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Step-by-step explanation:

center   -4,0

(x- - 4)^2   + (y-0)^2

(x+4)^2 + y ^2  

   with radius 6/3

(x+4)^2 + y^2 =  ( 6/3)^2

(x+4)^2 + y^2 = 4

Answer:

what are the options in the scroll down options

vjzgxv. vjvjcvjkv. vjvkvkkb

The option that has the best insight of how to find the experimental probability of rolling a 3 is option A

A. To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.

An experimental probability is a probability based on real  or actual experiment, such that the result depends on the accuracy of the record of the occurrences during the experiment.

The result from the experiment is presented as follows;

Number  \({}\)                                Frequency

1  \({}\)                                           4

2  \({}\)                                          6

3  \({}\)                                          5

4  \({}\)                                          7

5  \({}\)                                         3

6  \({}\)                                         5

The probability of an event is the ratio of the number of possible outcome to the number of required outcome.

Therefore: The probability of rolling a three is the ratio of the frequency of an outcome of threes to the sum of the frequency of all the events.

The correct option from which the best details of finding an experimental  probability can be obtained is the option that states that the experimental probability of rolling a three is the ratio of the count of the number of times three occurs to the total number of trials, which is the frequency of rolling a three to the sum of all the frequencies in the experiment.

Mathematically, we get;

The probability of an event E, P(E) = \(\frac{Number\, of \, outcomes \, three}{Total \, number \, of \, outcomes}\)

Therefore

\(P(3) = \dfrac{Number\, of \, times \, three\, occurs }{Total\, number \, of \, trials} = \dfrac{Freqiuency\ of \ 3s }{Sum\ of \ ther \ frequencies}\)

\(P(3) = \dfrac{5}{4+6+5+7+3+5} =\dfrac{1}{6}\)

The correct option is option A

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Applying the Pythagorean theorem, the length of the missing side is: x ≈ 18.3 units.

The Pythagorean theorem that is applied to a right triangle with c as the longest side and a and b as the lengths of the other legs is expressed as:

c² = a² + b².

Apply the Pythagorean theorem to find the value of x, where:

a = x

b = 17

c = 25

Plug in the values:

25² = x² + 17²

625 = x² + 289

625 - 289 = x² + 289 - 289

336 = x²

x² = 336

x = √336

x ≈ 18.3 units

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An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

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(0.82 , 3.38) is estimate of the population mean weight loss for this diet in standard deviation.

What is standard deviation in math?

mean weight loss = 2.1lb

standard deviation = 4.8lb

sample size n = 40

std error = stdev/sqrt(n) = 4.8/sqrt(40) = 0.76

degrees of freedom = n - 1 = 39

critical value for alpha 0.10 and df 39 = +1.68

margin of error = critical value * std error = +1.68 * 0.76 = +1.28

confidence interval = sample mean + margin of error = 2.1 +1.28 = (0.82 , 3.38)

Yes it is effective since the values > 0mean weight loss = 2.1lb

standard deviation = 4.8lb

sample size n = 40

std error = stdev/sqrt(n) = 4.8/sqrt(40) = 0.76

degrees of freedom = n - 1 = 39

critical value for alpha 0.10 and df 39 = +1.68

margin of error = critical value * std error = +1.68 * 0.76 = +1.28

confidence interval = sample mean + margin of error = 2.1 +1.28 = (0.82 , 3.38)

Yes it is effective since the values > 0

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Answer:

2.) 2703

4.) 9

Step-by-step explanation:

2.)

5327 - 2624 = ?

We subtract from left to right to get;

(7 - 4 = 3) then (2 - 2 = 0) then carrying  1 from 5, (13 - 6 = 7) and (4 - 2 = 2)

So writing the answer;

2 then 7 then 0 then 3

i.e Answer = 2703

4.)

648 ÷ 72 = ?

72 × 10 = 720

So we must multiply 72 by a number less than 10 since 720 > 648

We should look for a number such that 2 in 72 times the number should give an answer with 8 in the end.

Such a number can be 9;

Manually multiplying 72 and 9 we get 648 and we are right!

The eye color of people on commercial aircraft flights is not a random variable.

What is random variable?

Random variables are variables that can take on different values based on the outcome of a random event or experiment.

However, eye color is a characteristic of individuals and does not vary randomly within a specific context, such as being on a commercial aircraft flight. Eye color is determined by genetic factors and does not change during a flight or as a result of being on a flight.

Eye color is a categorical variable that represents the color of an individual's eyes, such as blue, green, brown, or hazel. While it is not a random variable in the context of commercial aircraft flights, it can still be observed and recorded as a characteristic of the passengers on the flight.

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This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

Hence, This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

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Answer:

C

Step-by-step explanation:

Answer:

a

.

yw babes :)

Q1 If you averaged every person in the population, the result would be Mu, but the mean of a sample, or xbar, would be the average value discovered in the sample.

Q2 For the group being tested, each point in a sample distribution represents a potential outcome variable.

Q3 The random condition is very important because it simplifies the sample and prevent possible bias in the sampling.

Q4 To make sure that the observations in the sample are nearly independent, it is crucial to evaluate the 10% condition before calculating probability involving x.

Q5 The big counts criterion ensures that there are more successes than failures for a normally distributed set of results. The need for big numbers is np ≥10 and n(1-p) ≥10.

Q6 For a variety of reasons, finding unbiased estimates for those seeking asylum may be challenging. First, because of persecution, these people are escaping their country.

Q7 there is less spread for larger sample than that of lower sample.

The probability distribution of a statistic acquired from a bigger sample size taken from a certain population is known as the sampling distribution.

Based on the data they have available, sampling distributions are useful tools used by researchers to estimate and draw conclusions about a wider population of interest.

Q1 If you averaged every person in the population, the result would be Mu, but the mean of a sample, or xbar, would be the average value discovered in the sample.

Q2 For the group being tested, each point in a sample distribution represents a potential outcome variable.

Q3 The random condition is very important because it simplifies the sample and prevent possible bias in the sampling.

Q4 To make sure that the observations in the sample are nearly independent, it is crucial to evaluate the 10% condition before calculating probability involving x.

Q5 The big counts criterion ensures that there are more successes than failures for a normally distributed set of results. The need for big numbers is np ≥10 and n(1-p) ≥10.

Q6 For a variety of reasons, finding unbiased estimates for those seeking asylum may be challenging. First, because of persecution, these people are escaping their country.

Q7 there is less spread for larger sample than that of lower sample.

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Answer:

No, 4% is 620 light bulbs

Step-by-step explanation:

No, because 700 out of 15,500 is 4.5% not 4 %. 4% of 15,500 would be 620 light bulbs  

Answer:

Answer attached

Step-by-step explanation:

Midpoint of AB = (1,0)

Let's check

midpoint of AB

Answer:

10

Step-by-step explanation:

Since there are 2 people sitting alone, we can put them aside

then we have 8 large tables, each seat x number of guests

we would have total 8x guests there

so 8x+2=82

then solve

8x=80

x=10

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Answer:

1) 180 - (75 + 72) = 33

2) 180 - ((180 - 125) + 65) = 60

3) 180 - (180 - ((180 - 125) + 90)) = 145

4) 180 - (180 - (62 + 62)) = 124

In a trapezoid, the height is the perpendicular distance between the two parallel bases. It is usually denoted as "h".

In order to determine the height of a trapezoid, we need to know the lengths of the two parallel bases or have additional information about the trapezoid's dimensions.

The lengths of the bases of a trapezoid are crucial for calculating the height using various formulas. Without the lengths of the bases or any other relevant information, we cannot determine the height of the trapezoid.

To determine the height of a trapezoid, we need more information. The height of a trapezoid is typically defined as the perpendicular distance between the two parallel bases. In this case, we would need to know the lengths of the two parallel bases or have additional information about the trapezoid's dimensions. Without that information, we cannot determine the height of the trapezoid.

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Answer: 5 units

Step-by-step explanation:

Answer

From the origin, you would move left four and up 5

The streetlamp illuminates approximately B) 415.27 square meters of the street. So the correct option is (B) 415.27 square meters.

The area of a circle is given by the formula

\(A = \pi r^2,\)

where r is the radius of the circle. In this case, the diameter of the circle is given as 23 meters, so the radius is half of that, or 23/2 = 11.5 meters.

Using the formula for the area of a circle and approximating π as 3.14, we get:

\(A = 3.14 \times (11.5)^2\)

A ≈ 415.27

Therefore, the streetlamp illuminates approximately 415.27 square meters of the street. Rounded to the nearest hundredth, the answer is 415.27 \(m^2.\)

So the correct option is (B) 415.27 m2.

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Answer:

B) 415.27 square meters

Step-by-step explanation:

Step-by-step explanation:

The correct  answer and the correct option is A.

It is given that  DEFG is a parallelogram.

Draw the diagonals DF and EG. Place point H where DF and EG intersect.

In triangle HGD and HEF

∠HGD ≅ ∠HEF                            (Alternate Interior angle)

∠HDG ≅ ∠HFE                      (Alternate Interior angle)

By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.

