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3 years ago

The candidate that won received 80% of the 260 total votes. How many votes did the non-winning candidate receive?

Mathematics

1 answer:

weqwewe [10]3 years ago

7 0

Answer:

Step-by-step explanation:

20% of 260

Or 52 votes

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On a test that has a normal distribution, a score of 19 falls one standard deviation below the mean, and a score of 40 falls two

nexus9112 [7]

Hi there!

We can use the following equation:

$\large\boxed{z = \frac{x-\mu}{\sigma}}$

z = amount of standard deviations away a value is from the mean (z-score)

σ = standard deviation

x = value

μ = mean

Plug in the knowns for both and rearrange to solve for the mean:

$-1 = \frac{19-\mu}{\sigma}\\\\-\sigma = 19 - \mu\\\\ \sigma = -19 + \mu$

Other given:

$2 = \frac{40-\mu}{\sigma}\\\\2\sigma = 40- \mu\\\\ \sigma = 20 - \frac{\mu}{2}$

Set both equal to each other and solve:

$-19 + \mu = 20 - \frac{\mu}{2}\\\\\frac{3\mu}{2} = 39 \\\\3\mu = 78 \\\\\boxed{\mu = 26 }$

5 0

2 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

sergiy2304 [10]

Answer:

$\displaystyle Maximum: 11$

Step-by-step explanation:

Convert this Quadratic Equation to Vertex Form by completing the square, $\displaystyle y = a[x - h]^2 + k$ :

$\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum$

So as you can see, each time we broke the equation down, we used the formula $\displaystyle [\frac{b}{2}]^2$ to complete the square.

** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.

I am joyous to assist you anytime.

4 0

3 years ago

6. The revenue function for a production by a theatre group is

Sidana [21]

Answer:

When the ticket price is $3 or $4 the production will be in break even

Step-by-step explanation:

<u><em>The correct question is</em></u>

The revenue function for a production by a theatre group is R(t) = -50t^2 + 300t where t is the ticket price in dollars. The cost function for the production is C(t) = 600-50t. Determine the ticket price that will allow the production to break even

we know that

Break even is when the profit is equal to zero

That means

The cost is equal to the revenue

we have

$R(t)=-50t^2+300t$