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3 years ago

Solve for the given variable.

Mathematics

1 answer:

nadezda [96]3 years ago

5 0

I assume the trouble with this is the > instead of an =.

If this is the case, just pretend like it is an equals and solve normally with one extra rule in mind. Any time you multiply or divide by a negative remember you need to flip the sign. For instance:
-3 < -1
Multiply by 2
-6 < -2
Multiply by -2
12 > 4

The reasoning behind this is simple, while x may be bigger than b, -x is smaller than -b because x has a greater absolute value.

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a set of date consists of 225 observations. the lowest value of the data set is 2,403; the highest is

kobusy [5.1K]

Answer:

8 classes

Step-by-step explanation:

Given

$Least = 2403$

$Highest = 11998$

$n = 225$

Required

The number of class

To calculate the number of class, the following must be true

$2^k > n$

Where k is the number of classes

So, we have:

$2^k > 225$

Take logarithm of both sides

$\log(2^k) > \log(225)$

Apply law of logarithm

$k\log(2) > \log(225)$

Divide both sides by log(2)

$k > \frac{\log(225)}{\log(2)}$

$k > 7.8$

Round up to get the least number of classes

$k = 8$

7 0

3 years ago

Solve for x.<br> 3x-12y=27

coldgirl [10]

Answer: x=4y+9

Step-by-step explanation:

All of the variables, 3x, 12y, and 27 can be divided y 3, so we will simplify by dividing the whole equation by 3.

3x/3-12y/3=27/3

Which is equal to....

x-4y=9

Now you can move -4y over to the right side by changing its sign...

x=4y+9

5 0

3 years ago

Read 2 more answers

Can someone solve this by mathematical induction? <br>

RSB [31]

Answer:

Step-by-step explanation:

$1) Initialisation:\\n=1\\1*1!=1\\(1+1)!-1=2-1=1\\True\\\\2) recursivity:\\\displaystyle \sum_{r=1}^n(r*r!)=(n+1)!-1\ is\ true\\\displaystyle \sum_{r=1}^{n+1}(r*r!)= \sum_{r=1}^{n}(r*r!)+(n+1)*(n+1)!\\\\=(n+1)!-1+(n+1)*(n+1)!\\=(n+1)!*(1+(n+1))-1\\=(n+1)!*(n+2)-1\\=(n+2)!-1\ thus\ true\ for\ n+1.\\$

6 0

3 years ago

What's the surface area of this figure? Pick one of the options.

Kitty [74]

197 in^2

Just find the area of each face in the figure.

These are the formulas I used:

Formula for area of trapzoid:
(a + b/ 2) x height

Formula for area of rectangle:
length x width

Formula for area of square:
Length x width

Hope this helps!

7 0

3 years ago

Read 2 more answers

Adele Swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds. How many seconds fas

Sati [7]

Answer

Find out how many seconds faster has Alexandria's time then Adele's time .

To proof

Let us assume that seconds faster has Alexandria's time then Adele's time be x.

As given in the question

Adele Swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds.

Than the equation becomes

x = 32.56 - 29.4

x = 3.16 seconds

Therefore the 3.16 seconds faster has Alexandria's time then Adele's time .

Hence proved

7 0

3 years ago