Clay is flying a helicopter at an altitude of 400 feet in the air. Jason is diving 200 feet below the surface.

Answer:

293

Step-by-step explanation:

✓85849=. 85849^1/2

= 293

Answer:

l = 12

Step-by-step explanation:

Let l=length

The side  of a square   s=3

l = 4s = 4*3 = 12

Answer:

\(12\)

Step-by-step explanation:

\(length = 4 \times side \\ = 4 \times 3 \\ = 12\)

hope this helps

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To determine the minimum sample size needed for the researcher to be confident that his estimate is within "mm" hg of the true mean systolic blood pressure, we will use the following formula:

n = (Z * σ / E)²

where:
n = minimum sample size
Z = Z-score corresponding to the desired confidence level
σ = population standard deviation (in this case, "mm" hg)
E = margin of error (in this case, "mm" hg)

1. Determine the Z-score corresponding to the desired confidence level. Common confidence levels include 90%, 95%, and 99%, which correspond to Z-scores of 1.645, 1.960, and 2.576, respectively. Choose the appropriate Z-score based on the desired confidence level.

2. Substitute the given values of σ and E (both in "mm" hg) and the chosen Z-score into the formula: n = (Z * σ / E)²

3. Carry out the calculations, rounding the result up to the nearest whole number. This will ensure that the sample size is the minimum whole number that satisfies the requirements.

4. The result is the minimum sample size needed for the researcher to be confident that his estimate is within "mm" hg of the true mean systolic blood pressure.

Note: Since this question haven't provided specific values for standard deviation, margin of error, and desired confidence level . follow the steps with the specific values you have to find the minimum sample size.

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Answer:

it's 4 1/3

Step-by-step explanation:

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Answer:

6.58 x 10 ^ -2

Step-by-step explanation:

that's 10 to the negative 2 power.

it creates a smaller number. moving decimal to left 2 places.

.0658 meters

The line passes through the point (4, 3)

The line has a slope of m=-1/3

The equation of the line can be written in the form

Since the slope is -1/3

Then the equation becomes

Since the line passes through the point (4, 3)

Substitute x = 4, y= 3 into the equation

Simplify the equation and solve for c

Hence, the equation becomes

Using an online graphing calculator.

The graph of the line is shown

Answer:

x would be equal to 11.66 you get this when you divide 67 by 6.

Step-by-step explanation:

The strawberries that are way more than 2 ounces will be 24 strawberries.

It should be noted that the information stated that 30 of the 54 strawberries she picked the way less than 2 ounces.

Therefore, the strawberries that are way more than 2 ounces will be the difference between the total number picked and 30.

This will be:

= 54 - 30

= 24

Therefore, the strawberries that are way more than 2 ounces will be 24 strawberries.

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Answer:

5/12 %

Step-by-step explanation:

800x/100 = 3 1/3

8x = 10/3

x = 5/12

The number which is equal to the percent of number 800 is 3 1/3 as a fraction in simplest form is 5/12 %.

Percentage of a number is the part of the number expressed in every hundred of it. Percentage of a number is expressed with the symbol '%'.

The whole number given in the problem is 800 and the mixed number given is,

\(3\dfrac{1}{3}\)

First convert this mixed number into the fraction number as,

\(3\dfrac{1}{3}=\dfrac{9+1}{3}\\3\dfrac{1}{3}=\dfrac{10}{3}\)

Let suppose the x percent of  800 is 3 1/3 as a fraction In simplest form. Thus,

\(800\times\dfrac{x}{100}=\dfrac{10}{3}\\\)

Solve it further to find the value of x as,

\(x=\dfrac{10\times100}{800\times3}\\x=\dfrac{5}{12}\)

Thus the number which is equal to the percent of number 800 is 3 1/3 as a fraction in simplest form is 5/12 %.

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Answer:

The next term is 64, a is 2, and the common ratio is 2.

Step-by-step explanation:

Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.

The equation equivalent to 4x+3 = 64 is 4x = 61. This can be found by subtracting 3 from both sides of the equation.

When we subtract 3 from both sides of the equation, we are essentially removing the 3 from the left-hand side and adding it to the right-hand side. This keeps the equation balanced, and ensures that the two sides are still equal.

In this case, when we subtract 3 from 4x+3, we are left with 4x. When we add 3 to 64, we are left with 61. Therefore, the equation 4x = 61 is equivalent to 4x+3 = 64.

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Answer:

-0.6000

Step-by-step explanation:

sin² A + cos² A = 1

sin² A = 1 - Cos² A

= 1 - (4/5)²

= 1 - 0.64

= 0.36

sin A = sqrt 0.36 = 0.6

in quadrant IV sin is negative

sin A = -0.6000

Answer:

Step-by-step explanation:

\((20,21,x) \\Pythagoras -Theorem =\\a^2+b^2 = c^2\\\\20^2 + 21^2 = x^2\\400 + 441 = x^2\\841 = x^2\\Square -root-both-sides\\\sqrt{841} = \sqrt{x^2} \\29 = x\\\\x = 29\)

Answer:

B. 29

Step-by-step explanation:

Use Pythagoras theorem.

a² + b² = c²

x is the hypotenuse.

20² + 21² = x²

400 + 441 = x²

841 = x²

√841 = √(x²)

29 = x

Answer:

4.9 x 10^9 = 4,900,000,000

3.2 x 10^-5 = 0.000032

Step-by-step explanation:

4.9 x 10^9 = 4,900,000,000: note the 9 places after the 4.

