The United States Postal Service reports that 90% of first-class mail within the same city is delivered in two days of the time of mailing. Ten letters are randomly sent to different locations. a. What is the probability that all 10 will arrive within two days? b. What is the probability that exactly 8 will arrive within two days? c. What is the probability that 5 or fewer will arrive within two days? d. What is the mean number of letters that will arrive within two days? e. What is the standard deviation of the number of letters that will arrive within two days?

Answers

Answer 1

a)The probability that all 10 will arrive within two days is 0.3486.

b)  P(x = 8) = 0.1937

c)  P(x=5)= 0.0014

d)  mean = 9

e) Standard deviation = √0.90 = 0.9486

What is Binomial Probability?

The binomial distribution model allows us to compute the probability of observing a specified number of "successes" when the process is repeated a specific number of times and the outcome for a given patient is either a success or a failure.

Given:

p = 90/100 = 0.90

q(probability of success) = 1 - p = 1 - 0.90 = 0.10

n = 10

a)The probability that all 10 will arrive within two days

P(x = 10) = 0.3486

b) P(x = 8) = 0.1937

c) P(x=5)= 0.0014

d) mean = np = 10 × 0.90 = 9

e) Variance = npq = 10 × 0.90 × 0.10 = 0.90

Standard deviation = √0.90 = 0.9486

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Related Questions

Alana, Brianna and Carla divided $171 between them in the ratio 4 colon 7 colon 8. How much did Brianna receive?

Answers

Answer:

$63

Step-by-step explanation:

Alana has 4 units of the $171.

Brianna has 7 units of the $171.

Carla has 8 units of the $171.

Total units = 4 + 7 + 8 = 19

19 units = $171

1 unit  [tex]\frac{171}{19} \\= $9[/tex]

Brianna has 7 units, so she receives 7 x $9 = $63.

Calcular la edades actuales de una madre y sus dos hijos sabiendo que hace 14 años la dad de la madre era 5
veces la suma de las edades de los hijos en aquel momento, que dentro de 10 madre será la suma de las edades
que los hijos tendrán en ese momento y que cuando el hijo mayor tenga la edad actual de la madre, el hijo
menor tendrá 42 años.

Answers

The present age of mother and her daughter respectively are; 40 and 10 years respectively.

How to Solve Algebra Word Problems?

Let x and y be the present age of mother and her daughter respectively.

Therefore;

x + y = 50

x = 50 − y     .....(1)

After 20 years, mother's age will be twice her daughter's age at the time. Thus;

x + 20 = 2(y + 20)

x − 2y = 20     .....(2)

Plugging eq 1 into eq 2 gives us;

50 − y − 2y = 20

3y = 30

y = 10

Thus;

x = 50 − 10

x = 40

Thus, the present age of mother and her daughter is 40 and 10 years respectively.

Translation of the question into English is;

The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.

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In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is t = 2 (StartFraction 2 h Over 32 EndFraction) Superscript one-half , where t is the time in seconds, and h is the height of the jump, in feet.

Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?

Answers

Considering the hang time equation, it is found that Player 1 jumped 0.68 feet higher than Player 2.

What is the hang time equation?

The hang-time of the ball for a player of jump h is given by:

[tex]t = 2\left(\frac{2h}{32}\right)^{\frac{1}{2}}[/tex]

The expression can be simplified as:

[tex]t = 2\sqrt{\frac{h}{16}}[/tex]

For a player that has a hang time of 0.9s, the jump is found as follows:

[tex]0.9 = 2\sqrt{\frac{h}{16}}[/tex]

[tex]\sqrt{\frac{h}{16}} = \frac{0.9}{2}[/tex]

[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.9}{2}\right)^2[/tex]

[tex]h = 16\left(\frac{0.9}{2}\right)^2[/tex]

h = 3.24 feet.

For a player that has a hang time of 0.8s, the jump is found as follows:

[tex]0.8 = 2\sqrt{\frac{h}{16}}[/tex]

[tex]\sqrt{\frac{h}{16}} = \frac{0.8}{2}[/tex]

[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.8}{2}\right)^2[/tex]

[tex]h = 16\left(\frac{0.8}{2}\right)^2[/tex]

h = 2.56 feet.

The difference is given by:

3.24 - 2.56 = 0.68 feet.

