Paroxysmal nocturnal hemoglobinuria (PNH) is an extremely rare, acquired, life-threatening disease of the blood. In PNH the bone marrow produces defective red blood cells. The immune system responds by destroying these defective red blood cells in a process known as hemolysis. Suppose that the probability that a patient recovers from PNH is 0.40. If 100 people are known to have contracted this disease, what is the probability that less than 30 of them will survive? O 0.00162 O 0.0162 O 0.0000162 O 0.162 O 0.000162

Typing this as an actual answer this time smh:

My house is still decorated for christmas

Answer:

im not black, im the opposite

Percentage discount

\(\\ \rm\rightarrowtail \dfrac{2}{86.25}{100}\)

\(\\ \rm\rightarrowtail 0.0232(100)\)

\(\\ \rm\rightarrowtail 2.32\%\)

Answer:

2.3% (nearest tenth)

Step-by-step explanation:

\(\sf percentage \ change =\dfrac{|final \ value - initial \ value|}{initial \ value} \times 100\%\)

Given:

\(\sf \implies percentage \ change =\dfrac{|84.25-86.25|}{86.25} \times 100\%\)

\(\sf \implies percentage \ change =\dfrac{2}{86.25} \times 100\%\)

\(\sf \implies percentage \ change =2.3\% \ (nearest \ tenth)\)

Answer:

SAS, because vertical angles are congruent.

Answer:

d

Step-by-step explanation:

If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.

Answer:

12

Because:

30 is to 25 as x is to 10.

As an equation: 30/25 = x/10

Do this equation by: look at image

Answer:

The triangles are made up from the climbing dome divided

Step-by-step explanation:

According to the question the measure of angle P to the nearest degree is 89 degrees.

An angle is a shape in Euclidean geometry made composed of two rays, called the angle's faces, which converge at the vertex, or center, of the shape. The arrangement of two rays can result in an angle being formed in the surface. In addition, an angle is produced when two planes collide. They are known as dihedral angles. In planar geometry, an angle is one of the potential shapes for an array of lines and rays that share a terminal.

given,

We are given the sides of a triangle ANO, with AN = 1.1 inches, NO = 2.1 inches, and AO = 2.6 inches. We need to find the measure of angle P to the nearest degree.

To find the measure of angle P, we can use the Law of Cosines, which states that:

c² = a² + b² - 2ab*cos(C)

where a, b, and c were the other two sides, and c is the side that faces angle C.

In our triangle ANO, we can use the Law of Cosines to find the measure of angle AON as follows:

AO²= AN² + NO² - 2ANNO*cos(AON)

Substituting the given values, we get:

2.6² = 1.1² + 2.1² - 21.12.1*cos(AON)

Simplifying the equation, we get:

cos(AON) = (1.1² + 2.1² - 2.6²) / (21.12.1)

cos(AON) = -0.1625

Taking the inverse cosine (cos⁻¹) of both sides, we get:

AON = 101.2 degrees (rounded to one decimal place)

Now, to find the measure of angle P, we can use the fact that the angles in a triangle add up to 180 degrees. Therefore:

P = 180 - AON - ANO

P = 180 - 101.2 - 90

P = 88.8 degrees (rounded to one decimal place)

Therefore, the measure of angle P to the nearest degree is 89 degrees.

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Answer:

27

Step-by-step explanation:

(30 workers/40 days) = (20 workers/x days) cross multiply

30*x=40*20 divide by 30 both sides

x= 800/30

x≈26.67

So they will need 27 days

The study of population growth is important because it helps us understand the factors that drive changes in population size, and the impacts that population growth can have on the environment, economy, and human well-being.

Understanding population dynamics is essential for developing sustainable policies and managing natural resources effectively.

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Alonzo rode the scooter for 44 minutes.

Let the fee to start the scooter be F, and let the cost per minute of the ride be C. We are given that Alonzo's total bill for the ride is T. With this knowledge, we can construct the following equation:

T = F + Cm

where m is the number of minutes Alonzo rode the scooter. We want to solve for m.

To find m, we may rewrite the equation as follows:

m = (T - F)/C

Therefore, the number of minutes Alonzo rode the scooter is (T - F)/C.

For example, let's say the fee to start the scooter is $2.50, and the cost per minute of the ride is $0.15. If Alonzo's total bill for the ride was $9.20, then we can plug these values into the equation above to find the number of minutes Alonzo rode the scooter:

m = (T - F)/C = (9.20 - 2.50)/0.15 = 44

Therefore, Alonzo rode the scooter for 44 minutes.

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In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).

We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

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Answer:

no it is not possible

Step-by-step explanation:

The formula is (360/n)

and 360 is not completely divisible by 25.

We express the expression 9 - √3 in Euler's form as 9 - 2 * (cos(π/3) + i*sin(π/3)).

Euler's formula relates the exponential function, complex numbers, and trigonometric functions. It states:

e^(ix) = cos(x) + i*sin(x)

To express the expression 9 - √3 in Euler's form, we can rewrite it as follows:

9 - (√3) = 9 - (2 * (√3)/2)

Now, let's focus on the term (√3)/2. We can express it in terms of Euler's formula as follows:

(√3)/2 = (1/2) * (2 * (√3)/2)

= (1/2) * (2 * (cos(π/3) + isin(π/3)))

= cos(π/3) + isin(π/3)

Substituting this back into the original expression, we have:

9 - (√3) = 9 - (2 * (√3)/2)

= 9 - (2 * (cos(π/3) + isin(π/3)))

= 9 - 2 * (cos(π/3) + isin(π/3))

We can simplify this expression further if desired, but this is the expression in the desired form using Euler's formula.

In summary, we express the expression 9 - √3 in Euler's form as 9 - 2 * (cos(π/3) + i*sin(π/3)). This form highlights the connection between exponential functions and trigonometric functions, allowing us to work with complex numbers in a more convenient way.

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The given differential equation is solved using the Laplace transform method. After taking the Laplace transform and simplifying the equation, we find the expression for the Laplace transform of the solution.

To solve the given initial value problem (IVP) using the Laplace transform, we will follow these steps:

Step 1: Take the Laplace transform of both sides of the differential equation.

Applying the Laplace transform to the equation y" - 6y' + 13y = 16te^3t, we get:

s^2Y(s) - sy(0) - y'(0) - 6(sY(s) - y(0)) + 13Y(s) = 16L{te^3t}

Using the initial conditions y(0) = 4 and y'(0) = 8, we can simplify the equation as follows:

s^2Y(s) - 4s - 8 - 6sY(s) + 24 + 13Y(s) = 16L{te^3t}

(s^2 - 6s + 13)Y(s) - 4s - 16 = 16L{te^3t}

Step 2: Solve for Y(s).

Combining like terms and rearranging the equation, we have:

(s^2 - 6s + 13)Y(s) = 4s + 16 + 16L{te^3t}

Dividing both sides by (s^2 - 6s + 13), we get:

Y(s) = (4s + 16 + 16L{te^3t}) / (s^2 - 6s + 13)

Step 3: Find the inverse Laplace transform of Y(s) to obtain the solution y(t).

Taking the inverse Laplace transform of Y(s), we get:

y(t) = L^(-1){(4s + 16 + 16L{te^3t}) / (s^2 - 6s + 13)}

To solve this inverse Laplace transform, we can use tables of Laplace transforms or a Laplace transform calculator to find the expression in terms of t. The resulting expression will be the solution to the given IVP.

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The normalization of a vector of u and v are (15/17)i+(-6/17)j+(8/17)k and (pi/sqrt(pi^2+50))i+(7/sqrt(pi^2+50))j-(1/sqrt(pi^2+50))k, (5/sqrt(26))j-(1/sqrt(26))i and (-1/sqrt(2))j+(1/sqrt(2))i, (7/sqrt(66))i-(1/sqrt(66))j+(4/sqrt(66))k and (1/sqrt(3))i+(1/sqrt(3))j-(1/sqrt(3))k respectively.

