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2 years ago

4125 x 10 to the 3rd power

Mathematics

2 answers:

Natasha2012 [34]2 years ago

8 0

4,125x10^3

Just add three zeroes! :D

Answer: 4,125,000

Hope this helped! If you think i'm worthy, Brainliest is a great achievement!

Kobotan [32]2 years ago

4 0

In standard form, it would look like this:

4125 * 1000

This would be 4,125,000

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Choose the two rectangular prisms that have a volume of 36cm^3?

oee [108]

Answer:

<em>Correct choices: B, D</em>

Step-by-step explanation:

<u>The Volume of a Rectangular Prism</u>

Given a rectangular prism of dimension W, L, and H, the volume is calculated as:

V = WLH

Each small cube of the figure has a volume of 1 cube centimeter. We need to calculate the volume of each solid and determine which ones have a volume of 36 cube cm.

A: V = 5*3*4 = 60 cube cm

B: V = 3*3*4 = 36 cube cm

C: V = 3*4*2 = 24 cube cm

D: V = 6*2*3 = 36 cube cm

E: V = 2*4*2 = 16 cube cm

Correct choices: B, D

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2 years ago

An important assumption underlying inferences from a linear regression is that variance in the response variable is reasonably c

rewona [7]

Answer:

A. True

Step-by-step explanation:

Linear regression is "an analysis that assesses whether one or more predictor variables explain the dependent (criterion) variable. The regression has five key assumptions:

1) Linear relationship : We need to check if the dependnet variable present a linear relationshipThe linearity assumption can best be tested with scatter plots in order to check if we have outliers in the data.

2) Multivariate normality : "The linear regression analysis requires all variables to be multivariate normal". And we can check this with a histogram or a Q-Q-Plot, usually Normality can be checked with a goodness of fit test like the Kolmogorov-Smirnov test or Shapiro Wilks test.

3) No or little multicollinearity : "Multicollinearity occurs when the independent variables are too highly correlated with each other". And we can check this with a correlation matrix, variance inflation factor (VIF's), correlation index and other statistics.

4) No auto-correlation : The "Autocorrelation happens when the residuals are not independent from each other in the data". And usually we can test this with the Durbin-Watson test.

5) Homoscedasticity: MEans that we need constant variance for the linear model. The scatter plot is good way to check whether the data are homoscedastic. And we can interpret this condition as "that variance in the response variable is reasonably consistent across the range of an explanatory factor (otherwise known as homoscedasticity)"

So then the statement is TRUE.

5 0

3 years ago

Jackson used the process of completing the square to solve the equation 2x2−12x=−6.

Nikolay [14]

Answer:

$x=3-\sqrt{6},x=3+\sqrt{6}$

Step-by-step explanation:

we are given equation as

$2x^2-12x=-6$

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

$2(x^2-6x)=-3\times 2$

step-2:

Simplify it

$x^2-6x=-3$

step-3:

Add both sides 3^2

$x^2-6x+3^2=-3+3^2$

now, we can complete square

$(x-3)^2=6$

step-4:

Take sqrt both sides

$(x-3)=-\sqrt{6},(x-3)=\sqrt{6}$

step-5:

Add both sides by 3

we get

$x=3-\sqrt{6},x=3+\sqrt{6}$

3 0

3 years ago

a group of 31 friends gets together to play a sport. first people must be divided into teams. each team has to exactly 4 players

azamat

We have the following values:
Total people: 31
People per team: 4
The number of teams will then be:
N = (31) / (4)
N = 7.75
Round to the previous whole number.
N = 7
There are 7 teams.
Answer:
they can make about 7 teams.

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3 years ago

Maria's father is 20 years older than Maria Write an expression that will represent the age of Maria's father use a variable and

abruzzese [7]

Let's make "x" the variable for Maria's age.

And since Maria's father is 20 years older than Maria:

Age of Maria's Father = x + 20.

4 0

3 years ago