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atroni [7]
2 years ago
10

Offering 15 points. Please help me out here!!!!!

Mathematics
1 answer:
Natali [406]2 years ago
8 0
Blank one and two are both 4.

A square rotated about it send her by 360° maps onto itself at D) 4 different angles of rotation. You can reflect a square onto itself across B) 4 different lines of reflection.

A square is a geometric figure which has all its four sides equal and all its interior angles are right angles(90°.)
Therefore, it can be rotated about its center by 360°
It maps onto itself at 4 different angles of rotation (at every 90° angle).

We can reflect a square onto itself across 4 different lines of (2 across the non-parallel sides and 2 across the vertices of the square.) reflection.
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Add. Express your answer in standard form. (−3+5i)+(6+2i). Enter your answer in the box.
evablogger [386]

You add/subtract complex numbers simply by adding/subtracting real parts and imaginary parts.

So, the real part of this sum is the sum of the real parts:

-3+6=3

And the imaginary part of this sum is the sum of the imaginary parts:

5i+2i=7i

So, you have

(-3+5i)+(6+2i) = 3+7i

7 0
4 years ago
A. The ratio of the number of boys
s344n2d4d5 [400]

Answer:

the girls = 18

so 18÷3=6

6×4=24

24 boys

6 0
3 years ago
4 ants are standing on a plane Ant A stands at (1,0) B at (0,1) C(-1,0) D at (0,-1) They all start walking to the next ant in al
3241004551 [841]

Answer:   Suppose we have four ants, initially at rest, at the four corners of a square centered at the origin. They start walking clockwise, each ant walking directly toward the one in front of him. Suppose also that each ant walks with unit velocity, derive a differential equation that describes the trajectories.

3 0
4 years ago
Suppose the area that can be painted using a single can of spray paint is slightly variable and follows a nearly normal distribu
Svetllana [295]

Answer:

Step-by-step explanation:

Hello!

You have the variable

X: Area that can be painted with a can of spray paint (feet²)

The variable has a normal distribution with mean μ= 25 feet² and standard deviation δ= 3 feet²

since the variable has a normal distribution, you have to convert it to standard normal distribution to be able to use the tabulated accumulated probabilities.

a.

P(X>27)

First step is to standardize the value of X using Z= (X-μ)/ δ ~N(0;1)

P(Z>(27-25)/3)

P(Z>0.67)

Now that you have the corresponding Z value you can look for it in the table, but since tha table has probabilities of P(Z, you have to do the following conervertion:

P(Z>0.67)= 1 - P(Z≤0.67)= 1 - 0.74857= 0.25143

b.

There was a sample of 20 cans taken and you need to calculate the probability of painting on average an area of 540 feet².

The sample mean has the same distribution as the variable it is ariginated from, but it's variability is affected by the sample size, so it has a normal distribution with parameners:

X[bar]~N(μ;δ²/n)

So the Z you have to use to standardize the value of the sample mean is Z=(X[bar]-μ)/(δ/√n)~N(0;1)

To paint 540 feet² using 20 cans you have to paint around 540/20= 27 feet² per can.

c.

P(X≤27) = P(Z≤(27-25)/(3/√20))= P(Z≤2.98)= 0.999

d.

No. If the distribution is skewed and not normal, you cannot use the normal distribution to calculate the probabilities. You could use the central limit theorem to approximate the sampling distribution to normal if the sample size was 30 or grater but this is not the case.

I hope it helps!

4 0
4 years ago
Which values are solutions to the inequality below? Check all that apply.
Gre4nikov [31]
I believe your answer would be A and D.
4 0
3 years ago
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