a number is 2/3 of another number. if the sum of the two numbers is 30, find the smaller number.

Answer:

{–3, –1, 3, 4}

Step-by-step explanation:

Answer:

the following correctly identifies the set of outputs?

{−3, −1, 3, 4}

Step-by-step explanation:

The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either Success or Failure.

For p = 0.18, 0.50, and 0.82, to obtain the binomial probability distribution and a bar chart of each distribution, the following steps are to be followed:

First, use the binomial distribution formula, which is: P(x) = (nCx)(p)x(q)n-x,

Where: n is the number of trials, p is the probability of success on a single trial, q is the probability of failure on a single trial (q = 1 − p), and x is the number of successes.

Consequently, for p = 0.18, 0.50, and 0.82, the following probabilities were calculated:

n = 10,

p = 0.18,

q = 1 - 0.18 = 0.82,

and x = 0, 1, 2, ...,

10P(0) = 0.173,

P(1) = 0.323,

P(2) = 0.292,

P(3) = 0.165,

P(4) = 0.066,

P(5) = 0.020,

P(6) = 0.005,

P(7) = 0.001,

P(8) = 0.000,

P(9) = 0.000,

P(10) = 0.000n = 10,

p = 0.50,

q = 1 - 0.50 = 0.50,

and x = 0, 1, 2, ...,

10P(0) = 0.001,

P(1) = 0.010,

P(2) = 0.044,

P(3) = 0.117,

P(4) = 0.205,

P(5) = 0.246,

P(6) = 0.205,

P(7) = 0.117,

P(8) = 0.044,

P(9) = 0.010,

P(10) = 0.001n = 10,

p = 0.82,

q = 1 - 0.82 = 0.18,

and x = 0, 1, 2, ...,

10P(0) = 0.000,

P(1) = 0.002,

P(2) = 0.017,

P(3) = 0.083,

P(4) = 0.245,

P(5) = 0.444,

P(6) = 0.312,

P(7) = 0.082,

P(8) = 0.008,

P(9) = 0.000,

P(10) = 0.000

Bar chart of each distribution:  After calculating the probability distribution for each value of p, the following bar chart of each distribution was drawn.

The binomial probability distribution and the bar chart for each p-value, i.e., p = 0.18, 0.50, and 0.82, were obtained. The probability of success for each value of x was computed using the binomial distribution formula. The bar chart of each distribution helps in visualizing the probability distribution.

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Answer:

11in

Step-by-step explanation:

a^2+b^2=c^2  when c is the hypotenuse

10^2+sqrt21^2=c^2

100+21=c^2

121=c^2

11=c

Answer:

The other person had the best answer for your question but I think it might be c=9

Note: Your question sounds a little unclear, but I am assuming that your system of equations is:

\(-5x-\:\frac{3}{2}y=15\)

\(3x+\frac{5}{6}y=-\frac{44}{3}\)

Answer:

The solution of the system of equations be:

\(x=-\frac{57}{2},\:y=85\)

Step-by-step explanation:

Given the system of equations

\(-5x-\:\frac{3}{2}y=15\)

\(3x+\frac{5}{6}y=-\frac{44}{3}\)

solving the system of equations

\(\begin{bmatrix}-5x-\frac{3}{2}y=15\\ 3x+\frac{5}{6}y=-\frac{44}{3}\end{bmatrix}\)

\(\mathrm{Multiply\:}-5x-\frac{3}{2}y=15\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:-15x-\frac{9}{2}y=45\)

\(\mathrm{Multiply\:}3x+\frac{5}{6}y=-\frac{44}{3}\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:15x+\frac{25}{6}y=-\frac{220}{3}\)

so the system of equations becomes

\(\begin{bmatrix}-15x-\frac{9}{2}y=45\\ 15x+\frac{25}{6}y=-\frac{220}{3}\end{bmatrix}\)

adding the equations

\(15x+\frac{25}{6}y=-\frac{220}{3}\)

\(+\)

\(\underline{-15x-\frac{9}{2}y=45}\)

\(-\frac{1}{3}y=-\frac{85}{3}\)

so

\(\begin{bmatrix}-15x-\frac{9}{2}y=45\\ -\frac{1}{3}y=-\frac{85}{3}\end{bmatrix}\)

solving \(-\frac{1}{3}y=-\frac{85}{3}\) for y

\(-\frac{1}{3}y=-\frac{85}{3}\)

Multiply both sides by -3

\(\left(-\frac{1}{3}y\right)\left(-3\right)=\left(-\frac{85}{3}\right)\left(-3\right)\)

