What conjecture can you make about the number of regions created by n unique diameters ?

Answers

Answer 1

Answer:

2n

Step-by-step explanation:

Look at the photo below for the details.

:)

What Conjecture Can You Make About The Number Of Regions Created By N Unique Diameters ?
Answer 2

Diameter of circle is known as greatest chord of the circle.

Number of regions created by n unique diameter is 2n.

Diameter of circle is two times of its radius.

By 1 diameter, two region is created in circle

By 2 diameter, 4 region is created in circle.

By 3 diameter , 6 region is created in circle.

Therefore, by n unique diameters, 2n regions is created in circle.

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Related Questions

A person standing d = 144 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is a = 13°, while the angle of elevation to the top of the mirror is b = 12°. Find the vertical dimension of the mirror. (Round your answer to the nearest whole number.)

Answers

13.42 I think but I wish I could help

Answer:

13.42

Step-by-step explanation:

PLEASE HELP ME!!!


Ms. Grady has 150 pictures in an album. Of these pictures, 48 show her friends, 24 show her family, and 78 show
only Ms. Grady. Ms. Grady is in of the pictures that show her friends and of the pictures that show her family.
Based on this information, which statement is true?
a. The probability of randomly selecting a picture that shows Ms. Grady is 76%.
The probability of randomly selecting a picture that shows Ms. Grady with her friends is greater than the
probability of randomly selecting a picture that shows Ms. Grady with her family.
The probability of randomly selecting a picture that does not show Ms. Grady is 52%.
d. The probability of randomly selecting a picture that shows Ms. Grady with her family is 3 times the
probability of randomly selecting a picture that shows only her friends.​

Answers

Answer:

B

Step-by-step explanation:

the others wouldn't make seans

airline fairs for a flight from dallas to austin at $30 for first class and $ 25 for tourist class. the flight had 52 passengers who paid $1360, how many tourist class and first class passengers are there?

Answers

There are 12 first class passengers and 40 tourist class passengers on the flight from Dallas to Austin.

Let's define the number of first class passengers as x and the number of tourist class passengers as y.

We can set up the following system of equations based on the given information:
The total number of passengers: x + y = 52
The total revenue from passengers: 30x + 25y = 1360

We can solve this system of linear equations,
y = 52 - x
30x + 25(52 - x) = 1360
30x + 1300 - 25x = 1360
5x + 1300 = 1360
5x = 60
x = 12

So, there are 12 first class passengers.
Using y = 52 - x, we find:

y = 52 - 12 = 40

Thus, there are 40 tourist class passengers.

| 2.) Are the two expressions below equal?
4a + 4a + 3a and 7a + 3a
Please help

Answers

Answer:

21a

Step-by-step explanation:

yes they are equal.. all you need is just to add all the number to get your answer!

Answer:

21a

Step-by-step explanation:

because ,

4a+4a+3a =11a

and 7a+3a=10a

and they are equal so what you need is that

just to add them and for maths (and) means addition ..... so therefore the answer is 21a

The coffee cups can hold 7/9 of a pint of liquid. If Emily puts 2/3 of s pint of coffee into a cup, how much milk can a customer add?

Answers

1/9 pints of milk can be added by a customer

Step-by-step explanation:

We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee

Given

Total Capacity of a cup = 7/9 pints

Coffee to be added in a cup = 2/3 pints

So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.

So,

[tex]Amount\ of\ milk = \frac{7}{9} - \frac{2}{3}\\=\frac{7-6}{9} = \frac{1}{9}[/tex]

Hence,

1/9 pints of milk can be added by a customer

Keywords: Fractions, addition

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Amount of milk add by customer is 1/9 pint of liquid

Given that;

Holding capacity of cup = 7/9 pint of liquid

Liquid fill by Emily = 2/3 pint of liquid

Find:

Amount of milk add by customer

Computation:

Amount of milk add by customer = Holding capacity of cup - Liquid fill by Emily

[tex]Amount\ of\ milk\ add\ by\ customer = \frac{7}{9} - \frac{2}{3}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{7-6}{9}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{1}{9}\\\\[/tex]

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I have my friends answer but I need to show working out?

