If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

The probability that event B occurs is 17%.
The probability that event B occurs is 83%.
The probability that event A occurs, given that event B occurs, is 83%.
The probability that event B occurs, given that event A occurs, is 83%.

Answers

Answer 1

Answer:

c

Step-by-step explanation:

edge 2023

Answer 2

The probability that event B occurs is 83%. Therefore, option C is the correct answer.

What is the independent variable?

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables receive this name because, in an experiment, their values are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Given that, events A and B are independent, and the probability that event A occurs is 83%.

If the outcome of one event has no bearing on the fate of the other, the two events are said to be independent events. Instead, we may say that an event is considered independent if it does not affect the likelihood of another event.

Since, the events A and B are independent, if the probability that event A occurs is 83%.

Then, the probability that event B occurs is 83%.

Therefore, option C is the correct answer.

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Related Questions

logan trades 50 pennies for nickels he gets a nickel for each group of 5 pennies what equation can be used to find how many nickels logan uses

Answers

The  equation  that can be used to find how many nickels logan uses is: 50÷5.

Equation to find the number of nickels

Given:

Total pennies=50

Logan got a nickel of 5 pennies=1

Hence:

Number of nickels=1÷5×50

Number of nickels=50÷5

Number of nickels=10 nickels

Therefore the  equation  that can be used to find how many nickels logan uses is: 50÷5.

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Find c. Give your answer in
the simplest form.
c = [?]V []
d

7V2
a
45

30
b
C
Enter the number that belongs in
the green box.

Answers

Answer:

see the attachment photo!

3 yards 5 feet 6 inches x 7=

Answers

Answer:

1218 inches

Step-by-step explanation:

First, let's make our numbers equivalent to a certain unit. Preferably inches, since we can't turn inches into yards or feet, but we can turn yards and feet into inches.

3 yards is 9 feet, which when multiplied by 12 (12 inches in a foot) is 108.

5 feet times 12 is 60 inches.

6 inches is 6 inches.

108+60+6 is 174

Multiply all that by 7 and you get your answer of 1218 inches.

Hope this helps!

What is true about the solution to the system of inequities shown?


-2 -5-4-3-2-1, y≤x-1 y≤ x-3 O All values that satisfy y ≤ x-1 are solutions. All values that satisfy y ≤x-3 are solutions. O All values that satisfy either y≤ x-1 or y≤ x-3 are solutions. There are no solutions. Save and Exit Mark this and return V Next Sube

Answers

The true solution to the system of inequities shown is B; All values that satisfy  [tex]y \leq \dfrac{ 1}{3}x - 3[/tex] are solutions.

What is a system of inequalities?

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalities.

A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

A set of such values is called a solution set to the considered equation or inequality.

The true solution to the system of inequities shown is B;

All values that satisfy  [tex]y \leq \dfrac{ 1}{3}x - 3[/tex] are solutions.

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Sammi has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months.


How much is in Sammi's account at the end of the 6 months?

Enter Your answer into the box

Answers

Answer:

i think the answer is 278.75

If R is (-4, 7) and S is (-2, 12), what is the component form of the vector R.S?
(8,84)
(2,5)
(-6, 19)
(-3,9.5)

Answers

Answer:

(2, 5)

Step-by-step explanation:

Given:

R = (-4, 7)S = (-2, 12)

To find the components of [tex]\overrightarrow{RS}[/tex] we need to go from R to O and then O to S.  Remember that [tex]\overrightarrow{RO}[/tex] is the negative of [tex]\overrightarrow{OR}[/tex].  Therefore:

[tex]\begin{aligned} \displaystyle \overrightarrow{RS} & =\overrightarrow{RO}+\overrightarrow{OS}\\& = \overrightarrow{OS}-\overrightarrow{OR}\\& =\binom{-2}{12}-\binom{-4}{7}\\& =\binom{2}{5}\end{aligned}[/tex]

Therefore, the component form (x, y) of the vector [tex]\overrightarrow{RS}[/tex] is (2, 5)

ill give brainliest, help

Answers

Answer:

2 up 3 run

Step-by-step explanation:

just count the squares until u reach a part where the line touches again

Jasmine played in a basketball tournament. The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. If Jasmine missed 9 baskets during the tournament, how many baskets did she make? Draw a diagram to demonstrate how you found your answer.

