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3 years ago

When figuring a tip at a restaurant it is customary to leave:

Mathematics

1 answer:

Vaselesa [24]3 years ago

3 0

Answer:

c. 15% or more

Step-by-step explanation:

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PLEASE HELP! I'm on a timer!

arlik [135]

The equation of a circle uses the following formula:

$(x - h)^{2} + (y - k)^{2} = r^{2}$

The center of the circle is given by (h,k). Therefore, h = -2, and k = -5. r = 1, so we can find the equation from the information given to us.

Plug in your values.

$(x + 2)^{2} + (y + 5)^{2} = 1^{2}$

$1^{2} = 1$

The equation of this circle is as follows:

$(x + 2)^{2} + (y + 5)^{2} = 1$

8 0

3 years ago

Thirty students are at soccer practice. Each group of three students needs a soccer ball and two field cones . How many balls an

3241004551 [841]

Answer:

10 soccer balls

20 cones

Step-by-step explanation:

30/3=10 groups

10*2=20

4 0

3 years ago

The CDC reported in 2012 that 1 in 88 American children had been diagnosed with an autism spectrum disorder (ASD).

gladu [14]

Answer:

Poisson Distribution , P(x<2) = 0.1446

Step-by-step explanation:

This is a binomial distribution question with

sample space, n = 300

probability of diagnosed with ASD, p = 1/88 = 0.0114

probability of not diagnosed with ASD, q = 1 - p = 0.9886

Mean, m is given as np = 300 * 0.0114 = 3.42

variance, v = npq = 300 * 0.0114 * 0.9886 = 3.38101

standard deviation, s = square root of variance = 3.38101^(0.5) = 1.83875

This binomial distribution can be approximated as Poisson Distribution since

n > 20 and p < 0.05

For a Poisson Distribution

P(X = x) = [e^(-m) * m^(x)]/ x!

b) x = 2

P(X < 2) = P(X = 0) + P(X = 1)

using the z score table and evaluating, we obtain

P(x<2) = 0.1446

4 0

3 years ago

56" board cut in 2 pieces and one piece is longer than 3 times the

Aleksandr [31]

Answer:

Piece one would equal to 14" and piece two would be 42" because 42 is three times the length of 14

8 0

3 years ago

Consider f and c below. f(x, y, z) = yzexzi + exzj + xyexzk,

Jet001 [13]

Answer:

$f(x,y,z)=ye^{xz}+C$

Step-by-step explanation:

We can write the given expression as :

$\vec f(x,y,z)=yze^{xz}\,\vec\imath+e^{xz}\,\vec\jmath+xye^{xz}\,\vec k$

As given, f = ∇f.

∇f = $\dfrac{\partial f}{\partial x}i$ + $\dfrac{\partial f}{\partial y}j$ + $\dfrac{\partial f}{\partial z}k$

We can write the partial derivative with respect to x, y and z.

$\dfrac{\partial f}{\partial x}=yze^{xz}$ ___(Equation 1)

$\dfrac{\partial f}{\partial y}=e^{xz}$ ______(Equation 2)

$\dfrac{\partial f}{\partial z}=xye^{xz}$ ______(Equation 3)

Take equation 2 and integrate with respect to y,

$\dfrac{\partial f}{\partial y}=e^{xz}$

$f(x,y,z)=ye^{xz}+a(x,z)$ ----------Equation 4

Derivate both sides w.r.t x , we get :

$\frac{d}{dx}(yze^{xz})=yze^{xz}+\dfrac{\partial a}{\partial x}$

$\dfrac{\partial a}{\partial x}=0$

integrate

a(x,z)=b(z)

put in equation 4 ,

we get :

$f(x,y,z)=ye^{xz}+b(z)$

take derivative wrt z

$\frac{d}{dz} (ye^{xz}+b(z))\impliesxye^{xz}=xye^{xz}+\frac{db}{dz}$

we can take here:

$\frac{db}{dz} = 0$

integrate:

$\int\ {\frac{db}{dz} } \, =\int0$

b(z) = C

The function can be written as :

from equation 4 :

$f(x,y,z)=ye^{xz}+C$

Where C is a constant.

4 0

3 years ago