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3 years ago

8

In the refrigerator there are 680 ounces of orange juice and 410 ounces of mango juice. How many orange tango smoothies can be m

ade? Explain

2 answers:

ohaa [14]3 years ago

8 0

That would depend on how many ounces are in each smoothie and how much of each flavor you are adding to each smothie

k0ka [10]3 years ago

6 0

<span>342 u have to subtract to get this answer</span>

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when four coins are tossed simultaneously then what is the probability of getting two heads and two tails

Paul [167]

Answer:

50% chance

Step-by-step explanation:

4 * 50% = 2

5 0

3 years ago

What is midpoint of A(2, 3) and B(-2, 5)?

Elis [28]

Answer:

The midpoint of A and B is (0, 4).

Step-by-step explanation:

Use the midpoint formula, ((x₁ + x₂)/2 , (y₁ + y₂)/2)

First, solve for the x part.

(2 + (-2))/2

0/2

0

So the x-coordinate of the midpoint is 0.

Then, solve for the y part.

(3 + 5)/2

8/2

4

So the y-coordinate of the midpoint is 4.

7 0

3 years ago

. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum

Drupady [299]

Answer:

$r=1.05\ \text{ft}$

$h=2.12\ \text{ft}$

$20.91\ \text{ft}^3$

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = $7.35\ \text{ft}^3$

$V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}$

Surface area is given by

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}$

Differentiating with respect to radius we get

$\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}$

Equating with zero we get

$0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05$

$\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0$

So, the value of the function is minimum at $r=1.05$

$h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12$

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3$

The minimum surface area is $20.91\ \text{ft}^3$ .

8 0

3 years ago

You are planning a survey of starting salaries for recent business major graduates from your college. From a pilot study you est

xxTIMURxx [149]

Answer:

1245

Step-by-step explanation:

-Given the standard deviation is $9000 and the margin of error is $500.

-the minimum sample size at a 95% confidence level can be calculated using the formula:

$n\geq( \frac{z\sigma}{MOE})^2\\\\\\\geq (\frac{1.96\times 9000}{500})^2\\\\\\\geq 1244.6784\approx 1245$

Hence, the minimum sample size is 1245

*Since there's no data fromw which we are drawing our variables, we can manually input our parameters in excel and calculate as attached.

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3 years ago

Give me the ans of this plss

svet-max [94.6K]

Step-by-step explanation:

1. 9

2. 105

3. 8

4.0

Mark me branliest

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3 years ago