MATHEMATICS HIGH SCHOOL

If a given data point is (1,4) and the line of best fit is y = 1.5x + 3.25, what's the residual value?

Answers

Answer 1
Answer:

Answer:

The residual value is -0.75

Step-by-step explanation:

we know that  

The residual value is the observed value minus the predicted value.

RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]

where

Predicted value.--> the predicted value given the current regression equation

Observed value. --> The observed value for the dependent variable.

in this problem

we have the point (1,4)

so

The observed value is 4

Find the predicted value  for x=1

y =1.5(1)+3.25=4.75

predicted value is 4.75

so

RESIDUAL VALUE=(4-4.75)=-0.75
Answer 2
Answer:

Answer:

-0.75

Step-by-step explanation:

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I think i had thw correct answers for thr last two but the keep coming up as incorrect​

Answers

Answer:

B. 40

C. 8

Step-by-step explanation:

A company rents diving equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table below shows the total charges, y, in dollars, of renting diving equipment for x number of days:Diving Equipment Rentals
Number of Days
(x) Total Charges (dollars)
(y)
0 5
1 20
2 35


What is the fixed amount charged?
$2
$5
$15
$20

Answers

The answer is B. $5

*i got an 100 on this test so i'm positive

Notice how the description says "a fixed amount plus a fee based on the number of days." And the question only asks for the fixed amount, not including the fee.

For the first rental, they had only been renting but had not kept it for a day yet, so the fee is not added and there is only the cost of the fixed amount for the equipment, which is $5. This shows that when they keep the equipment for a day, the fee is $10 added on each day the equipment is kept.

So, taking away the fee for the numbers of days, the points would be (0,5), (1,10), (2,15). Add on another $10 per day onto the y colomn and you get the table we have here.

Good luck on your quiz, hope you understood all of that :)

Answer:

B. 5

Step-by-step explanation:

To find the fixed fee, we need to make x=0. When x=0 y=5 so the fixed charge is 5.

You work for a small business that sells bicycles, tricycles, and tandem bicycles (bicycles built for two). Bicycles have one seat, one front-steering handlebars, two pedals , and two wheels. Tricycles have one seat, one front-steering handlebars, two pedals, and three wheels. Tandem Bicycles have two seats, one front-steering handlebars, four pedals, and two wheels. Part A: On Monday, you counted forty-eight tricycle wheels. How many tricycles were in the shop? Write an algebraic equation that shows the relationship between the number of wheels (w) and the number of tricycles (t). Part B: On Wednesday, there were no tandem bicycles in the shop. There were only bicycles and tricycles. There were a total of twenty-four seats and sixty-one wheels in the shop. How many bicycles and how many tricycles were in the shop? Solve algebraically and show all your work. Let a = the number of tricycles Let b = the number of bicycles Part C: A month later, there were a different number of bicycles, tricycles, and tandem bicycles in the shop. There were a total of 144 front-steering handlebars, 378 pedals, and 320 wheels. How many bicycles, tricycles, and tandem bicycles were in the shop? Solve algebraically and show all your work. Let a = the number of tricycles Let b = the number of bicycles Let c = the number of tandem bicycles.

Answers

Part A: each tricycle has three wheels, so with 48 wheels the number of tricycles was a =48/3=16 tricycles.
t=w/3 (the number of tricycles is the number of wheels divided by 3)

Part B:
The number of seats:
24=b+a (so b=24-a)
The number of seats is the sum of one seat per bicycle and one seat per a tricycle

also, 61=2a+3b (the number of wheels)

So we have:
24=b+a
 b=24-a
We can substitute this for b:

61=2a+3(24-a)

and solve:
61=2a+3*24-3a
61=72-a
a=72-61
a=11

There were 11 bicycles!!
and there were 24-11 tricycles, so 13 tricycles.

Part C: each of the bikes has only one  front-steering handlebar, so there were a total of 144 vehicles:

a+b+c=144

There were 378 pedals. And the number of pedals is:
2a+2b+4c=378 (the numbers 2,2,4 represent the number of pedals per vehicle)

divide by 2:
a+b+2c=189

Now, we have
a+b+2c=189
and

 a+b+c=144
and we can subtract them from each other:
a+b+c-(a+b+2c)=144-189
-c=45
c=45, so there were 45 tandem bicycles!
(this also means that a+b=144-45, that is a+b=99)
now the wheels:
3a+2b+2c=320
Let's substitute c:
3a+2b+90=320

which is
3a+2b=240
We also know that a+b=99, so we can substract this from this equation:
3a+2b+-a-b=240-99
2a+b=141

and again:
2a+b-a-b=141-99
a=42 - there were 42 trycicles!!!

And the bicycles were the rest:
99-42=57 bycicles

If ab = 10 and a2 + b2 = 30, what is the value of
(a + b)^2?

Answers

Answer: (a + b)² = 50

Step-by-step explanation:

(a + b)² = (a + b)(a + b)

= a² + ab + ab + b²

So, (a + b)² = a² + b² + 2ab

Then substitute the value of ab and (a² + b²)

(a + b)² = 30 + 2(10)

= 30 + 20

Therefore, (a + b)² = 50
ab=10
a^2+b^2=30
((a+b)^2=a^2+2ab+b^2=a^2+b^2+2*10=30+20=50

Can someone help me? ​

Answers

Answer:

i dont know this but use the app Socratic. You can download it on your phone. Take a picture of the problem, crop it then press enter. It will pull up a bunch of websites with the answer and teach you how to do the problem. HOPE THIS HELPS!!!! mark brainliest plz

Step-by-step explanation:

If y = x - 6 were changed to y = x + 8, how would the graph of the new function compare with the first one?

Answers

The graph of the new function compared with the first one is the graph would be shifted upward.

What is the equation?

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

The given equations are;

y = x - 6

y = x + 8

To compare the equation substitute the value of x = 0 and solving for the value of y.

y = x - 6

x = 0

y = 0 -6

y = -6

And y = x + 8

y = 0 + 8

y = 8

So the function would be shifted upward.

Hence, the graph of the new function compared with the first one is the graph would be shifted upward.

Learn more about the equation here;

brainly.com/question/18604228

#SPJ2
The first one would have a y-intercept of (0,-6) and the second one would have a y-intercept of (0,8) and x (the slope) would still be the same.
y=x-6 would have points with (0,-6) (2,-4) (4,-2) (6,0)
y=x+8 would have points with (0,8) (-2,6) (-4,4) (-6,2)
In other words shifted up. Hope this helps!
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