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3 years ago

The mean of six numbers is 10. When

Mathematics

2 answers:

vivado [14]3 years ago

5 0

Answer:

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

raketka [301]3 years ago

3 0

Answer:

Step-by-step explanation:

Mean is calculated as

mean = $\frac{sum}{count}$

Given the mean of 6 numbers is 10, then

$\frac{sum}{6}$ = 10 ( multiply both sides by 6 )

sum = 60

When another number x is added then count is 7

$\frac{60+x}{7}$ = 9 ( multiply both sides by 7 )

60 + x = 63 ( subtract 60 from both sides )

x = 3 ← the number added

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3 years ago

1. A rectangular kitchen sink is 25.25 inches long, 19,75 inches wide, and

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3 years ago

A graduated cylinder that is 24 cm tall can hold 1 L of water.

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3 years ago

What is an exact solution for <br><img src="https://tex.z-dn.net/?f=m%20%5Csqrt%7B14%7D%20" id="TexFormula1" title="m \sqrt{14}

AlexFokin [52]

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3 years ago

If the demand function for a commodity is given by the equation

Margarita [4]

Answer:

Equilibrium quantity = 26.92

Equilibrium price is $31.13

Step-by-step explanation:

Given :Demand function : $p^2 + 16q = 1400$

Supply function : $700 -p^2 + 10q = 0$

To Find : find the equilibrium quantity and equilibrium price.

Solution:

Demand function : $p^2 + 16q = 1400$ --A

Supply function : $p^2-10q=700$ ---B

Now to find the equilibrium quantity and equilibrium price.

Solve A and B

Subtract B from A

$p^2-10q -p^2-16q=700-1400$

$-26q=-700$

$26q=700$

$q=\frac{700}{26}$

$q=26.92$

So, equilibrium quantity = 26.92

Substitute the value of q in A

$p^2 + 16(26.92) = 1400$

$p^2 + 430.72 = 1400$

$p^2 = 1400- 430.72$

$p^2 = 969.28$

$p = \sqrt{969.28}$

$p = 31.13$

So, equilibrium price is $31.13

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3 years ago