A family has two cats named Gordo and Flaco. Gordo weighs 15 pounds and Flaco weighs 8 pounds. A cat’s weight is classified as unhealthy if the weight is located in the top 5% or bottom 5% of all cat weights. The distribution of cat weights is approximately normal with mean 9.5 pounds and standard deviation 1.5 pounds. Which of the following is the best description of Gordo’s and Flaco’s weights?

Answers

Answer 1

Answer:

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes Gordo unhealthy.

Step-by-step explanation:

μ = mean weight = 9.5 pounds

σ = standard deviation = 1.5 pounds

This is a normal distribution problem

We first calculate the limit of the bottom 5% of weights

Let the z-score for this limit be z'

P(z < z') = 0.05

From the normal distribution table,

z' = -1.645

And the limit for the top 5% which is z" = 1.645.

The weight that corresponds to these scores are then calculated.

Standardized scores are given as

z = (x - μ)/σ

So,

z' = (limit for the bottom 5% - μ)/σ

-1.645 = (limit for the bottom 5% - 9.5)/1.5

limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds

z" = ( (limit for the top 5% - μ)/σ

1.645 = (limit for the top 5% - 9.5)/1.5

limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds

Therefore the healthy weight range for cats is (7.033 < x < 9.968)

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes the cat unhealthy.

Flaco's weight = 8 pounds

Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.


Related Questions

Can u help me please?????

Answers

Answer:

the last one

Step-by-step explanation:

it is the one which is the most fair and would make sense, I don't exactly know how to explain it sorry

6/5 divded by (-3/2)

Answers

Answer:

Step-by-step explanation:

6/5 ÷ -3/2 = 6/5 x -2/3

-12/15 = - 0.08

Answer:

− 4/5   or     −0.8

Step-by-step explanation:

Describe the transformation of each function compared to its parent function.
I need help please!

Answers

Step-by-step explanation:

In general, for all problems like this, remember the acronym VOHI:

vertical outside, horizontal inside.

1. The parent function here would be [tex]f(x)=x^{2}[/tex]. 4 has been subtracted from the inside, so it is a horizontal change. You might think that it is moving left 4, but it's actually moving right 4. There is a reason for this, but it's not necessary for you to know right now. All you need to remember is that when inside the parentheses, minus means moving right, and plus means moving left. You also have a 9 added to the outside. Vertical outside. This is a vertical change, meaning up and down. This function has been moved right 4 and up 9.

2. First, the parent function is again [tex]f(x)=x^{2}[/tex]. This time, we have [tex]\frac{1}{4}[/tex] on the outside of our function. This means it is a vertical transformation. When the value on the outside is > 1, it is a vertical stretch. When the value is between 0 and 1 (0<a<1), it is a vertical shrink. [tex]\frac{1}{4}[/tex] is between 0 and 1. So, this is a vertical shrink by a factor of [tex]\frac{1}{4}[/tex]. Next, there is a 6 on the inside of the parentheses, meaning a horizontal translation. Remember from problem 1, though, minus=right and plus=left. So, this function has been vertically shrunk by [tex]\frac{1}{4}[/tex] and moved left 6.

3. Again, parent function: [tex]f(x)=x^{2}[/tex]. This one just has [tex]\frac{3}{2}[/tex] on the outside. We know that it's on the outside because otherwise there would be parentheses around both [tex]\frac{3}{2}[/tex] and x. There is not, so it is outside. Outside, vertical. This is a vertical change. Looking back at problem two, when a value is >1, which this is, it is a vertical stretch. So this function has a vertical stretch by [tex]\frac{3}{2}[/tex].

I hope this helps!

Transformation involves changing the position and/or size of a function.

The transformations are:

Translate f(x), 4 units right, and 9 units up.Translate f(x), 4 units left, then compress f(x) vertically by 1/4Vertically stretch f(x) by 3/2

[tex]\mathbf{1.\ f(x) = (x - 4)^2 +9}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

First, the function is translated right by 4 units (this is represented by subtracting 4 from x.

i.e.

[tex]\mathbf{f(x) = (x - 4)^2}[/tex]

Next, the function is translated up by 9 units (this is represented by adding 9 to the value of y.

i.e.

[tex]\mathbf{f(x) = (x - 4)^2 + 9}[/tex]

So, the transformation from the parent function is: Translate f(x), 4 units right, and 9 units up.

[tex]\mathbf{2.\ f(x) = \frac 14(x + 4)^2}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

First, the function is translated left by 4 units (this is represented by adding 4 from x.

i.e.

[tex]\mathbf{f(x) = (x + 4)^2}[/tex]

Next, the function is vertically compressed a factor of 1/4 (this is represented by multiplying the function by 1/4

i.e.

[tex]\mathbf{f(x) = \frac 14(x + 4)^2}[/tex]

So, the transformation from the parent function is: Translate f(x), 4 units left, then compress f(x) vertically by 1/4

[tex]\mathbf{3.\ f(x) = \frac 32x^2}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

The function is vertically stretched a factor of 3/2 (this is represented by multiplying the function by 3/2

i.e.

[tex]\mathbf{f(x) = \frac 34 \times x^2}\\[/tex]

[tex]\mathbf{f(x) = \frac 34 \timex x^2}[/tex]

So, the transformation from the parent function is: Vertically stretch f(x) by 3/2

Read more about transformations at:

https://brainly.com/question/13801312

Solve for x and y-intercepts and show the work! Im on a timed test!

2x - 3y = 12

Answers

Answer:

Equation: y=2/3x-4

y intercept is (0,-4)

x intercept is (6, 0)

Step-by-step explanation:

Answer:

x=3/2y+6

y=2/3x-4

Step-by-step explanation:

To find Y

divide both sides with -3

-3y=-2x+12/:-3

y=2/3x-4

to find x

2x=3y+12

divide both sides with 2

2x=3y+12/:2

x=3/2y+6

Hope this helped :)

2. Convert 25.2625° from decimal degrees to degrees-minutes-seconds.

Answers

Answer:15

Step-by-step explanation:

A sociologist polled a random sample of people and asked them their age and annual income. The two-way frequency table below shows the results. Annual income vs. age group Less than $50,000 At least $50,000 Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132 Total 186 162 348 Which of the following statements is true of those polled? Choose 1 answer: А A person with an annual income of less than $50,000 is more likely to be 45 years old or above. B A person in the 44 and under age group is more likely to to have an annual income of at least $50,000​

Answers

Answer:

C A person with an annual income of at least \$50{,}000$50,000dollar sign, 50, comma, 000 is more likely to be 454545 years old or above

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​ is a correct statement.

We have given that,

A sociologist polled a random sample of people and asked them their age and annual income.

What is the annual income?

annual income is the amount of money you receive during the year into your bank account, before any deductions.

The two-way frequency table below shows the results.

Annual income vs. age group Less than $50,000 At least $50,000

Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132

Total 186 162 348

A person with an annual income of at least

[tex]=\$50000\\=$50,000dollar[/tex]

Therefore statement b is true.

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​.

To learn more about the annual income visit:

https://brainly.com/question/6070671

#SPJ2

Work out the length x.
Х
7.5 cm
16 cm

Answers

Answer:

x = 17.7

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]7.5^{2} + 16^{2} = x^{2}[/tex]

[tex]56.25 + 256 = x^{2}[/tex]

[tex]312.25 = x^{2}[/tex]

[tex]\sqrt{312.25} = x[/tex]

[tex]17.7 = x[/tex]

Draw the image 1/2 turn counter clockwise. (Please Help Me at this question will give uh brainliest)!!!​

Answers

Answer:

Step-by-step explanation:

Without the picture of the arrow I can't give an accurate answer. But, I'll try.

If the arrow is pointing like this -----> half turn counter clockwise should be with it pointing up.

