A college Statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. That survey drew its sample in the following manner: Telephone numbers were generated at random by selecting one of the local telephone exchanges (first three digits) at random and then generating a random four-digit number to follow the exchange. If a person answered the phone and the call was to a residence, then that person was taken to be the subject for interview. (Undergraduate students and those under voting age were excluded, as was anyone who could not speak English.) Calls were placed until a sample of 200 eligible respondents had been reached.

Required:
a. Did every telephone number that could occur in that community have an equal chance of being generated?
b. Did this method of generating telephone numbers result in a simple random sample (SRS) of local residences? Explain.
c. Did this method generate an SRS of local voters? Explain.
d. Is this method unbiased in generating samples of households? Explain.

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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It will take approximately 8.53 years for the car to be worth $10,000, assuming a constant annual depreciation rate of 12%.

To model the depreciation of Manny's car, we can use the method for exponential decay:

\(y = a(1 - r)^t\)

Wherein:

In this situation, we've:

Substituting those values into the method, we get:

 \($10,000 = $28,750(1 - 0.12)^t\)

Dividing each aspects by $28,750, we get:

\(0.3478 = (0.88)^t\)

Taking the logarithm of both facets (base 10), we get:

\(log(0.3478) = t*log(0.88)\)

Solving for t, we get:

\(t = log(0.3478)/log(0.88)\)

= 8.53 (rounded to two decimal locations)

Consequently, it'll take approximately 8.53 years for the car to be worth $10,000.

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Answer:

8.26 years

Step-by-step explanation:

To model the depreciation of the car over time, we can use an exponential decay function in the form:

\(\large{\boxed{V(t) = V_0(1 - r)^t}\)

where:

Given values:

Substitute these values into the formula and solve for t:

\(V(t) = V_0(1 - r)^t\)

\(10000=28750(1-0.12)^t\)

\(10000=28750(0.88)^t\)

\(\dfrac{10000}{28750}=(0.88)^t\)

\(\dfrac{8}{23}=(0.88)^t\)

\(\ln \left(\dfrac{8}{23}\right)=\ln (0.88)^t\)

\(\ln \left(\dfrac{8}{23}\right)=t\ln (0.88)\)

\(t=\dfrac{\ln \left(\dfrac{8}{23}\right)}{\ln (0.88)}\)

\(t=8.2611657...\)

Therefore, the car will be worth $10,000 after approximately 8.26 years, or about 8 years and 3 months.

Note: After 8 years, the car will be worth $10,339.49. After 9 years, the car will be worth $9,098.75. So the value of the car will reach $10,000 during the 9th year. Therefore, rounding up to 9 years may be more appropriate if the answer should be in whole years.

Answer:

x = 120 degress

Step-by-step explanation:

I can help with more, I have the answers.

Answer:

No

It could be purely due to chance.

Step-by-step explanation:

A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.

So it is not necessary for a population to have the same characteristics as the sample.

But it is essential for the sample to have at least one same characteristics as the population.

So we would not be correct in inferring that such a relationship also exists in the population.

It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.

For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.

It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.

Answer: 24 problems done before dinner

Step-by-step explanation:

Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner

Answer:

2 is really answer it is this question bro than ka for good point

Step-by-step explanation:

hello shreekant thanks 886A bubs 2 is answr

a) She can make 400 milliliters of the fizzy drink.

b) The change does not affect the greatest amount of drink.

We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.

If we divide the total amount of apple juice in 7 parts, then each part has:

280ml/7 = 40ml

Then we need 3 parts of 40ml of the lemonade, this is:

3*40ml = 120ml

Then the total amounf of drink fizz that she can make is:

280ml + 120ml = 400ml.

b) Now she has  160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.

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Answer:

Following are the solution to the question:

Step-by-step explanation:

\(Radius= 3\\\\center= (-4,4,1)\\\\x(t)=-4\\\\y(t)=4+3 \cos \ t\\\\z(t)= 1+ 3 \sin \ t\)

Check the picture below.

so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".

\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

The velocity is given by; V(t) = 24t^2 + 144t + 192

The time intervals are; t = 2 and t = 4

The acceleration is; a(t) = 44t + 144

The acceleration of a particle refers to the rate of change of its velocity over time. Mathematically, acceleration can be expressed as the derivative of velocity with respect to time, or a = dv/dt.

Where;

s(t) = 8t^3 + 72t^2 + 192t

V(t) = 24t^2 + 144t + 192

The velocity would be zero when we solve the quadratic and it gives us;

t = 2 and t = 4

The acceleration is;

a(t) = 44t + 144

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cmsee the figure below to better understand the problem

we have

AC=16 cm -------> OA=16/2=8 cm

BD=12 cm ------> OB=12/2=6 cm

Find out the value of x

Remember that

The area of the right triangle ABO is equal to

A=(1/2)(OB)(OA) ------> A=(1/2)(6)(8)=24 cm2

and the area of triangle ABO is equal to

A=(1/2)(AB)(x)

Find out the value of AB

Applying the Pythagorean Theorem

AB^2=OA^2+OB^2

AB^2=8^2+6^2

AB^2=100

AB=100

substitute

24=(1/2)(100)(x)

solve for x

24=50x

x=24/50

x=0.48 cm

The value of x is equal to the radius of the circle

so

the diameter is

D=2(0.48)

Answer:

Step-by-step explanation:

$100x0.5x1=$5

The most appropriate inference procedure for the researchers to use is this:

The best inference to use for the scenario described in the text is a matched pair t-interval for a mean difference. This form of testing is used in order to determine the differences between variables that occur within a specific subject.

