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Virty [35]
3 years ago
11

Original amount: 326 End amount: 423.80 Increase or decrease

Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

Answer:

increase

Step-by-step explanation:

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An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found one at position (1, 4) and t
myrzilka [38]

Given:

Positions of two artifacts are at points (1, 4) and (5, 2).

To find:

The distance between these two artifacts.

Solution:

Distance formula: The distance between two points is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, the distance between two points (1, 4) and (5, 2) is

d=\sqrt{(5-1)^2+(2-4)^2}

d=\sqrt{(4)^2+(-2)^2}

d=\sqrt{16+4}

d=\sqrt{20}

d=4.4721359

Round to the nearest tenth of a unit.

d\approx 4.5

Therefore, the distance between two artifacts is 4.5 units.

4 0
3 years ago
Write the equation of the line passing through the points (-4, 5) and (4, 1).
oksian1 [2.3K]

9514 1404 393

Answer:

  y = -1/2x + 3

Step-by-step explanation:

It can work to start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (1 -5)/(4 -(-4))(x -(-4)) +5 . . . . . fill in point values

  y = -4/8(x +4) +5 . . . . . . . . simplify a bit

  y = -1/2x -2 +5 . . . . . .eliminate parentheses

  y = -1/2x +3 . . . . collect terms

5 0
3 years ago
Insurance companies A and B each earn an annual profit that is normally distributed with the same positive mean. The standard de
krok68 [10]

Answer:

C. 0.98

Step-by-step explanation:

Let x be the mean of Company A and B annual profit and x/2 and y are standard deviation of Company A and B annual profit.

P(B<0) = 0.9*P(A<0)

P(Z<(0-x)/y) = 0.9*P(Z<(0-x)/(x/2))

P(Z<-x/y) = 0.9*P(Z<-2)

P(Z<-x/y) = 0.0205

x/y =2.04

Or y/x = 1 /2.05

y/x =0.49

Ratio of the standard deviation of company B annual profit to the standard deviation of company A annual profit =y/(x/2)

= 2*(y/x)

= 2*0.49

= 0.98

7 0
3 years ago
PLS help ME!!!!<br> Simplify the expression
Vanyuwa [196]

Answer: -2.1p + 1.7

2.4 - 6p - 0.7 + 3.9p

Subtract 6p from 3.9p. (-2.1p)

Subtract 0.7 from 2.4. (1.7)

5 0
3 years ago
2 tons of mulch cost $14,720.00. What is the price per pound?
Norma-Jean [14]

Answer:the anser is $7,360

Step-by-step explanation:

all you need to do is divide 14,720 by 2 to get 7,360 because you are needing to know how much is one pound of mulch and you have twice the mount so all you need is to divide :)

7 0
3 years ago
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