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A soccer field (football pitch) has a length of 101.0 m and a
width of 70.2 m. Find the total area of the field in square
meters (m²) and convert this measurement to square yards
(yd2). Use the fact that 1 yard = 0.9144 m. Round your answer
to the nearest whole number.

Answers

Answer:

7754

Step-by-step explanation:

give brainiest, please. <3

Answer:

about 7,754 m

Step-by-step explanation:

101 * 70.2 = 7,090.2

7,090.2/0.9144 = 7,753.9

What is the area of a circle with 20cm diameter

Answers

Well that's a 10cm radius and the formula for area of a circle is A= 3.14•R(squared). So to plug that in, that would be 3.14 • 10 squared or 3.14 • 100. 3.14•100=314

Answer:

area of the circle

area=7.54

What happened in this situation?

........................................................................................................

(Maya raises her hand)
Ms. Teacher: Yes, Maya?
Maya: Someone passed gas.
(Another student, Nylo, begins silently laughing)
(Another student, Lia, notices Nylo laughing)
Lia: it was Nylo.
(the entire class begins laughing, except for Maya)

...............................................................................................

Why did Lia think it was Nylo and expose them? And why didn't Maya laugh?

Answers

Answer:

It's because Maya friend did not pass gas

what is −4/5​+40/75​+100%=

Answers

-0.8+1.875+100%

1.05+100%

0.1

Answer please! I need this!

Answers

Step-by-step explanation:

The top has been multiplied by 5 so multiply the bottom by 5, 2 x 5 = 10. also why is there a pig lol

Who got geometry regents answer key June 2022

Answers

Answer:

nobody yet

Step-by-step explanation:

Answer:

No one.

Step-by-step explanation:

The New York State Education Department has canceled the June 1, 2022, administration of the Regents Examination in U.S. History & Government (Framework). NYSED Commissioner Betty A.

Use the grouping method to factor this polynomial completely.
4x³ + 8x²+3x+6
O A. (4x2 + 2)(x+3)
OB. (4x2+2)(x+2)
O C. (4x²+3)(x+3)
D. (4x² + 3)(x + 2)

Answers

Answer:

D.  [tex](4x^2 + 3)(x + 2)[/tex]

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms and factor each group.

Factor by Grouping[tex]4x^3 + 8x^2 + 3x + 6[/tex][tex](4x^3 + 8x^2) + (3x + 6)[/tex][tex]4x^2(x + 2) + 3(x + 2)[/tex]

Now we can combine the like factors:

[tex](4x^2 + 3)(x + 2)[/tex]

The answer is Option D.

NEED THIS DONE ASAP!! Thank you!!​

Answers

For the bottom question, I believe the measure of arc RB is 150°.

• External point D (vertex outside of the circle) creates two secant segments (DR and DB).
• Using the exterior angle theorem: angleD= (1/2) RB - EC. This becomes 5x-10 = (13x+7-60°)/2.

• Now solve for x
multiply both sides by 2
10x-20=13x+7-60°
Add/subtract like terms to isolate variable on one side
60° = 3x+27
Subtract 27 from both sides
33=3x
divide both sides by 3 to get variable x alone, and: 11 = x.

• x = 11.

• Plug this x value back into the expression representing arc RB
13(11)+7 = 150.

• mRB=150°.


• check: 5(11)-10=45°. Plug all known values into the exterior angle theorem to see if true; 45° = (1/2)*(150° - 60°)
45°=45°
[true]

Answer:

150°

Step-by-step explanation:

A secant is a straight line that intersects a circle at two points.

The circle shows two secants RD and BD that intersect at one exterior point D, so we can use the Intersecting Secants Theorem to solve.

Intersecting Secants Theorem

If two secant segments are drawn to the circle from one exterior point, the measure of the angle formed by the two lines is half of the (positive) difference of the measures of the intercepted arcs.