To normalize a vector, first find its magnitude, which is the square root of the sum of the squares of its components. Then, divide each component by the magnitude. After normalization, the vector will have a magnitude of 1 and can be used in various calculations such as dot product and cross product.

For vector u,

||u||=sqrt(15^2+(-6)^2+8^2)=17

u_normalized=u/||u||=(15/17)i+(-6/17)j+(8/17)k

For vector v,

||v||=sqrt(pi^2+7^2+(-1)^2)=sqrt(pi^2+50)

v_normalized=v/||v||=(pi/sqrt(pi^2+50))i+(7/sqrt(pi^2+50))j-(1/sqrt(pi^2+50))k

For vector u,

||u||=sqrt(5^2+(-1)^2)=sqrt(26)

u_normalized=u/||u||=(5/sqrt(26))j-(1/sqrt(26))i

For vector v,

||v||=sqrt((-1)^2+1^2)=sqrt(2)

v_normalized=v/||v||=(-1/sqrt(2))j+(1/sqrt(2))i

For vector u,

||u||=sqrt(7^2+(-1)^2+4^2)=sqrt(66)

u_normalized=u/||u||=(7/sqrt(66))i-(1/sqrt(66))j+(4/sqrt(66))k

For vector v,

||v||=sqrt(1^2+1^2+(-1)^2)=sqrt(3)

v_normalized=v/||v||=(1/sqrt(3))i+(1/sqrt(3))j-(1/sqrt(3))k

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1) Judging by the picture, which resembles a construction done with a compass with the same distance, therefore we can tell a regular polygon.

2) We can also trace some line segments then we'll have a:

Answer:

300 seconds

Step-by-step explanation:

The first dog run at v₁ = 15 m/sec     the second one run at  v₂ = 12 m/sec

we know that  d = v*t  then  t  =  d/v

Then the first dog will take  300/ 12  =  25 seconds to make a turn

The second will take   300 / 15   =   20 seconds to make a turn

Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.

To check  first dog    12 *  25 = 300

And the second dog 15 * 20 = 300

That means that time required for the two dogs to be at the start point together is

300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.

Another procedure to solve this problem is as follows:

between  12  m/sec and  15 m/sec   the minimum common multiple  is 300 ( 300 is the smaller number that accept 12 and 15 as factors         12*15 = 300) Then when time arrives at 300 seconds the two dogs will be again in the starting point

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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Answer:

Step-by-step explanation:

You want values of ∆y and dy for y = x² -6x and x = 5, ∆x = dx = 0.5.

The value of dy is found by differentiating the function.

  y = x² -6x

  dy = (2x -6)dx

For x=5, dx=0.5, this is ...

  dy = (2·5 -6)(0.5) = (4)(0.5)

  dy = 2

The value of ∆y is the function difference ...

  ∆y = f(x +∆x) -f(x) . . . . . . . where y = f(x) = x² -6x

  ∆y = (5.5² -6(5.5)) -(5² -6·5)

  ∆y = (30.25 -33) -(25 -30) = -2.75 +5

  ∆y = 2.25

__

Additional comment

On the attached graph, ∆y is the difference between function values:

  ∆y = -2.75 -(-5) = 2.25

and dy is the difference between the linearized function value and the function value:

  dy = -3 -(-5) = 2.00

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Answer:

3/10

Step-by-step explanation:

We have to list out the numbers that are divisible by 6 and 7 that we can find between 1 and 30

so, we have this as;

6,7,12,14,18, 21, 24,28 and 30

The count we have here is 9

The total number we have is 30

So the probability is simply the count we have divided by 30

so we have this as ; 9/30 =

3/10

The population of a district in 2005 was 35,700 with a continuous annual growth rate of approximately 4%. the population in 2030 will be approximately 97,209 according to the exponential growth function.

The formula for the continuous exponential growth is given by the formula:

P = Pe^(rt)

where,P is the population in the future.

