The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 16 years, the

standard deviation is 1.7 years.

Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a gorilla living longer than 14.3

years.

Percent ____

Given:

The length of a rectangle is 5 centimeters less than 2 times the width.

To find:

The polynomial expression that represents the area of the rectangle, then simplify the expression.

Solution:

Let [tex]x[/tex] be the width of the rectangle.

The length of a rectangle is 5 centimeters less than 2 times the width.

2 times the width = [tex]2x[/tex]

5 centimeters less than 2 times the width = [tex]2x-5[/tex]

Length of the rectangle = [tex]2x-5[/tex]

We know that, the area of a rectangle is:

[tex]A=length \times width[/tex]

[tex]A=(2x-5)\times x[/tex]

[tex]A=2x^2-5x[/tex]

Therefore, the required polynomial expression is [tex]A=(2x-5)\times x[/tex] and its simplified form is [tex]A=2x^2-5x[/tex].

Step-by-step explanation:

you question isn't clear enough

find the area of what actually?

Answer:

square = 34

triangle = 17

Step-by-step explanation:

Answer:

Step-by-step explanation:

The problem is that you cannot be sure that either triangle (it actually requires both of them) contain a right angle

What you have so far is SSA which is not one of the fundamental congruency triangles. In order to be certain of congruency the angle must be made up of the 2 given sides. You are certain that SAS will produce congruency. You are not so sure of  r SSA. There are proofs of this on the internet. I urge you to look into it. Though not long, following it step by step takes a lot of patience. A cup of strong coffee is a good idea.

Answer:

x=5

Step-by-step explanation:

13x+3= 15x-7

2x=10

x=5

Answer:

3 1/3 = 10/3

0.3 = 3/10

a * 1/a =1

then 1/a is multiplicative inverse of a

0.3* 3 1/3 = 3/10 * 10/3 =1

0.3 is multiplicative inverse of 3 1/3

Step-by-step explanation:

Answer:

3 1/3 = 10/3

10.3 = 0.3 = 3 1/3

x * 1/x = 1

∴ yes, the multiplicative reverse of 3 1/3 is 0.3

hope this answer helps you.....

Answer:

C . x/12

Step-by-step explanation:

Answer:

Area = 1/2*(16+4)*5

= 50 yd²

Step-by-step explanation:

Hope it helps you......

Answer:

3*3+5+6

Step-by-step explanation:

i hope its correct

i honestly don't know :-l

Answer:

mass=180kg and the volume=6m³.

then the formula to find density is= mass/volume

using this formula,180kg/6m³=30kg/m³

Answer:

8 m³

Step-by-step explanation:

Let v represent the volume.  Recall that density is mass/volume, which here is 0.9 kg/m³.  To find the volume of this object, divide the density into the mass:

 7.2 kg

--------------- = 8 m³

0.9 kg/m³

Answer:

volume = 10.2 in³

Step-by-step explanation:

r = 2.7/2 = 1.35

volume = 4/3πr³ = 4/3(3.14)(1.35³) = 10.2 in³

Answer:

D) 150 miles.

Step-by-step explanation:

The computation is shown below:

Given that

The Cost of  the car rental agency of A is $50 + 0.10 per mile

The Cost of  the car rental agency of B is $20 + 0.30 per mile

Here we assume the per mile be x

Now we equate these equations

SO,

$50 + 0.10x = $20 + 0.30x

$30 = 0.20x

x = 150

SO it would be more than 150 miles

Answer:

90 dollars or euros whatever its called

Answer:

[tex](a)\ k_2 = 1in:3ft[/tex]

[tex](b)\ Scale\ width =\frac{16}{3}\ in[/tex]

Step-by-step explanation:

Given

[tex]k_1 = 1in : 2ft[/tex] --- Initial scale factor

[tex]Blueprint: 12in\ by\ 8in[/tex] --- Missing from the question

Solving (a): The new scale factor.

Convert the initial blueprint to actual measurement using the initial scale factor, we have:

[tex]Length = 12 * 2ft = 24ft[/tex]

[tex]Width = 8 * 2ft = 16ft[/tex]

From the question, we understand the new scale factor represents the width as 8in.

The scale factor (k2) is then calculated as:

[tex]k_2 = \frac{Scale\ length}{Actual\ length}[/tex]

[tex]k_2 = \frac{8in}{24ft}[/tex]

Simplify

[tex]k_2 = \frac{1in}{3ft}[/tex]

Represent as fraction

[tex]k_2 = 1in:3ft[/tex]

The above is the new scale factor

 Solving (b): The new width

Using the scale factor above we have:

[tex]k_2 = \frac{Scale\ width}{Actual\ width}[/tex]

[tex]\frac{1in}{3ft} = \frac{Scale\ width}{16ft}[/tex]

The 16 is gotten from:

[tex]Width = 8 * 2ft = 16ft[/tex]

So, we have:

[tex]Scale\ width = 16ft * \frac{1in}{3ft}[/tex]

[tex]Scale\ width = 16 * \frac{1in}{3}[/tex]

[tex]Scale\ width =\frac{16\ in}{3}[/tex]

[tex]Scale\ width =\frac{16}{3}\ in[/tex]

Hence, the scale width of the blueprint is: 16/3 inches

Answer: Part A is 3 and part b is 5 1/3 inches

Step-by-step explanation:

Answer:

52 I'm pretty sure

Step-by-step explanation:

3x2= 6

3x4=12

4x2=8

8+12+6= 26

26X2=52

Answer:

C.

Step-by-step explanation:

None of these numbers have perfect square roots, but  is the closest to the point on the number line. The square root of  is 6. 244997998398398. Rounding that number we get approximately 6.3.

Answer: Pat bonces the ball 125 times in 150 seconds.

Answer:

Henry can write 10 pages in 8 hours.

Step-by-step explanation:

Our unit rate (number of pages in a given number of hours) is

5 pages

--------------

   4 hrs

It is not necessary to perform the indicated division.  Just multiply this unit rate by '8 hours':

5 pages

-------------- * 8 hrs = 10 pages

   4 hrs

Henry can write 10 pages in 8 hours.

Answer:

[tex]2 + 3 + 7 + x = 4 \times 5 \\ x = 20 - 12 = 8[/tex]

The table that could represent a function is given by the values

x = { 1 , 2 , 3 , 4 } and f ( x ) = { 2 , 4 , 6 , 2 } where the there exists one value in the range for every domain value.

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as f ( x )

Now , the values of x are given as

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

So , when x = { 1 , 2 , 3 , 4 }

The values of f ( x ) should be distinctive and no values of x should have different values for f ( x )

And , f ( x ) = { 2 , 4 , 6 , 2 } represents a function

Hence , the function is  f ( x ) = { 2 , 4 , 6 , 2 }

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ7

Answer:

375

Step-by-step explanation:

12/150 is 0.08, which is 8%

this mean 8 perfect of the population were marked

8 percent is 30 deers

30/0.08=375

Answer:

2x^2+4x

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

9x^2+2x

2x^2+4x

(if you would like an explanation let me know :D)

Answer:

The distance between the two points is 8 units.

Step-by-step explanation:

Hope this helps!! Have an Amazing day!!

Answer:

There's y and x which one you're are talking about?

it is x the distance is 8.

negative four + positive four will give us zero but if you add the both it will give us the distance between them

Answer:

Option D.

Step-by-step explanation:

hope it helps...

Answer:

Combined volume of the two game systems  [tex]=416[/tex] cubic inches

Step-by-step explanation:

Volume of a cuboid = length × breadth × height

Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall.

So,

Volume of Soham's video game system = 8 × 6 × 2 = [tex]96[/tex] cubic inches

As Sean's video game system measures 1 inch longer on all sides,

the video game system measures [tex]8+2=10[/tex] inches long, [tex]6+2=8[/tex] inches wide, and [tex]2+2=4[/tex] inches tall.

Volume of the video game system = 10 × 8 × 4 = [tex]320[/tex] cubic inches.

Therefore,

Combined volume of the two game systems = [tex]96+320=416[/tex] cubic inches