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Lady_Fox [76]
3 years ago
11

I NEED MEGA HELP WITH THIS QUESTION

Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer:

C. y =  -  \frac{1}{4} x - 2

Step-by-step explanation:

To find slope using coordinates, use the formula above.

(4, - 3) \: (0, - 2)→ \frac{ - 2 - ( - 3)}{0 - 4}→ \frac{ - 2 + 3}{ - 4} → -  \frac{1}{4}

Now, using the y = mx + b formula, plug in -  \frac{1}{4} as m (slope) and either coordinate as the x and y values. It looks like this:

- 3 =   - \frac{1}{4}(4)  + b

To solve for b, continue to use PEMDAS.

- 3 =   - \frac{1}{4}(4)  + b→ - 3 =  - 1 + b→ - 2 = b

Now use m and b to solve for your equation:

y =  -  \frac{1}{4} x - 2

The answer is C.

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As a store manger you would like to find out the average time it takes to unload the truck which delivers the merchandise for yo
Georgia [21]

Answer:

The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes

Step-by-step explanation:

We have the standard deviation for the sample, but not for the population, so we use the students t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 35 - 1 = 35

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.975([tex]t_{975}). So we have T = 2.0322

The margin of error is:

M = T*s = 2.0322*30 = 60.97

The upper end of the interval is the sample mean added to M. So it is 204 + 60.97 = 264.97

The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes

4 0
3 years ago
Read 2 more answers
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid​
attashe74 [19]

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

8 0
3 years ago
Read 2 more answers
Math question. image shown below
marin [14]

Answer:

The third one is the only one that is not a function.

Step-by-step explanation:


3 0
3 years ago
The width of a rectangle is 4 inches greater than half the length. The perimeter is 56 inches. What is the length and the width
yulyashka [42]

Answer:

Length of the rectangle = 16 inches

Width of the rectangle = 12 inches

Step-by-step explanation:

Let the length of the rectangle be represented by x.

Then width can be expressed as \[\frac{x}{2}+4\]


Perimeter of a rectangle is the sum of four sides of the rectangle.

This can be expressed as 2*(length + breadth)

= \[2* (x + \frac{x}{2}+4)\]

= \[2* (\frac{3x}{2}+4)\]

= \[3x + 8\]

But perimeter is given as 56.

So, \[3x + 8 = 56\]


=> \[3x = 48\]

=> \[x = 16\]

Hence length of the rectangle = 16 inches

Width of the rectangle = \[\frac{16}{2}+4\] = 12 inches

7 0
3 years ago
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Which of the following is the quadratic parent function?
kipiarov [429]

Answer:

F(x)=x^2

Step-by-step explanation:


8 0
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