Given that lim n-(x-5)" converges by the Ratio test. If xe Z then the numerical 00 value of x is equal to

The probability that three of the children have sickle cell anemia and three of the children are healthy 13.2%.

Sickle cell anemia is an autosomal recessive condition, the trait is only visible in the homozygous state.

The parents are heterozygous( Aa × Aa), and the progeny (AA, Aa, Aa, and aa) have a normal probability of 3/4 and an affected probability of 1/4.

The binomial theorem can be used to calculate the probability of a normal and affected child:

Probability =  n! / x! ( n! - x!) × pˣqⁿ⁻ˣ.

Here, n is the total children 6,

Let 'x' be the normal child

Then, n! - x! is the affected child.

Let 'p' is the normal child probability (= 3/4) and

Then, 'q' is affected child probability (= 1/4).

Substituting the values in the formula;

probability = (6!/3!×3!)×(3/4)³×(1/4)³

on solving

probability = 0.1318

probability = 13.18%

probability = 13.2% (approximately)

Therefore,  the binomial theorem to determine the probability that three of the children have sickle cell anemia and three of the children are healthy is 13.2%.

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Answer:

I believe the answer is (A)

*Substituting the x and y values from the table into the equation(A) will balance the right side of the equation to the left side of the equation.

Answer:

30.2 meters

Step-by-step explanation:

The key is to realize that a 30 60 90 triangle can be constructed and the height of the house can be found from there. It may be helpful to draw a diagram.
I will use the diagram attached for reference to this solution.

Remember that the answer is asking for y, or the length of DE.

The angle CAB is 30 degrees, and the angle ACB is 90 degrees
The length of CB is 25 * sqrt3
Since ACB is a 30 60 90 triangle, and we know the length of one of the sides, the length of the other sides can be calculated.
CB is the shortest length, and so the middle length, AC, is sqrt(3) times longer than the length of the shortest length, CB

CB's length * sqrt 3 = AC's length = 25 * sqrt3 * sqrt3

AC = 75

length of A to F (I can't combine the letters a and f because then brainly thinks i'm swearing ) = 75 + x = 107

x = 32

Since length of BE = length of CF,

32 = BD + DE = 1.8 + y

y = 30.2 meters

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Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Answer:

You subtract 249 minus 5

To evaluate the integral ∫5t sin²(t) dt, we can use integration by parts.

Let u = t and dv = 5sin²(t) dt.

Differentiating u with respect to t, we get du = dt.

To find v, we need to integrate dv. Rewrite sin²(t) as (1/2)(1 - cos(2t)) to simplify the integral.

dv = 5sin²(t) dt

  = 5(1/2)(1 - cos(2t)) dt

  = (5/2)(1 - cos(2t)) dt.

Integrating dv, we have:

v = ∫(5/2)(1 - cos(2t)) dt

  = (5/2)(t - (1/2)sin(2t)) + C,

where C is the constant of integration.

Now we can apply integration by parts:

∫5t sin²(t) dt = uv - ∫v du

             = t * (5/2)(1 - cos(2t)) - ∫(5/2)(t - (1/2)sin(2t)) dt

             = (5/2)t - (5/2)(t/2)sin(2t) - (5/2)∫(t - (1/2)sin(2t)) dt

             = (5/2)t - (5/4)sin(2t) - (5/2)∫t dt + (5/4)∫sin(2t) dt

             = (5/2)t - (5/4)sin(2t) - (5/4)(t²/2) - (5/4)(-1/2)cos(2t) + C

             = (5/2)t - (5/4)sin(2t) - (5/8)t² + (5/8)cos(2t) + C,

where C is the constant of integration.

Therefore, the integral evaluates to (5/2)t - (5/4)sin(2t) - (5/8)t² + (5/8)cos(2t) + C.

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Density of water (ρ) = 1 g/cm³ Pressure at the tank (P1) = 1 atm (gauge) = 1 + 1 = 2 atm = 2 * 101.325 kPa Pressure at the surface of the lake (P2) = 1 atm (gauge) fric tion losses and Height difference between the lake and the tank (h) = 50 m Power delivered to the pump (P) = 2.5 hp = 2.5 * 745.7 W = 1864.25 WLet's solve the problem step by step.

Step 1: Calculate the pressure at the lake surface:Pressure at the lake surface = P2 + ρghHere, h = 50 m∴ Pressure at the lake surface (P2) = 1 atm (gauge) + 1 g/cm³ × 9.8 m/s² × 50 m = 601.8 kPa

Step 2: Determine the volume flow rate of water:Volume flow rate = Power / (ρgΔh)Here, Δh = h = 50 m∴ Volume flow rate = 1864.25 W / (1 g/cm³ × 9.8 m/s² × 50 m) = 3.784 m³/s

Step 3: Convert volume flow rate to mass flow rate:Mass flow rate = ρ × Volume flow rate= 1 g/cm³ × 3.784 m³/s= 3784 kg/s Therefore, the mass flow rate of water (in kg/s) is 3784.

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It will take 9.21 minutes until 50 grams.

What is decay?

"Decay" means "decrease". If the rate of decrease of a quantity is proportional to its current value, then we say that it is subject to exponential decay.

Formula of decay,

f(t) = a(1-r)^t

f(t) is the value after decay.

r is rate

t is time and a is initial value

Given,

initial mass was 990.

rate = 0.278

after decay = 50 gram.

We get,

50 = 990(1-0.287)^t

50/990 = (0.723)^t

taking log on both side.

t = 9.21

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Answer:

  x = 10

Step-by-step explanation:

Perhaps you want the solution to the equation -5(-1x +6) -1x = 1x.

It usually works well to simplify the equation as a first step.

  -5(-1x +6) -1x = 1x . . . . . . given

  5x -30 -1x = 1x . . . . . eliminate parentheses using the distributive property

We want to collect the variable terms on one side of the equation, and the constant terms on the other side. Along the way, we want to make the coefficient of x be 1.

  3x -30 = 0 . . . . . . subtract 1x and collect terms

  x -10 = 0 . . . . . . divide by 3

  x = 10 . . . . . . add 10

We can put this value of x in the original equation to see if it gives a true statement.

  -5(-1(10) +6) -1(10) = 1(10)

  -5(-10 +6) -10 = 10

  -5(-4) -10 = 10

  20 -10 = 10 . . . . . . . true

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Let's simplify the given expression step by step:

-5(-1x + 6) - 1x = 1x

Step 1: Distribute -5 to the terms inside the parentheses:

5x - 30 - 1x = 1x

Step 2: Combine like terms on the left side of the equation:

4x - 30 = 1x

Step 3: Move all terms involving x to one side of the equation:

4x - 1x = 30

Step 4: Combine like terms:

3x = 30

Step 5: Solve for x by dividing both sides of the equation by 3:

x = 30 / 3

Step 6: Simplify the right side:

x = 10

Therefore, the solution to the equation -5(-1x + 6) - 1x = 1x is x = 10.

The other two equations, x = \(2^{-y}\) and x = -(\(2^{y}\)), do not represent the same function as y = (log)_½ x. They represent different equations with different properties and behaviors.

The equation y = (log)_½ x represents a logarithmic function with base ½. This function describes the exponent to which the base ½ must be raised to obtain the value of x.

The equation x = \(2^{y}\), on the other hand, represents an exponential function with base 2. This function describes the value of x as 2 raised to the power of y.

These two equations represent inverse functions of each other. By interchanging the roles of x and y, the equation y = (log)_½ x can be rewritten as x = \(2^{y}\). This means that for any value of y, if we substitute it into x = \(2^{y}\), we will obtain the corresponding value of x that satisfies the original equation y = (log)_½ x.

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Answer:

36

Step-by-step explanation:

All angles are right angles here. You know one is 54 so the other unknown side in that quadrant has to be 90 - 54.

As angle B is going to be the same as the angle that you just located in that quadrant, the answer is 36

The probability that x is less than 2 is approximately 0.4866. The probability that x is greater than 3 is approximately 0.3528. The probability that x is less than 5 is approximately 0.6321. The probability that x is between 2 and 5 is approximately 0.1455.

The given probability density function is an exponential distribution with a rate parameter of λ = 1/3. The formula for P(x < x_0) is the cumulative distribution function (CDF) of the exponential distribution, which is given by:

F(x_0) = ∫[0,x_0] f(x) dx = ∫[0,x_0] 1/3 * 4 * e^(-x/3) dx

a. Write the formula for P(x < x_0):

Using integration, we can solve this formula as follows:

F(x_0) = [-4e^(-x/3)] / 3 |[0,x_0]

= [-4e^(-x_0/3) + 4]/3

b. Find P(x < 2):

To find P(x < 2), we simply substitute x_0 = 2 in the above formula:

F(2) = [-4e^(-2/3) + 4]/3

≈ 0.4866

Therefore, the probability that x is less than 2 is approximately 0.4866.

c. Find P(x > 3):

To find P(x > 3), we can use the complement rule and subtract P(x < 3) from 1:

P(x > 3) = 1 - P(x < 3) = 1 - F(3)

= 1 - [-4e^(-1) + 4]/3

≈ 0.3528

Therefore, the probability that x is greater than 3 is approximately 0.3528.

d. Find P(x < 5):

To find P(x < 5), we simply substitute x_0 = 5 in the above formula:

F(5) = [-4e^(-5/3) + 4]/3

≈ 0.6321

Therefore, the probability that x is less than 5 is approximately 0.6321.

e. Find P(2 < x < 5):

To find P(2 < x < 5), we can use the CDF formula to find P(x < 5) and P(x < 2), and then subtract the latter from the former:

P(2 < x < 5) = P(x < 5) - P(x < 2)

= F(5) - F(2)

= [-4e^(-5/3) + 4]/3 - [-4e^(-2/3) + 4]/3

≈ 0.1455

Therefore, the probability that x is between 2 and 5 is approximately 0.1455.