10^9 = 1,000,000,000; after substituting,

4.9 x 1,000,000,000 = 4,900,000,000

10^-5 = 0.00001

3.2 x 0.00001 = 0.000032

27n +1 this is correct answer

I think i help you

Bye

Answer: Let, n(U) be=x only (p)=x/5 only(ca)=16 n(pnc)=?n(c)=60%ofx=0.6x

then,

Only (c)=n(c)-n(cnp)

16=0.6x-n(cnp)

n(cnp)=0.6x-16

again,

n(U)=only(p)+only (c)+n(cnp)+n(pUc)of complement

x=x/5+16+0.6x-16+8

5x=x+3x+40

x=40

n(cnp)=0.6x-16=0.6×40-16=8

Step-by-step explanation:

Answer:

a is -2,1        b is -3,3        c is -1,3

Step-by-step explanation:

answer:

53

explanation

Answer:

Let the no. of eggs that can be accommodated be x then the equation formed will be 14x - 12 = 380 we get x = 28 therefore no. of eggs accommodated in one tray or each tray is 28 eggs.

Step-by-step explanation:

I tried

Answer:

B:-(-2,6) is correct answer 100%

Answer:

x = -6

Explanation:

Adjust the parameters as needed, such as the step size (h) and the final x-value (xn), and run the code to obtain the solution for y(x).

The resulting plot will show the solution curve.

To solve the given set of differential equations using the Runge-Kutta method in MATLAB, we need to convert the second-order differential equations into a system of first-order differential equations.

Let's define new variables:

y = y(x)

z = dz/dx

Now, we have the following system of first-order differential equations:

dy/dx = z (1)

dz/dx = -k/(2y) (2)

To apply the Runge-Kutta method, we need to discretize the domain of x. Let's assume a step size h for the discretization. We'll start at x = 0 and proceed until x = infinite.

The general formula for the fourth-order Runge-Kutta method is as follows:

k₁ = h f(xn, yn, zn)

k₂ = h f(xn + h/2, yn + k₁/2, zn + l₁/2)

k₃ = h f(xn + h/2, yn + k₂/2, zn + l₂/2)

k₄ = h f(xn + h, yn + k₃, zn + l₃)

yn+1 = yn + (k₁ + 2k₂ + 2k₃ + k₄)/6

zn+1 = zn + (l₁ + 2l₂ + 2l₃ + l₄)/6

where f(x, y, z) represents the right-hand side of equations (1) and (2).

We can now write the MATLAB code to solve the differential equations using the Runge-Kutta method:

function [x, y, z] = rungeKuttaMethod()

   % Parameters

   k = 1;              % Constant k

   h = 0.01;           % Step size

   x0 = 0;             % Initial x

   xn = 10;            % Final x (adjust as needed)

   n = (xn - x0) / h;  % Number of steps

   % Initialize arrays

   x = zeros(1, n+1);

   y = zeros(1, n+1);

   z = zeros(1, n+1);

   % Initial conditions

   x(1) = x0;

   y(1) = 0;

   z(1) = 0;

   % Runge-Kutta method

   for i = 1:n

       k1 = h * f(x(i), y(i), z(i));

       l1 = h * g(x(i), y(i));

       k2 = h * f(x(i) + h/2, y(i) + k1/2, z(i) + l1/2);

       l2 = h * g(x(i) + h/2, y(i) + k1/2);

       k3 = h * f(x(i) + h/2, y(i) + k2/2, z(i) + l2/2);

       l3 = h * g(x(i) + h/2, y(i) + k2/2);

       k4 = h * f(x(i) + h, y(i) + k3, z(i) + l3);

       l4 = h * g(x(i) + h, y(i) + k3);

       y(i+1) = y(i) + (k1 + 2*k2 + 2*k3 + k4) / 6;

       z(i+1) = z(i) + (l1 + 2*l2 + 2*l3 + l4) / 6;

       x(i+1) = x(i) + h;

   end

   % Plotting

   plot(x, y);

   xlabel('x');

   ylabel('y');

   title('Solution y(x)');

end

function dydx = f(x, y, z)

   dydx = z;

end

function dzdx = g(x, y)

   dzdx = -k / (2*y);

end

% Call the function to solve the differential equations

[x, y, z] = rungeKuttaMethod();

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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Answer:

whats the question?

Step-by-step explanation:

Answer:

n=4

Step-by-step explanation:

To write this equation, we know that five more than n equals 5. The word "more" implies we are adding. So we can write n+5=9 as our equation. We need to isolate the variable, so we get only n on one side. So we subtract 5 from each side to isolate. 9-5=4. So our new equation is n=4. This is also our answer!

I hope this has helped you!

The mean difference in game scores over the six games is 12

The mean difference, or difference in means, measures the absolute difference between the mean value in two different groups.

Given the points by which a basketball team either won or lost 6 games.

- Won by 7 points = +7

- Lost by 10 points = -10

- Won by 8 points = +8

- Won by 11 points = +11

- Lost by 2 points = -2

- Won by 10 points = +10

Thus;

Mean difference of the 6 games is;

= (+7 - 10 + 8 + 11 - 2 + 10)/6

= 24/6

= 12

Hence, the mean difference in game scores over the six games is 12

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The minimum length of the third side must be greater than 16 feet.

The minimum length of the third side can be determined using the Triangle inequality theorem. This theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. The Triangle Inequality Theorem can be expressed by the following inequality: a + b > c, where a, b, and c are the lengths of the three sides of the triangle. In this case, we have two sides of 4 feet and 12 feet, so the inequality can be written as 4 + 12 > c, which simplifies to 16 > c. Solving for c yields c > 16, which means that the minimum length of the third side must be greater than 16 feet.

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