Answers

A ratio shows us the number of times a number contains another number. The number of baskets Jasmine made is 24.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. Therefore, we can write,

(Number of baskets Missed)/ (Number of baskets made) = 3/8

If Jasmine missed 9 baskets during the tournament, then the ratio can be rewritten as,

(Number of baskets Missed)/ (Number of baskets made) = 3/8

9 / (Number of baskets made) = 3/8

(9×8)/3 = (Number of baskets made)

Number of baskets made = 24 baskets

Hence, the number of baskets Jasmine made is 24.

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S 2. Let f(x) = x - k√x
a. Find a value of k such that the function has a critical point at x = 25.
b. Is the above critical point a local maximum, local minimum or neither? Show calculus to support your answer.​

Answers

a. A critical point at x = 25 would mean f'(25) = 0 or doesn't exist. We have derivative

[tex]f(x) = x - k \sqrt x \implies f'(x) = 1 - \dfrac k{2\sqrt x}[/tex]

so that

[tex]f'(25) = 1 - \dfrac k{2\sqrt{25}} = 1 - \dfrac k{10} = 0 \implies \boxed{k=10}[/tex]

b. Taking the second derivative, we get

[tex]f''(x) = \dfrac k{4 x^{3/2}} = \dfrac5{2 x^{3/2}}[/tex]

At x = 25, the second derivative has a positive sign,

[tex]f''(25) = \dfrac 5{2 \times 25^{3/2}} = \dfrac 5{2\times5^3} = \dfrac1{50} > 0[/tex]

which means f(x) is concave upward around x = 25, so this critical point is a local minimum.

Worth 20 points! Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be used.
What are the missing side lengths for triangle ABC?
(file is attached below!

Answers

The value of the perpendicular is 12 and the hypotenuse is 8√3.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The value of the sides will be calculated as:-

The perpendicular side will be calculated by using tan theta.

tan Ф = Perpendicular / BAse = P / 4√3

P = 4√3 x tan(60)= 4 √3 x √3 =12

The value of the hypotenuse will be calculated by using the Cos angle:-

Cos 60 = Base \ Hyputenuse.

Cos 60 = 4√3 / Hypotenuse

1 / 2 = 4√3 / Hypotenuse

Hypotenuse = 2 x 4 x √3 = 8√3

Therefore the value of the perpendicular is 12 and the hypotenuse is 8√3.

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The base area of a rectangular water tank is 1000cm². If the tank has a height of 100cm' a) Find the capacity of the water tank.​

Answers

The capacity or volume of the rectangular water tank is 100000 cm³.

How to find the volume(capacity) of a water tank?

volume of a rectangular water tank = base area × height

where

base area = lw

Therefore,

base area = 1000 cm²

height = 100 cm

Therefore,

capacity(volume) of the water tank = 1000 × 100 = 100000 cm³

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Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for T.
A cylinder has a radius of 7 meters and a height of 3 meters.
The volume of the cylinder is approximately
m³.

Answers

Answer:

[tex]\boxed{ \rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3} } \rm (rounded \: to \: nearest \: tenth)[/tex]

Step-by-step explanation:

Given dimensions:

Radius of the cylinder = 7 metresHeight of the cylinder = 3 metres

Given value of π :

π = 3.14

To find:

The Volume of the cylinder

Solution:

Here, we'll need to use the formulae of the volume of cylinder,to find it's volume.Its actually like a savior while solving these type of questions.

[tex] \pink{\star}\boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}\pink{\star}[/tex]

where,

π = 3.14r² = (radius)²h = height

Plug/substitute them onto the formulae,then simplify it using PEMDAS.

[We'll substitute the value of π later]

[tex] \rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} \times 3[/tex]

[tex] \rm \: Volume_{(Cylinder)} = \pi(49)(3)[/tex]

[tex] \rm \: Volume_{(Cylinder)} = 147\pi \: [/tex]

Now substitute the value of π.

[tex] \rm \: Volume_{(Cylinder)} = 147 \times 3.14[/tex]

[tex] \rm \: Volume_{(Cylinder)} = 461.58 \: {m}^{3} [/tex]

[tex] \boxed{\rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3}} \rm (rounded \: to \: nearest \: tenth) \: [/tex]

Hence, we can conclude that:

The volume of the cylinder is approximately

461.6 .

