In June, Tara gathered data about amusement park attendance on days with different temperatures. Tara used the equation y=−3.5x+400 to model the number of children, y, at the amusement park as a function of the temperature, x. On a day in July, the temperature was 90°F and there were 60 children at the park. Which is the residual of this data point?

Answers

Answer 1

Answer:

25

Step-by-step explanation:

Given the model:

y=−3.5x+400

Number of children in amusement park = y

Temperature = x

On a certain day:

Temperature = 90°F

Number of children in park = 60

Using the model :

The predicted number of children in park when temperature is 90°F would be :

y = - 3.5(90) + 400

y = - 315 + 400

y = 85

Model prediction = 85 children

Actual figure = 60

Residual :

|Actual - predicted | = |60 - 85| = 25 children


Related Questions

Y=-5x+4
-10-2(-5x+4)=12

Answers

Step-by-step explanation:

x=3

y=19

hope this helps if u need me to explain u can ask hope it helps

x3−2=10 help plz i need help

Answers

x=4
This is because
(4)3-2=10
12-2=10
10=10
This makes the statement true!
Hope this helps have a good day!

A laundry basket has 24 t shirts in it four are navy 12 are red and the remaining are white.what the probability of not selecting a white shirt

Answers

Based on the information given, there’ll be 8 white t-shirts in the laundry basket so we need to exclude that from the rest since we’re looking for a chance of NOT getting a white t-shirt, that’ll give us 16 out of 24 which is 66%

Which has a greater slope (Rate of change)?

the graph

the table

Answers

Answer:

The graph

Step-by-step explanation:

The graph has a slope of 2 while the table has a slope of 1.

2-1/6/5=1/1=1

2>1

Answer and will mark brainliest

Answers

Answer:

30

Step-by-step explanation:

PLES HELP MEH

What's the point of intersection of the x-axis and y-axis on a coordinate plane?

A. Coordinate plane
B. Origin
C. Ordered pairs
D. Quadrants

Answers

The answer is B. Origin

Please help thanks I’m so confused

Answers

Answer:

64.93=4.73x+22.36

Step-by-step explanation:

64.93 is how much he paid

22.36 is his constant

4.73 is for 1 call


Please help me. I will mark you as brainliest !!!

Explain how the graph of each given function is a transformation of the graph
of y = x^2

a. y = x^2 -5
b. y = -2x^2
C. y = (x - 5)^2
d. y = (-3x)^2

Answers

Answer:

A.) The function is being translated down 5 units

B.) The function is being stretched vertically stretched by 2 units

C.) He function is being translated 5 units to the right

D.) The functions being flipped and vertically stretched by 3 units

Hope this helps in some way!

Ocean water freezes at about -2 1/2 so silly fresh water freezes at zero anti-freeze a liquid used in radiators of cars freeze at -64 imagine if the temperature has dropped to the freezing point for ocean water how many degrees more most the temperature Drop for the anti-freeze to turn solid

Answers

Answer:

Temperature needs to drop by 61.5°

Step-by-step explanation:

Given that:

Freezing temperature of ocean water = - 2.5

Freezing temperature of fresh water = 0

Freezing temperature = anti-freeze = - 64

If temperature has dropped to freezing point for ocean water, then current temperature = - 2.5

How many more degrees must the temperature drop for temperature to turn solid :

Freezing temperature of anti-freeze - current temperature

-64 - (-2.5)

-64 + 2.5

-61.5

-61.5(the temperature needs to drop by 61.5°)

Please Help, I need to answer this ASAP and will automatically give brainliest

Answers

Answer:

12 and 18

Step-by-step explanation: since i helped can i have brainlist please :D

What fraction goes in the box to make it correct?
4/11×_=1​

Answers

Step-by-step explanation:

[tex] \frac{11}{4} [/tex]

[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]

if it's helpful ❤❤❤

THANK YOU.

REALLY EASY MATHS QUESTION PLS HELP
(I think it easy lol)

Answers

Answer:

no.2 no.5

Step-by-step explanation:

i don't know how to explain

have a good rest of your day

Answer:

question (1) c^2=a^2+b^2

Step-by-step explanation:

pythagoras theorem

can someone explain how to find the slope​

Answers

Answer:

slope is rise over run. first select a point. I'll use (0,-1). to get to the next complete point, you would have to go up (rise) 3 points and right (run) 1 point. the rise over run (3/1) divides evenly to 3. hope this helps!

AMC 10/12 Student Practice Questions
Guide to Student Practice Questions
Each of the following four large congruent squares is
subdivided into combinations of congruent triangles or
rectangles and is partially shaded. What percent of the total
area is partially shaded?
I
The original problem
and choices from the
2011 AMC 8 contest
(A) 12 (B) 20
(C) 25 (D) 33 (E) 37

Answers

Answer:

[tex]\mathrm{C.\:}25[/tex]

Step-by-step explanation:

Notice how each congruent square is divided into four equal parts. Since each square has four parts and there are four squares, there are [tex]16[/tex] of these parts in total. Because each of these parts make up [tex]\frac{1}{4}[/tex] of each square, all parts are equal. Therefore, you can count the total number of shaded parts to get your percentage.

The top left and bottom right both have one part shaded each for a total of [tex]2[/tex] parts.

The top right and bottom left have [tex]0.5[/tex] and [tex]1.5[/tex] parts shaded, respectively, for a total of [tex]2[/tex] parts.

Therefore, in total, there are [tex]2+2=4[/tex] parts shaded out of [tex]16[/tex] total parts.