\(y=85\)

\(\mathrm{For\:}-15x-\frac{9}{2}y=45\mathrm{\:plug\:in\:}y=85\)

\(-15x-\frac{9}{2}\cdot \:85=45\)

\(\mathrm{Add\:}\frac{765}{2}\mathrm{\:to\:both\:sides}\)

\(-15x-\frac{765}{2}+\frac{765}{2}=45+\frac{765}{2}\)

\(-15x=\frac{855}{2}\)

\(\mathrm{Divide\:both\:sides\:by\:}-15\)

\(\frac{-15x}{-15}=\frac{\frac{855}{2}}{-15}\)

\(x=-\frac{57}{2}\)

Therefore, the solution of the system of equations be:

\(x=-\frac{57}{2},\:y=85\)

Answer:

Step-by-step explanation:

Given "Two triangles that have three pairs of proportional sides are always similar."

Triangle 1: 18, 24, 36

Triangle 2: 16, 18, 24

16/18 = 8/9

18/24 = 3/4

24/36 = 2/3

So the three pairs of sides are not proportional and the triangles are not similar.

No as

One ratio is unsimilar so triangles are not similar

The real values of $c$ for which $4x² + 14xc + c$ is the square of a binomial are $c = 0$ and $c = \frac{4}{49}$.

To determine the real values of $c$ for which the expression $4x² + 14xc + c$ is the square of a binomial, we need to find the conditions under which it can be factored as $(ax + b)²$, where $a$ and $b$ are constants.

Expanding $(ax + b)²$, we have $(ax + b)² = a²x² + 2abx + b²$. Comparing this with $4x² + 14xc + c$, we can set up the following equations:

$a² = 4$ (equating the coefficients of $x²$)

$2ab = 14c$ (equating the coefficients of $x$)

$b² = c$ (equating the constant terms)

From the first equation, we find that $a = \pm 2$. Substituting this value into the second equation, we have:

$2(\pm 2)b = 14c$

$\Rightarrow \pm 4b = 14c$

$\Rightarrow b = \pm \frac{14c}{4}$

$\Rightarrow b = \pm \frac{7c}{2}$

Finally, substituting the values of $a$ and $b$ into the third equation, we get:

$\left(\pm \frac{7c}{2}\right)² = c$

$\Rightarrow \frac{49c²}{4} = c$

$\Rightarrow 49c² = 4c$

$\Rightarrow 49c² - 4c = 0$

$\Rightarrow c(49c - 4) = 0$

Now, we can solve this equation to find the values of $c$:

$c = 0$: This is one possible solution.

$49c - 4 = 0 \Rightarrow 49c = 4 \Rightarrow c = \frac{4}{49}$: This is another possible solution.

Therefore, the real values of $c$ for which $4x² + 14xc + c$ is the square of a binomial are $c = 0$ and $c = \frac{4}{49}$.

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Answer: n=8

Step-by-step explanation:

1. Subtract 4.4n on both sides:

2n-10=6

2. Add 10 on both sides:

2n=16

3. Divide both sides by 2:

n=8

Have a nice day :D

Answer:

12 x 12 = 144

Step-by-step explanation:

12 times by 12 is 144

Answer:

Step-by-step explanation:

g(x) = x^3 is the parent function starting at the origin (0,0)

f(x) is the translation of the g(x).

Your teacher taught you that y = (x - h)^3 + k

(h,k) is your shift.

(8,4) meaning right 8 on the x-axis and 4 up on the y-axis.

sin(55°) + sin(5°) = sin(65°) using a sum-to-product formula for sine

We can use the sum-to-product formula for sine to show that sin(55°) + sin(5°) = sin(65°). The formula is:

sin A + sin B = 2 sin[(A + B)/2] cos[(A - B)/2]

Substituting A = 55° and B = 5°, we get:

sin(55°) + sin(5°) = 2 sin[(55° + 5°)/2] cos[(55° - 5°)/2]

Simplifying, we get:

sin(55°) + sin(5°) = 2 sin(30°) cos(25°)

We know that sin(30°) = 1/2 and cos(25°) = sin(90° - 25°), so we can substitute these into the expression:

sin(55°) + sin(5°) =  sin(90° - 25°)

We also know that sin(90° - 25°) = sin(65°), so we can substitute this into the expression:

sin(55°) + sin(5°) = sin(65°)

Therefore, sin(55°) + sin(5°) = sin(65°) using a sum-to-product formula for sine.

