 2 divided by 1/3 fraction.

The expression 2/3 is equivalent to 2 divided by 1/3. This is because 2/3 can be written as 2 multiplied by 3, which is equal to 6. This can be represented in fraction form as 2 divided by 1/3. To calculate this expression, we need to divide 2 by 1/3, which is equal to 2 multiplied by 3. Therefore, the equivalent expression is 2 divided by 1/3, which is equal to 6. 2/3 is equal to 2 divided by 1/3, which is equal to 2 multiplied by 3. Therefore, the equivalent expression is 2 divided by 1/3.

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Answer:

992.42

Step-by-step explanation:

Answer:

x= -6

Step-by-step explanation:

\(x-3(\frac{2}{3}x+3)=3(\frac{-3}{2}+1)-\frac{3}{2}\\\\x-2x-9=\frac{-9}{2}+3-\frac{3}{2}\\\\clear fraction\\\\2x-4x-18=-9+6-3\\\\-2x-18=-6\\\\-2x=12\\\\x=-6\)

y = x²-2x+1, 2x-y=2 is the system of equations represented by the graph

By examining the graph, you will notice that the straight and the curve meet at (3,4) and (1,0) as indicated. The x values of these points of intersection give the solution of the system. Thus:

We have x = 3 and x = 1

These values can be used to form the equation of the system. Thus:

(x-3)(x-1) = 0         (Clear the parenthesis)

x² -x-3x +3 = 0

x² -4x +3 = 0

Next, we are going to check for the option that gives the x² -4x +3 = 0

Given:  y = x²-2x+1, 2x-y=2

Rewrite 2x-y=2 to be in form y: y =2x-2

We now have  y = x²-2x+1 and  y =2x-2

Equate the two y: x²-2x+1 =2x-2

x²-2x+1 -2x+2 = 0

x²- 4x+ 3 = 0

Since y = x²-2x+1, 2x-y=2 gives the same equation, therefore, the system of equations represented by the graph is y = x²-2x+1, 2x-y=2. So option D is the answer

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Answer:

t = 4

Step-by-step explanation:

you have -8 and twelve you equation is x -12 = -8 so we just have to flip the equation around to make it x = 12 -8 which is easy . You just have to make sure you don't get mixed up while flipping the signs.

The value of t is 4.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The temperature in January = 12 °F

And the low temperature is = -8 °F

The equation of temperature t can be given as

t= high temperature + low temperature

t= 12 - 8

t=4

The value of t is 4.

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Step-by-step explanation:

given,

\(2k \div 3 = 6 \\ 2k \div3 \times 3 = 6 \times 3 \\ 2k = 18 \\ k = 18 \div 2 \\ = 9\)

The simplified expression is given as  x1/2 = x1/2(1) = x

To simplify the given expression, use the properties of exponents.

The given expression is: (x3/5)5/6= x(3/5 * 5/6)= x1/2

Let's use the properties of exponents to simplify the given expression:

Given expression: (x3/5)5/6

To simplify the above expression, use the property of exponents which states that when a power is raised to a power, we multiply the exponents.

In other words, the exponent of the given expression can be rewritten as 3/5 * 5/6 = 3/6 or 1/2.

Now, simplify the given expression. We know that a radical expression of a number is the same as the number raised to the 1/2 power.So, x3/5 = (x3/5)6/6 = x18/30

And hence the simplified expression is:x1/2 = x1/2(1) = x. Thus, (x3/5)5/6= x1/2 = x.

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In CASE 1, the sides of the rectangle are approximately 159.25 inches (5x) and 63.7 inches (2x).

In CASE 2, the sides of the rectangle are approximately 63.7 inches (2x) and 159.25 inches (5x).

In the given problem, we have a right isosceles triangle with a hypotenuse length of 45 inches. Let's consider the two cases separately:

CASE 1:

Let the sides of the rectangle be 5x and 2x. Since the rectangle is inscribed in the right isosceles triangle, the longer side of the rectangle (5x) will be parallel to the hypotenuse of the triangle.

Using the Pythagorean theorem, we can determine the length of the legs of the right isosceles triangle:

leg^2 + leg^2 = hypotenuse^2

x^2 + x^2 = 45^2

2x^2 = 45^2

x^2 = (45^2) / 2

x^2 = 1012.5

x ≈ 31.85

CASE 2:

Let the sides of the rectangle be 2x and 5x. In this case, the shorter side of the rectangle (2x) will be parallel to the hypotenuse of the triangle.

Using the same approach as in CASE 1, we can find:

x^2 + x^2 = 45^2

2x^2 = 45^2

x^2 = (45^2) / 2

x^2 = 1012.5

x ≈ 31.85

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The horizontal distance travelled by the projectile D, is given by

D = v²sin(2θ)/g

Where g is the acceleration due to gravity, θ is the angle of projection and v is the velocity of projection.

Therefore, in the case of

D = v² sin θ cos θ given in the question,

D = v² sin(2θ)/2

In the option list given, the closest to this answer is option (A)

D = v²sin(2θ)/2

Therefore, option A is the correct answer.