P0 is the initial population.

t is the time.

r is the continuous interest rate expressed as a decimal.

e is a constant equal to approximately 2.71828.In this problem, the initial population P0 is 35,700. The rate r is 4% or 0.04 expressed as a decimal. We want to find the population in 2030, which is 25 years after 2005.

Therefore, t = 25.We will now use the formula:

P = Pe^(rt)P = 35,700e^(0.04 × 25)P = 35,700e^(1)P = 35,700 × 2.71828P = 97,209.09.

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Answer: I got 97,042.7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

A. (125.6 in)

Step-by-step explanation:

R = d / 2 = 40 / 2 = 20 in

Circumference is:

S = 2*π*R=2*3.14*20=125.6 in

Answer:

N=1

Step-by-step explanation:

1/2n+7=n+14/2

Multiply 2 on both sides to get rid of fraction

N+14=n+14

In this situation the answer is automatically 1

Check:

1/2(1)+7=1+14/2?

7 1/2= 7 1/2 ✔️

Answer:

x = 6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

3x + 4 = 5x - 8

==> add 8 to both sides

in doing so we get 3x + 4 + 8 = 5x - 8 + 8

the -8 and the +8 cancels out and 4 + 8 = 12

we are left with 3x + 12 = 5x

==> subtract 3x from both sides

in doing so we get 3x - 3x + 12 = 5x - 3x

the 3x and -3x cancel out and 5x - 3x = 2x

we are left with 12 = 2x

==> divide both sides by 2

in doing so we get 12/2 which equals 6 and 2x/2x which leaves us with

6 = x

Answer:

16

Step-by-step explanation:

distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Answer:

the picture is the answer.

Step-by-step explanation:

this is a guess-and-check problem. So you'll have to start with the blank between 4 and 9.

Therefore, the 90% confidence interval for the mean height of the population of female runners is (64.77, 66.83) inches.

A confidence interval is a range of values that provides an estimate of the unknown population parameter with a certain level of confidence. The confidence level represents the percentage of times that the true population parameter will be contained within the interval, based on repeated sampling.

a) Using a t-distribution with 11 degrees of freedom (n-1), and a 90% confidence level, the t-value is 1.796.

The left boundary of the confidence interval is:

65.80 - (1.796 * (1.95 / √(12))) = 64.77 inches (rounded to two decimal places)

b) The right boundary of the confidence interval is:

65.80 + (1.796 * (1.95 / √(12))) = 66.83 inches (rounded to two decimal places)

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The time for the village to dig the new well is about 7 1/2 years. At this time the population doubles from its current size.

For a function f(x) = y, the steps to draw a graph for the given function are as follows:

It is given that,

f(x) = 200 × \((1.098)^x\)

Village's population growing rate = 9.8%

Creating a table for x and f(x) values:

x: 0   2   4   6   8   10

f(x = 0) = f(0) = 200 × \((1.098)^0\) = 200

f(x = 2) = f(2) = 200 × \((1.098)^2\) = 241

f(x = 4) = f(4) = 200 × \((1.098)^4\) = 291

f(x = 6) = f(6) = 200 × \((1.098)^6\) = 350

f(x = 8) = f(8) = 200 × \((1.098)^8\) = 423

f(x = 10) = f(10) = 200 × \((1.098)^1^0\) = 509

So,

(x, f(x)): (0, 200)  (2, 241)  (4, 291)  (6, 350)  (8, 423)  (10, 509)

Plotting these points in the graph and joining the points, the graph is shown below.

Finding the time for the village to dig a new well:

It is given that the population doubled from its current size, the village will need to dig new water well.

The current size of the village = 200

If it doubles for a certain time 't' = 400

So,

400 = 200 × \((1.098)^t\)

⇒ \((1.098)^t\) = 2

⇒ log\((1.098)^t\) = log 2

⇒ t log(1.098) = 0.301

⇒ t × 0.04 = 0.301

∴ t = 7.525 years

Therefore, the village's population becomes double at the time 7 and half years from now. So, after 7 1/2 years, the village needs to dig a new well.

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