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Ghella [55]
3 years ago
14

t) Look at this prism and its net. Rectangular prism with length labeled 5 meters, width labeled 7 meters, and height labeled 12

meters. Net of the same rectangular prism with the same dimensionsn labeled. What is the surface area of this rectangular prism?
Mathematics
1 answer:
muminat3 years ago
4 0
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the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the numbe
vaieri [72.5K]

Answer:

yn +y -xn

Step-by-step explanation:

Mean= sum of numbers ÷number of numbers

x= sum of n numbers ÷n

<em>Multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>n</em><em>:</em>

xn= sum of n numbers

sum of n numbers= xn -----(1)

Let the number added be a.

After a has been added,

y= (sum of n numbers +a) ÷(n+1)

<em>Multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>(</em><em>n</em><em> </em><em>+</em><em>1</em><em>)</em><em>:</em>

y(n +1)= sum of n numbers +a

sum of n numbers= y(n +1) -a -----(2)

Substitute (1) into (2):

xn= y(n +1) -a

<em>Expand</em><em>:</em>

xn= yn +y -a

a= yn +y -xn

<u>Let's check!</u>

Let the numbers be 1, 2, 3 and 4.

mean, x= 10 ÷4= 2.5

n= 4

Let the new number added, a, be 7.

a= 7

mean, y= 17 ÷5= 3.4

a= yn +y -xn

a= 3.4(4) +3.4 -2.5(4)

a= 7

Thus, the expression is true.

3 0
2 years ago
4. The student council sold flowers for the Sweetheart dance as a fundraising
vekshin1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Total flowers sold = 200

Flowers are :

Carnations, Roses, and Gerber daisies

Carnations = c

Roses = r

Daisies = d

20 fewer roses than daisies ; r = d - 20

Total sales = $453

c = $1.50 each ; r = 3.75 each ; d = 2.25 each

c + d + d - 20 = 200

c + 2d = 220 - - (1)

1.50c + (d - 20)(3.75) + 2.25d = 453

1.50c + 3.75d - 75 + 2.25d = 453

1.50c + 6d = 528 - - - (2)

From (1)

c = 220 - 2d

1.5(220 - 2d) + 6d = 528

330 - 3d + 6d = 528

330 + 3d = 528

3d = 528 - 330

d = 198/3

d = 66

66 × 2.25 = $148.5

c = 220 - 2(66)

c = 88

88 * 1.50 = $132

r = d - 20

r = 66 - 20

r = 46

46 × $3.75 = $172.5

8 0
2 years ago
In a manufacturing process, a machine produces bolts that have an average length of 5 inches with a variance of .08. If we rando
xz_007 [3.2K]

Answer:

\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})

And replacing:

\mu_{\bar X}= 5

And the deviation:

\sigma_{\bar X}= \frac{0.283}{\sqrt{5}}= 0.126

And the distribution is given:

\bar X \sim N(\mu= 0.08, \sigma= 0.126)

Step-by-step explanation:

For this case we have the following info given :

\mu= 5. \sigma^2 =0.08

And the deviation would be \sigma = \sqrt{0.08}= 0.283

For this case we select a sample size of n = 5 and the distirbution for the sample mean would be:

\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})

And replacing:

\mu_{\bar X}= 5

And the deviation:

\sigma_{\bar X}= \frac{0.283}{\sqrt{5}}= 0.126

And the distribution is given:

\bar X \sim N(\mu= 0.08, \sigma= 0.126)

4 0
2 years ago
What is one fith times 15
Rus_ich [418]
One fifth is the same as \frac{1}{5} and 15 is the same as \frac{15}{1}

So just times across, \frac{1}{5} × \frac{15}{1}
Resulting in(1 x 15= 15, and 5 x 1= 5), \frac{15}{5}

If you need/want to reduce it, divide both numbers by 5. Leaving you with the simplified answer of \frac{3}{1} or 3. Either answer works. :)

If you have any questions, just comment them down below :)
4 0
3 years ago
Read 2 more answers
Evaluate the expression a/b for a = 80 and b = 8.
tangare [24]

A / B

= 80 / 8

= 10

Therefore the answer is 10

7 0
2 years ago
Read 2 more answers
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