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3 years ago

If 2 pizzas cost $16.22 how much would one cost

Mathematics

2 answers:

koban [17]3 years ago

6 0

16.22 divided by 2 = your answer. (8.11)

Naddika [18.5K]3 years ago

5 0

To find the answer you would have to divide 16.22 and 2 which would equal 8.11

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Find three real numbers x, y, and z whose sum is 6 and the sum of whose squares is as small as possible. g

mart [117]

We're minimizing $x^2+y^2+z^2$ subject to $x+y+z=6$ . Using Lagrange multipliers, we have the Lagrangian

$L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(x+y+z-6)$

with partial derivatives

$\begin{cases}L_x=2x+\lambda\\L_y=2y+\lambda\\L_z=2z+\lambda\\L_\lambda=x+y+z-6\end{cases}$

Set each partial derivative equal to 0:

$\begin{cases}2x+\lambda=0\\2y+\lambda=0\\2z+\lambda=0\\x+y+z=6\end{cases}$

Subtracting the second equation from the first, we find

$2x-2y=0\implies x=y$

Similarly, we can determine that $x=z$ and $y=z$ by taking any two of the first three equations. So if $x=y=z$ determines a critical point, then

$x+y+z=3x=6\implies x=y=z=2$

So the smallest value for the sum of squares is $2^2+2^2+2^2=12$ when $(x,y,z)=(2,2,2)$ .

8 0

3 years ago

A major airline is concerned that the waiting time for customers at its ticket counter may be exceeding its target average of 19

sertanlavr [38]

Answer:

a) Statement is true

b) Statement incorrect. Company goal is to attend customer at 190 second at the most. So test should be one tail test (right)

c) We have to reject H₀, and differences between sample mean and the hypothesized population mean should not be attributed only to sampling error

Step-by-step explanation:

a) as the significance level is = 0,02 that means α = 0,02 (the chance of error type I ) and the β (chance of type error II is

1 - 0.02 = 0,98

b) The company establishe in 190 seconds time for customer at its ticket counter (if this time is smaller is excellent ) company is concerned about bigger time because that could be an issue for customers. Therefore the test should be a one test-tail to the right

c) test statistic

Hypothesis test should be:

null hypothesis H₀ = 190

alternative hypothesis H₀ > 190

t(s) = ( μ - μ₀ ) / s/√n ⇒ t(s) = ( 202 - 190 )/(28/√100 )

t(s) = 12*10/28

t(s) = 4.286

That value is far away of any of the values found for 99 degree of fredom and between α ( 0,025 and 0,01 ). We have to reject H₀, and differences between sample mean and the hypothesized population mean should not be attributed only to sampling error

If we look table t-student we will find that for 99 degree of freedom and α = 0.02.

3 0

3 years ago

225.286 rounded to hundredths on a numberline

Schach [20]

Well if rounding it to the tenths is 230 then you would round back down to 200

3 0

3 years ago

Read 2 more answers

Using the formula F=9/5C+32, find C when F= 75.

den301095 [7]

Answer: