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Answer:

(a) N (16, 2.5²)

(b) 0.241

(c) Low: 15.4 years

    High: 16.6 years

Step-by-step explanation:

The random variable X is defined as the age at death of a randomly selected indoor cat.

(a)

The distribution of X is:

[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]

(b)

Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:

[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]

                            [tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]

Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.

(c)

Compute the two numbers within which 20% of indoor cats' age of death lies as follows:

[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]

The corresponding value of z is, 0.25.

Compute the value of x₁ and x₂ as follows:

[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex]                [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]

Low: 15.4 years

High: 16.6 years

Answer:

w = 19/15 or 1 4/15

Step-by-step explanation:

11/15 = w-(8/15) // - w-(8/15)

11/15-w+8/15 = 0

19/15-w = 0 // - 19/15

-w = -19/15 // * -1

w = 19/15

w = 19/15

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]

[tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]

______________________________

 [tex]\bold{Answers:}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]

Answer:

y=8(5)^(x)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2^{4-3}

=2

Answer:  

At what type of boundary do strike-strip basins form? transform

At what type of boundary do wedge basins form? convergent

At what type of boundary do rift basins form? divergent

At what type of boundary do arc basins form? convergent

Step-by-step explanation:

Hope this helps!

Answer:

Answer the questions using the drop-down menus.

✔ transform

At what type of boundary do wedge basins form?

✔ convergent

At what type of boundary do rift basins form?

✔ divergent

At what type of boundary do arc basins form?

✔ convergent

Step-by-step explanation:

Answer: 1,045,440,000

Explanation:

1 mile = 5280 feet

55 x 5280 = 290400

290400 x 60 = 17424000

17424000 x 60 = 1045440000

3 words. Get. A. Caluculator.

Lol I hope this helps!

Answer:

Step-by-step explanation:

Mile to feet

Hour to seconds

Speed of the car

Answer:

(3x-2)(x-2)(x+1)

Step-by-step explanation:

Here, given a factor of 3x^3 -5x^2 -4x + 4, we want to fully express the polynomial as a product of its linear factor

To find the other factors, we shall divide the polynomial by the given factor

That will be;

3x^3-5x^2-4x + 4/(x-2)

we use long polynomial division here

Please check attachment for the division

The division yields 3x^2 + x - 2

what is left is to factorize the expression above

That will be;

3x^2 + 3x -2x - 2

= 3x(x + 1) -2(x + 1)

So we have (3x-2)(x + 1)

So the complete factorization will be;

3x^3-5x^2-4x + 4 = (x-2)(3x-2)(x+1)

Answer:

Step-by-step explanation:

220 is the answer

176 + 43 = 219

219 is almost 220

Answer: (0,3)

Step-by-step explanation: The y-intercept is where x is 0.

Answer:

Your answer is: x = 9250

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Answer: 5,5 have a great day

The translated point (5, 5)

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Given:

In the first quadrant, you start at (5,3) and move 2 units up.

Here, up means positive changes in the second value of coordinates

Translation:

(x, y) → (x, y +2)

(5,3)  → (5, 3 +2)

(5,3)  → (5, 5)

Therefore, the point is (5, 5)

To learn more about the translation in geometry;

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Answer:

n=5 hope this helps

Step-by-step explanation:

Answers:

x = 4

RM = 7

======================================================

Explanation:

The midpoint cuts the larger segment RS in two equal halves, so RM = MS

RM = MS

x+3 = 2x-1

3+1 = 2x-x

4 = x

x = 4

RM = x+3

RM = 4+3

RM = 7

MS = 2x-1

MS = 2*4-1

MS = 7

Both RM and MS are 7 units long, which confirms our answers.

RS = RM+MS

RS = 7+7

RS = 14

Answer:

-1/15 because it is closer to zero on the negative half of a number line.

Answer:-1/15

Step-by-step explanation:When it comes to negatives sign the smaller number with the negative sign is always the greater number

Answer:

4x10^-3

Step-by-step explanation:

because it was in a deciaml, it has to be negative

The given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].

It is given that Kim writes an estimate for number 0.00436 as 4 × 10 ³.

We have to find whether it is correct or not and why ?

What do you mean by decimal fraction ?

A decimal fraction is a number in which the denominator is a multiple of 10 i.e., 10, 100, 1000. etc.

As per the question ;

The decimal number given is 0.00436.

To represent the number in the form of power of 10 , we need to move the decimal 3 places towards right.

and

We know if we move decimal 3 places towards right we need to multiply the resulted number by 10 to the power -3 , i.e., [tex]10^{-3}[/tex]

So,

The correct estimate will be ;

= 4.36 × [tex]10^{-3}[/tex]

Thus , the given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].

To learn more about decimal to power of 10 click here ;

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Answer:

5/2

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

angle A + angle D= 180 degrees

65+z=180

subtract 65 from both sides

z=115

Answer:

115

Step-by-step explanation:

Answer:

There is no graph shown

Step-by-step explanation:

Answer:

no graph shown.

Step-by-step explanation:

None.

Answer:

Step-by-step explanation:

james want to buy a sirt that cost 95 dollars. he only has 60 dollars saved.

if james gets paid 2 dollars a day how many days would he have to work to get 80 dollars.

solve for x

y=2x+60

95=2x+60

Answer: 11

Step-by-step explanation:

Answer:

The pentagon shape = 8

The star shape = 6

The curl shape = 3

The wave pattern shape = 5

Step-by-step explanation:

Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z

Horizontally, we have;

w + 2·x + y = 23.....(1)

2·y + 2·z = 16...........(2)

2·z + w + x = 24.. ..(3)

3·y + x = 15..............(4)

Vertically, we have;

2·x + z + y = 20.......(5)

2·y + w+ z = 19........(6)

From the above equations, we have;

From equation (4), we have x = 15 - 3·y

From equation (2), we have z = 8 - y

From equation (1), we have w = 23 - (2·(15 - 3·y) + y)

∴ w = 23 - 30 + 6·y - y = 5·y - 7

w = 5·y - 7

Substituting the above values for x, and z i equation (5) gives;

2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20

30 - 6·y + 8 - y + y = 20

6·y = 30 + 8 - 20 = 18

y = 18/6 = 3

y = 3

w = 5·y - 7 = 5×3 - 7 = 8

w = 8

z = 8 - y = 8 - 3 = 5

z = 5

x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6

x = 6

Therefore, we have;

w = The pentagon shape =8

x = The star shape =6

y = The curl shape = 3, and

z = The wave pattern shape =5

The number of each of the four given shapes filled in the rows and columns are;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

From the diagram, we see four shapes and so let us identify them with letters;

Inscribed pentagon shape = a

Star shape = b

Spiral shape = c

Waves inside rectangle shape = d

For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;

a + 2b + c = 23   .....(eq 1)

For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;

2c + 2d = 16  ......( eq 2)

For the third row, we see 1 star, one inscribed pentagon  and 2 Waves inside rectangle shape. Thus;

a + b + 2d = 24 ....(eq 3)

For the fourth row, we see 3 spiral shapes and one star shape. Thus;

b + 3c = 15 ....(eq 4)

Looking at the columns, we see that;

First column;

2c + a + d = 19  ....(eq 5)

Second column, we have;

2b + c + d = 20  .....(eq 6)

From eq 4; b = 15 - 3c

From eq 2, we have; d = 8 - c

Putting them in eq 1 gives;

a + 2(15 - 3c) + c = 23

a + 30 - 6c + c = 23

a = 5c - 7

Putting d = 8 - c and a = 5c - 7 into eq 5 gives;

2c + 5c - 7 + 8 - c = 19

6c + 1 = 19

6c = 18

c = 3

Put 3 for c in a = 5c - 7

a = 5(3) - 7

a = 8

Put 3 for c in b = 15 - 3c

b = 15 - 3(3)

b = 6

Put 3 for c in d = 8 - c

d = 8 - 3

d = 5

Thus, we have;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

Read more at; https://brainly.com/question/18452224

Answer:

t = 0.5

Step-by-step explanation:

sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open

Answer:

-15

Step-by-step explanation:

45 divided by negative 3. All you have to do is make it into multiplication. -3 × -15 = 45

Answer:

7. c

8. d

9. c

10. c

11. b

12. d

13. c

Answer:

7. C: 80

8. D: 100

9. C: 80

Step-by-step explanation:

each line equals 180

where H is at, has a 100 above it.

that equals one angle, which is 100. That line has 2 angles at equal 100 since they are one opposite sides of each other.

you subtract 180-100= 80. That's where you get ur 80 angle from. Hope this helps, I'm bad at explaining stuff

[tex]a(n) = 6 + 3(n - 1)[/tex]

[tex]a(1) = 6 + 3(1 - 1)[/tex]

[tex]a(1) = 6 + 3 \times 0[/tex]

[tex]a(1) = 6 + 0[/tex]

[tex]a(1) = 6[/tex]

_________________________________

[tex]a(2) = 6 + 3(2 - 1)[/tex]

[tex]a(2) = 6 + 3 \times 1[/tex]

[tex]a(2) = 6 + 3 [/tex]

[tex]a(2) = 9[/tex]

_________________________________

[tex]a(3) = 6 + 3(3 - 1)[/tex]

[tex]a(3) = 6 + 3 \times 2[/tex]

[tex]a(3) = 6 + 6[/tex]

[tex]a(3) = 12[/tex]

_________________________________

[tex]a(4) = 6 + 3(4 - 1)[/tex]

[tex]a(4) = 6 + 3 \times 3[/tex]

[tex]a(4) = 6 + 9[/tex]

[tex]a(4) = 15[/tex]

Answer:

negative slope

Step-by-step explanation:

Answer:

It's D, neither

Step-by-step explanation: