If the sub is 450 below sea level, then the number would be -450. Also, if the sub is ascending, it is going up. You would have to do -450+275 to get -175.
First, the best advice I can give you is to go to sleep. You pretty much know what you know, and being well-rested will help you think clearly, recall details, and avoid careless mistakes.
1)
![=(5 \times 10^3)+(2 \times 10^2)=(50 \times 10^2)+(2 \times 10^2)\\=10^2(50+2)=52 \times 100 = 5200 = 5.2 \times 10^3](https://tex.z-dn.net/?f=%3D%285%20%5Ctimes%2010%5E3%29%2B%282%20%5Ctimes%2010%5E2%29%3D%2850%20%5Ctimes%2010%5E2%29%2B%282%20%5Ctimes%2010%5E2%29%5C%5C%3D10%5E2%2850%2B2%29%3D52%20%5Ctimes%20100%20%3D%205200%20%3D%205.2%20%5Ctimes%2010%5E3)
2)
3) Yes, dilating with a scale factor that is less than 1 (and greater than 0) corresponds to a decrease.
4) Yes, dilating with a scale factor greater than 1 corresponds to an increase.
5) To find the slope of a scatter plot, you need to make a line of best fit, that is, the line that passes through as many points as possible and has about as many points above it as below it. Then, find two of those points that the line passes through and calculate the slope between those points. For two points
![(x_1,y_1)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29)
and
![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
, the slope is
![m= \dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%20%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
.
This is an estimate. To find a better approximation, you can use the least-square method, but I think that probably involves higher-level math that you don't need. If you think you do need to solve it this way, just comment here and I'll explain it. Note that you can also calculate it using Microsoft Excel or a regression plot on a graphing calculator.
Split it up into 4 separate shapes as shown in the attached picture:
shape 1 and 3 are identical triangles
area = 1/2 x B x H
area = 1/2 x 2 x 2 = 2 square cm each ( there are 2 so 2+2= 4 square cm for shape 1 & 3)
shape 2 is a rectangle area = L x w = 4*2 = 8 square cm
shape 4 is a triangle
area = 1/2 x b x h = 1/2 x 8 x 5.75 = 23 square cm
total area add all the shapes together: 4 + 8 + 23 =
35 square cm
Answer:
88
Step-by-step explanation:
We have 4 numbers that sum to 354.
So, let us use a letter to represent the first consecutive number in the sum.
Let it be x.
x + (x + 1) + (x + 2) + (x + 3) = 354
We want (x + 1), the second number in the sequence.
Simplify x + (x + 1) + (x + 2) + (x + 3) = 354
x + (x + 1) + (x + 2) + (x + 3) = 4x + 6 = 354
4x + 6 = 354
4x = 354 - 6
4x = 348
x = 348/4 = 87
so x + 1 = 87 + 1 = 88
<h2>
Answer:</h2>
or 6.67%
<h2>
Step-by-step explanation:</h2>
In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.
Now, the probability P(A) of an event A happening is given by;
P(A) = ![\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}](https://tex.z-dn.net/?f=%5Cfrac%7Bnumber-of-outcomes-in-the-event-A%7D%7Bnumber-of-outcomes-in-the-sample-space%7D)
From the question;
The event A is the situation of local residents having a post office box. Therefore the;
number-of-outcomes-in-the-event-A = 8 [since only 8 of the local residents have a post office box]
number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]
Therefore,
P(A) = ![\frac{8}{120}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B120%7D)
P(A) = ![\frac{1}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B15%7D)
The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, ![\frac{1}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B15%7D)
PS: <em>Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:</em>
% = 6.67%