Thus, the percentage of the total area that is shaded is:

[tex]\frac{4}{16}=\frac{1}{4}=\fbox{$25\%$}[/tex].

What type of function is y=2^x +8

Answers

Answer:

y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Step-by-step explanation:

We know that the general exponential function is of the form

f(x) = aˣ

were a > 0

Given the function

y = 2ˣ + 8

Comparing with y =  aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.

where a = 2

We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.

i.e.

y = 2ˣ + 8

y = 2⁰ +8        ∵ 2⁰= 1

y = 1+8

y = 9

Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.

Therefore, y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Bradley has ordered a steak from the meat market that weighs 1 5/8 pounds. There is a bone in the steak that weighs 7/8 of a pound. How much does the meat weigh?

Answers

Answer:

3/4

Step-by-step explanation:

the bone and the steak weigh = 1 5/8 pounds

The bone weighs 7/8

The meat weighs = 15/8 - 7/8

Converting 1 5/8 to an improper fraction gives 13/8

13/8 - 7/8 = 6/8 = 3/4

What is the solution to the equation 3x+2--x-5?
0 X=-B
x=-7
OX= 7
O X=8

Answers

Answer:

it x=-8 do it

Step-by-step explanation:

Find the difference (1−5q)+2(2.5q+8)

Answers

Answer:

The main reason for the large population growth in Texas between 1850 and 1860 was __________.

a.

a large increase in the birth rate

b.

a large decrease in the death rate

c.

settlers moving in from other places

d.

all of the above

 

Please select the best answer from the choices provided

A

B

C

D

Step-by-step explanation:

Which equation does the graph below represent?

Answers

Answer:

a

Step-by-step explanation:

i think its a

6th grade math!!!!!!!!!!​

Answers

Answer:

Step-by-step explanation:

plug 20 in for c

f = 1.8(20) + 32

simplify

f = 36 + 32

f = 68

so 20 degress celsius is equal to 68 degrees farenheit

hope this helps <3

Answer:

60*F

Step-by-step explanation:

HELLLLPPPPPPPP☝️☝️☝️☝️☝️!!!!

Answers

money collected independent
tickets sold dependent

leah makes a guaranteed salary of $200 per week. but is paid commission of 15% of total sales per week. how much would leah make in a week in which she made $225 in sales?how much would leah make in a week if she made x dollars in sales

Answers

Answer:

Total earned with $225 sales = $233.75

Total earned with x sales = 0.15x+200

Step-by-step explanation:

Given that:

Base salary of Leah per week = $200

Commission paid = 15%

Sales made by Leah = $225

Commission = 15% of 225

Commission = [tex]\frac{15}{100} * 225[/tex]

Commission = 0.15 * 225

Commission = $33.75

Total earned = 200 + 33.75 = $233.75

Commission when sales are x

Commission = 0.15x

Total earned = 0.15x+200

Hence,

Total earned with $225 sales = $233.75

Total earned with x sales = 0.15x+200

Help me to find the slope and t-intercept please asap

Answers

Answer:

4/7x - 5 ________________________________________

Given that
a = -2, b = 5 and c = -5
work out
2b - 3ac

Answers

Answer:

- 20

Step-by-step explanation:

Given the expression

2b - 3ac ← substitute given values for a, b and c

= 2(5) - (3 × - 2 × - 5)

= 10 - 30

= - 20

Answer:

-20 is the required answer

Step-by-step explanation:

2b-3ac

=2×5-3×-2×-5

=10-30

=-20

Shan exercises daily. Today he did 85 pushups, which is 20 more than he usually does. How many pushups p does Shan usually do? Write an equation to represent this situation, and then solve the problem.

[equation]

Shan does [ ] pushups

Answers

Answer:

85 - 20 = p

65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Equation: 85-20=65

Solve for the missing angle

A. 121 degrees

B. 79 degrees

C. 111 degrees

D. 89 degrees

Answers

The missing angle is also 111 since they’re opposite interior angles (and are equal).

3. Find the slope and y-intercept of the graph of the following equation.
2y + 4 = -6x

Answers

Answer:

slope= -3,y - intercept y = -2

Step-by-step explanation:

- Make y the subject by taking four on the opposite side of the equal sign.

2y = -6x - 4

- Divide throughout by 2 and from there you get the gradient which is also the slope.

- To get the y - intercept,the value of x =0. Thus you get y =-2.

Whats the value? of this equation

Answers

Answer:

Option (4)

Step-by-step explanation:

Given equation of the linear graph is,

[tex]y=-\frac{5}{8}x+\frac{2}{3}n[/tex]

By comparing this equation with the slope-intercept form of the linear equation,

y = mx + b

m = [tex]-\frac{5}{8}[/tex]

And b = [tex]\frac{2}{3}n[/tex]

Since, y-intercept 'b' = -12 [given]

[tex]\frac{2}{3}n=-12[/tex]

n = [tex]-12\times \frac{2}{3}[/tex]

n = -8

Therefore, Option (4) will be the answer.

CRÍTICAL THINKING Can you use the Product of Powers Property to
multiply 5^2 x 6^4 ? explain

HELP Please

Answers

Answer:

The answer for that equation is 32400

Step-by-step explanation:

Answer:

No because their bases are not the same

Step-by-step explanation:

Suzie ran a race. She ran 5 miles per hour, and the race took t hours to complete. If the race is 60 miles long, which expression represents the total number of miles Suzie will have left to complete the race? *
pLZ ANSWER QUICK !!!

Answers

The Answer: 60 ÷ 5 = T

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