Animal researchers studying cows and horses conducted a two-sample t-test for a difference in means to investigate whether grazing cows eat more grass, on average, than grazing horses. All conditions for inference were met, and the test produced a test statistic of t=1.064 and a P-values of 0.0487 Which of the following is a correct interpretation of the P-value?
A. The probability that cows eat more grass than horses, on average, is 0.0487.
B. The probability that cows eat the same amount of grass as horses, on average, is 0.0487
C. Assuming that the mean amount of grass eaten by cows is greater than the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
D. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487.

Answer:

It's 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.7 – (-2.5)

2.5+6.7

6.7 + (-2.5)

-2.5+6.7

6.7-2.5

neither

-2.5-6.7

2.5-6.7

-6.7+2.5

Answer:true

Step-by-step explanation:

Answer:

The faster computer will complete the job in 20 minutes alone.

Step-by-step explanation:

Given that:

Time taken by both computers = 12 minutes

Time taken by slower computer = 30 minutes

Let,

x be the time taken by faster computer.

[tex]\frac{1}{x}+\frac{1}{30} = \frac{1}{12}[/tex]

[tex]\frac{1}{x} = \frac{1}{12}-\frac{1}{30}\\\\\frac{1}{x} = \frac{5-2}{60}\\\\\frac{1}{x} = \frac{3}{60}\\\\\frac{1}{x} = \frac{1}{20}\\\\x= 20[/tex]

Hence,

The faster computer will complete the job in 20 minutes alone.

Answer:

300

Step-by-step explanation:

25 x 12

Answer:300

Step-by-step explanation: its just 25 x 12

Complete Question

The Hollywood cats are a group of cats that have settled in along the Hollywood Beach in Florida. A group of volunteers feed them and care for them while trying to humanely reduce their numbers (as they are considered a nuisance). If there were 100 cats in the year 2012 and the rate of population change is given

by     [tex]-\frac{1}{4} t-2[/tex]

where t is measured in years, how many cats are projected to be in the group in 2020.

Answer:

The number of total cats left after 8 years T

[tex]T=76[/tex]

Step-by-step explanation:

From the question we are told that

Number of cats 2012 n=100

Number of years t=2012-2020=>8 years

Generally the equation of change in population is mathematically Given as

   [tex]\frac{dp}{dt}= -\frac{1}{4} t-2[/tex]

  [tex]\int dp=\int_0^8 (-\frac{1}{4} t-2)[/tex]

  [tex]p=\frac{-64}{8} -16[/tex]

   [tex]p=-24cats[/tex]

Therefore the number of total cats left after 8 years T is given as

[tex]T=100-24[/tex]

[tex]T=76[/tex]

Answer:

oh

Step-by-step explanation:

Answer:

y = 0.335x + 1.5

Step-by-step explanation:

First, find the slope using two of the given pairs, say, (0, 1.5) and (100, 36.5):

Slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{36.5 - 1.5}{100 - 0} = \frac{35}{100} = 0.35 [/tex]

find the y-intercept (b):

y-intercept (b) is 1.5. At y = 1.5, the value of x is 0. Thus, the y-axis is intercepted by the line.

b = 1.5.

✔️Substitute m = 0.35 and b = 1.5 into y = mx + b.

y = 0.35x + 1.5

Answer:

7

Step-by-step explanation:

hhfndbdbdbueheheheheheheh

Answer:

[tex]P(A \cup B) =0.45[/tex]

Step-by-step explanation:

From the question we are told that

Consumers seen the soap [tex]P_A=40\% =0.40[/tex]

Consumers used the soap [tex]P_B=20\% =0.2[/tex]

Consumers seen/tried the soap [tex]P_x=15\% =0.15[/tex]

Generally the probability that consumers have seen and tried the soap is

[tex]P(A \cup B=P(A)+P(B)-P(A \cap B[/tex]

[tex]P(A \cup B=0.4+0.2-0.15[/tex]

[tex]P(A \cup B) =0.45[/tex]

Answer: They have 775 miles left to be traveled

Step-by-step explanation:

Miles required to travel for vacation = 1,325 miles

Miles already traveled = Miles driven this week + miles driven today

= 420 miles + 130 miles

-=550 miles

Miles remaining to be covered =Miles required to travel for vacation --- Miles already traveled

= 1,325 miles - 550 miles

= 775 miles

Answer:

1762 is the answer

Step-by-step explanation:

Answer:

4,400

Step-by-step explanation:

Answer:

x=1.7320508075688772 or x=−1.7320508075688772

Step-by-step explanation:

(x2−3)(x2+12)=0

x4+9x2−36=0

(x2−3)(x2+12)=0

x2−3=0 or x2+12=0

x=1.7320508075688772 or x=−1.7320508075688772

Answer:

18.33

Step-by-step explanation:

600 -50 ÷ 30

550 ÷30 = 18.333

Answer:

True.

Step-by-step explanation:

The range of the 10  values is 10 - 3 = 7  so that is true.

The median will be the mean of the 2 middle values so that is possible also. The distribution could be, for example:

3 3 3 4 4 4 7 8 8 10  when the median = (4 + 4) / 2 = 4.

Answer:

True.

Step-by-step explanation:

the range of 10 values is 10-3 = 7 so that is true

Answer:

A: 8x-4

B: 16x-8

C: 1:2

Step-by-step explanation:

Answer:

[tex] x = 6\sqrt{2}[/tex]

Step-by-step explanation:

Reference angle = 45°

Adjacent side = 6

Hypotenuse = x

Applying trigonometric ratio, we have:

[tex] cos(45) = \frac{6}{x} [/tex]

Multiply both sides by x

[tex] x*cos(45) = 6 [/tex]

Divide both sides by cos(45)

[tex] x = \frac{6}{cos(45)} [/tex]

[tex] x = \frac{6}{\frac{\sqrt{2}}{2} [/tex] (cos 45 = √2/2)

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

[tex] x = \frac{12}{\sqrt{2}} [/tex]

Rationalize

[tex] x = \frac{12*\sqrt{2}}{\sqrt{2}*\sqrt{2} [/tex]

[tex] x = \frac{12*\sqrt{2}}{2} [/tex]

[tex] x = \frac{6*\sqrt{2}}{1} [/tex]

[tex] x = 6\sqrt{2}[/tex]

Hey there!

[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]

[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex]x = \frac{5}{3}[/tex]

Step-by-step explanation:

The expression under the square root is [tex]\sqrt{4x^2 - 20x + 25}[/tex]

This is equivalent of [tex](2x-5)^2[/tex]

We can check this by using the formula
[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

where [tex]\\a = 2x so a^2 = (2x)^2 = 4x^2\\\\b = -5 so b^2 = (-5)^2 = 25\\\\2ab = (2)(2x)(-5) = -20x\\[/tex]

So

[tex]\sqrt{4x^2 - 20x + 25} = \sqrt{(2x-5)^2}[/tex] which is [tex](2x-5)[/tex]

(The square root of the square of an expression is the expression itself)

So that gives us

[tex]2x - 5 = 5-2x\\[/tex]

Collecting like terms on each side gives us

[tex]2x + 2x = 5 -(-5)\\\\4x = 10\\\\x = 10/4 = 5/3[/tex]

Answer:

35.1 and 276.48

Step-by-step explanation:

Answer:

The correct answer is: 1.0266 ×104

Step-by-step explanation:

Answer:

a.)Point C will be either (4.82, 7.41) or ( -4.82, 2.59)

b.) -x² + 2x + 6y - y² - 5= 0  , 8y - 4x = 11

Step-by-step explanation:

As given A(2,1,3) and B(0,5,0)

a.)

We have to find C  in the xy-plane

⇒ C is of the form (x, y, 0)    ( Because in xy plane , z coordinate is zero)

Now, given AB and BC are the legs of the right triangle .

AB = (0, 5, 0) - (2, 1, 3) = ( -2, 4, -3)

BC = (x, y, 0) - (0, 5, 0) = ( x, y-5, 0)

As AB and BC are legs of triangle

⇒AB is perpendicular to BC

⇒(AB).(BC) = 0

⇒( -2, 4, -3).( x, y-5, 0) = 0

⇒ -2x + 4(y-5) -0 = 0

⇒ -2x + 4y- 20 = 0

⇒ -x + 2y- 10 = 0

⇒ 2y = 10 + x

⇒ y = 5 + [tex]\frac{x}{2}[/tex]         ......(1)

As ABC is making an isosceles right triangle

It means two sides of the triangle are equal

Now,

|AB| = √(-2)² + (4)² + (-3)² = √4+16+9 = √29

|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²

Now,

AS AB = BC

⇒|AB| = |BC|

⇒|AB|² = |BC|²

⇒29 = (x)² + (y-5)²

⇒29 = (x)² + (5 + [tex]\frac{x}{2}[/tex] -5)²

⇒29 = (x)² + ( [tex]\frac{x}{2}[/tex] )²

⇒29 = x²( 1 + [tex]\frac{1}{4}[/tex] ) = x²(  [tex]\frac{5}{4}[/tex] )

⇒ x² = [tex]\frac{116}{5}[/tex] = 23.2

⇒ x = 4.82 , -4.82

⇒y = 7.41 , 2.59

so, Point C will be either (4.82, 7.41) or ( -4.82, 2.59)

b.)

As given AB is the hypotenuse of the right triangle

S, AC and CB will perpendicular to each other

Now,

AC = (x, y, 0) - ( 2, 1, 3) = ( x-2, y-1, -3)

CB = (0, 5, 0) - (x, y, 0) = (-x, 5-y, 0)

As, AC and CB is perpendicular

⇒(AC).(CB) = 0

⇒( x-2, y-1, -3).(-x, 5-y, 0) = 0

⇒(x-2)(-x) + (y-1)(5-y) - 0 = 0

⇒-x² + 2x + 5y - y² - 5 + y = 0

⇒-x² + 2x + 6y - y² - 5= 0    ..........(2)

As ABC is making an isosceles right triangle

It means two sides of the triangle are equal

Now,

|AC| = √(x-2)² + (y-1)² + (0-3)² = √(x-2)² + (y-1)² + 9

|BC| = √(x)² + (y-5)² + 0² = √(x)² + (y-5)²

Now,

AS AC = BC

⇒|AC| = |BC|

⇒|AC|² = |BC|²

⇒(x-2)² + (y-1)² + 9  = (x)² + (y-5)²

⇒x² + 4 - 4x + y² + 1 - 2y + 9 = x² + y² + 25 - 10y

⇒ 4 - 4x + 1 - 2y + 9 = 25 - 10y

⇒14 - 4x - 2y  = 25 - 10y

⇒10y - 2y - 4x = 25 - 14

⇒8y - 4x = 11            ........(3)

Now, we have 2 equations

-x² + 2x + 6y - y² - 5= 0  , 8y - 4x = 11

Solve these equations to find x, y

Answer:

3 pieces

Step-by-step explanation:

Answer:

I believe communist just because or there influences in world war I and world war II they were on the communist side and part of the USSR at the time