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3 years ago

Vector has x, y, and z components of 4.00, 4.00, and 1.00 units, respectively. calculate the magnitude of .

Mathematics

1 answer:

Molodets [167]3 years ago

5 0

Magnitude = sqrt (4^2 + 4^2 + 1^2) = sqrt 33 Answer

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Taylor surveys students in one grade level who own at least one pet. She finds that 50% of the students surveyed own 2 pets, 3 s

Llana [10]

First, we need to work out the total number of students who were being surveyed.

We know that half of the students has two pets. The rest of the students make up the other half. So, we have 3 students + 2 students + 8 students = 13 students that make half of the sample population

That means total number of students being surveyed is 13+13=26 students

Then we work out the probability
P(One pet) = 8/26 = 4/13
P(Two pets) = 1/2
P(Three pets) = 3/26
P( Four pets) = 2/26 = 1/13

The probability distribution is shown in the table below. Let $x$ be the number of pets and $P(X=x)$ is the probability of owning the number of pets

3 0

3 years ago

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Find the volume of the pyramid. Round your answer to the nearest tenth.

algol13

Answer:

from my opinion second option is right

8 0

3 years ago

Which ordered pair is the solution to the system of linear equations y = -7x + 2 and y = 9x - 14?

lisabon 2012 [21]

Y = -7x + 2
y = 9x - 14

-7x + 2 = 9x - 14
14 + 2 = 9x + 7x
16 = 16x
1 = x

y = -7x + 2
y = -7(1) + 2
y = -7 + 2
y = -5

solution is : (1,-5) <==

4 0

2 years ago

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Find an equation of the circle and sketch it if it has: Center on y=4, tangent x-axis at (–2, 0)

Digiron [165]

Answer:

$(x+2)^2+(y-4)^2=16$

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is $4$ .

We know that the circle is tangent to the $X$ axis at $(-2,0)$

That means the x coordinate of the center has to be $-2$ , as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is $(-2, 4)$ and a point on the edge of the circle (the tangent point) which is $(-2,0)$ . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius. When we put the numbers in: we get $(x-(-2))^2+(y-(4))^2=4^2$ which can be simplified into $(x+2)^2+(y-4)^2=16$ which is the answer.

Step-by-step explanation:

4 0

2 years ago

Solve for x 2 + x = - 5

Scrat [10]

X= -7

2+x=-5 if you move the constant to the right side it would be x=-5-2 which equals -7

6 0

2 years ago

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