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Answer:

c=205

Step-by-step explanation:

the answer is C. Because all your doing is counting how many numbers you see in the parentheses and seeing if it matches the numbers on the graph

The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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The number of potential customers getting a busy signal stays the same. The average flow time experienced by potential customers decreases and the average utilization of customer service representatives decreases.

We will discuss the given questions one by one.

Firstly, we need to tell whether the number of potential customers getting a busy signal increase, decreases, or stays the same.

There are a total of 10 telephone lines in the call center. We know that each customer service representative takes 2 minutes to serve a caller. In a minute, 2 potential customers call. Therefore, in a minute, 5 customer service representatives can serve 5 customers, and the remaining 5 customers will receive a busy signal.

Thus, the number of potential customers getting a busy signal is 5 per minute. After adding one more line, the total number of lines becomes 11. Thus, the number of potential customers getting a busy signal will be the same (i.e., 5 per minute). Therefore, the answer is to stay the same.

Now, we need to tell whether the average flow time experienced by potential customers increases, decreases, or stays the same.

We know that in a minute, 5 customer service representatives can serve 5 customers. The average flow time is 2 minutes. After adding one more line, the total number of lines becomes 11. Now, 6 customers can be served in a minute, and the remaining 4 customers will receive a busy signal.

Thus, the average flow time experienced by potential customers will be 1.5 minutes. Therefore, the answer is that it decreases.

Lastly, we need to tell whether the average utilization of customer service representatives increases, decreases, or stays the same.

The utilization is the time a representative is busy serving a customer divided by the total time. We know that in a minute, 5 customer service representatives can serve 5 customers, and the remaining 5 customers will receive a busy signal.

Thus, the total busy time for the 5 customer service representatives is 5 × 2 = 10 minutes.

Their total time is 5 × 60 = 300 minutes.

Thus, their average utilization is 10/300 = 0.0333.

After adding one more line, 6 customers can be served in a minute, and the remaining 4 customers will receive a busy signal.

Thus, the total busy time for the 5 customer service representatives is 5 × 2 = 10 minutes.

Their total time is 6 × 60 = 360 minutes.

Thus, their average utilization is 10/360 = 0.0278.

Therefore, the answer is a decrease.

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The average cost in dollars per pound of the steaks sold on Tuesday is 9.17 per pound.

First step is to calculate the total cost for steaks

Total cost=400×$9.98 + 120×$6.49

Total cost=$4770.8

Second step is to calculate the total pound

Total pound=400 + 120

Total pound= 520

Third step is to calculate the average cost in dollars

Average cost=$4770.8 / 520

Average cost= 9.174615385

Average cost=9.17 per pound (Approximately)

Inconclusion the average cost in dollars per pound of the steaks sold on Tuesday is 9.17 per pound.

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Answer:

80 oz

Step-by-step explanation:

20 portions times 4 oz is 80 oz

Answer:

- 17

Step-by-step explanation:

Substitute the given values into the expression

2a - 3b

= 2 × \(\frac{1}{2}\) - 3 × 6

= 1 - 18

= - 17

Answer:

I'm sorry if I'm wrong but I believe it's C.

Step-by-step explanation:

d. y = -1/3x + 3

Because it interesting y axes in +3

Answer:

\(x=-1+\sqrt{6 }\)

\(x=-1-\sqrt{6 }\)

Step-by-step explanation:

\(x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}\)

Ignore the A before the ±. It wouldn't let me type it correctly.

x² + 2x - 5 = 0

a = 1

b = 2

c = - 5

\(x=\frac{-2±\sqrt{2^{2}-4((1)(-5)) } }{2(1)}\)

\(x=\frac{-2±\sqrt{4-4((1)(-5)) } }{2(1)}\)

\(x=\frac{-2±\sqrt{4+20 } }{2(1)}\)

\(x=\frac{-2±\sqrt{24 } }{2}\)

\(x=\frac{-2±\sqrt{(2)(12) } }{2}\)

\(x=\frac{-2±\sqrt{(2)(2)(6) } }{2}\)

\(x=\frac{-2±\sqrt{(2)(2)(2)(3) } }{2}\)

\(x=\frac{-2±(\sqrt{2} )(\sqrt{2})(\sqrt{(2)(3) )} }{2}\)

\(x=\frac{-2±2\sqrt{6 } }{2}\)

Two separate equations

\(x=\frac{-2+2\sqrt{6 } }{2}\)

\(x=\frac{-2-2\sqrt{6 } }{2}\)

\(x=-1+\sqrt{6 }\)

\(x=-1-\sqrt{6 }\)

Answer:

531

Step-by-step explanation:

The area of a circle can be determined by the equation: A = πr².

The "r-value" represents the radius, which is half of the diameter. Since the diameter is in cm, the area will have the unit cm².

d = diameter       r = radius       π = 3.14.....       A = area

d / 2 = r

26 / 2 = r

13 cm = r

A = πr²

A = π(13)²

A = 169π

A = 530.929.... cm²

A = 531 cm²

As you can see, the radius was determined to be 13 cm. When you plug that value into the area equation, you get 530.9 cm². Rounding to the nearest whole number would bump the 0 to 1, making the final answer 531 cm².