So, in this instance, we are measuring the timed differences between the mice and associating this with their learned behavior. The matched pairs t-interval will help the researcher to accurately identify any changes with respect to time.

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Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:you know how to get it look it up :D

Step-by-step explanation:

Give me big brain plz

Answer:

337.5 in overtime and 600 in regular so 937.50 total

Answer:

$937.50

Step-by-step explanation:

"time and a half" means times 1.5.

he gets 1.5 times for overtime hours than what he normally gets for working hours.

normally he makes $15 per hour.

for overtime he makes 15×1.5 = $22.50 per hour.

Raul worked in that week 40 regular hours per $15, and he worked 15 overtime hours per $22.50.

so, his total earnings that week were

40×15 + 15×22.5 = 600 + 337.5 = $937.50

Answer:

B. There is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time.

Step-by-step explanation:

We are given that using traditional methods it takes 107 hours to receive an advanced flying license.

A researcher believes the new technique may reduce training time and decides to perform a hypothesis test.

Let \(\mu\) = average training time to receive an advanced flying license

So, Null hypothesis, \(H_0\) : \(\mu \geq\) 107 hours     {means that the new technique doesn't reduce training time}

Alternate Hypothesis, \(H_A\) : \(\mu\) < 107 hours     {means that the new technique may reduce training time}

Now, it is stated that after performing the test on 50 students, the researcher decides to reject the null hypothesis at a 0.10 level of significance.

As we know that if the test statistics value is rejected at a 10% level of significance, then it must not be rejected at the 0.02 level of significance.

This means that there is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time because our null hypothesis has not been rejected.

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

--------------------------------------------------------------------------------------------------------------------------

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

--------------------------------------------------------------------------------------------------------------------------

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

see below

Step-by-step explanation:

The experimental probability was 7/20 since she got a 6 7 out of 20 times

Multiply by the number of rolls

7/20 * 100

7* 100/20

7 *5

35

She should get a 6 around 35 times

Answer:

C. \( y = 3.50 + 2.75x \)

Step-by-step explanation:

Initial fee charged by the taxi driver = $3.50

Fee charged per kilometer = $2.75

Number of kilometers of travel = x

Total cost charged for a trip = y = initial fee charged for renting a taxi + fee paid based on the number of kilometers travelled

Total cost of the trip can be expressed by the following equation:

\( y = 3.50 + 2.75x \)

The answer is C. \( y = 3.50 + 2.75x \).

Step-by-step explanation:

to find f(5)   in f(x) , just put in '5' where 'x' is in the equation

f(5) = 3 (5) + 2 = 17

Answer:

f(5) = 17

Step-by-step explanation:

Let's evaluate the function for f(5)

Insert 5 everywhere x appears:

Therefore f(5) = 17

Answer: The domain is all real numbers. The range is y ≥ 1.

Step-by-step explanation: The equation would be a parabola. The equation would hit all x-values. The equation would hit all y-values greater than one.

The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

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Answer:

I don’t see a model??

Step-by-step explanation:

Answer:

okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.

Step-by-step explanation:

If the distribution of professional baseball player salaries has a mean of $3.2 million. the test statistic and P-value for this significance test is :A. t = 1.83 and 0.025 < P-value < 0.05.

We will use a t-test to determine whether the sample mean salary of baseball players on the East Coast is significantly different from the population mean salary of $3.2 million, given a sample of 30 players with a sample mean of $3.9 million and a standard deviation of $2.1 million.

The null hypothesis is that the mean salary for baseball players on the East Coast is $3.2 million, while the alternative hypothesis is that it is different from $3.2 million.

The test statistic for this hypothesis test is:

t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

t = (3.9 - 3.2) / (2.1 / sqrt(30)) = 1.83

To find the P-value for this test, we need to determine the degrees of freedom (df) for the t-distribution. Since the sample size is 30, df = 30 - 1 = 29. Using the t-table with 29 degrees of freedom and a two-tailed test at the alpha level of 0.05, we find that the critical values are ±2.045.

The P-value for the test is the probability of getting a t-value as extreme as 1.83 or more extreme, given the null hypothesis. We can find this probability using the t-table or a statistical software program. Using the t-table with 29 degrees of freedom, we find that the area to the right of 1.83 (corresponding to the alternative hypothesis of a greater mean salary) is between 0.025 and 0.05.

Therefore, the correct answer is A. t = 1.83 and 0.025 < P-value < 0.05. This indicates that there is some evidence to suggest that the mean salary for baseball players on the East Coast is different from $3.2 million.

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Answer:

sin θ = \(\frac{\sqrt{6} }{3}\)

Step-by-step explanation:

Given that,

cos θ = \(\frac{\sqrt{3} }{3}\)

From the trigonometric functions,

cos θ = \(\frac{adjacent}{hypotenus}\)

⇒ adjacent = \(\sqrt{3}\), and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

\(/hyp/^{2}\) = \(/adj/^{2}\) + \(/opp/^{2}\)

\(/3/^{2}\) = \((\sqrt{3} )^{2}\) + \(x^{2}\)

9 = 3 + \(x^{2}\)

\(x^{2}\) = 9 - 3

   = 6

x = \(\sqrt{6}\)

Thus, opposite side = \(\sqrt{6}\)

So that,

sin θ = \(\frac{opposite}{hypotenuse}\)

        = \(\frac{\sqrt{6} }{3}\)

Therefore,

sin θ = \(\frac{\sqrt{6} }{3}\)