Choose the correct expression for each Written in word form.8 less than the product of 3 and j

Answer:

Step-by-step explanation:

You'd have to be really familiar with conic sections to know what to do with this. Good thing I am! ; )

Begin by grouping the x terms together and the y terms together, and getting the constant on the other side of the equals sign:

[tex]25x^2+200x-9y^2+18y=-166[/tex]

Now we need to complete the square on the x terms and the y terms. Do this by first factoring out the leading coefficient from each, the 25 from the x's and the 9 from the y's:

[tex]25(x^2+8x)-9(y^2+2y)=-166[/tex]

Now take half the linear term in each set of parenthesis, square it, and add it in to both sides, remembering the multiplier outside (the 25 and the 9). Our x linear term is 8. Half of 8 is 4, and 4 squared is 16, so we add a 16 into the parenthesis with the x's; our y linear term is 2. Half of 2 is 1 and 1 squared is 1, so we add a 1 into the parenthesis with the y's:

[tex]25(x^2+8x+16)-9(y^2+2y+1)=-166+400-9[/tex]

Note the 400 and -9 on the right side now. 25 times 16 is 400; we didn't just add in a 16, we have to multiply the scalar number into it before we know what we REALLY added in. And the -9 comes from multiplying the -9 times 1.

The reason we do this is to get the perfect square binomials on the left that we created while completing the square:

[tex]25(x+4)^2-9(y+1)^2=225[/tex]

Now, finally we will divide both sides by 225 to get this conic into standard form:

[tex]\frac{(x+4)^2}{9} -\frac{(y+1)^2}{25} =1[/tex]

This is a hyperbola with a horizontal transverse axis and a center of (-4, -1). The reason we know it's not an ellipse is because an ellipse will always have a + sign separating the x-squared from the y-squared whereas a hyperbola always has a - sign separating them. And we also know it's not a circle because the values of the leading coefficients weren't the same.

Answer:

27 / (7x)

Step-by-step explanation:

Since the denominators are the same, we can add the numerators

15         12

----- + ---------

7x            7x

27

----

7x

Answer:

Step-by-step explanation:

It's A and B happy learning

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

the formula doesn't work for the answers shown,    

y = 2x +23 for 1980 should be 23  not 26.9

something is missing in your question

Answer:

FV= $2,636.16

Step-by-step explanation:

Giving the following information:

Annual deposit (A)= $200

Number of periods (i)= 10 years

Interest rate (i)= 6%

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

FV= {200*[(1.06^10) - 1]} / 0.06

FV= $2,636.16

Answer:

The probability is "0.6406", this elevator isn't appear to be​ safe

Step-by-step explanation:

The given values are:

Mean,

[tex]\mu=165[/tex]

Standard deviation,

[tex]\sigma=35[/tex]

Number of male passengers,

[tex]n = 10[/tex]

Now,

⇒ [tex]z=\frac{161-165}{\frac{\sigma}{\sqrt{10} } }[/tex]

      [tex]=\frac{161-165}{\frac{35}{\sqrt{10} } }[/tex]

hence,

The probability will be:

= [tex]P(\bar {x}>161)[/tex]

= [tex]P(z > -0.3614)[/tex]

= [tex]0.6406[/tex]

Answer:

a) The null hypothesis is [tex]H_0: p \leq \frac{2}{3}[/tex] and the alternate hypothesis is [tex]H_1: p > \frac{2}{3}[/tex].

b) The sample proportion is 0.6710.

Step-by-step explanation:

Question a:

An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips.

At the null hypothesis, we test if the proportion is two-thirds or less, that is:

[tex]H_0: p \leq \frac{2}{3}[/tex]

At the alternate hypothesis, we test if the proportion is of more than two-thirds, that is:

[tex]H_1: p > \frac{2}{3}[/tex]

b. What is the sample proportion from an American Express-sponsored survey that found 359 of 535 business travelers use a laptop computer on overnight business trips (to 4 decimals)?

359 out of 535 is 359/535 = 0.6710.

The sample proportion is 0.6710.

Answer:

Step-by-step explanation:

From the given information:

Null and alternative hypothesis is:

[tex]\mathbf{H_o: \text{The die is not loaded i.e. six numbbers are equally alike}}[/tex]

[tex]\mathbf{H_a: \text{The die is loaded i.e. six numbbers are not equally alike}}[/tex]

Numbers   Observed         Expected            (O - E)    (O-E)^2     (O-E)^2/E

                 Frequency (O)   Frequency (E)  

1                  31                             30                   1             1               0.03

2                 34                            30                   4             16            0.53

3                 26                            30                  -4            16             0.53

4                 16                             30                  -14           196           6.53

5                 32                            30                    2            4               0.13

6                 41                             30                    11            121            4.03

Total          180                                                 [tex]X^2= \sum (\dfrac{O-E}{E})^2=11.78[/tex]

degree of freedom = n - 1

= 6 - 1

= 5

Critical value at [tex]X^2_{0.05/2,5} =11.07[/tex]

Since the calculated [tex]X^2 \ is \ > X^2_{0.025/5}[/tex] , then we reject [tex]H_o[/tex]

Conclusion: Accept the alternative hypothesis.

The information provided gives sufficient evidence for us to conclude that the given die is loaded.

Answer:

24.65

Step-by-step explanation:

Answer:

the group bought 18 comic books.

Step-by-step explanation:

It says that Anna went home with 6 comic books and there are 3 people (Joey, Mikey, and Anna). So if Anna bought 6 comic books, Joey also bought 6 books and Mikey also bought 6 books. 6 + 6 + 6 = 18

Hope this is helpful

Answer:

LOL i dont need money jus mark me brainliest :P

Step-by-step explanation:

[tex]distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]AB = \sqrt{(6--2)^2 + (2-4)^2} = \sqrt{8^2 + 2^2} = \sqrt{68}\\\\BC = \sqrt{(1-6)^2 + (-1-2)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}\\\\AC= \sqrt{(1--2)^2 + (-1-4)^2}} = \sqrt{3^2 + 5^2 } = \sqrt{34}[/tex]

[tex]Clearly, this\ satisfies \ the\ Pythagoras\ theorem : AC^2 = AB^2 + BC^2[/tex]

                                                                      [tex](\sqrt{68})^2 = (\sqrt{34} )^2 + (\sqrt{34} )^2\\\\68 = 34 + 34 \\68 = 68\\Hence\ satisfies .[/tex]

Therefore,  the triangle ABC is a right angle triangle.

Answer:

-3 1/4 is the answer for this question

Answer:

b. The values X and Y are independent therefore, the mean is 34 seconds and the standard deviation is 50 seconds

Step-by-step explanation:

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Before the training, the mean running time for the students to run a mile was 402 seconds with standard deviation 40 seconds.

This means that [tex]\mu_X = 402, \sigma_X = 40[/tex]

After completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds.

This means that [tex]\mu_Y = 368, \sigma_Y = 30[/tex]

Which of the following is true about the distribution of X-Y?

They are independent, so:

[tex]\mu = \mu_X - \mu_Y = 402 - 368 = 34[/tex]

[tex]\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{40^2+30^2} = 50[/tex]

This means that the correct answer is given by option b.

The values X and Y are independent therefore, the mean is 34 seconds and the standard deviation is 50 seconds.

What is the subtraction between normal variables?

The two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Before the training, the mean running mean  time for the students to runing a mile was 402 seconds with standard deviation 40 seconds.

That is the [tex]\mu_x=402 , \sigma_x=40[/tex]

That is the after completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds.

That is [tex]\mu_y=368,\sigma_y=30[/tex]

which of the following is true about the distribution of X-Y?

They are independent

Therefore we get,

[tex]\mu=\mu_x-\mu_y=402-368=34[/tex]

[tex]\sigma=\sqrt{\sigma_x^2-\sigma_y^2}\\\sigma=\sqrt{40^2-30^2}\\\sigma =50[/tex]

Therefore the option b is correct.

To learn more about the distribution visit:

https://brainly.com/question/24756209

This means that the correct answer is given by option b.

Answer:

b. The method used to calculate the confidence interval has a 90% chance of producing an interval that captures the population mean number of annual pass holders in the park on any given day.

Step-by-step explanation:

The confidence interval calculated from the sample at a particular confidence level, gives a certain percentage of confidence based on the confidence level that the true mean of the population exists within the confidence interval Calculated.

For the scenario above, we can say that there is a 90% chance that the population mean number of annual pass holders in the park on a given day is within the interval (35, 51)

Answer:

There are only 1  

Pairs of integers satisfying a÷b = -2​

Step-by-step explanation:

Answer:

[tex]all \: positive \: integers \: in cluding \: 1[/tex]

so I dont really know how many

Step-by-step explanation:

eg

[tex] \frac{ - 2}{1} \\ \frac{ - 4}{2} \\ \frac{6}{ - 3} \\ = - 2[/tex]

they are all equal to negative 2

Answer:

12 cm³

Step-by-step explanation:

the volume of the sphere = 4/3 πr³

the volume of the cylinder (h=2r)= πr².2r

= 2πr³

the volume ratio of S : C =

4/3 πr³ : 2 πr³

= 4/3 : 2

= 4 : 6

= 2 : 3

so, the volume of the Sphere =

2/3 × 18 = 12 cm³

Answer:

Solution given:

radius [r]=height[h]

volume of cylinder=πr²h

18cm³=πr³

again

volume of sphere

=4/3 πr³

=4/3*18=24cm³

the volume of the sphere:24cm³

Answer:

.8

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the probability that Jane makes money in a given week is .6 and  the probability that Jane and Maria both make money in a given week is .48. Then the probability that Maria makes money in a given week...

Let the probability that Jane makes money in a given week be p(j) and that Maria makes money in a week be p(m) then

p(j) = .6 and

p(j) * p(m) = .48

.6 * p(m) = .48

p(m) = .48/.6

= .8

is (0,0) a solution to what system?

Answer:

D

Step-by-step explanation:

When you simplify the expression you start by subtracting 5 from both sides. This gives you 0.2x > -3. Then to isolate "x" you divide both sides by 0.2. This gives you x > -15, which is shown in the number line.

Answer:

D the horizontal cross-section of the pyramid and cone at the same height must have the same area

9514 1404 393

Answer:

  x = 5°

Step-by-step explanation:

The marked angles are "alternate exterior angles," hence congruent.

  2x +90° = x +95°

  x = 5° . . . . . . . . . . . . subtract (x+90°) from both sides

Answer:

0.0001292

Step-by-step explanation:

a raised to the power -m is 1/a raised to power m

Answer:

Step-by-step explanation:xyyxxyduxuxifg icicuddididif uicidididciifificvidid idodididix ididididix ifidididix

Answer:

give me a heart first and then ill answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the numbers be x and y.

We have:

Sum the two and find x:

Find y:

Let the numbers be a and b

Add both

Put in first one

Answer:

its 780 minutes

Step-by-step explanation:

multiply 13 by 60