Verify that the given segments are parallel.

Total number of rabbits produced in 9 years will be 45.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a rabbit can produce 5 new rabbits per year

Total number of rabbits produced in 9 years will be -

n = 5y = 5 x 9 = 45 new rabbits

Therefore, total number of rabbits produced in 9 years will be 45.

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The best description for this distribution is bimodal.

What is the Bimodal ?

Bimodal is a term used in statistics to describe a distribution with two modes, or peaks, in the frequency of occurrence of the values.

The distribution of the values: 3, 3, 5, 4, 3, 2, 5, 6, 5, 1 is best described as:

c. Bimodal

Bimodal means that the distribution has two modes, or peaks, in the frequency of occurrence of the values. In this case, the values 3 and 5 both have a high frequency of occurrence, forming two distinct modes in the distribution.

Therefore, the best description for this distribution is bimodal.

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The value of the angle x is 30 degrees

To determine the value of the variable x, we need to know the triangle sum theorem.

The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.

We should also note that angle at right angle is 90 degrees

Then, we have the angles written as;

90 degrees

2x degrees

x degrees

Equate the angles , we have;

2x + x + 90 = 180

collect the like terms, we have;

2x + x = 180 - 90

add or subtract the like terms, we have;

3x = 90

divide by the coefficient

x = 30

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Answer:

67,72,77, etc.

Step-by-step explanation:

You just add 5 each time to your number.

Answer:

67,72,77,82,87,92,97,102,107

Step-by-step explanation:

you add 5 each number

The steps to conduct the steps of hypothesis testing on these data are:

The hypothesis will be:

Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students  who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.

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Answer:

option C: 120

Step-by-step explanation:

total marks = 5× 100 = 500

marks he obtained = 380

marks he lost = 500 - 380 = 120

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Answer:

The answer is 5 times

Step-by-step explanation:

First, we need to read the change in price in 2000 and 2007, from the graph.

So, the change in price in 2000 was $0.14 and in 2007 it was $0.71.

Now, we do the same thing we always do when comparing two values - we divide them. So:

0.71 / 0.14 = 5.07

Of course, we could multiply these values with 100, in order to avoid decimal numbers. Then we would get:

71 / 14 = 5.07

We could also divide this in the form of fractions:

71/100 / 14/100 = 5.07

There are several ways we could divide rational numbers, but the result will always be the same.

Change in price in 2007 was around 5 times greater than the change in 2000.

I hope this helps!!;-)

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

Answer:

The probability that the system is a Wii console is 0.46

Step-by-step explanation:

Probability expresses the possibility of an occurrence of an event. The probable outcomes for the event is called sample space.

For the given question,

Number of Sony Playstations = 6

Number of Nintendo Wii consoles = 5

Total number of games on the shelve = 11

Probability that the game selected is Wii console implies the possibility of picking one out of the 5 consoles.

pr(the system is a Wii console) = \(\frac{5}{11}\)

                                                   = 0.4555

                                                   ≅ 0.46

The probability that the system is a Wii console is 0.46.

Answer:

\(l = \frac{P}{2} - w\)

Step-by-step explanation:

\(P= 2(l+w)\)

\(\frac{P}{2} = l +w\)

\(l = \frac{P}{2} - w\)

When a force is applied to an object, the mass of the  object rounded to the hundredths place is 0.79 kilograms.

Given the following data:

To find the mass of object B:

First of all, we would solve for the force acting on the two objects.

Translating the statement into an inverse expression, we have;

\(F = \frac{a}{m^2}\)

Substituting the values into the equation, we have:

\(F = \frac{4}{5^2}\\\\F = \frac{4}{25}\; Newton\)

Next, we would determine the mass of object B;

\(\frac{4}{25} = \frac{0.1}{B^2}\)

Cross-multiplying, we have:

\(4B^2 = 25\) × \(0.1\)

\(4B^2 = 2.5\\\\B^2 = \frac{2.5}{4} \\\\B^2 = 0.625\\\\B = \sqrt{0.625}\)

Mass B = 0.79 kg

Therefore, the mass of the  object rounded to the hundredths place is 0.79 kg.

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Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:

Corresponding angles: ∠1 ≅ ∠5.

Alternate interior angles: ∠4 ≅ ∠6.

Alternate exterior angles: ∠2 ≅ ∠8

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:

∠1 ≅ ∠5

By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:

∠4 ≅ ∠6

By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:

∠2 ≅ ∠8

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Answer:

The probability is  \(P( X > 39000) =0.01\)

Step-by-step explanation:

From the question we are told that

   The mean is  \(\mu = \$ 32000\)

    The standard deviation is \(\sigma = \$ 3000\)

Generally the probability that they make more than $39,000 is mathematically represented as

         \(P( X > 39000) = P( \frac{X - \mu }{\sigma } > \frac{39000 - 32000}{3000} )\)

 \(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

          \(P( X > 39000) = P(Z > 2.33 )\)

From the z table  the area under the normal curve to the right corresponding to  2.33  is      

         \(P(Z > 2.33 ) = 0.01\)

So

         \(P( X > 39000) =0.01\)

The probability they make more than $39,000 is 1%

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

\(z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation\\\\Given \ that:\\\\\mu=32000,\sigma=3000.For\ x>39000:\\\\z=\frac{39000-32000}{3000}=2.33\)

From the normal distribution table:

