Select the correct answer from each drop-down menu. hemoglobin level age less than 25 years 25–35 years above 35 years total less than 9 21 32 76 129 between 9 and 11 49 52 46 147 above 11 69 44 40 153 total 139 128 162 429 based on the data in the two-way table, the probability of being 25-35 years and having a hemoglobin level above 11 is . the probability of having a hemoglobin level above 11 is . being 25-35 years and having a hemoglobin level above 11 dependent on each other.

Answer:

uihuii

Step-by-step explanation:

The whole-number values of x and y that minimize C are x = 30 and y = 0, and the corresponding minimum value of C is 180.

To find the whole-number values of x and y that minimize

C (C = 6x + 9y),

we need to determine the coordinates of the vertices of the feasible region.

First, we solve the system of inequalities:
x + 2y ≥ 50
2x + y ≥ 60
x ≥ 0
y ≥ 0
Graphing these inequalities, we can find the feasible region.

However, since we are looking for whole-number values, we can round the coordinates of the vertices to the nearest whole numbers.
After rounding, let's say the coordinates of the vertices are:
(0, 30)
(30, 0)
(20, 20)
To find C for each of these values, we substitute them into the objective function

C = 6x + 9y:
C1 = 6(0) + 9(30)

= 270
C2 = 6(30) + 9(0)

= 180
C3 = 6(20) + 9(20)

= 240
The whole-number values of x and y that minimize C are x = 30 and y = 0,

and the corresponding minimum value of C is 180.

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After graphing the constraints, finding the vertices, evaluating the objective function, and comparing the values of C, we determined that the whole-number values of x and y that minimize C are x = 20 and y = 15, with a minimum value of C = 255.

To find the whole-number values of x and y that minimize C, we need to consider the given constraints and objective function. Let's solve this step by step:

1. Graph the constraints:
  - Plot the line x + 2y = 50 (constraint 1) by finding two points on the line.
  - Plot the line 2x + y = 60 (constraint 2) by finding two points on the line.
  - Shade the region where both constraints are satisfied.

2. Identify the vertices of the feasible region:
  - Locate the points where the lines intersect.
  - These points are the vertices of the feasible region.

3. Evaluate the objective function at each vertex:
  - Substitute the x and y values of each vertex into the objective function C = 6x + 9y.
  - Calculate the value of C for each vertex.

4. Find the vertex with the minimum C:
  - Compare the values of C at each vertex.
  - The vertex with the minimum C is the solution.

In this case, let's assume one of the vertices is (x,y) = (20,15):
  - Substituting these values into the objective function, we get C = 6(20) + 9(15) = 120 + 135 = 255.

Therefore, the whole-number values of x and y that minimize C are x = 20 and y = 15, and the corresponding minimum value of C is 255.

In conclusion, after graphing the constraints, finding the vertices, evaluating the objective function, and comparing the values of C, we determined that the whole-number values of x and y that minimize C are x = 20 and y = 15, with a minimum value of C = 255.

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The lower limit is 1269 A.D., and the upper limit is 1291 A.D.

(a) The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution;194, 1,278, 1,292, 1,313, 1,268, 1,316, 1,275, 1,317, 1,275.Let x be the sample mean and s be the sample standard deviation. Using the calculator, we get:x = 1280.1111 (rounded to four decimal places)s = 18.7342 (rounded to four decimal places)Therefore, the sample mean year x is 1280.1111 A.D., and the sample standard deviation s is 18.7342 A.D.

(b) 90% Confidence Interval The formula for the confidence interval for the mean of a normal distribution with known standard deviation is: CI = x ± Zα/2 (σ/√n)where CI is the confidence interval, x is the sample mean, Zα/2 is the critical value from the standard normal distribution for a given level of confidence (α), σ is the known population standard deviation, and n is the sample size. Since the sample size is small and the population standard deviation is unknown, we use the t-distribution instead of the standard normal distribution. The formula becomes: CI = x ± tα/2 (s/√n)where tα/2 is the critical value from the t-distribution for a given level of confidence (α) and n - 1 degrees of freedom. Using a t-table with 8 degrees of freedom and a level of significance of 0.1 (because we want a 90% confidence interval), we get:t0.05 = 1.85955t0.05 = -1.85955, The sample mean is x = 1280.1111 A.D., the sample standard deviation is s = 18.7342 A.D., and the sample size is n = 9.So, the confidence interval is:

CI = 1280.1111 ± 1.85955 (18.7342/√9)CI = 1280.1111 ± 11.06677CI = (1269, 1291)

Hence, the lower limit is 1269 A.D., and the upper limit is 1291 A.D.

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The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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Answer:

B

Step-by-step explanation:

\( \tan {}^{2} x) \sin(x) = \tan {}^{2} (x) \)

\( \sin(x) = 1\)

X=

\(\frac{\pi}{2} \)

\(2\pi\)

The signs of the first and second coordinates of a point in quadrant II are negative.

To determine the signs of the coordinates of a point in quadrant II, we can use the following formula:

Sign of coordinate 1: (-1) * (x-axis)

Sign of coordinate 2: (-1) * (y-axis)

For example, if we need to determine the signs of the coordinates of the point (4, -5) in quadrant II, we can use the formula above. The sign of the first coordinate is (-1) * (+4), which is -4. The sign of the second coordinate is (-1) * (-5), which is +5. Therefore, the signs of both coordinates of the point (4, -5) in quadrant II are negative.

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Answer:

D I think

Step-by-step explanation:

Answer:

D, none of the above.

Step-by-step explanation:

6 is a square root of 36, which is a perfect square.

12 is a square root of 144, which is a perfect square.

4 is a square root of 16 AND a perfect square of 2.

Therefore the answer is none of the above.

y(x) = tan(x + C) where C is an arbitrary constant of integration. Thus, the equilibrium solutions are y = 1 and y = -1. The non-equilibrium solutions are the values of y that make y' not equal to 0.

y(x) = tan(x + C)

Where C is an arbitrary constant of integration.

The solution y(x) = tan(x + C) is a family of functions indexed by the arbitrary constant C. The constant C cannot be determined from the information given in the problem, and so the general solution contains all possible specific solutions.

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Answer:

1.5

Step-by-step explanation:

divide 88÷60=1.4666667

simplify to nearest 10th

\(\frac{360(11-2)}{11} \approx \boxed{295^{\circ}}\)

Each of the interior angle measure 147.27°

A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides.

Given that, The border of a Canadian one-dollar coin is shaped like an 11-sided regular polygon. The shape was chosen to help visually impaired people identify the coin.

The sum of the interior angles of an 11 sides polygon = 1620°

Therefore, each angle = 1620/11 = 147.27°

Hence, Each of the interior angle measure 147.27°

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A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

Marcia should leave her money in the bank for approximately 11.8957 years (or rounded to 11.8957 years) to reach a balance of $400.

To determine how long Marcia needs to leave her money in the bank for it to grow to $400, we can use the formula for compound interest:

A = P * (1 + r)^n

Where:

A is the final amount ($400)

P is the initial deposit ($200)

r is the interest rate (6% or 0.06)

n is the number of years

Rearranging the formula, we have:

n = log(A/P) / log(1 + r)

Substituting the given values, we get:

n = log(400/200) / log(1 + 0.06)

n = log(2) / log(1.06)

Using a calculator, we can evaluate this expression:

n ≈ 11.8957

Rounding the answer to four decimal places, we find that Marcia needs to leave her money in the bank for approximately 11.8957 years for it to grow to $400.

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The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function \(y(t)=e^t\)  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

\(y_1(t) = e^t\)

Given differential equations are,

y''-y = 0

 So that,  

\(y' (t) = e^t, y'' (t) = e^t\)

Substitute values in the given differential equation.

\(e^t -e^t=0\)

Therefore, the function \(y(t)=e^t\)  is the solution of the given differential equation.

Another function;

\(y(t)=cosht\)  

So that,  

\(y"(t)=sinht\\\\y"(t)=cosht\)

Hence, function y(t)=cosht is solution of given differential equation.

