In an experiment, 16 babies were asked to watch a climber attempt to ascend a hill. On two occasions, the baby witnesses the climber fail to make the climb. Then, the baby
witnesses either a helper toy push the climber up the hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random
fashion. A second part of this experiment showed the climber approach the helper toy, which is not a surprising action, and then the climber approached the hinderer toy,
which is a surprising action. The amount of time the baby watched the event was recorded. The mean difference in time spent watching the climber approach the hinderer
toy versus watching the climber approach the helper toy was 1.22 seconds with a standard deviation of 1.58 seconds. Complete parts a through c.

Answer:

7p+7=37-3p

10p=30

p=3

answer : p=3 because ke=be

Answer:

Congruent triangles

Or

Similar triangles

Answer:

[tex](x-3)^2 + (y-2)^2 = 16[/tex]

Step-by-step explanation:

This is because the centre is at (3,2) and the radius of the circle is 4 and you square all the terms to find the equation of the circle.

Answer:

√3 cm

or

1.73 cm to the nearest hundredth.

Step-by-step explanation:

Each side must be 2 cm long

Using Heron's formula

Area = √(s(s-a)(s-b)(s-c)  where s = semi-perimeter, a , b and c are the 3 side lengths.

So here s = 6/2 = 3 and all the sides = 2 so

Area  = √(3(3-2)^3

         =  √3 cm.

Answer:

Possible value of m is 14

Step-by-step explanation:

Answer:

5,400.00

Step-by-step explanation:

hope this helps

Answer:

it would be 24 or 27

Step-by-step explanation:

because for a parralelogram you multiply the base and height and you gave 3 numbers so it is either 6 times 4 which is 24.or you multiply 6 times 4.5 and get 27.

Answer: 9

Step-by-step explanation:

½bh = 29.25

½ × 6.5 × b = 29.25

B= 29.25/ 3.25

The length of the base of the triangle is 9 centimeters.

The area of a triangle is simply expressed as half base multiplied by height.

Area A = 1/2 × base length × height

Given the dimensions of the triangle:

Area A = 29.25 square centimeters

Height = 6.5 centimeters

Base length =?

To find the height of the triangle, plug the given values into the above formula and solve for h:

Area A = 1/2 × base length × height

29.25  = 1/2 × base length × 6.5

29.25  = base length × 3.25

Base length = 29.25 / 3.25

Base length = 9 cm.

Therefore, the base length measures 9 centimeters.

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Answer:

[tex]144[/tex] [tex]inches^2[/tex]

Step-by-step explanation:

Hey there!

In order to find the area of a triangle, you need to:

Multplipy the base by the height

Then you take that product and multiply it by 1/2 (basically divide it by 2)

Then you get your area!

Base: 19

Height: 12

19 x 12

228

228 x 1/2

228/2

114

So the area of this triangle is [tex]144[/tex] [tex]inches^2[/tex]

Answer:

D. Figure

Step-by-step explanation:

Because  it go's black cream black cream  and D is the only one that shows that

Hope This Helped

The correct figure for repeats in the tessellation shown is shown in

''Option D''.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The tessellation shown in image.

Now, By figure of the tessellation shown we get;

Figure shown in option D is figure for repeats in the tessellation

Thus, The correct figure for repeats in the tessellation shown is shown in

''Option D''.

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Answer:

See below ~

Step-by-step explanation:

Finding the distance of each side length :

Perimeter :

Area :

Answer:

Step-by-step explanation:

Answer:2/12

Step-by-step explanation:

2/12 is the probability of rolling 2 4's in a row.

The function for the total cost will be given as h(x)  =  5.94x  +  2.25.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that:-

The function h(x) for total cost will be calculated as:-

h ( x )  =  4.95x   +   0.99x  +   2.25

h ( x )  =  5.94x   +   2.25

Therefore the function for the total cost will be given as h(x)  =  5.94x  +  2.25.

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The function for the total cost will be given as h(x)  =  5.94x  +  2.25.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that:-

The function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy company

The function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company.

The function h(x) for total cost will be calculated as:-

h ( x )  =  4.95x   +   0.99x  +   2.25

h ( x )  =  5.94x   +   2.25

Therefore the function for the total cost will be given as h(x)  =  5.94x  +  2.25.

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The evaluation of the function [tex]f(x)=e^x[/tex] at a=0 and x=5 by the taylor series will have a value 65.37.

We know the fromula of taylor series is given as:

[tex]f(x)=f(a)+\dfrac{f'((a)}{1!}(x-a)+\dfrac{f''(a)}{2!}(x-a)^2+\dfrac{f'''(a)}{3!}(x-a)^3.................[/tex]

Now for the function [tex]f(x)=e^x[/tex] the taylor's series will become.

[tex]f(x)=e^a+e^ax+\dfrac{e^ax^2}{2!}+\dfrac{e^ax^3}{3!}+\dfrac{e^ax^4}{4!}[/tex]

[tex]f(x)=1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+\dfrac{x^4}{4!}[/tex]

So at x=5 the values will become

[tex]f(x)=1+5+12.5+20.83+26.04=65.37[/tex]

hence the evaluation of the function [tex]f(x)=e^x[/tex] at a=0 and x=5 by the taylor series will have a value 65.37.

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Answer:

C.8/27

Step-by-step explanation:

The distance between park station 1 and the point where the flare was set off is 73.9 km.

Distance is the length between two points expressed in meters or kilometers.

To calculate the distance between park station 1 and the point where the flare was set off can be calculated using Sine Rule

Formula:

Where:

Make a the subject of the equation

From the diagram,

Given:

Substitute these values into equation 2

Hence, the distance between park station 1 and the point where the flare was set off is 73.9 km.

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Answer:

10 bags

Step-by-step explanation:

Answer:

Step-by-step explanation:

area=s*s

       =3*4

        =12cm squared

Perimeter=S+S+S+S

                = 4+4+3+3

                 =14cm

HOPE I HELPED

Answer:

[tex]5^{-8}[/tex]

Step-by-step explanation:

[tex]\sf \boxed{\dfrac{a^{m}}{a^n}=a^{m-n}}[/tex]

  [tex]\sf \dfrac{5^{-4}}{5^{4}}=5^{-4-4}[/tex]

         [tex]= 5^{-8}[/tex]

---Multiply a x c

Quadratic Form: ax^2 + bx + c

4 x -25 = -100

---Find a factor pair of -100 that adds up to -15

-20 x 5 = - 100

-20 + 5 = -15

---Separate the b term into your two factors

4n^2 + 5n - 20n - 25

This can take some trial and error (though there are only two options) because when you factor, you want the inside of the parentheses to be the same. If you look at the next step, (4n + 5) appears twice.

---Factor each binomial

n(4n + 5) - 5 (4n + 5)

---Rewrite

(n - 5)(4n + 5)

What you're really doing here is factoring out the (4n + 5), which leaves you with the terms that you factored out in the previous step. You then combine these terms into one set of parenthesis.

Answer: (n - 5)(4n + 5)

Hope this helps!

[tex] \Large{\boxed{\sf k = -15}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf 18 = -k + 3 [/tex]

[tex] \\ [/tex]

Subtract 3 from both sides:

[tex] \sf 18 - 3 = -k + 3 - 3 \\ \\ \sf 15 = -k [/tex]

[tex] \\ [/tex]

Divide each side by -1:

[tex] \sf \dfrac{15}{-1} = \dfrac{-k}{-1} \\ \\ \\ \boxed{\boxed{\sf k = -15}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

28

Step-by-step explanation:

each question is worth 2 points and he missed 6,6 times 2 is 12.therefore you subtract 40 by 12 and get 28 :)

probability of getting a tail , PA = 1/2

probability of gettin a number 2 , PB = 1/8

now ,

the probability to get tail and 2 = PA x PB = 1/2 x 1/8 = 1/16.

hence it's the answer.

By : Modern Einstein