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3 years ago

12

They randomly survey 50 students about how much money they spend on lunch each day. What is the expected value for a student to

spend on lunch each day?

1 answer:

siniylev [52]3 years ago

3 0

2$ for public 3-4$ for private

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A candle maker plans to make 30 orange candles. She mixes wax to create a specific shade of orange. The ratio of each color in h

otez555 [7]

Answer:2.5 part

Step-by-step explanation:

Given

Candle maker requires 1 quart of wax to make 6 candles

If candle maker makes 30 candles then 5 quart of wax is needed

The quart is made up of 2 part of red+ 5 parts of yellow + 3 Parts of white

i.e. total of 10 parts is required to make orange shade

Yellow is 5 part out of 10 part so

yellow will be 2.5 part in 5 quart

8 0

3 years ago

For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

$3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)$

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

$x_{2}=3x_{1} -2$

substitute in equation (2), we get

$9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k$

we cannot find the value of $x_{1}$ and $x_{2}$ .

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

$3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6$

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

4 0

3 years ago

Find the perimeter of the

anzhelika [568]

167

hope that helps :)))

7 0

3 years ago

The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

So, approximate surface area of sculpture is 192 $ft^2$ .

3 0

3 years ago

Why did the Vietnam vets feel alienated when they came home from war

Marrrta [24]

Answer:

Because they were suffering form PTSD and questioning their identity.

6 0

3 years ago