P(x > 39000) = P(z > 2.33) = 1 - P(z < 2.33) = 1 - 0.9901 = 0.0099 = 1%

Therefore the probability they make more than $39,000 is 1%

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Answer:

x= - 52

Step-by-step explanation:

we need to multiply  both sides by 4 to leave the x alone

so

\(\frac{-x}{4} *4= 13*4\\-x= 52\\\frac{-x}{-1}=\frac{52}{-1}\\ x=-52\)

Answer: 122 ft

Step-by-step explanation:

s = r Ф   (Ф must be in radians)

Given: r = 50

          Ф = 140°

                 \(\dfrac{\pi}{180^o}=\dfrac{x}{140^o}\)  

                 \(\dfrac{140^o\pi}{180^o}=x\)

                     \(\dfrac{7\pi}{9}=x\)

\(s=50\bigg(\dfrac{7\pi}{9}\bigg)\\\\\\.\quad =\dfrac{350\pi}{9}\\\\\\.\quad =122\ ft\)

Answer:

statistics are when data analyzed in order to make decisions about the population behind the data.

The correct answer to the question is Statistics (Option D).

What is statistics?

Statistics is a field of study in mathematics which deals with raw data. It is a tool which refines the data to produce meaningful results and a pathway to better understanding of it.

Some examples of raw data can be population sample which loves to see a particular TV show or a sample of students getting so and so marks in Math test.

Data is analyzed mainly by three different measure of central tendency that is mean, median and mode.

Therefore, Statistics the correct answer.

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Answer:

29.25

Step-by-step explanation:

First find the discount

45 *35%

45*.35

15.75

Subtract this from the original price

45-15.75

29.25

Answer:

-2.1y + 12.9

Step-by-step explanation:

Answer:

12.9-2.1y

Step-by-step explanation:

Use the distributive property to multiply −0.5 by 12y−9.

8.4+3.9y−6y+4.5

Combine 3.9y and −6y to get −2.1y.

8.4−2.1y+4.5

Add 8.4 and 4.5 to get 12.9.

12.9−2.1y

Answer:

62500

Step-by-step explanation:

To multiply 250 and 25, we can first multiply the two numbers ignoring their zeroes and then add the zeroes back in the product.

250 multiplied by 25 is:

25 × 25 = 625 (ignoring the zeroes)

250 × 25 = 62500 (adding the zeroes back in)

Therefore, 250 multiplied by 25 is equal to 62500.

The solutions to the equation 8x^3 - 1 = 0 are x = 1/2, x = (-2 + 2√2i)/8, and x = (-2 - 2√2i)/8.None of the given Values is NOT a solution of the equation.

The solution(s) of the equation 8x^3 - 1 = 0, we need to determine the values of x that satisfy the equation. We can solve this equation by setting it equal to zero and factoring:

8x^3 - 1 = 0

(2x)^3 - 1^3 = 0

(2x - 1)(4x^2 + 2x + 1) = 0

Now we can find the values of x that make each factor equal to zero:

2x - 1 = 0

x = 1/2

4x^2 + 2x + 1 = 0

Using the quadratic formula, we can solve for x and find two additional solutions:

x = (-2 ± √(-8))/8

x = (-2 ± 2√2i)/8

Therefore, the solutions to the equation 8x^3 - 1 = 0 are x = 1/2, x = (-2 + 2√2i)/8, and x = (-2 - 2√2i)/8.None of the given values is NOT a solution of the equation.

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Answer:t=10.05s

Step-by-step explanation:

The total ounces she needs to make her recipes is 22 ounces

From the question, we are to determine how many total ounces Marni needs to make her recipe

From the given information,

Marni has 24 ounces of walnuts

Also,

She needs 14 ounces for one recipe

and

1/2 pounds for another

First, we will convert 1/2 pounds to ounces

NOTE: 1 pound = 16 ounces

∴ 1/2 pound = 8 ounces

Then, we can rewrite that

She needs 14 ounces for one recipe

and

8 ounces for another

The total ounces she needs to make her recipes = 14 ounces + 8 ounces

The total ounces she needs to make her recipes = 22 ounces

Hence, the total ounces she needs to make her recipes is 22 ounces

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Solution

Step 1

The slope of a function is given by the derivative of the slope.

Step 2:

Final answer

Slope = 7

Answer:

Your answer is correct

Step-by-step explanation:

Use the rules of exponents to simplify the expression.

To raise a power to another power, multiply the exponents.

Multiply 6 by 2.

The correct option is the third.

Answer:

\(\displaystyle \lim_{x \to 2} \frac{x}{f(x)+1} = +\infty\)

Step-by-step explanation:

From the graph, we can see that:

\(\displaystyle \lim_{x \to 2} f(x)= -1\)

From direct substitution, we have that:

\(\displaystyle \lim_{x \to 2} \frac{x}{f(x)+1}\Rightarrow \frac{(2)}{-1+1}\)

Evaluate:

\(\displaystyle = \frac{2}{0}=\text{Und.}\)

Saying undefined (or unbounded) would be correct.

However, note that as x approaches two, the value of y decreases in order to get to negative one. In other words, our function f will always be greater or equal to negative one (you can also see this from the graph). This means that as x approaches two, f(x) will approach -0.99, -0.999 and -0.9999 and so on until it reaches negative one and then go back up. Importantly, because of this, we can state that:

\(\displaystyle \lim_{x \to 2} \frac{x}{f(x)+1}=\frac{(2)}{-1+1} = +\infty\)

This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.

Answer:

272$

Step-by-step explanation:

You really should be clearer with your questions, but if your looking for the balance she has 272$