[tex]\implies \angle RDB = \dfrac{1}{2}\left(\overset{\frown}{RB}-\overset{\frown}{EC}\right)[/tex]

[tex]\implies 5x-10=\dfrac{1}{2}(13x+7-60^{\circ})[/tex]

[tex]\implies 2(5x-10)=13x-53[/tex]

[tex]\implies 10x-20=13x-53[/tex]

[tex]\implies -3x=-33[/tex]

[tex]\implies x=11[/tex]

To find the measure of [tex]\overset{\frown}{RB}[/tex], substitute the found value of x into the expression for the arc:

[tex]\implies \overset{\frown}{RB}=13x+7[/tex]

[tex]\implies \overset{\frown}{RB}=13(11)+7[/tex]

[tex]\implies \overset{\frown}{RB}=143+7[/tex]

[tex]\implies \overset{\frown}{RB}=150^{\circ}[/tex]

Therefore, the measure of arc RB is 150°.

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4
Which are correct representations of the inequality 6x ≥ 3 + 4(2x - 1)? Select three options.
01 ≥ 2x
O
O
6x ≥ 3 + 8x - 4
-1.5
-1.5
0- -1.5
-1
-1
-1
-0.5
-0.5
-0.5
0
0
0
0.5
0.5
0.5
1
1
1.5
1.5
1.5

Answers

Answer:

6x > 3+4(2x -1)

6x > 3+ 8x - 4

6x > (-1) + 8x

6x - 6x > (-1) + 8x - 6x

subtracting 6x from both sides

0 > 2x - 1

adding +1 on both sides

1 > 2x

1/2 > x

x < 1/2

The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,

⇒ x ≤ 1/2

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ 6x ≥ 3 + 4(2x - 1)

Now, We can simplify as;

⇒ 6x ≥ 3 + 4(2x - 1)

⇒ 6x ≥ 3 + 8x - 4

⇒ 6x ≥ 8x - 1

⇒ 1 ≥ 8x - 6x

⇒ 1 ≥ 2x

⇒ x ≤ 1/2

Thus, The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,

⇒ x ≤ 1/2

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Which expression is equivalent to √48x5, if x> 0?
A. 12x³√3x
B. 4x³√3
C. 4x²√3x
D. 12x²√

Answers

Answer:

C. 4x²√(3x)

Step-by-step explanation:

if x > 0

[tex]\sqrt{48x^{5}} =\sqrt{48} \times \sqrt{x^{5}}[/tex]

          [tex]=\sqrt{16\times 3} \times \sqrt{x^{4}\times x}[/tex]

          [tex]=\sqrt{16} \times \sqrt{3} \times \sqrt{x^{4}} \times \sqrt{x}[/tex]

          [tex]=4\times \sqrt{3} \times \sqrt{\left( x^{2}\right)^{2} } \times \sqrt{x}[/tex]

          [tex]=4\times \sqrt{3} \times x^{2}\times \sqrt{x}[/tex]

          [tex]=4\times x^{2} \times \sqrt{3} \times \sqrt{x}[/tex]

          [tex]=4\times x^{2}\times \sqrt{3x}[/tex]

Which of the following is the center and radius of the circle?

x2 + y2 + 4x – 14y + 46 = 0

Center (2, –7); r = 7
Center (–4, 14); r equals square root 46
Center (4, –14); r = 46
Center (–2, 7); r equals square root 7

Answers

The centre of the circle is (-2,7) and the radius is √7 ,  Option D is the right answer.

What is the standard equation of a Circle ?

The standard equation of a Circle is

(x-h)² +(y-k)² = r²

where h and k is the centre of the circle , r is the radius

The given equation is

x² + y² + 4x – 14y + 46 = 0

x² +4x +4 -4 +y² -2.7y + 49-49+46 = 0

(x + 2)² + (y-7)² -4-49+46 = 0

(x + 2)² + (y-7)²= 7

Therefore the centre of the circle is (-2,7) and the radius is √7 ,

Therefore Option D is the right answer.

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What is the product of (2x - 1) (x + 4)

Answers

Answer: 2[tex]x^{2}[/tex]+7x-4

Step-by-step explanation:

Product implies multiplication so just multiply it out.

(2x-1) (x+4)

2x^2+8x-1x-4  (Combine like terms)

2x^2+7x-4

Which of the following is a sum of cubes?

Answers

Answer:

x^3 + 8y^6

Step-by-step explanation:

Answer:

the answer is B !!!

Step-by-step explanation:

thank me later lol

The function f(x)= –StartRoot negative x EndRoot is shown on the graph.

Answers

The range of the required function f(x)  = -√-x is all real values less than or equal to 0.

