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3 years ago

I need help !!!!!! !!!!!!!

Mathematics

1 answer:

bekas [8.4K]3 years ago

4 0

It’s a function. So for every X-input, there is a Y-output. Or in this case, P-input and C-output. When you plug in 1 for P in the equation, you get the answer for c which is 115. Continue plugging in the number of painting sold for the P and you get your output of c! Use the chart given. Hope this helps

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New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night (USA Today

Ierofanga [76]

Answer:

a) We can find the z score for the value of 225 and we got:

$z = \frac{225-204}{55}=0.382$

And we can find this probability with the complement rule:

$P(z>0.382)=1-P(z$

b) $z = \frac{140-204}{55}=-1.164$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

c) $P(200$

And we can find this probability with this difference:

$P(-0.072$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-0.072$

d) For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.2$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.8 of the area on the left and 0.2 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.2

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.842$

And if we solve for a we got

$a=204 +0.842*55=250.31$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the costs of a population, and for this case we know the distribution for X is given by:

$X \sim N(204,55)$

Where $\mu=204$ and $\sigma=55$

We are interested on this probability

$P(X>225)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

We can find the z score for the value of 225 and we got:

$z = \frac{225-204}{55}=0.382$

And we can find this probability with the complement rule:

$P(z>0.382)=1-P(z$

Part b

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$z = \frac{140-204}{55}=-1.164$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

Part c

$P(200$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(200$

And we can find this probability with this difference:

$P(-0.072$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-0.072$

Part d

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.2$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.842$

And if we solve for a we got

$a=204 +0.842*55=250.31$

5 0

3 years ago

The solution to a quadratic are called

vova2212 [387]

Answer:

roots

Step-by-step explanation:

A quadratic equation with real or complex coefficients has two solutions, called roots.

Roots are also called x-intercepts or zeros. ... The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

4 0

2 years ago

Suppose that theta is an angle in standard position whose terminal side Intersects the unit circle at (-11/61, -60/61)

Blizzard [7]

Answer:

The exact values of the tangent, secant and cosine of angle theta are, respectively:

$\cos \theta = -\frac{11}{61}$

$\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}$

$\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}$

Step-by-step explanation:

The components of the unit vector are $x = -\frac{11}{61}$ and $y = -\frac{60}{61}$ . Since $r = 1$ , then $x = \cos \theta$ and $y = \sin \theta$ . By Trigonometry, tangent and secant can be calculated by the following expressions:

$\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}$

$\sec \theta = \frac{1}{\cos \theta} = \frac{1}{x}$

Now, the exact values of the tangent, secant and cosine of angle theta are, respectively:

$\cos \theta = -\frac{11}{61}$

$\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}$

$\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}$

3 0

3 years ago

You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T

velikii [3]

All functions have an inverse expression.

The cost function is: $\mathbf{C(x) = 40000 + 100x}$ .
The inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

From the question, we have the following observations:

Base fare = 50000 pesos for first 100
Additional guest = 100 pesos

So, the cost function would be:

$\mathbf{C(x) = 50000 + (x - 100) \times 100}$

Where: x represents the number of guests, and C(x) represents the cost function

Expand

$\mathbf{C(x) = 50000 + 100x - 10000}$

Evaluate like terms

$\mathbf{C(x) = 40000 + 100x}$

To calculate the inverse function, we have:

$\mathbf{C(x) = 40000 + 100x}$

Replace C(x) with y

$\mathbf{y = 40000 + 100x}$

Swap x and y

$\mathbf{x = 40000 + 100y}$

Subtract 40000 from both sides

$\mathbf{x - 40000 = 100y}$

Divide both sides by 100

$\mathbf{\frac{x - 40000}{100} = y}$

Rewrite as:

$\mathbf{y= \frac{x - 40000}{100} }$

Split

$\mathbf{y= \frac{x}{100} - \frac{40000}{100} }$

$\mathbf{y= 0.01x - 400 }$

Hence, the inverse function is: $\mathbf{C'(x) = 0.01x - 400 }$

Read more about functions and inverse at:

brainly.com/question/10300045

3 0

3 years ago

The table shows the steps for solving the given inequality for x.

slavikrds [6]

Given inequality -3(4-6x) < x+5.

We have -3 in front of Parenthesis.

That represents multiplication of -3 and Parenthesis.

The multiplication of Parenthesis could be done by applying distributive property.

On distributing, we get

-12+18x < x+5

x is added on right side of the inequality. The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get

-12+18x-x < x-x+5

-12+17x < 5

Now, we need to get rid -12 from left side.

So, we need to apply addition property of equality, we need to add 12 on both sides, we get

-12+12+18x < x+5+12

17x < 17

We need to get rid 17 from left side. So we need to apply division property of equality.

On dividing both sides by 17, we get

17x/17 < 17/17

x<1.

8 0

3 years ago