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Aleksandr-060686 [28]

3 years ago

5

Sam bought a football jersey on sale for 40% off. He paid $30, and it was originally priced at $45 was he charged the correct am

ount

2 answers:

Valentin [98]3 years ago

7 0

Answer:

No, because he is being charged more than what the discount is.

45/40=18 $18 $45-$18=$27 He should be charged $27.

Bond [772]3 years ago

4 0

No, he should have paid $33

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on tuesday a local hamburger shop sold a combined total of 348 hameburgers and cheeseburger. the number of cheeseburger sold was

ANTONII [103]

Answer:

There were 261 Cheeseburgers and 87 Hamburgers sold on Tuesday

Step-by-step explanation:

Lets write some equations where H=Hamburgers and C=Cheeseburgers:

1) H+C=348

2) C=3H

1) Substitute 3H as C in the first equation:

3H+H=348

2) Combine alike terms:

4H=348

3) Divide both sides by 4:

H=87

4) Now, substitute 87 as H in the first equation:

87+C=348

5) Subtract 87 from both sides:

C=261

6 0

3 years ago

Can anyone help me with both problems please?

Eva8 [605]

Answer:

1.y=2x+7

2.y=1/2x+2

Step-by-step explanation:

Graph 1-

The slope-intercept form is y=mx+b

b= y-intercept which in graph 1 is 7

so y=mx+7

in order to find m you use the y2-y1/x2-x1 equation.

This means find two coordinates on the graph such as (0,7) and (-1,5).

Now find y2:5

y1:7

x2:-1

x1:0

y2-y1= 5-7=-2

x2-x1= -1

That gives you -2/-1 which you then simplify to = 2

So the graph would be y=2x+7

Graph 2:

You will do the same steps: Find where the line passes through y on a graph, which will be y=2.

b=2

y=mx+2

then find two coordinates, (0,2)(2,3)

y2=3

y1=2

x2=2

x1=0

y2-y1=3-2=1

x2-x1=2-0=2

The slope of the graph which is m= 1/2

y=1/2x+2

8 0

3 years ago

What is the simplest radical form of square root of 80?

Pani-rosa [81]

√(80)=√(4*20)=√(4*4*5)=4√5

7 0

3 years ago

Write the expression nine divided by the quantity of x plus y

seropon [69]

9514 1404 393

Answer:

$\text{A)}\quad\dfrac{9}{x+y}$

Step-by-step explanation:

In the English expression, you need to understand that "A divided by B" means that A is the numerator and B is the denominator of the fraction representing the division. Here, "B" is "the quantity of ...", which means that the stuff after "of ..." is to be treated as a single item, the denominator in this case. That item is "x plus y." So, the expression in math terms is ...

$\dfrac{9}{x+y}$

When this is written in plain text, the "quantity" is put in parentheses, because the fraction bar no longer serves as a grouping symbol:

9/(x+y)

These expressions match the first choice, A.

7 0

3 years ago

Let X1, X2, ... , Xn be a random sample from N(μ, σ2), where the mean θ = μ is such that −[infinity] < θ < [infinity] and

Sliva [168]

Answer:

$l'(\theta) = \frac{1}{\sigma^2} \sum_{i=1}^n (X_i -\theta)$

And then the maximum occurs when $l'(\theta) = 0$ , and that is only satisfied if and only if:

$\hat \theta = \bar X$

Step-by-step explanation:

For this case we have a random sample $X_1 ,X_2,...,X_n$ where $X_i \sim N(\mu=\theta, \sigma)$ where $\sigma$ is fixed. And we want to show that the maximum likehood estimator for $\theta = \bar X$ .

The first step is obtain the probability distribution function for the random variable X. For this case each $X_i , i=1,...n$ have the following density function:

$f(x_i | \theta,\sigma^2) = \frac{1}{\sqrt{2\pi}\sigma} exp^{-\frac{(x-\theta)^2}{2\sigma^2}} , -\infty \leq x \leq \infty$

The likehood function is given by:

$L(\theta) = \prod_{i=1}^n f(x_i)$

Assuming independence between the random sample, and replacing the density function we have this:

$L(\theta) = (\frac{1}{\sqrt{2\pi \sigma^2}})^n exp (-\frac{1}{2\sigma^2} \sum_{i=1}^n (X_i-\theta)^2)$

Taking the natural log on btoh sides we got:

$l(\theta) = -\frac{n}{2} ln(\sqrt{2\pi\sigma^2}) - \frac{1}{2\sigma^2} \sum_{i=1}^n (X_i -\theta)^2$

Now if we take the derivate respect $\theta$ we will see this:

$l'(\theta) = \frac{1}{\sigma^2} \sum_{i=1}^n (X_i -\theta)$

And then the maximum occurs when $l'(\theta) = 0$ , and that is only satisfied if and only if:

$\hat \theta = \bar X$

6 0

3 years ago