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3 years ago

10(23+7)=100ℓ+100ℓ What is the value of \large\ellℓell in the equation above?

Mathematics

1 answer:

JulijaS [17]3 years ago

7 0

Answer:

ℓ = 1.5

Step-by-step explanation:

An equation 10(23+7)=100ℓ+100ℓ is given and we are asked to find the value of ℓ.

To solve the equation, we have to move all the values containing ℓ on one side and other values on other side of equality.

10(23+7)=100ℓ+100ℓ

Multiply 10 with 23 and 7 which gives

(10 * 23 ) + ( 10 * 7) = 200 ℓ

Solving the above equation,

230 + 70 = 200 ℓ

300 = 200 ℓ

=> ℓ = 300 / 200

=> ℓ = 3/2

=> ℓ = 1.5

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What is the square root of 36x to the fourth power?

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$\sqrt{36x^4}=\sqrt{36}\cdot\sqrt{x^4}=\sqrt{6^2}\cdot\sqrt{(x^2)^2}=6\cdot x^2=\boxed{6x^2}$

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3 years ago

Find the indicated probability. The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a

Alecsey [184]

Given Information:

Mean weekly salary = μ = $490

Standard deviation of weekly salary = σ = $45

Required Information:

P(X > $525) = ?

Answer:

P(X > $525) = 21.77%

Step-by-step explanation:

We want to find out the probability that a randomly selected teacher earns more than $525 a week.

$P(X > 525) = 1 - P(X < 525)\\\\P(X > 525) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 525) = 1 - P(Z < \frac{525 - 490}{45} )\\\\P(X > 525) = 1 - P(Z < \frac{35}{45} )\\\\P(X > 525) = 1 - P(Z < 0.78)\\\\$

The z-score corresponding to 0.78 from the z-table is 0.7823

$P(X > 525) = 1 - 0.7823\\\\P(X > 525) = 0.2177\\\\P(X > 525) = 21.77 \%$

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

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3 years ago

What does this equation equal?<br> 4-2(-2)=

olga_2 [115]

Answer:

Step-by-step explanation:

Pemdas:

4-2(-2)

4+4

Hope this helped!

6 0

3 years ago

Help pleaseee :)!!!!!!!!!

harkovskaia [24]

Answer:

5x/x+3

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask!

3 0

3 years ago

Read 2 more answers

In a recent? year, person A and person B had two concert? tours, and together they generated $ 192.9 million in ticket sales. If

Nuetrik [128]

Answer: Person A generates 107.6 millions and person B generates 85.3 millions.

Step-by-step explanation:

Let 'x' millions be the amount generated by person A then the amount generated by person B be 'x-22.3' millions.

Since they both earn together $192.9 millions.

So according to the our assumptions we have,

$x+x-22.3=192.9\\\Rightarrow\ 2x=192.9+22.3\\\Rightarrow\ 2x=215.2\\\Rightarrow\ x=107.6$

Therefore, the amount generated by person A=107.6 millions

And the amount generated by person B= 192.9 millions - 107.6 millions

=85.3 millions

6 0

3 years ago