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2 years ago

Convert 150 base 10 to a binary number.

Mathematics

1 answer:

STALIN [3.7K]2 years ago

8 0

Answer:

10010110

Step-by-step explanation:

A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:

10000000

Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:

10010000

We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:

10010100

What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:

10010110

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The distribution of the test statistic for analysis of variance is the F-distribution. true or false

lubasha [3.4K]

Answer:

True. See explanation below

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $k$ groups and on each group from $j=1,\dots,k$ we have $k$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}$

The degrees of freedom for the numerator on this case is given by $df_{num}=k-1$ where k represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-k$ .

And the total degrees of freedom would be $df=N-1$

And the we can find the F statistic $F=\frac{MSR}{MSE}$

8 0

3 years ago

How to draw a drawing graph?

Lapatulllka [165]

Make a horizontal line on the paper. You may draw arrows on the ends of the line to indicate it is a number line that continues past your data sample. Put the label "X" to the right of the line to indicate the x axis. Mark the center of the line with a vertical tick mark and label it 0. This is the origin of the graph. Make equally spaced tick marks on the rest of the x axis. For this example you should label the tick marks from 1 to 10 on the right side of the 0.

5 0

3 years ago

Help pls, how do i answer this one

nasty-shy [4]

Answer:

h > 24

Step-by-step explanation:

h/3 > 8

so basially you move the number three from the left side to the right side

so from division to multiplication

h > 8 x 3
h > 24
Solved !

Hope it helped ! Have a nice day !

5 0

2 years ago

Can somebody help me?

babymother [125]

Answer:

15% markdown

Step-by-step explanation:

In order to find the markdown, take the lowered price and place it in a fraction as the numerator, and the initial price as the denominator. This looks like:

$\frac{828.75}{975}$

with this fraction, we're going to multiply it by 100, with an equation looking like this,

$\frac{828.75}{975}$ × $\frac{100}{1}$

once we multiply(typically using a calculator, though manually is possible of course) we get 85.

In order to find the markdown price however, we need to subtract 85 from 100, getting 15. This is the markdown price, because it's the percentage of the initial whole that the price went down by. Can check by finding 15% of 975, which is 828.75

3 0

2 years ago

What is the formula for area of a trapezuim??

kenny6666 [7]

Answer:

The formula is 1/2h(a+b)

h stands for the perpendicular height

a and b stand for the two horizontal lengths which are parallel to each other

4 0

2 years ago