[tex] \rule{225pt}{2pt}[/tex]

A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer’s value?

SOMEONE HELP PLS, YOU’LL GET FREE EASY POINTS IF THE ANSWER IS RIGHT!!!!

Answers

Let's first consider: the fact that a new computer loses 1/2 of its value

 ⇒ third choice and fourth choice are eliminated

    ⇒ because of the graph project the computer's value as growing over  

         years

Now let's try to set up an equation:

After 1st year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}[/tex]

After 2nd year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2} )^2[/tex]

After 3rd year ⇒ Computer's value =[tex]total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3[/tex]

     

 ..... (Hopefully you see a pattern)

After x year ⇒ Computer's value = [tex]total_.value*(\frac{1}{2})^x[/tex]

Therefore, the equation is: [tex]total_.value*(\frac{1}{2})^x[/tex]

  ⇒that means the graph has to exponentially decreasing as it has

     an exponent (meaning the function is exponential) and a base less

     than 1 (meaning that the function is decreasing)

Answer: Choice (1)

Hope that helps!

Answer:

A

Step-by-step explanation:

After x year, computer's value will be (1/2)^x

So the graph has to exponentially decreasing.

Both A and B show decreasing value but B is linear. So B is incorrect

C and D show increasing value so they are both incorrect.

the lenghts of five boxes are shown in the table which line plot shows the data from the table

Answers

Answer:

The bottom right line plot.

Step-by-step explanation:

In the table, 9 1/4 shows up twice. This can be represented in the line plot by putting 2 x's over the 9 1/4 point.

19
Select the correct answer.
A developer buys an empty lot to build a small house. What is the area of the lot?

Answers

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

What is Area ?

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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Answer:

Step-by-step explanation:

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

What is Area ?

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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Find the area of a regular polygon with 5 sides that has a side length of 6 inches and an apothem of 9 inches.

Area = [?]in2

Answers

Answer:

see the attachment photo!

Answer: The correct answer is 135 in².

Step-by-step explanation: An area of a polygon is this:

Area = (number of sides × length of one side × apothem)/2

(5 x 6 x 9) / 2 = 135

How do you know that △STU is similar to △PQR? Complete the sentence to explain your answer.
PLEASEE I NEED HELP!! PLEASE HURRY

Answers

△STU is mapped to △PQR with center of dilation (-1.5, -1.5) and a scale factor of 2 and reflected about the x-axis.

How to interpret Dilation of Triangles?

From the given graph, we can see that;

SU is 1.5 units and the corresponding side of the dilated figure is 3 units. Thus, the scale factor of dilation is; 3/1.5 = 2

Now, we can see clearly that it is reflected about the x-axis as the x-values remain negative in △STU while the y-values are now positive in △PQR.

Lastly, we can see the dilation was with center (-1.5, -1.5)

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Determine the number of triangles that can be constructed given the conditions in a-d.
a. m b. Three line segments measure 21 inches, 7 inches, and 4 inches → _
c. RS = 14 cm, m d. m

Answers

Only b we can check

Line lengths are 21in,7in,4in

The rule is sum of two sides must be greater than third side

Check

21+7>47+4<2121+4>7

They can't form a triangle

what percentage of 2m is 40cm​

Answers

Answer:

20%

Step-by-step explanation:

the units of measure must be the same, so

2m = 2 × 100 cm = 200 cm

then

[tex]\frac{40}{200}[/tex] × 100%

= 0.2 × 100%

= 20%

Answer:

20%

Step-by-step explanation:

2 m = 200 cm

We are required to find: what percentage of 2m is 40cm.

Required percentage [tex]=\frac{40}{200}\times 100[/tex]

Required percentage [tex]=\frac{4000}{200}[/tex]

Required percentage [tex]=20%[/tex]


Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following
equation.ñ
y = 2x^2 -x + 6

Answers

Answer:

  (1/4, 5 7/8)

Step-by-step explanation:

The vertex is the extreme point of the graph. Here, it is a minimum.

For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)

__

The graphing calculator in the attachment shows the vertex is ...

  (0.25, 5.875) = (1/4, 5 7/8)

Can u help me pls i will be putting some more problems
look the image

Answers

28+ 90 + 2x = 180
2x = 62
x = 31

Step-by-step explanation:

2x + 28° + 90° = 180° ( The sum of all angle of triangle is 180° )

Now you may add 28° and 90° and subtract it from 180° ...

2x = 62° ..

Now...divide 62 by 2 ...

x = 31°

hence the value of x is 31°....

what is 232 + 88+ 61 =

Answers

Answer:

381

Step-by-step explanation:

232 + 88 = 320

320 + 61 = 381

Hope this helped and brainliest please

Find the length of side b below using Law of Sines. Give the exact value as an expression and an approximation to the nearest tenth.

Answers

Answer:

b ≈ 7.8

Step-by-step explanation:

using the law of sines

∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then

[tex]\frac{b}{sin40}[/tex] = [tex]\frac{7}{sin35}[/tex] ( cross- multiply )

b × sin35° = 7 × sin40° ( divide both sides by sin35° )

b = [tex]\frac{7sin40}{sin35}[/tex] ≈ 7.8 ( to the nearest tenth )

The scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.
scale factor = 2:7
SA= 8 cm²
V = 128 cm³
A) SA=98 cm², V = 5488 cm³
B) SA= 686 cm², V = 5488 cm³
C) SA= 98 cm², V = 686 cm³
D) SA=98 cm², V = 784 cm³
E) SA 14 cm². V = 112 cm³

Answers

I think that B might be the best answer

what is the product of -2/7and-3/7

Answers

6/49

Step-by-step solution.2/7 × 3/7=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2×37×7 =6/49

This fraction cannot be reduced.

Therefore:

2/7×3/7=6/49

Solution by formals.

Apply the fractions formula for multiplication, to

2/7×3/7

and solve

2×37×7=6/49

Therefore:

2/7×3/7=6/49

Bryannasalaz

If you horizontally shift the square root parent function, F(x)=√x, right eight
units, what is the equation of the new function?
O A. G(x) = vx +8
OB. G(x)=√x-8
OC. G(x)=√x - 8
OD. G(x) = √√x+8

Answers

The function g(x) = √(x - 8) represents a horizontal shift of the square root parent function f(x) = √x, to the right by eight units. Option B.

To horizontally shift the square root parent function, f(x) = √x, right eight units, we need to replace x with (x - 8) in the function. This shift will move the entire graph eight units to the right.

So, the equation of the new function, let's call it g(x), will be:

g(x) = √(x - 8)

Therefore, the correct choice is  g(x) = √(x - 8).

This means that for any given value of x, we substitute (x - 8) in the original square root function. The effect of this shift is that all x-values on the graph of g(x) will be eight units greater than their corresponding x-values on the graph of f(x).

For example, if we consider the point (8, 2) on the graph of f(x), after the horizontal shift, it will be located at (16, 2) on the graph of g(x). Similarly, the point (0, 0) on the graph of f(x) will shift to (8, 0) on the graph of g(x).

The function g(x) = √(x - 8) represents a horizontal shift of the square root parent function f(x) = √x, to the right by eight units. This transformation allows us to analyze and understand how the graph of the square root function is affected by horizontal shifts. SO Option B is correct.

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Enter the correct answer in the box. Write the sum of 12√23x13 + 14√23x13 in simplest form, if x > 0.​

Answers

Answer:

26x^6 sqrt 23x

Step-by-step explanation:

a running relay team ran a 400 meter race in a record-setting time of 36 seconds.what was their average speed to the nearest tenth of a meter per second?

Answers

Answer:

406858reuyy igcbjiy469633

the width of a rectangular prism is 7cm, height is 5cm and length is 13 cm. find the volume​

Answers

455 cm

7 x 5 x 13 = 455
Given:Width= 7 centimetersHeight= 5 centimeters Length= 13 centimetersTo find:

The volume of the given rectangular prism.

Solution:

[tex]\huge\boxed{Formula: lwh}[/tex]

To find the the volume we'll have to multiply the height, width and length.

[tex]V=\: 13×7×5 [/tex]

[tex]\large\boxed{V= \:455\: {cm}^{3}}[/tex]

Therefore, the volume of the given rectangular prism is 455 cubic centimeters.


3x-2y=12
6x-4y-24
OIt has infinitely many solutions.
OIt has no solution.
O It has one solution (2, -3).
O It has one solution (4, 0).

Answers

Answer: NO SOLUTION!!
(WORK SHOWN BELOW)
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Mrs. T. now had enough potting soil to last her through September. Jilly looked at a couple of maiden-hair ferns that were beginning to yellow in their small pots. She loved their lacey fronds and had grown concerned over the last few days that they needed repotting or a boost of fertilizer. She had also worried that she would continue to find chores that needed doing, plants that needed help, right up until the minute she left today. She hated unfinished things. She hated details not being tended to.The sun had been above the trees and blasting the greenhouse for a good hour now. Jilly listened for the familiar whirr of the automatic vents opening. When the greenhouse reached a certain temperature, the vents would open automatically. The vents would have a cooling effect for an hour or so, and then no amount of breeze would put a dent in the heat. Mrs. T. often claimed Jilly must be part reptile as she was able to work longer in the greenhouse than anyone else. The heat just didn't bother her. In fact, Jilly often looked forward to the warmth of the greenhouse and feeling the heat seep into her bones. It felt good to her, but she understood others who found it hard to breathe in 100 degree temperatures.Jilly heard the greenhouse door bang, and looked up from her ferns to see Mrs. T. walking down the aisle with a tray of young plants. Mums, Jilly supposed, the flowers everyone wants for fall. She had helped Mrs. T. take cuttings and plant the small stems in new pots. They were doing nicely from the look of things."We will keep these in here for now," said Mrs. T. "They are getting too much rain outside."It had been a rainy couple of days. Jilly knew, as well as anyone, that overwatering could kill potted plants quickly."Do you remember when I overwatered those mint plants?" Jilly asked Mrs. T."I used to think no one could kill a mint plant," Mrs. T. said, laughing."Well I am full of surprises, apparently," Jilly replied. Jilly remembered the sad green plants that just kept looking more and more wilted no matter how much water she gave them. It was a beginner's mistake, and Jilly had been so embarrassed for making it."That you are," replied Mrs. T. "But I know you learned a lesson you won't ever forget.""Of course. Herbs like their roots damp, not flooded," Jilly answered."Well that is not the lesson I was thinking of," Mrs. T. said.Jilly wondered for a minute what the lesson could be. She straightened the rows of geraniums in front of her, picking up one or two to check for aphids under the leaves. It had been a summer full of lessons, some especially hard for a girl who thought she knew a lot about plants. She breathed deeply the warm, humid air. She hated the cooped up feeling of air conditioned air, the feeling of being cut off from the sun. She knew school and the library would offer only these uncomfortable feelings and little time to spend in the sun or with plants. She had come to understand this over the summer-her need to be around growing things was huge."I'm not sure, Mrs. T." she said, "I've learned so much this summer. I couldn't possibly say what you are thinking.""You did learn many lessons, Jilly. You knew so much when you started. You've gone farther than any other assistants I've had. I will miss you.""And I will miss you," Jilly replied. "Thank you for the opportunity and the job." Jilly watched Mrs. T. put the tray of mums down on the center row of tables. Wearing her familiar brown apron, Mrs. T. looked just as she had on Jilly's first day."My pleasure, of course, dear," Mrs. T. replied. "My hope for you, as for all my assistants over the years, is that you will learn as much about yourself as you do about growing plants."Recalling her thoughts all morning, about what she enjoyed about her summer job, Jilly realized she knew much more than just how to not drown the mint.Which line from the text best describes Mrs. T.? (5 points) aJilly heard ... Mrs. T. walking down the aisle with a tray of young plants. bShe had helped Mrs. T. take cuttings and plant the small stems in new pots. cWearing her familiar brown apron, Mrs. T. looked just as she had on Jilly's first day. d"I used to think no one could kill a mint plant," Mrs. T. said, laughing. the spec sheet for the actual 1968 corvette shows the front frame dimension to be 32.875 inches. what would this measurement be, in both fractional and decimal form, on the hot wheels 1:64 model? which form of the measurement would be easier to work with? Who was part of the assembly in ancient athenian democracy? (1 point) free adult males adult males and females all adult males merchants and slaves Which country was the first to declare war? How can people preserve genetic variety in plants grown by grafting or splicing?