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3 years ago

19. James has a desk job and would like to become more fit, so he purchases a

Mathematics

1 answer:

Neko [114]3 years ago

8 0

Answer:

The correct answer is option (C)-0.245 = 2.160(0.205)

Step-by-step explanation:

Solution

Given that:

The slope = - 0.245

The size sample = n = 15

The standard error = 0.205

The confidence level = 95

The Significance level= α = (100- 95)% = 0.05

Now,

The freedom of degree = n-2 = 15 -2= 13

Thus,

the critical value = t* = 2.16

By applying Excel = [TINV (0.05, 13)]

The Margin of error is = t* (standard error)

=2.16 *0.205

= 0.4428

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addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum

bulgar [2K]

The maximum distance is the diameter of the circle, which is of 44 units.

The equation of a circle of radius r and center $(x_0,y_0)$ is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

The diameter is twice the radius, and is the maximum distance between two points inside a circle.

In this problem, the circular path is modeled by:

$x^2 + y^2 - 10x - 18y - 378 = 0$

We complete the squares to place it in the standard format, thus:

$x^2 - 10x + y^2 - 18y = 378$

$(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81$

$(x - 5)^2 + (y - 9)^2 = 484$

Thus, the radius is:

$r^2 = 484 \rightarrow r = \sqrt{484} = 22$

Then, the diameter is:

$d = 2r = 2(22) = 44$

The maximum distance is the diameter of the circle, which is of 44 units.

A similar problem is given at brainly.com/question/24992361

7 0

2 years ago

The number of subscribers to a streaming video service doubles each week.

Ilya [14]

Answer:

Step-by-step explanation:

This is an exponential equation that is solved by taking the natural log of both sides. The equation is

$f(x)=2^x$

If we are looking for x when f(x) = 64, then

$64=2^x$

Take the natural log of both sides:

$ln(64)=ln(2^x)$

The rules of logs allows us to bring the x down in front:

$ln(64)=xln(2)$

Divide both sides by ln(2) to get:

$\frac{ln(64)}{ln(2)}=x$

Do this on your calculator to get that x = 6.

You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.

5 0

3 years ago

Read 2 more answers

Let's try an application problem!

mamaluj [8]

Answer: 5 ft

Step-by-step explanation:

Area of a rectangle (which is the shape of a regular flag) = L* W.

W = Area/L = 9.5/1.9 = 5ft.

8 0

3 years ago

What am i supposed to do??

miskamm [114]

Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg

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3 years ago

Janelys needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer fo

Sav [38]

Answer: x = 45

Step-by-step explanation:

6 0

2 years ago