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Given question is incomplete, the complete question is below

Show that sin(55°) + sin(5°) = sin(65°)

use a sum-to-product formula for sine and simplify

A visual representation of data where numbers on the left side of a chart show one part of each value and numbers on the right side of the chart show the other is called a bar chart. A bar chart is a chart that uses rectangular bars to represent different values or categories. Each bar has a length that represents a value or a category. The left side of the chart is called the y-axis, or the vertical axis, and the right side of the chart is called the x-axis, or the horizontal axis. The x-axis typically shows the categories, and the y-axis shows the values of those categories. The height of each bar represents the value of the data point, with the height on the y-axis and the categories on the x-axis. This type of graph is useful for comparing the relative sizes of different groups or categories, as well as spotting trends and patterns.

By finding the quotient between the volumes, we will see that 24 books can be fit on the container, and by weight, the container can hold 20 books.

Remember that the volume of a rectangular prism of length L, width W, and height H is given by:

V = L*W*H

Then the volume of each book is:

V = 6in*2in*8in = 96 in^3

And the volume of the container is:

V' = 16in*12in*12in = 2,304 in^3

The number of books that fit in the container is given by:

N = V'/V = 2,304 in^3/96 in^3 = 24

Each book weighs 2 pounds, and the container can hold 40 pounds, then we need to solve the linear equation:

2*x = 40

To get the maximum number of books that the container can hold:

x = 40/2 = 20

x = 20

The container can hold a maximum of 20 books.

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y intercept is where x=0 or the initial value

which is 60 because we gots

y=60(1)

y=60

y intercept is at y=60

8 years is x=8

y=82.114

round

y=82.11

answer:

y intercept is y=60

after 8 years, has $82.11

Answer:

$7000

Step-by-step explanation:

14 didvided by 2 would be seven but you add the 0s and the wuold be 7000

The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

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When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

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The arc length of the semicircle with a diameter of 10 is is 15.7 units

From the question, we are to determine the arc length of the semicircle when the diameter is 10

The length of an arc is given by the formula

Length = θ/360° × 2πr

Where θ is the angle subtended by the arc at the center

and r is the radius of the circle

The angle subtended by a semicircle at the center of the circle is 180°.

Therefore,

θ = 180°

Also,

Diameter = 10

That means

Radius = 10/2

Radius = 5

Thus,

Arc length of the semicircle = 180°/360° × 2π × 5

Arc length of the semicircle = 1/2× 2π × 5

Arc length of the semicircle = 5π units

Arc length of the semicircle = 15.7 units

Hence,

The arc length is 15.7 units

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Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

18 divided by 6 equals 3

21 minus 3 equals 18

18 plus 3 equals 21

Answer: I think it’s A but I’m not really good with square roots.

Step-by-step explanation:

The answer is (D), the function has at least one zero in the set of complex numbers, is correct.

What is the polynomial function?

A polynomial function is defined as a function in which the highest power of the independent variable is finite. The degree of a polynomial function is equal to the highest power of the independent variable.

In this case, the highest power of x is x^5, so the degree of the function is 5.

Therefore, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.

All polynomial functions have at least one zero in the set of complex numbers by the Fundamental Theorem of Algebra. The other answers (A), (B), and (C) are incorrect.

Hence, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.

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Answer:

choice c

Step-by-step explanation:

y axis shows value of computer

v-intercept; x axis = 0

show initial value of the computer

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

x=49

y=63

Step-by-step explanation:

Answer:

x=49

y=63

Step-by-step explanation:

Answer:

136 in

Step-by-step explanation:

Area = 1,156 in² = side x side

Side = √1,156 = 34 in

Perimeter = 4 x side = 4 x 34 = 136 in

Hey there!

3² + 4² - 9 + (3 × 2)

= 9 + 16 - 9 + (6)

= 25 - 15

= 10

Hope it helps ya!

Hi!

I can help you with joy!

\(3^{2}\)+\(4^{2}\)-9+(3*2)

\(3^{2}+4^{2}-9(6)\)

\(3^{2} +4^{2} -9+6\)

\(9+16-15\\ \\10\)

\(*GentleGirlie*\)

Answer:

0.4 or 0.40

Step-by-step explanation:

There are 10 total numbers. 4 of them are in set B.

So, 4/10 are in set B.

The probability is 0.4 because 4 divided by 10 is 0.4.

Answer:

harddd

Step-by-step explanation:

Answer:

Just subtract 155 from 15 and divide that number what you got from 155 - 15 and divide it to 35.

Step-by-step explanation:

I dont know how much months are there so how much months you divide it from 35.

Answer:

A,b and d

Step-by-step explanation: