Help please I asp !!!

Mulitple choice math in picture please help

VARVARA [1.3K]

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3 0

3 years ago

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from ea

777dan777 [17]

Answer:

The mean and standard deviation of Y is $6.56 and $2.77 respectively.

Step-by-step explanation:

Consider the provided information.

Let Y represent their profit on a randomly selected pizza with this promotion.

The company is going to run a promotion where customers get $2 off any size pizza.

Therefore, $Y=\text{Profit}-\$2$

$Y=X-\$2$

So the mean will be reduced by 2.

$\mu_Y=\mu_X-\$2$

$\mu_Y =\$ 8.56 - \$2$

$\mu_Y =\$6.56$

If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.

Therefore $\sigma_Y=\sigma_X=2.77$

Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.

3 0

3 years ago

The circular stream of water from a faucet is observed to taper from a diameter of 20 mm to 10 mm in a distance of 50 cm. Determ

steposvetlana [31]

Solution:

From Bernoulli equation

$\frac{1}{2}$ ρ $V_{1}^{2}$ + ρgh = $\frac{1}{2}$ ρ $V_{2}^{2}$ , where ρ is density of water, h – height difference and $V_{1}$ and $V_{2}$ are the velocities in upper and lower cross sections correspondingly. We take into account that the pressure in both cross-sections is the same and equal to the atmospheric one.

From the continuity and assuming water incompressible:

$\pi r_{1}^{2}$ $V_{1}$ = $\pi r_{2}^{2}$ $V_{2}$ , where $A_{1}$ and $A_{2}$ are the corresponding cross-sections. As the lower diameter is twice as low as the upper one, we can conclude that $V_{1} = \frac{V_{2}}{4}$