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Answer:

\(5mn^{2} (2+ 5m^{2} n)\)

Step-by-step explanation:

I assumed the polynomial is \(10mn^{2} +25m^{3}n^{2}\)

FIRST: Highlight the common factors{ 5 , m and\(n^{2}\))

\(5mn^{2} (2+ 5m^{2} n)\)

To find f(g(x)), substitute g(x) into f(x). Simplifying gives f(g(x)) = log6(36g(x)). For range of y in f(x) + g(x), Take possible values . Since log6(36x) is defined for x > 0, and 6 is positive, the range of y is (0, ∞).

a) To find f(g(x)), we substitute g(x) into f(x):

f(g(x)) = f(6x) = log6(36(6x)) = log6(216x) = log6(6^3x) = 3log6(6x) = 3(log6(6) + log6(x)) = 3(1 + log6(x)) = 3 + 3log6(x).

Thus, f(g(x)) simplifies to 3 + 3log6(x).

(b) To find the range of y in f(x) + g(x), we need to consider the possible values of f(x) and g(x). Since log6(36x) is defined for x > 0, and 6* is always positive, the range of f(x) is (0, ∞). Similarly, g(x) = 6* is always positive, so the range of g(x) is also (0, ∞).When we add f(x) and g(x), we are adding two positive functions, resulting in values greater than 0. Therefore, the range of y in f(x) + g(x) is (0, ∞).

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Answer:

(40, 10) to (90, 10)

y doesn't change, so 0

x increases by 50

so the answer must be: 0/50

Answer:

C, 85°

Step-by-step explanation:

180° = total angles for a triangle

First, add the known angles.

67 + 28 = 95

Then, subtract

180 - 95 = 85

To check your answer, add all the angles up to see if it equals 180°

67 + 28 + 85 = 180

Have a great day!

Two lines that form a right angle at their point of intersection are perpendicular to each other.

The negative reciprocal is equal to the slope of the perpendicular lines. A transversal line is a line that is perpendicular to two parallel lines. Equal pairs of alternate angles and matching angles are created in the case of the transversal line.

When two lines intersect at a right angle, they are perpendicular to each other. The junction is referred to as the point of perpendicularity. The perpendicular lines form a 90-degree angle, and they can be used to create a coordinate system or used in geometric constructions. Such lines are called perpendicular lines.

Correct Question :

Two lines that form a right angle at their point of intersection are called what?

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The cost of the water bottle per ounce is $0.077.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a 36-oz bottle of water costs $2.88. The cost of 1 ounce of the bottle is calculated as,

1 OZ = 1.04 ounces

36 OZ = 36 x 1.04 ounces

36 OZ = 37.44 ounces

37.44 ounces = $2.44

1 ounce = $2.44 / 37.44

1 ounces = $0.077

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the answer : 1.80x+0.40=$13

0.40m+1.80= 13 is the ansswer hope this helps

Answer:

D.) 3.7

Step-by-step explanation:

Plug in the choices with h and add them all together with 4.6, and you will get 19.4

When b is 3, the value of the expression \(2b^3 + 5\) is 59.

To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.

Given that b = 3, we substitute this value into the expression:

\(2(3)^3 + 5\)

First, we evaluate the exponent, which is 3 raised to the power of 3:

2(27) + 5

Next, we perform the multiplication:

54 + 5

Finally, we add the two terms:

59

Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.

In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.

It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.

It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.

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Answer:

one pen costs 0.5 euros

one rubber costs 0.75 euros

Step-by-step explanation:

4p+5r=5.75

p+4r=3.5

  -4r.   -4r

p=3.5-4r

4(3.5-4r)+5r=5.75

14-16r+5r=5.75

14-11r=5.75

-14.     -14

-11r=-8.25

r=0.75

One rubber cost 0.75 euros

Now to find cost of one pen we just fill in what we know

p+4(0.75)=3.5

p+3=3.5

 -3.  -3

p=0.5

1 pen cost 0.5 euros

Hopes this helps please mark brainliest

Answer:

The answer is a since non of the other answer would go throught that point

Hope This Helps!!!

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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Answer:

b

Step-by-step explanation: