2.
Scientists estimate that the distribution of the life span of the Galápagos Islands giant tortoise is
approximately normal with mean 100 years and standard deviation 15 years. Based on the estimate, which
of the following is closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?

Answer:

no . of items = 10

Position of mean = (n+1)/2

                            = 11/2 = 5.5th item

In the data 5.5 item is the average of 5th and 6th item

median = (x+2+x+4)/2

or 25= (2x+6)/2

or 50 = 2x +6

0r 2x = 44

x =22

Answer:

X=23

Step-by-step explanation:

11,13,15,19,_,_,30,39,46

The middle number is the first dash which is represented by x+2 which is equal to 25

25-2=23 which is x

Dash 2 which is represented by x+4 is equal to 23+4=27

Answer:

-4

Step-by-step explanation:

thats the answer

Answer:

X= -4

Step-by-step explanation:

X+8=4 this is a one step equation first, you subtract 8 on both sides that gives you

x=-4

thats your answer

Answer: 28r+3

Step-by-step explanation:

3(1+7r)+7r

distributive property

3+21r+7r

combine like terms

28r+3

Answer:

4r/7 is the answer 4r over 7

Answer:

7 hours

Step-by-step explanation:

Her rate (speed) is

v = d/t = (792 miles) / (11 hrs) = 72 mph

To drive a distance D = 504 miles, it will take her a time T given by

T = D/v = (504 miles) / (72 mph) = 7 hours

Answer:

x=8  x=-8

Step-by-step explanation:

-3|x|=-24

Divide each side by -3

-3|x|/-3=-24/-3

|x|=8

There are 2 solutions a positive and a negative

x=8  x=-8

Answer:

4

Step-by-step explanation:

Following PEMDAS order:

-6*2=-12

-12/-3=4

Answer:

-6(2)(-3)

-3+2

-5

Step-by-step explanation:

Answer:

n= 98/3

Step-by-step explanation:

1. Complete distributive property *5(n-14)* and *2(n+14)*

5n-70=2n+28

2. Subtract 5n from both sides

-70=-3n+28

3. Subtract -70 from both sides

-98=-3n

4. Divide the variable from both sides *-3n*

-98/-3

5. Simplify

98/3

Final Answer:

98/3

Answer:

t = [tex]\frac{l}{pr}[/tex]

Step-by-step explanation:

Formula or literal equation used to calculate the simple interest is,

l = prt

where 'l' = Simple interest

p = principle amount invested

r = rate of interest

t = time or duration of the investment

If we have to calculate the time of investment form the given formula,

l = prt

By the division property of equality,

[tex]\frac{l}{pr}=\frac{prt}{pr}[/tex]

[tex]t=\frac{l}{pr}[/tex]

Therefore, formula to be used is, [tex]t=\frac{l}{pr}[/tex]

Answer:

x= 11

Step-by-step explanation:

[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]

Multiply both sides by 2:

2(3x -5)= 12 +4x

Expand:

2(3x) +2(-5)= 12 +4x

6x -10= 12 +4x

Bring all x terms to 1 side, constant to the other:

6x -4x= 10 +12

2x= 22

Divide by 2 on both sides:

x= 22 ÷2

x= 11

Answer:

for a rectangle to be called a square with 4 sides must be equal

for rectangle to be called a square its four angles must be equal.

Answer:

all parallel sides are the same lengths

all angles are 90°

Step-by-step explanation:

We know that the square has the definition of an object or plane that has all the four sides of equal length,

And all the angles related to the sides are also same. (all angles are 90°)

Whereas, a rectangle gets defined as the plane figure with four straight sides and the same number of right angles where the two parallel sides become of equal length.

Answer: 7

Step-by-step explanation: First you subtract 5 from both sides to single out the -3x. Then you will have -3x = -21. You will then divide both sides by negative three because you want to single out the x. After that, you will have the answer of x = 7

Answer:

x = 7

Step-by-step explanation:

-3x+5=-16

    -5  -5

-3x=-21

-3x/3 = -21/-3

x=7

Answer:

-6m-12

Step-by-step explanation:

-(2m-7)-(3+4(m+4)) =

-2m+7-(3+4m+16)=

-2m+7-(19+4m)

-2m+7-19-4m

-6m-12

OR:

-m-2 ( if you divide by 6 as a common factor)

Answer:

x=6.2

Step-by-step explanation:

3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)

6x-12+3x+1=5x+21-x-1

combine like terms:

9x-11=4x+20

move variables to same side by sub 4x and add 11

5x=31

x=6.2

Answer:

Step-by-step explanation:

g(-7) = -7 + 2 = -5

Answer -11r - 31

First you have to multiply the 4 to the numbers on parenthesis and also the 5 to the numbers of parenthesis.

I mean, it depends how long it will take you to shovel the snow please add more context if I read this wrong below!

(Mark as Brainliest Please)

Step-by-step explanation:

x ≤ 3

x ∈ [ 3 ; +oo )

2(4 + 2x) ≥ 5x + 5

8 + 4x ≥ 5x + 5

8 - 5 ≥ 5x - 4x

3 ≥ x

x ≤ 3

x ∈ [ 3 ; +oo )

Lets subtract 3 from each term we get 0,6...

Now we have muplitles of 6

6*0

6*1

Now we can find last number whcich is 6*33=198

now use formula to find sum

Step-by-step explanation:

Hey there!!!!

Given,

Angle r and angle s are supplementary angle.

And angle r = 120°.

Now, we have,

supplementary angle's sum is always 180°.

So, angle r + angle s = 180°.

or, 120°+ angle s = 180°

Therefore the measure of angle s is 60°.

Hope it helps....

Answer:

the answer should be 12 weeks

Step-by-step explanation:

Because, 294-126=168 and 168 divided by 14 is 12

Answer:

m∠XAZ = 40°

Step-by-step explanation:

Since ∠YAU, ∠YAZ and ∠XAZ are the angles based at a point on a straight line, and the sum of the all angles on a line is 180°.

Therefore, m∠YAU + m∠YAZ + m∠XAZ = 180°

50° + 90° + m∠XAZ = 180°

m∠XAZ = 180° - 140°

             = 40°

Therefore, measure of angle XAZ is 40°.

Answer:

Constant of proportionality, [tex]r = \frac{1}{10}[/tex]

Answer:

it would be 5

Step-by-step explanation:

Answer:

Reflection

Step-by-step explanation:

Joel reads 21 books in the span of 7 months

Answer:21

Step-by-step explanation:

The equation would be 3x

X being months he was on the book club so x would be 7

3(7)=21

[tex]\text {Hey! Let's Solve this Problem!}[/tex]

[tex]\text {We Know That: Multiply a Negative to a Negative will Equal a Positive.}[/tex]

[tex]\text {We Also Know: Multiply a Positive to a Negative will Equal a Negative.}[/tex]

[tex]\text {Multiply:}[/tex]

[tex]\text {-9*-9=81}[/tex]

[tex]\text {Multiply:}[/tex]

[tex]\text {81*-9=}[/tex]

[tex]\text {Your Answer would be:}[/tex]

[tex]\fbox {-729}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer:

True

Step-by-step explanation:

2x+3y=6

2(0)+3y=6

0+3y=6

3y=6

y=2

Answer:

yes

Step-by-step explanation:

if it is a terminating decimal(a decimal that ends) it will be rational

Answer:

rational

Step-by-step explanation:

because it is a decimal. idrk i just guessed but im pretty sure im right