One kind of plant has only blue flowers and white flowers. According to a genetic model, the offsprings of a certain cross have a 0.75 chance to be blue-flowering, and a 0.25 chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised, and 142 turn out to be blue-flowering. We are interested in determining whether the data are consistent with the model or, alternatively, the chance to be blue-flowering is smaller than 0.75. For this question, find the appropriate test statistic.

The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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Answer:

Gucci is expensive

Step-by-step explanation:

Buy some gucci and any designer brand to flex at your friends.

Answer:

0.074

Step-by-step explanation:

convert 7.4% to a decimal.

By differentiation rules, the expression for the derivative of the function h(x) = u(x)^v(x), where u(x) = x² + 4 and v(x) = 5 · x is h'(x) = [(x² + 4)^(5 · x)] · [[(5 · x) / (x² + 4)] · (2 · x) + ㏑ (x² + 4) · 5].

In this question we find a differentiation rule for a function of the form h(x) = u(x)^v(x). Herein we find a function whose components are u(x) = x² + 4 and v(x) = 5 · x. First, determine the derivatives of u(x) and v(x):

u'(x) = 2 · x, v'(x) = 5

Second, substitute in the expression of the differentiation rule:

h'(x) = [u(x)^v(x)] · [[v(x) / u(x)] · u'(x) + ㏑ [u(x)] · v'(x)]

h'(x) = [(x² + 4)^(5 · x)] · [[(5 · x) / (x² + 4)] · (2 · x) + ㏑ (x² + 4) · 5]

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Answer:it might be A

Answer:

16/100 = 4/25

Step-by-step explanation:

4/10 * 4/10 = 16/100

The algebraic expression 18n - 45 is correct for the statement "45 less than the product of 18 and a number written as an algebraic expression"

We can represent an unknown number using letters and then carry out basic mathematics operations to get the value of the unknown number.

Let us represent the unknown number with the letter "n"

The product of 18 and the number will be;

18 × n = 18n

45 less than the product of 18 and the number (n) is thus written algebraically as;

18n - 45

Therefore, 45 less than the product of 18 and a number(n) is written as an algebraic expression as 18n - 45.

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If an auto body shop repaired 22 cars and trucks and there were 8 fewer cars than trucks, 15 trucks were repaired.

Let's assume the number of trucks repaired is "x". We know that the total number of cars and trucks repaired is 22. Since there were 8 fewer cars than trucks, the number of cars repaired must be x-8. Therefore, we can set up the following equation:

x + (x-8) = 22

Simplifying, we get:

2x - 8 = 22

Adding 8 to both sides:

2x = 30

Dividing by 2:

x = 15

We can check this by plugging x back into the equation and verifying that the number of cars repaired is 7, which is 8 fewer than 15.

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Answer: A. 14

Step-by-step explanation: It’s going by even numbers

Answer:

2x2x2x2x2, 32

Step-by-step explanation:

Basically just multiplying 2 by itself 5 times.

2x2=4

2x2x2=8

2x2x2x2=16

2x2x2x2x2=32

The labeled angles are both equal to c by the corresponding angles theorem.

Thus, a+b=c by the exterior angle theorem.

The equation that have the same value of x as Three-fifths (30 x minus 15) = 72 will be 18x - 9x = 72

It should be noted that an equation simply means the relationship that exists between the variables.

It should be noted that the equation given is:

3/5(30x - 15) = 72

3/5(30x) - 3/5(15) = 72

18x - 9x = 72

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Answer: 24

Step-by-step explanation:

The angles of a triangle add to 180 degrees, so:

\(62+82+x+12=180\\\\156+x=180\\\\x=24\)

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

I think its Yes!

Step-by-step explanation:

Hope this helps!!!

425 is the smallest sample size required when the percentage of pupils in the population who LOVE statistics.

Given that,

We have to find the smallest sample size required to determine the percentage of pupils in the population who LOVE statistics. With 99% confidence, the estimate should be within 5% of the true proportion. Assume that past research pegged that percentage at 20%.

p =  0.20

1 - p =  0.80

Margin of error = E = 0.05

At 99% confidence level

α= 1 - 99%  

α = 1 - 0.99 =0.01

α/2 = 0.005

Zα/2 = Z0.005 = 2.576

Sample size = n = (Zα / 2 / E )2 × p × (1 - p)

= (2.576 / 0.05)2 × 0.20 × 0.80

= 424.68

Sample size = n = 425

Therefore, 425 is the smallest sample size required when the percentage of pupils in the population who LOVE statistics.

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∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

To solve x:

1. Divide both sides of the equation into 2:

2. Use the next property to convert the exponent into a logarithm:

3. Multiply both sides of the equation by 7/2:

Answer:

Inverse of  \(- 5 x - 4 =\) \(\frac{x + 4}{5}\)

Step-by-step explanation:

Let y = -5x-4

Swap y and x

x = -5y -4

Solve for y

x+4 = -5y

\(y=- \frac{x + 4}{5}\)  which is the inverse

Answer:

a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.

Four components means that \(n = 4\)

Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so \(p = 0.8\)

a) Find the probability that exactly two of the four components last longer than 1000 hours.

This is \(P(X = 2)\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536\)

0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) Find the probability that the subsystem operates longer than 1000 hours.

It will operate if at least two compoents last longer than 1000 hours. So

\(P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536\)

\(P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096\)

\(P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096\)

\(P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728\)

0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

d.) T distribution's mean=0 and standard deviation=1 is not true. Instead, the t distribution has a mean of 0 and a standard deviation that varies based on the sample size and degrees of freedom

The t distribution is not similar to the z distribution in terms of its standard deviation. Unlike the standard normal distribution (z distribution), which has a mean of 0 and a standard deviation of 1, the t distribution has a mean of 0, but its standard deviation varies depending on the sample size. Specifically, the t distribution has heavier tails than the z distribution, which means it has more spread in the distribution and more extreme values are more likely to occur.

The t distribution's mean=0 and standard deviation=1 is not true, hence the proper response is d. The t distribution, on the other hand, has a mean of zero and a standard deviation that varies according to the sample size and degrees of freedom.

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0.48

Step-by-step explanation:

To find the gradient when given points, label one of the x points as X2 and the other x1 ( it could be anyone of them: 3 could be X2 and 6 x1 or vise versa) and do the same with the y points, doesn't matter which one is y2 or y1.

But bare in mind, if you used the first coordinate x as x1 you must used the y coordinate as the y1. you must use the same order. so if you used X2 for second coordinate use y2 for the y point of the second coordinate.

Now set up the formula: x2-x1/y2 -y1

=( 3-6)/((-1)-5.2/

=0.48

Answer:

65°

Step-by-step explanation:

The missing angle of the left hand side triangle is

180 - 78 - 38 =

180 - 116 = 64°

The bottom left angle of the right hand side triangle is

180 - 64 - 61 =

180 - 125 = 55°

The top angle of the right hand side triangle is 60°, by vertical angle theorem.

The missing angle is:

180° - 55° - 60°=

180° - 115° = 65°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

65°

Step-by-step explanation:

First find the angle in the triangle by

78+38 =116 then subtract it by 180 gives 64

after add 64 with 61 gives 125 then again subtract it from 180 again which gives you 55

And as you can already see that 60° side at the top is same with the inner angle, so from there you

55° + 60° = 115°

180°- 115° = 65°

The selling price of the item at 10% marlkup is $55

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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Step-by-step explanation:

For conversion to polar form from Cartesian:

x=rcosθ,y=rsinθ

x²+y²=ax

⟹r²cos²θ+r²sin²θ=ar cosθ

⟹r²=ar cosθ

⟹r=a cosθ

The polar form of the equation will be expressed as \(rcos\phi =-1\). Option C is correct.

The rectangular coordinate of an equation is (x, y).

Resolving the x-coordinate and y-coordinate along the horizontal and vertical respectively will give:

The angle is the angle between the radius and the x and y-axis. Hence the transformation of rectangular to polar coordinates will be:

\((x,y)\rightarrow (rcos \phi, rsin\phi)\)

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Answer:

that is so ez but i cant help u cheat in your exam

9514 1404 393

Answer:

  A.  x^2 +(y -7)^2 = 625

  B.  S'(39, 20)

  C.  P'(19, 35)

  D.  C'(56.5, 17.5)

Step-by-step explanation:

Part A: The infinite number of points with those coordinates will be the solutions to the equation of a circle centered at Q with radius 25. The standard form equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

For (h, k) = (0, 7) and r=25, the equation for the points of interest is ...

  x^2 +(y -7)^2 = 625

__

Part B: It is useful to recognize ΔROQ as a right triangle with sides that are the Pythagorean triple (7, 24, 25). (You can figure side RO using the Pythagorean theorem if you're not familiar with this triple.) This means the coordinates of R are (24, 0) and the horizontal distance to the line x=39 is 39-24=15 units.

If we name point X(39, 0), then triangle RXS' has sides RX = 15 and RS' = 25. We recognize these as a multiple of the Pythagorean triple (3, 4, 5), so we know that XS' = 20, (Again, you can figure this using the Pythagorean theorem if you're not familiar with the relevant triples.)

The coordinates of S' are (39, 20).

__

Part C:

Point S' is 15 right and 20 up from R. A vector at right angles to RS' will have the coordinates swapped, and one of them negated. Point P' will be 20 left and 15 up from point S', so ...

  P' = S' +(-20, 15) = (39, 20) +(-20, 15) =

  P' = (19, 35)

__

Part D: After rotation, the center (C) of the square is the midpoint of RP', so is ...

  C = (R +P')/2 = ((24, 0) +(19, 35))/2 = (43, 35)/2 = (21.5, 17.5)

Reflection over the line x=39 is accomplished by the transformation ...

  (x, y) ⇒ (2·39 -x, y)

  C(21.5, 17.5) ⇒ C'(78 -21.5, 17.5) = C'(56.5, 17.5)