can someone help me solve this equation please !!

According to the information given, the correct hypotheses for a one-sample z-test for a population proportion p are:

\(H_0: p = 0.9\)

\(H_1: p < 0.9\)

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x =(-1-√-3)/2=(-1-i√ 3 )/2= -0.5000-0.8660i

x =(-1+√-3)/2=(-1+i√ 3 )/2= -0.5000+0.8660i

x = 1

x = 0

Answer:

K(x,y) →K'(-x, y-7)     (B)

Step-by-step explanation:

Answer:

The answer to your problem is,

Arc de Triomphe:

Step-by-step explanation:

Depends which arc you are talking about I will do the:

Arc de Triomphe

Measurements

164 feet (50 metres)

high and 148 feet (45 metres) wide

It all depends on which arc

Thus the answer to your problem is,

Arc de Triomphe:

The end behavior of the function is as x → -∞, f(x) → -∞ and s x → +∞, f(x) → +∞.

The nature of the value when the function parameter gets closer to +∞ and - ∞ is the end behavior of a function. The term with the highest degree determines how a polynomial function will behave in the end.

Look at the polynomial function's leading term to identify its final behavior. The leading term will dominate the graph because it has the highest power and will therefore grow much more quickly than the other terms as x gets very large or very small.

The given function is f(x) = 7x⁷ + 12x⁵ - 6x³ + 2x - 18

Graph the function. From the graph, the end behavior of the function is given as

As x → -∞, f(x) → -∞

As x → +∞, f(x) → +∞

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The reason that despite taking 1 hour and 40 minutes to fill a single bottle, bacteria took only ten minutes to fill another three bottles is:

c. Once the container is filled, the cells filled in that bottle get multiplied simultaneously causing additional three bottles to get filled in just a small duration of ten minutes.

This is because the process of bacterial multiplication, binary fission, allows for rapid growth and expansion once the initial population has been established.

As more cells are present, the rate of multiplication increases, allowing for faster filling of subsequent bottles.

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Answer:

20 caramel apples are covered with sprinkles

Step-by-step explanation:

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.

Let the Total fraction of caramel apples = 1

1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles

Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )

LCM of denominator = 30

= 1 - (6 + 10 + 9/30)

= 1 - 25/30

= 5/30

= 1/6

How many caramel apples are covered with sprinkles

This is calculated as :

Fraction of caramel apples covered in sprinkles × Total number of caramel apples

= 1/6 × 120

= 20 caramel apples covered in sprinkles.

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer:

513100

Step-by-step explanation:

(5.13 * 100)(1 * 100)=513100

There is pair of parallel sides, so area of the figure is 24 square units

The figure has 1 pair of parallel sides and is therefore a trapezium.

The area (A) of a trapezium is calculated as

Area = 1/2(Base 1 + Base 2)height

=1/2(4+4)6

=1/2(8)6

=48/2

=24 square units

Hence, the area of the given figure is 24 square units

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The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

120 cubic cm

Step-by-step explanation:

formula is b*h. the base can be found by l*w/2. the area of the base is 12. 12*10 is 120 cm

Answer:

\(120 cm^3\)

Step-by-step explanation:

area of triangular base times the height will give the volume

(1/2 × 6 × 4)(10)

12×10 = \(120 cm^3\)

Answer:

= pi/3 is 12.

Step-by-step explanation:

Part A: To find the polar coordinates of the point P, we can use the conversion formulas:

x = r cos(theta)

y = r sin(theta)

We can rewrite the equation of the curve as:

x^2 + y^2 + 24x = 0

(x + 12)^2 + y^2 = 144

This is the equation of a circle with center (-12, 0) and radius 12. The point P is on this circle, with coordinates (-12, 12). To convert these Cartesian coordinates to polar coordinates, we can use:

r = sqrt(x^2 + y^2)

theta = arctan(y/x)

Substituting the coordinates of P, we get:

r = sqrt((-12)^2 + 12^2) = 12 sqrt(2)

theta = arctan(12/-12) = -pi/4 (since P is in the second quadrant)

Therefore, the polar coordinates of P are (r, theta) = (12 sqrt(2), -pi/4).

Part B: To find the polar form of the equation, we can first complete the square to rewrite it as:

x^2 + y^2 + 24x = 0

(x + 12)^2 - 144 + y^2 = 0

(x + 12)^2 + y^2 = 144

This is the equation of a circle with center (-12, 0) and radius 12, in Cartesian form. To convert this to polar form, we can use the conversion formulas:

x = r cos(theta)

y = r sin(theta)

Substituting and simplifying, we get:

(r cos(theta) + 12)^2 + (r sin(theta))^2 = 144

r^2 + 24r cos(theta) = 0

r = -24 cos(theta)

Therefore, the polar form of the equation is r = -24 cos(theta). This is the equation of a cardioid, a type of polar curve with a cusp at the origin.

Part C: To find the distance from the origin when theta = pi/3, we can substitute this value into the polar form:

r = -24 cos(pi/3) = -12

However, distance is always non-negative, so we take the absolute value to get:

| r | = 12

Therefore, the distance from the origin when theta = pi/3 is 12.

(Refrence to Chatgpts work)

Answer:

Step-by-step explanation:

Part A: To convert from rectangular coordinates to polar coordinates, we use the formulas:

r^2 = x^2 + y^2

tan(theta) = y/x

We can rewrite the equation of the curve as:

x^2 + 24x + y^2 = 0

Completing the square in x, we get:

(x + 12)^2 + y^2 = 144

So, r^2 = 144 and r = 12. To find theta, we use the formula:

tan(theta) = y/x

tan(theta) = 12/(-12)

theta = atan(-1) + pi

So, the polar coordinates of P are (12, 5pi/4).

Part B: To convert the equation to polar form, we use the formulas:

x = r cos(theta)

y = r sin(theta)

Substituting these into the equation of the curve, we get:

r^2 + 24r cos(theta) = 0

r = -24 cos(theta)

This is the polar form of the equation. This is a circle centered at (-12, 0) with radius 12.

Part C: To find the distance when theta = pi/3, we substitute this value into the polar equation:

r = -24 cos(pi/3)

r = -12

So, the distance is 12.

Complete question :

Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.

A) y − 0.13y

B) 1.08(0.87y)

C) 0.08(0.87y)

D) y − 0.87y + 0.08y

Answer:

1.08(0.87y)

Step-by-step explanation:

Let initial cost = y

Cost on sale = 13% off

Discounted price = y - 0.13y = 0.87y

Sales tax on purchase = 8%

Sales tax is ade d to the purchase price of item, hence ;

Sales tax = 1 + 0.08 = 1.08

The final cost of card is:

Sales tax * discounted price

1.08 * 0.87y

1.08(0.87y)

The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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V = 4/3 r3, where V is the volume and r is the radius, is the formula for a sphere's volume. A sphere's radius is equal to half of its diameter.

Given data :

radius = 3x²

volume of sphere =  V = 4/3 π r³

v = 4 x π x (3x²)\({3}\) / 3

= 4π.\(x^{5}\)

volume of cube = side3

= (x²)\(^{3}\)

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Answer:

overlapping congruent triangles:

ΔACE ≅ ΔBCD

Proof:

given: AC ≅ BC, angle A ≅ angle B

angle ACB ≅ angle BCA by the reflexive property

ΔACE ≅ ΔBCD by the ASA triangle congruence property

Answer:

17/24 or 0.708333

Step-by-step explanation:

hope that helps :)

Answer:

y-2=-6(x-1)

Step-by-step explanation:

Answer:

y=-6x+8

Step-by-step explanation:

Probability distribution is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.

What is Probability ?

What is the probability of each value of a discrete random variable?

The probability P(x) that a discrete random variable X will take the value x in one trial of the experiment is connected to each possible value x of the variable.

Which is a discrete random variable?

What is the other name of mean of discrete random variable?

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Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

Both M and S in sexagesimal notation = 3600D.

Here converting 'D' into minutes.

We know that a degree is made up of 60 minutes.

so multiply D with 60 we get

⇒ D x 60 = M

Now convert 'M' into seconds.

Again, there are 60 seconds in a minute,

so multiply M with 60 we get,

⇒ M x 60 = S

Simplify this equation by substituting D x 60 for M,

⇒D x 60 x 60 = S

Simplifying further, we get,

⇒ 3600D = S

Hence, 3600D is equal to both M and S in sexagesimal notation.

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To solve this question, let's choose the substitution method. So, you can follow the steps to find x and y.

Step 1: Isolate x in the first equation.

To isolate x:

First, subtract 6y from each side of the equation.

Second, divide both sides by 3.

Step 2: Substitute x by -2y in the second equation.

Step 3: Isolate y in the equation found in step 2.

To isolate y:

First, subtract 2y from both sides of the equation.

Second, divide both sides by -10.

Step 4: Find x by using the relation found in step 1.

Use the equation found in step 1 and substitute y by 1.

Answer:

x = -2 and y = 1

or

(-2, 1)

1.7829165e+16

Step-by-step explanation:

Answer:9 red

Step-by-step explanation:

The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The base case for which the inductive proof for p(n) is defined, is the smallest value of n for which p(n) is defined.

Mathematical induction refers to a strategy for demonstrating a theorem's correctness by first demonstrating that, if it holds true in one particular situation, it will also hold true in all subsequent cases in the series.

Now,

Hence, the base case for which the inductive proof for p(n) is defined, is the smallest value of n for which p(n) is defined.

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