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3 years ago

15

What is the probability that the first chip is unacceptable, and the second is acceptable? round the answer to four decimal plac

es?

1 answer:

lora16 [44]3 years ago

3 0

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Solve the triangle.

velikii [3]

Given 2 sides and 1 included angle, the area of a triangle can be solved using the formula:

Area = ab (sin C)/2

Substituting the given values:

Area = 10 * 23 * (sin 95)/2
Area = 114.56 sq. units

3 0

3 years ago

Can a function ever have 2 y-<br> intercepts?

Sauron [17]

Answer:

yes I think I'm new to this but I think that's a yes

7 0

2 years ago

Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa

Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) : $x^2+y^2+4z^2=36$

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

$\nabla f(x,y,z)=\\\nabla f(x,y,z)=$

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

$\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)$

So, $2x=-4\lambda$

$\Rightarrow x=-2\lambda$

$2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda$

Substitute the value of x , y and z in the ellipsoid equation

$(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2$

With $\lambda = 2$

x=-2(2)=-4

y=2

z=2

With $\lambda =- 2$

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

7 0

3 years ago

Help please thank you

butalik [34]

A - 2x^2 + 2x - 2

To find this, set up the equation:

(-x^2 + 6x - 1) + ( 3x^2 - 4x - 1)

With this, you need to combine like terms while taking into consideration the addition sign.

-x^2 + 3x^2 = 2x^2
6x + - 4x = 2x
- 1 + - 1 = - 2

Hope this helps!

7 0

3 years ago

Simplify: 6-/18 - 3.450

grigory [225]

Answer:

-3.11666666667

Step-by-step explanation:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants. hope this helps you :)

5 0

3 years ago