A zoo collected data on the diving times of turtles. Based on the data, the regression line is j = 0.010 + 2.515x, where x is the time of the dive, in minutes. Based on the regression equation, what is the predicted dive depth in meters at 150 seconds? Give your answer to three decimal places. meter(s) ​

Answers

Answer 1

Answer:

6.298 meters

Step-by-step explanation:

Here, we are told that x is the time of the dive in minutes.

We simply first need to convert 150 seconds to minutes before substitution into the regression formula;

Kindly recall that 60 seconds = 1 minute

So 150 seconds will be 150/60 = 2.5 minutes

We now proceed to substitute into;

j = 0.010 + 2.515(x)

i = 0.010 + 2.515(2.5)

j = 0.010 + 6.2875

j = 6.2975 which go 3 decimal places is 6.298 meters

Answer 2

Using the regression model given, substitution the value of x = 2.5 minutes into the equation, the dive depth obtained ls 6.2975 meters.

Given the regression model :

y = 0.010 + 2.515x

x = time of the dive ; y = dive depth

Converting, x to minutes :

150 seconds = (150 ÷ 60) = 2.5 minutes

The dive depth, y after 150 seconds, can be obtained by substituting the value x = 2.5 into the equation :

y = 0.010 + 2.515(2.5)

y = 0.010 + 6.2875

y = 6.2975

There, the dive depth after 150 seconds will be 6.2975 meters

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Related Questions

If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles round to the nearest tenth

Answers

Answer:

Step-by-step explanation:

12.5

Number of laps in given distance is 12.5 laps.

Given:

Length of a track = 400 meter

Total distance = 3.1 miles

Find:

Number of laps in given distance

Computation:

We know that

1 miles = 1609.34 meter

So,

Total distance = 3.1 miles

Total distance = 3.1 × 1609.34

Total distance = 4988.954

Number of laps in given distance = 4988.954 / 400

Number of laps in given distance = 12.4723

Number of laps in given distance = 12.5 laps (Approx.)

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whats 9+10

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21 my guy that’s beer

Answer:

21 is the correct answer

Samuel needs 254 feet of wood to build a fence. The wood comes in lengths of 11 feet. How many total pieces of wood will Samuel need?Theresa needs twice as many feet of wood as samuel. How many pieces of wood does theresa need?

Answers

Answer:

Sam needs 24 pieces, he will have about 91/100 of a piece of wood left.

Theresa needs 47 pieces, she will have about 82/100 of a piece of wood left.

Step-by-step explanation:

254/11=23.09

254*2=508

508/11=46.18


Which of these sets of angle measures could be the three angles in a triangle?
O 60' 70'. 80°
O 70.80.90
O 50°, 60° 70°
O 40, 50, 60°

Answers

50, 60 , 70 can be three angles in a triangle
I think 50,60, and 70 because it adds up to 180

Find the constant. quickly please!

Answers

i’m not sure i clearly understand but i think it’s three?

Answer:

Assuming you are asking for the slope which is 3 or in the equation format y=3x

Step-by-step explanation:

you must find the distance in the y- values and the x values, how each value increases or decreases. You may have heard of the phrase rise/run. To get to the pint (2,6) from (1,3), you must rise 3 units and move 1 unit. If you were to follow the rise/run method, you will need to divide the two numbers. In this case you will be dividing 3/1 which equals you. Then you must plug that number into the formula (y=mx+b).

___ student(s) for every 8 computers.

45 students for every __ computer(s).

Answers

Answer:

_18__ student(s) for every 8 computers.

45 students for every _20_ computer(s).

Step-by-step explanation:

18 students for every 8 computers 45 students for every 20 computers

Solve the equation x2 + + 7x= 30
O A. x= 15 and x= -2
0 B x=-6 and x = 5
0 C x= -10 and x= 3
O D. x= 10 and x= -3

Answers

Answer:

x^2+7x=30

x^2+7x-30=0

Here a=1,b=7 and c=-30

Now,

Discriminant(D)=b^2-4ac

=7^2-4×1×(-30)

=49+120=169

By applying Quadratic formula

x=-b+- root over b^2-4ac÷2a

=-7+- root over D ÷ 2×1

=-7 +- root over 169 ÷2

=-7 +- 13 ÷2

Now,

Either x=-7+13÷2=6÷2=3

Or x=-7 -13 ÷2=-20÷2=-10

Hence, ans is (C) x=-10 and x=3

Which of the following numbers can be expressed as repeating decimals? (5 points) 3 over 7 , 2 over 5 , 3 over 4 , 2 over 9

Answers

2 over 9 can be expressed as a repeating decimal

Answer:

3/7 and 2/9 are repeating decimals.

Step-by-step explanation:

Select all that apply.

Which of the following name an angle in the drawing?

Answers

Answer:

ECB and CDE

Step-by-step explanation:

the others arent the same

The table below represents a function.

x y
0 1
2 5
5 26
7 50
Which equation makes the table true?

f( x) = 2 x + 1
f( x) = x 2 + 1
f( x) = x 2 - 1
f( x) = 2 x - 1

Answers

Answer:

f( x) = x ^2 + 1

The equation  f( x) = x² + 1 makes the table true.

What is equation?

Two or more expressions with an equal sign is called as equation.

The given  table is

x     y

0     1

2     5

5     26

7      50

The table value satisfy with the function f( x) = x² + 1=y

if x=0, then y=f(0)=0² + 1=1

if x=2, then y=f(2)=2² + 1=4+1=5

if x=5, then y=f(5)=5² + 1=25+1=26

if x=7, then y=f(7)=7² + 1=49+1=50

Therefore f(x)=x² + 1 is the equation of table.

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|x-1=-3
Solve for x.

Answers

Answer:

x-1=3

x=3+1

x=4

Is 4 correct.




Explanation:

Question in the picture

Answers

120min/15min=8
8*2100m
=16800m

PLEASE HELP ASAP!!! 28 POINTS!



Consider the statement "Two lines in a coordinate plane are parallel if and only if the slopes of the lines are m and m, where m is any real number." Is this statement true or false? Explain your reasoning.

Answers

Statement is true.

The slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts.

Their:

1. corresponding angles are equal.

2. Alternative interior angles are equal.

3. Consecutive interior angles are supplementary.

4. Consecutive exterior angles are supplementary.

-2x+5(x-2)>7x-6 graph on a number line

Answers

OK............................

Plz answer fast I am timed

Answers

Hello.

Ken had 6.57 yards of tape, and then used 0.5 yards of the tape. Subtract 0.5 from 6.57.

6.57 - 0.5 = 6.07

He has 6.07 of the tape left.

Please can someone help!

Answers

Answer:

Charles: 17 points

Adam: 25 points

Bethany: 30 points

Answer:

Adam scored 25 points.

Bethany scored 30 points.

Charles scored 17 points.

Step-by-step explanation:

A = Adam, B = Bethany, C = Charles

What we know:

C + 8 = A

A +  5 = B

A + B + C = 72

Charles:

C + 8 + 5 = B

C + (C + 8) +  (C + 13) = 72

72 - 8 - 13 = 51

51/3 = 17

Charles scored 17 points.

Bethany:

17 + 13 = 30

Bethany scored 30 points.

Adam:

17 + 8 = 25

Adam scored 25 points.

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2 and passes
through the point (-2,4)?

y - 4= 1/3 (x + 2)
y - 4= -3(x+2)
y - 4= -3(x - 2)
y - 4= 3(x + 2)

Answers

Answer:

y - 4= -3(x - 2)

I'm 101% sure

Y-4=-3(x-2) your welcome

A building has the shape of a pyramid with a square base. The midsegment parallel to the ground of each triangular face of
the pyramid has a length of 58 feet. The perimeter of the base of the pyramid is
feet.

Answers

Answer:

The length of the base the pyramid is 116 feet.

Step-by-step explanation:

See the diagram attached to this answer.

Let Δ OAB is the side triangle of the square pyramid, and A'B' is the mid segment parallel to the ground with length of 58 feet.

Now, Δ OAB and Δ OA'B' are similar triangle and the length of sides of the triangle Δ OA'B' are in the same ratio with the corresponding sides of Δ OAB.

Hence,

⇒ AB = 2 × 58 = 116 feet.

The length of the base the pyramid is 116 feet. (Answer)  

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100

Answers

The correct answer would be x=5

3x-x+2=12
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Answers

Answer:

          x₁ = -5,   x₂ = 5

Step-by-step explanation:

[tex]2x^2 - 52 + 2 = 0\\\\2x^2-50=0\\\\x^2-25=0\\\\x^2=25\\\\x=5\qquad\vee\quad\ x=-5[/tex]

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Answers

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Step-by-step explanation:

Stresses on food producing systems urbanization and loss of biodiversity

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Answers

Answer: Around 90 degrees. Atleast 87 or so.

Step-by-step explanation:

Acute angles are 90 degrees, so I estimated it would be a little less then that, for the other angle measures 128 as it says on your picture.

Stay safe! I’m sorry if it didn’t help you much.

The value of y varies directly with x. When y= 2 4/7, x= 37 .

What is the value of y when x is 27 ?


1 5/7

2 3/7

3 1/7

3 4/7

Answers

Answer:

Option (a).

Step-by-step explanation:

The value of y varies directly with x. It would mean that,

y=kx, where k is constant

When

[tex]y=2\dfrac{4}{7},x=\dfrac{3}{7}\\\\y=\dfrac{18}{7}, x = \dfrac{3}{7}[/tex]

then,

[tex]\dfrac{18}{7}=k\times \dfrac{3}{7}\\\\k=6[/tex]

When x = 27,

[tex]y=6\times \dfrac{2}{7}\\\\y=\dfrac{12}{7}\\\\\text{or}\\\\y=1\dfrac{5}{7}[/tex]

So, the value of y is [tex]1\dfrac{5}{7}[/tex] when x is 27.

what is the solution to the equation 4(x+1) = 8? solve using distributive property

Answers

4(x+1) = 8
4x + 4 = 8
4x = 8-4
4x = 4
x = 1

Answer:

4(1+1)=8

Step-by-step explanation:

x=1


f(x)= -x + 6x² - 10x +4

Answers

x=1.333
x=0.5
See attached picture

What is the percentage of males given that they prefer butter pecan?

Answers

Answer:

67 percent wouldnt it?

plz help ASAP matswatch

Answers

Answer:

Step-by-step explanation:

Write the following equation in standard form.

y=5x+9

Answers

Answer:

5x-y=-9

Step-by-step explanation:

In the point-slope form of a line, y-y1 = m(x-x1) , the slope is represented by ..? the x-coordinate of a point is represented by..? and the y-coordinate of the point is represented by..?

Answers

Answer:

y, m(x)

Step-by-step explanation:

minus them to get this

Solve the equation for h and r. x= r-h/y

Answers

[tex]r \times x = \frac{r - h}{y} \\ [/tex]

Multiply sides by y

[tex]r \times x \times y = r - h[/tex]

Subtract sides minus r

[tex]r \times x \times y - r = - h[/tex]

Multiply sides by -1

[tex] - r.x.y + r = h[/tex]

Factoring r

[tex]h = r(1 - x.y)[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

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