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3 years ago

Find the linear that is the best fit for the given data. Round decimals values to the nearest hundredth, if necessary

1 answer:

3 0

The linear least squares regression will have a slope of:

m=(nΣxy-ΣxΣy)/(nΣx^2-ΣxΣx)

m=(5*2078-30*281)/(5*220-30*30)

m=1960/200

m=9.8

and a y-intercept of:

b=(Σy-mΣx)/n

b=(281-9.8*30)/5

b=-2.6

So the line of best fit is:

y=9.8x-2.6

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There are premium tickets costing $99 each and rest are regualr tickets costing $25 each. A pile of 120 tickets have a total val

polet [3.4K]

Answer:

There are 38 premium tickets and 82 regular tickets in a pile.

Step-by-step explanation:

Given,

Total number of tickets = 120

Total amount = $5812

Solution,

Let the number of premium tickets be x.

And the number of regular tickets be y.

Total number of tickets is the sum of total number of premium tickets and total number of regular tickets.

So the equation can be written as;

$x+y=120\ \ \ \ \ equation\ 1$

Again,total amount is the sum of total number of premium tickets multiplied by cost of each premium ticket and total number of regular tickets multiplied by cost of each regular ticket.

So the equation can be written as;

$99x+25y=5812\ \ \ \ equation\ 2$

Now We will multiply equation 1 by 25 we get;

$x+y=120\\25(x+y)=120\times25\\25x+25y= 3000 \ \ \ \ equation\ 3$

Now Subtracting equation 3 from equation 2 we get;

$(99x+25y)-(25x+25y)=5812-3000\\\\99x+25y-25x-25y=2812\\\\74x=2812\\\\x=\frac{2812}{74}=38$

We will now substitute the value of x in equation 1 we get;

$x+y=120\\38+y=120\\y=120-38\\y=82$

Hence There are 38 premium tickets and 82 regular tickets in a pile.

3 0

3 years ago

I used 2/3 for tickits and 1/6 on popcorn how much money is left

posledela

Answer:

You would have 1/6 of your money remaining.

Step-by-step explanation:

Let's write an equation for this.

1 - (2/3 + 1/6)

First, let's multiply the numerator and denominator of 2/3. You get 4/6!

1 - (2/3 + 1/6)

1 - (4/6 + 1/6)

Next, let's add 4/6 and 1/6. You get 5/6!

1 - (4/6 + 1/6)

1 - 5/6

Finally, let's turn 1 into 6/6 and do 6/6 - 5/6!

1 - 5/6

6/6 - 5/6

1/6

You would have 1/6 of your money remaining.

3 0

3 years ago

What is the value of 3/10 to the power of three

Zielflug [23.3K]

0.003? 3/(10^3). Wdym

3 0

3 years ago

Choose the numbers that are irrational.

ddd [48]

As the numbers are written, none of them are irrational because they are all terminating decimals:

$3.624=\dfrac{3624}{1000}=\dfrac{453}{125}$
$0.6=\dfrac6{10}=\dfrac35$
$0.87=\dfrac{87}{100}$
$-5=-\dfrac51$

Perhaps there is some missing notation in your question?

8 0

3 years ago

You borrowed 43,800 at a SIMPLE interest rate of 4.8%. If you pay it back in 2 years, how much

Naddik [55]

Answer:

I = $4204.8

Step-by-step explanation:

Given that,

Principal, P = $43,800

Interest rate = 4.8%

Rate = 2 years

We need to find the interest that is paid back. We know that, simple interest is given by :

$I=\dfrac{PRT}{100}$

Put all the values,

$I=\dfrac{43800\times 4.8\times 2}{100}\\\\=\$4204.8$

So, the required interest is equal to $4204.8 .

3 0

3 years ago