A marine biologist wants to test the effect of water temperature on the length of time sea otters can remain under water during a dive. He gathers data on randomly-selected dives by 7 different otters recording dive duration (in seconds) and water temperature (in degrees Celsius). A computer regression analysis of his data is given below. Assume all conditions for inference for slope have been met. Predictor Coef SE Coef Constant 52.789 5.257 10.04 0.000 Water temp 3.3684 0.4216 7.990 0.002 5.557 R-Sg 92.7% R-Sg (adj ) 91.3% = S =
Which of the following is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship?
(a) 0.4216
(b) 0.4216
(c) 5.257
(d) 5.257
(e) 5.557
Which of the following is the best interpretation of the quantity S
(a) The sum of the squared deviations between each observed dive duration and the dive 2.
(b) The sum of the squared deviations between each observed water temperature and the
(c) The average distance between the water temperature for each dive and the mean water
(d) Predictions of dive duration from water temperature based on this regression model will
(e) The average distance between the duration of each dive and the mean dive duration for duration predicted by the regression equation is 5.557 seconds. water temperature predicted by the regression equation is 5.557 seconds. temperature for all the dives in this sample is about 5.557 seconds. be off by an average of about 5.557 seconds. all the dives in this sample is about 5.557 seconds.

Answer: 120° obtuse.

Step-by-step explanation:

The sum of the angles in a triangle is 180°. Since two of the angles given are 35° and 25°, the third angle will be:

= 180° - (35° + 25°)

= 180° - 60°

= 120°

This is an obtuse angle since it's greater than 90° but less than 180°

The  value of the given polynomial equation would be: [tex]6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]

In contrast to the vertex form of a quadratic equation, which is y = a (x h) 2 + k, the normal quadratic form is written as an x 2 + b x + c = y. The constant that indicates whether the parabola is facing up (+ a) or down ( a) is called a. It is represented in both forms by the letters y, x, and a.

In the equation we are given the value of y as: 1

[tex]6y2 + 3y - 1 4 \\\\6(1)^2 + 3(1) - 1 = 6 + 3 - 1 = 8.[/tex]

Therefore, we can say that the value of the given polynomial is: 8

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Complete question is: Find 6y2 + 3y - 1 4 for y = 1

Answer:

x= 9

y= 3 root 3

Step-by-step explanation:

to find the shorter leg length you have: hypotenuse/2

[tex] \frac{6 \sqrt{3} }{2} = 3 \sqrt{3} [/tex]

to find the longer leg length you have: shorter leg × root 3

[tex]3 \sqrt{3} \times \sqrt{3} = 3 \sqrt{9 } = 3(3) = 9[/tex]

Given:

D varies as R and S, and inversely as t.

D=12, R=3, S=20, and t=5

To find:

The value of D when R=15, S=4 and t=8.

Solution:

It is given that D varies as R and S, and inversely as t. So,

[tex]D\propto \dfrac{RS}{t}[/tex]

[tex]D=\dfrac{kRS}{t}[/tex]                ...(i)

Where, k is the constant of proportionality.

We have, D=12, R=3, S=20, and t=5. Substituting these values in (i), we get

[tex]12=\dfrac{k(3)(20)}{5}[/tex]

[tex]12=12k[/tex]

[tex]\dfrac{12}{12}=k[/tex]

[tex]1=k[/tex]

Substituting [tex]k=1[/tex] in (i), we get the required equation.

[tex]D=\dfrac{(1)RS}{t}[/tex]

[tex]D=\dfrac{RS}{t}[/tex]

We need to find D when R=15, S=4 and t=8. Substituting R=15, S=4 and t=8 in the above equation, we get

[tex]D=\dfrac{(15)(4)}{8}[/tex]

[tex]D=\dfrac{60}{8}[/tex]

[tex]D=7.5[/tex]

Therefore, the required value of D is 7.5.

Answer:

6/7

Step-by-step explanation:

36/42 = 36:6/42:6 = 6/7

Step-by-step explanation:

this means :

f(x) / (x + 2) = (x² - 5x + 8) + 8/(x + 2)

f(x) = (x + 2)(x² - 5x + 8) + 8 =

= x³ - 5x² + 8x + 2x² - 10x + 16 + 8 =

= x³ - 3x² - 2x + 24

Answer:

10

I wish you luck in your assignments.

Answer:

792ft

Step-by-step explanation:

V=LxWxH, so all you do is do 11 times 8 times 9 to get the answer to that question

2 copies of 1/10 can be written as 2/10

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here 2 copies of 1/10 thus 2×1/10=2/10

                                                                =1/5

Hence, 2 copies of 1/10 can be written as 2/10

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Answer:

do 180-36-90 and then what you get add a ° and it should be 53°

Therefore , the solution of the given problem of volume comes out to be

V =355/113 * (5)² * 7  thus correct option is V equals 355 over 113 times 6 squared times 8.

Volume, which is expressed in cubic units, is a unit of measurement for the 3-dimensional space occupied by matter or encircled by a surface. The SI unit of volume = area * height is the cubic metre (m3), which is a derived unit. A "litre" (L) is the name given to the cubic decimeter (dm3).

Here,

The volume of cylinder = πr²h

Given : Diameter = 12 inches

radius = 12/2 = 6 inches

Height = 8 inches

Thus ,

To find the volume  we put the all the above values in the formula:

=> V = πr²h

=> V = 22/7 * 6² * 8

=> V =355/113 * (6)² * 8

Therefore , the solution of the given problem of volume comes out to be

V =355/113 * (5)² * 7  thus correct option is V equals 355 over 113 times 6 squared times 8.

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Answer:

V equals 355 over 113 times 6 squared times 8.

Step-by-step explanation:

Step-by-step explanation:

TRY WITH SOME Trigonometric FUNCTION.

IF SOMETHING IS Wrong . I AM STILL A STUDENT

The quadratic equation 4(x² − 5) − 1 = 3 has its solutions to be are √6 and -√6

From the question, we have the following parameters that can be used in our computation:

4(x 2−5)−1=3

Express properly

This gives

4(x² − 5) − 1 = 3

Subtract -1 from both sides of the equation

So, we have the following representation

4(x² − 5) = 4

Divide both sides by 4

This gives

x² − 5 = 1

Subtract -5 from both sides of the equation

So, we have the following representation

x² = 6

Take the square root of both sides

x = ±√6

Hence, the solution is ±√6

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Answer: One way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:

the 1/2 teaspoon measuring spoon 3 times to measure 3/2 = 1 1/2 teaspoons

and use the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons

3 1/2 + 2/3 = 3 1/6

Another way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:

the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons

and use the 1/2 teaspoon measuring spoon 6 times to measure 6 * 1/2 = 3 teaspoons

3 + 2/3 = 3 1/6

So, there are two ways to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2-teaspoon measuring spoon, one is by using 3 times 1/2 teaspoon measuring spoon and 6 times 1/3 teaspoon measuring spoon and the second one is by using 6 times 1/3 teaspoon measuring spoon and 3 times 1/2 teaspoon measuring spoon.

Step-by-step explanation:

Answer:

The answer would be the second and fourth options.

Step-by-step explanation:

This can be solved by using a calculator, the prime factor method, etc. Good luck on your math journey!

Answer:

Area of parallelogram = ab sinx

a = Area/b sinx

a = 256/24 sin52

a = 10.67 sin52

a = 10.53

Perimeter  = 2(ab)

             P = 2 (10.53)(24)

             P = 252.72 x 2

             P = 505.44

Answer:

are the values of a or b given?

Step-by-step explanation:

Answer:

y-4=-7/4(x+4)

Step-by-step explanation:

Point Slope Form: y-y*sub*1=m(x-x*sub*1)

Parallel lines have the same slope as the line to which they are parallel.

y-4=-7/4(x+4)

Hope this helps :)

Answer:

EVALUATE THE FUCTION WHEN: f (1/2 % 32)////////21+×_37- 4 = 37.2

EVALUATE THE FUNCTION WHEN f(3+38 x + formula of angle are = _1/2 decimals point 78.32)*/% =3( 92.03

Step-by-step explanation:

HOPE IT HELPS A LOT!!

Answer:

are there any other information

Answer: 53

Step-by-step explanation:

Answer:

Okay so!

Step-by-step explanation:

33, 34, 38, 42, 47, 47, 48, 49, 51.

The median is 47 because it turns up twice.

Answer:

184

Step-by-step explanation:

A triangular prism has 2 triangular faces and 3 rectangular faces.

solve

Find the area of each face  1/2x6x4=12 do twice for the two sides so its 24 with them both added then 5x10=50 do it twice for the other 2 sides then you got the bottom 6x10=60 only one time because the top is not a side
Surface area

  12 + 12 + 50 + 50 + 60= 184     hope it helps

The surface area of the prism is 104 mm^2.

Connect three rectangles edge to edge. Now close their triangular mouths from both ends. That shape is called a triangular prism.

We are given that;

Height=4mm, Base=6mm, sides=5mm, 5mm and 6mm

Now,

Plug in the values into the formula for surface area and simplify:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base area)

Surface area = (16 × 5) + (2 × 12)

Surface area = 80 + 24

Surface area = 104 mm^2

Therefore, by the area of the triangular prism answer will be 104 mm^2.

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So Rahquez is traveling 20 mph, and Francesca is traveling 25 mph in opposite direction.

Acceleration is the rate of change of velocity of an object. It is a vector quantity that has both magnitude and direction. Mathematically, it is the derivative of velocity with respect to time. In simpler terms, it is the change in speed or direction of an object over time. If an object is speeding up, it is said to have a positive acceleration, while if it is slowing down, it has a negative acceleration.

Velocity is a vector quantity that describes the rate of change of an object's position. It has both magnitude and direction. The magnitude of velocity is the speed of an object, which is the distance covered per unit of time. The direction of velocity is the direction of the motion of an object. The standard unit of velocity is meters per second (m/s) or miles per hour (mph).

Let's call Rahquez's speed "R" and Francesca's speed "F". We know from the problem that:

F = R + 5 (Francesca is traveling 5 mph faster than Rahquez)

We also know that after 3 hours they are 105 miles apart, so we can set up an equation using distance = speed x time:

105 = (R + F) * 3

Now we can substitute the first equation into the second equation:

105 = (R + (R + 5)) * 3

Simplifying and solving for R, we get:

R = 20 mph

So Rahquez is traveling 20 mph, and Francesca is traveling 25 mph (since F = R + 5).

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9514 1404 393

Answer:

  342 mm²

Step-by-step explanation:

The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...

  A = 1/2bh

  A = (1/2)(9 mm)(76 mm) = 342 mm²

The triangle shown has an area of 342 mm².

_____

Additional comment

The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)

1. P=2.625

2. variable= p

3. operator= subtraction

4. constants= -10, 32

5. coefficients= 16p

6. 5w + 50 = 150    w=20

The perimeter of the new octagon be 24 feet.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.

There are numerous uses in real life for perimeter calculations. The measurement of the fence needed to completely enclose yard or garden is called the perimeter. How far a wheel or circle will roll in one revolution is determined by its circumference, or perimeter.

The length of each side of an octagon is the same. In order to calculate the perimeter of an octagon, multiply 8 by the length of its sides.

Given that the perimeter of an octagon is 27 feet

so the length of its side is 27/8 feet

if the side of the octagon shrink by a scale factor of 8/9

The side of new octagon is (27/8) * (8/9)

The side of new octagon is 3 feet.

So the perimeter of new octagon is 8 * side

⇒ the perimeter of new octagon = 8 * 3 feet

⇒ the perimeter of new octagon = 24 feet

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Answer:

RS = 6

Step-by-step explanation:

RS² = SU*ST (secant-tangent rule)

Substitute

(x + 6)² = (x + 4 + 5)(x + 4)

(x + 6)(x + 6) = (x + 9)(x + 4)

x(x + 6) +6(x + 6) = x(x + 4) + 9(x + 4)

x² + 6x + 6x + 36 = x² + 4x + 9x + 36

x² + 12x + 36 = x² + 13x + 36

Collect like terms

x² - x² + 12x - 13x = -36 + 36

-x = 0

x = 0

✔️RS = x + 6

Plug in the value of x

RS = 0 + 6

RS = 6