A developmental psychologist would like to determine whether infants display any color preferences. A stimulus consisting of four color patches (red, green, blue, and yellow) is projected onto the ceiling above a crib. Infants are placed in the crib, one at a time, and the psychologist records how much time each infant spends looking at each of the four colors. The color that receives the most attention during a 100-second test period is identified as the preferred color for that infant. The preferred colors for a sample of 60 infants are shown in the following table:
Red Green Blue Yellow
20 12 18 10
a. Do the data indicate any significant preferences among the four colors? Test at the .05 level of significance.
b. Write a sentence demonstrating how the outcome of the hypothesis test would appear in a research report.

Write 7% as a decimal by dividing by 100:

7/100 = 0.07

Multiple the price of the mower by the decimal:

350 x 0.07 = 24.50

The tax = $24.50

Answer:

8.4753518e+20

Step-by-step explanation:

I used calculator. You should've used a calculator too.

Answer:

27,29

Step-by-step explanation:

Answer:

Step-by-step explanation:

we fix tvs

20h+60

electronic depot

40h+0

Answer:

The volume of the soup pot is of 226.19 cubic inches.

Step-by-step explanation:

Format of a soup pot:

A soup pot has a cylindrical format.

Cylinder volume:

The volume of a cylinder, with radius r and height g is given by:

[tex]V = \pi r^2h[/tex]

The soup pot is 8 inches tall with a radius of 3 inches.

This means that [tex]h = 8, r = 3[/tex]

What is the volume of the soup pot?

[tex]V = \pi r^2h = \pi*3^2*8 = 72\pi = 72(3.1415...) = 226.19[/tex]

The volume of the soup pot is of 226.19 cubic inches.

Answer:

1500/125=12

58x12=696

not sure

Step-by-step explanation:

Answer:

[tex]g(x)=(x-4)^2+1[/tex]

Step-by-step explanation:

The graph is shifted 4 to the right and 1 up. When a graph is moving left or right, the sign switches. Right means -, left means +.

The equation of the blue graph is g(x)  = (x+4)² - 2

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

x+4 because adding 4 to the x coordinate would shift it over 4

y+2 because adding 2 to the y coordinate would shift it up 2

⇒ g(f(x)) = ( x+4, y +2 )

⇒ g(x) + 2 = (x+4)²

Hence, the equation of the blue graph is g(x)  = (x+4)² - 2

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Answer:

6

Step-by-step explanation:

the rest are boys

Answer:

[tex]7 \\ 5 \times {1.1}^{x - 1} \\8 \\ \frac{1}{9} = a \times {( - 3)}^{8 - 1} \\ a = \frac{1}{9} \times \frac{ - 1}{ {3}^{7} } = \frac{ - 1}{ {3}^{9} } \\ \\ \frac{ - 1}{ {3}^{9} } \times {( - 3)}^{x - 1} [/tex]

Answer:

see explanation

Step-by-step explanation:

The nth term ( explicit rule ) of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

(7)

[tex]a_{n}[/tex] = 5 [tex](1.1)^{n-1}[/tex]

(8)

Given a₈ = [tex]\frac{1}{9}[/tex] , then

a₁ [tex](-3)^{7}[/tex] = [tex]\frac{1}{9}[/tex]

a₁ × - 2187 = [tex]\frac{1}{9}[/tex] ( divide both sides by - 2187 )

a₁ = - [tex]\frac{1}{19683}[/tex]

Then

[tex]a_{n}[/tex] = - [tex]\frac{1}{19683}[/tex] [tex](-3)^{n-1}[/tex]

Answer: 1/10

Step-by-step explanation:

Answer:

1/10 pound

Step-by-step explanation:

If you set up the equation as 3/5 - 1/2, you'll have to give them a common denominator. Multiply 3/5 by 2 and multiply 1/2 by 5, and now you can rewrite this equation as 6/10 - 5/10. From here, just subtract and you'll get 1/10.

i think

cy

is the answer

.

Answer:

32 sq. ft.

Step-by-step explanation:

1/2 (8x8)=1/2(64)=32

Answer:

D. a = m + 30

Step-by-step explanation:

It's not A, because that would be dividing Malik's score in half to get Alexia's score.

B only works for the first line.

C is adding 10 to Malik's score, and the difference is greater than that...it's 30 points.

2.77778 yards

divide the length value by 36

Answer:

B

Step-by-step explanation:

To find [tex](\frac{f}{g} )(x)[/tex] you can write the expression as [tex]\frac{f(x)}{g(x)}[/tex]. We can substitute the f(x) and g(x) into the expression to get: [tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex]. Now we need to find the domain. The numerator is fine, and the domain is all real numbers, but in a fraction, the denominator cannot equal 0. We can write:  [tex]2x + 3\neq 0[/tex] and we can solve it:

[tex]2x\neq -3[/tex]

[tex]x\neq -\frac{3}{2}[/tex]

This is the same as option B.

The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2. Option C is correct

Given the functions

f(x) = 3√4x

g(x) = 2x + 3

We are to find the resulting function (f/g)(x)

(f/g)(x) = f(x)/g(x)

(f/g)(x) = 3√4x/2x+3

Restriction to the function occurs at the point where the denominator is zero.

2x = 3 = 0

2x = -3

x = -3/2

Hence the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2

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Answer:

A

Step-by-step explanation:

Answer:

325°

Step-by-step explanation:

The smallest interior angle has the largest exterior angle

35+x = 360

x = 360-35

x=325

Answer:

he had 16 muffins

Step-by-step explanation:

can i have brainly

Answer:

x = 45

Step-by-step explanation:

Straight line has 180 degrees; so if you add all the angles up:

2x + x + x = 180

4x = 180

x = 45 degrees

Answer:

45°

Step-by-step explanation:

2x + x + x = 180°

4x = 180°

x = 180°/4

x = 45°

Answer:

(0, 9), (0, 0), (0, 1)

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

AB = 1- (-2) = 1+2 = 3units

Answer:

what does fy mean

Step-by-step explanation:

Step-by-step explanation:

I tell my friends about this and I found that FY means Fiscal year

Answer: [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

First, we need to find the common denominator

The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.

2 × 5 = 10

So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:

[tex]\frac{3*2}{5*2}[/tex] = [tex]\frac{6}{10}[/tex]         We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.

Do the same thing for the other one:

[tex]\frac{1*5}{2*5}[/tex] = [tex]\frac{5}{10}[/tex]

Finally, subtract the two fractions to find the difference between the two times:

[tex]\frac{6}{10} -\frac{5}{10}[/tex] = [tex]\frac{1}{10}[/tex]

The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.

Answer:

option D)

Step-by-step explanation:

when a equilateral triangle  is rotated about x-axis

rotating equilateral triangle about x-axis will lead to the formation of cone in.

the height of the equilateral triangle  will represent height of the cone.

the base of the equilateral triangle will represent the circular base of the cone

and the slant height of the cone will represented by the sides.

hence, the correct answer will cone which is option D)

Answer: B. 5 pieces

Step-by-step explanation:

36.25 + 2.75 = 39.00 + 2.75 = 41.75 + 2.75 = 44.50 + 2.75 = 47.25 + 2.75 = 50

Answer:

8 rides

Step-by-step explanation:

$30-$13

=$17

1 ride= $2

x ride =$17

x= 17/2

= 8.5

= 8 rides

You take Rocky to the Del Mar Fair. His mom gives him $30 to spend.

It costs $13 to get in and $2 for every ride. he can ride 8 rides.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

You take Rocky to the Del Mar Fair. His mom gives him $30 to spend.

It costs $13 to get in and $2 for every ride.

$30 - $13

= $17

Let x be the ride he can rides.

1 ride = $2

x ride = $17

x = 17/2

= 8.5

= 8 rides

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Answer: A

Step-by-step explanation: