The ellipse ^2/9 + ^2/4 =1, has its major axis length equal toa.13b. 9 c. 4 d. 3 e. 6

Answers

Answer 1
Answer:

The given equation of ellipse is,

\begin{gathered} (x^2)/(9)+(y^2)/(4)=1 \n (x^2)/(3^2)+(y^2)/(2^2)=1 \end{gathered}

Thus, the major axis length can be determined as,

2a=2*3=6

Thus, option (e) is correct.


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On a test a student got 15 problems correct out of a total of 20 problems.What percent did the student get incorrect?
HURRY

Answers

Divide 15 by 20

15 divided by 20 is 75%

Final answer:

To calculate the percentage of incorrect answers, subtract the correct answers from the total amount, resulting in 5 incorrect answers. Then divide the incorrect answers by the total problems, multiplied by 100, giving us 25% incorrect.

Explanation:

The subject is the calculation of percentages, specifically determining what percent of the test problems a student got incorrect. To find the answer, first subtract the number of problems the student got correct (15) from the total number of problems on the test (20). This gives you 5 incorrect answers. Then, to convert this number into a percentage, divide the number of incorrect problems (5) by the total number of problems (20) and multiply by 100. This gives an answer of 25%. So, the student got 25% incorrect on the test.

Learn more about Percentage Calculation here:

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A new DVD is available for sale in a store one week after its release. The cumulative revenue, $R, from sales of the DVD in this store in week t after its release is R=f(t)=350 ln tR=f(t)=350lnt with t>1. Find f(5), f'(5), and the relative rate of change f'/f at t=5. Interpret your answers in terms of revenue.

Answers

Solution :

It is given that :

$f'(t) = (350 \ln   t)'$

       $=350(\ln t)'$

        $=(350)/(t)$

So, f(5)=350 \ln (5) \approx 563

     $f'(5) = (350)/(5)$

              =70

The relative change is then,

$(f'(5))/(f(5))=(70)/(350\ \ln(5))$

         $=(1)/(5\ \ln(5))$

         $\approx 0.12$

          =12\%

This means that after 5 weeks, the revenue from the DVD sales in $563 with a rate of change of $70 per week and the increasing at a continuous rate of 12% per week.

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Answers

Answer:x=13

Step-by-step explanation:

Since they are both corresponding angles you can create the equation

5x+21=86

Subtract 21 from each side

5x=65

Divide each side by 5

X=13

Given the set of numbers: {3, 8, 2, 2, 5} Find the mean. Enter your answer as a whole number with zero decimal places.

Answers

Answer:

4

Step-by-step explanation:

The mean is defined as adding all the numbers up and dividing by how many numbers there are, so:

3+8+2+2+5 = 20, 20/5 = 4

Answer:

4

Step-by-step explanation:

mean is the average so you add up all the numbers and divide by the number of addicts.

3 +  8 + 2 + 2 + 5 = 20

20/ 5 = 4

Let be a continuous random variable that follows a normal distribution with a mean of and a standard deviation of . Find the value of so that the area under the normal curve to the right of is . Round your answer to two decimal places.

Answers

Complete Question

Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75.

a

Find the value of x so that the area under the normal curve to the left of x is .0250.

b

Find the value of x so that the area under the normal curve to the right ot x is .9345.

Answer:

a

  x  = 403

b

 x  = 436.75

Step-by-step explanation:

From the question we are told that

   The  mean is  \mu = 550

   The standard deviation is  \sigma = 75

Generally the value of x so that the area under the normal curve to the left of x is 0.0250 is mathematically represented as

     P( X <  x) = P( (x - \mu  )/( \sigma)  <  (x - 550 )/(75 ) ) = 0.0250

(X -\mu)/(\sigma )  =  Z (The  \ standardized \  value\  of  \ X )

     P( X <  x) = P( Z < z ) = 0.0250

Generally the critical value of  0.0250 to the left  is  

       z = -1.96

=>    (x- 550 )/(75) = -1.96

=>    x  = [-1.96 * 75 ]+ 550      

=>    x  = 403

Generally  the value of x so that the area under the normal curve to the right of x is 0.9345 is mathematically represented as

        P( X <  x) = P( (x - \mu  )/( \sigma)  <  (x - 550 )/(75 ) ) = 0.9345

(X -\mu)/(\sigma )  =  Z (The  \ standardized \  value\  of  \ X )

     P( X <  x) = P( Z < z ) = 0.9345

Generally the critical value of  0.9345 to the right  is  

       z = -1.51

=>    (x- 550 )/(75) = -1.51

=>    x  = [-1.51 * 75 ]+ 550      

=>    x  = 436.75

   

     

What is the quotient of 10?

Answers

A quotient is the result of dividing one number by another. For example, the quotient of 6 and 3 equals 6/3 or 2. In your problem above it is asking you to provide the quotient of 10 and 2 meaning you divide the 2 into the ten and end up with 10/2 or 5.

So I think the answer is 10/2 or 5