If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.

Answer: A quotient is the the number resulting from the division of one number by another.

Step-by-step explanation:

24/4 the quotient (answer) is 6

Answer:

a) the probability that the next ream out- lasts the present one by more than 2 days is 0.0787

b) the number of reams that must be purchased is 19

Step-by-step explanation:

Given the data in the question;

Lets X₁ and X₂ be the two random variables that represents the first and second ream lasts

given that both random variables follow normal distribution with mean 4 and standard deviation 1.

a)

Find the probability that the next ream out- lasts the present one by more than 2 days.

P( X₂  - X₁ > 2 ) = P( [(X₂  - X₁ - E(X₂  - X₁)) / √(V(X₂  - X₁)] > [ (2-E(X₂  - X₁))/√(V(X₂  - X₁) ]

= 1 - P( Z ≤ [2-(μ₂  - μ₁)] / [√( V(X₂) + V(X₁) ) ] )

= 1 - P( Z ≤ [2-(4  - 4)] / [√( 1 + 1 )] )

= 1 - P = ( Z ≤ 2 / √2 )

= 1 - p( Z ≤ 1.4142 )

from excel; p( Z ≤ 1.41 ) = 0.9213

P( X₂  - X₁ > 2 ) = 1 - 0.9213

P( X₂  - X₁ > 2 ) = 0.0787

Therefore, the probability that the next ream out- lasts the present one by more than 2 days is 0.0787

b)

How many reams must be purchased if they are to last at least 60 days with probability at least 80%

total value is 4n

standard deviation is nσ

so

P(nX ≥ 60 ) = 0.80

P( nX-nμ /nσ  ≥  60-nμ/nσ) = 0.80

P( Z ≥  60-4n/n) = 0.80

1 - P( Z ≥  60-4n/n) = 0.80

P( Z < z ) = 0.20

now since z = 60-4n/n

from standard normal table

critical value of z corresponding to cumulative area of 0.20 is -0.841

so

z = - 0.841

60-4n/n =  -0.841

60 - 4n =  -0.841n

60 = -0.841n + 4n

60 = 3.159n

n = 60 / 3.159

n = 18.99 ≈ 19

Therefore, the number of reams that must be purchased is 19

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

Musisz przejść do Brainly.ph, jedyny sposób, w jaki z tobą rozmawiam, to tłumacz. Brainly.com jest dla języka angielskiego

Step-by-step explanation:

Answer:

180 square inches

Step-by-step explanation:

First off since the square will be easiest to do

a=a^2

a=6^2

a=36

now for the triangles

a= height of triangle * base/ 2

a= 12*6/2

a= 36

and since there is 4 of the triangles we multiply 36 by 4

=144

now we add 144 to 36 and we have the total

Answer

The circumference  is 37.699

Hope this answer helped you!

⭐Please consider giving brainliest!⭐

Step-by-step explanation:

the circumference of the circle with diameter 12cm=2π(d/2)=2×π×12/2=12πcm

Answer:

let the ratio of ram and hari be 7x and 9x respectively

7x +9x=272

or, 16x=272

or,x=272÷16

or,x=17

ratio of ram=7x=7 × 17=119

ratio pf rahim=9x=9×17=153

Answer:

NO POSSIBLE TRIANGLES

Step-by-step explanation:

Answer:

no possible triangles

Step-by-step explanation:

Answer: A=bh to find the area of parallelograms.

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: IF you meant 2.88 x 10^-12 The answer is: 0.00000000000288 OTHERWISE i don't know what you were asking

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:1.6799999999999997 x 10^1

Answer:

t = 0.85 s

Step-by-step explanation:

Given that,

The speed of a car, v = 40 mph = 17.8816 m/s

Distance, d = 50 feet = 15.24 m

Let the time be t. The formula for speed is given by distance divided by time. So,

[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{15.24 }{17.8816 }\\\\t=0.85\ s[/tex]

So, the required time is 0.85 s.

Answer:

Step-by-step explanation:

to rotate about origin by 180 °  also means to  change ( x, y) ⇔( -x,-y)

the double arrows just mean to change into.. or "transform"  ( I think that there might have even been a movie about this,   called   "transformers" :D JK)

T=( -2, 1)

S = ( -4, 3)

R = ( -5, -2)

use the transform  ( x, y) ⇔( -x,-y)

T' = (2,-1)

S' = ( 4, -3 )

R' = (5 , 2 )

if you draw this on a piece of graph paper, you'll see it's the triangle spun 180 °  around the origin  :)

Answer:

Option (C)

Step-by-step explanation:

By the property of an exterior angle,

Exterior angle of a triangle is equal to the sum of two opposite interior angles.

(15x + 34)° = 29° + (12x + 26)°

15x + 34 = 29 + 12x + 26

15x - 12x = 55 - 34

3x = 21

x = 7

Measure of exterior angle = (15x + 34)°

                                           = 15(7) + 34

                                           = 105 + 34

                                           = 139°

Option (C) is the answer.

ans.................

Answer:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question, we have that:

Mean = 2.56

Standard deviation = 0.43

What percentage of the students have grade point averages that are between 2.13 and 2.99?

2.56 - 0.43 = 2.13

2.56 + 0.43 = 2.99

Within one standard deviation of the mean, so, by the Empirical Rule:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

Answer:

177.8

Step-by-step explanation:

There are 30.48 centimeters per foot so multiply 30.48 by 5. And there is 2.54 centimeters in a inch so multiply 2.54 by 10. And then add the totals together to get 177.8

Answer:

52 pounds

Step-by-step explanation:

2 x 26= 52

Answer:

Step-by-step explanation:

Answer:

3(7+x²)x-2

3x(7+x²)-2

21x+3x³-2

Answer: x4

Step-by-step explanation:

Answer:

The answer for A: The coordinates for G is (5,3) so plot that in.

The answer for B: "G and E are 5 units away from the y-axis"

The answer for C: "The distance between G and E is 10 units"

Hope this helps!

Step-by-step explanation:

Answer:

38 remander 8

Step-by-step explanation:

Answer:

18/5

Step-by-step explanation:

5 1/5 = 1 thus 3 are 15 + 3 = 18/5

Answer:

The answer is 18 fifths.

Step-by-step explanation:

3 = 15/3 + 3/5 = 18/3 fifths.

Answer:

c 64 is your answer im pretty sure

Answer:

104

Step-by-step explanation:

Just separate the whole thing into two shapes. Multiply the first shape: 12 x 7 = 84

Multiply the second shape: 5 x 4 = 20

Answer:

The answer is 8

Step-by-step explanation: