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marusya05 [52]
3 years ago
5

A researcher believes that there is a difference in how cautious male stray cats and female stray cats are when approaching peop

le. He knows that the stray cat population is 50% male and 50% female. In order to test this hypothesis, he visits 15 different areas where stray cats live and records the gender of the first cat to approach him. He finds that 11 of the 15 cats that approach him are male. Using a sign test and an alpha of .05: A) What is the null hypothesis
Mathematics
1 answer:
Anika [276]3 years ago
5 0

Answer:

The null hypothesis is that there is no difference in the mean number of male and female cats

H₀; μ₂ - μ₁ = 0

Step-by-step explanation:

The given parameters are;

The given percentage of male stray cat population = 50%

The given percentage of female stray cat population = 50%

The number of areas the researcher visits, n = 15

The number of stray male cats he finds = 11

The kind of test to be performed = Sign test

The significance level, α = 0.05

A) Therefore the null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0.

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PLZ SHOW ALL WORK
lara31 [8.8K]

Part I
We have the size of the sheet of cardboard and we'll use the variable "x" to represent the length of the cuts. For any given cut, the available distance is reduced by twice the length of the cut. So we can create the following equations for length, width, and height.
width:  w = 12 - 2x
length: l = 18 - 2x
height: h = x

Part II
v = l * w * h
v = (18 - 2x)(12 - 2x)x
v = (216 - 36x - 24x + 4x^2)x
v = (216 - 60x + 4x^2)x
v = 216x - 60x^2 + 4x^3
v = 4x^3 - 60x^2 + 216x

Part III
The length of the cut has to be greater than 0 and less than half the length of the smallest dimension of the cardboard (after all, there has to be something left over after cutting out the corners). So 0 < x < 6

Let's try to figure out an x that gives a volume of 224 in^3. Since this is high school math, it's unlikely that you've been taught how to handle cubic equations, so let's instead look at integer values of x. If we use a value of 1, we get a volume of:
v = 4x^3 - 60x^2 + 216x
v = 4*1^3 - 60*1^2 + 216*1
v = 4*1 - 60*1 + 216
v = 4 - 60 + 216
v = 160

Too small, so let's try 2.
v = 4x^3 - 60x^2 + 216x
v = 4*2^3 - 60*2^2 + 216*2
v = 4*8 - 60*4 + 216*2
v = 32 - 240 + 432
v = 224

And that's the desired volume.
So let's choose a value of x=2.
Reason?
It meets the inequality of 0 < x < 6 and it also gives the desired volume of 224 cubic inches.
3 0
3 years ago
Need help asap please!!<br> This is the only one i don’t know i’m stuck!
lyudmila [28]

Answer:

Reminder that is this form  a(b)^x  where  a > 0

When   b > 0  but < 1 that is a decay function

When   b > 1 than its a growth function

Step-by-step explanation:

So following this you can figure out the answer

g(x)=0.3(x)      

this is neither since there is no exponent (linear)

H=72(56)^t    

this is growth since b  = 56

A=(43)^t        

this is growth since b  = 43 ("a" is understood as "1")

H=5.9(0.82)^t      

this is decay since b =  0.82

y=0.8(3.6)^t      

this is growth since b = 3.6

f(t)=0.72(15)^t    

this is growth since b  = 14  

A=49(8)^t      

this is growth since b  = 8

6 0
3 years ago
What is cos of negative pi/3?<br> what is sin of negative pi/3?
stellarik [79]
Pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2 
4 0
3 years ago
Read 2 more answers
6th grade math help me plzzzzz
Pepsi [2]

Answer: -1

3 + (-4) = -1

7 0
3 years ago
Read the instructions
nordsb [41]

Answer:

Step-by-step explanation:

\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}

Multiply the equation by 4

4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\

Multiply the equation by 6

6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

-3x + 14y = 8 ------------------------(II)

Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3              15x - 18y = 12

(II)*5           <u>-15x  + 70y = 40</u>     {Now add}

                          52y = 52

                              y = 52/52

                            y = 1

Substitute y =1 in equation (I)

5x - 6*1 =  4

5x - 6 = 4

      5x = 4 +6

      5x = 10

         x = 10/5

x = 2

7 0
3 years ago
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