DG ≅ EF                                      (Opposite sides of parallelogram)

According to ASA postulate, two triangles are congruent if any two angles and their included side are equal in both triangles.

So, by using ASA criterion for congruence we get,

ΔDGH ≅ ΔFEH

Since corresponding sides of congruent triangles are congruent, therefore

GH ≅ EH                      (CPCTC)

DH ≅ FH                     (CPCTC)

Option A is correct.

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Answer:

m∠WXY + m∠YXZ = 180

Step-by-step explanation:

happy to help.

a) formula for the mass of the sample that remains after t years is k = -ln(1/2) / 1600

b) the mass after 500 years is \(100 * e^{(-(-ln(1/2) / 1600) * 500)\)

c) t = ln(30/100) / k will the mass be reduced to 30 mg.

What is sample?

In statistics, a sample refers to a subset of individuals, items, or elements selected from a larger population. It is a representative subset of the population that is used to gather information and draw inferences about the entire population.

a) The decay of radium-226 follows an exponential decay model, where the mass remaining after a certain time is given by the formula:

\(m(t) = m(0) * e^{(-kt)\)

where:

m(t) is the mass remaining after time t

m(0) is the initial mass

k is the decay constant

To find the decay constant, we can use the half-life of radium-226, which is approximately 1600 years. The half-life is the time it takes for half of the initial mass to decay.

Using the half-life formula:

\((1/2) = e^{(-k * 1600)\)

Taking the natural logarithm (ln) of both sides:

ln(1/2) = -k * 1600

Solving for k:

k = -ln(1/2) / 1600

Now, we can substitute the value of k into the formula to find the mass remaining after a given time.

b) After 500 years:

\(m(500) = 100 * e^{(-k * 500)\)

Substituting the value of k:

\(m(500) = 100 * e^{(-(-ln(1/2) / 1600) * 500)\)

Calculating the approximate value of m(500) to the nearest milligram will require a calculator or software. Let's denote the result as m_500.

c) To find when the mass is reduced to 30 mg, we can set up the equation:

\(30 = 100 * e^{(-k * t)\)

Solving for t:

\(e^{(-k * t)} = 30 / 100\\\\-e^{(-k * t)} = -ln(30/100)\)

k * t = ln(30/100)

t = ln(30/100) / k

Substituting the value of k and calculating the approximate value of t will give us the time it takes to reach a mass of 30 mg.

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Answer: 4.125

Step-by-step explanation: just divide it but 4 and thats how i got it

Given the equations

x + y = 5----------------------(1)

x - 3y = 3-----------------------(2)

Subtract equation (2) from (1)

x - x -3y - y = 3 - 5

-4y = -2

Divide both -4

Substitute y = 1/2 into equation (1)

x + y = 5

Hence, the solution to the equations is

-7.4 degrees celsius is less than the temperatures Susan recorded.

To explain, temperatures are measured on a scale, with 0 degrees celsius being the point at which water freezes and 100 degrees celsius being the point at which water boils. A temperature of -7.4 degrees celsius is therefore less than the recorded temperatures of -7.4 and 1.8 degrees celsius.

The temperature is a measure of the thermal energy of a substance or system, and is typically measured on a scale, such as the Celsius scale or the Fahrenheit scale.

In other words, the number -7.4 is less than 1.8 and -7.4 on the scale of temperature, meaning that -7.4 degrees celsius is less than the temperatures Susan recorded.

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Answer:

-14°C

Step-by-step explanation:

Given that,

The mean temperature for the first 4 days in January was -4°C.

The mean temperature for the first 5 days in January was -6°C.

Mean = sum of observations/no. of observations

For first 4 days,

\(-4=\dfrac{S_4}{4}\\\\S_4=-16\ ...(1)\)

For first 5 days,

\(-6=\dfrac{S_4+T}{5}\\\\S_4+T=-30\ ..(2)\)

Let the temperature on 5th day is T. So,

Put S₄ = -16 in equation (2).

-16 + T = -30

T = -30+16

T = -14°C

So, the temperature on the 5th day is -14°C.

By this equation y = 1,716 - 112x he find that how much money he still owes after each month of the plan.

According to the statement

Jonathan bought a new computer for $1,716

He will pay $143 a month for 12 months.

Total amount he will for 12 months is 143(`12)

Now,

y = the money he still owes

x = the number of months (from x = 0 to x = 12)

y = 1,716 - 112x

So, By this equation y = 1,716 - 112x he find that how much money he still owes after each month of the plan.

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