If the arrow is pointing up, it should look like this <-----.

Do you get the idea?

what is 9.8846387057 to the nearest whole number

Answers

Answer:

10

Step-by-step explanation:

The . 8 would round up making the 9 a 10

So the answer is ten

Answer:how many total ounces are in this container?

Step-by-step explanation:

3983774 divided by 693.9

Answers

Answer:

5741.135

Step-by-step explanation:

Hope that helped

Answer:

5741.13561032

Step-by-step explanation:

brainliest?? just sayin

The Miller’s budget is $90,240 annually.If both Mr. and Mrs. Miler each work 160 hours per month, what is the average hourly wage needed to meet the budget?Round to the nearest cent.

Answers

Answer:

18

Step-by-step explanation:

Johny and Rahul divided the benefit of the business in the ratio 7:9. If
Rahul got 4878 rupees as benefit did Johny get?

Answers

Answer:

Step-by-step explanation:

7:9 = x:4878

4878/9 times 7

3794 would be your answer

Answer:

3,794 rupees

Step-by-step explanation:

Johny got 7 parts of the benefit while Rahul got 9. This can be represented as a fraction: 7/9

To solve this problem, we can use cross multiplication, where x represents the amount of rupees Johny got:

[tex]\frac{7}{9}[/tex] = [tex]\frac{x}{4878}[/tex]

Multiply 7 by 4,878: 34,146

Multiply 9 by x: 9x

Now the equation looks like this:

9x = 34,146

Divide both sides of the equation by 9 to isolate the x:

9x/9 = 34,146/9

x = 3,794

Johny got 3,794 rupees.

Seema sells two cookers for Rs.2574 each. On one she gains 10% and on the other she loses 10%.Find her gain or loss percent in the whole transaction.​

Answers

Answer:

18.18%

Step-by-step explanation:

Selling price of one coker = Rs.2574

If she loose 10% on one;

%loss = Cost price - Selliing price/cost price * 100

10 =Cp-2574/Cp * 100

10/100 = Cp-2574/Cp

0.1Cp = Cp-2574

0.1Cp - Cp = -2574

-0.9Cp =  -2574

Cp = 2574/0.9

Cp = Rs. 2860

Amount lost = 2860-2574 = Rs. 286

If she gains 10% on the second

%loss =Sp-Cp/Cp * 100

10 = 2574-Cp /Cp * 100

10/100 = 2574-Cp /Cp

0.1Cp = 2574-Cp

1.1Cp = 2574

Cp = 2574/1.1

Cp = Rs. 2340

Amount gained = 2340-2574 = Rs. 234

Total Loss = Amount lost - Amount gained

Total loss = 286 - 234

Total loss = Rs. 52

Total loss % = 52/286 * 100

Total loss % = 5200/286

Total loss % = 18.18%

What system of inequalities is shown in the graph?


A. x 2x + 3


B. x 3x + 2


C. x ≤ −1 and y ≤ −0.4x + 2


D. x ≤ −1 and y ≤ −2x + 2

Answers

Answer:

Step-by-step explanation:

x ≤ −1 and y ≤ −0.4x + 2

. What part of an hour is your school lunch time?

Answers

Answer: It's from 11:02 till 11:35. hbu?

Step-by-step explanation:

I do it online and I be eating 24/7

Which linear inequality is represented by the graph?
y? +X-4
Oys x-4
Oys-x+4
O yz x+4

Answers

Answer:

B

Step-by-step explanation:

The required inequality expression is y > 2x + 1

Inequality graph

The standard formula of the equation of a line is y = mx + b

where

m is the slopeb is the intercept

From the graph, using the coordinate (1, 3) and (0,1)

Slope = 1-3/0-1
Slope = -2/-1

Slope = 2

Since the line pass through the y-axis at y = 1, hence b =1

The required equation will be y > 2x + 1

Learn more on the inequality graph here: https://brainly.com/question/11234618

The teacher has 20 Thanksgiving stickers and 5 of them are scarecrows. What percentage of the stickers are scarecrows?(PLEASE HELP!)

:C

Answers

Answer:

25%

Step-by-step explanation:

20 / 5 = 4

100 ÷ 4 = 25

= 25%

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Plz help jfkdjdjdjdjd

Answers

Answer:

12

Step-by-step explanation:

MARK BRAINLIEST plz

Answer is E. 38. Hope this helps!!!

make g the subject of the formula in w = 7 - sqrt g​

Answers

Answer: g = w² - 14w + 49

[tex]w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}[/tex]

Step-by-step explanation:

o. How much money is 8% of $15.00?

Answers

Answer: 1.2

Step-by-step explanation:  

To get 8% you have to do 8/100

that equals .08

Multiply .08 with 15 and it equals 1.2

Answer1.2:

Step-by-step explanation:

which two fractions would make 1/8 plz help ​

Answers

Answer:

1/3 and 5/15

Step-by-step explanation:

whats 11/12+ 3 1/2 ASAP PLEASE

Answers

Answer:

4 5/12 or 4.4

Step-by-step explanation:

Answer:

4 5/12 or 53/12 or 4.4

Step-by-step explanation:

hope this helps : )

Evaluate the expression for f = 20.
122 - 2f

A. 82
B. 100
C. 140
D. 2400

SHOW YOUR WORK PLZSSSSS

Answers

Hey there!

IF F EQUALS 20 THEN SUBSTITUTE IT INTO THE EQUATION

[tex]\textsf{122 - 2(20)} \\ \mathsf{2(20) = 40} \\ \mathsf{122 - 40 = answer} \\ \uparrow \mathsf{solve \: above \: and \: you \: have \: your \: answer} \\ \mathsf{122 - 40 = \bf82} \\ \\ \boxed{ \mathsf{your \: answer: \boxed{ \bf 82}}} \checkmark[/tex]

Good luck on your assignment and enjoy your day!

~

[tex] \dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

A couple plans to have two children. What is the probability that they have
exactly one boy?

Answers

Answer:

1/2

Step-by-step explanation:

Male and female having two children. The chance of having a 1 boy is 50%

tell me if I'm correct...im not sure....thanks
....first person gets brainliest
itz 4 maths homework​

Answers

Answer:

Genuilly I think you’re correct

sorry if it wrong

but, it looks correct and I think it’s correct

Pls answer 4 and 5 for brainly

Answers

Number 4 would be: C

And number 5 would be: C

Please Mark as Brainliest!!!

Answer:

Number 4 is c 1/6 and number 5 is also c

Step-by-step explanation:

I just divided 1 and 6 and got 0.1666

and did the same for the other one

pls mark brainliest

Plz can someone help me show work for these two problems!!

3x + y = 13

2x - y = -1

Answers

Answer:

3x +y = 13

Or, x=13-y/3......eqn(i)

Now putting the value of x

2x - y = - 1

Or, 2(13-y/3) - y = - 1

Or, 26 - 2y /3 - y = -1

Or, 26 - 2y - 3y = - 3

Or, 26 - 5y = - 3

Or, - 5y = - 3 - 26

Or,y = - 39/ (- 5)

Or, y = 7.8~

HURRYYYYY
Which system of linear inequalities is graphed?

Answers

I would have put C. Because if you look at the triangle it makes then do the math with squared numbers then you should get c.  

Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of gifts he bought.

Answers

Answer:

y = 9x

Step-by-step explanation:

You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.

9 would be the slope, since he has to pay $9 per gift.

The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.

So, it's just y = 9x

Hope that helps! :D

Answer:

easy

Step-by-step explanation:

Task 2
If two figures are similar, then they are congruent.
Check all that apply
true in all cases
true in some cases
true in no cases

Answers

Answer:

pqoejbbbsvbhxncbqbqheeirowoqpnabzvxjsmqkw

Can you put a better picture ?
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