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The numbers in the rational form ( in there lowest form) of p/q are

(a) 0.75 = 3/4

(b) 0.12 = 3/25

(c) 0.80 = 4/5

(d) 1.25 = 5/4

In the question ,

number in the decimal form are given , and we have to express them in the rational form that is p/q .

So ,the expressions in rational form and lowest form are

(a) 0.75 \(=\) 75/100 = 3/4

(b) 0.12 \(=\) 12/100 = 6/50 = 3/25

(c) 0.80 \(=\) 80/100 = 8/10 = 4/5

(d) 1.25 \(=\) 125/100 = 5/4

Therefore , The numbers in the form of p/q are  (a) 0.75 = 3/4 , (b) 0.12 = 3/25 , (c) 0.80 = 4/5  , (d) 1.25 = 5/4   .

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Step-by-step explanation:

3x+3=12

3x=12-3

3x=9

3÷3=1

9÷3=3

x=3.

Answer:

Step-by-step explanation:

Answer:

The answer to your question is the first option.

Step-by-step explanation:

Answer:

2/10 = 1/5

Step-by-step explanation:

It landed five 2 times and you rolled it 10 times

Answer:

72

Step-by-step explanation:

Answer:

first write 30% as fraction

30/100 then "of" means multiplication

30/100×240

=72

can i have brainliest if it helped

Step-by-step explanation:

Answer:

y+2=1/2(x+3)

Why?

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)

Answer:

by adding 11

Step-by-step explanation:

i hope this is what you were asking for

Answer:

3d+5

Step-by-step explanation:

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Answer:

It will be 47. hope it helps:)

Step-by-step explanation:

Answer:

Betsy's calculations in Step 1 are correct because (8 + 18) gives 26. Betsy's calculations in Step 2 are incorrect because \(3^4\) doesn't give 12. If Betsy reaches her goal each year, she will have 2,106 customers 4 years from now.

Step-by-step explanation:

Using this scale, we can draw a rectangle with dimensions 3/4 inch wide by 1 1/2 inches long to represent the skatepark.

To create a scale drawing of the skatepark with a scale of 1/4 in. = 8 yd, we need to convert the dimensions of the skatepark to match the scale.

Given:

Width of the skatepark: 24 yards

Length of the skatepark: 48 yards

Scale: 1/4 in. = 8 yd

We can set up the proportion:

1/4 inch / 8 yards = x inches / 24 yards

To find the value of x, we cross-multiply and solve for x:

(1/4) * 24 = 8 * x

6 = 8x

x = 6/8

x = 3/4

Therefore, for the scale drawing, every 8 yards in the actual skatepark will be represented by 1/4 inch on the scale drawing.

Using this scale, we can draw a rectangle with dimensions 3/4 inch wide by 1 1/2 inches long to represent the skatepark.

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Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

The width of the satellite dish at the opening is 23 feet.

To find the width of the satellite dish at the opening, we need to use the formula for the cross section of a parabola, which is y^2 = 4px, where p is the distance from the vertex to the focus. In this case, p = 4 and y = 5 (half the depth of the dish). We can solve for x by plugging in these values and solving for y:

25 = 4(4)x

x = 25/16

Since we need to find the width at the opening, we need to double this value to account for both sides of the dish:

2x = 25/8

To round to the nearest foot, we need to find the nearest whole number. Since 25/8 is between 3 and 4, we round up to 4, giving us a width of 23 feet.

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Part A: It can be written as y = sin(x - c), where c represents the amount of phase shift. Part B: We can use the equation y = sin(x - a), where a represents the amount of rightward shift. Part C: The period is the distance between corresponding points on the graph, such as two peaks or two troughs. Part D: There are infinitely many equations that can be written to map the parent sine function onto itself.

1. Part A: To introduce a phase shift to the parent sine function y = sin(x), we subtract a constant value c from the input variable x. The equation y = sin(x - c) has an identical graph to the parent sine function, but it is shifted horizontally by an amount of c units to the right or left. The value of c determines the amount of phase shift, where a positive value shifts the graph to the right, and a negative value shifts it to the left.

2. Part B: To map the parent sine function onto itself by shifting it to the right, we can use the equation y = sin(x - a), where a represents the amount of rightward shift. By subtracting a constant value a from the input variable x, the graph is shifted a units to the right while maintaining the same shape.

3. Part C: The equations in parts A and B indicate that the period of the sine function remains the same. The period of the sine function is the distance between corresponding points on the graph, such as two peaks or two troughs. Introducing a phase shift or rightward shift does not alter the period; it only changes the starting point or position of the graph.

4. Part D: There are infinitely many equations that can be written to map the parent sine function onto itself. By combining different values of phase shifts and rightward shifts, we can obtain various equations. The sine function is periodic, meaning it repeats itself indefinitely. Any combination of phase shift and rightward shift will result in the same graph repeating after a specific interval, which is the period of the sine function. Therefore, there is no limit to the number of equations that can be written to achieve this mapping.

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Answer:

about 10 times

Step-by-step explanation:

60 times 1/6 (probability ) = 60/6 or 10