Answers

Answer:

42

Step-by-step explanation:

You change 1/2 to 3/6

1/2=3/6

Then, you take 3-1=2 to find the difference

Next, as you found out that 2 units equals to 14, you take 14÷2=7

As there are 6 units, you take 7×6=42

Thus, the answer 42

Answer:

42

Step-by-step explanation:

Let total no. of trees be 'X'

Lemon are (1/6) of X = X/6

Orange are (1/2) of X = X/2

Difference is 14

X/2 - X/6 = 14

Lcm is 6

(3X-X)/6 = 14

2X = 14×6

X = 42

PLEASE HELPPPP WITH THIS

Answers

Answer:The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

slope = y2-y1/x2-x1

1 -3 . 3 1

(1 - (-3))/(3-1)

4/2

2

Slope = 2

y = mx + b

y = 2x -5

Suppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.

G1 = the first card drawn is green
G2 = the second card drawn is green

a. P(G1 and G2) =
b. P(At least 1 green) =
c. P(G2|G1) =
d. Are G1 and G2 independent?

Answers

a. P(G1 and G2) = 0.154 b. P(At least 1 green) = 0.592 c. P(G2|G1) = 19/49

d. G1 and G2 are not independent

Let's assume we are drawing cards from a deck without replacement.

There are two possibilities for the first card drawn (G1):

The first card drawn is green (G1).

The first card drawn is not green (Non-G1, which means it's either red or blue).

a. P(G1 and G2) = P(G1) * P(G2|G1)

Since we are drawing without replacement, after drawing a green card for G1, there is one less green card in the deck. Therefore:

P(G1) = Number of green cards / Total number of cards = 20/50 = 2/5

P(G2|G1) = Number of green cards remaining / Total number of cards remaining = 19/49

So, P(G1 and G2) = (2/5) * (19/49) ≈ 0.154

b. P(At least 1 green) = 1 - P(no green cards) = 1 - P(non-G1 and non-G2)

P(non-G1) = Number of non-green cards / Total number of cards = 30/50 = 3/5

P(non-G2|non-G1) = Number of non-green cards remaining / Total number of cards remaining = 29/49

P(no green cards) = P(non-G1) * P(non-G2|non-G1) = (3/5) * (29/49)

So, P(At least 1 green) = 1 - P(no green cards) = 1 - (3/5) * (29/49) ≈ 0.592

c. P(G2|G1) = Number of green cards remaining / Total number of cards remaining = 19/49

d. No, G1 and G2 are not independent because the outcome of drawing the first green card (G1) affects the probability of drawing a green card in the second draw (G2). The conditional probability P(G2|G1) is not equal to the unconditional probability P(G2).

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The value of the probabilities are: a) P(G1 and G2) =0.3182, b) P(At least 1 green) = 0.8485,c)  P(G2|G1) = 0.5455 and d) G1 and G2 dependent.

Given:

Total number of cards = 7 (green) + 5 (yellow)

                                     = 12 cards

a. Since the cards are drawn without replacement, the probability can be calculated as:

P(G1 and G2) = P(G1) * P(G2|G1)

P(G1) = Number of green cards / Total number of cards

        = 7 / 12

or, P(G2|G1) = Number of remaining green cards / Total remaining cards

                    =6/11

So, P(G1 and G2) = (7 / 12) * (6 / 11)

                            = 0.3182

b. P(At least 1 green) = 1 - P(Both yellow)

P(Both yellow) = P(Yellow1) * P(Yellow2|Yellow1)

P(Yellow1) = Number of yellow cards / Total number of cards

                 = 5 / 12

P(Yellow2|Yellow1) = remaining yellow cards / Total remaining cards

                               = 4 / 11

So, P(Both yellow) = (5 / 12) * (4 / 11)

                               = 0.1515

Therefore,

P(At least 1 green) = 1 - 0.1515

                               = 0.8485

c. Since one green card has already been drawn, there are now 6 green cards and 11 cards in total remaining:

P(G2|G1) = Number of green cards / Total remaining cards

              = 6 / 11

              = 0.5455

d. In this case, G2|G1 is not equal to the overall probability of G2.

This indicates that the events are dependent, as the probability of drawing a green card for the second draw changes based on the outcome of the first draw.

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According to the graph, what is the value of the constant in the equation
below?
Height = Constant . Width
• (6, 15)
Height
10-
(3,9)
6+
(2,6)
2 to (0.5, 1.5)
-
4
6
14 16 18 20
8 10 12
Width

Answers

Answer:

The value of the constant is 3

Step-by-step explanation:

Let

y ----> the height

x ----> the width

we have

[tex]y=kx[/tex]

This is the equation of a linear direct variation

The equation of the line passes through the origin

we have the points

(0.5,1.5), (2,6) and (3,9)

see the attached figure to better understand the problem

Find the value of the constant of proportionality k

[tex]k=\frac{y}{x}[/tex]

For (0.5,1.5) ----> [tex]k=\frac{1.5}{0.5}=3[/tex]

For (2,6) ----> [tex]k=\frac{6}{2}=3[/tex]

For (3,9) ----> [tex]k=\frac{9}{3}=3[/tex]

therefore

The value of k is equal to 3

The linear equation is

[tex]y=3x[/tex]

or

[tex]Height=3Width[/tex]

Answer:

I had done this on A P E X and it said it was 80

First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify each of the 2 polynomials. If it is NOT a polynomial, explain why you think it is not a polynomial. For example you may say: Polynomial # 4. has degree of 5 and is classified as a quintic polynomial of 4 terms. We covered this in class (see below). Explain in sentences how you determined degree and "name" or why it is NOT a polynomial: 1. 7 x 4 + 5 x 2 + x − 9 2. 7 x 6 − 4 x 3 + 1 /x

Answers

Final answer:

The first polynomial is a quartic polynomial of degree 4, while the second polynomial is not a polynomial due to a term with a negative exponent.

Explanation:

First, let's state the degree and identify the term with the greatest degree.

The polynomial 7x^4 + 5x^2 + x - 9 has a degree of 4. The monomial with the greatest degree is 7x^4. The polynomial 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent (1/x). Polynomials can only have non-negative integer exponents.

So, in summary:

1. 7x^4 + 5x^2 + x - 9 is a polynomial of degree 4.

2. 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent.

How much food can this container hold? Express your answer in terms of pi

Answers

Answer:

the container can hold 84.82 inches of food.

Step-by-step explanation:

radius = 3 in

height = 9 in

Volume of a cone = 1/3πr²h

                              = 1/3π(3)²(9)

                              = 27π in³

                             = 84.82 in

                             

I hope this help!

brainliest is appreciated... :}

Answer:

It’s 27 if your talking about I-ready

Step-by-step explanation:

Heather won 33 super bouncy balls playing basketball at the county fair. At school she gave two to every student in her math class. She only has 5 remaining. How many students are in her class?

Answers

Ok, first subtract five so we have a more straight number to work with, 28, then divide 28 by 2 to get 14, so there are 14 students in her class.

Hope this helps, if not, comment below please!!!

Answer:

The answer is 14.

Step-by-step explanation

33-5=28

28/2=14

add: (3x^2-5x+6)+(-4x^2-8x+9)
A. -x^2-13x+15
B. 7x^2-13x+15
C. -x^2-13x+3
D. 7x^2+3x-3

Answers

Answer:

A. -x^2-13x+15

Step-by-step explanation:

-4x^2 + 3x^2 = -x^2

-8x + -5x = -13x

6 + 9 = 15

-x^2-13x+15

The length of a rectangle is five times its width. If the area of the rectangle is 320m, find the perimeter

Answers

Answer: The perimeter is 96 m

Step-by-step explanation:

If we tag the length of the rectangle as [tex]l[/tex] and the width as [tex]w[/tex], and if in addition we are told [tex]l=5 w[/tex],the dimensions of the rectangle are as shown in the figure.

Now, the area of a rectangle is given by:

[tex]A=(l)(w)=320 m^{2}[/tex]

Since [tex]l=5 w[/tex]:

[tex]A=(5w)(w)=320 m^{2}[/tex]

Isolating [tex]w[/tex]:

[tex]5w^{2}=320 m^{2}[/tex]

[tex]w=\sqrt{\frac{320 m^{2}}{5}}[/tex]

[tex]w=8 m[/tex]

On the other hand, the perimeter of a triangle is given by the addition of each of its sides. Then, if the rectangle has two sides that measure [tex]w[/tex] and two sides that measure [tex]5 w[/tex], the perimeter is:

[tex]P=2(5)(w)+2w[/tex]

Substituting the value of [tex]w[/tex] in the last equation:

[tex]P=2(5)(8 m)+2(8 m)[/tex]

Finally the perimeter is:

[tex]P=96 m[/tex]

Final answer:

The perimeter of the rectangle is determined by first finding the width using the area given, then calculating the length as five times the width and using the formula P = 2l + 2w. The perimeter is 96 meters.

Explanation:

To solve for the perimeter of the rectangle when we know the area is 320m² and the length is five times the width, we first let w represent the width of the rectangle. Therefore, the length is 5w. Given that the area A is equal to the length times the width, we have the equation w × 5w = 320. Solving for w, we get w² = 64 so w = 8 meters.

Since the length is five times the width, it is 5 × 8 = 40 meters. The perimeter P of a rectangle is given by P = 2l + 2w, where l is the length and w is the width. Substituting the values we have, P = 2(40) + 2(8) = 96 meters.

Solve using substitution:
y = -3x + 5
5x - 4y = -3​

Answers

Answer:

x = 1 y = 2

Step-by-step explanation:

5x - 4y = -3

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

5x + 12x - 20 = -3

17x - 20 + 20 = -3 + 20

17x = 17 ÷ 17

x = 1

y = -3x + 5

y = -3 (1) + 5

y = -3 + 5

y = 2

Albert $1000 earned 1.2% annual interest compounded monthly
$500 lost 2% over the course of the 10 years
$500 grew compounded continuously at rate of 0.8% annually

What is the balance of Albert’s $2000 after 10 years?

Answers

Answer:

  $2159.07

Step-by-step explanation:

The compound interest formula is used to find the balance for the $1000 investment:

  A = P(1 +r/n)^(nt)

  A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43

__

For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...

  A = 500(1 -.02) = 490.00

__

The continuous compounding formula is used for the second $500 investment.

  A = Pe^(rt)

  A = 500e^(.008·10) = 500e^.08 = 541.64

__

The total value of Albert's investments is ...

  $1127.43 +490 +541.64 = $2159.07

Evaluate
Evaluate -(-7)7

Answers

Answer:

The answer is 49 because -(-7)×7 =7×7 = 49

Yo sup??

-(-7)7

=(-1)*(-1)*7*7

=1*49

=49

Hope this helps.

What is the difference between the lowest

temperature and the highest?

Time Temperature

Midnight. -6°C
4 am - 8°C
8 am -4°C
noon 7°C
3 pm 6°C
7 pm -2°C

Answers

Answer:

14

Step-by-step explanation:

highest temperature = 6°c

lowest temperature = -8°c

difference = 6-(-8)

14

Final answer:

The difference between the lowest temperature of -8°C and the highest temperature of 7°C is 15°C.

Explanation:

The difference between the lowest temperature and the highest temperature is found by subtracting the lowest temperature from the highest temperature listed in the data. According to the given temperatures, the lowest temperature is -8°C at 4 am and the highest temperature is 7°C at noon. To find the difference, we calculate 7°C - (-8°C), which equals 15°C. Thus, the temperature range is 15°C.

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What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?
O y=2x-2
y=. 2x+ 2
Oy=2x+2

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts

m = [tex]\frac{2-0}{0+1}[/tex] = 2

Note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = 2x + 2 ← equation of line

This really doesn’t make sense to me... Please explain and tell me the answer

Answers

Answer:

d)

Step-by-step explanation:

the answer would be d) because complementary angles equal 90 and, it said that angles d) and a) are complementary. well it would be false since d=125 and obviously angle a) would also be 125 since they are vertical angles

4m is greater or less then 400 dm

Answers

Answer:

greater

Step-by-step explanation:

4m is greater than 400 dm

What is the simplest form for 28 out of 32

Answers

Answer:

7/8 decimal form: 0.875

Step-by-step explanation:

28        4

----   ÷   ----   = 7/8

32        4      

which of the following is equivalent to log9w

Answers

what do you meanAnswer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Did the 2020 edge quiz

2/3xd=10/9 what is d

Answers

Answer:d=5/3x

Step-by-step explanation:

Let's solve for d.

(2/3x)(d)=10/9

Step 1: Divide both sides by (2x)/3.

2/3dx / 2x/3=10/9 / 2x/3

d=5/3x

Final answer:

To find the value of d in the equation 2/3 * d = 10/9, multiply both sides by the reciprocal of 2/3. The value of d is 5/3 or approximately 1.67.

Explanation:

To solve the equation 2/3 * d = 10/9 for d, we can start by multiplying both sides of the equation by the reciprocal of 2/3, which is 3/2. This gives us:



d = (10/9) * (3/2) = 30/18 = 5/3



Therefore, d = 5/3 or d ≈ 1.67.

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what type of function is f(x)3^(-2x)

Answers

Answer:

exponential function

Step-by-step explanation:

Torique calculates that a weekend is 48 hours long and that he sleeps for 16 hours each weekend, 1/3 of the weekend. What fraction of each weekend does Tyrique spend awake? What percent represents that fraction?

Answers

If torique spends 1/3 aslee the rest would be 2/3

Final answer:

Tyrique spends 2/3 of each weekend awake, which is 32 hours out of the total 48 hours. This translates to 66.67% of the weekend.

Explanation:

Tyrique calculates that he sleeps for 16 hours out of a 48 hour weekend, which means he sleeps for 1/3 of the weekend. To calculate the fraction of the weekend he spends awake, we subtract the sleeping fraction from the whole.

Total hours in a weekend: 48 hours

Sleeping hours: 16 hours

Awake hours: 48 hours - 16 hours = 32 hours

Now, we convert 32 hours to a fraction of the weekend.

Awake fraction: 32 hours / 48 hours = 2/3 of the weekend

Next, we convert this fraction to a percentage.

Awake percentage: (2/3) × 100 = 66.67%

Therefore, Tyrique spends 2/3 of each weekend awake, which is equivalent to 66.67% of the weekend.

3.) Slopes of parallel/perpendicular lines
FIND THE SLOPE OF THE GIVEN LINE




b.) ​What is the slope of the line parallel to the line in Part A above? How do you know? What is the relationship between lines that are parallel?



c.) ​What is the slope of the line perpendicular ​to the line in Part A above? How do you know? What is the relationship between lines that are perpendicular?

Answers

1. Slope of given line = -1/2

2. Slope of line parallel to given line = -1/2

3. Slope of line perpendicular to given line = 2

Step-by-step explanation:

1. Slope of Given line:

We can see that there are two points on the line(highlighted by dots)

Let the two points be (x1,y1) and (x2,y2)

Then

(x1,y1) = (2,2)

(x2,y2) = (-2,4)

The formula for slope is given by:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{4-2}{-2-2}\\m = \frac{2}{-4}\\m = -\frac{1}{2}[/tex]

Hence, the slope of given line is -1/2

2. Slope of line parallel to given line

Let [tex]m_1[/tex] be the slope of the line parallel to given line.

The slopes of two parallel lines are equal as they change at same rate with respect to x-axis.

So,

[tex]m = m_1\\-\frac{1}{2} = m_1[/tex]

Hence,

The slope of line parallel to given line will also be -1/2

3. Slope of line perpendicular to given line:

Let m_2 be the slope of line perpendicular to given line

The slope of line perpendicular to a given line is the negative reciprocal of the slope of first line or simple it can be put like " The product of slopes of two perpendicular lines is -1"

So,

[tex]m.m_2 = -1\\-\frac{1}{2}.m_2 = -1\\m_2 = -1 * -2\\m_2 =2[/tex]

Hence,

The slope of line perpendicular to given line is: 2

Keywords: slope, parallel lines

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which could be the function graphed below

Answers

Answer: A on Edge 2020

Step-by-step explanation: I'm super late on this, but this is the answer. Hopefully this helps those that come after me

Answer:

a

Step-by-step explanation:

how do you solve 23.61 divided by 3

Answers

Answer:

7.87

Step-by-step explanation

Divide

the answer is 7.87 just divide 23.61 and 3

What is 70% of 38, please show work

Answers

Answer: 26.6

Step-by-step explanation: To solve this problem, let's ignore the first  2 words which are "what is."

So, we can really change the problem to say 70% of 38.

To find 70% of 38, first write 70% as a decimal by moving the decimal point 2 places to the left to get .70.

Next, the word "of" means multiply, so we have (.70)(38) which is 26.6.

So 70% of 38 is 26.6.

Other Questions
Raj and Dev leave the school at 3:30 PM and cycle in opposite direction. If their speeds are 5km/hr and 7km/hr respectively, at what time they will be 18 km apart? Jennifer is studying the effects of nutrition on student performance in school. She researches a group of students and finds that students who miss breakfast often do poorly during the school day. What is the dependent variable in this scenario? Mr. A owned 75% of the voting stock and 85% of the nonvoting stock of Corporation Y. Mr. A transferred property with a fair market value of $90,000 and an adjusted basis of $70,000 to Y for an additional 5% of the voting stock and 5% of the nonvoting stock. What is the amount of gain to be recognized by Mr. A? Which of the following is a way to deemphasize negatives? A. Avoid linking negative information to an audience benefit B. Placing negative information in the beginning C. Using hidden negative in place of negative connotations D. Justifying negative information by giving a reason E. Focusing on limitations to solve a problem efficiently Which expressions are equivalent to 2^52^4? Check all that apply. What theory argues that free trade is beneficial, but that differences in factor endowments, not productivity, determine the pattern of international trade? Heckscher-Ohlin Leontief Ricardo Porter-Friedman Jenny manages sales dealership of high-end luxury brand of automobile. Her target market is limited to a specific social class, which restricts her customer base. If her company creates cars for middle class consumers she risks:__________ What is the circumference of a tire with a radius of 22 centimeters why do we have black holes? Laura created a website to create T-shirts. In the first month she put up her website she had only a single T-shirt order. Each month she got more orders. Following this function f(n)=2n-1How many total orders did she receive over the first year? Does one brand have a more consistent number of chips per cookie? A. No. Both brands have roughly the same number of chips per cookie. B. Yes. The name brand has a more consistent number of chips per cookie. C. Yes. The store brand has a more consistent number of chips per cookie. D. There is insufficient information to draw a conclusion. Did the researcher draw the correct conclusions given the data?"" or ""Is there a chance that the researcher said there was an effect when there really wasnt one?"" are examples of:__________ ak = v+w solve for a Does the reaction of a main-group nonmetal oxide in water produce an acidic or a basic solution? Write a balanced equation for the reaction of a Group 6A(16) nonmetal oxide with water. A school football team is selling raffle tickets As a fundraiser it cost them $155 to print the tickets and they would like to make at least a $2500 profit how much money do they need to raise to cover the cost of the printing and meet their goals Which event explain the difference between the two maps Jolie uses the childcare facilities at her gym. Her monthly dues are $32, and childcare is $9 per visit. This month, she does notwish to spend more than $122 for both dues and childcare. If x represents the number of times she can use childcare services,which of the following inequalities symbolizes this situation?A.$32x+ $9 > $122B. $32x + $9 < $122C. $9x + $32> $122D. $9x + $32 < $122 HELP ASAP FOR BRAINLIEST: The time required to finish a test in normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. What is the z-score for a student who finishes the test in 23 minutes? Show work please :) While exploring a coal mine, scientists found plant fossils in the ceiling of the mine which had been preserved by an earthquake. Samples taken from one of the fossils have carbon14 activities of 40.0 counts/min. A reference sample of the same size, from a plant alive today, has a carbon14 activity of 160.0 counts/min. If carbon14 has a halflife of 5730 years, what is the age of the plant fossil in years? Every BreathSummarySetting where and about whenMain CharactersConflictSolutionMain MessageWould you recommend this book