The nature of the function is imaginary because of the negative sign present inside the root. Hence the range of the function exists only and only if the function gives real  values in each of its outcomes.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

As per question
f(x) = -√-x
clearly, for each positive real number the function becomes imaginary.
So the domain of the given function lies  (-∞, 0).
and for every x in its domain function has its exists in range of all real values less than and equal to zero.

Thus, the range of the function f(x) ≤ 0.

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The short leg of a 90-45-45 triangle is 3 and the long leg is 7. What is the hypotenuse?

Answers

The short leg of a 90-45-45 triangle is 3 and the long leg is 7. The hypotenuse would be [tex]c = \sqrt{58}[/tex].

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

The short leg of a 90-45-45 triangle is 3 and the long leg is 7.

Since this is a right triangle, we can use the Pythagoras theorem

a^2+b^2 = c^2  

where a and b are the legs and c is the hypotenuse

[tex]3^2 + 7^2 = c^2\\\\9 + 49 = c^2\\\\58 = c^2\\\\c = \sqrt{58}[/tex]

Hence, The hypotenuse would be [tex]c = \sqrt{58}[/tex].

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Bayes' rule combines accuracy, false positives, and _____ to determine the probability of a result.

Answers

The blank space in the task content should be filled with; false negatives.

What is Baye's rule?

Baye's theorem can be used to correct measurement errors provided the real probabilities, the chance of a false positive and the chance of a false negative is known.

Hence, it follows from the methodology above that the Baye's rule combines accuracy, false positives and false negatives in a bid to determine the probability of a result.

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Which of the following describes the behavior of the graph shown over the interval (-2,2)?

Answers

Hello!

We are trying to describe the behavior of the graph given in the question.

To help us understand how to solve this question, we would need to understand concavity.

There are two types of concavity:

Concave upConcave down

When a graph is concave up, the slope of the line would look like a "U".

When a graph is concave down, the slope of the line would look like a "U" that is flipped upside down.

In this case, we can see that the graph is concave down.

We can tell that the slope is negative due to the fact that the slope is going down, which results in the graph having a negative slope.

We can also tell that the graph is decreasing due to the fact that the line is doing downward.

Answer:

C). negative and decreasing

Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"

12 ⋅ x − 4
x − 4 ⋅ 12
4(x − 12)
12(x − 4)

Answers

Answer:

[tex]12(x - 4)[/tex]

Step-by-step explanation:

The question says, "twelve times the difference of a number and four"

Let's start with the first number, which is twelve = 12. Moving on, we have times = ×, then the difference which is minus(-). A number is unknown, any aphabet can be used to represent the number, so, we represent with 'x', and then four = 4.

Arranging them, we have:

[tex]12 \times x - 4[/tex]

in algebraic equations, times is always represented by bracket. Therefore, our final answer is:

[tex]12(x - 4)[/tex]

I hope this helps.

In the diagram below, all the measurements are given correct to the nearest cm.
Not drawn
to scale
28 cm
15 cm
21 cm
42 cm
Calculate the greatest possible area of the shaded region.
+
P

Answers

Answer: 462 square cm

Step-by-step explanation:

The area of the shaded region is the difference between the areas of the two rectangles.

Larger Rectangle: (42)(21)

Smaller Rectangle: (28)(15)

Area of shaded: (42)(21)-(28)(15)=462 square cm

Which of the following is correct based on this picture?

Answers

B. none of these are correct


Solve 4|x + 6| = 16

Answers

Answer:

-10 and -2

Step-by-step explanation:

First, divide both sides by 4 to get |x+6| = 4
Then, Take the absolute vaule on both sides
x+6= 4 or -4
So, x could be 2 vaules
Your welcome!

4 | x + 6 | = 16

Divide both sides by 4.

[tex]\bf{\dfrac{4|x+6|}{4}=\dfrac{16}{4} }[/tex]

[tex]\bf{|x+6|=4 }[/tex]

Absolute value is solved.

[tex]\bf{|x+6|=4 }[/tex]

We know either x + 6 = 4 or x + 6 = -4.

                                                                       

x + 6 = 4 (Possibility 1)

x + 6 - 6 = 4 - 6 (Subtract 6 from both sides)

x=−2

                                                                       

x + 6 = -4 (Possibility 2)

x + 6 - 6 = -4 - 6 (Subtract 6 from both sides)

x=-10

Solution:

x=−2 or x=−10

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Let the Universal set be the letters a through j: U = (a, b, ..., i, jJ. Let A = (b, e, g, i), B = {a, b, e, f), and C = {a, e, i, ji) List the elemefits of the set An (BU C)

Answers

Answer:

A ∩ (B U C) = {b , e , i}

Step-by-step explanation:

A = {b , e , g , i}

B = {a , b , e , f}

C = {a , e , i , j}

We note B U C ,The union of the two sets B and C

which is the set that contains all elements

that are in B or in C .

The easiest way to determine B U C :

Step1 : (write all the elements of B and C side by side)

B U C = {a , b , e , f , a , e , i , j}

Step2 : (delete the repeated elements)

B U C = {a , b , e , f , i , j}

FINDING A ∩ (B U C) :

it’s the set of elements that exist in both sets

A and B U C simultaneously:

A = {b , e , g , i}

B U C = {a , b , e , f , i , j}

Then

A ∩ (B U C) = {b , e , i}

function F(x)=x+1 and g(x)=5x+1 find the f(4)=g(x+1)

Answers

The function of f(4) = g(x+1) gives the value of x that is -1/5.

What is the function addition?

It is the addition of two functions similar to the addition of any two polynomial functions.

Given;

F(x)=x+1

g(x)=5x+1

We need to find f(4)=g(x+1)

First substitute x = 4 in f(x)

F(x)=x+1

F(4) = 4 + 1

F(4) =  5

Now substitute x = x + 1 in g(x)

g(x)=5x+1

g(x + 1) = 5(x + 1) + 1

g(x + 1) = 5(x + 1) + 1

g(x + 1) = 5x + 5 + 1

g(x + 1) = 5x + 6

Then ,

F(4) = g(x + 1)

5 = 5x + 6

5x = 5 - 6

5x = -1

x = -1/5.

The function of f(4) = g(x+1) gives the value of x that is -1/5.

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What are the possible values of xin 8x² + 4x=-1? ​

Answers

Answer:

hey

Step-by-step explanation:

4

Answer:

(-½,0)

Step-by-step explanation:

please mark me brainliest


the answer to this question

Answers

From indices : when you have a fraction like 3⁶/5

we can also write it as (5√3)^6

and we were given (c√a )^b

meaning that anywhere the letters are, we put them as the numbers there.

therefore: a = 3 , b = 6 , c = 5

Hope this helps and you understood it.

you're super free to ask any more questions eh.

Good luck ✅.

Task
On April 15, 1912, the Titanic struck an iceberg and rapidly sank with
only 710 of her 2,204 passengers and crew surviving. Data on survival
of passengers are summarized in the table below. (Data source:
http://www.encyclopedia-titanica.org/titanic-statistics.html)
a.
First class passengers
Second class passengers
Third class passengers
Total passengers
Survived
201
118
181
500
Did not survive
123
166
528
817
Total
324
284
709
1317
a. Calculate the following probabilities round your answers to three decimal points
i. If one of the passengers is randomly selected what is the probability that this passenger survived
iii. If one of the passengers is randomly selected what is the probability that this passenger was in first class and survived
iv. If one of the passengers is randomly selected from the first class passengers what is the probability that this passenger survived
v. If one of the passengers who survived is randomly selected what is the probability that this passenger was in first class
vi. If one of the passengers who survived is randomly selected what is the probability that this passenger was in third class?

Answers

The probability that a random passenger survived is 0.38

The probability that this passenger was in first class and survived is 0.153

The probability that the passenger in the first class survived is 0.620

The probability that the passenger that survived was in first class is 0.402

The probability that the passenger that survived was in third class is 0.362

What are the probabilities ?

The probability that a random passenger survived is 500 / 1317 = 0.38

The probability that this passenger was in first class and survived is 201 / 1317 = 0.153

The probability that the passenger in the first class survived is:  201 /324 = 0.620

The probability that the passenger that survived was in first class: 201/500 = 0.402

The probability that the passenger that survived was in third class is: 181 / 500 = 0.362

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I need it now!!! pls​

Answers

Answer:

To answer 5)

First we know that...

[tex]\frac{235}{360}[/tex] of the circle = 94 people

To find total people=

[tex]\frac{235}{360}[/tex]×x=94

x=144 people

To find the number of hokey players: 360-(235+90) =35

so, [tex]\frac{35}{360}[/tex]×144=14

So, 14 people are chose hockey

Other Questions
Question 5(Multiple Choice Worth 5 points)(MC)Read these paragraphs and answer the question that follows:1. In 2008, more than one million American students gave nearly 20 million service hours to their communities. They made a difference in people's lives and learned someschools, are actively promoting service for all citizens as a way to be involved, help others, and improve themselves.2. Service is helping other people and being active in your community. For example, one group of teens planted a community garden with their friends. They grow a varietydonate the produce to a local soup kitchen. Workers there use the produce to help feed people in the community. By tending the garden and donating their produce, thecommunity.3. Service is valuable in ways that cannot be measured in dollars. People volunteer or serve others without expecting money or gifts in return. Service is not about earningaction and contributing to the common good. The people who serve as well as those who receive help benefit in many ways that are more important than money or giftswho may otherwise go hungry. The soup kitchen is extremely valuable for those struggling to get enough to eat. Those serving learn about compassion and how helping4. Millions of Americans are making society better for themselves and for others. They are participating citizens in their community, raising up those who are less fortunate.perspectives and needs of others, which are invaluable and important qualities of good citizens.What is the main idea of this article excerpt?O Service means helping others in the communityO Service benefits the helpers and those helpedO service is valuable because it is done for free.O Service requires help with food production. what is one major problem that has resulted from globalization in the 20th and 21st centuries?a.) Countries have less power to economically influence one another.b.) global population growth has slowed to its lowest recorded levels.c.) cultural interaction between different regions has greatly declined.d.) many cultural traditions and languages might die out.hhhhhheelllpppp!!!!!!!!! Simplify 1-4 can you show how you got the answer on a sheet of paper. Examination malpractice dilutes sanctity and integrity of certificate hii guys please answer this question if two -1 and 2 are two zeroes of the polynomial 2x3- x2 - 5x - 2, find its third zero Which two points on the number line represent numbers that can be combined to make zero? B and DA and BC and DA and C explain the roles of mRNA and tRNA The figure below is a right rectangular prism.XWMNxYNO122xTWhich expression represents the volume of the prism?01xOO(+)0 (x) Line m passes through the points (-4,3) and (-4,7). What is the slope of the line that is parallel to line m? What happens to the ecosystems resilienceto disturbance The New England Primer was the standard text throughout the colonial period. true or false what is the main use of technology what are letters of reference called How do I graph y3=1/2(x+3) on this graph? :c How is the two point formula used to find the equation of a line when 2 points are known? a. taking the change in y over the change in x c. dividing the first y by the first x b. taking the change in x over the change in y d. dividing the first x by the first y Please select the best answer from the choices provided A B C D Which of the following is an example of a testable scientific hypothesis? A. Why do plants grow better in the Sun than in the shade? B. Gorillas are happier in the wild than they are in the zoo. C. Roses grow faster in the Sun than in the shade. Read the excerpt from "A Genetics of Justice by Julia Alvarez.By the time my mother married my father, however, she knew all about the true nature of the dictatorship. Thousands had lost their lives in failed attempts to return the country to democracy. Family friends, whom she had assumed had dropped away of their own accord, turned out to have been disappeared. My father had been lucky. As a young man, he had narrowly escaped to Canada after the plot he had participated in as a student failed. This was to be the first of two escapes. That same year, 1937, El Generalsimo ordered the overnight slaughter of some eighteen thousand Haitians, who had come across the border to work on sugarcane plantations for slave wages.What is the central idea of this excerpt? 3. Write one scene of a narrative. Use primarily dialogue to develop the plot of the scene, including itsrising action and climax. Be sureto engage and orient the reader to the situation in the story, establishmore than one character, and create a smooth progression of events. (15 points) The temperature is dropping at a rate of five degrees per hour.Let d represent the number of degrees the temperature drops.Let t represent the number of hours that pass.Which is the dependent variable?Othe number of hoursOthe number of degrees the temperature dropsO the rate at which the temperature dropsthe day of the week Another way to write g(h(x)) is(gOh)(x)(hog)(x)